Metrics for sintan (problem 3.4.5)

analyze1.1s (3.3%)

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 11 computations (35.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 595.0ms

...c/correct-round.rkt:119:19: 221.0ms (37.1% of total)

ival-sub: 93.0ms (15.6% of total)

ival-<=: 86.0ms (14.4% of total)

ival-sin: 85.0ms (14.3% of total)

ival-tan: 66.0ms (11.1% of total)

ival-div: 30.0ms (5% of total)

ival-and: 12.0ms (2% of total)

backward-pass: 2.0ms (0.3% of total)

sample11.8s (36.2%)

Results

7.6s	4111×	2	valid
1.9s	1306×	3	valid
1.4s	2748×	1	valid
18.0ms	91×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 10.1s

ival-tan: 5.3s (52.9% of total)

ival-sin: 2.6s (25.5% of total)

ival-sub: 657.0ms (6.5% of total)

backward-pass: 512.0ms (5.1% of total)

...c/correct-round.rkt:119:19: 465.0ms (4.6% of total)

ival-div: 266.0ms (2.6% of total)

ival-<=: 243.0ms (2.4% of total)

ival-and: 25.0ms (0.2% of total)

Bogosity

preprocess208.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

1280×	`sum5-define`
800×	`sum4-define`
676×	`fnmadd-define`
610×	`fnmadd-define`
594×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	37	30
2	90	27
3	273	27
4	724	27
5	1555	27
6	2749	27
7	2787	27
8	3156	27
9	3172	27
0	6	9
1	13	9
2	23	9
3	42	9
4	81	9
5	190	9
6	513	9
7	1101	9
8	2365	9
9	2557	9
10	2576	9
11	2584	9
0	2584	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)

explain845.0ms (2.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
174	-	1	(1.4140031444383705e-103)	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
83	-	0	-	`(-.f64 eps (sin.f64 eps))`
83	-	0	-	`(-.f64 eps (tan.f64 eps))`
0	-	0	-	`(sin.f64 eps)`
0	-	0	-	`eps`
0	-	0	-	`(tan.f64 eps)`

Results

528.0ms	274×	2	valid
154.0ms	74×	3	valid
73.0ms	162×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 58 to 20 computations (65.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 636.0ms

ival-tan: 344.0ms (54.1% of total)

ival-sin: 168.0ms (26.4% of total)

backward-pass: 68.0ms (10.7% of total)

ival-sub: 40.0ms (6.3% of total)

ival-div: 16.0ms (2.5% of total)

const: 1.0ms (0.2% of total)

eval1.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	0.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify119.0ms (0.4%)

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

676×	`fnmadd-define`
450×	`fmsub-define`
440×	`fnmsub-define`
394×	`fmm-def`
368×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	22
1	13	22
2	23	22
3	42	22
4	81	22
5	190	22
6	513	22
7	1101	22
8	2365	22
9	2557	22
10	2576	22
11	2584	22
0	2584	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)

localize443.0ms (1.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 eps)
✓	accuracy	70.3%	(-.f64 eps (tan.f64 eps))
✓	accuracy	70.3%	(-.f64 eps (sin.f64 eps))
✓	accuracy	32.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

259.0ms	137×	2	valid
67.0ms	37×	3	valid
37.0ms	81×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 24 to 7 computations (70.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 308.0ms

ival-tan: 168.0ms (54.6% of total)

ival-sin: 92.0ms (29.9% of total)

ival-sub: 18.0ms (5.8% of total)

backward-pass: 17.0ms (5.5% of total)

ival-div: 12.0ms (3.9% of total)

const: 0.0ms (0% of total)

series11.0ms (0%)

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
3.0ms	eps	@	inf	(/ (- eps (sin eps)) (- eps (tan eps)))
2.0ms	eps	@	-inf	(/ (- eps (sin eps)) (- eps (tan eps)))
1.0ms	eps	@	0	(/ (- eps (sin eps)) (- eps (tan eps)))
1.0ms	eps	@	-inf	(- eps (tan eps))
1.0ms	eps	@	inf	(- eps (tan eps))

rewrite765.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3748×	`-lowering-.f32`
3748×	`-lowering-.f64`
3480×	`/-lowering-/.f32`
3480×	`/-lowering-/.f64`
1496×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	46	19
2	419	19
3	6321	19
0	8177	19

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 373

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (sin.f64 eps) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(+.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) (/.f64 (sin.f64 eps) (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(+.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps)))))
(+.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 (tan.f64 eps) 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 (tan.f64 eps) 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 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 eps #s(literal 2 binary64))))) (+.f64 eps (sin.f64 eps))) (-.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 (-.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 eps (.f64 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 eps (.f64 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)))))
(.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))))

simplify631.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

4708×	`-lowering-.f32`
4708×	`-lowering-.f64`
1320×	`+-lowering-+.f64`
1320×	`+-lowering-+.f32`
1274×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	148	547
1	457	499
2	1536	461
3	6921	461
0	8078	461

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 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 eps (.f64 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) 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 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.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 (.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (.f64 eps 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 (.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.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) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 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 (sin.f64 eps) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (+.f64 (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal 1 binary64)) (/.f64 (sin.f64 eps) eps)) #s(literal -1 binary64)))) 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 #s(literal 0 binary64) (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))))) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 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 (.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 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 eps) (.f64 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 (.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 (.f64 eps eps) (+.f64 #s(literal -1/3 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -2/15 binary64) (.f64 eps (*.f64 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 (.f64 eps eps) (+.f64 #s(literal -2/15 binary64) (.f64 eps (.f64 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 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))))

eval89.0ms (0.3%)

Compiler: Compiled 12278 to 1225 computations (90% saved)

prune137.0ms (0.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	414	7	421
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	415	7	422

Accuracy

100.0%

Counts

422 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	0.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))))
▶	0.8%	(/.f64 (.f64 (.f64 eps eps) (.f64 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)))
	0.6%	(/.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) (-.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 eps (.f64 eps #s(literal 27/112000 binary64)))))))) #s(literal -1/2 binary64))
▶	99.9%	(+.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))
▶	99.8%	(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
▶	99.6%	#s(literal -1/2 binary64)

Compiler

Compiled 212 to 136 computations (35.8% saved)

simplify515.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 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	(*.f64 eps eps)
✓	cost-diff	(.f64 (.f64 eps eps) (.f64 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	(/.f64 (.f64 (.f64 eps eps) (.f64 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	(+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))
✓	cost-diff	(.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))
✓	cost-diff	(.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))
✓	cost-diff	(+.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))
✓	cost-diff	(*.f64 eps eps)
✓	cost-diff	(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
✓	cost-diff	(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
✓	cost-diff	(+.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)))))))
✓	cost-diff	(*.f64 eps eps)
✓	cost-diff	(.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))))))))
✓	cost-diff	(+.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))

Rules

4790×	`-lowering-.f32`
4790×	`-lowering-.f64`
1492×	`distribute-lft-in`
1436×	`+-lowering-+.f64`
1436×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	322
1	118	291
2	433	287
3	1151	287
4	2798	287
5	5074	287
6	6129	287
0	8461	287

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))
(* eps 27/112000)
27/112000
-1/2
-1/2
(+ (* 9/40 (* eps eps)) -1/2)
(* 9/40 (* eps eps))
9/40
(* eps eps)
eps
-1/2
(+ (* eps (* eps (+ 9/40 (* (* eps eps) -27/2800)))) -1/2)
(* eps (* eps (+ 9/40 (* (* eps eps) -27/2800))))
eps
(* eps (+ 9/40 (* (* eps eps) -27/2800)))
(+ 9/40 (* (* eps eps) -27/2800))
9/40
(* (* eps eps) -27/2800)
(* eps eps)
-27/2800
-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
(* 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))))))
1/6
(* (* 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)

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))
(* eps 27/112000)
(*.f64 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)
(+ (* 9/40 (* eps eps)) -1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 9/40 binary64))))
(* 9/40 (* eps eps))
(.f64 eps (.f64 eps #s(literal 9/40 binary64)))
9/40
#s(literal 9/40 binary64)
(* eps eps)
(*.f64 eps eps)
eps
-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 (+ 9/40 (* (* eps eps) -27/2800)))
(.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))
(+ 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 eps)
(*.f64 eps eps)
-27/2800
#s(literal -27/2800 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 eps (.f64 eps (.f64 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)))
(* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))
(.f64 eps (.f64 eps (.f64 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)
(*.f64 eps eps)
eps
(* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))
(.f64 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))))))))
(+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))
(+.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)))))))
1/6
#s(literal 1/6 binary64)
(* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))
(.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))))))
(+ -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)

localize1.2s (3.7%)

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
✓	accuracy	99.5%	(.f64 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	70.3%	(-.f64 eps (tan.f64 eps))
✓	accuracy	32.8%	(/.f64 (.f64 (.f64 eps eps) (.f64 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 eps eps)
✓	accuracy	99.8%	(.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) #s(literal -27/2800 binary64))
✓	accuracy	99.7%	(.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	99.8%	(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
✓	accuracy	99.8%	(.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 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 eps (.f64 eps #s(literal 27/112000 binary64))))))))
✓	accuracy	99.8%	(.f64 eps (.f64 eps #s(literal 27/112000 binary64)))
✓	accuracy	99.3%	(.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (*.f64 eps #s(literal 27/112000 binary64)))))

Results

592.0ms	128×	2	valid
228.0ms	47×	3	valid
198.0ms	80×	1	valid
1.0ms	1×	0	valid

Compiler

Compiled 327 to 37 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 648.0ms

ival-tan: 167.0ms (25.8% of total)

...c/correct-round.rkt:119:19: 158.0ms (24.4% of total)

ival-mult: 150.0ms (23.1% of total)

backward-pass: 101.0ms (15.6% of total)

ival-add: 54.0ms (8.3% of total)

ival-sub: 9.0ms (1.4% of total)

ival-div: 8.0ms (1.2% of total)

const: 1.0ms (0.2% of total)

series38.0ms (0.1%)

Counts

19 → 228

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 (+ (* 9/40 (* eps eps)) -1/2)>
#<alt (* 9/40 (* eps eps))>
#<alt (+ (* eps (* eps (+ 9/40 (* (* eps eps) -27/2800)))) -1/2)>
#<alt (* eps (* eps (+ 9/40 (* (* eps eps) -27/2800))))>
#<alt (* eps (+ 9/40 (* (* eps eps) -27/2800)))>
#<alt (+ 9/40 (* (* eps eps) -27/2800))>
#<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 (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))>
#<alt (* eps (+ -27/2800 (* eps (* eps 27/112000))))>
#<alt (* eps (* eps 27/112000))>
#<alt (* eps (* eps (+ -27/2800 (* eps (* eps 27/112000)))))>
#<alt (* (* eps eps) -27/2800)>
#<alt (- eps (tan eps))>
#<alt (* (* eps eps) -1/362880)>

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 (- (* 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 -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 eps)>
#<alt (* eps (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* eps (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* eps (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* -27/2800 (pow eps 3))>
#<alt (* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* -27/2800 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2))))))>
#<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 (* -1/362880 (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 eps)>
#<alt (* eps (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* eps (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* eps (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt (* -1/362880 (pow eps 7))>
#<alt (* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* (pow eps 7) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* -1/362880 (pow eps 7))>
#<alt (* -1 (* (pow eps 7) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))>
#<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 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 (* -27/2800 (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 (* -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))>

Calls

57 calls:

Time	Variable		Point	Expression
8.0ms	eps	@	inf	(/ (* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))) (- eps (tan eps)))
2.0ms	eps	@	inf	(+ (* (* eps eps) (+ 9/40 (* eps (* eps (+ -27/2800 (* eps (* eps 27/112000))))))) -1/2)
2.0ms	eps	@	0	(+ (* (* eps eps) (+ 9/40 (* eps (* eps (+ -27/2800 (* eps (* eps 27/112000))))))) -1/2)
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	@	inf	(* (* eps eps) (+ 9/40 (* eps (* eps (+ -27/2800 (* eps (* eps 27/112000)))))))

rewrite808.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2978×	`-lowering-.f32`
2978×	`-lowering-.f64`
2910×	`fma-lowering-fma.f32`
2910×	`fma-lowering-fma.f64`
2460×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	216
1	257	191
2	2337	191
0	8309	191

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 442

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))))))
(+ (* 9/40 (* eps eps)) -1/2)
(* 9/40 (* eps eps))
(+ (* eps (* eps (+ 9/40 (* (* eps eps) -27/2800)))) -1/2)
(* eps (* eps (+ 9/40 (* (* eps eps) -27/2800))))
(* eps (+ 9/40 (* (* eps eps) -27/2800)))
(+ 9/40 (* (* eps eps) -27/2800))
(/ (* (* 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 (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))
(* eps (+ -27/2800 (* eps (* eps 27/112000))))
(* eps (* eps 27/112000))
(* eps (* eps (+ -27/2800 (* eps (* eps 27/112000)))))
(* (* eps eps) -27/2800)
(- eps (tan eps))
(* (* eps eps) -1/362880)

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 (.f64 eps eps) #s(literal 9/40 binary64)) (+.f64 (.f64 (.f64 eps eps) (.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 -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 9/40 binary64))) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 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 (.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 #s(literal 9/40 binary64)) (+.f64 (.f64 (.f64 eps eps) (.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 (+.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 (.f64 eps eps) #s(literal 9/40 binary64) (+.f64 (.f64 (.f64 eps eps) (.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 (.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 (.f64 eps eps) (.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 (+.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 #s(literal -1/8 binary64) (.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -9/80 binary64))))) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))))
(fma.f64 (+.f64 (.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))))
(fma.f64 (.f64 eps #s(literal 9/40 binary64)) eps (+.f64 (.f64 (.f64 eps eps) (.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 (.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))
(/.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 (.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 -1/8 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)))))))) #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 (+.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 (.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 -1/8 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))))))
(/.f64 #s(literal 1 binary64) (/.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)))))))) #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 (.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))))))))) #s(literal -1/8 binary64))))
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(fma.f64 #s(literal -1 binary64) (tan.f64 eps) eps)
(/.f64 (-.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)))))
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(.f64 #s(literal -1/362880 binary64) (.f64 eps eps))
(.f64 (.f64 eps #s(literal -1/362880 binary64)) eps)

simplify668.0ms (2%)

Algorithm

1×	egg-herbie

Rules

4810×	`-lowering-.f32`
4810×	`-lowering-.f64`
2018×	`sum3-define`
1940×	`+-lowering-+.f64`
1940×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	2171
1	634	2120
2	1953	2082
3	7090	2082
0	8715	2082

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

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)
(- (* 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))
-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 eps)
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(* -27/2800 (pow eps 3))
(* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* -27/2800 (pow eps 3))
(* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (- 27/2800 (* 9/40 (/ 1 (pow eps 2))))))
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)
(* -1/362880 (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 eps)
(* eps (+ 1/6 (* -1/120 (pow eps 2))))
(* eps (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* eps (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -1/362880 (pow eps 7))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 7) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 7))
(* -1 (* (pow eps 7) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
(* -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 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)))))
(* -27/2800 (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)))
(* -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))

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 (.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 (.f64 eps 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 eps (.f64 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 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (*.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 eps (.f64 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 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps))) (/.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (*.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 (.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))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps 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 (.f64 eps 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 eps (.f64 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 eps (.f64 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 eps (.f64 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 eps (.f64 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 (.f64 eps 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 (.f64 eps 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 eps (.f64 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 eps (.f64 eps (*.f64 eps eps))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps (.f64 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 eps (.f64 eps (.f64 eps eps))))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps (.f64 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 eps (.f64 eps (.f64 eps eps))))))
(* 27/112000 (pow eps 4))
(.f64 #s(literal 27/112000 binary64) (.f64 eps (.f64 eps (.f64 eps eps))))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
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(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
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(.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 eps (.f64 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 -1/120 binary64) (.f64 eps (.f64 eps (*.f64 eps eps))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 6 binary64)))))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* eps (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal -1/120 binary64))))
(* eps (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 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)))))))
(* eps (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 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))))))))
(* -1/362880 (pow eps 7))
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(.f64 (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 7 binary64)))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(.f64 (+.f64 (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps))) (/.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (*.f64 eps eps))))) (pow.f64 eps #s(literal 7 binary64)))
(* (pow eps 7) (- (+ (* 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 7 binary64)) (+.f64 (+.f64 (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps))) (/.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (*.f64 eps eps))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 6 binary64)))))
(* -1/362880 (pow eps 7))
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 eps eps))) (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 7 binary64))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(.f64 (+.f64 (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps))) (/.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (*.f64 eps eps))))) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (- (+ 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 7 binary64)) (+.f64 (+.f64 (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps))) (/.f64 #s(literal -1/120 binary64) (.f64 eps (.f64 eps (*.f64 eps eps))))) (/.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 6 binary64)))))
(* -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 #s(literal 27/112000 binary64) (.f64 eps (*.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)))))
(* (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 #s(literal 27/112000 binary64) (.f64 eps (*.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)))))
(* -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)))))
(* 27/112000 (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 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -27/2800 binary64))
(* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))
(.f64 (.f64 eps 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 (.f64 eps 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 (.f64 eps 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 eps (.f64 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 eps (.f64 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 eps (.f64 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 eps (.f64 eps (*.f64 eps eps))))
(* 27/112000 (pow eps 4))
(.f64 #s(literal 27/112000 binary64) (.f64 eps (.f64 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 eps (.f64 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 eps (.f64 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 eps (.f64 eps (*.f64 eps eps))))
(* -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 eps) (.f64 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 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 eps (.f64 (.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 eps (*.f64 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)))))
(* -1/362880 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
(* -1/362880 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
(* -1/362880 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
(* -1/362880 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
(* -1/362880 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
(* -1/362880 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
(* -1/362880 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
(* -1/362880 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
(* -1/362880 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
(* -1/362880 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
(* -1/362880 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
(* -1/362880 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))

eval254.0ms (0.8%)

Compiler: Compiled 23690 to 1924 computations (91.9% saved)

prune409.0ms (1.3%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	775	3	778
Fresh	0	2	2
Picked	0	5	5
Done	0	0	0
Total	775	10	785

Accuracy

100.0%

Counts

785 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	0.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))))
▶	0.8%	(/.f64 (.f64 (.f64 eps eps) (+.f64 (.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 eps (.f64 eps eps))) (.f64 eps #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
▶	0.8%	(/.f64 (.f64 (.f64 eps eps) (.f64 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 (-.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (+.f64 eps (tan.f64 eps)) (+.f64 eps (tan.f64 eps)))))
✓	0.8%	(/.f64 (.f64 (.f64 eps eps) (.f64 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)))
▶	0.6%	(/.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) (-.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 eps (.f64 eps #s(literal 27/112000 binary64)))))))) #s(literal -1/2 binary64))
▶	99.9%	(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))) #s(literal -1/2 binary64)))
✓	99.9%	(+.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))
✓	99.8%	(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
✓	99.6%	#s(literal -1/2 binary64)

Compiler

Compiled 361 to 201 computations (44.3% saved)

simplify518.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 eps eps) (.f64 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	6656	(-.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) (*.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
✓	cost-diff	19968	(/.f64 (-.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 eps (tan.f64 eps))))
✓	cost-diff	33216	(/.f64 (.f64 (.f64 eps eps) (.f64 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 (-.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (+.f64 eps (tan.f64 eps)) (+.f64 eps (tan.f64 eps)))))
✓	cost-diff	0	(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))))
✓	cost-diff	0	(sin.f64 eps)
✓	cost-diff	0	(-.f64 eps (sin.f64 eps))
✓	cost-diff	0	(/.f64 (-.f64 eps (sin.f64 eps)) (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))))
✓	cost-diff	0	(/.f64 (sin.f64 eps) eps)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))
✓	cost-diff	0	(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
✓	cost-diff	0	(/.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) (-.f64 eps (tan.f64 eps)))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	128	(+.f64 (.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 eps (.f64 eps eps))) (.f64 eps #s(literal 1/6 binary64)))
✓	cost-diff	128	(.f64 (.f64 eps eps) (+.f64 (.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 eps (.f64 eps eps))) (.f64 eps #s(literal 1/6 binary64))))
✓	cost-diff	128	(/.f64 (.f64 (.f64 eps eps) (+.f64 (.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 eps (.f64 eps eps))) (.f64 eps #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
✓	cost-diff	0	(+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))) #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
✓	cost-diff	256	(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))) #s(literal -1/2 binary64)))

Rules

4104×	`-lowering-.f32`
4104×	`-lowering-.f64`
2188×	`+-lowering-+.f64`
2188×	`+-lowering-+.f32`
1774×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	578
1	201	523
2	727	507
3	2354	501
0	8305	501

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(+ (* (* eps eps) 9/40) (+ (* (* eps eps) (* (* eps eps) (+ -27/2800 (* eps (* eps 27/112000))))) -1/2))
(+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 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))))))))))
(* (* eps eps) 9/40)
(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
(* eps eps)
(*.f64 eps eps)
eps
9/40
#s(literal 9/40 binary64)
(+ (* (* eps eps) (* (* eps eps) (+ -27/2800 (* eps (* eps 27/112000))))) -1/2)
(+.f64 (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps (.f64 eps eps)))) #s(literal -1/2 binary64))
(* (* eps eps) (* (* eps eps) (+ -27/2800 (* eps (* eps 27/112000)))))
(.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))) (.f64 eps (.f64 eps (.f64 eps eps))))
(* (* eps eps) (+ -27/2800 (* eps (* eps 27/112000))))
(.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))
(+ -27/2800 (* eps (* eps 27/112000)))
(+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))
-27/2800
#s(literal -27/2800 binary64)
(* eps (* eps 27/112000))
(.f64 eps (.f64 eps #s(literal 27/112000 binary64)))
(* eps 27/112000)
(*.f64 eps #s(literal 27/112000 binary64))
27/112000
#s(literal 27/112000 binary64)
-1/2
#s(literal -1/2 binary64)
(/ (* (* eps eps) (+ (* (+ -1/120 (* eps (* eps (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (* eps eps))) (* eps 1/6))) (- eps (tan eps)))
(/.f64 (.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps 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 eps) (+ (* (+ -1/120 (* eps (* eps (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (* eps eps))) (* eps 1/6)))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps 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)
(*.f64 eps eps)
eps
(+ (* (+ -1/120 (* eps (* eps (+ 1/5040 (* (* eps eps) -1/362880))))) (* eps (* eps eps))) (* eps 1/6))
(.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps 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))))) (* eps (* eps 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 eps (*.f64 eps eps)))
(+ -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 (+ 1/5040 (* (* eps eps) -1/362880)))
(.f64 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 (* eps eps))
(.f64 eps (.f64 eps eps))
(* eps 1/6)
(*.f64 eps #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 (- 1 (/ (sin eps) eps))) (- eps (tan eps)))
(/.f64 (+.f64 eps (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 eps)) #s(literal 1 binary64))) (-.f64 eps (tan.f64 eps)))
(* eps (- 1 (/ (sin eps) eps)))
(+.f64 eps (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 eps)) #s(literal 1 binary64)))
eps
(- 1 (/ (sin eps) eps))
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))
1
#s(literal 1 binary64)
(/ (sin eps) eps)
(/.f64 (sin.f64 eps) eps)
(sin eps)
(sin.f64 eps)
(- eps (tan eps))
(-.f64 eps (tan.f64 eps))
(tan eps)
(tan.f64 eps)
(/ (- eps (sin eps)) (* eps (- 1 (/ (/ (sin eps) eps) (cos eps)))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))))
(- eps (sin eps))
(-.f64 eps (sin.f64 eps))
eps
(sin eps)
(sin.f64 eps)
(* eps (- 1 (/ (/ (sin eps) eps) (cos eps))))
(+.f64 eps (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 eps)) #s(literal 1 binary64)) (cos.f64 eps)))
(- 1 (/ (/ (sin eps) eps) (cos eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))
1
#s(literal 1 binary64)
(/ (/ (sin eps) eps) (cos eps))
(/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))
(/ (sin eps) eps)
(/.f64 (sin.f64 eps) eps)
(cos eps)
(cos.f64 eps)
(/ (* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))) (/ (- (* (* eps eps) (+ eps (tan eps))) (* (+ eps (tan eps)) (pow (tan eps) 2))) (* (+ eps (tan eps)) (+ eps (tan eps)))))
(/.f64 (.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps 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 eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps 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)
(*.f64 eps eps)
eps
(* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))
(.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps 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)))))))))
(+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps 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))))))))
1/6
#s(literal 1/6 binary64)
(* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))
(.f64 (.f64 eps 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)))))
(+ 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 (tan eps))) (* (+ eps (tan eps)) (pow (tan eps) 2))) (* (+ eps (tan eps)) (+ eps (tan eps))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps)))
(- (* (* eps eps) (+ eps (tan eps))) (* (+ eps (tan eps)) (pow (tan eps) 2)))
(.f64 (+.f64 eps (tan.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(* (* eps eps) (+ eps (tan eps)))
(.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps)))
(+ eps (tan eps))
(+.f64 eps (tan.f64 eps))
(tan eps)
(tan.f64 eps)
(* (+ eps (tan eps)) (pow (tan eps) 2))
(*.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(pow (tan eps) 2)
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (+ eps (tan eps)) (+ eps (tan eps)))
(*.f64 (+.f64 eps (tan.f64 eps)) (+.f64 eps (tan.f64 eps)))

localize2.3s (7.1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f64 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	84.2%	(-.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) (*.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
✓	accuracy	38.7%	(/.f64 (-.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 eps (tan.f64 eps))))
✓	accuracy	32.8%	(/.f64 (.f64 (.f64 eps eps) (.f64 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 (-.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (+.f64 eps (tan.f64 eps)) (+.f64 eps (tan.f64 eps)))))
✓	accuracy	99.9%	(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))))
✓	accuracy	70.3%	(-.f64 eps (sin.f64 eps))
✓	accuracy	52.9%	(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))
✓	accuracy	32.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))))
✓	accuracy	99.9%	(*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)))
✓	accuracy	70.3%	(-.f64 eps (tan.f64 eps))
✓	accuracy	53.0%	(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))
✓	accuracy	32.8%	(/.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) (-.f64 eps (tan.f64 eps)))
✓	accuracy	99.6%	(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
✓	accuracy	99.5%	(*.f64 eps #s(literal 1/6 binary64))
✓	accuracy	70.3%	(-.f64 eps (tan.f64 eps))
✓	accuracy	32.8%	(/.f64 (.f64 (.f64 eps eps) (+.f64 (.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 eps (.f64 eps eps))) (.f64 eps #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
✓	accuracy	99.8%	(.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))
✓	accuracy	99.8%	(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
✓	accuracy	99.8%	(.f64 eps (.f64 eps #s(literal 27/112000 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))

Results

1.2s	146×	2	valid
402.0ms	74×	1	valid
313.0ms	35×	3	valid
2.0ms	1×	0	valid

Compiler

Compiled 625 to 59 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-mult: 310.0ms (22.8% of total)

backward-pass: 203.0ms (14.9% of total)

ival-div: 197.0ms (14.5% of total)

ival-tan: 162.0ms (11.9% of total)

ival-add: 152.0ms (11.2% of total)

ival-sin: 132.0ms (9.7% of total)

...c/correct-round.rkt:119:19: 92.0ms (6.8% of total)

ival-cos: 49.0ms (3.6% of total)

ival-sub: 44.0ms (3.2% of total)

ival-pow: 18.0ms (1.3% of total)

const: 3.0ms (0.2% of total)

series70.0ms (0.2%)

Counts

27 → 324

Calls

Call 1

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

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 (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 (- (* -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 (- (* (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 (+ (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ 1/5040 (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps))))) 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 eps)>
#<alt (* eps (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* eps (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* eps (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt (* -1/362880 (pow eps 7))>
#<alt (* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* (pow eps 7) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* -1/362880 (pow eps 7))>
#<alt (* -1 (* (pow eps 7) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))>
#<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 (* 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>
#<alt (+ 1 (* -1 (/ (sin eps) eps)))>
#<alt (+ 1 (* -1 (/ (sin eps) eps)))>
#<alt (+ 1 (* -1 (/ (sin eps) eps)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (sin eps) eps)))>
#<alt (+ 1 (* -1 (/ (sin eps) eps)))>
#<alt (+ 1 (* -1 (/ (sin eps) eps)))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow eps 2)))>
#<alt (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))>
#<alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))>
#<alt (/ (sin eps) eps)>
#<alt (/ (sin eps) eps)>
#<alt (/ (sin eps) eps)>
#<alt (/ (sin eps) eps)>
#<alt (/ (sin eps) eps)>
#<alt (/ (sin eps) eps)>
#<alt (/ (sin eps) eps)>
#<alt (/ (sin eps) 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) (/ (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)))>
#<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) (- (* -1/181440 (/ (sin eps) (* eps (cos eps)))) (+ 1/362880 (* -1/362880 (/ (sin eps) (* eps (cos eps)))))))>
#<alt (* (pow eps 8) (- (+ (* -1/181440 (/ (sin eps) (* eps (cos eps)))) (+ (* -1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ 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)))) (/ (* (sin eps) (- (* -1/181440 (/ (sin eps) (cos eps))) (* -1/362880 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))))>
#<alt (* (pow eps 8) (- (+ (* -1/181440 (/ (sin eps) (* eps (cos eps)))) (+ (* -1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 1/2520 (/ (sin eps) (* (pow eps 3) (cos eps)))) (/ 1/5040 (pow eps 2))))) (+ 1/362880 (+ (* -1 (/ (* (pow (sin eps) 2) (- (* -1/181440 (/ (sin eps) (cos eps))) (* -1/362880 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2)))) (+ (* -1/362880 (/ (sin eps) (* eps (cos eps)))) (+ (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 1/362880 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (/ (* (sin eps) (- (* -1/181440 (/ (sin eps) (cos eps))) (* -1/362880 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))) (/ (* (sin eps) (- (+ 1/5040 (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (- (* -1/181440 (/ (sin eps) (cos eps))) (* -1/362880 (/ (sin eps) (cos eps))))) (cos eps))))) (* (pow eps 3) (cos eps)))))))))))>
#<alt (* -1/362880 (pow eps 8))>
#<alt (* (pow eps 8) (- (* -1/181440 (/ (sin eps) (* eps (cos eps)))) (+ 1/362880 (* -1/362880 (/ (sin eps) (* eps (cos eps)))))))>
#<alt (* (pow eps 8) (- (* -1 (/ (- (+ (* -1 (- (* -1/181440 (/ (sin eps) (cos eps))) (* -1/362880 (/ (sin eps) (cos eps))))) (* -1 (/ (+ 1/5040 (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) (+ (* -1 (/ (* (sin eps) (- (* -1/181440 (/ (sin eps) (cos eps))) (* -1/362880 (/ (sin eps) (cos eps))))) (* eps (cos eps)))) (* -1/362880 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))))) eps)) 1/362880))>
#<alt (* (pow eps 8) (- (* -1 (/ (+ (* -1 (- (* -1/181440 (/ (sin eps) (cos eps))) (* -1/362880 (/ (sin eps) (cos eps))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ 1/5040 (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -1 (/ (* (sin eps) (- (* -1/181440 (/ (sin eps) (cos eps))) (* -1/362880 (/ (sin eps) (cos eps))))) (cos eps))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* 1/2520 (/ (sin eps) (* eps (cos eps))))) (+ (* -1 (/ (* (sin eps) (- (* -1 (+ 1/5040 (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -1 (/ (* (sin eps) (- (* -1/181440 (/ (sin eps) (cos eps))) (* -1/362880 (/ (sin eps) (cos eps))))) (cos eps))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* eps (cos eps)))) (+ (* -1 (/ (* (pow (sin eps) 2) (- (* -1/181440 (/ (sin eps) (cos eps))) (* -1/362880 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) (* 1/362880 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))))) eps))) eps)) 1/362880))>
#<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 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps))))) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))>
#<alt (* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (sin eps) (* eps (cos eps)))))) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (+ (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps)))) eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (+ (* -2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) eps)) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))) eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (+ (* -2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2)))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) eps)) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))) eps)) 1)))>
#<alt (* -4/3 (pow eps 5))>
#<alt (* (pow eps 5) (- (* -44/45 (pow eps 2)) 4/3))>
#<alt (* (pow eps 5) (- (* (pow eps 2) (- (* -115/189 (pow eps 2)) 44/45)) 4/3))>
#<alt (* (pow eps 5) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -4918/14175 (pow eps 2)) 115/189)) 44/45)) 4/3))>
#<alt (pow eps 3)>
#<alt (* (pow eps 3) (+ 1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (* (pow eps 3) (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps))))))>
#<alt (* (pow eps 3) (- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (sin eps) (* eps (cos eps))))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))>
#<alt (pow eps 3)>
#<alt (* -1 (* (pow eps 3) (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))>
#<alt (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)) 1)))>
#<alt (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps)) 1)))>
#<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 (* -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 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* (pow eps 4) (- (* 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 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- 27/112000 (* 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 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 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 (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<alt (* 1/6 eps)>
#<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 (* -1/3 (pow eps 2))>
#<alt (* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (* 1/6 eps)>
#<alt (* eps (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* eps (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* eps (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt (* -1/362880 (pow eps 7))>
#<alt (* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* (pow eps 7) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* -1/362880 (pow eps 7))>
#<alt (* -1 (* (pow eps 7) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))>

Calls

81 calls:

Time	Variable		Point	Expression
7.0ms	eps	@	0	(/ (- eps (sin eps)) (* eps (- 1 (/ (/ (sin eps) eps) (cos eps)))))
6.0ms	eps	@	-inf	(/ (* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))) (/ (- (* (* eps eps) (+ eps (tan eps))) (* (+ eps (tan eps)) (pow (tan eps) 2))) (* (+ eps (tan eps)) (+ eps (tan eps)))))
6.0ms	eps	@	inf	(/ (* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))) (/ (- (* (* eps eps) (+ eps (tan eps))) (* (+ eps (tan eps)) (pow (tan eps) 2))) (* (+ eps (tan eps)) (+ eps (tan eps)))))
4.0ms	eps	@	inf	(/ (- (* (* eps eps) (+ eps (tan eps))) (* (+ eps (tan eps)) (pow (tan eps) 2))) (* (+ eps (tan eps)) (+ eps (tan eps))))
3.0ms	eps	@	-inf	(- (* (* eps eps) (+ eps (tan eps))) (* (+ eps (tan eps)) (pow (tan eps) 2)))

rewrite1.6s (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4048×	`-lowering-.f32`
4048×	`-lowering-.f64`
2250×	`pow-lowering-pow.f64`
2250×	`pow-lowering-pow.f32`
2242×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	367
1	426	308
2	4061	308
0	8690	308

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 507

Calls

Call 1

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

Outputs
(+.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) (+.f64 (.f64 (.f64 eps eps) (.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 eps) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))) (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 9/40 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 (.f64 eps eps) (.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 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 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))))
(-.f64 (/.f64 (.f64 (.f64 eps (.f64 eps (.f64 eps eps))) #s(literal 81/1600 binary64)) (-.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) (+.f64 (.f64 (.f64 eps eps) (.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 (.f64 (.f64 eps eps) (.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 eps) (.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 eps (.f64 eps #s(literal 9/40 binary64))) (+.f64 (.f64 (.f64 eps eps) (.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 (.f64 eps eps) (.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 eps eps) #s(literal 9/40 binary64) (+.f64 (.f64 (.f64 eps eps) (.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 #s(literal 9/40 binary64) (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 eps (*.f64 eps #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64)))
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(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 eps (.f64 eps #s(literal -1/362880 binary64)))))) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 eps (.f64 eps #s(literal -1/362880 binary64))))))) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 eps (.f64 eps #s(literal -1/362880 binary64))))))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))))) eps) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 eps (.f64 eps #s(literal -1/362880 binary64))))))) (-.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 eps (.f64 eps #s(literal -1/362880 binary64))))))) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 eps eps) (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 eps (.f64 eps #s(literal -1/362880 binary64)))))) (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 eps (.f64 eps #s(literal -1/362880 binary64)))))))))) 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 eps (.f64 eps #s(literal -1/362880 binary64)))))))))
(pow.f64 (/.f64 (+.f64 (.f64 (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 eps (.f64 eps #s(literal -1/362880 binary64)))))))) (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 eps (.f64 eps #s(literal -1/362880 binary64))))))))) (.f64 (.f64 eps #s(literal 1/6 binary64)) (-.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 eps (.f64 eps #s(literal -1/362880 binary64))))))))))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 eps (.f64 eps #s(literal -1/362880 binary64)))))) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 eps (.f64 eps #s(literal -1/362880 binary64))))))) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 eps (.f64 eps #s(literal -1/362880 binary64))))))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))))) (.f64 (.f64 eps (*.f64 eps eps)) #s(literal 1/216 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 eps (.f64 eps #s(literal -1/362880 binary64)))))))) (.f64 #s(literal -1/6 binary64) eps)) (.f64 (.f64 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 eps (.f64 eps #s(literal -1/362880 binary64))))))))) (+.f64 (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 eps (.f64 eps #s(literal -1/362880 binary64)))))))) (.f64 #s(literal -1/6 binary64) eps)))) #s(literal -1 binary64))
(.f64 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 eps (*.f64 eps #s(literal -1/362880 binary64)))))))))
(.f64 (+.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 eps (*.f64 eps #s(literal -1/362880 binary64)))))))) eps)
(.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 (.f64 (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 eps (.f64 eps #s(literal -1/362880 binary64)))))) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 eps (.f64 eps #s(literal -1/362880 binary64))))))) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 eps (.f64 eps #s(literal -1/362880 binary64))))))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))))) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 eps (.f64 eps #s(literal -1/362880 binary64)))))))) (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 eps (.f64 eps #s(literal -1/362880 binary64))))))))) (.f64 (.f64 eps #s(literal 1/6 binary64)) (-.f64 (.f64 eps #s(literal 1/6 binary64)) (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 eps (.f64 eps #s(literal -1/362880 binary64)))))))))))))
(.f64 (.f64 (.f64 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 eps (.f64 eps #s(literal -1/362880 binary64))))))))) (+.f64 (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 eps (.f64 eps #s(literal -1/362880 binary64)))))))) (.f64 #s(literal -1/6 binary64) eps))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 eps (.f64 eps #s(literal -1/362880 binary64)))))))) (*.f64 #s(literal -1/6 binary64) eps))))

simplify780.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

3968×	`-lowering-.f32`
3968×	`-lowering-.f64`
2376×	`+-lowering-+.f64`
2376×	`+-lowering-+.f32`
1744×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	478	4316
1	1626	4036
2	6138	4017
0	8026	4017

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

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))
(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
(- (* -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)
(- (* (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 (+ (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ 1/5040 (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps))))) 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 eps)
(* eps (+ 1/6 (* -1/120 (pow eps 2))))
(* eps (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* eps (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -1/362880 (pow eps 7))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 7) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 7))
(* -1 (* (pow eps 7) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
-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)))
(* 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
(+ 1 (* -1 (/ (sin eps) eps)))
(+ 1 (* -1 (/ (sin eps) eps)))
(+ 1 (* -1 (/ (sin eps) eps)))
1
(+ 1 (* -1 (/ (sin eps) eps)))
(+ 1 (* -1 (/ (sin eps) eps)))
(+ 1 (* -1 (/ (sin eps) eps)))
1
(+ 1 (* -1/6 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))
(/ (sin eps) eps)
(/ (sin eps) eps)
(/ (sin eps) eps)
(/ (sin eps) eps)
(/ (sin eps) eps)
(/ (sin eps) eps)
(/ (sin eps) eps)
(/ (sin eps) 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) (/ (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)))
-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) (- (* -1/181440 (/ (sin eps) (* eps (cos eps)))) (+ 1/362880 (* -1/362880 (/ (sin eps) (* eps (cos eps)))))))
(* (pow eps 8) (- (+ (* -1/181440 (/ (sin eps) (* eps (cos eps)))) (+ (* -1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ 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)))) (/ (* (sin eps) (- (* -1/181440 (/ (sin eps) (cos eps))) (* -1/362880 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))))
(* (pow eps 8) (- (+ (* -1/181440 (/ (sin eps) (* eps (cos eps)))) (+ (* -1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 1/2520 (/ (sin eps) (* (pow eps 3) (cos eps)))) (/ 1/5040 (pow eps 2))))) (+ 1/362880 (+ (* -1 (/ (* (pow (sin eps) 2) (- (* -1/181440 (/ (sin eps) (cos eps))) (* -1/362880 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2)))) (+ (* -1/362880 (/ (sin eps) (* eps (cos eps)))) (+ (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 1/362880 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (/ (* (sin eps) (- (* -1/181440 (/ (sin eps) (cos eps))) (* -1/362880 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))) (/ (* (sin eps) (- (+ 1/5040 (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (- (* -1/181440 (/ (sin eps) (cos eps))) (* -1/362880 (/ (sin eps) (cos eps))))) (cos eps))))) (* (pow eps 3) (cos eps)))))))))))
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* -1/181440 (/ (sin eps) (* eps (cos eps)))) (+ 1/362880 (* -1/362880 (/ (sin eps) (* eps (cos eps)))))))
(* (pow eps 8) (- (* -1 (/ (- (+ (* -1 (- (* -1/181440 (/ (sin eps) (cos eps))) (* -1/362880 (/ (sin eps) (cos eps))))) (* -1 (/ (+ 1/5040 (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) (+ (* -1 (/ (* (sin eps) (- (* -1/181440 (/ (sin eps) (cos eps))) (* -1/362880 (/ (sin eps) (cos eps))))) (* eps (cos eps)))) (* -1/362880 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))))) eps)) 1/362880))
(* (pow eps 8) (- (* -1 (/ (+ (* -1 (- (* -1/181440 (/ (sin eps) (cos eps))) (* -1/362880 (/ (sin eps) (cos eps))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ 1/5040 (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -1 (/ (* (sin eps) (- (* -1/181440 (/ (sin eps) (cos eps))) (* -1/362880 (/ (sin eps) (cos eps))))) (cos eps))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* 1/2520 (/ (sin eps) (* eps (cos eps))))) (+ (* -1 (/ (* (sin eps) (- (* -1 (+ 1/5040 (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -1 (/ (* (sin eps) (- (* -1/181440 (/ (sin eps) (cos eps))) (* -1/362880 (/ (sin eps) (cos eps))))) (cos eps))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* eps (cos eps)))) (+ (* -1 (/ (* (pow (sin eps) 2) (- (* -1/181440 (/ (sin eps) (cos eps))) (* -1/362880 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) (* 1/362880 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))))) eps))) eps)) 1/362880))
(* -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 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) (* eps (cos eps))))))
(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps))))) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))
(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (sin eps) (* eps (cos eps)))))) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (+ (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))))
eps
(* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps)))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (+ (* -2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) eps)) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (+ (* -2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2)))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) eps)) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))) eps)) 1)))
(* -4/3 (pow eps 5))
(* (pow eps 5) (- (* -44/45 (pow eps 2)) 4/3))
(* (pow eps 5) (- (* (pow eps 2) (- (* -115/189 (pow eps 2)) 44/45)) 4/3))
(* (pow eps 5) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -4918/14175 (pow eps 2)) 115/189)) 44/45)) 4/3))
(pow eps 3)
(* (pow eps 3) (+ 1 (/ (sin eps) (* eps (cos eps)))))
(* (pow eps 3) (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 3) (- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (sin eps) (* eps (cos eps))))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))
(pow eps 3)
(* -1 (* (pow eps 3) (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)) 1)))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps)) 1)))
(* 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)))))))
(* -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 (pow eps 4))
(* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800))
(* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800))
(* (pow eps 4) (- (* 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 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- 27/112000 (* 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 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 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)))
(* 1/6 eps)
(* 1/6 eps)
(* 1/6 eps)
(* 1/6 eps)
(* 1/6 eps)
(* 1/6 eps)
(* 1/6 eps)
(* 1/6 eps)
(* 1/6 eps)
(* 1/6 eps)
(* 1/6 eps)
(* 1/6 eps)
(* -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))
(* -1/3 (pow eps 2))
(* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 2) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
1
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
1
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
(* 1/6 eps)
(* eps (+ 1/6 (* -1/120 (pow eps 2))))
(* eps (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* eps (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -1/362880 (pow eps 7))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 7) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 7))
(* -1 (* (pow eps 7) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))

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 (.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 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 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 9/40 binary64) (pow.f64 eps #s(literal 4 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))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64)))) (-.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 9/40 binary64) (pow.f64 eps #s(literal 4 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))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64)))) (-.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))
(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)
(- (* -27/2800 (pow eps 4)) 1/2)
(+.f64 (*.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal -1/2 binary64))
(- (* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800)) 1/2)
(+.f64 (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (*.f64 eps #s(literal 27/112000 binary64)))) (pow.f64 eps #s(literal 4 binary64))) #s(literal -1/2 binary64))
(- (* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800)) 1/2)
(+.f64 (.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (*.f64 eps #s(literal 27/112000 binary64)))) (pow.f64 eps #s(literal 4 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 (* -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) (pow.f64 eps #s(literal 4 binary64)))) (.f64 eps eps))))
(* (pow eps 6) (+ 27/112000 (* -1 (/ (+ 27/2800 (* 1/2 (/ 1 (pow eps 4)))) (pow eps 2)))))
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(* -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))
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(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
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eps
(* eps (- (+ 1 (/ (sin eps) (* eps (cos eps)))) (* 2 (/ (sin eps) (* eps (cos eps))))))
(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps))))) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))
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(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (sin eps) (* eps (cos eps)))))) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (+ (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))))
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eps
(* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps)))) eps)) 1)))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))) (neg.f64 eps))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (+ (* -2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) eps)) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))) eps)) 1)))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 (.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) (sin.f64 eps)) (cos.f64 eps)) (sin.f64 eps)) (cos.f64 eps))) eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (neg.f64 eps))) (neg.f64 eps))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (+ (* -2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2)))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (* 2 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) eps)) (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))) eps)) 1)))
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(* -4/3 (pow eps 5))
(*.f64 #s(literal -4/3 binary64) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- (* -44/45 (pow eps 2)) 4/3))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal -4/3 binary64) (.f64 (*.f64 eps eps) #s(literal -44/45 binary64))))
(* (pow eps 5) (- (* (pow eps 2) (- (* -115/189 (pow eps 2)) 44/45)) 4/3))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal -4/3 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -44/45 binary64) (.f64 eps (*.f64 eps #s(literal -115/189 binary64)))))))
(* (pow eps 5) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -4918/14175 (pow eps 2)) 115/189)) 44/45)) 4/3))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 #s(literal -4/3 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -44/45 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -115/189 binary64) (.f64 (*.f64 eps eps) #s(literal -4918/14175 binary64)))))))))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(* (pow eps 3) (+ 1 (/ (sin eps) (* eps (cos eps)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
(* (pow eps 3) (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps))))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))
(* (pow eps 3) (- (+ 1 (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (sin eps) (* eps (cos eps))))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 (.f64 eps eps) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(* -1 (* (pow eps 3) (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 (cos.f64 eps)))) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps eps))))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)) 1)))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.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))))) (neg.f64 eps))) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (- (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) eps)) 1)))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))) eps)) (neg.f64 eps))) (.f64 #s(literal -1 binary64) (.f64 eps (*.f64 eps eps))))
(* 1/6 (pow eps 3))
(.f64 eps (.f64 (*.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 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)))))))
(* (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)))))))))
(* -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 1/5040 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* (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 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 4 binary64)))))))
(* -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)) (neg.f64 (+.f64 #s(literal 1/362880 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 (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 eps eps)))) (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 9 binary64))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
(.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 #s(literal 1/362880 binary64) (+.f64 (/.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 binary64) (pow.f64 eps #s(literal 9 binary64))))
(* -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 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))
(* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))
(.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))
(* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))
(.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))
(* 27/112000 (pow eps 4))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 4 binary64)))
(* (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))) (pow.f64 eps #s(literal 4 binary64)))
(* (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))) (pow.f64 eps #s(literal 4 binary64)))
(* (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))) (pow.f64 eps #s(literal 4 binary64)))
(* 27/112000 (pow eps 4))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 4 binary64)))
(* (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))) (pow.f64 eps #s(literal 4 binary64)))
(* (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))) (pow.f64 eps #s(literal 4 binary64)))
(* (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))) (pow.f64 eps #s(literal 4 binary64)))
(* 27/112000 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 27/112000 binary64)))
(* 27/112000 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 27/112000 binary64)))
(* 27/112000 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 27/112000 binary64)))
(* 27/112000 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 27/112000 binary64)))
(* 27/112000 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 27/112000 binary64)))
(* 27/112000 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 27/112000 binary64)))
(* 27/112000 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 27/112000 binary64)))
(* 27/112000 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 27/112000 binary64)))
(* 27/112000 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 27/112000 binary64)))
(* 27/112000 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 27/112000 binary64)))
(* 27/112000 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 27/112000 binary64)))
(* 27/112000 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 27/112000 binary64)))
(* -27/2800 (pow eps 4))
(*.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800))
(.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (*.f64 eps #s(literal 27/112000 binary64)))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800))
(.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (*.f64 eps #s(literal 27/112000 binary64)))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (* 27/112000 (pow eps 2)) 27/2800))
(.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 eps (*.f64 eps #s(literal 27/112000 binary64)))) (pow.f64 eps #s(literal 4 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 (* 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 (* 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))))
(* 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 (* 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 (* 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))))
(* -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 (.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 eps (*.f64 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 (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))) (neg.f64 eps))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))) (neg.f64 eps))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))) (neg.f64 eps))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* -1/362880 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
(* -1/362880 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
(* -1/362880 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
(* -1/362880 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
(* -1/362880 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
(* -1/362880 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
(* -1/362880 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
(* -1/362880 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
(* -1/362880 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
(* -1/362880 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
(* -1/362880 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
(* -1/362880 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/362880 binary64))
(* -1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/3 binary64))
(* (pow eps 2) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1/3 binary64) (.f64 (.f64 eps eps) #s(literal -2/15 binary64))))
(* (pow eps 2) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (.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 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.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 eps (.f64 eps #s(literal -62/2835 binary64)))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))
(+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* eps (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal -1/120 binary64))))
(* eps (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.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))))))
(* eps (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 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))))))))
(* -1/362880 (pow eps 7))
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(.f64 (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 7 binary64)))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(.f64 (+.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 4 binary64))))) (pow.f64 eps #s(literal 7 binary64)))
(* (pow eps 7) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps)) (-.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 4 binary64)))))) (pow.f64 eps #s(literal 7 binary64)))
(* -1/362880 (pow eps 7))
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(.f64 (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 eps eps))) (neg.f64 (pow.f64 eps #s(literal 7 binary64))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(-.f64 #s(literal 0 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 eps eps)))) (pow.f64 eps #s(literal 7 binary64))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
(-.f64 #s(literal 0 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 #s(literal 1/362880 binary64) (+.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps)) (/.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 6 binary64)))))) (pow.f64 eps #s(literal 7 binary64))))

eval381.0ms (1.2%)

Compiler: Compiled 44046 to 2579 computations (94.1% saved)

prune244.0ms (0.7%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	1114	2	1116
Fresh	0	0	0
Picked	0	5	5
Done	0	5	5
Total	1114	12	1126

Accuracy

100.0%

Counts

1126 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	0.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))))
✓	0.8%	(/.f64 (.f64 (.f64 eps eps) (+.f64 (.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 eps (.f64 eps eps))) (.f64 eps #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
▶	0.7%	(/.f64 (.f64 (.f64 eps eps) (.f64 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 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))))) (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 eps (tan.f64 eps)))))
▶	0.7%	(/.f64 (.f64 (.f64 eps eps) (.f64 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 (-.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))))))
✓	0.8%	(/.f64 (.f64 (.f64 eps eps) (.f64 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 (-.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (+.f64 eps (tan.f64 eps)) (+.f64 eps (tan.f64 eps)))))
✓	0.8%	(/.f64 (.f64 (.f64 eps eps) (.f64 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)))
✓	0.6%	(/.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) (-.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 eps (.f64 eps #s(literal 27/112000 binary64)))))))) #s(literal -1/2 binary64))
✓	99.9%	(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))) #s(literal -1/2 binary64)))
✓	99.9%	(+.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))
✓	99.8%	(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
✓	99.6%	#s(literal -1/2 binary64)

Compiler

Compiled 416 to 193 computations (53.6% saved)

simplify592.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	19584	(+.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))))
✓	cost-diff	32320	(/.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))))
✓	cost-diff	32704	(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))))) (*.f64 (+.f64 eps (tan.f64 eps)) (+.f64 eps (tan.f64 eps))))
✓	cost-diff	32704	(/.f64 (.f64 (.f64 eps eps) (.f64 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 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))))) (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 eps (tan.f64 eps)))))
✓	cost-diff	6400	(.f64 (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))))
✓	cost-diff	12608	(-.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 3 binary64)))
✓	cost-diff	19008	(/.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))))
✓	cost-diff	19008	(/.f64 (.f64 (.f64 eps eps) (.f64 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 (-.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))))))

Rules

5216×	`-lowering-.f32`
5216×	`-lowering-.f64`
1768×	`fma-lowering-fma.f32`
1768×	`fma-lowering-fma.f64`
1390×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	1011
1	169	926
2	946	865
3	6761	865
0	8402	865

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))) (/ (- (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (* (+ eps (tan eps)) (pow (tan eps) 2)) 3)) (* (pow (+ eps (tan eps)) 2) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (* (* (+ eps (tan eps)) (pow (tan eps) 2)) (* (+ eps (tan eps)) (+ (* eps eps) (pow (tan eps) 2))))))))
(* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))
(* eps eps)
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))))))
1/6
(* (* 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
(/ (- (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (* (+ eps (tan eps)) (pow (tan eps) 2)) 3)) (* (pow (+ eps (tan eps)) 2) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (* (* (+ eps (tan eps)) (pow (tan eps) 2)) (* (+ eps (tan eps)) (+ (* eps eps) (pow (tan eps) 2)))))))
(- (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (* (+ eps (tan eps)) (pow (tan eps) 2)) 3))
(pow (* (* eps eps) (+ eps (tan eps))) 3)
(* (* eps eps) (+ eps (tan eps)))
(+ eps (tan eps))
(tan eps)
3
(pow (* (+ eps (tan eps)) (pow (tan eps) 2)) 3)
(* (+ eps (tan eps)) (pow (tan eps) 2))
(pow (tan eps) 2)
2
(* (pow (+ eps (tan eps)) 2) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (* (* (+ eps (tan eps)) (pow (tan eps) 2)) (* (+ eps (tan eps)) (+ (* eps eps) (pow (tan eps) 2))))))
(pow (+ eps (tan eps)) 2)
(+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (* (* (+ eps (tan eps)) (pow (tan eps) 2)) (* (+ eps (tan eps)) (+ (* eps eps) (pow (tan eps) 2)))))
(pow (* (* eps eps) (+ eps (tan eps))) 2)
(* (* (+ eps (tan eps)) (pow (tan eps) 2)) (* (+ eps (tan eps)) (+ (* eps eps) (pow (tan eps) 2))))
(* (+ eps (tan eps)) (+ (* eps eps) (pow (tan eps) 2)))
(+ (* eps eps) (pow (tan eps) 2))
(/ (* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))) (/ (/ (+ (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 3)) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (- (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 2) (* (* (* eps eps) (+ eps (tan eps))) (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))))))) (* (+ eps (tan eps)) (+ eps (tan eps)))))
(* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))
(* eps eps)
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))))))
1/6
(* (* 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
(/ (/ (+ (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 3)) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (- (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 2) (* (* (* eps eps) (+ eps (tan eps))) (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))))))) (* (+ eps (tan eps)) (+ eps (tan eps))))
(/ (+ (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 3)) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (- (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 2) (* (* (* eps eps) (+ eps (tan eps))) (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2)))))))
(+ (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 3))
(pow (* (* eps eps) (+ eps (tan eps))) 3)
(* (* eps eps) (+ eps (tan eps)))
(+ eps (tan eps))
(tan eps)
3
(pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 3)
(- 0 (* (+ eps (tan eps)) (pow (tan eps) 2)))
0
(* (+ eps (tan eps)) (pow (tan eps) 2))
(pow (tan eps) 2)
2
(+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (- (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 2) (* (* (* eps eps) (+ eps (tan eps))) (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))))))
(pow (* (* eps eps) (+ eps (tan eps))) 2)
(- (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 2) (* (* (* eps eps) (+ eps (tan eps))) (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2)))))
(pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 2)
(* (* (* eps eps) (+ eps (tan eps))) (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))))
(* (+ eps (tan eps)) (+ eps (tan eps)))

Outputs
(/ (* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))) (/ (- (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (* (+ eps (tan eps)) (pow (tan eps) 2)) 3)) (* (pow (+ eps (tan eps)) 2) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (* (* (+ eps (tan eps)) (pow (tan eps) 2)) (* (+ eps (tan eps)) (+ (* eps eps) (pow (tan eps) 2))))))))
(/.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 (.f64 (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)) (-.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))) (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))) (.f64 (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 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64))))))))
(* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))
(.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)
(*.f64 eps eps)
eps
(* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))
(.f64 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))))))))
(+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))
(+.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)))))))
1/6
#s(literal 1/6 binary64)
(* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))
(.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))))))
(+ -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)
(/ (- (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (* (+ eps (tan eps)) (pow (tan eps) 2)) 3)) (* (pow (+ eps (tan eps)) 2) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (* (* (+ eps (tan eps)) (pow (tan eps) 2)) (* (+ eps (tan eps)) (+ (* eps eps) (pow (tan eps) 2)))))))
(/.f64 (.f64 (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)) (-.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))) (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))) (.f64 (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 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))))))
(- (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (* (+ eps (tan eps)) (pow (tan eps) 2)) 3))
(.f64 (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)) (-.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))))
(pow (* (* eps eps) (+ eps (tan eps))) 3)
(pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64))
(* (* eps eps) (+ eps (tan eps)))
(.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps)))
(+ eps (tan eps))
(+.f64 eps (tan.f64 eps))
(tan eps)
(tan.f64 eps)
3
#s(literal 3 binary64)
(pow (* (+ eps (tan eps)) (pow (tan eps) 2)) 3)
(*.f64 (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))
(* (+ eps (tan eps)) (pow (tan eps) 2))
(*.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(pow (tan eps) 2)
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* (pow (+ eps (tan eps)) 2) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (* (* (+ eps (tan eps)) (pow (tan eps) 2)) (* (+ eps (tan eps)) (+ (* eps eps) (pow (tan eps) 2))))))
(.f64 (+.f64 eps (tan.f64 eps)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))) (.f64 (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 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64))))))
(pow (+ eps (tan eps)) 2)
(pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64))
(+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (* (* (+ eps (tan eps)) (pow (tan eps) 2)) (* (+ eps (tan eps)) (+ (* eps eps) (pow (tan eps) 2)))))
(.f64 (+.f64 eps (tan.f64 eps)) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (+.f64 eps (tan.f64 eps)))) (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps))))))
(pow (* (* eps eps) (+ eps (tan eps))) 2)
(pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64))
(* (* (+ eps (tan eps)) (pow (tan eps) 2)) (* (+ eps (tan eps)) (+ (* eps eps) (pow (tan eps) 2))))
(.f64 (+.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))
(* (+ eps (tan eps)) (+ (* eps eps) (pow (tan eps) 2)))
(.f64 (+.f64 eps (tan.f64 eps)) (+.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(+ (* eps eps) (pow (tan eps) 2))
(+.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(/ (* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))) (/ (/ (+ (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 3)) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (- (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 2) (* (* (* eps eps) (+ eps (tan eps))) (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))))))) (* (+ eps (tan eps)) (+ eps (tan eps)))))
(/.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 (.f64 (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)) (-.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))) (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))) (.f64 (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 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64))))))))
(* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))))
(.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)
(*.f64 eps eps)
eps
(* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))
(.f64 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))))))))
(+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))
(+.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)))))))
1/6
#s(literal 1/6 binary64)
(* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))
(.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))))))
(+ -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)
(/ (/ (+ (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 3)) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (- (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 2) (* (* (* eps eps) (+ eps (tan eps))) (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))))))) (* (+ eps (tan eps)) (+ eps (tan eps))))
(/.f64 (.f64 (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)) (-.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))) (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))) (.f64 (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 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)))))))
(/ (+ (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 3)) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (- (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 2) (* (* (* eps eps) (+ eps (tan eps))) (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2)))))))
(/.f64 (.f64 (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)) (-.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))) (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (+.f64 eps (tan.f64 eps)))) (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)))))))
(+ (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 3))
(.f64 (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)) (-.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))))
(pow (* (* eps eps) (+ eps (tan eps))) 3)
(pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64))
(* (* eps eps) (+ eps (tan eps)))
(.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps)))
(+ eps (tan eps))
(+.f64 eps (tan.f64 eps))
(tan eps)
(tan.f64 eps)
3
#s(literal 3 binary64)
(pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 3)
(*.f64 (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))))
(- 0 (* (+ eps (tan eps)) (pow (tan eps) 2)))
(*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 eps (tan.f64 eps))))
0
#s(literal 0 binary64)
(* (+ eps (tan eps)) (pow (tan eps) 2))
(*.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(pow (tan eps) 2)
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (- (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 2) (* (* (* eps eps) (+ eps (tan eps))) (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))))))
(.f64 (+.f64 eps (tan.f64 eps)) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (+.f64 eps (tan.f64 eps)))) (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 4 binary64)) (.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps))))))
(pow (* (* eps eps) (+ eps (tan eps))) 2)
(pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64))
(- (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 2) (* (* (* eps eps) (+ eps (tan eps))) (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2)))))
(.f64 (+.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))
(pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 2)
(*.f64 (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64)))
(* (* (* eps eps) (+ eps (tan eps))) (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))))
(.f64 (.f64 (*.f64 eps eps) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(* (+ eps (tan eps)) (+ eps (tan eps)))
(pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64))

localize1.9s (5.8%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	95.4%	(+.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal 3 binary64)))
✓	accuracy	38.7%	(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))))) (*.f64 (+.f64 eps (tan.f64 eps)) (+.f64 eps (tan.f64 eps))))
✓	accuracy	32.8%	(/.f64 (.f64 (.f64 eps eps) (.f64 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 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))))) (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 eps (tan.f64 eps)))))
✓	accuracy	7.3%	(/.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))))
✓	accuracy	99.5%	(.f64 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	95.4%	(-.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 3 binary64)))
✓	accuracy	32.8%	(/.f64 (.f64 (.f64 eps eps) (.f64 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 (-.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))))))
✓	accuracy	6.9%	(/.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))))

Results

910.0ms	146×	2	valid
332.0ms	75×	1	valid
233.0ms	34×	3	valid
1.0ms	1×	0	valid

Compiler

Compiled 1090 to 46 computations (95.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 912.0ms

ival-mult: 207.0ms (22.7% of total)

ival-tan: 190.0ms (20.8% of total)

ival-pow: 177.0ms (19.4% of total)

backward-pass: 132.0ms (14.5% of total)

ival-add: 73.0ms (8% of total)

ival-div: 54.0ms (5.9% of total)

...c/correct-round.rkt:119:19: 52.0ms (5.7% of total)

ival-sub: 25.0ms (2.7% of total)

const: 3.0ms (0.3% of total)

series115.0ms (0.4%)

Counts

10 → 120

Calls

Call 1

Inputs
#<alt (/ (* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))) (/ (- (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (* (+ eps (tan eps)) (pow (tan eps) 2)) 3)) (* (pow (+ eps (tan eps)) 2) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (* (* (+ eps (tan eps)) (pow (tan eps) 2)) (* (+ eps (tan eps)) (+ (* eps eps) (pow (tan eps) 2))))))))>
#<alt (/ (- (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (* (+ eps (tan eps)) (pow (tan eps) 2)) 3)) (* (pow (+ eps (tan eps)) 2) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (* (* (+ eps (tan eps)) (pow (tan eps) 2)) (* (+ eps (tan eps)) (+ (* eps eps) (pow (tan eps) 2)))))))>
#<alt (- (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (* (+ eps (tan eps)) (pow (tan eps) 2)) 3))>
#<alt (* (pow (+ eps (tan eps)) 2) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (* (* (+ eps (tan eps)) (pow (tan eps) 2)) (* (+ eps (tan eps)) (+ (* eps eps) (pow (tan eps) 2))))))>
#<alt (/ (* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))) (/ (/ (+ (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 3)) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (- (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 2) (* (* (* eps eps) (+ eps (tan eps))) (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))))))) (* (+ eps (tan eps)) (+ eps (tan eps)))))>
#<alt (/ (/ (+ (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 3)) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (- (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 2) (* (* (* eps eps) (+ eps (tan eps))) (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))))))) (* (+ eps (tan eps)) (+ eps (tan eps))))>
#<alt (/ (+ (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 3)) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (- (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 2) (* (* (* eps eps) (+ eps (tan eps))) (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2)))))))>
#<alt (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (- (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 2) (* (* (* eps eps) (+ eps (tan eps))) (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))))))>
#<alt (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))>
#<alt (+ (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 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 (* -1/362880 (pow eps 8))>
#<alt (* (pow eps 8) (- (* -1/90720 (/ (sin eps) (* eps (cos eps)))) (+ 1/362880 (* -1/362880 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))))>
#<alt (* (pow eps 8) (- (+ (* -1/90720 (/ (sin eps) (* eps (cos eps)))) (+ (* -1/90720 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1/181440 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ 1/5040 (pow eps 2)))))) (+ 1/362880 (+ (* -1/362880 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)) (+ (* -1/362880 (/ (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2))) (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 2)))))))>
#<alt (* (pow eps 8) (- (+ (* -1/90720 (/ (sin eps) (* eps (cos eps)))) (+ (* -1/90720 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1/90720 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1/181440 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 1/2520 (/ (sin eps) (* (pow eps 3) (cos eps)))) (+ (* 2 (/ (* (sin eps) (+ 1/5040 (* -1/181440 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (/ 1/5040 (pow eps 2))))))))) (+ 1/362880 (+ (* -1/362880 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)) (+ (* -1/362880 (/ (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2))) (+ (* -1/362880 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 2)) (+ (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ 1/5040 (+ (* -1/90720 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1/181440 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (+ (* -1/362880 (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))))) (pow eps 3)) (/ (* (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 3))))))))))>
#<alt (* -1/362880 (pow eps 8))>
#<alt (* (pow eps 8) (- (* -1/90720 (/ (sin eps) (* eps (cos eps)))) (+ 1/362880 (* -1/362880 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))))>
#<alt (* (pow eps 8) (- (* -1 (/ (- (+ (* -1 (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* -1 (/ (+ 1/5040 (+ (* -1/90720 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1/181440 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) eps))) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) eps)) (* -1/362880 (/ (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)))) eps)) 1/362880))>
#<alt (* (pow eps 8) (- (* -1 (/ (+ (* -1 (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ 1/5040 (+ (* -1/90720 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1/181440 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))) (* -1/362880 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ 1/5040 (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (+ (* -1/2520 (/ (sin eps) (cos eps))) (+ (* 1/181440 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* 1/90720 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) eps))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) eps)) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ 1/5040 (+ (* -1/90720 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1/181440 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))) (* -1/362880 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) eps)) (* -1/362880 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))))) eps))) eps)) 1/362880))>
#<alt (* -1/3 (pow eps 3))>
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#<alt eps>
#<alt (* eps (- (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) (* eps (cos eps))))) (* 4 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (- (+ 1 (+ (* -1 (/ (+ (* 4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) (* eps (cos eps)))))) (* 4 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (- (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))) (+ (* -4 (/ (* (sin eps) (+ (* 4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ (* 4 (/ (sin eps) (* eps (cos eps)))) (+ (* 4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (+ (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 8 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (* (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (pow eps 3)))))))))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps)))) eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) eps)) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* 4 (/ (sin eps) (cos eps)))) eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (- (/ (pow (sin eps) 3) (pow (cos eps) 3)) (+ (* -4 (/ (* (sin eps) (- (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (cos eps))) (+ (* 8 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps)))))))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) eps)) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* 4 (/ (sin eps) (cos eps)))) eps)) 1)))>
#<alt (* -16 (pow eps 11))>
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#<alt (pow eps 9)>
#<alt (* (pow eps 9) (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) (* eps (cos eps))))))>
#<alt (* (pow eps 9) (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))>
#<alt (* (pow eps 9) (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (+ (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))))))>
#<alt (pow eps 9)>
#<alt (* -1 (* (pow eps 9) (- (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)) 1)))>
#<alt (* -1 (* (pow eps 9) (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) eps)) 1)))>
#<alt (* -1 (* (pow eps 9) (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))))) eps)) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) eps)) 1)))>
#<alt (* 48 (pow eps 8))>
#<alt (* (pow eps 8) (+ 48 (* 64 (pow eps 2))))>
#<alt (* (pow eps 8) (+ 48 (* (pow eps 2) (+ 64 (* 3032/45 (pow eps 2))))))>
#<alt (* (pow eps 8) (+ 48 (* (pow eps 2) (+ 64 (* (pow eps 2) (+ 3032/45 (* 19112/315 (pow eps 2))))))))>
#<alt (pow eps 8)>
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#<alt (* (pow eps 8) (+ 1 (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 4 (/ (sin eps) (* eps (cos eps)))) (+ (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))>
#<alt (* (pow eps 8) (+ 1 (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 4 (/ (sin eps) (* eps (cos eps)))) (+ (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 8 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))))>
#<alt (pow eps 8)>
#<alt (* (pow eps 8) (+ 1 (* 4 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* (pow eps 8) (+ 1 (* -1 (/ (+ (* -4 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) eps))))>
#<alt (* (pow eps 8) (+ 1 (* -1 (/ (+ (* -4 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 8 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) eps))) eps))))>
#<alt -1/2>
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#<alt (* -1/362880 (pow eps 8))>
#<alt (* (pow eps 8) (- (* -1/90720 (/ (sin eps) (* eps (cos eps)))) (+ 1/362880 (* -1/362880 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))))>
#<alt (* (pow eps 8) (- (+ (* -1/90720 (/ (sin eps) (* eps (cos eps)))) (+ (* -1/90720 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1/362880 (/ (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (+ (* -1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ 1/5040 (pow eps 2)))))) (+ 1/362880 (+ (* -1/362880 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)) (+ (* -1/362880 (/ (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2))) (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 2)))))))>
#<alt (* (pow eps 8) (- (+ (* -1/90720 (/ (sin eps) (* eps (cos eps)))) (+ (* -1/90720 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1/90720 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1/362880 (/ (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (+ (* -1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 1/2520 (/ (sin eps) (* (pow eps 3) (cos eps)))) (+ (* 2 (/ (* (sin eps) (+ 1/5040 (* -1/362880 (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (* (pow eps 3) (cos eps)))) (/ 1/5040 (pow eps 2))))))))) (+ 1/362880 (+ (* -1/362880 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)) (+ (* -1/362880 (/ (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2))) (+ (* -1/362880 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 2)) (+ (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ 1/5040 (+ (* -1/90720 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1/362880 (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (+ (* -1/362880 (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))))) (pow eps 3)) (/ (* (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 3))))))))))>
#<alt (* -1/362880 (pow eps 8))>
#<alt (* (pow eps 8) (- (* -1/90720 (/ (sin eps) (* eps (cos eps)))) (+ 1/362880 (* -1/362880 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))))>
#<alt (* (pow eps 8) (- (* -1 (/ (- (+ (* -1 (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* -1 (/ (+ 1/5040 (+ (* -1/90720 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1/362880 (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) eps))) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) eps)) (* -1/362880 (/ (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)))) eps)) 1/362880))>
#<alt (* (pow eps 8) (- (* -1 (/ (+ (* -1 (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ 1/5040 (+ (* -1/90720 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1/362880 (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))) (* -1/362880 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ 1/5040 (* -1/362880 (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (cos eps))) (+ (* -1/2520 (/ (sin eps) (cos eps))) (* 1/90720 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) eps))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) eps)) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ 1/5040 (+ (* -1/90720 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1/362880 (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))) (* -1/362880 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) eps)) (* -1/362880 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))))) eps))) eps)) 1/362880))>
#<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 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) (* eps (cos eps))))) (* 4 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))) (+ (* 4 (/ (sin eps) (* eps (cos eps)))) (+ (* 4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))>
#<alt (* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (+ (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))))) (+ (* 2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ (* 4 (/ (sin eps) (* eps (cos eps)))) (+ (* 4 (/ (* (sin eps) (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* (pow eps 3) (cos eps)))) (+ (* 4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (+ (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 4 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (* (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps)))) (- (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow eps 3))))))))))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps)))) eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (- (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) eps)) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* 4 (/ (sin eps) (cos eps)))) eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (- (/ (pow (sin eps) 3) (pow (cos eps) 3)) (+ (* -4 (/ (* (sin eps) (- (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (- (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (cos eps))) (+ (* -1 (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps)))) (- (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (- (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) eps)) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* 4 (/ (sin eps) (cos eps)))) eps)) 1)))>
#<alt (* -4/3 (pow eps 5))>
#<alt (* (pow eps 5) (- (* -44/45 (pow eps 2)) 4/3))>
#<alt (* (pow eps 5) (- (* (pow eps 2) (- (* -115/189 (pow eps 2)) 44/45)) 4/3))>
#<alt (* (pow eps 5) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -4918/14175 (pow eps 2)) 115/189)) 44/45)) 4/3))>
#<alt (pow eps 3)>
#<alt (* (pow eps 3) (+ 1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (* (pow eps 3) (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps))))))>
#<alt (* (pow eps 3) (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))) (+ (* -2 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* 2 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (* (sin eps) (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))))))>
#<alt (pow eps 3)>
#<alt (* -1 (* (pow eps 3) (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))>
#<alt (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) eps)) (/ (sin eps) (cos eps))) eps)) 1)))>
#<alt (* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (pow (sin eps) 3) (pow (cos eps) 3)) (+ (* -2 (/ (* (sin eps) (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (cos eps))) (+ (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (/ (* (sin eps) (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) eps)) (/ (sin eps) (cos eps))) eps)) 1)))>
#<alt (* 12 (pow eps 6))>
#<alt (* (pow eps 6) (+ 12 (* 12 (pow eps 2))))>
#<alt (* (pow eps 6) (+ 12 (* (pow eps 2) (+ 12 (* 491/45 (pow eps 2))))))>
#<alt (* (pow eps 6) (+ 12 (* (pow eps 2) (+ 12 (* (pow eps 2) (+ 491/45 (* 8206/945 (pow eps 2))))))))>
#<alt (pow eps 6)>
#<alt (* (pow eps 6) (+ 1 (* 2 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* (pow eps 6) (- (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt (* (pow eps 6) (- (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt (pow eps 6)>
#<alt (* (pow eps 6) (+ 1 (* 2 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* (pow eps 6) (+ 1 (* -1 (/ (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (/ (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) eps))))>
#<alt (* (pow eps 6) (+ 1 (* -1 (/ (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (/ (- (+ (* 2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) eps))))>
#<alt (* 1/6 eps)>
#<alt (* eps (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* eps (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* eps (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt (* -1/362880 (pow eps 7))>
#<alt (* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* (pow eps 7) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* -1/362880 (pow eps 7))>
#<alt (* -1 (* (pow eps 7) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))>
#<alt (* -16 (pow eps 11))>
#<alt (* (pow eps 11) (- (* -416/15 (pow eps 2)) 16))>
#<alt (* (pow eps 11) (- (* (pow eps 2) (- (* -31736/945 (pow eps 2)) 416/15)) 16))>
#<alt (* (pow eps 11) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -53096/1575 (pow eps 2)) 31736/945)) 416/15)) 16))>
#<alt (pow eps 9)>
#<alt (* (pow eps 9) (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) (* eps (cos eps))))))>
#<alt (* (pow eps 9) (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))>
#<alt (* (pow eps 9) (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (+ (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))))))>
#<alt (pow eps 9)>
#<alt (* -1 (* (pow eps 9) (- (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)) 1)))>
#<alt (* -1 (* (pow eps 9) (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) eps)) 1)))>
#<alt (* -1 (* (pow eps 9) (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))))) eps)) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) eps)) 1)))>

Calls

30 calls:

Time	Variable		Point	Expression
17.0ms	eps	@	inf	(/ (- (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (* (+ eps (tan eps)) (pow (tan eps) 2)) 3)) (* (pow (+ eps (tan eps)) 2) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (* (* (+ eps (tan eps)) (pow (tan eps) 2)) (* (+ eps (tan eps)) (+ (* eps eps) (pow (tan eps) 2)))))))
12.0ms	eps	@	inf	(/ (* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))) (/ (- (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (* (+ eps (tan eps)) (pow (tan eps) 2)) 3)) (* (pow (+ eps (tan eps)) 2) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (* (* (+ eps (tan eps)) (pow (tan eps) 2)) (* (+ eps (tan eps)) (+ (* eps eps) (pow (tan eps) 2))))))))
10.0ms	eps	@	-inf	(/ (* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))) (/ (- (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (* (+ eps (tan eps)) (pow (tan eps) 2)) 3)) (* (pow (+ eps (tan eps)) 2) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (* (* (+ eps (tan eps)) (pow (tan eps) 2)) (* (+ eps (tan eps)) (+ (* eps eps) (pow (tan eps) 2))))))))
9.0ms	eps	@	-inf	(+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (- (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 2) (* (* (* eps eps) (+ eps (tan eps))) (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))))))
8.0ms	eps	@	-inf	(/ (* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))) (/ (/ (+ (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 3)) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (- (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 2) (* (* (* eps eps) (+ eps (tan eps))) (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))))))) (* (+ eps (tan eps)) (+ eps (tan eps)))))

rewrite726.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2708×	`-lowering-.f32`
2708×	`-lowering-.f64`
1356×	`/-lowering-/.f32`
1356×	`/-lowering-/.f64`
1170×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	519
1	380	255
2	4699	255
0	8452	255

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 492

Calls

Call 1

Inputs
(/ (* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))) (/ (- (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (* (+ eps (tan eps)) (pow (tan eps) 2)) 3)) (* (pow (+ eps (tan eps)) 2) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (* (* (+ eps (tan eps)) (pow (tan eps) 2)) (* (+ eps (tan eps)) (+ (* eps eps) (pow (tan eps) 2))))))))
(/ (- (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (* (+ eps (tan eps)) (pow (tan eps) 2)) 3)) (* (pow (+ eps (tan eps)) 2) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (* (* (+ eps (tan eps)) (pow (tan eps) 2)) (* (+ eps (tan eps)) (+ (* eps eps) (pow (tan eps) 2)))))))
(- (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (* (+ eps (tan eps)) (pow (tan eps) 2)) 3))
(* (pow (+ eps (tan eps)) 2) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (* (* (+ eps (tan eps)) (pow (tan eps) 2)) (* (+ eps (tan eps)) (+ (* eps eps) (pow (tan eps) 2))))))
(/ (* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))) (/ (/ (+ (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 3)) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (- (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 2) (* (* (* eps eps) (+ eps (tan eps))) (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))))))) (* (+ eps (tan eps)) (+ eps (tan eps)))))
(/ (/ (+ (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 3)) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (- (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 2) (* (* (* eps eps) (+ eps (tan eps))) (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))))))) (* (+ eps (tan eps)) (+ eps (tan eps))))
(/ (+ (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 3)) (+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (- (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 2) (* (* (* eps eps) (+ eps (tan eps))) (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2)))))))
(+ (pow (* (* eps eps) (+ eps (tan eps))) 2) (- (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 2) (* (* (* eps eps) (+ eps (tan eps))) (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))))))
(* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))
(+ (pow (* (* eps eps) (+ eps (tan eps))) 3) (pow (- 0 (* (+ eps (tan eps)) (pow (tan eps) 2))) 3))

Outputs
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(.f64 (-.f64 (pow.f64 (.f64 eps (.f64 eps (+.f64 eps (tan.f64 eps)))) #s(literal 9 binary64)) (pow.f64 (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (.f64 eps (.f64 eps (+.f64 eps (tan.f64 eps)))) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 6 binary64))) (pow.f64 (.f64 eps (.f64 eps (.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))) #s(literal 3 binary64)))))
(.f64 (+.f64 (pow.f64 (.f64 eps (.f64 eps (+.f64 eps (tan.f64 eps)))) #s(literal 6 binary64)) (pow.f64 (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 eps (.f64 eps (+.f64 eps (tan.f64 eps)))) #s(literal 3 binary64)) (*.f64 (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))))))
(.f64 (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (pow.f64 (.f64 eps (.f64 eps (+.f64 eps (tan.f64 eps)))) #s(literal 2 binary64)) (.f64 (+.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))))
(.f64 (+.f64 (pow.f64 (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 eps (.f64 eps (+.f64 eps (tan.f64 eps)))) #s(literal 2 binary64)) (.f64 eps (.f64 eps (.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))))) (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(.f64 (+.f64 (pow.f64 (.f64 eps (.f64 eps (+.f64 eps (tan.f64 eps)))) #s(literal 3/2 binary64)) (pow.f64 (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 3/2 binary64))) (-.f64 (pow.f64 (.f64 eps (.f64 eps (+.f64 eps (tan.f64 eps)))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 3/2 binary64))))

simplify838.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

5606×	`+-lowering-+.f64`
5606×	`+-lowering-+.f32`
3386×	`-lowering-.f32`
3386×	`-lowering-.f64`
1586×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	694	5026
1	2471	4180
0	8470	4180

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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) (- (* -1/90720 (/ (sin eps) (* eps (cos eps)))) (+ 1/362880 (* -1/362880 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))))
(* (pow eps 8) (- (+ (* -1/90720 (/ (sin eps) (* eps (cos eps)))) (+ (* -1/90720 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1/181440 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ 1/5040 (pow eps 2)))))) (+ 1/362880 (+ (* -1/362880 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)) (+ (* -1/362880 (/ (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2))) (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 2)))))))
(* (pow eps 8) (- (+ (* -1/90720 (/ (sin eps) (* eps (cos eps)))) (+ (* -1/90720 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1/90720 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1/181440 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 1/2520 (/ (sin eps) (* (pow eps 3) (cos eps)))) (+ (* 2 (/ (* (sin eps) (+ 1/5040 (* -1/181440 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (/ 1/5040 (pow eps 2))))))))) (+ 1/362880 (+ (* -1/362880 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)) (+ (* -1/362880 (/ (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2))) (+ (* -1/362880 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 2)) (+ (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ 1/5040 (+ (* -1/90720 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1/181440 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (+ (* -1/362880 (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))))) (pow eps 3)) (/ (* (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 3))))))))))
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* -1/90720 (/ (sin eps) (* eps (cos eps)))) (+ 1/362880 (* -1/362880 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))))
(* (pow eps 8) (- (* -1 (/ (- (+ (* -1 (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* -1 (/ (+ 1/5040 (+ (* -1/90720 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1/181440 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) eps))) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) eps)) (* -1/362880 (/ (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)))) eps)) 1/362880))
(* (pow eps 8) (- (* -1 (/ (+ (* -1 (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ 1/5040 (+ (* -1/90720 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1/181440 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))) (* -1/362880 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ 1/5040 (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (+ (* -1/2520 (/ (sin eps) (cos eps))) (+ (* 1/181440 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* 1/90720 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) eps))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) eps)) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ 1/5040 (+ (* -1/90720 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1/181440 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))) (* -1/362880 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) eps)) (* -1/362880 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))))) eps))) eps)) 1/362880))
(* -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 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) (* eps (cos eps))))) (* 4 (/ (sin eps) (* eps (cos eps))))))
(* eps (- (+ 1 (+ (* -1 (/ (+ (* 4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) (* eps (cos eps)))))) (* 4 (/ (sin eps) (* eps (cos eps))))))
(* eps (- (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))) (+ (* -4 (/ (* (sin eps) (+ (* 4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ (* 4 (/ (sin eps) (* eps (cos eps)))) (+ (* 4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (+ (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 8 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (* (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (pow eps 3)))))))))
eps
(* -1 (* eps (- (* -1 (/ (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps)))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) eps)) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* 4 (/ (sin eps) (cos eps)))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (- (/ (pow (sin eps) 3) (pow (cos eps) 3)) (+ (* -4 (/ (* (sin eps) (- (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (cos eps))) (+ (* 8 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps)))))))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) eps)) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* 4 (/ (sin eps) (cos eps)))) eps)) 1)))
(* -16 (pow eps 11))
(* (pow eps 11) (- (* -416/15 (pow eps 2)) 16))
(* (pow eps 11) (- (* (pow eps 2) (- (* -31736/945 (pow eps 2)) 416/15)) 16))
(* (pow eps 11) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -53096/1575 (pow eps 2)) 31736/945)) 416/15)) 16))
(pow eps 9)
(* (pow eps 9) (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 9) (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(* (pow eps 9) (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (+ (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))))))
(pow eps 9)
(* -1 (* (pow eps 9) (- (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)) 1)))
(* -1 (* (pow eps 9) (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) eps)) 1)))
(* -1 (* (pow eps 9) (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))))) eps)) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) eps)) 1)))
(* 48 (pow eps 8))
(* (pow eps 8) (+ 48 (* 64 (pow eps 2))))
(* (pow eps 8) (+ 48 (* (pow eps 2) (+ 64 (* 3032/45 (pow eps 2))))))
(* (pow eps 8) (+ 48 (* (pow eps 2) (+ 64 (* (pow eps 2) (+ 3032/45 (* 19112/315 (pow eps 2))))))))
(pow eps 8)
(* (pow eps 8) (+ 1 (* 4 (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 8) (+ 1 (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 4 (/ (sin eps) (* eps (cos eps)))) (+ (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(* (pow eps 8) (+ 1 (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 4 (/ (sin eps) (* eps (cos eps)))) (+ (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 8 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))))
(pow eps 8)
(* (pow eps 8) (+ 1 (* 4 (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 8) (+ 1 (* -1 (/ (+ (* -4 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) eps))))
(* (pow eps 8) (+ 1 (* -1 (/ (+ (* -4 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 8 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) eps))) 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)
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* -1/90720 (/ (sin eps) (* eps (cos eps)))) (+ 1/362880 (* -1/362880 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))))
(* (pow eps 8) (- (+ (* -1/90720 (/ (sin eps) (* eps (cos eps)))) (+ (* -1/90720 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1/362880 (/ (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (+ (* -1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ 1/5040 (pow eps 2)))))) (+ 1/362880 (+ (* -1/362880 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)) (+ (* -1/362880 (/ (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2))) (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 2)))))))
(* (pow eps 8) (- (+ (* -1/90720 (/ (sin eps) (* eps (cos eps)))) (+ (* -1/90720 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1/90720 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1/362880 (/ (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (+ (* -1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 1/2520 (/ (sin eps) (* (pow eps 3) (cos eps)))) (+ (* 2 (/ (* (sin eps) (+ 1/5040 (* -1/362880 (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (* (pow eps 3) (cos eps)))) (/ 1/5040 (pow eps 2))))))))) (+ 1/362880 (+ (* -1/362880 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)) (+ (* -1/362880 (/ (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2))) (+ (* -1/362880 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 2)) (+ (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ 1/5040 (+ (* -1/90720 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1/362880 (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (+ (* -1/362880 (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))))) (pow eps 3)) (/ (* (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 3))))))))))
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* -1/90720 (/ (sin eps) (* eps (cos eps)))) (+ 1/362880 (* -1/362880 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))))
(* (pow eps 8) (- (* -1 (/ (- (+ (* -1 (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* -1 (/ (+ 1/5040 (+ (* -1/90720 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1/362880 (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) eps))) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) eps)) (* -1/362880 (/ (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)))) eps)) 1/362880))
(* (pow eps 8) (- (* -1 (/ (+ (* -1 (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ 1/5040 (+ (* -1/90720 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1/362880 (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))) (* -1/362880 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ 1/5040 (* -1/362880 (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (cos eps))) (+ (* -1/2520 (/ (sin eps) (cos eps))) (* 1/90720 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) eps))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) eps)) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ 1/5040 (+ (* -1/90720 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1/362880 (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))) (* -1/362880 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) eps)) (* -1/362880 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))))) eps))) eps)) 1/362880))
(* -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 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) (* eps (cos eps))))) (* 4 (/ (sin eps) (* eps (cos eps))))))
(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))) (+ (* 4 (/ (sin eps) (* eps (cos eps)))) (+ (* 4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (+ (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))))) (+ (* 2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ (* 4 (/ (sin eps) (* eps (cos eps)))) (+ (* 4 (/ (* (sin eps) (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* (pow eps 3) (cos eps)))) (+ (* 4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (+ (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 4 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (* (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps)))) (- (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow eps 3))))))))))
eps
(* -1 (* eps (- (* -1 (/ (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps)))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (- (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) eps)) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* 4 (/ (sin eps) (cos eps)))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (- (/ (pow (sin eps) 3) (pow (cos eps) 3)) (+ (* -4 (/ (* (sin eps) (- (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (- (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (cos eps))) (+ (* -1 (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) (* (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps)))) (- (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (- (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) eps)) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* 4 (/ (sin eps) (cos eps)))) eps)) 1)))
(* -4/3 (pow eps 5))
(* (pow eps 5) (- (* -44/45 (pow eps 2)) 4/3))
(* (pow eps 5) (- (* (pow eps 2) (- (* -115/189 (pow eps 2)) 44/45)) 4/3))
(* (pow eps 5) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -4918/14175 (pow eps 2)) 115/189)) 44/45)) 4/3))
(pow eps 3)
(* (pow eps 3) (+ 1 (/ (sin eps) (* eps (cos eps)))))
(* (pow eps 3) (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 3) (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))) (+ (* -2 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* 2 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (* (sin eps) (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))))))
(pow eps 3)
(* -1 (* (pow eps 3) (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) eps)) (/ (sin eps) (cos eps))) eps)) 1)))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (pow (sin eps) 3) (pow (cos eps) 3)) (+ (* -2 (/ (* (sin eps) (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (cos eps))) (+ (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (/ (* (sin eps) (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) eps)) (/ (sin eps) (cos eps))) eps)) 1)))
(* 12 (pow eps 6))
(* (pow eps 6) (+ 12 (* 12 (pow eps 2))))
(* (pow eps 6) (+ 12 (* (pow eps 2) (+ 12 (* 491/45 (pow eps 2))))))
(* (pow eps 6) (+ 12 (* (pow eps 2) (+ 12 (* (pow eps 2) (+ 491/45 (* 8206/945 (pow eps 2))))))))
(pow eps 6)
(* (pow eps 6) (+ 1 (* 2 (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 6) (- (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(* (pow eps 6) (- (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(pow eps 6)
(* (pow eps 6) (+ 1 (* 2 (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 6) (+ 1 (* -1 (/ (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (/ (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) eps))))
(* (pow eps 6) (+ 1 (* -1 (/ (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (/ (- (+ (* 2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) eps))))
(* 1/6 eps)
(* eps (+ 1/6 (* -1/120 (pow eps 2))))
(* eps (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* eps (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -1/362880 (pow eps 7))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 7) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 7))
(* -1 (* (pow eps 7) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
(* -16 (pow eps 11))
(* (pow eps 11) (- (* -416/15 (pow eps 2)) 16))
(* (pow eps 11) (- (* (pow eps 2) (- (* -31736/945 (pow eps 2)) 416/15)) 16))
(* (pow eps 11) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -53096/1575 (pow eps 2)) 31736/945)) 416/15)) 16))
(pow eps 9)
(* (pow eps 9) (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 9) (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(* (pow eps 9) (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (+ (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))))))
(pow eps 9)
(* -1 (* (pow eps 9) (- (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)) 1)))
(* -1 (* (pow eps 9) (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) eps)) 1)))
(* -1 (* (pow eps 9) (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))))) eps)) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) 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 (.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 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
(* -1/362880 (pow eps 8))
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 8 binary64)))
(* (pow eps 8) (- (* -1/90720 (/ (sin eps) (* eps (cos eps)))) (+ 1/362880 (* -1/362880 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))))
(.f64 (pow.f64 eps #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/90720 binary64) (sin.f64 eps)) (.f64 eps (cos.f64 eps))) #s(literal -1/362880 binary64)) (.f64 #s(literal 1/362880 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))))
(* (pow eps 8) (- (+ (* -1/90720 (/ (sin eps) (* eps (cos eps)))) (+ (* -1/90720 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1/181440 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ 1/5040 (pow eps 2)))))) (+ 1/362880 (+ (* -1/362880 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)) (+ (* -1/362880 (/ (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2))) (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 2)))))))
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(* (pow eps 8) (- (+ (* -1/90720 (/ (sin eps) (* eps (cos eps)))) (+ (* -1/90720 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1/90720 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1/181440 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 1/2520 (/ (sin eps) (* (pow eps 3) (cos eps)))) (+ (* 2 (/ (* (sin eps) (+ 1/5040 (* -1/181440 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (/ 1/5040 (pow eps 2))))))))) (+ 1/362880 (+ (* -1/362880 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)) (+ (* -1/362880 (/ (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2))) (+ (* -1/362880 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 2)) (+ (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ 1/5040 (+ (* -1/90720 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1/181440 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (+ (* -1/362880 (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))))) (pow eps 3)) (/ (* (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 3))))))))))
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(* -1/362880 (pow eps 8))
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 8 binary64)))
(* (pow eps 8) (- (* -1/90720 (/ (sin eps) (* eps (cos eps)))) (+ 1/362880 (* -1/362880 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))))
(.f64 (pow.f64 eps #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/90720 binary64) (sin.f64 eps)) (.f64 eps (cos.f64 eps))) #s(literal -1/362880 binary64)) (.f64 #s(literal 1/362880 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))))
(* (pow eps 8) (- (* -1 (/ (- (+ (* -1 (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* -1 (/ (+ 1/5040 (+ (* -1/90720 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1/181440 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) eps))) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) eps)) (* -1/362880 (/ (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)))) eps)) 1/362880))
(.f64 (pow.f64 eps #s(literal 8 binary64)) (+.f64 (/.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 #s(literal -1/90720 binary64) (sin.f64 eps)) (cos.f64 eps)) (.f64 #s(literal 1/362880 binary64) (.f64 #s(literal 3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) (/.f64 (+.f64 #s(literal 1/5040 binary64) (.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -1/51840 binary64))) eps)) (-.f64 (/.f64 (.f64 #s(literal -1/362880 binary64) (.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -3 binary64))) eps) (/.f64 (.f64 (.f64 #s(literal 3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (/.f64 (.f64 #s(literal -1/90720 binary64) (sin.f64 eps)) (cos.f64 eps)) (.f64 #s(literal 1/362880 binary64) (.f64 #s(literal 3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps)))))) eps))) (neg.f64 eps)) #s(literal -1/362880 binary64)))
(* (pow eps 8) (- (* -1 (/ (+ (* -1 (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ 1/5040 (+ (* -1/90720 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1/181440 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))) (* -1/362880 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ 1/5040 (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (+ (* -1/2520 (/ (sin eps) (cos eps))) (+ (* 1/181440 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (* 1/90720 (/ (pow (sin eps) 3) (pow (cos eps) 3)))))) eps))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) eps)) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ 1/5040 (+ (* -1/90720 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1/181440 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))) (* -1/362880 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) eps)) (* -1/362880 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))))) eps))) eps)) 1/362880))
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(* -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 (.f64 (*.f64 eps eps) #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (*.f64 eps eps) #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) #s(literal -1/3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
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eps
(* eps (- (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) (* eps (cos eps))))) (* 4 (/ (sin eps) (* eps (cos eps))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1 binary64) (sin.f64 eps)) (*.f64 eps (cos.f64 eps)))))
(* eps (- (+ 1 (+ (* -1 (/ (+ (* 4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) (* eps (cos eps)))))) (* 4 (/ (sin eps) (* eps (cos eps))))))
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(* eps (- (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))) (+ (* -4 (/ (* (sin eps) (+ (* 4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ (* 4 (/ (sin eps) (* eps (cos eps)))) (+ (* 4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (+ (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 8 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (* (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (pow eps 3)))))))))
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eps
(* -1 (* eps (- (* -1 (/ (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps)))) eps)) 1)))
(.f64 (+.f64 (/.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal -1 binary64)) (neg.f64 eps)) #s(literal -1 binary64)) (neg.f64 eps))
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(* -16 (pow eps 11))
(*.f64 #s(literal -16 binary64) (pow.f64 eps #s(literal 11 binary64)))
(* (pow eps 11) (- (* -416/15 (pow eps 2)) 16))
(.f64 (pow.f64 eps #s(literal 11 binary64)) (+.f64 (.f64 (*.f64 eps eps) #s(literal -416/15 binary64)) #s(literal -16 binary64)))
(* (pow eps 11) (- (* (pow eps 2) (- (* -31736/945 (pow eps 2)) 416/15)) 16))
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(* (pow eps 11) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -53096/1575 (pow eps 2)) 31736/945)) 416/15)) 16))
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(pow eps 9)
(pow.f64 eps #s(literal 9 binary64))
(* (pow eps 9) (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) (* eps (cos eps))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))) (pow.f64 eps #s(literal 9 binary64)))
(* (pow eps 9) (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
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(pow eps 9)
(pow.f64 eps #s(literal 9 binary64))
(* -1 (* (pow eps 9) (- (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)) 1)))
(.f64 (+.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (neg.f64 eps)) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 9 binary64))))
(* -1 (* (pow eps 9) (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) eps)) 1)))
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(* 48 (pow eps 8))
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(* (pow eps 8) (+ 48 (* 64 (pow eps 2))))
(.f64 (pow.f64 eps #s(literal 8 binary64)) (+.f64 #s(literal 48 binary64) (.f64 (*.f64 eps eps) #s(literal 64 binary64))))
(* (pow eps 8) (+ 48 (* (pow eps 2) (+ 64 (* 3032/45 (pow eps 2))))))
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(* (pow eps 8) (+ 48 (* (pow eps 2) (+ 64 (* (pow eps 2) (+ 3032/45 (* 19112/315 (pow eps 2))))))))
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(pow eps 8)
(pow.f64 eps #s(literal 8 binary64))
(* (pow eps 8) (+ 1 (* 4 (/ (sin eps) (* eps (cos eps))))))
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(* (pow eps 8) (+ 1 (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 4 (/ (sin eps) (* eps (cos eps)))) (+ (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
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(* (pow eps 8) (+ 1 (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 4 (/ (sin eps) (* eps (cos eps)))) (+ (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 8 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))))
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(pow eps 8)
(pow.f64 eps #s(literal 8 binary64))
(* (pow eps 8) (+ 1 (* 4 (/ (sin eps) (* eps (cos eps))))))
(.f64 (pow.f64 eps #s(literal 8 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 4 binary64) (sin.f64 eps)) (*.f64 eps (cos.f64 eps)))))
(* (pow eps 8) (+ 1 (* -1 (/ (+ (* -4 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) eps))))
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(* (pow eps 8) (+ 1 (* -1 (/ (+ (* -4 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 8 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) eps))) eps))))
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-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 (.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 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))))) #s(literal -1/2 binary64))
(* -1/362880 (pow eps 8))
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 8 binary64)))
(* (pow eps 8) (- (* -1/90720 (/ (sin eps) (* eps (cos eps)))) (+ 1/362880 (* -1/362880 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))))
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(* (pow eps 8) (- (+ (* -1/90720 (/ (sin eps) (* eps (cos eps)))) (+ (* -1/90720 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -1/90720 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1/362880 (/ (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (pow eps 2))) (+ (* -1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 1/2520 (/ (sin eps) (* (pow eps 3) (cos eps)))) (+ (* 2 (/ (* (sin eps) (+ 1/5040 (* -1/362880 (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (* (pow eps 3) (cos eps)))) (/ 1/5040 (pow eps 2))))))))) (+ 1/362880 (+ (* -1/362880 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)) (+ (* -1/362880 (/ (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2))) (+ (* -1/362880 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 2)) (+ (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (+ 1/5040 (+ (* -1/90720 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1/362880 (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (+ (* -1/362880 (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))))) (pow eps 3)) (/ (* (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (pow eps 3))))))))))
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(* -1/362880 (pow eps 8))
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 8 binary64)))
(* (pow eps 8) (- (* -1/90720 (/ (sin eps) (* eps (cos eps)))) (+ 1/362880 (* -1/362880 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)))))
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(* (pow eps 8) (- (* -1 (/ (- (+ (* -1 (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* -1 (/ (+ 1/5040 (+ (* -1/90720 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1/362880 (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) eps))) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) eps)) (* -1/362880 (/ (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)))) eps)) 1/362880))
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(* (pow eps 8) (- (* -1 (/ (+ (* -1 (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ 1/5040 (+ (* -1/90720 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1/362880 (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))) (* -1/362880 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ 1/5040 (* -1/362880 (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (cos eps))) (+ (* -1/2520 (/ (sin eps) (cos eps))) (* 1/90720 (/ (pow (sin eps) 3) (pow (cos eps) 3))))) eps))) (+ (* -1 (/ (* (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))))) eps)) (+ (* -1 (/ (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1 (+ 1/5040 (+ (* -1/90720 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1/362880 (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (+ (* -1 (* (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (- (* -1/90720 (/ (sin eps) (cos eps))) (* -1/362880 (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))))) (* -1/362880 (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))))) eps)) (* -1/362880 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))))) eps))) eps)) 1/362880))
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(* -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 (.f64 (*.f64 eps eps) #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (*.f64 eps eps) #s(literal -17/315 binary64)) #s(literal -2/15 binary64))) #s(literal -1/3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
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eps
(* eps (- (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) (* eps (cos eps))))) (* 4 (/ (sin eps) (* eps (cos eps))))))
(.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -1 binary64) (sin.f64 eps)) (*.f64 eps (cos.f64 eps)))))
(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))) (+ (* 4 (/ (sin eps) (* eps (cos eps)))) (+ (* 4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
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(* eps (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (+ (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))))) (+ (* 2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ (* 4 (/ (sin eps) (* eps (cos eps)))) (+ (* 4 (/ (* (sin eps) (- (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* 4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (cos eps))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (* (pow eps 3) (cos eps)))) (+ (* 4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (+ (* 4 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* 4 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (* (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps)))) (- (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (pow eps 3))))))))))
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eps
(* -1 (* eps (- (* -1 (/ (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps)))) eps)) 1)))
(.f64 (+.f64 (/.f64 (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal -1 binary64)) (neg.f64 eps)) #s(literal -1 binary64)) (neg.f64 eps))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -4 (/ (* (sin eps) (- (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) (* 4 (/ (sin eps) (cos eps))))) (cos eps))) (* -1 (- (+ (* 2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 4 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) eps)) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) (* 4 (/ (sin eps) (cos eps)))) eps)) 1)))
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(* -4/3 (pow eps 5))
(*.f64 #s(literal -4/3 binary64) (pow.f64 eps #s(literal 5 binary64)))
(* (pow eps 5) (- (* -44/45 (pow eps 2)) 4/3))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (.f64 (*.f64 eps eps) #s(literal -44/45 binary64)) #s(literal -4/3 binary64)))
(* (pow eps 5) (- (* (pow eps 2) (- (* -115/189 (pow eps 2)) 44/45)) 4/3))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (*.f64 eps eps) #s(literal -115/189 binary64)) #s(literal -44/45 binary64))) #s(literal -4/3 binary64)))
(* (pow eps 5) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -4918/14175 (pow eps 2)) 115/189)) 44/45)) 4/3))
(.f64 (pow.f64 eps #s(literal 5 binary64)) (+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (*.f64 eps eps) #s(literal -4918/14175 binary64)) #s(literal -115/189 binary64))) #s(literal -44/45 binary64))) #s(literal -4/3 binary64)))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(* (pow eps 3) (+ 1 (/ (sin eps) (* eps (cos eps)))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))) #s(literal 1 binary64)))
(* (pow eps 3) (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps))))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))))
(* (pow eps 3) (- (+ 1 (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))) (+ (* -2 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* 2 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (* (sin eps) (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))))))
(.f64 (.f64 eps (.f64 eps eps)) (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (+.f64 (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))))) (+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) #s(literal 0 binary64)) (/.f64 (.f64 (sin.f64 eps) (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (.f64 (cos.f64 eps) (.f64 eps (.f64 eps eps)))))))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(* -1 (* (pow eps 3) (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))
(.f64 (+.f64 (/.f64 (.f64 #s(literal -1 binary64) (sin.f64 eps)) (.f64 eps (cos.f64 eps))) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps eps))))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) eps)) (/ (sin eps) (cos eps))) eps)) 1)))
(.f64 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) eps)) (neg.f64 eps)) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (.f64 eps (.f64 eps eps))))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (pow (sin eps) 3) (pow (cos eps) 3)) (+ (* -2 (/ (* (sin eps) (- (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))))) (cos eps))) (+ (* 2 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (/ (* (sin eps) (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))))) eps)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) eps)) (/ (sin eps) (cos eps))) eps)) 1)))
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(* 12 (pow eps 6))
(*.f64 #s(literal 12 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (+ 12 (* 12 (pow eps 2))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 12 binary64) (.f64 (*.f64 eps eps) #s(literal 12 binary64))))
(* (pow eps 6) (+ 12 (* (pow eps 2) (+ 12 (* 491/45 (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 12 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 12 binary64) (.f64 (*.f64 eps eps) #s(literal 491/45 binary64))))))
(* (pow eps 6) (+ 12 (* (pow eps 2) (+ 12 (* (pow eps 2) (+ 491/45 (* 8206/945 (pow eps 2))))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 12 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 12 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 491/45 binary64) (.f64 (*.f64 eps eps) #s(literal 8206/945 binary64))))))))
(pow eps 6)
(pow.f64 eps #s(literal 6 binary64))
(* (pow eps 6) (+ 1 (* 2 (/ (sin eps) (* eps (cos eps))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (sin.f64 eps)) (*.f64 eps (cos.f64 eps)))))
(* (pow eps 6) (- (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
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(* (pow eps 6) (- (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (+.f64 (.f64 #s(literal 2 binary64) (+.f64 (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))))
(pow eps 6)
(pow.f64 eps #s(literal 6 binary64))
(* (pow eps 6) (+ 1 (* 2 (/ (sin eps) (* eps (cos eps))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (sin.f64 eps)) (*.f64 eps (cos.f64 eps)))))
(* (pow eps 6) (+ 1 (* -1 (/ (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (/ (- (/ (pow (sin eps) 2) (pow (cos eps) 2)) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) eps))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (sin.f64 eps)) (cos.f64 eps)) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) eps)) eps)))
(* (pow eps 6) (+ 1 (* -1 (/ (+ (* -2 (/ (sin eps) (cos eps))) (* -1 (/ (- (+ (* 2 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) eps))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (sin.f64 eps)) (cos.f64 eps)) (/.f64 (+.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps)) eps)))
(* 1/6 eps)
(*.f64 eps #s(literal 1/6 binary64))
(* eps (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 eps eps) #s(literal -1/120 binary64))))
(* eps (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (*.f64 eps eps) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))))
(* eps (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 eps (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))) #s(literal -1/120 binary64)))))
(* -1/362880 (pow eps 7))
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps)) #s(literal -1/362880 binary64)))
(* (pow eps 7) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 7 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps)) #s(literal -1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 4 binary64)))))
(* (pow eps 7) (- (+ (* 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 7 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 6 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps)) #s(literal -1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* -1/362880 (pow eps 7))
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(.f64 (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps))) (neg.f64 (pow.f64 eps #s(literal 7 binary64))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps))))))
(* -1 (* (pow eps 7) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.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)))) (neg.f64 (pow.f64 eps #s(literal 7 binary64))))
(* -16 (pow eps 11))
(*.f64 #s(literal -16 binary64) (pow.f64 eps #s(literal 11 binary64)))
(* (pow eps 11) (- (* -416/15 (pow eps 2)) 16))
(.f64 (pow.f64 eps #s(literal 11 binary64)) (+.f64 (.f64 (*.f64 eps eps) #s(literal -416/15 binary64)) #s(literal -16 binary64)))
(* (pow eps 11) (- (* (pow eps 2) (- (* -31736/945 (pow eps 2)) 416/15)) 16))
(.f64 (pow.f64 eps #s(literal 11 binary64)) (+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (*.f64 eps eps) #s(literal -31736/945 binary64)) #s(literal -416/15 binary64))) #s(literal -16 binary64)))
(* (pow eps 11) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -53096/1575 (pow eps 2)) 31736/945)) 416/15)) 16))
(.f64 (pow.f64 eps #s(literal 11 binary64)) (+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (.f64 eps eps) (+.f64 (.f64 (*.f64 eps eps) #s(literal -53096/1575 binary64)) #s(literal -31736/945 binary64))) #s(literal -416/15 binary64))) #s(literal -16 binary64)))
(pow eps 9)
(pow.f64 eps #s(literal 9 binary64))
(* (pow eps 9) (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) (* eps (cos eps))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))) (pow.f64 eps #s(literal 9 binary64)))
(* (pow eps 9) (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 eps eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (.f64 #s(literal 3 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))))))
(* (pow eps 9) (+ 1 (+ (* 2 (/ (sin eps) (* eps (cos eps)))) (+ (* 2 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (+ (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))))))))
(.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 eps eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 3 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))) (+.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))))))))
(pow eps 9)
(pow.f64 eps #s(literal 9 binary64))
(* -1 (* (pow eps 9) (- (* -1 (/ (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))) eps)) 1)))
(.f64 (+.f64 (/.f64 (.f64 #s(literal 3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (neg.f64 eps)) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 9 binary64))))
(* -1 (* (pow eps 9) (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) eps)) 1)))
(.f64 (+.f64 (/.f64 (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -3 binary64)) eps)) (neg.f64 eps)) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 9 binary64))))
(* -1 (* (pow eps 9) (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))))) eps)) (+ (* 2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps)))) eps)) 1)))
(.f64 (+.f64 (/.f64 (-.f64 (.f64 #s(literal 3 binary64) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal -3 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 3 binary64))))) eps)) (neg.f64 eps)) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 eps #s(literal 9 binary64))))

eval260.0ms (0.8%)

Compiler: Compiled 59784 to 2206 computations (96.3% saved)

prune194.0ms (0.6%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	634	2	636
Fresh	0	0	0
Picked	2	0	2
Done	0	10	10
Total	636	12	648

Accuracy

100.0%

Counts

648 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	0.6%	(/.f64 (-.f64 eps (sin.f64 eps)) (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))))
✓	0.8%	(/.f64 (.f64 (.f64 eps eps) (+.f64 (.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 eps (.f64 eps eps))) (.f64 eps #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
	0.7%	(/.f64 (.f64 (.f64 eps eps) (.f64 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 (-.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 eps (tan.f64 eps)) (.f64 eps (.f64 eps (+.f64 eps (tan.f64 eps))))) #s(literal 2 binary64)) (.f64 (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)) (.f64 (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))))
	0.7%	(/.f64 (.f64 (.f64 eps eps) (.f64 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 (-.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 eps (.f64 eps (+.f64 eps (tan.f64 eps)))) #s(literal 2 binary64)) (.f64 (+.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))))))
✓	0.8%	(/.f64 (.f64 (.f64 eps eps) (.f64 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 (-.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (+.f64 eps (tan.f64 eps)) (+.f64 eps (tan.f64 eps)))))
✓	0.8%	(/.f64 (.f64 (.f64 eps eps) (.f64 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)))
✓	0.6%	(/.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) (-.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 eps (.f64 eps #s(literal 27/112000 binary64)))))))) #s(literal -1/2 binary64))
✓	99.9%	(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))) #s(literal -1/2 binary64)))
✓	99.9%	(+.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))
✓	99.8%	(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
✓	99.6%	#s(literal -1/2 binary64)

Compiler

Compiled 988 to 308 computations (68.8% saved)

regimes18.0ms (0.1%)

Counts

15 → 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 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps 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 eps (.f64 eps #s(literal 27/112000 binary64)))))))) #s(literal -1/2 binary64))
(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) (+.f64 (.f64 (.f64 eps eps) (.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 eps eps) (.f64 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 (.f64 eps eps) (+.f64 (.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 eps (.f64 eps eps))) (.f64 eps #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(/.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) (-.f64 eps (tan.f64 eps)))
(/.f64 (-.f64 eps (sin.f64 eps)) (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)))))
(/.f64 (.f64 (.f64 eps eps) (.f64 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 (-.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (*.f64 (+.f64 eps (tan.f64 eps)) (+.f64 eps (tan.f64 eps)))))
(/.f64 (.f64 (.f64 eps eps) (.f64 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 (-.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 eps (.f64 eps (+.f64 eps (tan.f64 eps)))) #s(literal 2 binary64)) (.f64 (+.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))))))
(/.f64 (.f64 (.f64 eps eps) (.f64 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 (-.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))))))
(/.f64 (.f64 (.f64 eps eps) (.f64 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 (-.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 eps (tan.f64 eps)) (.f64 eps (.f64 eps (+.f64 eps (tan.f64 eps))))) #s(literal 2 binary64)) (.f64 (pow.f64 (+.f64 eps (tan.f64 eps)) #s(literal 3 binary64)) (.f64 (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))))
(/.f64 (.f64 (.f64 eps eps) (.f64 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 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 eps eps) (+.f64 eps (tan.f64 eps))) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))))) (.f64 (+.f64 eps (tan.f64 eps)) (+.f64 eps (tan.f64 eps)))))

Outputs

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

Calls

2 calls:

7.0ms	eps
7.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 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)

regimes4.0ms (0%)

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

Calls

1 calls:

3.0ms

eps

Results

Accuracy	Segments	Branch
99.9%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

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

Outputs
(+.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))

Calls

1 calls:

5.0ms

eps

Results

Accuracy	Segments	Branch
99.9%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

2 → 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))

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

Calls

1 calls:

3.0ms

eps

Results

Accuracy	Segments	Branch
99.8%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

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:

2.0ms

eps

Results

Accuracy	Segments	Branch
99.6%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
16×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	63
1	46	63

Stop Event

1×

saturated

Calls

Call 1

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

soundness1.9s (5.7%)

Rules

4708×	`-lowering-.f32`
4708×	`-lowering-.f64`
2978×	`-lowering-.f32`
2978×	`-lowering-.f64`
2910×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	148	547
1	457	499
2	1536	461
3	6921	461
0	8078	461
0	36	216
1	257	191
2	2337	191
0	8309	191

Stop Event

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

Compiler

Compiled 114 to 59 computations (48.2% saved)

preprocess171.0ms (0.5%)

Remove: (abs eps)
Compiler: Compiled 464 to 246 computations (47% saved)

analyze1.1s (3.3%)

sample11.8s (36.2%)

preprocess208.0ms (0.6%)

explain845.0ms (2.6%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify119.0ms (0.4%)

localize443.0ms (1.4%)

series11.0ms (0%)

rewrite765.0ms (2.3%)

simplify631.0ms (1.9%)

eval89.0ms (0.3%)

prune137.0ms (0.4%)

simplify515.0ms (1.6%)

localize1.2s (3.7%)

series38.0ms (0.1%)

rewrite808.0ms (2.5%)

simplify668.0ms (2%)

eval254.0ms (0.8%)

prune409.0ms (1.3%)

simplify518.0ms (1.6%)

localize2.3s (7.1%)

series70.0ms (0.2%)

rewrite1.6s (4.9%)

simplify780.0ms (2.4%)

eval381.0ms (1.2%)

prune244.0ms (0.7%)

simplify592.0ms (1.8%)

localize1.9s (5.8%)

series115.0ms (0.4%)

rewrite726.0ms (2.2%)

simplify838.0ms (2.6%)

eval260.0ms (0.8%)

prune194.0ms (0.6%)

regimes18.0ms (0.1%)

regimes4.0ms (0%)

regimes6.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

simplify17.0ms (0.1%)

soundness1.9s (5.7%)

preprocess171.0ms (0.5%)

end0.0ms (0%)

Profiling