Metrics for sintan (problem 3.4.5)

analyze569.0ms (2.3%)

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: 296.0ms

...c/correct-round.rkt:119:19: 110.0ms (37.2% of total)

ival-sin: 51.0ms (17.2% of total)

ival-sub: 48.0ms (16.2% of total)

ival-<=: 39.0ms (13.2% of total)

ival-tan: 28.0ms (9.5% of total)

ival-div: 13.0ms (4.4% of total)

ival-and: 5.0ms (1.7% of total)

backward-pass: 2.0ms (0.7% of total)

sample9.5s (39.2%)

Results

6.7s	4221×	2	valid
1.6s	1292×	3	valid
854.0ms	2669×	1	valid
11.0ms	74×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.4s

ival-tan: 4.6s (54.4% of total)

ival-sin: 2.6s (30.5% of total)

backward-pass: 353.0ms (4.2% of total)

ival-sub: 312.0ms (3.7% of total)

...c/correct-round.rkt:119:19: 295.0ms (3.5% of total)

ival-<=: 173.0ms (2.1% of total)

ival-div: 125.0ms (1.5% of total)

ival-and: 11.0ms (0.1% of total)

Bogosity

preprocess91.0ms (0.4%)

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)

explain720.0ms (3%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
179	0	-	3	(3.823968153605605e-107)	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
78	2	(5.27679701759622e-108)	0	-	`(-.f64 eps (sin.f64 eps))`
78	1	(5.27679701759622e-108)	0	-	`(-.f64 eps (tan.f64 eps))`
0	0	-	0	-	`(sin.f64 eps)`
0	0	-	0	-	`eps`
0	0	-	0	-	`(tan.f64 eps)`

Results

423.0ms	276×	2	valid
153.0ms	82×	3	valid
70.0ms	150×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 58 to 20 computations (65.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 549.0ms

ival-tan: 316.0ms (57.6% of total)

ival-sin: 157.0ms (28.6% of total)

ival-sub: 41.0ms (7.5% of total)

backward-pass: 27.0ms (4.9% of total)

ival-div: 7.0ms (1.3% of total)

const: 1.0ms (0.2% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.4%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify116.0ms (0.5%)

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)

localize316.0ms (1.3%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 eps)
✓	accuracy	72.6%	(-.f64 eps (sin.f64 eps))
✓	accuracy	72.6%	(-.f64 eps (tan.f64 eps))
✓	accuracy	31.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

196.0ms	138×	2	valid
79.0ms	41×	3	valid
29.0ms	75×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 24 to 7 computations (70.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 254.0ms

ival-tan: 136.0ms (53.6% of total)

ival-sin: 90.0ms (35.5% of total)

backward-pass: 12.0ms (4.7% of total)

ival-sub: 12.0ms (4.7% of total)

ival-div: 4.0ms (1.6% of total)

const: 0.0ms (0% of total)

series4.0ms (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
1.0ms	eps	@	inf	(/ (- eps (sin eps)) (- eps (tan eps)))
1.0ms	eps	@	-inf	(/ (- eps (sin eps)) (- eps (tan eps)))
1.0ms	eps	@	0	(/ (- eps (sin eps)) (- eps (tan eps)))
0.0ms	eps	@	inf	(- eps (tan eps))
0.0ms	eps	@	-inf	(- eps (tan eps))

rewrite337.0ms (1.4%)

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	422	19
3	6351	19
0	8332	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 eps (tan.f64 eps))) (-.f64 #s(literal 0 binary64) (sin.f64 eps))))
(+.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 eps (tan.f64 eps))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (-.f64 #s(literal 0 binary64) (sin.f64 eps))) (/.f64 eps (-.f64 eps (tan.f64 eps))))
(+.f64 (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (.f64 eps eps)) (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))
(+.f64 (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))) (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (.f64 eps eps)))
(+.f64 (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (+.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (.f64 eps (tan.f64 eps))))
(+.f64 (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) eps) (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (tan.f64 eps)))
(+.f64 (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (tan.f64 eps)) (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) eps))
(+.f64 (.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 1 binary64)) (.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 eps eps) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (.f64 (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (.f64 (.f64 eps eps) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))))
(+.f64 (.f64 (+.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (.f64 (.f64 eps (tan.f64 eps)) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))))
(+.f64 (.f64 eps (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (.f64 (tan.f64 eps) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))
(+.f64 (.f64 (tan.f64 eps) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (.f64 eps (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64)))
(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (tan.f64 eps) eps)))
(-.f64 (/.f64 (/.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 eps eps) (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (-.f64 eps (tan.f64 eps))) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (+.f64 (.f64 eps eps) (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (-.f64 eps (tan.f64 eps))))
(-.f64 (/.f64 (/.f64 (.f64 eps eps) (+.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 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 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (tan.f64 eps)))
(.f64 (/.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps eps))) (pow.f64 (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (.f64 (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) (-.f64 (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) (.f64 eps eps)))))
(.f64 (/.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (-.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (pow.f64 (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)))) (-.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))
(.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))))

simplify256.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	547
1	457	472
2	1539	434
3	6918	432
0	8079	432

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

eval473.0ms (1.9%)

Compiler: Compiled 12278 to 1228 computations (90% saved)

prune64.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	412	9	421
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	412	10	422

Accuracy

100.0%

Counts

422 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.3%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (/.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (+.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))))))
▶	2.7%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))
✓	1.4%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
	0.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))))))
	1.0%	(/.f64 (.f64 (.f64 eps eps) (.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)))))))))) (-.f64 eps (tan.f64 eps)))
▶	1.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps))))
▶	99.9%	(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
▶	99.8%	(+.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))
	99.7%	(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
▶	99.5%	#s(literal -1/2 binary64)

Compiler

Compiled 346 to 194 computations (43.9% saved)

simplify159.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 eps)
✓	cost-diff	0	(-.f64 eps (sin.f64 eps))
✓	cost-diff	6336	(fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))))
✓	cost-diff	6336	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))
✓	cost-diff	0	(tan.f64 eps)
✓	cost-diff	0	(-.f64 eps (tan.f64 eps))
✓	cost-diff	0	(/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps))))
✓	cost-diff	0	(+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))
✓	cost-diff	0	(.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))
✓	cost-diff	0	(.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))
✓	cost-diff	0	(+.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	0	(+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)))))))
✓	cost-diff	0	(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))

Rules

3008×	`sum4-define`
2416×	`sum3-define`
1592×	`fma-lowering-fma.f32`
1592×	`fma-lowering-fma.f64`
1202×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	234
1	103	215
2	272	214
3	643	214
4	1390	214
5	2643	214
6	6687	214
0	8341	214

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize1.3s (5.2%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 eps (tan.f64 eps))
✓	accuracy	99.9%	(fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps)))))
✓	accuracy	99.9%	(-.f64 eps (sin.f64 eps))
✓	accuracy	100.0%	(sin.f64 eps)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps))))
✓	accuracy	99.9%	(-.f64 eps (sin.f64 eps))
✓	accuracy	99.9%	(-.f64 eps (tan.f64 eps))
✓	accuracy	100.0%	(.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	100.0%	(.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))
✓	accuracy	100.0%	(.f64 (.f64 eps eps) #s(literal -27/2800 binary64))
✓	accuracy	100.0%	(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
✓	accuracy	100.0%	(.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))))
✓	accuracy	100.0%	(.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)))))
✓	accuracy	100.0%	(*.f64 eps eps)

Results

1.2s	254×	5	exit
1.0ms	2×	0	valid

Compiler

Compiled 262 to 34 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 655.0ms

ival-tan: 211.0ms (32.2% of total)

backward-pass: 134.0ms (20.5% of total)

ival-sin: 93.0ms (14.2% of total)

ival-add: 53.0ms (8.1% of total)

ival-mult: 47.0ms (7.2% of total)

...c/correct-round.rkt:119:19: 29.0ms (4.4% of total)

ival-div: 26.0ms (4% of total)

ival-sub: 22.0ms (3.4% of total)

compiled-spec: 22.0ms (3.4% of total)

ival-pow: 11.0ms (1.7% of total)

ival-neg: 4.0ms (0.6% of total)

const: 1.0ms (0.2% of total)

series29.0ms (0.1%)

Counts

22 → 264

Calls

Call 1

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

Outputs
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))>
#<alt (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt 9/40>
#<alt (+ 9/40 (* -27/2800 (pow eps 2)))>
#<alt (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))>
#<alt (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))>
#<alt (* 27/112000 (pow eps 4))>
#<alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 4))>
#<alt (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (* -27/2800 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* -27/2800 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* -27/2800 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* -27/2800 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* 9/40 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>
#<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 -2>
#<alt (- (* -9/10 (pow eps 2)) 2)>
#<alt (- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)>
#<alt (- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (* -1 (/ (sin eps) eps)))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))) (* -1 (/ (sin eps) eps)))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 3)))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (/ (sin eps) (cos eps)) (sin eps)) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (/ (sin eps) (cos eps)) (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps))) eps)) (sin eps)) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (sin eps))) eps)) (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps)))) eps)) (/ (sin eps) (cos eps))) (sin eps)) 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 eps>
#<alt (* eps (+ 1 (* 1/3 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))>
#<alt (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (pow eps 2))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (* (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps)))))) (/ (* (sin eps) (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))))) (cos eps))) (pow eps 3))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -1 (/ (+ (* -1 (/ (* (sin eps) (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (cos eps))) (* (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps)))))) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) eps))) 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 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2)))) (/ (sin eps) (* eps (cos eps)))))>
#<alt (* eps (- (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2)))) (/ (sin eps) (* eps (cos eps)))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (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 eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt eps>
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (* -27/2800 (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 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 (* -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 (* 2 eps)>
#<alt (* eps (+ 2 (* 1/3 (pow eps 2))))>
#<alt (* eps (+ 2 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))>
#<alt (* eps (+ 2 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))>
#<alt eps>
#<alt (* eps (+ 1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (* eps (+ 1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (* eps (+ 1 (/ (sin eps) (* eps (cos eps)))))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* 17/45 (pow eps 2))))))>
#<alt (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 17/45 (* 62/315 (pow eps 2))))))))>
#<alt (/ (pow (sin eps) 2) (pow (cos eps) 2))>
#<alt (/ (pow (sin eps) 2) (pow (cos eps) 2))>
#<alt (/ (pow (sin eps) 2) (pow (cos eps) 2))>
#<alt (/ (pow (sin eps) 2) (pow (cos eps) 2))>
#<alt (/ (pow (sin eps) 2) (pow (cos eps) 2))>
#<alt (/ (pow (sin eps) 2) (pow (cos eps) 2))>
#<alt (/ (pow (sin eps) 2) (pow (cos eps) 2))>
#<alt (/ (pow (sin eps) 2) (pow (cos eps) 2))>

Calls

66 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	0	(* eps eps)
2.0ms	eps	@	-inf	(/ (- eps (sin eps)) (+ (* eps (/ eps (+ eps (tan eps)))) (neg (/ (pow (tan eps) 2) (+ eps (tan eps))))))
1.0ms	eps	@	inf	(/ (- eps (sin eps)) (+ (* eps (/ eps (+ eps (tan eps)))) (neg (/ (pow (tan eps) 2) (+ eps (tan eps))))))
1.0ms	eps	@	-inf	(/ (- eps (tan eps)) (- eps (sin eps)))
1.0ms	eps	@	inf	(+ (* eps (/ eps (+ eps (tan eps)))) (neg (/ (pow (tan eps) 2) (+ eps (tan eps)))))

rewrite439.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3418×	`-lowering-.f32`
3418×	`-lowering-.f64`
2724×	`fma-lowering-fma.f32`
2724×	`fma-lowering-fma.f64`
2326×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	154
1	241	138
2	2221	138
0	8449	138

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1030

Calls

Call 1

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

Outputs
(+.f64 (.f64 eps (.f64 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))
(+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 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))))))))
(+.f64 (.f64 eps (.f64 eps #s(literal 9/40 binary64))) (+.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)))))) #s(literal -1/2 binary64)))
(+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 9/40 binary64)))) (.f64 eps (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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)))))))) (+.f64 (.f64 eps (.f64 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))) (/.f64 #s(literal 1/4 binary64) (+.f64 (.f64 eps (.f64 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))))
(fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) (+.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 (*.f64 eps 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 (*.f64 eps eps) #s(literal 27/112000 binary64)))))) #s(literal -1/2 binary64))
(fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) (+.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 (*.f64 eps 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 (*.f64 eps eps) #s(literal 27/112000 binary64))))) #s(literal -1/2 binary64))
(fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) (+.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 (*.f64 eps 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 (.f64 eps eps) #s(literal 27/112000 binary64))))) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (.f64 eps #s(literal 9/40 binary64)) eps (+.f64 (.f64 eps (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 (*.f64 eps 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 (*.f64 eps eps) #s(literal 27/112000 binary64)))))) eps #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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)))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.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))))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))) (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 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)))))) (.f64 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 -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 eps (.f64 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)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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 -1/4 binary64))))
(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 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)))))) (.f64 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 -1/8 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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)))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.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))))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))))
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(fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) (.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps (*.f64 eps eps))) eps))
(fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) (.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) (*.f64 eps eps)))
(fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) (.f64 eps (.f64 #s(literal 27/112000 binary64) (.f64 eps (*.f64 eps eps)))))
(fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))))
(fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) (.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps (*.f64 eps eps))) eps))
(fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) (*.f64 eps eps)))
(fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)))
(fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) (.f64 eps (.f64 #s(literal 27/112000 binary64) (.f64 eps (*.f64 eps eps)))))
(fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) (.f64 (.f64 eps eps) (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))))
(fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) (.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps (*.f64 eps eps))) eps))
(fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) (.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) (*.f64 eps eps)))
(fma.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) (.f64 eps eps) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)))
(fma.f64 (.f64 eps #s(literal -27/2800 binary64)) eps (.f64 eps (.f64 #s(literal 27/112000 binary64) (.f64 eps (*.f64 eps eps)))))
(fma.f64 (.f64 eps #s(literal -27/2800 binary64)) eps (.f64 (.f64 eps eps) (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))))
(fma.f64 (.f64 eps #s(literal -27/2800 binary64)) eps (.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps (*.f64 eps eps))) eps))
(fma.f64 (.f64 eps #s(literal -27/2800 binary64)) eps (.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) (*.f64 eps eps)))
(/.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal -19683/21952000000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 19683/1404928000000000 binary64))))) (+.f64 #s(literal 729/7840000 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) (-.f64 (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))))
(/.f64 (.f64 (.f64 eps eps) (-.f64 #s(literal 729/7840000 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 729/12544000000 binary64)))) (-.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))
(.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))
(.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))) (.f64 eps eps))
(.f64 (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)))) eps)
(+.f64 (.f64 eps #s(literal -27/2800 binary64)) (.f64 #s(literal 27/112000 binary64) (.f64 eps (.f64 eps eps))))
(+.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps (.f64 eps eps))) (.f64 eps #s(literal -27/2800 binary64)))
(fma.f64 eps #s(literal -27/2800 binary64) (.f64 #s(literal 27/112000 binary64) (.f64 eps (*.f64 eps eps))))
(fma.f64 eps (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) (*.f64 eps #s(literal -27/2800 binary64)))
(fma.f64 (.f64 eps eps) (.f64 eps #s(literal 27/112000 binary64)) (*.f64 eps #s(literal -27/2800 binary64)))
(fma.f64 #s(literal -27/2800 binary64) eps (.f64 #s(literal 27/112000 binary64) (.f64 eps (*.f64 eps eps))))
(fma.f64 #s(literal 27/112000 binary64) (.f64 eps (.f64 eps eps)) (*.f64 eps #s(literal -27/2800 binary64)))
(fma.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) eps (*.f64 eps #s(literal -27/2800 binary64)))
(fma.f64 (.f64 eps (.f64 eps eps)) #s(literal 27/112000 binary64) (*.f64 eps #s(literal -27/2800 binary64)))
(fma.f64 (.f64 eps #s(literal 27/112000 binary64)) (.f64 eps eps) (*.f64 eps #s(literal -27/2800 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -19683/21952000000 binary64) (.f64 eps (.f64 eps eps))) (.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 19683/1404928000000000 binary64))) (.f64 eps (.f64 eps eps)))) (+.f64 (.f64 (.f64 eps #s(literal -27/2800 binary64)) (.f64 eps #s(literal -27/2800 binary64))) (-.f64 (.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps (.f64 eps eps))) (.f64 #s(literal 27/112000 binary64) (.f64 eps (.f64 eps eps)))) (.f64 (.f64 eps #s(literal -27/2800 binary64)) (.f64 #s(literal 27/112000 binary64) (.f64 eps (*.f64 eps eps)))))))
(/.f64 (-.f64 (.f64 (.f64 eps #s(literal -27/2800 binary64)) (.f64 eps #s(literal -27/2800 binary64))) (.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps (.f64 eps eps))) (.f64 #s(literal 27/112000 binary64) (.f64 eps (.f64 eps eps))))) (-.f64 (.f64 eps #s(literal -27/2800 binary64)) (.f64 #s(literal 27/112000 binary64) (.f64 eps (.f64 eps eps)))))
(/.f64 (.f64 eps (+.f64 #s(literal -19683/21952000000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 19683/1404928000000000 binary64))))) (+.f64 #s(literal 729/7840000 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))))
(/.f64 (.f64 eps (-.f64 #s(literal 729/7840000 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 729/12544000000 binary64)))) (-.f64 #s(literal -27/2800 binary64) (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))))
(/.f64 (.f64 (+.f64 #s(literal -19683/21952000000 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 19683/1404928000000000 binary64)))) eps) (+.f64 #s(literal 729/7840000 binary64) (.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 729/7840000 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 729/12544000000 binary64))) eps) (-.f64 #s(literal -27/2800 binary64) (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))))
(.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))))
(.f64 (+.f64 #s(literal -27/2800 binary64) (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))) eps)
(.f64 eps (.f64 eps #s(literal 27/112000 binary64)))
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
(.f64 #s(literal 27/112000 binary64) (.f64 eps eps))
(.f64 (.f64 eps #s(literal 27/112000 binary64)) eps)
(.f64 eps (.f64 eps #s(literal -27/2800 binary64)))
(.f64 (.f64 eps eps) #s(literal -27/2800 binary64))
(.f64 #s(literal -27/2800 binary64) (.f64 eps eps))
(.f64 (.f64 eps #s(literal -27/2800 binary64)) eps)
(+.f64 eps (tan.f64 eps))
(+.f64 (tan.f64 eps) eps)
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (tan.f64 eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (-.f64 eps (tan.f64 eps))))
(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps)) eps)
(fma.f64 (pow.f64 (tan.f64 eps) #s(literal 1/2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 1/2 binary64)) eps)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps))) (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(/.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 (tan.f64 eps) eps))))
(/.f64 (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (-.f64 (.f64 eps eps) (.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
(/.f64 (neg.f64 (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps)))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 eps (tan.f64 eps))))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)) (-.f64 (tan.f64 eps) eps))
(pow.f64 (/.f64 (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps))) (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps)))))
(.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))))
(.f64 (/.f64 (-.f64 (.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 eps (tan.f64 eps)))))
(.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 eps (tan.f64 eps)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (tan.f64 eps))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (tan.f64 eps)) (log.f64 (tan.f64 eps))))
(/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) eps)))))
(/.f64 (*.f64 (tan.f64 eps) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 eps) (tan.f64 eps)) (cos.f64 eps))
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (tan.f64 eps)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (tan.f64 eps)))
(*.f64 (tan.f64 eps) (tan.f64 eps))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) eps)))) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (tan.f64 eps)) (-.f64 #s(literal 0 binary64) (tan.f64 eps)))

simplify227.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

3036×	`-lowering-.f32`
3036×	`-lowering-.f64`
1420×	`fnmadd-define`
1404×	`+-lowering-+.f64`
1404×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	351	2857
1	1139	2375
2	4158	2317
0	8712	2317

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
9/40
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* 9/40 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
(- (+ 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)))
-2
(- (* -9/10 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2)
1
(- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (* -1 (/ (sin eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))) (* -1 (/ (sin eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 3)))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))))
1
(+ 1 (* -1 (/ (- (/ (sin eps) (cos eps)) (sin eps)) eps)))
(+ 1 (* -1 (/ (- (+ (/ (sin eps) (cos eps)) (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps))) eps)) (sin eps)) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (sin eps))) eps)) (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps)))) eps)) (/ (sin eps) (cos eps))) (sin eps)) 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)))
eps
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (pow eps 2))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (* (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps)))))) (/ (* (sin eps) (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))))) (cos eps))) (pow eps 3))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (+ (* -1 (/ (+ (* -1 (/ (* (sin eps) (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (cos eps))) (* (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps)))))) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) eps))) 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 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2)))) (/ (sin eps) (* eps (cos eps)))))
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2)))) (/ (sin eps) (* eps (cos eps)))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (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))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(* -27/2800 (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 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))
(* -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))
(* 2 eps)
(* eps (+ 2 (* 1/3 (pow eps 2))))
(* eps (+ 2 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 2 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
eps
(* eps (+ 1 (/ (sin eps) (* eps (cos eps)))))
(* eps (+ 1 (/ (sin eps) (* eps (cos eps)))))
(* eps (+ 1 (/ (sin eps) (* eps (cos eps)))))
eps
(* -1 (* eps (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))
(* -1 (* eps (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))
(* -1 (* eps (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2/3 (pow eps 2))))
(* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* 17/45 (pow eps 2))))))
(* (pow eps 2) (+ 1 (* (pow eps 2) (+ 2/3 (* (pow eps 2) (+ 17/45 (* 62/315 (pow eps 2))))))))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(/ (pow (sin eps) 2) (pow (cos eps) 2))
(/ (pow (sin eps) 2) (pow (cos eps) 2))

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

eval210.0ms (0.9%)

Compiler: Compiled 52257 to 3963 computations (92.4% saved)

prune182.0ms (0.8%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	1477	5	1482
Fresh	1	3	4
Picked	0	5	5
Done	0	1	1
Total	1478	14	1492

Accuracy

100.0%

Counts

1492 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.3%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal -2 binary64))))))
▶	2.3%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (/.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (+.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))))))
✓	2.7%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))
✓	1.4%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
▶	0.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))))))
	99.9%	(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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))))))))) (-.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 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)))))))))
▶	99.9%	(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 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)))))) (.f64 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 -1/8 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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)))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.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))))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))))
▶	1.0%	(/.f64 (.f64 (.f64 eps eps) (.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)))))))))) (-.f64 eps (tan.f64 eps)))
✓	1.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps))))
	1.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))))))
✓	99.9%	(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
▶	99.7%	(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
✓	99.8%	(+.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))
✓	99.5%	#s(literal -1/2 binary64)

Compiler

Compiled 738 to 303 computations (58.9% saved)

simplify462.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 eps)
✓	cost-diff	0	(-.f64 eps (sin.f64 eps))
✓	cost-diff	6336	(fma.f64 eps (/.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (+.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))))
✓	cost-diff	6336	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (/.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (+.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))))))
✓	cost-diff	0	(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 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 (sin.f64 eps) (.f64 eps (cos.f64 eps))))))
✓	cost-diff	0	(.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)))))))))
✓	cost-diff	0	(*.f64 eps eps)
✓	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 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64))))))))))
✓	cost-diff	0	(/.f64 (.f64 (.f64 eps eps) (.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)))))))))) (-.f64 eps (tan.f64 eps)))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
✓	cost-diff	0	(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 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)))))) (.f64 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)))))))))
✓	cost-diff	0	(+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 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)))))) (.f64 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 -1/8 binary64))
✓	cost-diff	1152	(+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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)))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.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))))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
✓	cost-diff	1152	(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 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)))))) (.f64 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 -1/8 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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)))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.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))))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))))

Rules

3934×	`+-lowering-+.f64`
3934×	`+-lowering-+.f32`
3536×	`-lowering-.f32`
3536×	`-lowering-.f64`
1048×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	630
1	212	567
2	826	566
3	3765	554
0	8102	554

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))) -1/8) (+ (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2)))))
(+ (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))) -1/8)
(* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))))
(* eps (* eps eps))
eps
(* eps eps)
(* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))
(* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))
(+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))
9/40
(* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))
(+ -27/2800 (* (* eps eps) 27/112000))
-27/2800
(* (* eps eps) 27/112000)
27/112000
(* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))
-1/8
(+ (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2))))
(* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))
(- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2)))
1/4
(* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2))
(* (* eps eps) -1/2)
-1/2
(+ (* (* eps eps) 9/40) -1/2)
(* (* eps eps) 9/40)
(* eps eps)
eps
9/40
-1/2
(/ (* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* eps (* eps (+ 1/5040 (* (* eps eps) -1/362880))))))))) (- eps (tan eps)))
(* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* eps (* eps (+ 1/5040 (* (* eps eps) -1/362880)))))))))
(* eps eps)
eps
(* 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))))
(* eps (+ 1/5040 (* (* eps eps) -1/362880)))
(+ 1/5040 (* (* eps eps) -1/362880))
1/5040
(* (* eps eps) -1/362880)
-1/362880
(- eps (tan eps))
(tan eps)
(/ (- eps (sin eps)) (* 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)))
(* eps (cos eps))
(cos eps)
(/ (- eps (sin eps)) (+ (* eps (/ (* eps eps) (+ (* eps eps) (* (tan eps) (+ eps (tan eps)))))) (neg (/ (pow (tan eps) 3) (+ (* eps eps) (* (tan eps) (+ eps (tan eps))))))))
(- eps (sin eps))
eps
(sin eps)
(+ (* eps (/ (* eps eps) (+ (* eps eps) (* (tan eps) (+ eps (tan eps)))))) (neg (/ (pow (tan eps) 3) (+ (* eps eps) (* (tan eps) (+ eps (tan eps)))))))
(/ (* eps eps) (+ (* eps eps) (* (tan eps) (+ eps (tan eps)))))
(* eps eps)
(+ (* eps eps) (* (tan eps) (+ eps (tan eps))))
(* (tan eps) (+ eps (tan eps)))
(tan eps)
(+ eps (tan eps))
(neg (/ (pow (tan eps) 3) (+ (* eps eps) (* (tan eps) (+ eps (tan eps))))))
(/ (pow (tan eps) 3) (+ (* eps eps) (* (tan eps) (+ eps (tan eps)))))
(pow (tan eps) 3)
3

Outputs
(/ (+ (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))) -1/8) (+ (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2)))))
(/.f64 (+.f64 (.f64 (.f64 (+.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))))) (+.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)))))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps (.f64 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 -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps (.f64 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))))))) (-.f64 (.f64 eps (.f64 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)))))
(+ (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))) -1/8)
(+.f64 (.f64 (.f64 (+.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))))) (+.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)))))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps (.f64 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 -1/8 binary64))
(* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))))
(.f64 (.f64 (+.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))))) (+.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)))))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 eps (.f64 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))))))))))
(* eps (* eps eps))
(.f64 eps (.f64 eps eps))
eps
(* eps eps)
(*.f64 eps eps)
(* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))
(.f64 (.f64 (+.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))))) (+.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)))))) (.f64 eps (.f64 eps (.f64 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)))))))))
(* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))
(.f64 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))))))
(+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))
(+.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
#s(literal 9/40 binary64)
(* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))
(.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))
(+ -27/2800 (* (* eps eps) 27/112000))
(+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)))
-27/2800
#s(literal -27/2800 binary64)
(* (* eps eps) 27/112000)
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
27/112000
#s(literal 27/112000 binary64)
(* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))
(.f64 eps (.f64 (+.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))))) (.f64 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))))))))
-1/8
#s(literal -1/8 binary64)
(+ (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2))))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps (.f64 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))))))) (-.f64 (.f64 eps (.f64 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))))
(* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))
(.f64 eps (.f64 (.f64 eps eps) (.f64 (+.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))))) (.f64 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)))))))))
(- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2)))
(+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps (.f64 (+.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)))))
1/4
#s(literal 1/4 binary64)
(* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2))
(.f64 eps (.f64 (+.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))))) (*.f64 eps #s(literal -1/2 binary64))))
(* (* eps eps) -1/2)
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(+ (* (* eps eps) 9/40) -1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps #s(literal 9/40 binary64))))
(* (* eps eps) 9/40)
(.f64 eps (.f64 eps #s(literal 9/40 binary64)))
(* eps eps)
(*.f64 eps eps)
eps
9/40
#s(literal 9/40 binary64)
-1/2
#s(literal -1/2 binary64)
(/ (* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* eps (* eps (+ 1/5040 (* (* eps eps) -1/362880))))))))) (- eps (tan eps)))
(.f64 (+.f64 #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 eps eps)) (-.f64 eps (tan.f64 eps))))
(* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* eps (* eps (+ 1/5040 (* (* eps eps) -1/362880)))))))))
(.f64 (.f64 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 eps (*.f64 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 eps (*.f64 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 eps (.f64 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 eps (.f64 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 eps (.f64 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 eps (.f64 eps #s(literal -1/362880 binary64)))))
(* eps (+ 1/5040 (* (* eps eps) -1/362880)))
(.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 eps (*.f64 eps #s(literal -1/362880 binary64)))))
(+ 1/5040 (* (* eps eps) -1/362880))
(+.f64 #s(literal 1/5040 binary64) (.f64 eps (.f64 eps #s(literal -1/362880 binary64))))
1/5040
#s(literal 1/5040 binary64)
(* (* eps eps) -1/362880)
(.f64 eps (.f64 eps #s(literal -1/362880 binary64)))
-1/362880
#s(literal -1/362880 binary64)
(- eps (tan eps))
(-.f64 eps (tan.f64 eps))
(tan eps)
(tan.f64 eps)
(/ (- eps (sin eps)) (* 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 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (-.f64 #s(literal 0 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)))
(* eps (cos eps))
(*.f64 eps (cos.f64 eps))
(cos eps)
(cos.f64 eps)
(/ (- eps (sin eps)) (+ (* eps (/ (* eps eps) (+ (* eps eps) (* (tan eps) (+ eps (tan eps)))))) (neg (/ (pow (tan eps) 3) (+ (* eps eps) (* (tan eps) (+ eps (tan eps))))))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (/.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))))
(- eps (sin eps))
(-.f64 eps (sin.f64 eps))
eps
(sin eps)
(sin.f64 eps)
(+ (* eps (/ (* eps eps) (+ (* eps eps) (* (tan eps) (+ eps (tan eps)))))) (neg (/ (pow (tan eps) 3) (+ (* eps eps) (* (tan eps) (+ eps (tan eps)))))))
(-.f64 (/.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))))
(/ (* eps eps) (+ (* eps eps) (* (tan eps) (+ eps (tan eps)))))
(/.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))
(* eps eps)
(*.f64 eps eps)
(+ (* eps eps) (* (tan eps) (+ eps (tan eps))))
(+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))
(* (tan eps) (+ eps (tan eps)))
(*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))
(tan eps)
(tan.f64 eps)
(+ eps (tan eps))
(+.f64 eps (tan.f64 eps))
(neg (/ (pow (tan eps) 3) (+ (* eps eps) (* (tan eps) (+ eps (tan eps))))))
(/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (.f64 eps eps)) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))
(/ (pow (tan eps) 3) (+ (* eps eps) (* (tan eps) (+ eps (tan eps)))))
(/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))
(pow (tan eps) 3)
(pow.f64 (tan.f64 eps) #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize1.8s (7.3%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 (tan.f64 eps) #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 eps (tan.f64 eps))
✓	accuracy	99.9%	(fma.f64 eps (/.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (+.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)))))))
✓	accuracy	99.9%	(-.f64 eps (sin.f64 eps))
✓	accuracy	100.0%	(cos.f64 eps)
✓	accuracy	100.0%	(.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps)))))
✓	accuracy	99.9%	(-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))
✓	accuracy	99.9%	(-.f64 eps (sin.f64 eps))
✓	accuracy	100.0%	(tan.f64 eps)
✓	accuracy	100.0%	(.f64 (.f64 eps eps) (.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))))))))))
✓	accuracy	100.0%	(.f64 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))
✓	accuracy	99.9%	(-.f64 eps (tan.f64 eps))
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	100.0%	(.f64 (.f64 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)))))) (.f64 (.f64 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)))))) (.f64 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))))))))
✓	accuracy	100.0%	(.f64 (.f64 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)))))) (.f64 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)))))))
✓	accuracy	100.0%	(.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 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)))))) (.f64 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)))))))))
✓	accuracy	100.0%	(.f64 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))))))

Results

1.6s	254×	5	exit
2.0ms	2×	0	valid

Compiler

Compiled 910 to 62 computations (93.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 892.0ms

backward-pass: 225.0ms (25.2% of total)

ival-tan: 185.0ms (20.7% of total)

ival-mult: 120.0ms (13.4% of total)

ival-sin: 75.0ms (8.4% of total)

ival-cos: 65.0ms (7.3% of total)

...c/correct-round.rkt:119:19: 61.0ms (6.8% of total)

ival-add: 51.0ms (5.7% of total)

ival-div: 41.0ms (4.6% of total)

compiled-spec: 25.0ms (2.8% of total)

ival-sub: 20.0ms (2.2% of total)

ival-pow: 17.0ms (1.9% of total)

ival-neg: 5.0ms (0.6% of total)

const: 2.0ms (0.2% of total)

series27.0ms (0.1%)

Counts

26 → 312

Calls

Call 1

Inputs
#<alt (/ (+ (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))) -1/8) (+ (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2)))))>
#<alt (+ (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2))))>
#<alt (+ (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))) -1/8)>
#<alt (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))))>
#<alt (+ (* (* eps eps) 9/40) -1/2)>
#<alt (* (* eps eps) 9/40)>
#<alt (* eps eps)>
#<alt (/ (* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* eps (* eps (+ 1/5040 (* (* eps eps) -1/362880))))))))) (- eps (tan eps)))>
#<alt (* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* eps (* eps (+ 1/5040 (* (* eps eps) -1/362880)))))))))>
#<alt (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* eps (* eps (+ 1/5040 (* (* eps eps) -1/362880))))))))>
#<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 (sin eps)) (+ (* eps (/ (* eps eps) (+ (* eps eps) (* (tan eps) (+ eps (tan eps)))))) (neg (/ (pow (tan eps) 3) (+ (* eps eps) (* (tan eps) (+ eps (tan eps))))))))>
#<alt (+ (* eps (/ (* eps eps) (+ (* eps eps) (* (tan eps) (+ eps (tan eps)))))) (neg (/ (pow (tan eps) 3) (+ (* eps eps) (* (tan eps) (+ eps (tan eps)))))))>
#<alt (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))>
#<alt (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))>
#<alt (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))>
#<alt (- eps (tan eps))>
#<alt (* eps (* eps (+ 1/5040 (* (* eps eps) -1/362880))))>
#<alt (tan eps)>
#<alt (- 1 (/ (sin eps) (* eps (cos eps))))>
#<alt (cos eps)>
#<alt (+ eps (tan eps))>
#<alt (pow (tan eps) 3)>

Outputs
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))>
#<alt (* 27/112000 (pow eps 6))>
#<alt (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))>
#<alt 1/4>
#<alt (+ 1/4 (* 9/80 (pow eps 2)))>
#<alt (+ 1/4 (* (pow eps 2) (+ 9/80 (* 513/11200 (pow eps 2)))))>
#<alt (+ 1/4 (* (pow eps 2) (+ 9/80 (* (pow eps 2) (+ 513/11200 (* -27/6400 (pow eps 2)))))))>
#<alt (* 729/12544000000 (pow eps 12))>
#<alt (* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 27/6400 (/ 1 (pow eps 6))))))>
#<alt (* 729/12544000000 (pow eps 12))>
#<alt (* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 27/6400 (/ 1 (pow eps 6))))))>
#<alt -1/8>
#<alt (- (* 729/64000 (pow eps 6)) 1/8)>
#<alt (- (* (pow eps 6) (+ 729/64000 (* -6561/4480000 (pow eps 2)))) 1/8)>
#<alt (- (* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* 124659/1254400000 (pow eps 2)) 6561/4480000)))) 1/8)>
#<alt (* 19683/1404928000000000 (pow eps 18))>
#<alt (* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 177147/43904000000 (/ 1 (pow eps 6))))))>
#<alt (* 19683/1404928000000000 (pow eps 18))>
#<alt (* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 177147/43904000000 (/ 1 (pow eps 6))))))>
#<alt (* 729/64000 (pow eps 6))>
#<alt (* (pow eps 6) (+ 729/64000 (* -6561/4480000 (pow eps 2))))>
#<alt (* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* 124659/1254400000 (pow eps 2)) 6561/4480000))))>
#<alt (* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* (pow eps 2) (+ 124659/1254400000 (* -177147/43904000000 (pow eps 2)))) 6561/4480000))))>
#<alt (* 19683/1404928000000000 (pow eps 18))>
#<alt (* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 177147/43904000000 (/ 1 (pow eps 6))))))>
#<alt (* 19683/1404928000000000 (pow eps 18))>
#<alt (* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 177147/43904000000 (/ 1 (pow eps 6))))))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (* 9/40 (pow eps 2))>
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (* 9/40 (pow eps 2))>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt (* -1/362880 (pow eps 8))>
#<alt (* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))>
#<alt (* (pow eps 8) (- (/ 1/5040 (pow eps 2)) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))>
#<alt (* (pow eps 8) (- (+ (/ 1/5040 (pow eps 2)) (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))>
#<alt (* -1/362880 (pow eps 8))>
#<alt (* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))>
#<alt (* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))>
#<alt (* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- (+ 1/5040 (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt (* -1/362880 (pow eps 9))>
#<alt (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* -1/362880 (pow eps 9))>
#<alt (* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))>
#<alt (* 1/6 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 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>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (pow eps 2))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (* (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps)))))) (+ (* -1 (+ (* -1 (/ (* (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (* (sin eps) (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))))) (cos eps)))) (pow eps 3))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps))))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (/ (* (sin eps) (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps)))) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* eps (cos eps)))) (* -1 (/ (* (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (sin eps) (/ (sin eps) (cos eps)))) eps)))) (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps)))) eps))) (/ (sin eps) (cos eps))) 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 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2)))) (/ (sin eps) (* eps (cos eps)))))>
#<alt (* eps (- (+ 1 (* -1 (/ (+ (* -1 (/ (* (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (pow eps 3)))) (+ (* -1 (/ (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 eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))) eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (* (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) eps)) 1)))>
#<alt (* 9/40 eps)>
#<alt (* eps (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))>
#<alt (* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))>
#<alt (* 27/112000 (pow eps 5))>
#<alt (* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))>
#<alt (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))>
#<alt (* 81/1600 (pow eps 2))>
#<alt (* (pow eps 2) (+ 81/1600 (* -243/56000 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000))))>
#<alt (* (pow eps 2) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))))>
#<alt (* 729/12544000000 (pow eps 10))>
#<alt (* (pow eps 10) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 10) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 10) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))>
#<alt (* 729/12544000000 (pow eps 10))>
#<alt (* (pow eps 10) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 10) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 10) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))>
#<alt (* 729/64000 (pow eps 3))>
#<alt (* (pow eps 3) (+ 729/64000 (* -6561/4480000 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 729/64000 (* (pow eps 2) (- (* 124659/1254400000 (pow eps 2)) 6561/4480000))))>
#<alt (* (pow eps 3) (+ 729/64000 (* (pow eps 2) (- (* (pow eps 2) (+ 124659/1254400000 (* -177147/43904000000 (pow eps 2)))) 6561/4480000))))>
#<alt (* 19683/1404928000000000 (pow eps 15))>
#<alt (* (pow eps 15) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 15) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 15) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 177147/43904000000 (/ 1 (pow eps 6))))))>
#<alt (* 19683/1404928000000000 (pow eps 15))>
#<alt (* -1 (* (pow eps 15) (- (* 59049/35123200000000 (/ 1 (pow eps 2))) 19683/1404928000000000)))>
#<alt (* -1 (* (pow eps 15) (- (* 59049/35123200000000 (/ 1 (pow eps 2))) (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))))))>
#<alt (* -1 (* (pow eps 15) (- (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 177147/43904000000 (/ 1 (pow eps 6)))) (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))))))>
#<alt (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* 1/5040 (pow eps 2))>
#<alt (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2))))>
#<alt (* -1/362880 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* -1/362880 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt eps>
#<alt (* eps (+ 1 (* 1/3 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))>
#<alt (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<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>
#<alt (+ 1 (* -1/2 (pow eps 2)))>
#<alt (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))>
#<alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (cos eps)>
#<alt (* 2 eps)>
#<alt (* eps (+ 2 (* 1/3 (pow eps 2))))>
#<alt (* eps (+ 2 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))>
#<alt (* eps (+ 2 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))>
#<alt eps>
#<alt (* eps (+ 1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (* eps (+ 1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (* eps (+ 1 (/ (sin eps) (* eps (cos eps)))))>
#<alt eps>
#<alt (* -1 (* eps (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))>
#<alt (pow eps 3)>
#<alt (* (pow eps 3) (+ 1 (pow eps 2)))>
#<alt (* (pow eps 3) (+ 1 (* (pow eps 2) (+ 1 (* 11/15 (pow eps 2))))))>
#<alt (* (pow eps 3) (+ 1 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 11/15 (* 88/189 (pow eps 2))))))))>
#<alt (/ (pow (sin eps) 3) (pow (cos eps) 3))>
#<alt (/ (pow (sin eps) 3) (pow (cos eps) 3))>
#<alt (/ (pow (sin eps) 3) (pow (cos eps) 3))>
#<alt (/ (pow (sin eps) 3) (pow (cos eps) 3))>
#<alt (/ (pow (sin eps) 3) (pow (cos eps) 3))>
#<alt (/ (pow (sin eps) 3) (pow (cos eps) 3))>
#<alt (/ (pow (sin eps) 3) (pow (cos eps) 3))>
#<alt (/ (pow (sin eps) 3) (pow (cos eps) 3))>

Calls

78 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	inf	(/ (- eps (sin eps)) (+ (* eps (/ (* eps eps) (+ (* eps eps) (* (tan eps) (+ eps (tan eps)))))) (neg (/ (pow (tan eps) 3) (+ (* eps eps) (* (tan eps) (+ eps (tan eps))))))))
3.0ms	eps	@	inf	(/ (+ (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))) -1/8) (+ (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2)))))
2.0ms	eps	@	-inf	(/ (- eps (sin eps)) (+ (* eps (/ (* eps eps) (+ (* eps eps) (* (tan eps) (+ eps (tan eps)))))) (neg (/ (pow (tan eps) 3) (+ (* eps eps) (* (tan eps) (+ eps (tan eps))))))))
1.0ms	eps	@	inf	(/ (- eps (sin eps)) (* eps (- 1 (/ (sin eps) (* eps (cos eps))))))
1.0ms	eps	@	inf	(/ (* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* eps (* eps (+ 1/5040 (* (* eps eps) -1/362880))))))))) (- eps (tan eps)))

rewrite430.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4482×	`-lowering-.f32`
4482×	`-lowering-.f64`
1714×	`/-lowering-/.f32`
1714×	`/-lowering-/.f64`
1590×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	404
1	444	276
2	4439	276
0	8632	276

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 512

Calls

Call 1

Inputs
(/ (+ (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))) -1/8) (+ (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2)))))
(+ (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2))))
(+ (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))) -1/8)
(* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))))
(+ (* (* eps eps) 9/40) -1/2)
(* (* eps eps) 9/40)
(* eps eps)
(/ (* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* eps (* eps (+ 1/5040 (* (* eps eps) -1/362880))))))))) (- eps (tan eps)))
(* (* eps eps) (* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* eps (* eps (+ 1/5040 (* (* eps eps) -1/362880)))))))))
(* eps (+ 1/6 (* (* eps eps) (+ -1/120 (* eps (* eps (+ 1/5040 (* (* eps eps) -1/362880))))))))
(/ (- eps (sin eps)) (* eps (- 1 (/ (sin eps) (* eps (cos eps))))))
(- eps (sin eps))
(sin eps)
(* eps (- 1 (/ (sin eps) (* eps (cos eps)))))
(/ (- eps (sin eps)) (+ (* eps (/ (* eps eps) (+ (* eps eps) (* (tan eps) (+ eps (tan eps)))))) (neg (/ (pow (tan eps) 3) (+ (* eps eps) (* (tan eps) (+ eps (tan eps))))))))
(+ (* eps (/ (* eps eps) (+ (* eps eps) (* (tan eps) (+ eps (tan eps)))))) (neg (/ (pow (tan eps) 3) (+ (* eps eps) (* (tan eps) (+ eps (tan eps)))))))
(* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))
(* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))
(* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))
(- eps (tan eps))
(* eps (* eps (+ 1/5040 (* (* eps eps) -1/362880))))
(tan eps)
(- 1 (/ (sin eps) (* eps (cos eps))))
(cos eps)
(+ eps (tan eps))
(pow (tan eps) 3)

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.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 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))))) (-.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 (.f64 eps #s(literal -1/2 binary64)) (+.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 (+.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 (+.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 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))))) (.f64 eps (*.f64 eps eps)))) #s(literal -1/8 binary64)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 (.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))))))) (.f64 (.f64 (.f64 eps eps) (.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 #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 (.f64 eps eps)))) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.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 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))))) (-.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 (.f64 eps #s(literal -1/2 binary64)) (+.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)))))))))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (neg.f64 (.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))))))) (.f64 (.f64 (.f64 eps eps) (.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 #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 (.f64 eps eps)))))) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.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 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))))) (-.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 (.f64 eps #s(literal -1/2 binary64)) (+.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 (+.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 (+.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 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))))) (.f64 eps (.f64 eps eps)))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.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 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))))) (-.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 (.f64 eps #s(literal -1/2 binary64)) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (.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 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64))))))))) (-.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 (.f64 eps #s(literal -1/2 binary64)) (+.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 (+.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 (+.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 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 eps (.f64 eps #s(literal 27/112000 binary64)))))))) (.f64 eps (.f64 eps eps)))) #s(literal -1/8 binary64))))
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(pow.f64 (/.f64 (cos.f64 eps) (sin.f64 eps)) #s(literal -1 binary64))
(*.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (cos.f64 eps)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 eps) eps)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 eps) eps)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (tan.f64 eps) eps) (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps))))) (/.f64 (pow.f64 (/.f64 (tan.f64 eps) eps) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (tan.f64 eps) eps) (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps))) (/.f64 (pow.f64 (/.f64 (tan.f64 eps) eps) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (tan.f64 eps) eps) (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (tan.f64 eps) eps) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (tan.f64 eps) eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (tan.f64 eps) eps) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (tan.f64 eps) eps) (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (tan.f64 eps) eps) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (tan.f64 eps) eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (tan.f64 eps) eps) (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (tan.f64 eps) eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 eps) eps)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 eps) eps)) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 eps) eps))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 eps) eps))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 eps) eps)) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 eps) eps)))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 eps) eps))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (tan.f64 eps) eps) (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (tan.f64 eps) eps) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (tan.f64 eps) eps) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (tan.f64 eps) eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (tan.f64 eps) eps) (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (tan.f64 eps) eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps))))
(cos.f64 eps)
(+.f64 eps (tan.f64 eps))
(+.f64 (tan.f64 eps) eps)
(-.f64 (/.f64 (*.f64 eps eps) (-.f64 eps (tan.f64 eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (-.f64 eps (tan.f64 eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps))) (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(/.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 (tan.f64 eps) eps))))
(/.f64 (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (-.f64 (.f64 eps eps) (.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 eps (tan.f64 eps))))
(/.f64 (neg.f64 (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)) (-.f64 (tan.f64 eps) eps))
(pow.f64 (/.f64 (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps))) (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps)))))
(.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))))
(.f64 (/.f64 (-.f64 (.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 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 eps (tan.f64 eps)))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (tan.f64 eps))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (tan.f64 eps)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))
(/.f64 (*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (sin.f64 eps)) (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (cos.f64 eps))
(pow.f64 (tan.f64 eps) #s(literal 3 binary64))
(pow.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (tan.f64 eps))) #s(literal 3 binary64))
(*.f64 (tan.f64 eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
(*.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (tan.f64 eps))
(*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cos.f64 eps)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (tan.f64 eps) #s(literal 3/4 binary64)) #s(literal 2 binary64)))

simplify400.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

4416×	`-lowering-.f32`
4416×	`-lowering-.f64`
2364×	`+-lowering-+.f64`
2364×	`+-lowering-+.f32`
1848×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	543	3857
1	1767	3206
2	6336	3191
0	8207	3191

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

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))))))
1/4
(+ 1/4 (* 9/80 (pow eps 2)))
(+ 1/4 (* (pow eps 2) (+ 9/80 (* 513/11200 (pow eps 2)))))
(+ 1/4 (* (pow eps 2) (+ 9/80 (* (pow eps 2) (+ 513/11200 (* -27/6400 (pow eps 2)))))))
(* 729/12544000000 (pow eps 12))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 27/6400 (/ 1 (pow eps 6))))))
(* 729/12544000000 (pow eps 12))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 27/6400 (/ 1 (pow eps 6))))))
-1/8
(- (* 729/64000 (pow eps 6)) 1/8)
(- (* (pow eps 6) (+ 729/64000 (* -6561/4480000 (pow eps 2)))) 1/8)
(- (* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* 124659/1254400000 (pow eps 2)) 6561/4480000)))) 1/8)
(* 19683/1404928000000000 (pow eps 18))
(* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2)))))
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2)))))
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 177147/43904000000 (/ 1 (pow eps 6))))))
(* 19683/1404928000000000 (pow eps 18))
(* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2)))))
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2)))))
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 177147/43904000000 (/ 1 (pow eps 6))))))
(* 729/64000 (pow eps 6))
(* (pow eps 6) (+ 729/64000 (* -6561/4480000 (pow eps 2))))
(* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* 124659/1254400000 (pow eps 2)) 6561/4480000))))
(* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* (pow eps 2) (+ 124659/1254400000 (* -177147/43904000000 (pow eps 2)))) 6561/4480000))))
(* 19683/1404928000000000 (pow eps 18))
(* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2)))))
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2)))))
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 177147/43904000000 (/ 1 (pow eps 6))))))
(* 19683/1404928000000000 (pow eps 18))
(* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2)))))
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2)))))
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 177147/43904000000 (/ 1 (pow eps 6))))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* 9/40 (pow eps 2)) 1/2)
(- (* 9/40 (pow eps 2)) 1/2)
(* 9/40 (pow eps 2))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(* 9/40 (pow eps 2))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
(* (pow eps 8) (- (/ 1/5040 (pow eps 2)) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(* (pow eps 8) (- (+ (/ 1/5040 (pow eps 2)) (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
(* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))
(* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- (+ 1/5040 (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -1/362880 (pow eps 9))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 9))
(* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
(* 1/6 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)))
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
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (pow eps 2))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (* (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps)))))) (+ (* -1 (+ (* -1 (/ (* (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (/ (pow (sin eps) 3) (pow (cos eps) 3))))) (/ (* (sin eps) (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))))) (cos eps)))) (pow eps 3))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps))))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (/ (* (sin eps) (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps)))) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* eps (cos eps)))) (* -1 (/ (* (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (sin eps) (/ (sin eps) (cos eps)))) eps)))) (+ (* -1 (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps)))) eps))) (/ (sin eps) (cos eps))) 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 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (pow eps 2)))) (/ (sin eps) (* eps (cos eps)))))
(* eps (- (+ 1 (* -1 (/ (+ (* -1 (/ (* (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (cos eps))) (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (pow eps 3)))) (+ (* -1 (/ (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)))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (+ (* -1 (/ (sin eps) (cos eps))) (* -1 (/ (+ (* -1 (/ (* (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) (* eps (cos eps)))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) eps)) 1)))
(* 9/40 eps)
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* 27/112000 (pow eps 5))
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 5))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(* 81/1600 (pow eps 2))
(* (pow eps 2) (+ 81/1600 (* -243/56000 (pow eps 2))))
(* (pow eps 2) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000))))
(* (pow eps 2) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))))
(* 729/12544000000 (pow eps 10))
(* (pow eps 10) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 10) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 10) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(* 729/12544000000 (pow eps 10))
(* (pow eps 10) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 10) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 10) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(* 729/64000 (pow eps 3))
(* (pow eps 3) (+ 729/64000 (* -6561/4480000 (pow eps 2))))
(* (pow eps 3) (+ 729/64000 (* (pow eps 2) (- (* 124659/1254400000 (pow eps 2)) 6561/4480000))))
(* (pow eps 3) (+ 729/64000 (* (pow eps 2) (- (* (pow eps 2) (+ 124659/1254400000 (* -177147/43904000000 (pow eps 2)))) 6561/4480000))))
(* 19683/1404928000000000 (pow eps 15))
(* (pow eps 15) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2)))))
(* (pow eps 15) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2)))))
(* (pow eps 15) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 177147/43904000000 (/ 1 (pow eps 6))))))
(* 19683/1404928000000000 (pow eps 15))
(* -1 (* (pow eps 15) (- (* 59049/35123200000000 (/ 1 (pow eps 2))) 19683/1404928000000000)))
(* -1 (* (pow eps 15) (- (* 59049/35123200000000 (/ 1 (pow eps 2))) (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))))))
(* -1 (* (pow eps 15) (- (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 177147/43904000000 (/ 1 (pow eps 6)))) (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))))))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* 1/5040 (pow eps 2))
(* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2))))
(* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2))))
(* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2))))
(* -1/362880 (pow eps 4))
(* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* -1/362880 (pow eps 4))
(* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
eps
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(* -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
(+ 1 (* -1/2 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2)))
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(cos eps)
(* 2 eps)
(* eps (+ 2 (* 1/3 (pow eps 2))))
(* eps (+ 2 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 2 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
eps
(* eps (+ 1 (/ (sin eps) (* eps (cos eps)))))
(* eps (+ 1 (/ (sin eps) (* eps (cos eps)))))
(* eps (+ 1 (/ (sin eps) (* eps (cos eps)))))
eps
(* -1 (* eps (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))
(* -1 (* eps (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))
(* -1 (* eps (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))
(pow eps 3)
(* (pow eps 3) (+ 1 (pow eps 2)))
(* (pow eps 3) (+ 1 (* (pow eps 2) (+ 1 (* 11/15 (pow eps 2))))))
(* (pow eps 3) (+ 1 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 11/15 (* 88/189 (pow eps 2))))))))
(/ (pow (sin eps) 3) (pow (cos eps) 3))
(/ (pow (sin eps) 3) (pow (cos eps) 3))
(/ (pow (sin eps) 3) (pow (cos eps) 3))
(/ (pow (sin eps) 3) (pow (cos eps) 3))
(/ (pow (sin eps) 3) (pow (cos eps) 3))
(/ (pow (sin eps) 3) (pow (cos eps) 3))
(/ (pow (sin eps) 3) (pow (cos eps) 3))
(/ (pow (sin eps) 3) (pow (cos eps) 3))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 9/40 binary64) (.f64 eps eps)))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 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 (/.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)))) (/.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 (/.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)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* 9/80 (pow eps 2)))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 9/80 binary64)))
(+ 1/4 (* (pow eps 2) (+ 9/80 (* 513/11200 (pow eps 2)))))
(+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/80 binary64) (.f64 (.f64 eps eps) #s(literal 513/11200 binary64))))))
(+ 1/4 (* (pow eps 2) (+ 9/80 (* (pow eps 2) (+ 513/11200 (* -27/6400 (pow eps 2)))))))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/80 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 513/11200 binary64) (.f64 (.f64 eps eps) #s(literal -27/6400 binary64))))))))
(* 729/12544000000 (pow eps 12))
(*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 12 binary64)))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (.f64 eps eps))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 3159/15680000 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (.f64 eps eps)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 27/6400 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 #s(literal 729/12544000000 binary64) (-.f64 (/.f64 #s(literal 3159/15680000 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 729/156800000 binary64) (.f64 eps eps)) (/.f64 #s(literal 27/6400 binary64) (pow.f64 eps #s(literal 6 binary64)))))))
(* 729/12544000000 (pow eps 12))
(*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 12 binary64)))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (.f64 eps eps))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 3159/15680000 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (.f64 eps eps)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 27/6400 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 #s(literal 729/12544000000 binary64) (-.f64 (/.f64 #s(literal 3159/15680000 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 729/156800000 binary64) (.f64 eps eps)) (/.f64 #s(literal 27/6400 binary64) (pow.f64 eps #s(literal 6 binary64)))))))
-1/8
#s(literal -1/8 binary64)
(- (* 729/64000 (pow eps 6)) 1/8)
(+.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64))
(- (* (pow eps 6) (+ 729/64000 (* -6561/4480000 (pow eps 2)))) 1/8)
(+.f64 (.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 729/64000 binary64) (.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64)))) #s(literal -1/8 binary64))
(- (* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* 124659/1254400000 (pow eps 2)) 6561/4480000)))) 1/8)
(+.f64 (.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 729/64000 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -6561/4480000 binary64) (.f64 (*.f64 eps eps) #s(literal 124659/1254400000 binary64))))))) #s(literal -1/8 binary64))
(* 19683/1404928000000000 (pow eps 18))
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(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (neg.f64 (.f64 eps (cos.f64 eps))))) (neg.f64 eps))
(* -1 (* eps (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (neg.f64 (.f64 eps (cos.f64 eps))))) (neg.f64 eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(* (pow eps 3) (+ 1 (pow eps 2)))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 (.f64 eps eps) #s(literal 1 binary64)))
(* (pow eps 3) (+ 1 (* (pow eps 2) (+ 1 (* 11/15 (pow eps 2))))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1 binary64) (.f64 (*.f64 eps eps) #s(literal 11/15 binary64)))))))
(* (pow eps 3) (+ 1 (* (pow eps 2) (+ 1 (* (pow eps 2) (+ 11/15 (* 88/189 (pow eps 2))))))))
(.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 11/15 binary64) (.f64 eps (*.f64 eps #s(literal 88/189 binary64))))))))))
(/ (pow (sin eps) 3) (pow (cos eps) 3))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))
(/ (pow (sin eps) 3) (pow (cos eps) 3))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))
(/ (pow (sin eps) 3) (pow (cos eps) 3))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))
(/ (pow (sin eps) 3) (pow (cos eps) 3))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))
(/ (pow (sin eps) 3) (pow (cos eps) 3))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))
(/ (pow (sin eps) 3) (pow (cos eps) 3))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))
(/ (pow (sin eps) 3) (pow (cos eps) 3))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))
(/ (pow (sin eps) 3) (pow (cos eps) 3))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))

eval258.0ms (1.1%)

Compiler: Compiled 103178 to 3639 computations (96.5% saved)

prune143.0ms (0.6%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	1456	5	1461
Fresh	1	2	3
Picked	3	2	5
Done	0	6	6
Total	1460	15	1475

Accuracy

100.0%

Counts

1475 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.3%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal -2 binary64))))))
✓	2.3%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (/.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (+.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))))))
✓	2.7%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))
✓	1.4%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
	0.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps)) eps))
▶	99.9%	(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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))))))))) (-.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 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)))))))))
▶	99.9%	(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 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)))))) (.f64 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 -1/8 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -243/56000 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) #s(literal -729/156800000 binary64))))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))))
▶	99.9%	(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 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)))))) (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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)))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.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))))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))))
▶	99.9%	(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -6561/4480000 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 124659/1254400000 binary64) (.f64 (.f64 eps eps) #s(literal -177147/43904000000 binary64)))))))))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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)))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.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))))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))))
✓	1.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps))))
✓	99.9%	(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
✓	99.7%	(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
✓	99.8%	(+.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))
▶	1.4%	(.f64 eps (.f64 eps (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))) (/.f64 eps (-.f64 eps (tan.f64 eps))))))
✓	99.5%	#s(literal -1/2 binary64)

Compiler

Compiled 1002 to 390 computations (61.1% saved)

simplify239.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64))))))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))) (/.f64 eps (-.f64 eps (tan.f64 eps))))
✓	cost-diff	0	(.f64 eps (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))) (/.f64 eps (-.f64 eps (tan.f64 eps)))))
✓	cost-diff	0	(.f64 eps (.f64 eps (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))) (/.f64 eps (-.f64 eps (tan.f64 eps))))))
✓	cost-diff	0	(.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 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)))))) (.f64 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)))))))))
✓	cost-diff	0	(+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 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)))))) (.f64 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 -1/8 binary64))
✓	cost-diff	256	(+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -243/56000 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) #s(literal -729/156800000 binary64))))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))
✓	cost-diff	256	(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 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)))))) (.f64 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 -1/8 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -243/56000 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) #s(literal -729/156800000 binary64))))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))))
✓	cost-diff	0	(.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -6561/4480000 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 124659/1254400000 binary64) (.f64 (.f64 eps eps) #s(literal -177147/43904000000 binary64))))))))))
✓	cost-diff	0	(+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -6561/4480000 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 124659/1254400000 binary64) (.f64 (.f64 eps eps) #s(literal -177147/43904000000 binary64)))))))))) #s(literal -1/8 binary64))
✓	cost-diff	1152	(+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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)))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.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))))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
✓	cost-diff	1152	(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -6561/4480000 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 124659/1254400000 binary64) (.f64 (.f64 eps eps) #s(literal -177147/43904000000 binary64)))))))))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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)))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.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))))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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))))))))
✓	cost-diff	0	(-.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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)))))))))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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))))))))) (-.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 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)))))))))
✓	cost-diff	0	(.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 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)))))) (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))))
✓	cost-diff	0	(+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 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)))))) (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))) #s(literal -1/8 binary64))
✓	cost-diff	1152	(+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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)))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.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))))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
✓	cost-diff	1152	(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 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)))))) (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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)))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.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))))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))))

Rules

4730×	`-lowering-.f32`
4730×	`-lowering-.f64`
2714×	`+-lowering-+.f64`
2714×	`+-lowering-+.f32`
1724×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	81	1412
1	301	1211
2	1463	1187
3	6944	1187
0	8028	1187

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) -27/2800)))))) -1/8) (+ (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2)))))
(+ (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) -27/2800)))))) -1/8)
(* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) -27/2800))))))
(* eps (* eps eps))
eps
(* eps eps)
(* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) -27/2800)))))
(* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))
(+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))
9/40
(* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))
(+ -27/2800 (* (* eps eps) 27/112000))
-27/2800
(* (* eps eps) 27/112000)
27/112000
(* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) -27/2800))))
(* eps (+ 9/40 (* (* eps eps) -27/2800)))
(+ 9/40 (* (* eps eps) -27/2800))
(* (* eps eps) -27/2800)
-1/8
(+ (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2))))
(* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))
(* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))
(- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2)))
1/4
(* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2))
(* (* eps eps) -1/2)
-1/2
(/ (- 1/4 (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* 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))))))))
(- 1/4 (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))))
1/4
(* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))
(* eps eps)
eps
(* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))
(* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))
(+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))
9/40
(* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))
(+ -27/2800 (* (* eps eps) 27/112000))
-27/2800
(* (* eps eps) 27/112000)
27/112000
(- -1/2 (* 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)) (* eps (* (* eps eps) (+ 729/64000 (* (* eps eps) (+ -6561/4480000 (* (* eps eps) (+ 124659/1254400000 (* (* eps eps) -177147/43904000000))))))))) -1/8) (+ (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2)))))
(+ (* (* eps (* eps eps)) (* eps (* (* eps eps) (+ 729/64000 (* (* eps eps) (+ -6561/4480000 (* (* eps eps) (+ 124659/1254400000 (* (* eps eps) -177147/43904000000))))))))) -1/8)
(* (* eps (* eps eps)) (* eps (* (* eps eps) (+ 729/64000 (* (* eps eps) (+ -6561/4480000 (* (* eps eps) (+ 124659/1254400000 (* (* eps eps) -177147/43904000000)))))))))
(* eps (* eps eps))
eps
(* eps eps)
(* eps (* (* eps eps) (+ 729/64000 (* (* eps eps) (+ -6561/4480000 (* (* eps eps) (+ 124659/1254400000 (* (* eps eps) -177147/43904000000))))))))
(* (* eps eps) (+ 729/64000 (* (* eps eps) (+ -6561/4480000 (* (* eps eps) (+ 124659/1254400000 (* (* eps eps) -177147/43904000000)))))))
(+ 729/64000 (* (* eps eps) (+ -6561/4480000 (* (* eps eps) (+ 124659/1254400000 (* (* eps eps) -177147/43904000000))))))
729/64000
(* (* eps eps) (+ -6561/4480000 (* (* eps eps) (+ 124659/1254400000 (* (* eps eps) -177147/43904000000)))))
(+ -6561/4480000 (* (* eps eps) (+ 124659/1254400000 (* (* eps eps) -177147/43904000000))))
-6561/4480000
(* (* eps eps) (+ 124659/1254400000 (* (* eps eps) -177147/43904000000)))
(+ 124659/1254400000 (* (* eps eps) -177147/43904000000))
124659/1254400000
(* (* eps eps) -177147/43904000000)
-177147/43904000000
-1/8
(+ (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2))))
(* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))
(* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))
(* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))
(+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))
9/40
(* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))
(+ -27/2800 (* (* eps eps) 27/112000))
-27/2800
(* (* eps eps) 27/112000)
27/112000
(- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2)))
1/4
(* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2))
(* (* eps eps) -1/2)
-1/2
(/ (+ (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))) -1/8) (+ (* (* eps eps) (* (* eps eps) (+ 81/1600 (* (* eps eps) (+ -243/56000 (* (* eps eps) (+ 3159/15680000 (* (* eps eps) -729/156800000)))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2)))))
(+ (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))) -1/8)
(* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))))
(* eps (* eps eps))
eps
(* eps eps)
(* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))
(* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))
(+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))
9/40
(* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))
(+ -27/2800 (* (* eps eps) 27/112000))
-27/2800
(* (* eps eps) 27/112000)
27/112000
(* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))
-1/8
(+ (* (* eps eps) (* (* eps eps) (+ 81/1600 (* (* eps eps) (+ -243/56000 (* (* eps eps) (+ 3159/15680000 (* (* eps eps) -729/156800000)))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2))))
(* (* eps eps) (* (* eps eps) (+ 81/1600 (* (* eps eps) (+ -243/56000 (* (* eps eps) (+ 3159/15680000 (* (* eps eps) -729/156800000))))))))
(* (* eps eps) (+ 81/1600 (* (* eps eps) (+ -243/56000 (* (* eps eps) (+ 3159/15680000 (* (* eps eps) -729/156800000)))))))
(+ 81/1600 (* (* eps eps) (+ -243/56000 (* (* eps eps) (+ 3159/15680000 (* (* eps eps) -729/156800000))))))
81/1600
(* (* eps eps) (+ -243/56000 (* (* eps eps) (+ 3159/15680000 (* (* eps eps) -729/156800000)))))
(+ -243/56000 (* (* eps eps) (+ 3159/15680000 (* (* eps eps) -729/156800000))))
-243/56000
(* (* eps eps) (+ 3159/15680000 (* (* eps eps) -729/156800000)))
(+ 3159/15680000 (* (* eps eps) -729/156800000))
3159/15680000
(* (* eps eps) -729/156800000)
-729/156800000
(- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2)))
1/4
(* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2))
(* (* eps eps) -1/2)
-1/2
(* eps (* eps (* (+ 1/6 (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))) (/ eps (- eps (tan eps))))))
eps
(* eps (* (+ 1/6 (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))) (/ eps (- eps (tan eps)))))
(* (+ 1/6 (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))) (/ eps (- eps (tan 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))))))
(* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))
(+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))
-1/120
(* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))
(* eps eps)
(+ 1/5040 (* (* eps eps) -1/362880))
1/5040
(* (* eps eps) -1/362880)
-1/362880
(/ eps (- eps (tan eps)))
(- eps (tan eps))
(tan eps)

Outputs
(/ (+ (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) -27/2800)))))) -1/8) (+ (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2)))))
(/.f64 (+.f64 (.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))))))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64)))) (.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 -1/8 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.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)))))))) (-.f64 #s(literal -1/2 binary64) (.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))))))))))))
(+ (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) -27/2800)))))) -1/8)
(+.f64 (.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))))))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64)))) (.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 -1/8 binary64))
(* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) -27/2800))))))
(.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))))))) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64)))) (.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)))))))))))
(* eps (* eps eps))
(.f64 eps (.f64 eps eps))
eps
(* eps eps)
(*.f64 eps eps)
(* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) -27/2800)))))
(.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))))))) (.f64 (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64)))) (.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))))))))))
(* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))
(.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)))))))
(+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))
(+.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))))))
9/40
#s(literal 9/40 binary64)
(* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))
(.f64 (.f64 eps 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)))
27/112000
#s(literal 27/112000 binary64)
(* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) -27/2800))))
(.f64 (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64)))) (.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)))))))))
(* eps (+ 9/40 (* (* eps eps) -27/2800)))
(.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 eps (*.f64 eps #s(literal -27/2800 binary64)))))
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(.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 (+.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 (.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 (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))
(.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)))))))
(+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))
(+.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))))))
9/40
#s(literal 9/40 binary64)
(* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))
(.f64 (.f64 eps 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)))
27/112000
#s(literal 27/112000 binary64)
(* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))
(.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 (.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)))))))))
-1/8
#s(literal -1/8 binary64)
(+ (* (* eps eps) (* (* eps eps) (+ 81/1600 (* (* eps eps) (+ -243/56000 (* (* eps eps) (+ 3159/15680000 (* (* eps eps) -729/156800000)))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2))))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) (+.f64 (.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)))))) #s(literal 1/2 binary64)) (.f64 (.f64 eps eps) (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -243/56000 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 3159/15680000 binary64) (.f64 (*.f64 eps eps) #s(literal -729/156800000 binary64)))))))))))
(* (* eps eps) (* (* eps eps) (+ 81/1600 (* (* eps eps) (+ -243/56000 (* (* eps eps) (+ 3159/15680000 (* (* eps eps) -729/156800000))))))))
(.f64 (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -243/56000 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) #s(literal -729/156800000 binary64))))))) (.f64 eps (.f64 eps (.f64 eps eps))))
(* (* eps eps) (+ 81/1600 (* (* eps eps) (+ -243/56000 (* (* eps eps) (+ 3159/15680000 (* (* eps eps) -729/156800000)))))))
(.f64 (.f64 eps eps) (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -243/56000 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) #s(literal -729/156800000 binary64))))))))
(+ 81/1600 (* (* eps eps) (+ -243/56000 (* (* eps eps) (+ 3159/15680000 (* (* eps eps) -729/156800000))))))
(+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -243/56000 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) #s(literal -729/156800000 binary64)))))))
81/1600
#s(literal 81/1600 binary64)
(* (* eps eps) (+ -243/56000 (* (* eps eps) (+ 3159/15680000 (* (* eps eps) -729/156800000)))))
(.f64 (.f64 eps eps) (+.f64 #s(literal -243/56000 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) #s(literal -729/156800000 binary64))))))
(+ -243/56000 (* (* eps eps) (+ 3159/15680000 (* (* eps eps) -729/156800000))))
(+.f64 #s(literal -243/56000 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) #s(literal -729/156800000 binary64)))))
-243/56000
#s(literal -243/56000 binary64)
(* (* eps eps) (+ 3159/15680000 (* (* eps eps) -729/156800000)))
(.f64 (.f64 eps eps) (+.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) #s(literal -729/156800000 binary64))))
(+ 3159/15680000 (* (* eps eps) -729/156800000))
(+.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) #s(literal -729/156800000 binary64)))
3159/15680000
#s(literal 3159/15680000 binary64)
(* (* eps eps) -729/156800000)
(.f64 (.f64 eps eps) #s(literal -729/156800000 binary64))
-729/156800000
#s(literal -729/156800000 binary64)
(- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2)))
(+.f64 #s(literal 1/4 binary64) (.f64 eps (.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 #s(literal 1/2 binary64)))))
1/4
#s(literal 1/4 binary64)
(* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2))
(.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)))
(* (* eps eps) -1/2)
(.f64 (.f64 eps eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* eps (* eps (* (+ 1/6 (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))) (/ eps (- eps (tan eps))))))
(.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)))))))) (/.f64 (.f64 eps (*.f64 eps eps)) (-.f64 eps (tan.f64 eps))))
eps
(* eps (* (+ 1/6 (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))) (/ eps (- eps (tan eps)))))
(.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)))))))) (/.f64 (.f64 eps eps) (-.f64 eps (tan.f64 eps))))
(* (+ 1/6 (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))) (/ eps (- eps (tan 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 eps (tan.f64 eps)))
(+ 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 eps (.f64 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 eps (.f64 eps #s(literal -1/362880 binary64)))))))
(* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))
(.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 eps (*.f64 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 eps (.f64 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 eps (.f64 eps #s(literal -1/362880 binary64)))))
(* eps eps)
(*.f64 eps eps)
(+ 1/5040 (* (* eps eps) -1/362880))
(+.f64 #s(literal 1/5040 binary64) (.f64 eps (.f64 eps #s(literal -1/362880 binary64))))
1/5040
#s(literal 1/5040 binary64)
(* (* eps eps) -1/362880)
(.f64 eps (.f64 eps #s(literal -1/362880 binary64)))
-1/362880
#s(literal -1/362880 binary64)
(/ eps (- eps (tan eps)))
(/.f64 eps (-.f64 eps (tan.f64 eps)))
(- eps (tan eps))
(-.f64 eps (tan.f64 eps))
(tan eps)
(tan.f64 eps)

localize1.7s (6.9%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))) (/.f64 eps (-.f64 eps (tan.f64 eps))))
✓	accuracy	86.3%	(/.f64 eps (-.f64 eps (tan.f64 eps)))
✓	accuracy	72.6%	(-.f64 eps (tan.f64 eps))
✓	accuracy	48.9%	(.f64 eps (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))) (/.f64 eps (-.f64 eps (tan.f64 eps)))))
✓	accuracy	99.7%	(.f64 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))))))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) #s(literal -729/156800000 binary64))
✓	accuracy	99.6%	(.f64 (.f64 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)))))) (.f64 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)))))))
✓	accuracy	99.6%	(.f64 (.f64 eps eps) (+.f64 #s(literal -243/56000 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) #s(literal -729/156800000 binary64))))))
✓	accuracy	99.7%	(.f64 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))))))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) (+.f64 #s(literal 124659/1254400000 binary64) (.f64 (.f64 eps eps) #s(literal -177147/43904000000 binary64))))
✓	accuracy	99.6%	(.f64 (.f64 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)))))) (.f64 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)))))))
✓	accuracy	99.6%	(.f64 (.f64 eps eps) #s(literal -177147/43904000000 binary64))
✓	accuracy	99.8%	(.f64 eps (.f64 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)))))))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))
✓	accuracy	99.7%	(.f64 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))))))
✓	accuracy	99.6%	(.f64 (.f64 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)))))) (.f64 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)))))))
✓	accuracy	99.7%	(.f64 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))))))
✓	accuracy	99.7%	(.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))
✓	accuracy	99.6%	(.f64 (.f64 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)))))) (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)))))
✓	accuracy	99.6%	(.f64 (.f64 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)))))) (.f64 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)))))))

Results

694.0ms	132×	2	valid
310.0ms	46×	3	valid
293.0ms	76×	1	valid
3.0ms	2×	0	valid

Compiler

Compiled 2063 to 82 computations (96% saved)

Precisions

Click to see histograms. Total time spent on operations: 666.0ms

ival-tan: 188.0ms (28.2% of total)

backward-pass: 138.0ms (20.7% of total)

ival-mult: 133.0ms (20% of total)

...c/correct-round.rkt:119:19: 126.0ms (18.9% of total)

ival-add: 48.0ms (7.2% of total)

ival-div: 20.0ms (3% of total)

ival-sub: 12.0ms (1.8% of total)

const: 1.0ms (0.2% of total)

series65.0ms (0.3%)

Counts

31 → 372

Calls

Call 1

Inputs
#<alt (/ (+ (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) -27/2800)))))) -1/8) (+ (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2)))))>
#<alt (+ (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2))))>
#<alt (+ (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) -27/2800)))))) -1/8)>
#<alt (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) -27/2800))))))>
#<alt (/ (- 1/4 (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* 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))))))))>
#<alt (- 1/4 (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))))>
#<alt (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))>
#<alt (* eps eps)>
#<alt (/ (+ (* (* eps (* eps eps)) (* eps (* (* eps eps) (+ 729/64000 (* (* eps eps) (+ -6561/4480000 (* (* eps eps) (+ 124659/1254400000 (* (* eps eps) -177147/43904000000))))))))) -1/8) (+ (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2)))))>
#<alt (+ (* (* eps (* eps eps)) (* eps (* (* eps eps) (+ 729/64000 (* (* eps eps) (+ -6561/4480000 (* (* eps eps) (+ 124659/1254400000 (* (* eps eps) -177147/43904000000))))))))) -1/8)>
#<alt (* (* eps (* eps eps)) (* eps (* (* eps eps) (+ 729/64000 (* (* eps eps) (+ -6561/4480000 (* (* eps eps) (+ 124659/1254400000 (* (* eps eps) -177147/43904000000)))))))))>
#<alt (/ (+ (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))) -1/8) (+ (* (* eps eps) (* (* eps eps) (+ 81/1600 (* (* eps eps) (+ -243/56000 (* (* eps eps) (+ 3159/15680000 (* (* eps eps) -729/156800000)))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2)))))>
#<alt (+ (* (* eps eps) (* (* eps eps) (+ 81/1600 (* (* eps eps) (+ -243/56000 (* (* eps eps) (+ 3159/15680000 (* (* eps eps) -729/156800000)))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2))))>
#<alt (+ (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))) -1/8)>
#<alt (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))))>
#<alt (* eps (* eps (* (+ 1/6 (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))) (/ eps (- eps (tan eps))))))>
#<alt (* eps (* (+ 1/6 (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))) (/ eps (- eps (tan eps)))))>
#<alt (* (+ 1/6 (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))) (/ eps (- eps (tan eps))))>
#<alt (+ 1/6 (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))>
#<alt (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))>
#<alt (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) -27/2800))))>
#<alt (* eps (+ 9/40 (* (* eps eps) -27/2800)))>
#<alt (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))>
#<alt (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))>
#<alt (* eps (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))>
#<alt (* (* eps eps) -177147/43904000000)>
#<alt (* (* eps eps) (+ 124659/1254400000 (* (* eps eps) -177147/43904000000)))>
#<alt (* (* eps eps) (+ -243/56000 (* (* eps eps) (+ 3159/15680000 (* (* eps eps) -729/156800000)))))>
#<alt (* (* eps eps) -729/156800000)>
#<alt (- eps (tan eps))>
#<alt (/ eps (- 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 (* -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))) (/ 20 (pow eps 6))) 27/2800))>
#<alt (* (pow eps 4) (- (+ (* 9/40 (/ 1 (pow eps 2))) (+ (* 1000/3 (/ 1 (pow eps 8))) (/ 20 (pow eps 6)))) 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))) (/ 20 (pow eps 6))) 27/2800))>
#<alt (* (pow eps 4) (- (+ (* 9/40 (/ 1 (pow eps 2))) (+ (* 1000/3 (/ 1 (pow eps 8))) (/ 20 (pow eps 6)))) 27/2800))>
#<alt 1/4>
#<alt (+ 1/4 (* 9/80 (pow eps 2)))>
#<alt (+ 1/4 (* (pow eps 2) (+ 9/80 (* 513/11200 (pow eps 2)))))>
#<alt (+ 1/4 (* (pow eps 2) (+ 9/80 (* (pow eps 2) (+ 513/11200 (* -27/6400 (pow eps 2)))))))>
#<alt (* 729/12544000000 (pow eps 12))>
#<alt (* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 27/6400 (/ 1 (pow eps 6))))))>
#<alt (* 729/12544000000 (pow eps 12))>
#<alt (* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 27/6400 (/ 1 (pow eps 6))))))>
#<alt -1/8>
#<alt (- (* 729/64000 (pow eps 6)) 1/8)>
#<alt (- (* (pow eps 6) (+ 729/64000 (* -6561/4480000 (pow eps 2)))) 1/8)>
#<alt (- (* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* 2187/25088000 (pow eps 2)) 6561/4480000)))) 1/8)>
#<alt (* -19683/35123200000000 (pow eps 16))>
#<alt (* (pow eps 16) (- (* 203391/3512320000000 (/ 1 (pow eps 2))) 19683/35123200000000))>
#<alt (* (pow eps 16) (- (* 203391/3512320000000 (/ 1 (pow eps 2))) (+ 19683/35123200000000 (/ 6561/2195200000 (pow eps 4)))))>
#<alt (* (pow eps 16) (- (+ (* 203391/3512320000000 (/ 1 (pow eps 2))) (* 2187/25088000 (/ 1 (pow eps 6)))) (+ 19683/35123200000000 (/ 6561/2195200000 (pow eps 4)))))>
#<alt (* -19683/35123200000000 (pow eps 16))>
#<alt (* (pow eps 16) (- (* 203391/3512320000000 (/ 1 (pow eps 2))) 19683/35123200000000))>
#<alt (* (pow eps 16) (- (* 203391/3512320000000 (/ 1 (pow eps 2))) (+ 19683/35123200000000 (/ 6561/2195200000 (pow eps 4)))))>
#<alt (* (pow eps 16) (- (+ (* 203391/3512320000000 (/ 1 (pow eps 2))) (* 2187/25088000 (/ 1 (pow eps 6)))) (+ 19683/35123200000000 (/ 6561/2195200000 (pow eps 4)))))>
#<alt (* 729/64000 (pow eps 6))>
#<alt (* (pow eps 6) (+ 729/64000 (* -6561/4480000 (pow eps 2))))>
#<alt (* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* 2187/25088000 (pow eps 2)) 6561/4480000))))>
#<alt (* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* (pow eps 2) (+ 2187/25088000 (* -6561/2195200000 (pow eps 2)))) 6561/4480000))))>
#<alt (* -19683/35123200000000 (pow eps 16))>
#<alt (* (pow eps 16) (- (* 203391/3512320000000 (/ 1 (pow eps 2))) 19683/35123200000000))>
#<alt (* (pow eps 16) (- (* 203391/3512320000000 (/ 1 (pow eps 2))) (+ 19683/35123200000000 (/ 6561/2195200000 (pow eps 4)))))>
#<alt (* (pow eps 16) (- (+ (* 203391/3512320000000 (/ 1 (pow eps 2))) (* 2187/25088000 (/ 1 (pow eps 6)))) (+ 19683/35123200000000 (/ 6561/2195200000 (pow eps 4)))))>
#<alt (* -19683/35123200000000 (pow eps 16))>
#<alt (* (pow eps 16) (- (* 203391/3512320000000 (/ 1 (pow eps 2))) 19683/35123200000000))>
#<alt (* (pow eps 16) (- (* 203391/3512320000000 (/ 1 (pow eps 2))) (+ 19683/35123200000000 (/ 6561/2195200000 (pow eps 4)))))>
#<alt (* (pow eps 16) (- (+ (* 203391/3512320000000 (/ 1 (pow eps 2))) (* 2187/25088000 (/ 1 (pow eps 6)))) (+ 19683/35123200000000 (/ 6561/2195200000 (pow eps 4)))))>
#<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 1/4>
#<alt (+ 1/4 (* -81/1600 (pow eps 4)))>
#<alt (+ 1/4 (* (pow eps 4) (- (* 243/56000 (pow eps 2)) 81/1600)))>
#<alt (+ 1/4 (* (pow eps 4) (- (* (pow eps 2) (+ 243/56000 (* -3159/15680000 (pow eps 2)))) 81/1600)))>
#<alt (* -729/12544000000 (pow eps 12))>
#<alt (* (pow eps 12) (- (* 729/156800000 (/ 1 (pow eps 2))) 729/12544000000))>
#<alt (* (pow eps 12) (- (* 729/156800000 (/ 1 (pow eps 2))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4)))))>
#<alt (* (pow eps 12) (- (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6)))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4)))))>
#<alt (* -729/12544000000 (pow eps 12))>
#<alt (* (pow eps 12) (- (* 729/156800000 (/ 1 (pow eps 2))) 729/12544000000))>
#<alt (* (pow eps 12) (- (* 729/156800000 (/ 1 (pow eps 2))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4)))))>
#<alt (* (pow eps 12) (- (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6)))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4)))))>
#<alt (* 81/1600 (pow eps 4))>
#<alt (* (pow eps 4) (+ 81/1600 (* -243/56000 (pow eps 2))))>
#<alt (* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000))))>
#<alt (* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))))>
#<alt (* 729/12544000000 (pow eps 12))>
#<alt (* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))>
#<alt (* 729/12544000000 (pow eps 12))>
#<alt (* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt -486/7>
#<alt (* -1 (+ 486/7 (* 26910/7 (/ 1 (pow eps 2)))))>
#<alt (- (* -1 (/ (+ 26910/7 (* 644400/7 (/ 1 (pow eps 2)))) (pow eps 2))) 486/7)>
#<alt (- (* 7828000/7 (/ 1 (pow eps 6))) (+ 486/7 (+ (* 26910/7 (/ 1 (pow eps 2))) (/ 644400/7 (pow eps 4)))))>
#<alt -486/7>
#<alt (* -1 (+ 486/7 (* 26910/7 (/ 1 (pow eps 2)))))>
#<alt (- (* -1 (/ (+ 26910/7 (* 644400/7 (/ 1 (pow eps 2)))) (pow eps 2))) 486/7)>
#<alt (- (* 7828000/7 (/ 1 (pow eps 6))) (+ 486/7 (+ (* 26910/7 (/ 1 (pow eps 2))) (/ 644400/7 (pow eps 4)))))>
#<alt -1/8>
#<alt (- (* 729/64000 (pow eps 6)) 1/8)>
#<alt (- (* (pow eps 6) (+ 729/64000 (* -6561/4480000 (pow eps 2)))) 1/8)>
#<alt (- (* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* 124659/1254400000 (pow eps 2)) 6561/4480000)))) 1/8)>
#<alt (* -177147/43904000000 (pow eps 12))>
#<alt (* (pow eps 12) (- (* 124659/1254400000 (/ 1 (pow eps 2))) 177147/43904000000))>
#<alt (* (pow eps 12) (- (* 124659/1254400000 (/ 1 (pow eps 2))) (+ 177147/43904000000 (/ 6561/4480000 (pow eps 4)))))>
#<alt (* (pow eps 12) (- (+ (* 124659/1254400000 (/ 1 (pow eps 2))) (* 729/64000 (/ 1 (pow eps 6)))) (+ 177147/43904000000 (/ 6561/4480000 (pow eps 4)))))>
#<alt (* -177147/43904000000 (pow eps 12))>
#<alt (* (pow eps 12) (- (* 124659/1254400000 (/ 1 (pow eps 2))) 177147/43904000000))>
#<alt (* (pow eps 12) (- (* 124659/1254400000 (/ 1 (pow eps 2))) (+ 177147/43904000000 (/ 6561/4480000 (pow eps 4)))))>
#<alt (* (pow eps 12) (- (+ (* 124659/1254400000 (/ 1 (pow eps 2))) (* 729/64000 (/ 1 (pow eps 6)))) (+ 177147/43904000000 (/ 6561/4480000 (pow eps 4)))))>
#<alt (* 729/64000 (pow eps 6))>
#<alt (* (pow eps 6) (+ 729/64000 (* -6561/4480000 (pow eps 2))))>
#<alt (* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* 124659/1254400000 (pow eps 2)) 6561/4480000))))>
#<alt (* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* (pow eps 2) (+ 124659/1254400000 (* -177147/43904000000 (pow eps 2)))) 6561/4480000))))>
#<alt (* -177147/43904000000 (pow eps 12))>
#<alt (* (pow eps 12) (- (* 124659/1254400000 (/ 1 (pow eps 2))) 177147/43904000000))>
#<alt (* (pow eps 12) (- (* 124659/1254400000 (/ 1 (pow eps 2))) (+ 177147/43904000000 (/ 6561/4480000 (pow eps 4)))))>
#<alt (* (pow eps 12) (- (+ (* 124659/1254400000 (/ 1 (pow eps 2))) (* 729/64000 (/ 1 (pow eps 6)))) (+ 177147/43904000000 (/ 6561/4480000 (pow eps 4)))))>
#<alt (* -177147/43904000000 (pow eps 12))>
#<alt (* (pow eps 12) (- (* 124659/1254400000 (/ 1 (pow eps 2))) 177147/43904000000))>
#<alt (* (pow eps 12) (- (* 124659/1254400000 (/ 1 (pow eps 2))) (+ 177147/43904000000 (/ 6561/4480000 (pow eps 4)))))>
#<alt (* (pow eps 12) (- (+ (* 124659/1254400000 (/ 1 (pow eps 2))) (* 729/64000 (/ 1 (pow eps 6)))) (+ 177147/43904000000 (/ 6561/4480000 (pow eps 4)))))>
#<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 (* -27/8960000 (pow eps 8))>
#<alt (* (pow eps 8) (- (* 207/896000 (/ 1 (pow eps 2))) 27/8960000))>
#<alt (* (pow eps 8) (- (* 207/896000 (/ 1 (pow eps 2))) (+ 27/8960000 (/ 13/1280 (pow eps 4)))))>
#<alt (* (pow eps 8) (- (+ (* 207/896000 (/ 1 (pow eps 2))) (* 1013/5376 (/ 1 (pow eps 6)))) (+ 27/8960000 (/ 13/1280 (pow eps 4)))))>
#<alt (* -27/8960000 (pow eps 8))>
#<alt (* (pow eps 8) (- (* 207/896000 (/ 1 (pow eps 2))) 27/8960000))>
#<alt (* (pow eps 8) (- (* 207/896000 (/ 1 (pow eps 2))) (+ 27/8960000 (/ 13/1280 (pow eps 4)))))>
#<alt (* (pow eps 8) (- (+ (* 207/896000 (/ 1 (pow eps 2))) (* 1013/5376 (/ 1 (pow eps 6)))) (+ 27/8960000 (/ 13/1280 (pow eps 4)))))>
#<alt 1/4>
#<alt (+ 1/4 (* 9/80 (pow eps 2)))>
#<alt (+ 1/4 (* (pow eps 2) (+ 9/80 (* 513/11200 (pow eps 2)))))>
#<alt (+ 1/4 (* (pow eps 2) (+ 9/80 (* (pow eps 2) (+ 513/11200 (* -27/6400 (pow eps 2)))))))>
#<alt (* -729/156800000 (pow eps 10))>
#<alt (* (pow eps 10) (- (* 3159/15680000 (/ 1 (pow eps 2))) 729/156800000))>
#<alt (* (pow eps 10) (- (* 3159/15680000 (/ 1 (pow eps 2))) (+ 729/156800000 (/ 27/6400 (pow eps 4)))))>
#<alt (* (pow eps 10) (- (+ (* 3159/15680000 (/ 1 (pow eps 2))) (* 513/11200 (/ 1 (pow eps 6)))) (+ 729/156800000 (/ 27/6400 (pow eps 4)))))>
#<alt (* -729/156800000 (pow eps 10))>
#<alt (* (pow eps 10) (- (* 3159/15680000 (/ 1 (pow eps 2))) 729/156800000))>
#<alt (* (pow eps 10) (- (* 3159/15680000 (/ 1 (pow eps 2))) (+ 729/156800000 (/ 27/6400 (pow eps 4)))))>
#<alt (* (pow eps 10) (- (+ (* 3159/15680000 (/ 1 (pow eps 2))) (* 513/11200 (/ 1 (pow eps 6)))) (+ 729/156800000 (/ 27/6400 (pow eps 4)))))>
#<alt -1/8>
#<alt (- (* 729/64000 (pow eps 6)) 1/8)>
#<alt (- (* (pow eps 6) (+ 729/64000 (* -6561/4480000 (pow eps 2)))) 1/8)>
#<alt (- (* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* 124659/1254400000 (pow eps 2)) 6561/4480000)))) 1/8)>
#<alt (* 19683/1404928000000000 (pow eps 18))>
#<alt (* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 177147/43904000000 (/ 1 (pow eps 6))))))>
#<alt (* 19683/1404928000000000 (pow eps 18))>
#<alt (* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 177147/43904000000 (/ 1 (pow eps 6))))))>
#<alt (* 729/64000 (pow eps 6))>
#<alt (* (pow eps 6) (+ 729/64000 (* -6561/4480000 (pow eps 2))))>
#<alt (* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* 124659/1254400000 (pow eps 2)) 6561/4480000))))>
#<alt (* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* (pow eps 2) (+ 124659/1254400000 (* -177147/43904000000 (pow eps 2)))) 6561/4480000))))>
#<alt (* 19683/1404928000000000 (pow eps 18))>
#<alt (* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 177147/43904000000 (/ 1 (pow eps 6))))))>
#<alt (* 19683/1404928000000000 (pow eps 18))>
#<alt (* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 177147/43904000000 (/ 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 (* -1/362880 (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 (/ -1/2 eps)>
#<alt (/ (- (* 9/40 (pow eps 2)) 1/2) eps)>
#<alt (/ (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) eps)>
#<alt (/ (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) eps)>
#<alt (* -1/362880 (pow eps 7))>
#<alt (* (pow eps 7) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))>
#<alt (* (pow eps 7) (- (/ 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 7) (- (+ (/ 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 7))>
#<alt (* -1 (* (pow eps 7) (+ 1/362880 (* 1/362880 (/ (sin eps) (* eps (cos eps)))))))>
#<alt (* -1 (* (pow eps 7) (+ 1/362880 (* -1 (/ (- (+ (* -1/362880 (/ (sin eps) (cos eps))) (* 1/5040 (/ 1 eps))) (* 1/362880 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) eps)))))>
#<alt (* -1 (* (pow eps 7) (+ 1/362880 (* -1 (/ (+ (* -1 (/ (+ (* -1 (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (* (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)))))>
#<alt (/ -1/2 (pow eps 2))>
#<alt (/ (- (* 9/40 (pow eps 2)) 1/2) (pow eps 2))>
#<alt (/ (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) (pow eps 2))>
#<alt (/ (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) (pow eps 2))>
#<alt (* -1/362880 (pow eps 6))>
#<alt (* (pow eps 6) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))>
#<alt (* (pow eps 6) (- (/ 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 6) (- (+ (/ 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 6))>
#<alt (* (pow eps 6) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))>
#<alt (* (pow eps 6) (- (* -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 6) (- (* -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>
#<alt (+ 1/6 (* -1/120 (pow eps 2)))>
#<alt (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))>
#<alt (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))>
#<alt (* -1/362880 (pow eps 6))>
#<alt (* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* (pow eps 6) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* -1/362880 (pow eps 6))>
#<alt (* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* (pow eps 6) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* 81/1600 (pow eps 2))>
#<alt (* (pow eps 2) (+ 81/1600 (* -243/56000 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000))))>
#<alt (* (pow eps 2) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))))>
#<alt (* 729/12544000000 (pow eps 10))>
#<alt (* (pow eps 10) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 10) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 10) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))>
#<alt (* 729/12544000000 (pow eps 10))>
#<alt (* (pow eps 10) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 10) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 10) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))>
#<alt (* 81/1600 (pow eps 2))>
#<alt (* (pow eps 2) (+ 81/1600 (* -243/56000 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 81/1600 (* (pow eps 2) (- (* 4617/31360000 (pow eps 2)) 243/56000))))>
#<alt (* (pow eps 2) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 4617/31360000 (* -729/313600000 (pow eps 2)))) 243/56000))))>
#<alt (* -729/313600000 (pow eps 8))>
#<alt (* (pow eps 8) (- (* 4617/31360000 (/ 1 (pow eps 2))) 729/313600000))>
#<alt (* (pow eps 8) (- (* 4617/31360000 (/ 1 (pow eps 2))) (+ 729/313600000 (/ 243/56000 (pow eps 4)))))>
#<alt (* (pow eps 8) (- (+ (* 4617/31360000 (/ 1 (pow eps 2))) (* 81/1600 (/ 1 (pow eps 6)))) (+ 729/313600000 (/ 243/56000 (pow eps 4)))))>
#<alt (* -729/313600000 (pow eps 8))>
#<alt (* (pow eps 8) (- (* 4617/31360000 (/ 1 (pow eps 2))) 729/313600000))>
#<alt (* (pow eps 8) (- (* 4617/31360000 (/ 1 (pow eps 2))) (+ 729/313600000 (/ 243/56000 (pow eps 4)))))>
#<alt (* (pow eps 8) (- (+ (* 4617/31360000 (/ 1 (pow eps 2))) (* 81/1600 (/ 1 (pow eps 6)))) (+ 729/313600000 (/ 243/56000 (pow eps 4)))))>
#<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 eps)>
#<alt (* eps (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))>
#<alt (* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))>
#<alt (* 27/112000 (pow eps 5))>
#<alt (* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))>
#<alt (* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))>
#<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 (* 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 (* -177147/43904000000 (pow eps 2))>
#<alt (* -177147/43904000000 (pow eps 2))>
#<alt (* -177147/43904000000 (pow eps 2))>
#<alt (* -177147/43904000000 (pow eps 2))>
#<alt (* -177147/43904000000 (pow eps 2))>
#<alt (* -177147/43904000000 (pow eps 2))>
#<alt (* -177147/43904000000 (pow eps 2))>
#<alt (* -177147/43904000000 (pow eps 2))>
#<alt (* -177147/43904000000 (pow eps 2))>
#<alt (* -177147/43904000000 (pow eps 2))>
#<alt (* -177147/43904000000 (pow eps 2))>
#<alt (* -177147/43904000000 (pow eps 2))>
#<alt (* 124659/1254400000 (pow eps 2))>
#<alt (* (pow eps 2) (+ 124659/1254400000 (* -177147/43904000000 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 124659/1254400000 (* -177147/43904000000 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 124659/1254400000 (* -177147/43904000000 (pow eps 2))))>
#<alt (* -177147/43904000000 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 124659/1254400000 (/ 1 (pow eps 2))) 177147/43904000000))>
#<alt (* (pow eps 4) (- (* 124659/1254400000 (/ 1 (pow eps 2))) 177147/43904000000))>
#<alt (* (pow eps 4) (- (* 124659/1254400000 (/ 1 (pow eps 2))) 177147/43904000000))>
#<alt (* -177147/43904000000 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 124659/1254400000 (/ 1 (pow eps 2))) 177147/43904000000))>
#<alt (* (pow eps 4) (- (* 124659/1254400000 (/ 1 (pow eps 2))) 177147/43904000000))>
#<alt (* (pow eps 4) (- (* 124659/1254400000 (/ 1 (pow eps 2))) 177147/43904000000))>
#<alt (* -243/56000 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))>
#<alt (* -729/156800000 (pow eps 6))>
#<alt (* (pow eps 6) (- (* 3159/15680000 (/ 1 (pow eps 2))) 729/156800000))>
#<alt (* (pow eps 6) (- (* 3159/15680000 (/ 1 (pow eps 2))) (+ 729/156800000 (/ 243/56000 (pow eps 4)))))>
#<alt (* (pow eps 6) (- (* 3159/15680000 (/ 1 (pow eps 2))) (+ 729/156800000 (/ 243/56000 (pow eps 4)))))>
#<alt (* -729/156800000 (pow eps 6))>
#<alt (* (pow eps 6) (- (* 3159/15680000 (/ 1 (pow eps 2))) 729/156800000))>
#<alt (* (pow eps 6) (- (* 3159/15680000 (/ 1 (pow eps 2))) (+ 729/156800000 (/ 243/56000 (pow eps 4)))))>
#<alt (* (pow eps 6) (- (* 3159/15680000 (/ 1 (pow eps 2))) (+ 729/156800000 (/ 243/56000 (pow eps 4)))))>
#<alt (* -729/156800000 (pow eps 2))>
#<alt (* -729/156800000 (pow eps 2))>
#<alt (* -729/156800000 (pow eps 2))>
#<alt (* -729/156800000 (pow eps 2))>
#<alt (* -729/156800000 (pow eps 2))>
#<alt (* -729/156800000 (pow eps 2))>
#<alt (* -729/156800000 (pow eps 2))>
#<alt (* -729/156800000 (pow eps 2))>
#<alt (* -729/156800000 (pow eps 2))>
#<alt (* -729/156800000 (pow eps 2))>
#<alt (* -729/156800000 (pow eps 2))>
#<alt (* -729/156800000 (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 (/ -3 (pow eps 2))>
#<alt (/ (- (* 6/5 (pow eps 2)) 3) (pow eps 2))>
#<alt (/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 2))>
#<alt (/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 2))>
#<alt 1>
#<alt (+ 1 (/ (sin eps) (* eps (cos eps))))>
#<alt (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt 1>
#<alt (+ 1 (/ (sin eps) (* eps (cos eps))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -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)))>

Calls

93 calls:

Time	Variable		Point	Expression
39.0ms	eps	@	0	(+ (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) -27/2800)))))) -1/8)
5.0ms	eps	@	inf	(/ (+ (* (* eps (* eps eps)) (* eps (* (* eps eps) (+ 729/64000 (* (* eps eps) (+ -6561/4480000 (* (* eps eps) (+ 124659/1254400000 (* (* eps eps) -177147/43904000000))))))))) -1/8) (+ (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2)))))
1.0ms	eps	@	inf	(/ (+ (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) -27/2800)))))) -1/8) (+ (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2)))))
1.0ms	eps	@	inf	(/ (+ (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))) -1/8) (+ (* (* eps eps) (* (* eps eps) (+ 81/1600 (* (* eps eps) (+ -243/56000 (* (* eps eps) (+ 3159/15680000 (* (* eps eps) -729/156800000)))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2)))))
0.0ms	eps	@	-inf	(* eps (* (+ 1/6 (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))) (/ eps (- eps (tan eps)))))

rewrite507.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3942×	`-lowering-.f32`
3942×	`-lowering-.f64`
2102×	`fma-lowering-fma.f32`
2102×	`fma-lowering-fma.f64`
1864×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	81	688
1	601	562
2	6007	556
0	8732	556

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 517

Calls

Call 1

Inputs
(/ (+ (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) -27/2800)))))) -1/8) (+ (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2)))))
(+ (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2))))
(+ (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) -27/2800)))))) -1/8)
(* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) -27/2800))))))
(/ (- 1/4 (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* 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))))))))
(- 1/4 (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))))
(* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))
(* eps eps)
(/ (+ (* (* eps (* eps eps)) (* eps (* (* eps eps) (+ 729/64000 (* (* eps eps) (+ -6561/4480000 (* (* eps eps) (+ 124659/1254400000 (* (* eps eps) -177147/43904000000))))))))) -1/8) (+ (* (* eps eps) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2)))))
(+ (* (* eps (* eps eps)) (* eps (* (* eps eps) (+ 729/64000 (* (* eps eps) (+ -6561/4480000 (* (* eps eps) (+ 124659/1254400000 (* (* eps eps) -177147/43904000000))))))))) -1/8)
(* (* eps (* eps eps)) (* eps (* (* eps eps) (+ 729/64000 (* (* eps eps) (+ -6561/4480000 (* (* eps eps) (+ 124659/1254400000 (* (* eps eps) -177147/43904000000)))))))))
(/ (+ (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))) -1/8) (+ (* (* eps eps) (* (* eps eps) (+ 81/1600 (* (* eps eps) (+ -243/56000 (* (* eps eps) (+ 3159/15680000 (* (* eps eps) -729/156800000)))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2)))))
(+ (* (* eps eps) (* (* eps eps) (+ 81/1600 (* (* eps eps) (+ -243/56000 (* (* eps eps) (+ 3159/15680000 (* (* eps eps) -729/156800000)))))))) (- 1/4 (* (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))) (* (* eps eps) -1/2))))
(+ (* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))))) -1/8)
(* (* eps (* eps eps)) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))))
(* eps (* eps (* (+ 1/6 (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))) (/ eps (- eps (tan eps))))))
(* eps (* (+ 1/6 (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))) (/ eps (- eps (tan eps)))))
(* (+ 1/6 (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880))))))) (/ eps (- eps (tan eps))))
(+ 1/6 (* eps (* eps (+ -1/120 (* (* eps eps) (+ 1/5040 (* (* eps eps) -1/362880)))))))
(* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))
(* (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))) (* eps (+ 9/40 (* (* eps eps) -27/2800))))
(* eps (+ 9/40 (* (* eps eps) -27/2800)))
(* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))))
(* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000)))
(* eps (* eps (+ 9/40 (* (* eps eps) (+ -27/2800 (* (* eps eps) 27/112000))))))
(* (* eps eps) -177147/43904000000)
(* (* eps eps) (+ 124659/1254400000 (* (* eps eps) -177147/43904000000)))
(* (* eps eps) (+ -243/56000 (* (* eps eps) (+ 3159/15680000 (* (* eps eps) -729/156800000)))))
(* (* eps eps) -729/156800000)
(- eps (tan eps))
(/ eps (- eps (tan eps)))

Outputs
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simplify435.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

4732×	`-lowering-.f32`
4732×	`-lowering-.f64`
2256×	`+-lowering-+.f64`
2256×	`+-lowering-+.f32`
1422×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	539	4651
1	1600	4087
2	4783	3938
0	8225	3938

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

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)
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (+ (* 9/40 (/ 1 (pow eps 2))) (/ 20 (pow eps 6))) 27/2800))
(* (pow eps 4) (- (+ (* 9/40 (/ 1 (pow eps 2))) (+ (* 1000/3 (/ 1 (pow eps 8))) (/ 20 (pow eps 6)))) 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))) (/ 20 (pow eps 6))) 27/2800))
(* (pow eps 4) (- (+ (* 9/40 (/ 1 (pow eps 2))) (+ (* 1000/3 (/ 1 (pow eps 8))) (/ 20 (pow eps 6)))) 27/2800))
1/4
(+ 1/4 (* 9/80 (pow eps 2)))
(+ 1/4 (* (pow eps 2) (+ 9/80 (* 513/11200 (pow eps 2)))))
(+ 1/4 (* (pow eps 2) (+ 9/80 (* (pow eps 2) (+ 513/11200 (* -27/6400 (pow eps 2)))))))
(* 729/12544000000 (pow eps 12))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 27/6400 (/ 1 (pow eps 6))))))
(* 729/12544000000 (pow eps 12))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 27/6400 (/ 1 (pow eps 6))))))
-1/8
(- (* 729/64000 (pow eps 6)) 1/8)
(- (* (pow eps 6) (+ 729/64000 (* -6561/4480000 (pow eps 2)))) 1/8)
(- (* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* 2187/25088000 (pow eps 2)) 6561/4480000)))) 1/8)
(* -19683/35123200000000 (pow eps 16))
(* (pow eps 16) (- (* 203391/3512320000000 (/ 1 (pow eps 2))) 19683/35123200000000))
(* (pow eps 16) (- (* 203391/3512320000000 (/ 1 (pow eps 2))) (+ 19683/35123200000000 (/ 6561/2195200000 (pow eps 4)))))
(* (pow eps 16) (- (+ (* 203391/3512320000000 (/ 1 (pow eps 2))) (* 2187/25088000 (/ 1 (pow eps 6)))) (+ 19683/35123200000000 (/ 6561/2195200000 (pow eps 4)))))
(* -19683/35123200000000 (pow eps 16))
(* (pow eps 16) (- (* 203391/3512320000000 (/ 1 (pow eps 2))) 19683/35123200000000))
(* (pow eps 16) (- (* 203391/3512320000000 (/ 1 (pow eps 2))) (+ 19683/35123200000000 (/ 6561/2195200000 (pow eps 4)))))
(* (pow eps 16) (- (+ (* 203391/3512320000000 (/ 1 (pow eps 2))) (* 2187/25088000 (/ 1 (pow eps 6)))) (+ 19683/35123200000000 (/ 6561/2195200000 (pow eps 4)))))
(* 729/64000 (pow eps 6))
(* (pow eps 6) (+ 729/64000 (* -6561/4480000 (pow eps 2))))
(* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* 2187/25088000 (pow eps 2)) 6561/4480000))))
(* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* (pow eps 2) (+ 2187/25088000 (* -6561/2195200000 (pow eps 2)))) 6561/4480000))))
(* -19683/35123200000000 (pow eps 16))
(* (pow eps 16) (- (* 203391/3512320000000 (/ 1 (pow eps 2))) 19683/35123200000000))
(* (pow eps 16) (- (* 203391/3512320000000 (/ 1 (pow eps 2))) (+ 19683/35123200000000 (/ 6561/2195200000 (pow eps 4)))))
(* (pow eps 16) (- (+ (* 203391/3512320000000 (/ 1 (pow eps 2))) (* 2187/25088000 (/ 1 (pow eps 6)))) (+ 19683/35123200000000 (/ 6561/2195200000 (pow eps 4)))))
(* -19683/35123200000000 (pow eps 16))
(* (pow eps 16) (- (* 203391/3512320000000 (/ 1 (pow eps 2))) 19683/35123200000000))
(* (pow eps 16) (- (* 203391/3512320000000 (/ 1 (pow eps 2))) (+ 19683/35123200000000 (/ 6561/2195200000 (pow eps 4)))))
(* (pow eps 16) (- (+ (* 203391/3512320000000 (/ 1 (pow eps 2))) (* 2187/25088000 (/ 1 (pow eps 6)))) (+ 19683/35123200000000 (/ 6561/2195200000 (pow eps 4)))))
-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))))))
1/4
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(+ 1/4 (* (pow eps 4) (- (* (pow eps 2) (+ 243/56000 (* -3159/15680000 (pow eps 2)))) 81/1600)))
(* -729/12544000000 (pow eps 12))
(* (pow eps 12) (- (* 729/156800000 (/ 1 (pow eps 2))) 729/12544000000))
(* (pow eps 12) (- (* 729/156800000 (/ 1 (pow eps 2))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4)))))
(* (pow eps 12) (- (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6)))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4)))))
(* -729/12544000000 (pow eps 12))
(* (pow eps 12) (- (* 729/156800000 (/ 1 (pow eps 2))) 729/12544000000))
(* (pow eps 12) (- (* 729/156800000 (/ 1 (pow eps 2))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4)))))
(* (pow eps 12) (- (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6)))) (+ 729/12544000000 (/ 3159/15680000 (pow eps 4)))))
(* 81/1600 (pow eps 4))
(* (pow eps 4) (+ 81/1600 (* -243/56000 (pow eps 2))))
(* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000))))
(* (pow eps 4) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))))
(* 729/12544000000 (pow eps 12))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(* 729/12544000000 (pow eps 12))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
-486/7
(* -1 (+ 486/7 (* 26910/7 (/ 1 (pow eps 2)))))
(- (* -1 (/ (+ 26910/7 (* 644400/7 (/ 1 (pow eps 2)))) (pow eps 2))) 486/7)
(- (* 7828000/7 (/ 1 (pow eps 6))) (+ 486/7 (+ (* 26910/7 (/ 1 (pow eps 2))) (/ 644400/7 (pow eps 4)))))
-486/7
(* -1 (+ 486/7 (* 26910/7 (/ 1 (pow eps 2)))))
(- (* -1 (/ (+ 26910/7 (* 644400/7 (/ 1 (pow eps 2)))) (pow eps 2))) 486/7)
(- (* 7828000/7 (/ 1 (pow eps 6))) (+ 486/7 (+ (* 26910/7 (/ 1 (pow eps 2))) (/ 644400/7 (pow eps 4)))))
-1/8
(- (* 729/64000 (pow eps 6)) 1/8)
(- (* (pow eps 6) (+ 729/64000 (* -6561/4480000 (pow eps 2)))) 1/8)
(- (* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* 124659/1254400000 (pow eps 2)) 6561/4480000)))) 1/8)
(* -177147/43904000000 (pow eps 12))
(* (pow eps 12) (- (* 124659/1254400000 (/ 1 (pow eps 2))) 177147/43904000000))
(* (pow eps 12) (- (* 124659/1254400000 (/ 1 (pow eps 2))) (+ 177147/43904000000 (/ 6561/4480000 (pow eps 4)))))
(* (pow eps 12) (- (+ (* 124659/1254400000 (/ 1 (pow eps 2))) (* 729/64000 (/ 1 (pow eps 6)))) (+ 177147/43904000000 (/ 6561/4480000 (pow eps 4)))))
(* -177147/43904000000 (pow eps 12))
(* (pow eps 12) (- (* 124659/1254400000 (/ 1 (pow eps 2))) 177147/43904000000))
(* (pow eps 12) (- (* 124659/1254400000 (/ 1 (pow eps 2))) (+ 177147/43904000000 (/ 6561/4480000 (pow eps 4)))))
(* (pow eps 12) (- (+ (* 124659/1254400000 (/ 1 (pow eps 2))) (* 729/64000 (/ 1 (pow eps 6)))) (+ 177147/43904000000 (/ 6561/4480000 (pow eps 4)))))
(* 729/64000 (pow eps 6))
(* (pow eps 6) (+ 729/64000 (* -6561/4480000 (pow eps 2))))
(* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* 124659/1254400000 (pow eps 2)) 6561/4480000))))
(* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* (pow eps 2) (+ 124659/1254400000 (* -177147/43904000000 (pow eps 2)))) 6561/4480000))))
(* -177147/43904000000 (pow eps 12))
(* (pow eps 12) (- (* 124659/1254400000 (/ 1 (pow eps 2))) 177147/43904000000))
(* (pow eps 12) (- (* 124659/1254400000 (/ 1 (pow eps 2))) (+ 177147/43904000000 (/ 6561/4480000 (pow eps 4)))))
(* (pow eps 12) (- (+ (* 124659/1254400000 (/ 1 (pow eps 2))) (* 729/64000 (/ 1 (pow eps 6)))) (+ 177147/43904000000 (/ 6561/4480000 (pow eps 4)))))
(* -177147/43904000000 (pow eps 12))
(* (pow eps 12) (- (* 124659/1254400000 (/ 1 (pow eps 2))) 177147/43904000000))
(* (pow eps 12) (- (* 124659/1254400000 (/ 1 (pow eps 2))) (+ 177147/43904000000 (/ 6561/4480000 (pow eps 4)))))
(* (pow eps 12) (- (+ (* 124659/1254400000 (/ 1 (pow eps 2))) (* 729/64000 (/ 1 (pow eps 6)))) (+ 177147/43904000000 (/ 6561/4480000 (pow eps 4)))))
-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)
(* -27/8960000 (pow eps 8))
(* (pow eps 8) (- (* 207/896000 (/ 1 (pow eps 2))) 27/8960000))
(* (pow eps 8) (- (* 207/896000 (/ 1 (pow eps 2))) (+ 27/8960000 (/ 13/1280 (pow eps 4)))))
(* (pow eps 8) (- (+ (* 207/896000 (/ 1 (pow eps 2))) (* 1013/5376 (/ 1 (pow eps 6)))) (+ 27/8960000 (/ 13/1280 (pow eps 4)))))
(* -27/8960000 (pow eps 8))
(* (pow eps 8) (- (* 207/896000 (/ 1 (pow eps 2))) 27/8960000))
(* (pow eps 8) (- (* 207/896000 (/ 1 (pow eps 2))) (+ 27/8960000 (/ 13/1280 (pow eps 4)))))
(* (pow eps 8) (- (+ (* 207/896000 (/ 1 (pow eps 2))) (* 1013/5376 (/ 1 (pow eps 6)))) (+ 27/8960000 (/ 13/1280 (pow eps 4)))))
1/4
(+ 1/4 (* 9/80 (pow eps 2)))
(+ 1/4 (* (pow eps 2) (+ 9/80 (* 513/11200 (pow eps 2)))))
(+ 1/4 (* (pow eps 2) (+ 9/80 (* (pow eps 2) (+ 513/11200 (* -27/6400 (pow eps 2)))))))
(* -729/156800000 (pow eps 10))
(* (pow eps 10) (- (* 3159/15680000 (/ 1 (pow eps 2))) 729/156800000))
(* (pow eps 10) (- (* 3159/15680000 (/ 1 (pow eps 2))) (+ 729/156800000 (/ 27/6400 (pow eps 4)))))
(* (pow eps 10) (- (+ (* 3159/15680000 (/ 1 (pow eps 2))) (* 513/11200 (/ 1 (pow eps 6)))) (+ 729/156800000 (/ 27/6400 (pow eps 4)))))
(* -729/156800000 (pow eps 10))
(* (pow eps 10) (- (* 3159/15680000 (/ 1 (pow eps 2))) 729/156800000))
(* (pow eps 10) (- (* 3159/15680000 (/ 1 (pow eps 2))) (+ 729/156800000 (/ 27/6400 (pow eps 4)))))
(* (pow eps 10) (- (+ (* 3159/15680000 (/ 1 (pow eps 2))) (* 513/11200 (/ 1 (pow eps 6)))) (+ 729/156800000 (/ 27/6400 (pow eps 4)))))
-1/8
(- (* 729/64000 (pow eps 6)) 1/8)
(- (* (pow eps 6) (+ 729/64000 (* -6561/4480000 (pow eps 2)))) 1/8)
(- (* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* 124659/1254400000 (pow eps 2)) 6561/4480000)))) 1/8)
(* 19683/1404928000000000 (pow eps 18))
(* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2)))))
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2)))))
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 177147/43904000000 (/ 1 (pow eps 6))))))
(* 19683/1404928000000000 (pow eps 18))
(* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2)))))
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2)))))
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 177147/43904000000 (/ 1 (pow eps 6))))))
(* 729/64000 (pow eps 6))
(* (pow eps 6) (+ 729/64000 (* -6561/4480000 (pow eps 2))))
(* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* 124659/1254400000 (pow eps 2)) 6561/4480000))))
(* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* (pow eps 2) (+ 124659/1254400000 (* -177147/43904000000 (pow eps 2)))) 6561/4480000))))
(* 19683/1404928000000000 (pow eps 18))
(* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2)))))
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2)))))
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 177147/43904000000 (/ 1 (pow eps 6))))))
(* 19683/1404928000000000 (pow eps 18))
(* (pow eps 18) (- 19683/1404928000000000 (* 59049/35123200000000 (/ 1 (pow eps 2)))))
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (* 59049/35123200000000 (/ 1 (pow eps 2)))))
(* (pow eps 18) (- (+ 19683/1404928000000000 (/ 373977/3512320000000 (pow eps 4))) (+ (* 59049/35123200000000 (/ 1 (pow eps 2))) (* 177147/43904000000 (/ 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)
(* -1/362880 (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))
(/ -1/2 eps)
(/ (- (* 9/40 (pow eps 2)) 1/2) eps)
(/ (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) eps)
(/ (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) eps)
(* -1/362880 (pow eps 7))
(* (pow eps 7) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
(* (pow eps 7) (- (/ 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 7) (- (+ (/ 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 7))
(* -1 (* (pow eps 7) (+ 1/362880 (* 1/362880 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* (pow eps 7) (+ 1/362880 (* -1 (/ (- (+ (* -1/362880 (/ (sin eps) (cos eps))) (* 1/5040 (/ 1 eps))) (* 1/362880 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))) eps)))))
(* -1 (* (pow eps 7) (+ 1/362880 (* -1 (/ (+ (* -1 (/ (+ (* -1 (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* -1 (/ (* (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)))))
(/ -1/2 (pow eps 2))
(/ (- (* 9/40 (pow eps 2)) 1/2) (pow eps 2))
(/ (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2) (pow eps 2))
(/ (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2) (pow eps 2))
(* -1/362880 (pow eps 6))
(* (pow eps 6) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
(* (pow eps 6) (- (/ 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 6) (- (+ (/ 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 6))
(* (pow eps 6) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
(* (pow eps 6) (- (* -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 6) (- (* -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
(+ 1/6 (* -1/120 (pow eps 2)))
(+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))
(+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)))
(* -1/362880 (pow eps 6))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 6) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 6))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 6) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 6) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* 81/1600 (pow eps 2))
(* (pow eps 2) (+ 81/1600 (* -243/56000 (pow eps 2))))
(* (pow eps 2) (+ 81/1600 (* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000))))
(* (pow eps 2) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))))
(* 729/12544000000 (pow eps 10))
(* (pow eps 10) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 10) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 10) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(* 729/12544000000 (pow eps 10))
(* (pow eps 10) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 10) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(* (pow eps 10) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 243/56000 (/ 1 (pow eps 6))))))
(* 81/1600 (pow eps 2))
(* (pow eps 2) (+ 81/1600 (* -243/56000 (pow eps 2))))
(* (pow eps 2) (+ 81/1600 (* (pow eps 2) (- (* 4617/31360000 (pow eps 2)) 243/56000))))
(* (pow eps 2) (+ 81/1600 (* (pow eps 2) (- (* (pow eps 2) (+ 4617/31360000 (* -729/313600000 (pow eps 2)))) 243/56000))))
(* -729/313600000 (pow eps 8))
(* (pow eps 8) (- (* 4617/31360000 (/ 1 (pow eps 2))) 729/313600000))
(* (pow eps 8) (- (* 4617/31360000 (/ 1 (pow eps 2))) (+ 729/313600000 (/ 243/56000 (pow eps 4)))))
(* (pow eps 8) (- (+ (* 4617/31360000 (/ 1 (pow eps 2))) (* 81/1600 (/ 1 (pow eps 6)))) (+ 729/313600000 (/ 243/56000 (pow eps 4)))))
(* -729/313600000 (pow eps 8))
(* (pow eps 8) (- (* 4617/31360000 (/ 1 (pow eps 2))) 729/313600000))
(* (pow eps 8) (- (* 4617/31360000 (/ 1 (pow eps 2))) (+ 729/313600000 (/ 243/56000 (pow eps 4)))))
(* (pow eps 8) (- (+ (* 4617/31360000 (/ 1 (pow eps 2))) (* 81/1600 (/ 1 (pow eps 6)))) (+ 729/313600000 (/ 243/56000 (pow eps 4)))))
(* 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 eps)
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* eps (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* 27/112000 (pow eps 5))
(* (pow eps 5) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 5) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 5))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(* -1 (* (pow eps 5) (- (* 27/2800 (/ 1 (pow eps 2))) (+ 27/112000 (/ 9/40 (pow eps 4))))))
(* -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)))))
(* 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)))))
(* -177147/43904000000 (pow eps 2))
(* -177147/43904000000 (pow eps 2))
(* -177147/43904000000 (pow eps 2))
(* -177147/43904000000 (pow eps 2))
(* -177147/43904000000 (pow eps 2))
(* -177147/43904000000 (pow eps 2))
(* -177147/43904000000 (pow eps 2))
(* -177147/43904000000 (pow eps 2))
(* -177147/43904000000 (pow eps 2))
(* -177147/43904000000 (pow eps 2))
(* -177147/43904000000 (pow eps 2))
(* -177147/43904000000 (pow eps 2))
(* 124659/1254400000 (pow eps 2))
(* (pow eps 2) (+ 124659/1254400000 (* -177147/43904000000 (pow eps 2))))
(* (pow eps 2) (+ 124659/1254400000 (* -177147/43904000000 (pow eps 2))))
(* (pow eps 2) (+ 124659/1254400000 (* -177147/43904000000 (pow eps 2))))
(* -177147/43904000000 (pow eps 4))
(* (pow eps 4) (- (* 124659/1254400000 (/ 1 (pow eps 2))) 177147/43904000000))
(* (pow eps 4) (- (* 124659/1254400000 (/ 1 (pow eps 2))) 177147/43904000000))
(* (pow eps 4) (- (* 124659/1254400000 (/ 1 (pow eps 2))) 177147/43904000000))
(* -177147/43904000000 (pow eps 4))
(* (pow eps 4) (- (* 124659/1254400000 (/ 1 (pow eps 2))) 177147/43904000000))
(* (pow eps 4) (- (* 124659/1254400000 (/ 1 (pow eps 2))) 177147/43904000000))
(* (pow eps 4) (- (* 124659/1254400000 (/ 1 (pow eps 2))) 177147/43904000000))
(* -243/56000 (pow eps 2))
(* (pow eps 2) (- (* 3159/15680000 (pow eps 2)) 243/56000))
(* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))
(* (pow eps 2) (- (* (pow eps 2) (+ 3159/15680000 (* -729/156800000 (pow eps 2)))) 243/56000))
(* -729/156800000 (pow eps 6))
(* (pow eps 6) (- (* 3159/15680000 (/ 1 (pow eps 2))) 729/156800000))
(* (pow eps 6) (- (* 3159/15680000 (/ 1 (pow eps 2))) (+ 729/156800000 (/ 243/56000 (pow eps 4)))))
(* (pow eps 6) (- (* 3159/15680000 (/ 1 (pow eps 2))) (+ 729/156800000 (/ 243/56000 (pow eps 4)))))
(* -729/156800000 (pow eps 6))
(* (pow eps 6) (- (* 3159/15680000 (/ 1 (pow eps 2))) 729/156800000))
(* (pow eps 6) (- (* 3159/15680000 (/ 1 (pow eps 2))) (+ 729/156800000 (/ 243/56000 (pow eps 4)))))
(* (pow eps 6) (- (* 3159/15680000 (/ 1 (pow eps 2))) (+ 729/156800000 (/ 243/56000 (pow eps 4)))))
(* -729/156800000 (pow eps 2))
(* -729/156800000 (pow eps 2))
(* -729/156800000 (pow eps 2))
(* -729/156800000 (pow eps 2))
(* -729/156800000 (pow eps 2))
(* -729/156800000 (pow eps 2))
(* -729/156800000 (pow eps 2))
(* -729/156800000 (pow eps 2))
(* -729/156800000 (pow eps 2))
(* -729/156800000 (pow eps 2))
(* -729/156800000 (pow eps 2))
(* -729/156800000 (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)))
(/ -3 (pow eps 2))
(/ (- (* 6/5 (pow eps 2)) 3) (pow eps 2))
(/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 2))
(/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 2))
1
(+ 1 (/ (sin eps) (* eps (cos eps))))
(- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
1
(+ 1 (/ (sin eps) (* eps (cos eps))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -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)))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 9/40 binary64) (.f64 eps eps)))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)))))))
(* -27/2800 (pow eps 4))
(.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (+ (* 9/40 (/ 1 (pow eps 2))) (/ 20 (pow eps 6))) 27/2800))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (+.f64 (/.f64 #s(literal 20 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal -27/2800 binary64))))
(* (pow eps 4) (- (+ (* 9/40 (/ 1 (pow eps 2))) (+ (* 1000/3 (/ 1 (pow eps 8))) (/ 20 (pow eps 6)))) 27/2800))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (+.f64 (/.f64 #s(literal 1000/3 binary64) (pow.f64 eps #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal 20 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal -27/2800 binary64)))))
(* -27/2800 (pow eps 4))
(.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (+ (* 9/40 (/ 1 (pow eps 2))) (/ 20 (pow eps 6))) 27/2800))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (+.f64 (/.f64 #s(literal 20 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal -27/2800 binary64))))
(* (pow eps 4) (- (+ (* 9/40 (/ 1 (pow eps 2))) (+ (* 1000/3 (/ 1 (pow eps 8))) (/ 20 (pow eps 6)))) 27/2800))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) (+.f64 (/.f64 #s(literal 1000/3 binary64) (pow.f64 eps #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal 20 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal -27/2800 binary64)))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* 9/80 (pow eps 2)))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal 9/80 binary64)))
(+ 1/4 (* (pow eps 2) (+ 9/80 (* 513/11200 (pow eps 2)))))
(+.f64 #s(literal 1/4 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 9/80 binary64) (.f64 (.f64 eps eps) #s(literal 513/11200 binary64))))))
(+ 1/4 (* (pow eps 2) (+ 9/80 (* (pow eps 2) (+ 513/11200 (* -27/6400 (pow eps 2)))))))
(+.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/80 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 513/11200 binary64) (.f64 (.f64 eps eps) #s(literal -27/6400 binary64))))))))
(* 729/12544000000 (pow eps 12))
(*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 12 binary64)))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (.f64 eps eps))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (*.f64 eps eps)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 27/6400 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (*.f64 eps eps)))) (/.f64 #s(literal -27/6400 binary64) (pow.f64 eps #s(literal 6 binary64)))))
(* 729/12544000000 (pow eps 12))
(*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 12 binary64)))
(* (pow eps 12) (- 729/12544000000 (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (.f64 eps eps))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (* 729/156800000 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (*.f64 eps eps)))))
(* (pow eps 12) (- (+ 729/12544000000 (/ 3159/15680000 (pow eps 4))) (+ (* 729/156800000 (/ 1 (pow eps 2))) (* 27/6400 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 12 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.f64 #s(literal 729/12544000000 binary64) (/.f64 #s(literal -729/156800000 binary64) (*.f64 eps eps)))) (/.f64 #s(literal -27/6400 binary64) (pow.f64 eps #s(literal 6 binary64)))))
-1/8
#s(literal -1/8 binary64)
(- (* 729/64000 (pow eps 6)) 1/8)
(+.f64 (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64))
(- (* (pow eps 6) (+ 729/64000 (* -6561/4480000 (pow eps 2)))) 1/8)
(+.f64 (.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 729/64000 binary64) (.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64)))) #s(literal -1/8 binary64))
(- (* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* 2187/25088000 (pow eps 2)) 6561/4480000)))) 1/8)
(+.f64 (.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 729/64000 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -6561/4480000 binary64) (.f64 eps (*.f64 eps #s(literal 2187/25088000 binary64)))))))) #s(literal -1/8 binary64))
(* -19683/35123200000000 (pow eps 16))
(*.f64 #s(literal -19683/35123200000000 binary64) (pow.f64 eps #s(literal 16 binary64)))
(* (pow eps 16) (- (* 203391/3512320000000 (/ 1 (pow eps 2))) 19683/35123200000000))
(.f64 (pow.f64 eps #s(literal 16 binary64)) (+.f64 #s(literal -19683/35123200000000 binary64) (/.f64 #s(literal 203391/3512320000000 binary64) (.f64 eps eps))))
(* (pow eps 16) (- (* 203391/3512320000000 (/ 1 (pow eps 2))) (+ 19683/35123200000000 (/ 6561/2195200000 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 16 binary64)) (+.f64 (+.f64 #s(literal -19683/35123200000000 binary64) (/.f64 #s(literal 203391/3512320000000 binary64) (.f64 eps eps))) (/.f64 #s(literal -6561/2195200000 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 16) (- (+ (* 203391/3512320000000 (/ 1 (pow eps 2))) (* 2187/25088000 (/ 1 (pow eps 6)))) (+ 19683/35123200000000 (/ 6561/2195200000 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 16 binary64)) (+.f64 (/.f64 #s(literal 203391/3512320000000 binary64) (.f64 eps eps)) (+.f64 (+.f64 (/.f64 #s(literal 2187/25088000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal -19683/35123200000000 binary64)) (/.f64 #s(literal -6561/2195200000 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))))
(* -19683/35123200000000 (pow eps 16))
(*.f64 #s(literal -19683/35123200000000 binary64) (pow.f64 eps #s(literal 16 binary64)))
(* (pow eps 16) (- (* 203391/3512320000000 (/ 1 (pow eps 2))) 19683/35123200000000))
(.f64 (pow.f64 eps #s(literal 16 binary64)) (+.f64 #s(literal -19683/35123200000000 binary64) (/.f64 #s(literal 203391/3512320000000 binary64) (.f64 eps eps))))
(* (pow eps 16) (- (* 203391/3512320000000 (/ 1 (pow eps 2))) (+ 19683/35123200000000 (/ 6561/2195200000 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 16 binary64)) (+.f64 (+.f64 #s(literal -19683/35123200000000 binary64) (/.f64 #s(literal 203391/3512320000000 binary64) (.f64 eps eps))) (/.f64 #s(literal -6561/2195200000 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps)))))
(* (pow eps 16) (- (+ (* 203391/3512320000000 (/ 1 (pow eps 2))) (* 2187/25088000 (/ 1 (pow eps 6)))) (+ 19683/35123200000000 (/ 6561/2195200000 (pow eps 4)))))
(.f64 (pow.f64 eps #s(literal 16 binary64)) (+.f64 (/.f64 #s(literal 203391/3512320000000 binary64) (.f64 eps eps)) (+.f64 (+.f64 (/.f64 #s(literal 2187/25088000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal -19683/35123200000000 binary64)) (/.f64 #s(literal -6561/2195200000 binary64) (.f64 (.f64 eps eps) (*.f64 eps eps))))))
(* 729/64000 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64))
(* (pow eps 6) (+ 729/64000 (* -6561/4480000 (pow eps 2))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 729/64000 binary64) (.f64 (*.f64 eps eps) #s(literal -6561/4480000 binary64))))
(* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* 2187/25088000 (pow eps 2)) 6561/4480000))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 729/64000 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -6561/4480000 binary64) (.f64 eps (*.f64 eps #s(literal 2187/25088000 binary64))))))))
(* (pow eps 6) (+ 729/64000 (* (pow eps 2) (- (* (pow eps 2) (+ 2187/25088000 (* -6561/2195200000 (pow eps 2)))) 6561/4480000))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -6561/4480000 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 2187/25088000 binary64) (.f64 (*.f64 eps eps) #s(literal -6561/2195200000 binary64))))))))
(* -19683/35123200000000 (pow eps 16))
(*.f64 #s(literal -19683/35123200000000 binary64) (pow.f64 eps #s(literal 16 binary64)))
(* (pow eps 16) (- (* 203391/3512320000000 (/ 1 (pow eps 2))) 19683/35123200000000))
(.f64 (pow.f64 eps #s(literal 16 binary64)) (+.f64 #s(literal -19683/35123200000000 binary64) (/.f64 #s(literal 203391/3512320000000 binary64) (.f64 eps eps))))
(* (pow eps 16) (- (* 203391/3512320000000 (/ 1 (pow eps 2))) (+ 19683/35123200000000 (/ 6561/2195200000 (pow eps 4)))))
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(* (pow eps 16) (- (+ (* 203391/3512320000000 (/ 1 (pow eps 2))) (* 2187/25088000 (/ 1 (pow eps 6)))) (+ 19683/35123200000000 (/ 6561/2195200000 (pow eps 4)))))
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(* 81/1600 (pow eps 2))
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(* 9/40 eps)
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(+.f64 (.f64 (+.f64 #s(literal 6/5 binary64) (.f64 (.f64 eps eps) #s(literal 1/175 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -3 binary64) (.f64 eps eps)))
(/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 2))
(+.f64 (.f64 (+.f64 #s(literal 6/5 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/175 binary64) (.f64 (.f64 eps eps) #s(literal 2/7875 binary64)))))) #s(literal 1 binary64)) (/.f64 #s(literal -3 binary64) (.f64 eps eps)))
1
#s(literal 1 binary64)
(+ 1 (/ (sin eps) (* eps (cos eps))))
(+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))
(- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.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))
(- (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (/.f64 (+.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)))
1
#s(literal 1 binary64)
(+ 1 (/ (sin eps) (* eps (cos eps))))
(+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.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))
(+ 1 (* -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)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.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) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))

eval745.0ms (3.1%)

Compiler: Compiled 241659 to 5272 computations (97.8% saved)

prune687.0ms (2.8%)

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	2512	4	2516
Fresh	0	2	2
Picked	4	1	5
Done	0	8	8
Total	2516	15	2531

Accuracy

100.0%

Counts

2531 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.3%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal -2 binary64))))))
✓	2.3%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (/.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (+.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))))))
✓	2.7%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))
✓	1.4%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
	0.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps)) eps))
	99.9%	(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 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)))))) (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -243/56000 binary64) (.f64 (.f64 eps eps) #s(literal 3159/15680000 binary64)))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))))
	99.9%	(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 eps eps) (+.f64 #s(literal 81/1600 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -243/56000 binary64) (.f64 (.f64 eps eps) #s(literal 4617/31360000 binary64))))))))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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)))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.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))))) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))))
✓	1.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps))))
✓	99.9%	(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
✓	99.7%	(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
✓	99.8%	(+.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))
	99.2%	(*.f64 eps (/.f64 #s(literal -1/2 binary64) eps))
✓	1.4%	(.f64 eps (.f64 eps (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))) (/.f64 eps (-.f64 eps (tan.f64 eps))))))
	46.1%	(.f64 eps (.f64 eps (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))) (+.f64 (.f64 (+.f64 #s(literal 6/5 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/175 binary64) (.f64 (.f64 eps eps) #s(literal 2/7875 binary64)))))) #s(literal 1 binary64)) (/.f64 #s(literal -3 binary64) (*.f64 eps eps))))))
✓	99.5%	#s(literal -1/2 binary64)

Compiler

Compiled 1440 to 397 computations (72.4% saved)

regimes33.0ms (0.1%)

Counts

24 → 1

Calls

Call 1

Inputs
#s(literal -1/2 binary64)
(*.f64 eps (/.f64 #s(literal -1/2 binary64) eps))
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(+.f64 (.f64 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 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
(.f64 eps (.f64 eps (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))) (+.f64 (.f64 (+.f64 #s(literal 6/5 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/175 binary64) (.f64 (.f64 eps eps) #s(literal 2/7875 binary64)))))) #s(literal 1 binary64)) (/.f64 #s(literal -3 binary64) (*.f64 eps eps))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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))))))))) (-.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 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)))))))))
(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -6561/4480000 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 124659/1254400000 binary64) (.f64 (.f64 eps eps) #s(literal -177147/43904000000 binary64)))))))))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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)))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.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))))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 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)))))) (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -243/56000 binary64) (.f64 (.f64 eps eps) #s(literal 3159/15680000 binary64)))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 eps eps) (+.f64 #s(literal 81/1600 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -243/56000 binary64) (.f64 (.f64 eps eps) #s(literal 4617/31360000 binary64))))))))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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)))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.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))))) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 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)))))) (.f64 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 -1/8 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -243/56000 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 3159/15680000 binary64) (.f64 (.f64 eps eps) #s(literal -729/156800000 binary64))))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 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)))))) (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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)))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.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))))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 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)))))) (.f64 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 -1/8 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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)))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.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))))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))))
(.f64 eps (.f64 eps (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))) (/.f64 eps (-.f64 eps (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 eps (.f64 eps (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))))) (-.f64 eps (tan.f64 eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (.f64 (.f64 eps (.f64 eps eps)) (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (*.f64 eps eps) #s(literal -1/362880 binary64)))))))))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (tan.f64 eps) eps)) eps))
(/.f64 (-.f64 eps (sin.f64 eps)) (.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))))))
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 eps (tan.f64 eps)) (pow.f64 (tan.f64 eps) #s(literal -2 binary64))))))
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (/.f64 (.f64 eps eps) (+.f64 (.f64 eps eps) (.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (+.f64 (.f64 eps eps) (*.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps))))))))

Outputs

(/.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 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)))))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 81/1600 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -243/56000 binary64) (*.f64 (*.f64 eps eps) #s(literal 4617/31360000 binary64))))))))) #s(literal -1/8 binary64)) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 (*.f64 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)))))) (*.f64 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)))))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.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))))) (*.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))))

Calls

2 calls:

24.0ms	eps
6.0ms	(/.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)

regimes6.0ms (0%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal -1/2 binary64)
(*.f64 eps (/.f64 #s(literal -1/2 binary64) eps))
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(+.f64 (.f64 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 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
(.f64 eps (.f64 eps (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))) (+.f64 (.f64 (+.f64 #s(literal 6/5 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/175 binary64) (.f64 (.f64 eps eps) #s(literal 2/7875 binary64)))))) #s(literal 1 binary64)) (/.f64 #s(literal -3 binary64) (*.f64 eps eps))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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))))))))) (-.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 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)))))))))
(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -6561/4480000 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 124659/1254400000 binary64) (.f64 (.f64 eps eps) #s(literal -177147/43904000000 binary64)))))))))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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)))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.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))))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 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)))))) (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -243/56000 binary64) (.f64 (.f64 eps eps) #s(literal 3159/15680000 binary64)))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))))

Outputs

(/.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 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)))))) (*.f64 (*.f64 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)))))) (*.f64 eps (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))))) #s(literal -1/8 binary64)) (+.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal 81/1600 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -243/56000 binary64) (*.f64 (*.f64 eps eps) #s(literal 3159/15680000 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 9/40 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (*.f64 (*.f64 eps eps) #s(literal 27/112000 binary64))))) (*.f64 (*.f64 eps eps) #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)

regimes4.0ms (0%)

Counts

9 → 1

Calls

Call 1

Inputs
#s(literal -1/2 binary64)
(*.f64 eps (/.f64 #s(literal -1/2 binary64) eps))
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(+.f64 (.f64 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 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
(.f64 eps (.f64 eps (.f64 (+.f64 #s(literal 1/6 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 1/5040 binary64) (.f64 (.f64 eps eps) #s(literal -1/362880 binary64)))))))) (+.f64 (.f64 (+.f64 #s(literal 6/5 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal 1/175 binary64) (.f64 (.f64 eps eps) #s(literal 2/7875 binary64)))))) #s(literal 1 binary64)) (/.f64 #s(literal -3 binary64) (*.f64 eps eps))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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))))))))) (-.f64 #s(literal -1/2 binary64) (.f64 eps (.f64 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)))))))))
(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 eps (.f64 (.f64 eps eps) (+.f64 #s(literal 729/64000 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -6561/4480000 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 124659/1254400000 binary64) (.f64 (.f64 eps eps) #s(literal -177147/43904000000 binary64)))))))))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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)))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.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))))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))))

Outputs

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

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

5 → 1

Calls

Call 1

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

2.0ms

eps

Results

Accuracy	Segments	Branch
99.8%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

eps

Results

Accuracy	Segments	Branch
99.7%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.2b remaining (-47.2%)

Threshold costs -0.2b (-47.2%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal -1/2 binary64)

Calls

1 calls:

1.0ms

eps

Results

Accuracy	Segments	Branch
99.5%	1	`eps`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

76×	`*-commutative_binary64`
56×	`+-commutative_binary64`
26×	`sub-neg_binary64`
24×	`neg-sub0_binary64`
24×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	232
1	104	232
2	120	232
3	143	232
4	164	232
5	186	232
6	197	232
7	202	232
8	203	232

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 eps eps) (+.f64 #s(literal 81/1600 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -243/56000 binary64) (.f64 (.f64 eps eps) #s(literal 4617/31360000 binary64))))))))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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)))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.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))))) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 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)))))) (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -243/56000 binary64) (.f64 (.f64 eps eps) #s(literal 3159/15680000 binary64)))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
(+.f64 (.f64 eps (.f64 eps (+.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 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 eps eps) (+.f64 #s(literal 81/1600 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -243/56000 binary64) (.f64 (.f64 eps eps) #s(literal 4617/31360000 binary64))))))))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 eps eps) (.f64 (.f64 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)))))) (.f64 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)))))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.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))))) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 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)))))) (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -243/56000 binary64) (.f64 (.f64 eps eps) #s(literal 3159/15680000 binary64)))))) (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 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)))))) (.f64 (.f64 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)))))) (.f64 eps (+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))))) (+.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.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))))) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #s(literal 81/1600 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal -243/56000 binary64) (.f64 (*.f64 eps eps) #s(literal 3159/15680000 binary64))))))))
(+.f64 (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 27/112000 binary64))))))))
(+.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)

soundness1.3s (5.5%)

Rules

4732×	`-lowering-.f32`
4732×	`-lowering-.f64`
4708×	`-lowering-.f32`
4708×	`-lowering-.f64`
4416×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	543	3857
1	1767	3206
2	6336	3191
0	8207	3191
0	539	4651
1	1600	4087
2	4783	3938
0	8225	3938
0	34	154
1	241	138
2	2221	138
0	8449	138
0	148	547
1	457	472
2	1539	434
3	6918	432
0	8079	432

Stop Event

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

Compiler

Compiled 672 to 205 computations (69.5% saved)

preprocess64.0ms (0.3%)

Remove: (abs eps)
Compiler: Compiled 1562 to 502 computations (67.9% saved)

Iter	Nodes	Cost
0	58	232
1	104	232
2	120	232
3	143	232
4	164	232
5	186	232
6	197	232
7	202	232
8	203	232

Iter	Nodes	Cost
0	58	232
1	104	232
2	120	232
3	143	232
4	164	232
5	186	232
6	197	232
7	202	232
8	203	232

analyze569.0ms (2.3%)

sample9.5s (39.2%)

preprocess91.0ms (0.4%)

explain720.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify116.0ms (0.5%)

localize316.0ms (1.3%)

series4.0ms (0%)

rewrite337.0ms (1.4%)

simplify256.0ms (1.1%)

eval473.0ms (1.9%)

prune64.0ms (0.3%)

simplify159.0ms (0.7%)

localize1.3s (5.2%)

series29.0ms (0.1%)

rewrite439.0ms (1.8%)

simplify227.0ms (0.9%)

eval210.0ms (0.9%)

prune182.0ms (0.8%)

simplify462.0ms (1.9%)

localize1.8s (7.3%)

series27.0ms (0.1%)

rewrite430.0ms (1.8%)

simplify400.0ms (1.6%)

eval258.0ms (1.1%)

prune143.0ms (0.6%)

simplify239.0ms (1%)

localize1.7s (6.9%)

series65.0ms (0.3%)

rewrite507.0ms (2.1%)

simplify435.0ms (1.8%)

eval745.0ms (3.1%)

prune687.0ms (2.8%)

regimes33.0ms (0.1%)

regimes6.0ms (0%)

regimes4.0ms (0%)

regimes6.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify15.0ms (0.1%)

soundness1.3s (5.5%)

preprocess64.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	58	232
1	104	232
2	120	232
3	143	232
4	164	232
5	186	232
6	197	232
7	202	232
8	203	232