Metrics for sintan (problem 3.4.5)

analyze368.0ms (1.8%)

Memory

19.4MiB live, 445.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample9.1s (45.5%)

Memory

93.9MiB live, 10 422.5MiB allocated

Samples

6.7s	4 524×	2	valid
1.1s	1 136×	3	valid
654.0ms	2 470×	1	valid
35.0ms	126×	0	valid

Precisions

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

ival-tan: 4.6s (56.7% of total)

ival-sin: 2.5s (30.5% of total)

ival-sub: 292.0ms (3.6% of total)

adjust: 278.0ms (3.4% of total)

const: 274.0ms (3.4% of total)

ival-div: 102.0ms (1.3% of total)

ival-<=: 75.0ms (0.9% of total)

ival-and: 12.0ms (0.1% of total)

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

Bogosity

preprocess81.0ms (0.4%)

Memory

5.5MiB live, 42.7MiB allocated

Algorithm

1×	egg-herbie

Rules

320×	`lower-fma.f64`
320×	`lower-fma.f32`
192×	`lower-*.f64`
192×	`lower-*.f32`
144×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	29	23
2	78	18
3	239	18
4	501	18
5	688	18
6	705	18
7	743	18
8	772	18
0	6	9
0	11	9
1	18	9
2	28	9
3	45	9
4	79	9
5	151	9
6	326	9
7	624	9
8	928	9
9	943	9
10	944	9
0	944	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(abs eps)

explain586.0ms (2.9%)

Memory

-41.7MiB live, 702.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
162	0	-	1	(1.3520429910999554e-103)	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
95	0	-	0	-	`(-.f64 eps (tan.f64 eps))`
94	1	(0.14697290171015956)	0	-	`(-.f64 eps (sin.f64 eps))`
0	0	-	0	-	`(tan.f64 eps)`
0	0	-	0	-	`eps`
0	0	-	0	-	`(sin.f64 eps)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`	u/u	161	0
↳	`(-.f64 eps (sin.f64 eps))`	underflow	161
↳	`(-.f64 eps (tan.f64 eps))`	underflow	161
`-.f64`	`(-.f64 eps (sin.f64 eps))`	cancellation	95	0
`-.f64`	`(-.f64 eps (tan.f64 eps))`	cancellation	95	0

Confusion

	Predicted +	Predicted -
+	255	0
-	1	0

Precision

0.99609375

Recall

1.0

Confusion?

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

Precision?

0.99609375

Recall?

1.0

Freqs

test

number	freq
1	161
2	95

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

385.0ms	284×	2	valid
89.0ms	56×	3	valid
31.0ms	162×	1	valid
1.0ms	10×	0	valid

Compiler

Compiled 68 to 28 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 465.0ms

ival-tan: 285.0ms (61.3% of total)

ival-sin: 132.0ms (28.4% of total)

ival-div: 19.0ms (4.1% of total)

adjust: 15.0ms (3.2% of total)

ival-sub: 14.0ms (3% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify26.0ms (0.1%)

Memory

12.0MiB live, 50.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

320×	`lower-fma.f64`
320×	`lower-fma.f32`
192×	`lower-*.f64`
192×	`lower-*.f32`
144×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	22
0	11	22
1	18	22
2	28	22
3	45	22
4	79	22
5	151	22
6	326	22
7	624	22
8	928	22
9	943	22
10	944	22
0	944	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize234.0ms (1.2%)

Memory

33.2MiB live, 532.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 eps)
✓	accuracy	67.3%	(-.f64 eps (tan.f64 eps))
✓	accuracy	67.3%	(-.f64 eps (sin.f64 eps))
✓	accuracy	37.5%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Samples

169.0ms	142×	2	valid
30.0ms	28×	3	valid
18.0ms	81×	1	valid
0.0ms	5×	0	valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 199.0ms

ival-tan: 117.0ms (58.9% of total)

ival-sin: 61.0ms (30.7% of total)

ival-sub: 10.0ms (5% of total)

adjust: 7.0ms (3.5% of total)

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

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

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

series14.0ms (0.1%)

Memory

-41.3MiB live, 12.5MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))>
#<alt (-.f64 eps (sin.f64 eps))>
#<alt (sin.f64 eps)>
#<alt (-.f64 eps (tan.f64 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
10.0ms	eps	@	0	(/ (- eps (sin eps)) (- eps (tan eps)))
1.0ms	eps	@	inf	(/ (- eps (sin eps)) (- eps (tan eps)))
1.0ms	eps	@	-inf	(/ (- eps (sin eps)) (- eps (tan eps)))
0.0ms	eps	@	inf	(- eps (tan eps))
0.0ms	eps	@	-inf	(- eps (tan eps))

rewrite320.0ms (1.6%)

Memory

37.1MiB live, 579.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 318×	`lower-*.f64`
4 318×	`lower-*.f32`
3 264×	`lower-/.f32`
3 262×	`lower-/.f64`
2 758×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
0	11	19
1	51	19
2	408	19
3	5947	19
0	8258	19

Stop Event

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

Counts

4 → 419

Calls

Call 1

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

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

simplify386.0ms (1.9%)

Memory

-12.1MiB live, 506.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 288×	`lower-fma.f64`
12 288×	`lower-fma.f32`
6 122×	`lower-*.f64`
6 122×	`lower-*.f32`
1 424×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 43

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

eval45.0ms (0.2%)

Memory: 11.3MiB live, 127.8MiB allocated
Compiler: Compiled 12 434 to 1 225 computations (90.1% saved)

prune72.0ms (0.4%)

Memory

-28.9MiB live, 182.6MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	449	13	462
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	449	14	463

Accuracy

100.0%

Counts

463 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
	99.7%	(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
	99.4%	(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
▶	1.8%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))))
	3.5%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (.f64 eps eps) (/.f64 eps (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))))))
	3.5%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))
	1.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps))
	1.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))
	2.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (.f64 (+.f64 eps (tan.f64 eps)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))
✓	2.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
▶	2.0%	(/.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps)))
▶	2.1%	(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64))) (-.f64 eps (tan.f64 eps)))
	2.1%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
▶	98.7%	#s(literal -1/2 binary64)

Compiler

Compiled 578 to 292 computations (49.5% saved)

simplify328.0ms (1.6%)

Memory

12.9MiB live, 361.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	320	(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))
✓	cost-diff	384	(*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))
✓	cost-diff	6272	(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64)))
✓	cost-diff	22656	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))))
✓	cost-diff	0	(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64))) (-.f64 eps (tan.f64 eps)))
✓	cost-diff	448	(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64))
✓	cost-diff	576	(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps))))
✓	cost-diff	12800	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 eps (.f64 eps eps))
✓	cost-diff	0	(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
✓	cost-diff	0	(/.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps)))
✓	cost-diff	0	(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
✓	cost-diff	0	(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))

Rules

8 148×	`lower-fma.f32`
8 136×	`lower-fma.f64`
4 524×	`lower-*.f32`
4 506×	`lower-*.f64`
1 992×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	321
0	73	285
1	181	284
2	525	266
3	1862	265
4	6772	265
0	8203	265

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(*.f64 eps eps)
eps
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(*.f64 eps #s(literal 27/112000 binary64))
#s(literal 27/112000 binary64)
#s(literal -27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
#s(literal -1/2 binary64)
(/.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps)))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(.f64 eps (.f64 eps eps))
eps
(*.f64 eps eps)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))
#s(literal -1/362880 binary64)
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
#s(literal 1/6 binary64)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64))) (-.f64 eps (tan.f64 eps)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64)))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64))
(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps))))
(/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)))
#s(literal 1 binary64)
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
#s(literal -1 binary64)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))))
(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))
#s(literal 1 binary64)
(/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))
(-.f64 eps (tan.f64 eps))
eps
(tan.f64 eps)
(sin.f64 eps)
(*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))
(/.f64 (-.f64 eps (tan.f64 eps)) eps)
(*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))

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

localize709.0ms (3.5%)

Memory

22.6MiB live, 1 062.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	85.5%	(/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))
✓	accuracy	76.3%	(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64)))
✓	accuracy	67.3%	(-.f64 eps (tan.f64 eps))
✓	accuracy	27.6%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))))
✓	accuracy	67.3%	(-.f64 eps (tan.f64 eps))
✓	accuracy	67.3%	(-.f64 eps (sin.f64 eps))
✓	accuracy	37.6%	(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps))))
✓	accuracy	37.5%	(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64))) (-.f64 eps (tan.f64 eps)))
✓	accuracy	99.9%	(.f64 eps (.f64 eps eps))
✓	accuracy	99.8%	(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
✓	accuracy	67.3%	(-.f64 eps (tan.f64 eps))
✓	accuracy	37.5%	(/.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps)))
✓	accuracy	100.0%	(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
✓	accuracy	100.0%	(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
✓	accuracy	100.0%	(*.f64 eps #s(literal 27/112000 binary64))
✓	accuracy	99.4%	(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))

Samples

388.0ms	109×	3	valid
128.0ms	76×	2	valid
91.0ms	67×	1	valid
2.0ms	4×	0	valid

Compiler

Compiled 342 to 47 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 547.0ms

ival-tan: 204.0ms (37.3% of total)

ival-sin: 94.0ms (17.2% of total)

ival-mult: 90.0ms (16.5% of total)

const: 45.0ms (8.2% of total)

adjust: 40.0ms (7.3% of total)

ival-div: 27.0ms (4.9% of total)

ival-add: 14.0ms (2.6% of total)

ival-sub: 11.0ms (2% of total)

ival-log: 11.0ms (2% of total)

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

exact: 1.0ms (0.2% of total)

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

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

series31.0ms (0.2%)

Memory

-24.3MiB live, 53.8MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))>
#<alt (*.f64 eps eps)>
#<alt (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))>
#<alt (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))>
#<alt (/.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps)))>
#<alt (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))>
#<alt (.f64 eps (.f64 eps eps))>
#<alt (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64)))>
#<alt (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps))))>
#<alt (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64))>
#<alt (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64))) (-.f64 eps (tan.f64 eps)))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))))>
#<alt (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64)))>
#<alt (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))>
#<alt (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))>
#<alt (*.f64 eps #s(literal 27/112000 binary64))>
#<alt (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))>
#<alt (-.f64 eps (tan.f64 eps))>
#<alt (-.f64 eps (sin.f64 eps))>
#<alt (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 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 (* 27/112000 (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 (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 (* -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 -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 (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<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 (+ (log 6) (* -3 (log eps)))>
#<alt (+ (log 6) (+ (* -3 (log eps)) (* 1/20 (pow eps 2))))>
#<alt (+ (log 6) (+ (* -3 (log eps)) (* (pow eps 2) (+ 1/20 (* 1/16800 (pow eps 2))))))>
#<alt (+ (log 6) (+ (* -3 (log eps)) (* (pow eps 2) (+ 1/20 (* (pow eps 2) (+ 1/16800 (* -1/756000 (pow eps 2))))))))>
#<alt (log (/ 1 eps))>
#<alt (+ (log (/ 1 eps)) (/ (sin eps) eps))>
#<alt (+ (log (/ 1 eps)) (+ (* 1/2 (/ (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))) (pow eps 2))) (/ (sin eps) eps)))>
#<alt (+ (log (/ 1 eps)) (+ (* 1/6 (/ (+ (* -6 (pow (sin eps) 3)) (+ (* 2 (pow (sin eps) 3)) (* 6 (pow (sin eps) 3)))) (pow eps 3))) (+ (* 1/2 (/ (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))) (pow eps 2))) (/ (sin eps) eps))))>
#<alt (+ (log -1) (log (/ -1 eps)))>
#<alt (+ (log -1) (+ (log (/ -1 eps)) (/ (sin eps) eps)))>
#<alt (+ (log -1) (+ (log (/ -1 eps)) (* -1 (/ (+ (* -1 (sin eps)) (* -1/2 (/ (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))) eps))) eps))))>
#<alt (+ (log -1) (+ (log (/ -1 eps)) (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow (sin eps) 3)) (+ (* -2 (pow (sin eps) 3)) (* 6 (pow (sin eps) 3)))) eps)) (* 1/2 (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))))) eps))) eps))))>
#<alt (* -1 (+ (log 6) (* -3 (log eps))))>
#<alt (+ (* -1 (+ (log 6) (* -3 (log eps)))) (* -1/20 (pow eps 2)))>
#<alt (+ (* -1 (+ (log 6) (* -3 (log eps)))) (* (pow eps 2) (- (* -1/16800 (pow eps 2)) 1/20)))>
#<alt (+ (* -1 (+ (log 6) (* -3 (log eps)))) (* (pow eps 2) (- (* (pow eps 2) (- (* 1/756000 (pow eps 2)) 1/16800)) 1/20)))>
#<alt (* -1 (log (/ 1 eps)))>
#<alt (+ (* -1 (log (/ 1 eps))) (* -1 (/ (sin eps) eps)))>
#<alt (+ (* -1 (log (/ 1 eps))) (+ (* -1 (/ (sin eps) eps)) (* -1/2 (/ (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))) (pow eps 2)))))>
#<alt (+ (* -1 (log (/ 1 eps))) (+ (* -1 (/ (sin eps) eps)) (+ (* -1/2 (/ (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))) (pow eps 2))) (* -1/6 (/ (+ (* -6 (pow (sin eps) 3)) (+ (* 2 (pow (sin eps) 3)) (* 6 (pow (sin eps) 3)))) (pow eps 3))))))>
#<alt (* -1 (+ (log -1) (log (/ -1 eps))))>
#<alt (+ (* -1 (+ (log -1) (log (/ -1 eps)))) (* -1 (/ (sin eps) eps)))>
#<alt (+ (* -1 (+ (log -1) (log (/ -1 eps)))) (* -1 (/ (+ (sin eps) (* 1/2 (/ (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))) eps))) eps)))>
#<alt (+ (* -1 (+ (log -1) (log (/ -1 eps)))) (* -1 (/ (+ (sin eps) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2)))) (* 1/6 (/ (+ (* -6 (pow (sin eps) 3)) (+ (* -2 (pow (sin eps) 3)) (* 6 (pow (sin eps) 3)))) eps))) eps))) eps)))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt (- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) (pow eps 3))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* eps (cos eps)))))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (* -1 (/ (+ (* 2 (/ (* (sin eps) (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) eps))) eps))) eps)))>
#<alt (* -1/18 (pow eps 4))>
#<alt (* (pow eps 4) (- (* -31/1080 (pow eps 2)) 1/18))>
#<alt (* (pow eps 4) (- (* (pow eps 2) (- (* -2783/226800 (pow eps 2)) 31/1080)) 1/18))>
#<alt (* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -27421/5443200 (pow eps 2)) 2783/226800)) 31/1080)) 1/18))>
#<alt (/ eps (sin eps))>
#<alt (* eps (+ (* -1 (/ (+ 1 (/ 1 (cos eps))) eps)) (/ 1 (sin eps))))>
#<alt (* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (cos eps)))) (+ (/ 1 eps) (/ 1 (* eps (cos eps))))))>
#<alt (* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (cos eps)))) (+ (/ 1 eps) (/ 1 (* eps (cos eps))))))>
#<alt (/ eps (sin eps))>
#<alt (* -1 (* eps (- (+ (/ 1 eps) (/ 1 (* eps (cos eps)))) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ 1 (cos eps)))) eps)) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ 1 (cos eps)))) eps)) (/ 1 (sin eps)))))>
#<alt (* 1/9 (pow eps 4))>
#<alt (* (pow eps 4) (+ 1/9 (* 29/270 (pow eps 2))))>
#<alt (* (pow eps 4) (+ 1/9 (* (pow eps 2) (+ 29/270 (* 8021/113400 (pow eps 2))))))>
#<alt (* (pow eps 4) (+ 1/9 (* (pow eps 2) (+ 29/270 (* (pow eps 2) (+ 8021/113400 (* 3877/97200 (pow eps 2))))))))>
#<alt (/ eps (sin eps))>
#<alt (* eps (- (/ 1 (sin eps)) (* 2 (/ 1 (* eps (cos eps))))))>
#<alt (* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (pow (cos eps) 2)))) (/ 2 (* eps (cos eps)))))>
#<alt (* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (pow (cos eps) 2)))) (/ 2 (* eps (cos eps)))))>
#<alt (/ eps (sin eps))>
#<alt (* -1 (* eps (- (* 2 (/ 1 (* eps (cos eps)))) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (pow (cos eps) 2))) (* 2 (/ 1 (cos eps)))) eps)) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (pow (cos eps) 2))) (* 2 (/ 1 (cos eps)))) eps)) (/ 1 (sin eps)))))>
#<alt (* -1/3 (pow eps 2))>
#<alt (* (pow eps 2) (- (* -17/90 (pow eps 2)) 1/3))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (- (* -125/1512 (pow eps 2)) 17/90)) 1/3))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2581/75600 (pow eps 2)) 125/1512)) 17/90)) 1/3))>
#<alt (/ eps (sin eps))>
#<alt (* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))>
#<alt (* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))>
#<alt (* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))>
#<alt (/ eps (sin eps))>
#<alt (* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt (* 27/112000 eps)>
#<alt -27/2800>
#<alt (- (* 27/112000 (pow eps 2)) 27/2800)>
#<alt (- (* 27/112000 (pow eps 2)) 27/2800)>
#<alt (- (* 27/112000 (pow eps 2)) 27/2800)>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 2))>
#<alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1/3 (pow eps 2))>
#<alt (* (pow eps 2) (- (* -17/90 (pow eps 2)) 1/3))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (- (* -125/1512 (pow eps 2)) 17/90)) 1/3))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2581/75600 (pow eps 2)) 125/1512)) 17/90)) 1/3))>
#<alt (/ eps (sin eps))>
#<alt (* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))>
#<alt (* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))>
#<alt (* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))>
#<alt (/ eps (sin eps))>
#<alt (* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))>

Calls

60 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	inf	(* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/362880) 1/5040)) -1/120)) 1/6))
3.0ms	eps	@	0	(/ (- (* 1 (/ (- eps (tan eps)) (sin eps))) (* (/ (- eps (tan eps)) eps) 1)) (* (/ (- eps (tan eps)) eps) (/ (- eps (tan eps)) (sin eps))))
2.0ms	eps	@	-inf	(/ (- (* 1 (/ (- eps (tan eps)) (sin eps))) (* (/ (- eps (tan eps)) eps) 1)) (* (/ (- eps (tan eps)) eps) (/ (- eps (tan eps)) (sin eps))))
2.0ms	eps	@	inf	(/ (- (* 1 (/ (- eps (tan eps)) (sin eps))) (* (/ (- eps (tan eps)) eps) 1)) (* (/ (- eps (tan eps)) eps) (/ (- eps (tan eps)) (sin eps))))
1.0ms	eps	@	-inf	(* (/ (- eps (tan eps)) eps) (/ (- eps (tan eps)) (sin eps)))

rewrite394.0ms (2%)

Memory

52.3MiB live, 635.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 732×	`lower-/.f32`
4 720×	`lower-/.f64`
4 118×	`lower-*.f32`
4 118×	`lower-fma.f32`
4 106×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	231
0	73	197
1	343	176
2	2961	174
0	9436	174

Stop Event

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

Counts

20 → 921

Calls

Call 1

Inputs
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(*.f64 eps eps)
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
(/.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps)))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(.f64 eps (.f64 eps eps))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps))))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64))
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64))) (-.f64 eps (tan.f64 eps)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))))
(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))
(*.f64 eps #s(literal 27/112000 binary64))
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(-.f64 eps (tan.f64 eps))
(-.f64 eps (sin.f64 eps))
(/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))

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

simplify487.0ms (2.4%)

Memory

-20.0MiB live, 622.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 692×	`lower-fma.f64`
8 692×	`lower-fma.f32`
5 376×	`lower-*.f64`
5 376×	`lower-*.f32`
4 096×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	519	3371
1	1495	3225
2	4775	3168
0	8463	3017

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 234

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))))))
(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)))))
(* -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)))
-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)))))))
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(* 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)))
(+ (log 6) (* -3 (log eps)))
(+ (log 6) (+ (* -3 (log eps)) (* 1/20 (pow eps 2))))
(+ (log 6) (+ (* -3 (log eps)) (* (pow eps 2) (+ 1/20 (* 1/16800 (pow eps 2))))))
(+ (log 6) (+ (* -3 (log eps)) (* (pow eps 2) (+ 1/20 (* (pow eps 2) (+ 1/16800 (* -1/756000 (pow eps 2))))))))
(log (/ 1 eps))
(+ (log (/ 1 eps)) (/ (sin eps) eps))
(+ (log (/ 1 eps)) (+ (* 1/2 (/ (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))) (pow eps 2))) (/ (sin eps) eps)))
(+ (log (/ 1 eps)) (+ (* 1/6 (/ (+ (* -6 (pow (sin eps) 3)) (+ (* 2 (pow (sin eps) 3)) (* 6 (pow (sin eps) 3)))) (pow eps 3))) (+ (* 1/2 (/ (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))) (pow eps 2))) (/ (sin eps) eps))))
(+ (log -1) (log (/ -1 eps)))
(+ (log -1) (+ (log (/ -1 eps)) (/ (sin eps) eps)))
(+ (log -1) (+ (log (/ -1 eps)) (* -1 (/ (+ (* -1 (sin eps)) (* -1/2 (/ (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))) eps))) eps))))
(+ (log -1) (+ (log (/ -1 eps)) (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow (sin eps) 3)) (+ (* -2 (pow (sin eps) 3)) (* 6 (pow (sin eps) 3)))) eps)) (* 1/2 (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))))) eps))) eps))))
(* -1 (+ (log 6) (* -3 (log eps))))
(+ (* -1 (+ (log 6) (* -3 (log eps)))) (* -1/20 (pow eps 2)))
(+ (* -1 (+ (log 6) (* -3 (log eps)))) (* (pow eps 2) (- (* -1/16800 (pow eps 2)) 1/20)))
(+ (* -1 (+ (log 6) (* -3 (log eps)))) (* (pow eps 2) (- (* (pow eps 2) (- (* 1/756000 (pow eps 2)) 1/16800)) 1/20)))
(* -1 (log (/ 1 eps)))
(+ (* -1 (log (/ 1 eps))) (* -1 (/ (sin eps) eps)))
(+ (* -1 (log (/ 1 eps))) (+ (* -1 (/ (sin eps) eps)) (* -1/2 (/ (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))) (pow eps 2)))))
(+ (* -1 (log (/ 1 eps))) (+ (* -1 (/ (sin eps) eps)) (+ (* -1/2 (/ (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))) (pow eps 2))) (* -1/6 (/ (+ (* -6 (pow (sin eps) 3)) (+ (* 2 (pow (sin eps) 3)) (* 6 (pow (sin eps) 3)))) (pow eps 3))))))
(* -1 (+ (log -1) (log (/ -1 eps))))
(+ (* -1 (+ (log -1) (log (/ -1 eps)))) (* -1 (/ (sin eps) eps)))
(+ (* -1 (+ (log -1) (log (/ -1 eps)))) (* -1 (/ (+ (sin eps) (* 1/2 (/ (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))) eps))) eps)))
(+ (* -1 (+ (log -1) (log (/ -1 eps)))) (* -1 (/ (+ (sin eps) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2)))) (* 1/6 (/ (+ (* -6 (pow (sin eps) 3)) (+ (* -2 (pow (sin eps) 3)) (* 6 (pow (sin eps) 3)))) eps))) eps))) eps)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) (pow eps 3))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
1
(- (+ 1 (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* eps (cos eps)))))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (* -1 (/ (+ (* 2 (/ (* (sin eps) (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) eps))) eps))) eps)))
(* -1/18 (pow eps 4))
(* (pow eps 4) (- (* -31/1080 (pow eps 2)) 1/18))
(* (pow eps 4) (- (* (pow eps 2) (- (* -2783/226800 (pow eps 2)) 31/1080)) 1/18))
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -27421/5443200 (pow eps 2)) 2783/226800)) 31/1080)) 1/18))
(/ eps (sin eps))
(* eps (+ (* -1 (/ (+ 1 (/ 1 (cos eps))) eps)) (/ 1 (sin eps))))
(* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (cos eps)))) (+ (/ 1 eps) (/ 1 (* eps (cos eps))))))
(* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (cos eps)))) (+ (/ 1 eps) (/ 1 (* eps (cos eps))))))
(/ eps (sin eps))
(* -1 (* eps (- (+ (/ 1 eps) (/ 1 (* eps (cos eps)))) (/ 1 (sin eps)))))
(* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ 1 (cos eps)))) eps)) (/ 1 (sin eps)))))
(* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ 1 (cos eps)))) eps)) (/ 1 (sin eps)))))
(* 1/9 (pow eps 4))
(* (pow eps 4) (+ 1/9 (* 29/270 (pow eps 2))))
(* (pow eps 4) (+ 1/9 (* (pow eps 2) (+ 29/270 (* 8021/113400 (pow eps 2))))))
(* (pow eps 4) (+ 1/9 (* (pow eps 2) (+ 29/270 (* (pow eps 2) (+ 8021/113400 (* 3877/97200 (pow eps 2))))))))
(/ eps (sin eps))
(* eps (- (/ 1 (sin eps)) (* 2 (/ 1 (* eps (cos eps))))))
(* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (pow (cos eps) 2)))) (/ 2 (* eps (cos eps)))))
(* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (pow (cos eps) 2)))) (/ 2 (* eps (cos eps)))))
(/ eps (sin eps))
(* -1 (* eps (- (* 2 (/ 1 (* eps (cos eps)))) (/ 1 (sin eps)))))
(* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (pow (cos eps) 2))) (* 2 (/ 1 (cos eps)))) eps)) (/ 1 (sin eps)))))
(* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (pow (cos eps) 2))) (* 2 (/ 1 (cos eps)))) eps)) (/ 1 (sin eps)))))
(* -1/3 (pow eps 2))
(* (pow eps 2) (- (* -17/90 (pow eps 2)) 1/3))
(* (pow eps 2) (- (* (pow eps 2) (- (* -125/1512 (pow eps 2)) 17/90)) 1/3))
(* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2581/75600 (pow eps 2)) 125/1512)) 17/90)) 1/3))
(/ eps (sin eps))
(* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))
(* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))
(* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))
(/ eps (sin eps))
(* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))
(* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))
(* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
(* 27/112000 eps)
-27/2800
(- (* 27/112000 (pow eps 2)) 27/2800)
(- (* 27/112000 (pow eps 2)) 27/2800)
(- (* 27/112000 (pow eps 2)) 27/2800)
(* 27/112000 (pow eps 2))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 2))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1/3 (pow eps 2))
(* (pow eps 2) (- (* -17/90 (pow eps 2)) 1/3))
(* (pow eps 2) (- (* (pow eps 2) (- (* -125/1512 (pow eps 2)) 17/90)) 1/3))
(* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2581/75600 (pow eps 2)) 125/1512)) 17/90)) 1/3))
(/ eps (sin eps))
(* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))
(* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))
(* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))
(/ eps (sin eps))
(* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))
(* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))
(* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.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)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 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 (+.f64 #s(literal 27/112000 binary64) (/.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 (+.f64 #s(literal 27/112000 binary64) (/.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))))))
(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)))
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(* 27/112000 (pow eps 4))
(.f64 #s(literal 27/112000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #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 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.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 4))
(.f64 #s(literal 27/112000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.f64 #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 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) (+.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)))))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(.f64 eps (fma.f64 eps (.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)))
(* 27/112000 (pow eps 3))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* 27/112000 (pow eps 3))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(.f64 (.f64 eps eps) (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.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)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(* -1/362880 (pow eps 8))
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 8 binary64)))
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
(.f64 (pow.f64 eps #s(literal 8 binary64)) (fma.f64 #s(literal -1/362880 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))) #s(literal -1/362880 binary64)))
(* (pow eps 8) (- (/ 1/5040 (pow eps 2)) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(.f64 (pow.f64 eps #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps)) (fma.f64 #s(literal -1/362880 binary64) (+.f64 (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (*.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) #s(literal -1/362880 binary64))))
(* (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))))))))
(.f64 (pow.f64 eps #s(literal 8 binary64)) (+.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/5040 binary64)) (/.f64 (sin.f64 eps) (.f64 eps (.f64 eps (.f64 eps (cos.f64 eps))))) (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps))) (fma.f64 #s(literal -1/362880 binary64) (+.f64 (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) #s(literal -1/362880 binary64))))
(* -1/362880 (pow eps 8))
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 8 binary64)))
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
(.f64 (pow.f64 eps #s(literal 8 binary64)) (fma.f64 #s(literal -1/362880 binary64) (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))) #s(literal -1/362880 binary64)))
(* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))
(.f64 (pow.f64 eps #s(literal 8 binary64)) (+.f64 #s(literal -1/362880 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/362880 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/5040 binary64)) eps) (/.f64 (.f64 #s(literal -1/362880 binary64) (sin.f64 eps)) (cos.f64 eps))) eps)))
(* (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))
(.f64 (pow.f64 eps #s(literal 8 binary64)) (-.f64 #s(literal -1/362880 binary64) (/.f64 (-.f64 (/.f64 (.f64 (sin.f64 eps) #s(literal 1/362880 binary64)) (cos.f64 eps)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/5040 binary64)) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (fma.f64 #s(literal -1/362880 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) #s(literal 1/5040 binary64))) eps)) eps)))
(* 1/6 (pow eps 3))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(* -1/362880 (pow eps 9))
(*.f64 #s(literal -1/362880 binary64) (pow.f64 eps #s(literal 9 binary64)))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps))))
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eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
(* 1/6 (pow eps 3))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(-.f64 eps (*.f64 (/.f64 (sin.f64 eps) eps) eps))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(-.f64 eps (*.f64 (/.f64 (sin.f64 eps) eps) eps))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(-.f64 eps (*.f64 (/.f64 (sin.f64 eps) eps) eps))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(-.f64 eps (*.f64 (/.f64 (sin.f64 eps) eps) eps))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(-.f64 eps (*.f64 (/.f64 (sin.f64 eps) eps) eps))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(-.f64 eps (*.f64 (/.f64 (sin.f64 eps) eps) eps))
(* -1/3 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -1/3 binary64))
(* (pow eps 2) (- (* -17/90 (pow eps 2)) 1/3))
(.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal -17/90 binary64) #s(literal -1/3 binary64))))
(* (pow eps 2) (- (* (pow eps 2) (- (* -125/1512 (pow eps 2)) 17/90)) 1/3))
(.f64 (.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -125/1512 binary64) #s(literal -17/90 binary64)) #s(literal -1/3 binary64)) eps) eps)
(* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2581/75600 (pow eps 2)) 125/1512)) 17/90)) 1/3))
(.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -2581/75600 binary64) #s(literal -125/1512 binary64)) #s(literal -17/90 binary64)) #s(literal -1/3 binary64)))
(/ eps (sin eps))
(/.f64 eps (sin.f64 eps))
(* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))
(fma.f64 eps (/.f64 #s(literal -1 binary64) (*.f64 eps (cos.f64 eps))) (/.f64 eps (sin.f64 eps)))
(* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))
(fma.f64 eps (/.f64 #s(literal -1 binary64) (*.f64 eps (cos.f64 eps))) (/.f64 eps (sin.f64 eps)))
(* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))
(fma.f64 eps (/.f64 #s(literal -1 binary64) (*.f64 eps (cos.f64 eps))) (/.f64 eps (sin.f64 eps)))
(/ eps (sin eps))
(/.f64 eps (sin.f64 eps))
(* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (cos.f64 eps))) (/.f64 #s(literal -1 binary64) (sin.f64 eps))) (neg.f64 eps))
(* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (cos.f64 eps))) (/.f64 #s(literal -1 binary64) (sin.f64 eps))) (neg.f64 eps))
(* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))
(.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (cos.f64 eps))) (/.f64 #s(literal -1 binary64) (sin.f64 eps))) (neg.f64 eps))

eval282.0ms (1.4%)

Memory: -9.2MiB live, 361.3MiB allocated
Compiler: Compiled 55 438 to 4 154 computations (92.5% saved)

prune241.0ms (1.2%)

Memory

-3.7MiB live, 467.9MiB allocated

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	1 554	11	1 565
Fresh	2	6	8
Picked	3	2	5
Done	0	1	1
Total	1 559	20	1 579

Accuracy

100.0%

Counts

1 579 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
	99.7%	(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
▶	99.4%	(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
▶	2.0%	(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
	1.8%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 eps)) (-.f64 eps (tan.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) (neg.f64 eps))) (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))))
▶	1.8%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))))
	1.8%	(/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (/.f64 (-.f64 eps (tan.f64 eps)) (neg.f64 eps))) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (neg.f64 (*.f64 eps (sin.f64 eps)))))
	3.5%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (.f64 eps eps) (/.f64 eps (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))))))
	1.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps))
	1.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))
	2.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (.f64 (+.f64 eps (tan.f64 eps)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))
✓	2.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
▶	2.0%	(/.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))))
	1.8%	(/.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64))) (fma.f64 (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))) (neg.f64 eps) eps))
▶	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64))))
	2.0%	(.f64 (/.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 eps (tan.f64 eps)))
	2.1%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
	2.0%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
	2.2%	(.f64 eps (/.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))))
✓	98.7%	#s(literal -1/2 binary64)

Compiler

Compiled 1 027 to 503 computations (51% saved)

simplify332.0ms (1.7%)

Memory

0.1MiB live, 407.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	320	(*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))
✓	cost-diff	320	(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))
✓	cost-diff	1088	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))))
✓	cost-diff	6272	(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 eps (.f64 eps eps))
✓	cost-diff	0	(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
✓	cost-diff	0	(/.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))))
✓	cost-diff	14400	(.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
✓	cost-diff	960	(fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64))))

Rules

8 236×	`lower-fma.f32`
8 216×	`lower-fma.f64`
3 788×	`lower-*.f32`
3 758×	`lower-*.f64`
2 886×	`lower-+.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	57	622
0	110	576
1	259	550
2	714	538
3	2680	534
4	6432	532
0	8363	532

Stop Event

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

Calls

Call 1

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

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

localize1.0s (5%)

Memory

-4.0MiB live, 1 670.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	76.3%	(-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64)))
✓	accuracy	67.3%	(-.f64 eps (tan.f64 eps))
✓	accuracy	55.8%	(.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))
✓	accuracy	27.6%	(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))))
✓	accuracy	99.8%	(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
✓	accuracy	91.3%	(.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))))
✓	accuracy	76.5%	(-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))
✓	accuracy	37.5%	(/.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))))
✓	accuracy	99.7%	(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
✓	accuracy	99.3%	(*.f64 eps #s(literal -1/362880 binary64))
✓	accuracy	67.3%	(-.f64 eps (tan.f64 eps))
✓	accuracy	37.5%	(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
✓	accuracy	100.0%	(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))))
✓	accuracy	99.4%	(.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)))

Samples

529.0ms	109×	3	valid
190.0ms	76×	2	valid
127.0ms	67×	1	valid
2.0ms	4×	0	valid

Compiler

Compiled 678 to 69 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 759.0ms

ival-tan: 228.0ms (30% of total)

ival-mult: 115.0ms (15.1% of total)

const: 110.0ms (14.5% of total)

ival-div: 71.0ms (9.4% of total)

ival-add: 69.0ms (9.1% of total)

ival-sin: 63.0ms (8.3% of total)

adjust: 57.0ms (7.5% of total)

ival-pow: 20.0ms (2.6% of total)

ival-sub: 13.0ms (1.7% of total)

ival-pow2: 12.0ms (1.6% of total)

exact: 2.0ms (0.3% of total)

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

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

series24.0ms (0.1%)

Memory

10.3MiB live, 45.4MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64))))>
#<alt (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)))>
#<alt (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))>
#<alt (*.f64 eps eps)>
#<alt (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))>
#<alt (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))>
#<alt (/.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))>
#<alt (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))>
#<alt (.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))))>
#<alt (/.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))))>
#<alt (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))>
#<alt (.f64 eps (.f64 eps eps))>
#<alt (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64)))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))))>
#<alt (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))>
#<alt (*.f64 (/.f64 (-.f64 eps (tan.f64 eps)) eps) #s(literal 1 binary64))>
#<alt (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)))>
#<alt (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))))>
#<alt (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))>
#<alt (-.f64 eps (tan.f64 eps))>
#<alt (*.f64 eps #s(literal -1/362880 binary64))>
#<alt (.f64 (.f64 eps eps) #s(literal 1/6 binary64))>
#<alt (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 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 (* 27/112000 (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 -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 (/ 112000/27 (pow eps 6))>
#<alt (/ (+ 112000/27 (* 4480000/27 (/ 1 (pow eps 2)))) (pow eps 6))>
#<alt (/ (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (pow eps 6))>
#<alt (/ (- (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (* 25984000000/729 (/ 1 (pow eps 6)))) (pow eps 6))>
#<alt (/ 112000/27 (pow eps 6))>
#<alt (/ (+ 112000/27 (* 4480000/27 (/ 1 (pow eps 2)))) (pow eps 6))>
#<alt (/ (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (pow eps 6))>
#<alt (/ (- (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (* 25984000000/729 (/ 1 (pow eps 6)))) (pow eps 6))>
#<alt 1/2>
#<alt (+ 1/2 (* 9/40 (pow eps 2)))>
#<alt (+ 1/2 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))))>
#<alt (+ 1/2 (* (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)) (* 1/2 (/ 1 (pow eps 6))))) (* 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)) (* 1/2 (/ 1 (pow eps 6))))) (* 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 -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 (* 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 -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt (* -1/362880 (pow eps 8))>
#<alt (* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))>
#<alt (* (pow eps 8) (- (/ 1/5040 (pow eps 2)) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))>
#<alt (* (pow eps 8) (- (+ (/ 1/5040 (pow eps 2)) (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))>
#<alt (* -1/362880 (pow eps 8))>
#<alt (* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))>
#<alt (* (pow eps 8) (- (* -1 (/ (+ (* -1 (/ (+ 1/5040 (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* 1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))>
#<alt (* (pow eps 8) (- (* -1 (/ (+ (* -1 (/ (+ 1/5040 (+ (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ 1/5040 (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps))))) eps)) (* 1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))>
#<alt -1/120>
#<alt (- (* 1/5040 (pow eps 2)) 1/120)>
#<alt (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)>
#<alt (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)>
#<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 (/ 1/120 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<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 (/ 1/120 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt -1/2>
#<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) (- (+ (* -1/362880 (/ (sin eps) (* eps (cos eps)))) (/ 1/5040 (pow eps 2))) (+ 1/362880 (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))>
#<alt (* (pow eps 8) (- (+ (* -1/362880 (/ (sin eps) (* eps (cos eps)))) (+ (* 1/5040 (/ (sin eps) (* (pow eps 3) (cos eps)))) (/ 1/5040 (pow eps 2)))) (+ 1/362880 (+ (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* 1/362880 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))))>
#<alt (* -1/362880 (pow eps 8))>
#<alt (* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))>
#<alt (* (pow eps 8) (- (* -1 (/ (+ (* -1 (/ (+ 1/5040 (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* 1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))>
#<alt (* (pow eps 8) (- (* -1 (/ (+ (* -1 (/ (- (+ 1/5040 (+ (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 1/5040 (/ (sin eps) (* eps (cos eps)))))) (* 1/362880 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) 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 (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (pow eps 3)>
#<alt (* -1/18 (pow eps 4))>
#<alt (* (pow eps 4) (- (* -31/1080 (pow eps 2)) 1/18))>
#<alt (* (pow eps 4) (- (* (pow eps 2) (- (* -2783/226800 (pow eps 2)) 31/1080)) 1/18))>
#<alt (* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -27421/5443200 (pow eps 2)) 2783/226800)) 31/1080)) 1/18))>
#<alt (/ eps (sin eps))>
#<alt (* eps (+ (* -1 (/ (+ 1 (/ 1 (cos eps))) eps)) (/ 1 (sin eps))))>
#<alt (* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (cos eps)))) (+ (/ 1 eps) (/ 1 (* eps (cos eps))))))>
#<alt (* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (cos eps)))) (+ (/ 1 eps) (/ 1 (* eps (cos eps))))))>
#<alt (/ eps (sin eps))>
#<alt (* -1 (* eps (- (+ (/ 1 eps) (/ 1 (* eps (cos eps)))) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ 1 (cos eps)))) eps)) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ 1 (cos eps)))) eps)) (/ 1 (sin 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) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt (- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) (pow eps 3))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* eps (cos eps)))))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (* -1 (/ (+ (* 2 (/ (* (sin eps) (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) eps))) eps))) eps)))>
#<alt (* -1/3 (pow eps 2))>
#<alt (* (pow eps 2) (- (* -17/90 (pow eps 2)) 1/3))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (- (* -125/1512 (pow eps 2)) 17/90)) 1/3))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2581/75600 (pow eps 2)) 125/1512)) 17/90)) 1/3))>
#<alt (/ eps (sin eps))>
#<alt (* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))>
#<alt (* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))>
#<alt (* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))>
#<alt (/ eps (sin eps))>
#<alt (* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin 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 (* -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 (* 9/40 (pow eps 4))>
#<alt (* (pow eps 4) (+ 9/40 (* -27/2800 (pow eps 2))))>
#<alt (* (pow eps 4) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))>
#<alt (* (pow eps 4) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))>
#<alt (* 27/112000 (pow eps 8))>
#<alt (* (pow eps 8) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 8) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 8) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 8))>
#<alt (* (pow eps 8) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 8) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 8) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 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 (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1/362880 eps)>
#<alt (* -1/362880 eps)>
#<alt (* -1/362880 eps)>
#<alt (* -1/362880 eps)>
#<alt (* -1/362880 eps)>
#<alt (* -1/362880 eps)>
#<alt (* -1/362880 eps)>
#<alt (* -1/362880 eps)>
#<alt (* -1/362880 eps)>
#<alt (* -1/362880 eps)>
#<alt (* -1/362880 eps)>
#<alt (* -1/362880 eps)>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* -2/3 (pow eps 4))>
#<alt (* (pow eps 4) (- (* -17/45 (pow eps 2)) 2/3))>
#<alt (* (pow eps 4) (- (* (pow eps 2) (- (* -62/315 (pow eps 2)) 17/45)) 2/3))>
#<alt (* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1382/14175 (pow eps 2)) 62/315)) 17/45)) 2/3))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt (/ 9 (pow eps 4))>
#<alt (/ (+ 9 (* -87/10 (pow eps 2))) (pow eps 4))>
#<alt (/ (+ 9 (* (pow eps 2) (- (* 3753/1400 (pow eps 2)) 87/10))) (pow eps 4))>
#<alt (/ (+ 9 (* (pow eps 2) (- (* (pow eps 2) (+ 3753/1400 (* -11923/42000 (pow eps 2)))) 87/10))) (pow eps 4))>
#<alt (/ (sin eps) eps)>
#<alt (/ (+ (sin eps) (* 2 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)>
#<alt (/ (- (+ (sin eps) (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (pow eps 2)))) (* -2 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)>
#<alt (/ (- (+ (sin eps) (* -1 (/ (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) (pow eps 3)))) (+ (* -4 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -2 (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))))) eps)>
#<alt (/ (sin eps) eps)>
#<alt (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (* eps (cos eps)))) (* -1 (sin eps))) eps))>
#<alt (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) eps)) (* 2 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps))>
#<alt (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* -2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) eps)) (* 2 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps))>

Calls

72 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	-inf	(* eps -1/362880)
1.0ms	eps	@	inf	(* (pow (- eps (tan eps)) -2) (* eps (sin eps)))
1.0ms	eps	@	-inf	(* (pow (- eps (tan eps)) -2) (* eps (sin eps)))
1.0ms	eps	@	-inf	(/ (+ (* (+ (* (* eps eps) (+ (* eps (* eps -1/362880)) 1/5040)) -1/120) (* (* eps eps) (* eps (* eps eps)))) (* eps (* (* eps eps) 1/6))) (- eps (tan eps)))
1.0ms	eps	@	inf	(/ (* (* eps (* eps eps)) (+ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) -1/362880) 1/5040)) -1/120)) 1/6)) (* (- (* eps eps) (pow (tan eps) 2)) (/ 1 (+ eps (tan eps)))))

rewrite552.0ms (2.7%)

Memory

13.9MiB live, 617.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 544×	`lower-*.f32`
4 514×	`lower-*.f64`
3 824×	`lower-fma.f32`
3 804×	`lower-fma.f64`
3 662×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	417
0	110	377
1	524	289
2	3887	289
0	8937	287

Stop Event

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

Counts

24 → 1 054

Calls

Call 1

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

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

simplify610.0ms (3%)

Memory

34.6MiB live, 549.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 292×	`lower-fma.f64`
8 292×	`lower-fma.f32`
5 654×	`lower-*.f64`
5 654×	`lower-*.f32`
4 820×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	510	3946
1	1380	3868
2	4307	3808
0	8350	3643

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 284

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))))))
-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)
(/ 112000/27 (pow eps 6))
(/ (+ 112000/27 (* 4480000/27 (/ 1 (pow eps 2)))) (pow eps 6))
(/ (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (pow eps 6))
(/ (- (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (* 25984000000/729 (/ 1 (pow eps 6)))) (pow eps 6))
(/ 112000/27 (pow eps 6))
(/ (+ 112000/27 (* 4480000/27 (/ 1 (pow eps 2)))) (pow eps 6))
(/ (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (pow eps 6))
(/ (- (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (* 25984000000/729 (/ 1 (pow eps 6)))) (pow eps 6))
1/2
(+ 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)))))
(* 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)) (* 1/2 (/ 1 (pow eps 6))))) (* 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)) (* 1/2 (/ 1 (pow eps 6))))) (* 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)
-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)))))
(* 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)))))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
(* (pow eps 8) (- (/ 1/5040 (pow eps 2)) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(* (pow eps 8) (- (+ (/ 1/5040 (pow eps 2)) (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
(* (pow eps 8) (- (* -1 (/ (+ (* -1 (/ (+ 1/5040 (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* 1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))
(* (pow eps 8) (- (* -1 (/ (+ (* -1 (/ (+ 1/5040 (+ (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (* (sin eps) (+ 1/5040 (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps))))) eps)) (* 1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))
-1/120
(- (* 1/5040 (pow eps 2)) 1/120)
(- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)
(- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)
(* -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 (/ 1/120 (pow eps 4)))))
(* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -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 (/ 1/120 (pow eps 4)))))
(* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
-1/2
(- (* 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) (- (+ (* -1/362880 (/ (sin eps) (* eps (cos eps)))) (/ 1/5040 (pow eps 2))) (+ 1/362880 (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))
(* (pow eps 8) (- (+ (* -1/362880 (/ (sin eps) (* eps (cos eps)))) (+ (* 1/5040 (/ (sin eps) (* (pow eps 3) (cos eps)))) (/ 1/5040 (pow eps 2)))) (+ 1/362880 (+ (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* 1/362880 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))))
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
(* (pow eps 8) (- (* -1 (/ (+ (* -1 (/ (+ 1/5040 (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* 1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))
(* (pow eps 8) (- (* -1 (/ (+ (* -1 (/ (- (+ 1/5040 (+ (* -1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 1/5040 (/ (sin eps) (* eps (cos eps)))))) (* 1/362880 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) 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)))))))
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(pow eps 3)
(* -1/18 (pow eps 4))
(* (pow eps 4) (- (* -31/1080 (pow eps 2)) 1/18))
(* (pow eps 4) (- (* (pow eps 2) (- (* -2783/226800 (pow eps 2)) 31/1080)) 1/18))
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -27421/5443200 (pow eps 2)) 2783/226800)) 31/1080)) 1/18))
(/ eps (sin eps))
(* eps (+ (* -1 (/ (+ 1 (/ 1 (cos eps))) eps)) (/ 1 (sin eps))))
(* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (cos eps)))) (+ (/ 1 eps) (/ 1 (* eps (cos eps))))))
(* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (cos eps)))) (+ (/ 1 eps) (/ 1 (* eps (cos eps))))))
(/ eps (sin eps))
(* -1 (* eps (- (+ (/ 1 eps) (/ 1 (* eps (cos eps)))) (/ 1 (sin eps)))))
(* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ 1 (cos eps)))) eps)) (/ 1 (sin eps)))))
(* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ 1 (cos eps)))) eps)) (/ 1 (sin 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) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) (pow eps 3))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
1
(- (+ 1 (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* eps (cos eps)))))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (* -1 (/ (+ (* 2 (/ (* (sin eps) (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) eps))) eps))) eps)))
(* -1/3 (pow eps 2))
(* (pow eps 2) (- (* -17/90 (pow eps 2)) 1/3))
(* (pow eps 2) (- (* (pow eps 2) (- (* -125/1512 (pow eps 2)) 17/90)) 1/3))
(* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2581/75600 (pow eps 2)) 125/1512)) 17/90)) 1/3))
(/ eps (sin eps))
(* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))
(* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))
(* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))
(/ eps (sin eps))
(* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))
(* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))
(* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin 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)))))
(* -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)))
(* 9/40 (pow eps 4))
(* (pow eps 4) (+ 9/40 (* -27/2800 (pow eps 2))))
(* (pow eps 4) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* (pow eps 4) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(* 27/112000 (pow eps 8))
(* (pow eps 8) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 8) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 8) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 8))
(* (pow eps 8) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 8) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 8) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 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)))))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* -2/3 (pow eps 4))
(* (pow eps 4) (- (* -17/45 (pow eps 2)) 2/3))
(* (pow eps 4) (- (* (pow eps 2) (- (* -62/315 (pow eps 2)) 17/45)) 2/3))
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -1382/14175 (pow eps 2)) 62/315)) 17/45)) 2/3))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(* (pow eps 2) (+ 1 (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(/ 9 (pow eps 4))
(/ (+ 9 (* -87/10 (pow eps 2))) (pow eps 4))
(/ (+ 9 (* (pow eps 2) (- (* 3753/1400 (pow eps 2)) 87/10))) (pow eps 4))
(/ (+ 9 (* (pow eps 2) (- (* (pow eps 2) (+ 3753/1400 (* -11923/42000 (pow eps 2)))) 87/10))) (pow eps 4))
(/ (sin eps) eps)
(/ (+ (sin eps) (* 2 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)
(/ (- (+ (sin eps) (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (pow eps 2)))) (* -2 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)
(/ (- (+ (sin eps) (* -1 (/ (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) (pow eps 3)))) (+ (* -4 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -2 (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/ (sin eps) eps)
(* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (* eps (cos eps)))) (* -1 (sin eps))) eps))
(* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) eps)) (* 2 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps))
(* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* -2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) eps)) (* 2 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.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)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.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 #s(literal 27/112000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.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) (.f64 (.f64 eps eps) (.f64 eps eps))) (+.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 #s(literal 27/112000 binary64) (+.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) (.f64 eps eps))) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))) (/.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 6 binary64))))))
-2
#s(literal -2 binary64)
(- (* -9/10 (pow eps 2)) 2)
(fma.f64 eps (*.f64 eps #s(literal -9/10 binary64)) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -513/1400 binary64)) #s(literal -9/10 binary64)) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -297/2000 binary64) #s(literal -513/1400 binary64)) #s(literal -9/10 binary64)) #s(literal -2 binary64))
(/ 112000/27 (pow eps 6))
(/.f64 #s(literal 112000/27 binary64) (pow.f64 eps #s(literal 6 binary64)))
(/ (+ 112000/27 (* 4480000/27 (/ 1 (pow eps 2)))) (pow eps 6))
(/.f64 (+.f64 #s(literal 112000/27 binary64) (/.f64 #s(literal 4480000/27 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(/ (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (pow eps 6))
(/.f64 (+.f64 (+.f64 #s(literal 112000/27 binary64) (/.f64 #s(literal 4480000/27 binary64) (.f64 eps eps))) (/.f64 #s(literal 224000000/81 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (pow.f64 eps #s(literal 6 binary64)))
(/ (- (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (* 25984000000/729 (/ 1 (pow eps 6)))) (pow eps 6))
(+.f64 (/.f64 (+.f64 (+.f64 #s(literal 112000/27 binary64) (/.f64 #s(literal 4480000/27 binary64) (.f64 eps eps))) (/.f64 #s(literal 224000000/81 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (pow.f64 eps #s(literal 6 binary64))) (/.f64 #s(literal -25984000000/729 binary64) (pow.f64 eps #s(literal 12 binary64))))
(/ 112000/27 (pow eps 6))
(/.f64 #s(literal 112000/27 binary64) (pow.f64 eps #s(literal 6 binary64)))
(/ (+ 112000/27 (* 4480000/27 (/ 1 (pow eps 2)))) (pow eps 6))
(/.f64 (+.f64 #s(literal 112000/27 binary64) (/.f64 #s(literal 4480000/27 binary64) (*.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(/ (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (pow eps 6))
(/.f64 (+.f64 (+.f64 #s(literal 112000/27 binary64) (/.f64 #s(literal 4480000/27 binary64) (.f64 eps eps))) (/.f64 #s(literal 224000000/81 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))) (pow.f64 eps #s(literal 6 binary64)))
(/ (- (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (* 25984000000/729 (/ 1 (pow eps 6)))) (pow eps 6))
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(/ (+ (sin eps) (* 2 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps (cos.f64 eps))) (sin.f64 eps)) eps)
(/ (- (+ (sin eps) (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (pow eps 2)))) (* -2 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (cos.f64 eps))) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 eps (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (sin.f64 eps))) eps)
(/ (- (+ (sin eps) (* -1 (/ (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) (pow eps 3)))) (+ (* -4 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -2 (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) (.f64 eps (.f64 eps eps))) (sin.f64 eps)) (fma.f64 #s(literal -4 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 eps (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 eps (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))))) eps)
(/ (sin eps) eps)
(/.f64 (sin.f64 eps) eps)
(* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (* eps (cos eps)))) (* -1 (sin eps))) eps))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (.f64 eps (cos.f64 eps))) (sin.f64 eps)) (neg.f64 eps))
(* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) eps)) (* 2 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps))
(/.f64 (+.f64 (sin.f64 eps) (-.f64 (/.f64 (.f64 #s(literal 2 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (.f64 eps (cos.f64 eps))) (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 eps (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))))) eps)
(* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* -2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) eps)) (* 2 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps))
(/.f64 (+.f64 (sin.f64 eps) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (.f64 #s(literal -3 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) eps) (.f64 #s(literal 3 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) eps)) eps)) eps)

eval506.0ms (2.5%)

Memory: 19.3MiB live, 414.8MiB allocated
Compiler: Compiled 95 062 to 5 237 computations (94.5% saved)

prune417.0ms (2.1%)

Memory

-13.5MiB live, 447.5MiB allocated

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	1 996	5	2 001
Fresh	3	9	12
Picked	2	3	5
Done	0	3	3
Total	2 001	20	2 021

Accuracy

100.0%

Counts

2 021 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
✓	99.9%	(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
✓	99.4%	(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
✓	2.0%	(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
	1.8%	(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 eps)) (-.f64 eps (tan.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) (neg.f64 eps))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))))
	1.8%	(/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (/.f64 (-.f64 eps (tan.f64 eps)) (neg.f64 eps))) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (neg.f64 (*.f64 eps (sin.f64 eps)))))
	3.5%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (.f64 eps eps) (/.f64 eps (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))))))
▶	1.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps))
	1.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))
	2.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (.f64 (+.f64 eps (tan.f64 eps)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))
✓	2.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
▶	1.8%	(/.f64 (+.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) (neg.f64 eps))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))))
	3.7%	(/.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 eps eps (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))))
▶	1.8%	(/.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64))) (fma.f64 (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))) (neg.f64 eps) eps))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64))))
	2.0%	(.f64 (/.f64 (.f64 eps (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 eps (tan.f64 eps)))
	2.1%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
	2.0%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
▶	2.2%	(.f64 eps (/.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))))
✓	98.7%	#s(literal -1/2 binary64)

Compiler

Compiled 926 to 466 computations (49.7% saved)

simplify454.0ms (2.3%)

Memory

-5.2MiB live, 469.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))
✓	cost-diff	0	(+.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) (neg.f64 eps)))
✓	cost-diff	128	(/.f64 (-.f64 eps (tan.f64 eps)) (neg.f64 eps))
✓	cost-diff	1088	(/.f64 (+.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) (neg.f64 eps))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))))
✓	cost-diff	448	(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64))
✓	cost-diff	576	(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps))))
✓	cost-diff	640	(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
✓	cost-diff	12800	(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64)))
✓	cost-diff	0	(-.f64 eps (sin.f64 eps))
✓	cost-diff	0	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps)))
✓	cost-diff	192	(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
✓	cost-diff	0	(/.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps)))
✓	cost-diff	0	(.f64 eps (/.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))))
✓	cost-diff	0	(fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64))
✓	cost-diff	0	(*.f64 eps eps)
✓	cost-diff	0	(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))

Rules

7 944×	`lower-fma.f32`
7 930×	`lower-fma.f64`
3 774×	`lower-*.f32`
3 758×	`lower-*.f64`
2 306×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	381
0	90	363
1	193	353
2	510	344
3	1420	344
4	4203	344
0	8397	344

Stop Event

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

Calls

Call 1

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

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

localize930.0ms (4.6%)

Memory

-10.3MiB live, 1 729.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	76.3%	(+.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) (neg.f64 eps)))
✓	accuracy	67.3%	(-.f64 eps (tan.f64 eps))
✓	accuracy	55.8%	(.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))
✓	accuracy	27.6%	(/.f64 (+.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) (neg.f64 eps))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))))
✓	accuracy	67.3%	(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
✓	accuracy	67.3%	(-.f64 eps (sin.f64 eps))
✓	accuracy	37.6%	(log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps))))
✓	accuracy	37.5%	(/.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64))) (fma.f64 (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))) (neg.f64 eps) eps))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps)))
✓	accuracy	67.3%	(-.f64 eps (sin.f64 eps))
✓	accuracy	67.3%	(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)
✓	accuracy	37.5%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps))
✓	accuracy	99.7%	(.f64 eps (/.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))))
✓	accuracy	99.3%	(*.f64 eps #s(literal -1/362880 binary64))
✓	accuracy	67.3%	(-.f64 eps (tan.f64 eps))
✓	accuracy	37.4%	(/.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps)))
✓	accuracy	100.0%	(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	100.0%	(fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64))

Samples

592.0ms	109×	3	valid
164.0ms	76×	2	valid
72.0ms	67×	1	valid
2.0ms	4×	0	valid

Compiler

Compiled 405 to 56 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 740.0ms

ival-tan: 218.0ms (29.5% of total)

ival-sin: 205.0ms (27.7% of total)

ival-div: 56.0ms (7.6% of total)

ival-mult: 55.0ms (7.4% of total)

adjust: 49.0ms (6.6% of total)

ival-cos: 47.0ms (6.4% of total)

const: 31.0ms (4.2% of total)

ival-add: 23.0ms (3.1% of total)

ival-pow: 20.0ms (2.7% of total)

ival-log: 11.0ms (1.5% of total)

ival-exp: 9.0ms (1.2% of total)

ival-sub: 9.0ms (1.2% of total)

ival-neg: 6.0ms (0.8% of total)

exact: 1.0ms (0.1% of total)

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

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

series17.0ms (0.1%)

Memory

-11.3MiB live, 26.2MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))>
#<alt (*.f64 eps eps)>
#<alt (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64))>
#<alt (.f64 eps (/.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps))))>
#<alt (/.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 eps (tan.f64 eps)))>
#<alt (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))>
#<alt (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)>
#<alt (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps)))>
#<alt (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps))>
#<alt (-.f64 eps (sin.f64 eps))>
#<alt (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64)))>
#<alt (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)>
#<alt (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps))))>
#<alt (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64))>
#<alt (/.f64 (+.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) (neg.f64 eps))) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))))>
#<alt (/.f64 (-.f64 eps (tan.f64 eps)) (neg.f64 eps))>
#<alt (+.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) (neg.f64 eps)))>
#<alt (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))>
#<alt (-.f64 eps (tan.f64 eps))>
#<alt (*.f64 eps #s(literal -1/362880 binary64))>
#<alt (/.f64 (exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)))) #s(literal -1 binary64))) (fma.f64 (/.f64 (sin.f64 eps) (.f64 eps (cos.f64 eps))) (neg.f64 eps) eps))>
#<alt (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 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 (* -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 (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 (* -27/2800 (pow eps 2)))>
#<alt (+ 9/40 (* -27/2800 (pow eps 2)))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* -27/2800 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt (* -1/362880 (pow eps 8))>
#<alt (* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))>
#<alt (* (pow eps 8) (- (/ 1/5040 (pow eps 2)) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))>
#<alt (* (pow eps 8) (- (+ (/ 1/5040 (pow eps 2)) (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))>
#<alt (* -1/362880 (pow eps 8))>
#<alt (* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))>
#<alt (* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))>
#<alt (* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- (+ 1/5040 (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))>
#<alt (/ -1/2 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 (* 1/6 (pow eps 2))>
#<alt (* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt (* -1/362880 (pow eps 8))>
#<alt (* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* (pow eps 8) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* -1/362880 (pow eps 8))>
#<alt (* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* (pow eps 8) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt -1>
#<alt (- (* -1/2 (pow eps 2)) 1)>
#<alt (- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1)>
#<alt (- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 1)>
#<alt (/ -1 (cos eps))>
#<alt (/ -1 (cos eps))>
#<alt (/ -1 (cos eps))>
#<alt (/ -1 (cos eps))>
#<alt (/ -1 (cos eps))>
#<alt (/ -1 (cos eps))>
#<alt (/ -1 (cos eps))>
#<alt (/ -1 (cos eps))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1/3 (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 (+ (log 6) (* -3 (log eps)))>
#<alt (+ (log 6) (+ (* -3 (log eps)) (* 1/20 (pow eps 2))))>
#<alt (+ (log 6) (+ (* -3 (log eps)) (* (pow eps 2) (+ 1/20 (* 1/16800 (pow eps 2))))))>
#<alt (+ (log 6) (+ (* -3 (log eps)) (* (pow eps 2) (+ 1/20 (* (pow eps 2) (+ 1/16800 (* -1/756000 (pow eps 2))))))))>
#<alt (log (/ 1 eps))>
#<alt (+ (log (/ 1 eps)) (/ (sin eps) eps))>
#<alt (+ (log (/ 1 eps)) (+ (* 1/2 (/ (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))) (pow eps 2))) (/ (sin eps) eps)))>
#<alt (+ (log (/ 1 eps)) (+ (* 1/6 (/ (+ (* -6 (pow (sin eps) 3)) (+ (* 2 (pow (sin eps) 3)) (* 6 (pow (sin eps) 3)))) (pow eps 3))) (+ (* 1/2 (/ (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))) (pow eps 2))) (/ (sin eps) eps))))>
#<alt (+ (log -1) (log (/ -1 eps)))>
#<alt (+ (log -1) (+ (log (/ -1 eps)) (/ (sin eps) eps)))>
#<alt (+ (log -1) (+ (log (/ -1 eps)) (* -1 (/ (+ (* -1 (sin eps)) (* -1/2 (/ (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))) eps))) eps))))>
#<alt (+ (log -1) (+ (log (/ -1 eps)) (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow (sin eps) 3)) (+ (* -2 (pow (sin eps) 3)) (* 6 (pow (sin eps) 3)))) eps)) (* 1/2 (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))))) eps))) eps))))>
#<alt (* -1 (+ (log 6) (* -3 (log eps))))>
#<alt (+ (* -1 (+ (log 6) (* -3 (log eps)))) (* -1/20 (pow eps 2)))>
#<alt (+ (* -1 (+ (log 6) (* -3 (log eps)))) (* (pow eps 2) (- (* -1/16800 (pow eps 2)) 1/20)))>
#<alt (+ (* -1 (+ (log 6) (* -3 (log eps)))) (* (pow eps 2) (- (* (pow eps 2) (- (* 1/756000 (pow eps 2)) 1/16800)) 1/20)))>
#<alt (* -1 (log (/ 1 eps)))>
#<alt (+ (* -1 (log (/ 1 eps))) (* -1 (/ (sin eps) eps)))>
#<alt (+ (* -1 (log (/ 1 eps))) (+ (* -1 (/ (sin eps) eps)) (* -1/2 (/ (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))) (pow eps 2)))))>
#<alt (+ (* -1 (log (/ 1 eps))) (+ (* -1 (/ (sin eps) eps)) (+ (* -1/2 (/ (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))) (pow eps 2))) (* -1/6 (/ (+ (* -6 (pow (sin eps) 3)) (+ (* 2 (pow (sin eps) 3)) (* 6 (pow (sin eps) 3)))) (pow eps 3))))))>
#<alt (* -1 (+ (log -1) (log (/ -1 eps))))>
#<alt (+ (* -1 (+ (log -1) (log (/ -1 eps)))) (* -1 (/ (sin eps) eps)))>
#<alt (+ (* -1 (+ (log -1) (log (/ -1 eps)))) (* -1 (/ (+ (sin eps) (* 1/2 (/ (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))) eps))) eps)))>
#<alt (+ (* -1 (+ (log -1) (log (/ -1 eps)))) (* -1 (/ (+ (sin eps) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2)))) (* 1/6 (/ (+ (* -6 (pow (sin eps) 3)) (+ (* -2 (pow (sin eps) 3)) (* 6 (pow (sin eps) 3)))) eps))) eps))) eps)))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt (- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) (pow eps 3))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* eps (cos eps)))))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (* -1 (/ (+ (* 2 (/ (* (sin eps) (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) eps))) eps))) eps)))>
#<alt (* 1/3 (pow eps 2))>
#<alt (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))>
#<alt (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))>
#<alt -1>
#<alt (- (/ (sin eps) (* eps (cos eps))) 1)>
#<alt (- (/ (sin eps) (* eps (cos eps))) 1)>
#<alt (- (/ (sin eps) (* eps (cos eps))) 1)>
#<alt -1>
#<alt (- (/ (sin eps) (* eps (cos eps))) 1)>
#<alt (- (/ (sin eps) (* eps (cos eps))) 1)>
#<alt (- (/ (sin eps) (* eps (cos eps))) 1)>
#<alt (* -1/18 (pow eps 4))>
#<alt (* (pow eps 4) (- (* -31/1080 (pow eps 2)) 1/18))>
#<alt (* (pow eps 4) (- (* (pow eps 2) (- (* -2783/226800 (pow eps 2)) 31/1080)) 1/18))>
#<alt (* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -27421/5443200 (pow eps 2)) 2783/226800)) 31/1080)) 1/18))>
#<alt (/ eps (sin eps))>
#<alt (* eps (+ (* -1 (/ (+ 1 (/ 1 (cos eps))) eps)) (/ 1 (sin eps))))>
#<alt (* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (cos eps)))) (+ (/ 1 eps) (/ 1 (* eps (cos eps))))))>
#<alt (* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (cos eps)))) (+ (/ 1 eps) (/ 1 (* eps (cos eps))))))>
#<alt (/ eps (sin eps))>
#<alt (* -1 (* eps (- (+ (/ 1 eps) (/ 1 (* eps (cos eps)))) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ 1 (cos eps)))) eps)) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ 1 (cos eps)))) eps)) (/ 1 (sin eps)))))>
#<alt (* -1/3 (pow eps 2))>
#<alt (* (pow eps 2) (- (* -17/90 (pow eps 2)) 1/3))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (- (* -125/1512 (pow eps 2)) 17/90)) 1/3))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2581/75600 (pow eps 2)) 125/1512)) 17/90)) 1/3))>
#<alt (/ eps (sin eps))>
#<alt (* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))>
#<alt (* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))>
#<alt (* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))>
#<alt (/ eps (sin eps))>
#<alt (* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))>
#<alt (* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (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 (* -1/362880 eps)>
#<alt (* -1/362880 eps)>
#<alt (* -1/362880 eps)>
#<alt (* -1/362880 eps)>
#<alt (* -1/362880 eps)>
#<alt (* -1/362880 eps)>
#<alt (* -1/362880 eps)>
#<alt (* -1/362880 eps)>
#<alt (* -1/362880 eps)>
#<alt (* -1/362880 eps)>
#<alt (* -1/362880 eps)>
#<alt (* -1/362880 eps)>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))>
#<alt (/ 9 (pow eps 4))>
#<alt (/ (+ 9 (* -87/10 (pow eps 2))) (pow eps 4))>
#<alt (/ (+ 9 (* (pow eps 2) (- (* 3753/1400 (pow eps 2)) 87/10))) (pow eps 4))>
#<alt (/ (+ 9 (* (pow eps 2) (- (* (pow eps 2) (+ 3753/1400 (* -11923/42000 (pow eps 2)))) 87/10))) (pow eps 4))>
#<alt (/ (sin eps) eps)>
#<alt (/ (+ (sin eps) (* 2 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)>
#<alt (/ (- (+ (sin eps) (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (pow eps 2)))) (* -2 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)>
#<alt (/ (- (+ (sin eps) (* -1 (/ (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) (pow eps 3)))) (+ (* -4 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -2 (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))))) eps)>
#<alt (/ (sin eps) eps)>
#<alt (* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (* eps (cos eps)))) (* -1 (sin eps))) eps))>
#<alt (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) eps)) (* 2 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps))>
#<alt (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* -2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) eps)) (* 2 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps))>

Calls

66 calls:

Time	Variable		Point	Expression
5.0ms	eps	@	-inf	(/ 1 (neg (cos eps)))
1.0ms	eps	@	-inf	(/ (- eps (sin eps)) (+ (* (sin eps) (/ 1 (neg (cos eps)))) eps))
0.0ms	eps	@	-inf	(/ (* (* eps eps) (+ (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps -1/362880)) 1/5040)) -1/120)) 1/6)) (- eps (tan eps)))
0.0ms	eps	@	0	(/ (+ (/ (- eps (tan eps)) (sin eps)) (/ (- eps (tan eps)) (neg eps))) (/ 1 (* (pow (- eps (tan eps)) -2) (* eps (sin eps)))))
0.0ms	eps	@	inf	(/ 1 (neg (cos eps)))

rewrite308.0ms (1.5%)

Memory

-1.4MiB live, 595.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 598×	`lower-/.f32`
4 578×	`lower-/.f64`
3 524×	`lower-*.f32`
3 508×	`lower-*.f64`
2 744×	`lower-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	259
0	90	251
1	395	219
2	3253	217
0	8607	217

Stop Event

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

Counts

22 → 900

Calls

Call 1

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

Outputs
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))
(+.f64 (.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal -1/2 binary64))
(+.f64 (.f64 (.f64 eps eps) (.f64 eps (.f64 eps #s(literal -27/2800 binary64)))) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))) (.f64 eps (.f64 eps #s(literal 9/40 binary64))))
(-.f64 (/.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) (/.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))))
(fma.f64 eps (.f64 eps (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) #s(literal -1/2 binary64))
(fma.f64 eps (.f64 eps (.f64 eps (.f64 eps #s(literal -27/2800 binary64)))) (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 eps (.f64 (.f64 eps #s(literal -27/2800 binary64)) (.f64 eps eps)) (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 eps eps) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))) (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)) (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (.f64 eps (.f64 eps #s(literal -27/2800 binary64))) (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps (.f64 eps eps)) (.f64 eps #s(literal -27/2800 binary64)) (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 eps (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) eps #s(literal -1/2 binary64))
(fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal -27/2800 binary64) (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 eps (.f64 eps #s(literal -27/2800 binary64))) eps) eps (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal 1/4 binary64)) (.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))) (fma.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal 1/4 binary64)) (.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))) (fma.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64)) (-.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal 1/4 binary64)) (.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) (.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64))))))
(/.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal 1/4 binary64)) (.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) (.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (*.f64 eps eps) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))))) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal 1/4 binary64)) (.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) #s(literal -1/2 binary64)))))))
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(pow.f64 (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
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(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64))
(*.f64 eps eps)
(.f64 #s(literal 1 binary64) (.f64 eps eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)))
(+.f64 #s(literal 9/40 binary64) (.f64 eps (.f64 eps #s(literal -27/2800 binary64))))
(+.f64 (.f64 eps (.f64 eps #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 729/7840000 binary64)) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal -9/40 binary64))) (/.f64 #s(literal 81/1600 binary64) (fma.f64 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal -9/40 binary64))))
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(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64))
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(-.f64 (/.f64 eps (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps)) (/.f64 (sin.f64 eps) (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps)))
(-.f64 (/.f64 (/.f64 eps #s(literal 1 binary64)) (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps)) (/.f64 (/.f64 (sin.f64 eps) #s(literal 1 binary64)) (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps)))
(-.f64 (/.f64 (/.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps)) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 eps eps (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps)))
(-.f64 (/.f64 (/.f64 (.f64 eps eps) (+.f64 eps (sin.f64 eps))) (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps)) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (+.f64 eps (sin.f64 eps))) (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (neg.f64 (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps))))
(neg.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (neg.f64 (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps))))
(neg.f64 (/.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps) (-.f64 eps (sin.f64 eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps) (-.f64 eps (sin.f64 eps))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps) (-.f64 eps (sin.f64 eps))))))
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps) (-.f64 eps (sin.f64 eps)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps) (-.f64 eps (sin.f64 eps))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (neg.f64 (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps)))
(/.f64 (neg.f64 (neg.f64 (-.f64 eps (sin.f64 eps)))) (neg.f64 (neg.f64 (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 eps (sin.f64 eps))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps)))))
(pow.f64 (/.f64 (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps) (-.f64 eps (sin.f64 eps))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps) (-.f64 eps (sin.f64 eps))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps))) (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps)))
(*.f64 (-.f64 eps (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps)))
(*.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) eps)) (-.f64 eps (sin.f64 eps)))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 eps (.f64 eps eps) (pow.f64 (.f64 eps (/.f64 (tan.f64 eps) eps)) #s(literal 3 binary64)))) (fma.f64 eps (-.f64 eps (.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)))) (pow.f64 (*.f64 eps (/.f64 (tan.f64 eps) eps)) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 (.f64 eps (/.f64 (tan.f64 eps) eps)) #s(literal 2 binary64)) (*.f64 eps eps))) (fma.f64 (tan.f64 eps) (/.f64 eps (neg.f64 eps)) (neg.f64 eps)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (*.f64 eps (sin.f64 eps)))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (.f64 eps (sin.f64 eps)))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (*.f64 eps (sin.f64 eps)))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (*.f64 eps (sin.f64 eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (*.f64 eps (sin.f64 eps))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (*.f64 (sin.f64 eps) (neg.f64 eps))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (*.f64 eps (sin.f64 eps))) #s(literal 1 binary64))))
(/.f64 (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps))) #s(literal 1 binary64))
(/.f64 (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 (sin.f64 eps) (neg.f64 eps))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 (sin.f64 eps) (neg.f64 eps)))) #s(literal 1 binary64))
(pow.f64 (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps))) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (*.f64 eps (sin.f64 eps))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (*.f64 eps (sin.f64 eps))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 eps (.f64 (sin.f64 eps) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))))
(.f64 eps (pow.f64 (.f64 (sin.f64 eps) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))) #s(literal 1 binary64)))
(.f64 (sin.f64 eps) (.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (*.f64 eps (sin.f64 eps))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (*.f64 (sin.f64 eps) (neg.f64 eps))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (.f64 eps (sin.f64 eps)))))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (*.f64 (sin.f64 eps) (neg.f64 eps))) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))
(.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (/.f64 (.f64 eps (sin.f64 eps)) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (pow.f64 (/.f64 (.f64 eps (sin.f64 eps)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (sin.f64 eps))) #s(literal -1 binary64)))
(.f64 (.f64 eps (sin.f64 eps)) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))
(.f64 (.f64 eps (sin.f64 eps)) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (*.f64 eps (sin.f64 eps))) #s(literal 1 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (*.f64 eps (sin.f64 eps))))
(.f64 (.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))) (sin.f64 eps))
(.f64 (.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))) (/.f64 (sin.f64 eps) #s(literal 1 binary64)))
(.f64 (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (sin.f64 eps)) eps)
(.f64 (.f64 (*.f64 eps (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps)))) (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))))
(.f64 (pow.f64 (sin.f64 eps) #s(literal 1 binary64)) (pow.f64 (.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (sin.f64 eps) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 eps (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (sin.f64 eps) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 1 binary64)) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))
(.f64 (pow.f64 (.f64 eps (sin.f64 eps)) #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) #s(literal 1 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (*.f64 eps (sin.f64 eps))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (sin.f64 eps)) #s(literal 1 binary64)) eps)
(.f64 (pow.f64 (.f64 (*.f64 eps (sin.f64 eps)) (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (sin.f64 eps))) #s(literal -1 binary64)) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 eps)) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (*.f64 eps (sin.f64 eps))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))

simplify368.0ms (1.8%)

Memory

-3.3MiB live, 402.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 572×	`lower-fma.f64`
7 572×	`lower-fma.f32`
5 390×	`lower-*.f64`
5 390×	`lower-*.f32`
3 060×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	595	4059
1	1693	3865
2	5474	3766
0	8176	3581

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 254

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 (* -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)))))
(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 (* -27/2800 (pow eps 2)))
(+ 9/40 (* -27/2800 (pow eps 2)))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
(* (pow eps 8) (- (/ 1/5040 (pow eps 2)) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(* (pow eps 8) (- (+ (/ 1/5040 (pow eps 2)) (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
(* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))
(* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- (+ 1/5040 (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))
(/ -1/2 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)))))
(* 1/6 (pow eps 2))
(* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 8) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 8) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 8) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
-1
(- (* -1/2 (pow eps 2)) 1)
(- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 1)
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1/3 (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)))
(+ (log 6) (* -3 (log eps)))
(+ (log 6) (+ (* -3 (log eps)) (* 1/20 (pow eps 2))))
(+ (log 6) (+ (* -3 (log eps)) (* (pow eps 2) (+ 1/20 (* 1/16800 (pow eps 2))))))
(+ (log 6) (+ (* -3 (log eps)) (* (pow eps 2) (+ 1/20 (* (pow eps 2) (+ 1/16800 (* -1/756000 (pow eps 2))))))))
(log (/ 1 eps))
(+ (log (/ 1 eps)) (/ (sin eps) eps))
(+ (log (/ 1 eps)) (+ (* 1/2 (/ (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))) (pow eps 2))) (/ (sin eps) eps)))
(+ (log (/ 1 eps)) (+ (* 1/6 (/ (+ (* -6 (pow (sin eps) 3)) (+ (* 2 (pow (sin eps) 3)) (* 6 (pow (sin eps) 3)))) (pow eps 3))) (+ (* 1/2 (/ (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))) (pow eps 2))) (/ (sin eps) eps))))
(+ (log -1) (log (/ -1 eps)))
(+ (log -1) (+ (log (/ -1 eps)) (/ (sin eps) eps)))
(+ (log -1) (+ (log (/ -1 eps)) (* -1 (/ (+ (* -1 (sin eps)) (* -1/2 (/ (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))) eps))) eps))))
(+ (log -1) (+ (log (/ -1 eps)) (* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow (sin eps) 3)) (+ (* -2 (pow (sin eps) 3)) (* 6 (pow (sin eps) 3)))) eps)) (* 1/2 (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))))) eps))) eps))))
(* -1 (+ (log 6) (* -3 (log eps))))
(+ (* -1 (+ (log 6) (* -3 (log eps)))) (* -1/20 (pow eps 2)))
(+ (* -1 (+ (log 6) (* -3 (log eps)))) (* (pow eps 2) (- (* -1/16800 (pow eps 2)) 1/20)))
(+ (* -1 (+ (log 6) (* -3 (log eps)))) (* (pow eps 2) (- (* (pow eps 2) (- (* 1/756000 (pow eps 2)) 1/16800)) 1/20)))
(* -1 (log (/ 1 eps)))
(+ (* -1 (log (/ 1 eps))) (* -1 (/ (sin eps) eps)))
(+ (* -1 (log (/ 1 eps))) (+ (* -1 (/ (sin eps) eps)) (* -1/2 (/ (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))) (pow eps 2)))))
(+ (* -1 (log (/ 1 eps))) (+ (* -1 (/ (sin eps) eps)) (+ (* -1/2 (/ (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))) (pow eps 2))) (* -1/6 (/ (+ (* -6 (pow (sin eps) 3)) (+ (* 2 (pow (sin eps) 3)) (* 6 (pow (sin eps) 3)))) (pow eps 3))))))
(* -1 (+ (log -1) (log (/ -1 eps))))
(+ (* -1 (+ (log -1) (log (/ -1 eps)))) (* -1 (/ (sin eps) eps)))
(+ (* -1 (+ (log -1) (log (/ -1 eps)))) (* -1 (/ (+ (sin eps) (* 1/2 (/ (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2))) eps))) eps)))
(+ (* -1 (+ (log -1) (log (/ -1 eps)))) (* -1 (/ (+ (sin eps) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow (sin eps) 2)) (* 2 (pow (sin eps) 2)))) (* 1/6 (/ (+ (* -6 (pow (sin eps) 3)) (+ (* -2 (pow (sin eps) 3)) (* 6 (pow (sin eps) 3)))) eps))) eps))) eps)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(- (+ 1 (+ (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps)) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) (pow eps 3))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
1
(- (+ 1 (* -1 (/ (* (sin eps) (+ 1 (/ 1 (cos eps)))) eps))) (* -2 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (- (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* eps (cos eps)))))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (* -1 (/ (+ (* 2 (/ (* (sin eps) (- (* -1 (/ (pow (sin eps) 2) (cos eps))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (* 2 (/ (* (sin eps) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (cos eps)))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (* (sin eps) (+ 1 (/ 1 (cos eps))))) (* -2 (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) eps))) eps))) eps)))
(* 1/3 (pow eps 2))
(* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))
(* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
-1
(- (/ (sin eps) (* eps (cos eps))) 1)
(- (/ (sin eps) (* eps (cos eps))) 1)
(- (/ (sin eps) (* eps (cos eps))) 1)
-1
(- (/ (sin eps) (* eps (cos eps))) 1)
(- (/ (sin eps) (* eps (cos eps))) 1)
(- (/ (sin eps) (* eps (cos eps))) 1)
(* -1/18 (pow eps 4))
(* (pow eps 4) (- (* -31/1080 (pow eps 2)) 1/18))
(* (pow eps 4) (- (* (pow eps 2) (- (* -2783/226800 (pow eps 2)) 31/1080)) 1/18))
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -27421/5443200 (pow eps 2)) 2783/226800)) 31/1080)) 1/18))
(/ eps (sin eps))
(* eps (+ (* -1 (/ (+ 1 (/ 1 (cos eps))) eps)) (/ 1 (sin eps))))
(* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (cos eps)))) (+ (/ 1 eps) (/ 1 (* eps (cos eps))))))
(* eps (- (+ (/ 1 (sin eps)) (/ (sin eps) (* (pow eps 2) (cos eps)))) (+ (/ 1 eps) (/ 1 (* eps (cos eps))))))
(/ eps (sin eps))
(* -1 (* eps (- (+ (/ 1 eps) (/ 1 (* eps (cos eps)))) (/ 1 (sin eps)))))
(* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ 1 (cos eps)))) eps)) (/ 1 (sin eps)))))
(* -1 (* eps (- (* -1 (/ (- (/ (sin eps) (* eps (cos eps))) (+ 1 (/ 1 (cos eps)))) eps)) (/ 1 (sin eps)))))
(* -1/3 (pow eps 2))
(* (pow eps 2) (- (* -17/90 (pow eps 2)) 1/3))
(* (pow eps 2) (- (* (pow eps 2) (- (* -125/1512 (pow eps 2)) 17/90)) 1/3))
(* (pow eps 2) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2581/75600 (pow eps 2)) 125/1512)) 17/90)) 1/3))
(/ eps (sin eps))
(* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))
(* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))
(* eps (- (/ 1 (sin eps)) (/ 1 (* eps (cos eps)))))
(/ eps (sin eps))
(* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))
(* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (sin eps)))))
(* -1 (* eps (- (/ 1 (* eps (cos eps))) (/ 1 (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)))
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
(* -1/362880 eps)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))
(/ 9 (pow eps 4))
(/ (+ 9 (* -87/10 (pow eps 2))) (pow eps 4))
(/ (+ 9 (* (pow eps 2) (- (* 3753/1400 (pow eps 2)) 87/10))) (pow eps 4))
(/ (+ 9 (* (pow eps 2) (- (* (pow eps 2) (+ 3753/1400 (* -11923/42000 (pow eps 2)))) 87/10))) (pow eps 4))
(/ (sin eps) eps)
(/ (+ (sin eps) (* 2 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)
(/ (- (+ (sin eps) (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) (pow eps 2)))) (* -2 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)
(/ (- (+ (sin eps) (* -1 (/ (+ (* 2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* 2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) (pow eps 3)))) (+ (* -4 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))) (+ (* -2 (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/ (sin eps) eps)
(* -1 (/ (+ (* -2 (/ (pow (sin eps) 2) (* eps (cos eps)))) (* -1 (sin eps))) eps))
(* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2))) eps)) (* 2 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps))
(* -1 (/ (+ (* -1 (sin eps)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (+ (* -4 (/ (pow (sin eps) 3) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) (cos eps))) (* -2 (/ (pow (sin eps) 4) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 2)))) eps)) (* 2 (/ (pow (sin eps) 2) (cos eps)))) eps))) eps))

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

eval174.0ms (0.9%)

Memory: 42.0MiB live, 340.9MiB allocated
Compiler: Compiled 48 179 to 4 319 computations (91% saved)

prune189.0ms (0.9%)

Memory

-3.8MiB live, 354.5MiB allocated

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	1 487	8	1 495
Fresh	3	6	9
Picked	4	1	5
Done	0	6	6
Total	1 494	21	1 515

Accuracy

100.0%

Counts

1 515 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
✓	99.9%	(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
✓	99.4%	(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
✓	2.0%	(/.f64 (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
	1.9%	(/.f64 (/.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (fma.f64 eps eps (*.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))))) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps))
	1.8%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 eps (sin.f64 eps)))) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps))
	1.8%	(/.f64 (-.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) (/.f64 (-.f64 eps (tan.f64 eps)) eps)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)) (.f64 eps (sin.f64 eps)))))
	1.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps))
	1.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps))
	3.5%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (.f64 eps eps) (/.f64 eps (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (*.f64 eps eps))))))
	1.8%	(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (fma.f64 eps (/.f64 eps (+.f64 eps (tan.f64 eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 eps (tan.f64 eps))))))
	2.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (/.f64 (-.f64 (.f64 eps (.f64 eps (.f64 eps eps))) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (.f64 (+.f64 eps (tan.f64 eps)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))))
✓	2.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
	3.7%	(/.f64 (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (fma.f64 eps eps (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)))) #s(literal -1/4 binary64))))
	2.0%	(.f64 (/.f64 (.f64 eps (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 eps (tan.f64 eps)))
	2.1%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (-.f64 (sin.f64 eps) eps))
	2.2%	(.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) eps))
	99.6%	(.f64 eps (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)) eps))
	2.2%	(.f64 eps (/.f64 (.f64 (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) eps) (-.f64 eps (tan.f64 eps))))
✓	98.7%	#s(literal -1/2 binary64)

Compiler

Compiled 1 472 to 444 computations (69.8% saved)

regimes30.0ms (0.2%)

Memory

-18.4MiB live, 49.9MiB allocated

Counts

38 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
10.0ms	eps

Results

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes4.0ms (0%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	eps
2.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

Accuracy	Segments	Branch
99.7%	1	`eps`
99.7%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes3.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	eps
1.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

Accuracy	Segments	Branch
99.4%	1	`eps`
99.4%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes2.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1/2 binary64)

Outputs
#s(literal -1/2 binary64)

Calls

2 calls:

1.0ms	eps
1.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

Accuracy	Segments	Branch
98.7%	1	`eps`
98.7%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify5.0ms (0%)

Memory

11.1MiB live, 11.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	34
1	18	34

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness350.0ms (1.7%)

Memory

-28.7MiB live, 210.8MiB allocated

Rules

12 288×	`lower-fma.f64`
12 288×	`lower-fma.f32`
6 122×	`lower-*.f64`
6 122×	`lower-*.f32`
1 424×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 73 to 41 computations (43.8% saved)

preprocess68.0ms (0.3%)

Memory: -16.9MiB live, 126.2MiB allocated
Remove: (abs eps)
Compiler: Compiled 216 to 120 computations (44.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	27
1	29	23
2	78	18
3	239	18
4	501	18
5	688	18
6	705	18
7	743	18
8	772	18
0	6	9
0	11	9
1	18	9
2	28	9
3	45	9
4	79	9
5	151	9
6	326	9
7	624	9
8	928	9
9	943	9
10	944	9
0	944	9

Iter	Nodes	Cost
0	6	22
0	11	22
1	18	22
2	28	22
3	45	22
4	79	22
5	151	22
6	326	22
7	624	22
8	928	22
9	943	22
10	944	22
0	944	22

Iter	Nodes	Cost
0	8	27
1	29	23
2	78	18
3	239	18
4	501	18
5	688	18
6	705	18
7	743	18
8	772	18
0	6	9
0	11	9
1	18	9
2	28	9
3	45	9
4	79	9
5	151	9
6	326	9
7	624	9
8	928	9
9	943	9
10	944	9
0	944	9

Iter	Nodes	Cost
0	6	22
0	11	22
1	18	22
2	28	22
3	45	22
4	79	22
5	151	22
6	326	22
7	624	22
8	928	22
9	943	22
10	944	22
0	944	22

analyze368.0ms (1.8%)

sample9.1s (45.5%)

preprocess81.0ms (0.4%)

explain586.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify26.0ms (0.1%)

localize234.0ms (1.2%)

series14.0ms (0.1%)

rewrite320.0ms (1.6%)

simplify386.0ms (1.9%)

eval45.0ms (0.2%)

prune72.0ms (0.4%)

simplify328.0ms (1.6%)

localize709.0ms (3.5%)

series31.0ms (0.2%)

rewrite394.0ms (2%)

simplify487.0ms (2.4%)

eval282.0ms (1.4%)

prune241.0ms (1.2%)

simplify332.0ms (1.7%)

localize1.0s (5%)

series24.0ms (0.1%)

rewrite552.0ms (2.7%)

simplify610.0ms (3%)

eval506.0ms (2.5%)

prune417.0ms (2.1%)

simplify454.0ms (2.3%)

localize930.0ms (4.6%)

series17.0ms (0.1%)

rewrite308.0ms (1.5%)

simplify368.0ms (1.8%)

eval174.0ms (0.9%)

prune189.0ms (0.9%)

regimes30.0ms (0.2%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify5.0ms (0%)

soundness350.0ms (1.7%)

preprocess68.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	27
1	29	23
2	78	18
3	239	18
4	501	18
5	688	18
6	705	18
7	743	18
8	772	18
0	6	9
0	11	9
1	18	9
2	28	9
3	45	9
4	79	9
5	151	9
6	326	9
7	624	9
8	928	9
9	943	9
10	944	9
0	944	9

Iter	Nodes	Cost
0	6	22
0	11	22
1	18	22
2	28	22
3	45	22
4	79	22
5	151	22
6	326	22
7	624	22
8	928	22
9	943	22
10	944	22
0	944	22