Metrics for sintan (problem 3.4.5)

analyze377.0ms (1.9%)

Memory

39.5MiB live, 458.1MiB 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)

sample9.7s (49.6%)

Memory

59.3MiB live, 10 223.7MiB allocated

Samples

7.0s	4 534×	2	valid
1.3s	1 166×	3	valid
630.0ms	2 428×	1	valid
12.0ms	128×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.3s

ival-tan: 5.1s (60.7% of total)

ival-sin: 2.1s (25.4% of total)

adjust: 370.0ms (4.4% of total)

ival-sub: 319.0ms (3.8% of total)

const: 242.0ms (2.9% of total)

ival-div: 112.0ms (1.3% of total)

ival-<=: 95.0ms (1.1% of total)

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

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

Bogosity

preprocess74.0ms (0.4%)

Memory

18.5MiB live, 94.7MiB 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)

explain675.0ms (3.4%)

Memory

-47.5MiB live, 1 059.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
171	-	4	(1.0150275539367295e-103)	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
89	-	1	(0.32807790642412343)	`(-.f64 eps (sin.f64 eps))`
88	-	0	-	`(-.f64 eps (tan.f64 eps))`
0	-	0	-	`(tan.f64 eps)`
0	-	0	-	`eps`
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	167	0
↳	`(-.f64 eps (sin.f64 eps))`	underflow	167
↳	`(-.f64 eps (tan.f64 eps))`	underflow	167
`-.f64`	`(-.f64 eps (sin.f64 eps))`	cancellation	88	1
`-.f64`	`(-.f64 eps (tan.f64 eps))`	cancellation	88	0

Confusion

	Predicted +	Predicted -
+	255	1
-	0	0

Precision

1.0

Recall

0.99609375

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	1
1	167
2	88

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

498.0ms	270×	2	valid
55.0ms	86×	3	valid
27.0ms	144×	1	valid
1.0ms	12×	0	valid

Compiler

Compiled 68 to 28 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 555.0ms

ival-tan: 389.0ms (70.1% of total)

ival-sin: 126.0ms (22.7% of total)

adjust: 17.0ms (3.1% of total)

ival-sub: 17.0ms (3.1% of total)

ival-div: 6.0ms (1.1% 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

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.4%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify43.0ms (0.2%)

Memory

14.7MiB live, 54.4MiB 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)

localize270.0ms (1.4%)

Memory

3.8MiB live, 479.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 eps)
✓	accuracy	70.2%	(-.f64 eps (tan.f64 eps))
✓	accuracy	70.2%	(-.f64 eps (sin.f64 eps))
✓	accuracy	34.7%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Samples

219.0ms	135×	2	valid
27.0ms	43×	3	valid
12.0ms	72×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 244.0ms

ival-tan: 146.0ms (59.9% of total)

ival-sin: 76.0ms (31.2% of total)

adjust: 8.0ms (3.3% of total)

ival-sub: 8.0ms (3.3% of total)

ival-div: 6.0ms (2.5% of total)

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

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

series4.0ms (0%)

Memory

8.7MiB live, 8.7MiB 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
1.0ms	eps	@	inf	(/ (- eps (sin eps)) (- eps (tan eps)))
1.0ms	eps	@	-inf	(/ (- eps (sin eps)) (- eps (tan eps)))
1.0ms	eps	@	0	(/ (- eps (sin eps)) (- eps (tan eps)))
0.0ms	eps	@	-inf	(- eps (tan eps))
0.0ms	eps	@	inf	(- eps (tan eps))

rewrite322.0ms (1.6%)

Memory

-14.0MiB live, 540.3MiB 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)))))

simplify403.0ms (2.1%)

Memory

66.6MiB live, 633.5MiB 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)))

eval65.0ms (0.3%)

Memory: -18.4MiB live, 139.3MiB allocated
Compiler: Compiled 12 434 to 1 225 computations (90.1% saved)

prune74.0ms (0.4%)

Memory

-15.4MiB live, 183.1MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	453	9	462
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	453	10	463

Accuracy

100.0%

Counts

463 → 10

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))
▶	99.8%	(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))
	99.5%	(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
▶	1.8%	(/.f64 (fma.f64 eps (/.f64 eps (+.f64 eps (sin.f64 eps))) (neg.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)))
	2.1%	(/.f64 (-.f64 (.f64 (neg.f64 eps) (-.f64 (tan.f64 eps) eps)) (.f64 (-.f64 (tan.f64 eps) eps) (neg.f64 (sin.f64 eps)))) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 2 binary64)))
	2.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps))
✓	2.4%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
	2.3%	(/.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)))
▶	2.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps))))
▶	98.5%	#s(literal -1/2 binary64)

Compiler

Compiled 300 to 176 computations (41.3% saved)

simplify288.0ms (1.5%)

Memory

4.5MiB live, 508.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (*.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64)))
✓	cost-diff	128	(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (*.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64))))
✓	cost-diff	384	(/.f64 (fma.f64 eps (/.f64 eps (+.f64 eps (sin.f64 eps))) (neg.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)))
✓	cost-diff	6976	(fma.f64 eps (/.f64 eps (+.f64 eps (sin.f64 eps))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (*.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64)))))
✓	cost-diff	0	(tan.f64 eps)
✓	cost-diff	0	(-.f64 eps (tan.f64 eps))
✓	cost-diff	0	(/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps))))
✓	cost-diff	0	(*.f64 eps #s(literal -27/2800 binary64))
✓	cost-diff	0	(fma.f64 eps (*.f64 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 eps (.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
✓	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

8 088×	`lower-fma.f32`
8 076×	`lower-fma.f64`
3 358×	`lower-*.f32`
3 348×	`lower-*.f64`
1 836×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	230
0	63	230
1	130	227
2	306	225
3	707	225
4	1479	225
5	3395	225
6	6043	221
7	7428	221
0	8139	215

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

localize795.0ms (4.1%)

Memory

-3.5MiB live, 857.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	70.2%	(-.f64 eps (tan.f64 eps))
✓	accuracy	58.0%	(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps)))
✓	accuracy	50.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (*.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64)))
✓	accuracy	34.7%	(/.f64 (fma.f64 eps (/.f64 eps (+.f64 eps (sin.f64 eps))) (neg.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)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps))))
✓	accuracy	70.2%	(-.f64 eps (tan.f64 eps))
✓	accuracy	70.2%	(-.f64 eps (sin.f64 eps))
✓	accuracy	34.7%	(/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps)))
✓	accuracy	100.0%	(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))
✓	accuracy	100.0%	(*.f64 eps eps)
✓	accuracy	100.0%	(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
✓	accuracy	99.4%	(*.f64 eps #s(literal -27/2800 binary64))
✓	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	99.9%	(*.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

440.0ms	149×	2	valid
200.0ms	35×	3	valid
75.0ms	68×	1	valid
1.0ms	4×	0	valid

Compiler

Compiled 244 to 40 computations (83.6% saved)

Precisions

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

ival-sin: 212.0ms (31.8% of total)

ival-tan: 142.0ms (21.3% of total)

ival-cos: 114.0ms (17.1% of total)

ival-mult: 59.0ms (8.9% of total)

ival-div: 49.0ms (7.4% of total)

adjust: 38.0ms (5.7% of total)

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

const: 17.0ms (2.6% of total)

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

ival-neg: 3.0ms (0.5% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.1%)

Memory

-0.9MiB live, 37.0MiB allocated

Counts

19 → 228

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 (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))>
#<alt (fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))>
#<alt (*.f64 eps #s(literal -27/2800 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps))))>
#<alt (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps)))>
#<alt (-.f64 eps (tan.f64 eps))>
#<alt (tan.f64 eps)>
#<alt (fma.f64 eps (/.f64 eps (+.f64 eps (sin.f64 eps))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (*.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64)))))>
#<alt (/.f64 (fma.f64 eps (/.f64 eps (+.f64 eps (sin.f64 eps))) (neg.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)))>
#<alt (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (*.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64))))>
#<alt (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps eps))) (*.f64 (+.f64 eps (sin.f64 eps)) #s(literal 2 binary64)))>
#<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 (sin.f64 eps))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 eps 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 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (* -27/2800 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* -27/2800 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))>
#<alt 9/40>
#<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 (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt (* -27/2800 eps)>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt -2>
#<alt (- (* -9/10 (pow eps 2)) 2)>
#<alt (- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)>
#<alt (- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (* -1 (/ (sin eps) eps)))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))) (* -1 (/ (sin eps) eps)))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 3)))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (/ (sin eps) (cos eps)) (sin eps)) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (/ (sin eps) (cos eps)) (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps))) eps)) (sin eps)) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (sin eps))) eps)) (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps)))) eps)) (/ (sin eps) (cos eps))) (sin eps)) eps)))>
#<alt (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt eps>
#<alt (* eps (+ 1 (* 1/3 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))>
#<alt (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (* 1/6 (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 (/ (+ (* -1 (pow (sin eps) 2)) (* 1/2 (- 1 (cos (* 2 eps))))) (pow eps 2)))) (/ (sin eps) eps)))>
#<alt (* eps (- (+ 1 (* -1 (/ (+ (* -1/2 (* (sin eps) (- 1 (cos (* 2 eps))))) (pow (sin eps) 3)) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* 1/2 (/ (- 1 (cos (* 2 eps))) (pow eps 2))) (/ (sin eps) eps)))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (+ (* -1/2 (/ (- 1 (cos (neg (* -2 eps)))) eps)) (/ (pow (sin eps) 2) eps)) (sin eps)) eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (neg (* -2 eps))))) eps)) (/ (pow (sin eps) 3) eps)) (+ (* -1/2 (- 1 (cos (neg (* -2 eps))))) (pow (sin eps) 2))) eps)) (sin eps)) eps)) 1)))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (* 1/2 (- 1 (cos (* 2 eps))))) (pow 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 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (* 1/2 (- 1 (cos (* 2 eps))))) (pow eps 2))) (* -1 (/ (+ (* -1/2 (* (sin eps) (- 1 (cos (* 2 eps))))) (pow (sin eps) 3)) (pow eps 3)))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (sin eps) 2)) (* 1/2 (- 1 (cos (* 2 eps)))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))))) (* (pow eps 3) (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 (/ (+ (* -1/2 (- 1 (cos (neg (* -2 eps))))) (pow (sin eps) 2)) eps))) (/ (* (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 (/ (- (+ (* -1 (- (* -1 (+ (* -1/2 (- 1 (cos (neg (* -2 eps))))) (pow (sin eps) 2))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (* -1 (/ (+ (* -1/2 (* (sin eps) (- 1 (cos (neg (* -2 eps)))))) (pow (sin eps) 3)) eps))) (/ (* (sin eps) (- (* -1 (+ (* -1/2 (- 1 (cos (neg (* -2 eps))))) (pow (sin eps) 2))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (* eps (cos eps)))) eps))) eps)))>
#<alt (* -1/2 eps)>
#<alt (* eps (- (* 1/8 (pow eps 2)) 1/2))>
#<alt (* eps (- (* (pow eps 2) (+ 1/8 (* -7/720 (pow eps 2)))) 1/2))>
#<alt (* eps (- (* (pow eps 2) (+ 1/8 (* (pow eps 2) (- (* 5/24192 (pow eps 2)) 7/720)))) 1/2))>
#<alt (* -1/2 (/ (- 1 (cos (* 2 eps))) eps))>
#<alt (/ (- (* 1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (* 1/2 (- 1 (cos (* 2 eps))))) eps)>
#<alt (/ (- (* -1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (* 2 eps)))) (pow eps 2))) (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (* 1/2 (- 1 (cos (* 2 eps)))))) eps)>
#<alt (/ (- (* 1/2 (/ (* (pow (sin eps) 3) (- 1 (cos (* 2 eps)))) (pow eps 3))) (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (+ (* 1/2 (- 1 (cos (* 2 eps)))) (* 1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (* 2 eps)))) (pow eps 2)))))) eps)>
#<alt (* -1/2 (/ (- 1 (cos (neg (* -2 eps)))) eps))>
#<alt (* -1 (/ (- (* -1/2 (/ (* (sin eps) (- 1 (cos (neg (* -2 eps))))) eps)) (* -1/2 (- 1 (cos (neg (* -2 eps)))))) eps))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (neg (* -2 eps))))) eps)) (* -1/2 (* (sin eps) (- 1 (cos (neg (* -2 eps))))))) eps)) (* -1/2 (- 1 (cos (neg (* -2 eps)))))) eps))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* (pow (sin eps) 3) (- 1 (cos (neg (* -2 eps))))) eps)) (* -1/2 (* (pow (sin eps) 2) (- 1 (cos (neg (* -2 eps))))))) eps)) (* -1/2 (* (sin eps) (- 1 (cos (neg (* -2 eps))))))) eps)) (* -1/2 (- 1 (cos (neg (* -2 eps)))))) eps))>
#<alt (* 1/2 eps)>
#<alt (* eps (+ 1/2 (* -1/8 (pow eps 2))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* 7/720 (pow eps 2)) 1/8))))>
#<alt (* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 7/720 (* -5/24192 (pow eps 2)))) 1/8))))>
#<alt (* 1/2 (/ (- 1 (cos (* 2 eps))) eps))>
#<alt (/ (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (* 1/2 (- 1 (cos (* 2 eps))))) eps)>
#<alt (/ (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (+ (* 1/2 (- 1 (cos (* 2 eps)))) (* 1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (* 2 eps)))) (pow eps 2))))) eps)>
#<alt (/ (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (+ (* -1/2 (/ (* (pow (sin eps) 3) (- 1 (cos (* 2 eps)))) (pow eps 3))) (+ (* 1/2 (- 1 (cos (* 2 eps)))) (* 1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (* 2 eps)))) (pow eps 2)))))) eps)>
#<alt (* 1/2 (/ (- 1 (cos (neg (* -2 eps)))) eps))>
#<alt (* -1 (/ (+ (* -1/2 (- 1 (cos (neg (* -2 eps))))) (* 1/2 (/ (* (sin eps) (- 1 (cos (neg (* -2 eps))))) eps))) eps))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sin eps) (- 1 (cos (neg (* -2 eps)))))) (* 1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (neg (* -2 eps))))) eps))) eps)) (* -1/2 (- 1 (cos (neg (* -2 eps)))))) eps))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (sin eps) 2) (- 1 (cos (neg (* -2 eps)))))) (* 1/2 (/ (* (pow (sin eps) 3) (- 1 (cos (neg (* -2 eps))))) eps))) eps)) (* -1/2 (* (sin eps) (- 1 (cos (neg (* -2 eps))))))) eps)) (* -1/2 (- 1 (cos (neg (* -2 eps)))))) 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 (* 1/6 (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 (* 2 (pow eps 2))>
#<alt (* (pow eps 2) (+ 2 (* -2/3 (pow eps 2))))>
#<alt (* (pow eps 2) (+ 2 (* (pow eps 2) (- (* 4/45 (pow eps 2)) 2/3))))>
#<alt (* (pow eps 2) (+ 2 (* (pow eps 2) (- (* (pow eps 2) (+ 4/45 (* -2/315 (pow eps 2)))) 2/3))))>
#<alt (- 1 (cos (* 2 eps)))>
#<alt (- 1 (cos (* 2 eps)))>
#<alt (- 1 (cos (* 2 eps)))>
#<alt (- 1 (cos (* 2 eps)))>
#<alt (- 1 (cos (neg (* -2 eps))))>
#<alt (- 1 (cos (neg (* -2 eps))))>
#<alt (- 1 (cos (neg (* -2 eps))))>
#<alt (- 1 (cos (neg (* -2 eps))))>

Calls

57 calls:

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

rewrite173.0ms (0.9%)

Memory

41.1MiB live, 195.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 336×	`lower-*.f32`
1 326×	`lower-*.f64`
1 296×	`lower-fma.f32`
1 284×	`lower-fma.f64`
1 130×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	179
0	63	179
1	283	174
0	2330	174

Stop Event

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

Counts

19 → 371

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

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

simplify523.0ms (2.7%)

Memory

2.9MiB live, 830.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 166×	`lower-fma.f64`
12 166×	`lower-fma.f32`
5 846×	`lower-*.f64`
5 846×	`lower-*.f32`
4 500×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	471	3024
1	1455	2891
2	4475	2864
0	9099	2731

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 221

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 (* -27/2800 (pow eps 2)))) 1/2)
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
9/40
(+ 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))
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
(* -27/2800 eps)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
-2
(- (* -9/10 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2)
1
(- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (* -1 (/ (sin eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))) (* -1 (/ (sin eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 3)))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))))
1
(+ 1 (* -1 (/ (- (/ (sin eps) (cos eps)) (sin eps)) eps)))
(+ 1 (* -1 (/ (- (+ (/ (sin eps) (cos eps)) (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps))) eps)) (sin eps)) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (sin eps))) eps)) (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps)))) eps)) (/ (sin eps) (cos eps))) (sin eps)) eps)))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
eps
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(* 1/6 (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 (/ (+ (* -1 (pow (sin eps) 2)) (* 1/2 (- 1 (cos (* 2 eps))))) (pow eps 2)))) (/ (sin eps) eps)))
(* eps (- (+ 1 (* -1 (/ (+ (* -1/2 (* (sin eps) (- 1 (cos (* 2 eps))))) (pow (sin eps) 3)) (pow eps 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (* 1/2 (/ (- 1 (cos (* 2 eps))) (pow eps 2))) (/ (sin eps) eps)))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1/2 (/ (- 1 (cos (neg (* -2 eps)))) eps)) (/ (pow (sin eps) 2) eps)) (sin eps)) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (neg (* -2 eps))))) eps)) (/ (pow (sin eps) 3) eps)) (+ (* -1/2 (- 1 (cos (neg (* -2 eps))))) (pow (sin eps) 2))) eps)) (sin eps)) eps)) 1)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (* 1/2 (- 1 (cos (* 2 eps))))) (pow 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 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -1 (pow (sin eps) 2)) (* 1/2 (- 1 (cos (* 2 eps))))) (pow eps 2))) (* -1 (/ (+ (* -1/2 (* (sin eps) (- 1 (cos (* 2 eps))))) (pow (sin eps) 3)) (pow eps 3)))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (+ (* -1 (pow (sin eps) 2)) (* 1/2 (- 1 (cos (* 2 eps)))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))))) (* (pow eps 3) (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 (/ (+ (* -1/2 (- 1 (cos (neg (* -2 eps))))) (pow (sin eps) 2)) eps))) (/ (* (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 (/ (- (+ (* -1 (- (* -1 (+ (* -1/2 (- 1 (cos (neg (* -2 eps))))) (pow (sin eps) 2))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (* -1 (/ (+ (* -1/2 (* (sin eps) (- 1 (cos (neg (* -2 eps)))))) (pow (sin eps) 3)) eps))) (/ (* (sin eps) (- (* -1 (+ (* -1/2 (- 1 (cos (neg (* -2 eps))))) (pow (sin eps) 2))) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)))) (* eps (cos eps)))) eps))) eps)))
(* -1/2 eps)
(* eps (- (* 1/8 (pow eps 2)) 1/2))
(* eps (- (* (pow eps 2) (+ 1/8 (* -7/720 (pow eps 2)))) 1/2))
(* eps (- (* (pow eps 2) (+ 1/8 (* (pow eps 2) (- (* 5/24192 (pow eps 2)) 7/720)))) 1/2))
(* -1/2 (/ (- 1 (cos (* 2 eps))) eps))
(/ (- (* 1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (* 1/2 (- 1 (cos (* 2 eps))))) eps)
(/ (- (* -1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (* 2 eps)))) (pow eps 2))) (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (* 1/2 (- 1 (cos (* 2 eps)))))) eps)
(/ (- (* 1/2 (/ (* (pow (sin eps) 3) (- 1 (cos (* 2 eps)))) (pow eps 3))) (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (+ (* 1/2 (- 1 (cos (* 2 eps)))) (* 1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (* 2 eps)))) (pow eps 2)))))) eps)
(* -1/2 (/ (- 1 (cos (neg (* -2 eps)))) eps))
(* -1 (/ (- (* -1/2 (/ (* (sin eps) (- 1 (cos (neg (* -2 eps))))) eps)) (* -1/2 (- 1 (cos (neg (* -2 eps)))))) eps))
(* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (neg (* -2 eps))))) eps)) (* -1/2 (* (sin eps) (- 1 (cos (neg (* -2 eps))))))) eps)) (* -1/2 (- 1 (cos (neg (* -2 eps)))))) eps))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1/2 (/ (* (pow (sin eps) 3) (- 1 (cos (neg (* -2 eps))))) eps)) (* -1/2 (* (pow (sin eps) 2) (- 1 (cos (neg (* -2 eps))))))) eps)) (* -1/2 (* (sin eps) (- 1 (cos (neg (* -2 eps))))))) eps)) (* -1/2 (- 1 (cos (neg (* -2 eps)))))) eps))
(* 1/2 eps)
(* eps (+ 1/2 (* -1/8 (pow eps 2))))
(* eps (+ 1/2 (* (pow eps 2) (- (* 7/720 (pow eps 2)) 1/8))))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 7/720 (* -5/24192 (pow eps 2)))) 1/8))))
(* 1/2 (/ (- 1 (cos (* 2 eps))) eps))
(/ (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (* 1/2 (- 1 (cos (* 2 eps))))) eps)
(/ (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (+ (* 1/2 (- 1 (cos (* 2 eps)))) (* 1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (* 2 eps)))) (pow eps 2))))) eps)
(/ (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (+ (* -1/2 (/ (* (pow (sin eps) 3) (- 1 (cos (* 2 eps)))) (pow eps 3))) (+ (* 1/2 (- 1 (cos (* 2 eps)))) (* 1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (* 2 eps)))) (pow eps 2)))))) eps)
(* 1/2 (/ (- 1 (cos (neg (* -2 eps)))) eps))
(* -1 (/ (+ (* -1/2 (- 1 (cos (neg (* -2 eps))))) (* 1/2 (/ (* (sin eps) (- 1 (cos (neg (* -2 eps))))) eps))) eps))
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sin eps) (- 1 (cos (neg (* -2 eps)))))) (* 1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (neg (* -2 eps))))) eps))) eps)) (* -1/2 (- 1 (cos (neg (* -2 eps)))))) eps))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (sin eps) 2) (- 1 (cos (neg (* -2 eps)))))) (* 1/2 (/ (* (pow (sin eps) 3) (- 1 (cos (neg (* -2 eps))))) eps))) eps)) (* -1/2 (* (sin eps) (- 1 (cos (neg (* -2 eps))))))) eps)) (* -1/2 (- 1 (cos (neg (* -2 eps)))))) 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)))))
(* 1/6 (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)))
(* 2 (pow eps 2))
(* (pow eps 2) (+ 2 (* -2/3 (pow eps 2))))
(* (pow eps 2) (+ 2 (* (pow eps 2) (- (* 4/45 (pow eps 2)) 2/3))))
(* (pow eps 2) (+ 2 (* (pow eps 2) (- (* (pow eps 2) (+ 4/45 (* -2/315 (pow eps 2)))) 2/3))))
(- 1 (cos (* 2 eps)))
(- 1 (cos (* 2 eps)))
(- 1 (cos (* 2 eps)))
(- 1 (cos (* 2 eps)))
(- 1 (cos (neg (* -2 eps))))
(- 1 (cos (neg (* -2 eps))))
(- 1 (cos (neg (* -2 eps))))
(- 1 (cos (neg (* -2 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 (/.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 (+.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)))) (/.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 (+.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)))) (/.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 #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)))) (.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 #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)))) (.f64 (.f64 eps eps) (.f64 eps eps)))
(* 27/112000 (pow eps 4))
(.f64 #s(literal 27/112000 binary64) (.f64 (.f64 eps eps) (.f64 eps eps)))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (.f64 (.f64 eps eps) (*.f64 eps eps)))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (+.f64 (/.f64 #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)))) (.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 #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)))) (.f64 (.f64 eps eps) (.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 #s(literal 27/112000 binary64) (.f64 eps (*.f64 eps eps)))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 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 eps (.f64 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 eps (.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))))
(* 27/112000 (pow eps 3))
(.f64 #s(literal 27/112000 binary64) (.f64 eps (*.f64 eps eps)))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(.f64 eps (.f64 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 eps (.f64 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 eps (.f64 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 (* -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))
(* -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)))
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 (* -27/2800 (pow eps 2)))
(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #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))
(* -27/2800 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -27/2800 binary64))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)))))
(* -27/2800 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal -27/2800 binary64))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 eps (.f64 eps (+.f64 #s(literal -27/2800 binary64) (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)))))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
(* -27/2800 eps)
(*.f64 eps #s(literal -27/2800 binary64))
-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
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 eps (.f64 eps (cos.f64 eps)))) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (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))))))
(+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 eps eps) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (fma.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 eps (*.f64 eps (cos.f64 eps)))) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (*.f64 eps (cos.f64 eps))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps))) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (cos.f64 eps))) eps) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps))
-2
#s(literal -2 binary64)
(- (* -9/10 (pow eps 2)) 2)
(fma.f64 (*.f64 eps 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 (.f64 eps 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))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (* -1 (/ (sin eps) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))) (* -1 (/ (sin eps) eps)))
(+.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 eps) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 eps eps)) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 3)))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 eps (.f64 eps eps))) (fma.f64 (sin.f64 eps) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (*.f64 eps eps)) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (/ (sin eps) (cos eps)) (sin eps)) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
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(.f64 eps (fma.f64 eps (.f64 eps #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(* eps (+ 1/2 (* (pow eps 2) (- (* 7/720 (pow eps 2)) 1/8))))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 7/720 binary64)) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)))
(* eps (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 7/720 (* -5/24192 (pow eps 2)))) 1/8))))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -5/24192 binary64) #s(literal 7/720 binary64)) #s(literal -1/8 binary64))) #s(literal 1/2 binary64)))
(* 1/2 (/ (- 1 (cos (* 2 eps))) eps))
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64)))) (/.f64 #s(literal 1/2 binary64) eps))
(/ (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (* 1/2 (- 1 (cos (* 2 eps))))) eps)
(/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 (sin.f64 eps) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64)))) eps) #s(literal -1 binary64)) (cos.f64 (*.f64 eps #s(literal -2 binary64))))) eps)
(/ (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (+ (* 1/2 (- 1 (cos (* 2 eps)))) (* 1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (* 2 eps)))) (pow eps 2))))) eps)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64)))) (neg.f64 (sin.f64 eps)))) eps) (fma.f64 #s(literal 1/2 binary64) (neg.f64 (cos.f64 (.f64 eps #s(literal -2 binary64)))) #s(literal 1/2 binary64))) eps)
(/ (+ (* -1/2 (/ (* (sin eps) (- 1 (cos (* 2 eps)))) eps)) (+ (* -1/2 (/ (* (pow (sin eps) 3) (- 1 (cos (* 2 eps)))) (pow eps 3))) (+ (* 1/2 (- 1 (cos (* 2 eps)))) (* 1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (* 2 eps)))) (pow eps 2)))))) eps)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 eps) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64)))) eps) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 eps (.f64 eps eps))))) (.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))))))) eps)
(* 1/2 (/ (- 1 (cos (neg (* -2 eps)))) eps))
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64)))) (/.f64 #s(literal 1/2 binary64) eps))
(* -1 (/ (+ (* -1/2 (- 1 (cos (neg (* -2 eps))))) (* 1/2 (/ (* (sin eps) (- 1 (cos (neg (* -2 eps))))) eps))) eps))
(/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (fma.f64 (sin.f64 eps) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64)))) eps) #s(literal -1 binary64)) (cos.f64 (*.f64 eps #s(literal -2 binary64))))) eps)
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sin eps) (- 1 (cos (neg (* -2 eps)))))) (* 1/2 (/ (* (pow (sin eps) 2) (- 1 (cos (neg (* -2 eps))))) eps))) eps)) (* -1/2 (- 1 (cos (neg (* -2 eps)))))) eps))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64)))) (neg.f64 (sin.f64 eps)))) eps) (fma.f64 #s(literal 1/2 binary64) (neg.f64 (cos.f64 (.f64 eps #s(literal -2 binary64)))) #s(literal 1/2 binary64))) eps)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow (sin eps) 2) (- 1 (cos (neg (* -2 eps)))))) (* 1/2 (/ (* (pow (sin eps) 3) (- 1 (cos (neg (* -2 eps))))) eps))) eps)) (* -1/2 (* (sin eps) (- 1 (cos (neg (* -2 eps))))))) eps)) (* -1/2 (- 1 (cos (neg (* -2 eps)))))) eps))
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (neg.f64 (cos.f64 (.f64 eps #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64)))) (.f64 #s(literal -1/2 binary64) (sin.f64 eps))) (/.f64 (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64)))) (/.f64 #s(literal 1/2 binary64) eps)) (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 eps #s(literal -2 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))))) eps)) eps)) (neg.f64 eps))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
(* 27/112000 eps)
(*.f64 eps #s(literal 27/112000 binary64))
-27/2800
#s(literal -27/2800 binary64)
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64))
(* 27/112000 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* 27/112000 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 eps (.f64 eps (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (*.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 (.f64 eps 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 eps (.f64 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 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))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)
(* 2 (pow eps 2))
(.f64 eps (.f64 eps #s(literal 2 binary64)))
(* (pow eps 2) (+ 2 (* -2/3 (pow eps 2))))
(.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal 2 binary64))))
(* (pow eps 2) (+ 2 (* (pow eps 2) (- (* 4/45 (pow eps 2)) 2/3))))
(.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 4/45 binary64) #s(literal -2/3 binary64))) #s(literal 2 binary64)))
(* (pow eps 2) (+ 2 (* (pow eps 2) (- (* (pow eps 2) (+ 4/45 (* -2/315 (pow eps 2)))) 2/3))))
(.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -2/315 binary64)) #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))))
(- 1 (cos (* 2 eps)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))))
(- 1 (cos (* 2 eps)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))))
(- 1 (cos (* 2 eps)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))))
(- 1 (cos (* 2 eps)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))))
(- 1 (cos (neg (* -2 eps))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))))
(- 1 (cos (neg (* -2 eps))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))))
(- 1 (cos (neg (* -2 eps))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))))
(- 1 (cos (neg (* -2 eps))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 eps #s(literal -2 binary64))))

eval89.0ms (0.5%)

Memory: 16.4MiB live, 241.0MiB allocated
Compiler: Compiled 17 641 to 1 756 computations (90% saved)

prune142.0ms (0.7%)

Memory

-19.7MiB live, 180.8MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	647	3	650
Fresh	1	3	4
Picked	1	4	5
Done	0	1	1
Total	649	11	660

Accuracy

100.0%

Counts

660 → 11

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))
✓	99.8%	(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))
▶	99.5%	(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
	2.1%	(/.f64 (-.f64 (.f64 (neg.f64 eps) (-.f64 (tan.f64 eps) eps)) (.f64 (-.f64 (tan.f64 eps) eps) (neg.f64 (sin.f64 eps)))) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 2 binary64)))
▶	2.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps))
✓	2.4%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
▶	2.3%	(/.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 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps) (-.f64 eps (sin.f64 eps))))
✓	2.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps))))
▶	2.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (.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))))))
✓	98.5%	#s(literal -1/2 binary64)

Compiler

Compiled 299 to 171 computations (42.8% saved)

simplify395.0ms (2%)

Memory

-9.5MiB live, 552.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))
✓	cost-diff	0	(/.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps) (-.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	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps) (-.f64 eps (sin.f64 eps))))
✓	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	(tan.f64 eps)
✓	cost-diff	0	(-.f64 eps (tan.f64 eps))
✓	cost-diff	0	(/.f64 (-.f64 eps (tan.f64 eps)) (.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)))))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (.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))))))
✓	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 eps)
✓	cost-diff	0	(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))

Rules

12 492×	`lower-fma.f32`
12 478×	`lower-fma.f64`
4 332×	`lower-+.f64`
4 332×	`lower-+.f32`
3 658×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	376
0	76	356
1	188	351
2	519	343
3	1507	343
4	4533	343
0	8208	343

Stop Event

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

Calls

Call 1

Inputs
(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 (.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 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (.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))))))
#s(literal 1 binary64)
(/.f64 (-.f64 eps (tan.f64 eps)) (.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
(tan.f64 eps)
(.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 (.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 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 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64))
(.f64 eps (fma.f64 (.f64 eps 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))
#s(literal -1/362880 binary64)
#s(literal 1/5040 binary64)
#s(literal -1/120 binary64)
#s(literal 1/6 binary64)
(/.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 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps) (-.f64 eps (sin.f64 eps))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps) (-.f64 eps (sin.f64 eps)))
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
(/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))
(sin.f64 eps)
eps
(*.f64 eps (cos.f64 eps))
(cos.f64 eps)
(neg.f64 eps)
(-.f64 eps (sin.f64 eps))

Outputs
(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 (.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) (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 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 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 eps eps) (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 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 (.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 eps (.f64 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 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))
(fma.f64 eps (.f64 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) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64))
(fma.f64 eps (*.f64 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 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (.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 (.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 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)))
#s(literal 1 binary64)
(/.f64 (-.f64 eps (tan.f64 eps)) (.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 (-.f64 eps (tan.f64 eps)) (.f64 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 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
(tan.f64 eps)
(.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 (.f64 eps eps) (.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 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 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 eps (.f64 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 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 eps (.f64 eps (fma.f64 eps (.f64 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 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 (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64))) #s(literal -1/120 binary64))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)))
(.f64 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))
(fma.f64 eps (*.f64 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 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 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps) (-.f64 eps (sin.f64 eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps) (-.f64 eps (sin.f64 eps)))
(/.f64 (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 eps (sin.f64 eps)))
(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)))
(sin.f64 eps)
eps
(*.f64 eps (cos.f64 eps))
(cos.f64 eps)
(neg.f64 eps)
(-.f64 eps (sin.f64 eps))

localize723.0ms (3.7%)

Memory

-12.3MiB live, 1 044.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps) (-.f64 eps (sin.f64 eps))))
✓	accuracy	70.2%	(-.f64 eps (sin.f64 eps))
✓	accuracy	70.2%	(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
✓	accuracy	34.7%	(/.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps) (-.f64 eps (sin.f64 eps)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps)))
✓	accuracy	70.2%	(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps)
✓	accuracy	70.2%	(-.f64 eps (sin.f64 eps))
✓	accuracy	34.7%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 eps))) eps))
✓	accuracy	99.9%	(.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))))
✓	accuracy	99.7%	(.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)))
✓	accuracy	70.2%	(-.f64 eps (tan.f64 eps))
✓	accuracy	34.7%	(/.f64 (-.f64 eps (tan.f64 eps)) (.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)))))
✓	accuracy	99.8%	(.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	70.2%	(-.f64 eps (tan.f64 eps))
✓	accuracy	34.7%	(/.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 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)

Samples

451.0ms	135×	2	valid
110.0ms	43×	3	valid
55.0ms	72×	1	valid
2.0ms	6×	0	valid

Compiler

Compiled 415 to 48 computations (88.4% saved)

Precisions

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

ival-tan: 141.0ms (25.9% of total)

ival-sin: 96.0ms (17.6% of total)

ival-mult: 88.0ms (16.1% of total)

ival-cos: 65.0ms (11.9% of total)

ival-div: 59.0ms (10.8% of total)

adjust: 39.0ms (7.2% of total)

const: 25.0ms (4.6% of total)

ival-add: 19.0ms (3.5% of total)

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

ival-neg: 5.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.1%)

Memory

-1.3MiB live, 39.4MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))>
#<alt (*.f64 eps 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 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 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (.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))))))>
#<alt (/.f64 (-.f64 eps (tan.f64 eps)) (.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)))))>
#<alt (-.f64 eps (tan.f64 eps))>
#<alt (tan.f64 eps)>
#<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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps) (-.f64 eps (sin.f64 eps))))>
#<alt (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)>
#<alt (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps) (-.f64 eps (sin.f64 eps)))>
#<alt (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps)))>
#<alt (.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)))>
#<alt (.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))))>

Outputs
#<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 (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt (* -1/362880 (pow eps 8))>
#<alt (* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))>
#<alt (* (pow eps 8) (- (/ 1/5040 (pow eps 2)) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))>
#<alt (* (pow eps 8) (- (+ (/ 1/5040 (pow eps 2)) (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))>
#<alt (* -1/362880 (pow eps 8))>
#<alt (* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))>
#<alt (* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))>
#<alt (* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- (+ 1/5040 (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt (* -1/362880 (pow eps 9))>
#<alt (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* -1/362880 (pow eps 9))>
#<alt (* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))>
#<alt (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 -1/2>
#<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 -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 (/ -362880 (pow eps 8))>
#<alt (/ (- (* 362880 (/ (sin eps) (* eps (cos eps)))) 362880) (pow eps 8))>
#<alt (/ (- (* 362880 (/ (sin eps) (* eps (cos eps)))) (+ 362880 (/ 26127360 (pow eps 2)))) (pow eps 8))>
#<alt (/ (- (+ (* 362880 (/ (sin eps) (* eps (cos eps)))) (* 26127360 (/ (sin eps) (* (pow eps 3) (cos eps))))) (+ 362880 (/ 26127360 (pow eps 2)))) (pow eps 8))>
#<alt (/ -362880 (pow eps 8))>
#<alt (/ (- (* 362880 (/ (sin eps) (* eps (cos eps)))) 362880) (pow eps 8))>
#<alt (/ (- (* -1 (/ (+ (* -362880 (/ (sin eps) (cos eps))) (* 26127360 (/ 1 eps))) eps)) 362880) (pow eps 8))>
#<alt (/ (- (* -1 (/ (+ (* -362880 (/ (sin eps) (cos eps))) (* -1 (/ (- (* 26127360 (/ (sin eps) (* eps (cos eps)))) 26127360) eps))) eps)) 362880) (pow eps 8))>
#<alt (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt eps>
#<alt (* eps (+ 1 (* 1/3 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))>
#<alt (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt -1>
#<alt (- (* -1/2 (pow eps 2)) 1)>
#<alt (- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1)>
#<alt (- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 1)>
#<alt (/ -1 (cos eps))>
#<alt (/ -1 (cos eps))>
#<alt (/ -1 (cos eps))>
#<alt (/ -1 (cos eps))>
#<alt (/ -1 (cos eps))>
#<alt (/ -1 (cos eps))>
#<alt (/ -1 (cos eps))>
#<alt (/ -1 (cos eps))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -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 (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt -2>
#<alt (- (* -9/10 (pow eps 2)) 2)>
#<alt (- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)>
#<alt (- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (* -1 (/ (sin eps) eps)))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))) (* -1 (/ (sin eps) eps)))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 3)))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (* -1 (/ (sin eps) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (* -1 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) eps))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (* -1 (/ (+ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) eps)) eps))) eps)))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow eps 2)))>
#<alt (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))>
#<alt (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))>
#<alt (/ (sin eps) (* eps (cos eps)))>
#<alt (/ (sin eps) (* eps (cos eps)))>
#<alt (/ (sin eps) (* eps (cos eps)))>
#<alt (/ (sin eps) (* eps (cos eps)))>
#<alt (/ (sin eps) (* eps (cos eps)))>
#<alt (/ (sin eps) (* eps (cos eps)))>
#<alt (/ (sin eps) (* eps (cos eps)))>
#<alt (/ (sin eps) (* eps (cos 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 (* 1/6 (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)))))))>

Calls

57 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)) (- eps (tan eps)))
1.0ms	eps	@	-inf	(/ 1 (/ (- eps (tan eps)) (* eps (* (* eps eps) (+ (* (* eps eps) (+ (* eps (* eps (+ (* (* eps eps) -1/362880) 1/5040))) -1/120)) 1/6)))))
1.0ms	eps	@	-inf	(/ (sin eps) (* eps (cos eps)))
1.0ms	eps	@	inf	(/ (sin eps) (* eps (cos eps)))
1.0ms	eps	@	-inf	(/ (+ (* (/ (sin eps) (* eps (cos eps))) (neg eps)) eps) (- eps (sin eps)))

rewrite449.0ms (2.3%)

Memory

24.5MiB live, 583.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 826×	`lower-/.f32`
4 810×	`lower-/.f64`
4 656×	`lower-*.f32`
4 642×	`lower-*.f64`
2 690×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	251
0	76	231
1	366	212
2	2524	212
0	8388	212

Stop Event

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

Counts

19 → 1 092

Calls

Call 1

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

Outputs
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 9/40 binary64)))
(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
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simplify720.0ms (3.7%)

Memory

-5.5MiB live, 654.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 130×	`lower-fma.f64`
11 130×	`lower-fma.f32`
4 866×	`lower-*.f64`
4 866×	`lower-*.f32`
3 906×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	317	2927
1	917	2798
2	2903	2680
0	8449	2539

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 219

Calls

Call 1

Inputs
-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)))))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
(* (pow eps 8) (- (/ 1/5040 (pow eps 2)) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(* (pow eps 8) (- (+ (/ 1/5040 (pow eps 2)) (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* (pow eps 3) (cos eps)))) (+ 1/362880 (+ (* 1/362880 (/ (sin eps) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
(* -1/362880 (pow eps 8))
(* (pow eps 8) (- (* -1/362880 (/ (sin eps) (* eps (cos eps)))) 1/362880))
(* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))
(* (pow eps 8) (- (* -1 (/ (- (* -1 (/ (- (+ 1/5040 (/ (* (sin eps) (- 1/5040 (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (* 1/362880 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1/362880 (/ (sin eps) (cos eps)))) eps)) 1/362880))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -1/362880 (pow eps 9))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 9))
(* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
(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)
-1/2
(- (* 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))
-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)
(/ -362880 (pow eps 8))
(/ (- (* 362880 (/ (sin eps) (* eps (cos eps)))) 362880) (pow eps 8))
(/ (- (* 362880 (/ (sin eps) (* eps (cos eps)))) (+ 362880 (/ 26127360 (pow eps 2)))) (pow eps 8))
(/ (- (+ (* 362880 (/ (sin eps) (* eps (cos eps)))) (* 26127360 (/ (sin eps) (* (pow eps 3) (cos eps))))) (+ 362880 (/ 26127360 (pow eps 2)))) (pow eps 8))
(/ -362880 (pow eps 8))
(/ (- (* 362880 (/ (sin eps) (* eps (cos eps)))) 362880) (pow eps 8))
(/ (- (* -1 (/ (+ (* -362880 (/ (sin eps) (cos eps))) (* 26127360 (/ 1 eps))) eps)) 362880) (pow eps 8))
(/ (- (* -1 (/ (+ (* -362880 (/ (sin eps) (cos eps))) (* -1 (/ (- (* 26127360 (/ (sin eps) (* eps (cos eps)))) 26127360) eps))) eps)) 362880) (pow eps 8))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
eps
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
-1
(- (* -1/2 (pow eps 2)) 1)
(- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 1)
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
(/ -1 (cos eps))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -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)))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
-2
(- (* -9/10 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2)
1
(- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (* -1 (/ (sin eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))) (* -1 (/ (sin eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 3)))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))))
1
(- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (* -1 (/ (sin eps) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (* -1 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) eps))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (* -1 (/ (+ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) eps)) eps))) eps)))
1
(+ 1 (* 1/3 (pow eps 2)))
(+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2)))))
(+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2)))))))
(/ (sin eps) (* eps (cos eps)))
(/ (sin eps) (* eps (cos eps)))
(/ (sin eps) (* eps (cos eps)))
(/ (sin eps) (* eps (cos eps)))
(/ (sin eps) (* eps (cos eps)))
(/ (sin eps) (* eps (cos eps)))
(/ (sin eps) (* eps (cos eps)))
(/ (sin eps) (* eps (cos 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)))))
(* 1/6 (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)))))))

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

eval232.0ms (1.2%)

Memory: -12.4MiB live, 375.0MiB allocated
Compiler: Compiled 54 690 to 3 798 computations (93.1% saved)

prune229.0ms (1.2%)

Memory

12.1MiB live, 407.0MiB allocated

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	1 572	4	1 576
Fresh	1	0	1
Picked	1	4	5
Done	0	5	5
Total	1 574	13	1 587

Accuracy

100.0%

Counts

1 587 → 13

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))
✓	99.8%	(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))
✓	99.5%	(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
▶	2.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps))
▶	2.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps))
✓	2.4%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
✓	2.3%	(/.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 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps) (-.f64 eps (sin.f64 eps))))
▶	2.1%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 #s(literal -1 binary64) (/.f64 eps (sin.f64 eps))) eps) (-.f64 eps (sin.f64 eps))))
▶	5.1%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (.f64 eps (sin.f64 eps))) (/.f64 #s(literal 1 binary64) (.f64 eps (cos.f64 eps))) eps) (-.f64 eps (sin.f64 eps))))
✓	2.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps))))
✓	2.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (.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))))))
✓	98.5%	#s(literal -1/2 binary64)

Compiler

Compiled 209 to 123 computations (41.1% saved)

simplify584.0ms (3%)

Memory

6.1MiB live, 326.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 eps)
✓	cost-diff	0	(-.f64 eps (sin.f64 eps))
✓	cost-diff	0	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps))
✓	cost-diff	640	(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
✓	cost-diff	0	(sin.f64 eps)
✓	cost-diff	0	(-.f64 eps (sin.f64 eps))
✓	cost-diff	0	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps))
✓	cost-diff	192	(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)
✓	cost-diff	0	(/.f64 (fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 #s(literal -1 binary64) (/.f64 eps (sin.f64 eps))) eps) (-.f64 eps (sin.f64 eps)))
✓	cost-diff	576	(/.f64 #s(literal -1 binary64) (/.f64 eps (sin.f64 eps)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 #s(literal -1 binary64) (/.f64 eps (sin.f64 eps))) eps) (-.f64 eps (sin.f64 eps))))
✓	cost-diff	1024	(fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 #s(literal -1 binary64) (/.f64 eps (sin.f64 eps))) eps)
✓	cost-diff	0	(neg.f64 (*.f64 eps (sin.f64 eps)))
✓	cost-diff	0	(/.f64 (fma.f64 (neg.f64 (.f64 eps (sin.f64 eps))) (/.f64 #s(literal 1 binary64) (.f64 eps (cos.f64 eps))) eps) (-.f64 eps (sin.f64 eps)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (.f64 eps (sin.f64 eps))) (/.f64 #s(literal 1 binary64) (.f64 eps (cos.f64 eps))) eps) (-.f64 eps (sin.f64 eps))))
✓	cost-diff	960	(fma.f64 (neg.f64 (.f64 eps (sin.f64 eps))) (/.f64 #s(literal 1 binary64) (.f64 eps (cos.f64 eps))) eps)

Rules

4 040×	`lower-fma.f32`
4 032×	`lower-fma.f64`
3 018×	`lower-*.f32`
3 014×	`lower-*.f64`
1 958×	`lower-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	237
0	53	258
1	103	237
2	231	229
3	630	189
4	1515	189
5	3345	189
6	6396	189
7	7490	189
0	8046	189

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (.f64 eps (sin.f64 eps))) (/.f64 #s(literal 1 binary64) (.f64 eps (cos.f64 eps))) eps) (-.f64 eps (sin.f64 eps))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (neg.f64 (.f64 eps (sin.f64 eps))) (/.f64 #s(literal 1 binary64) (.f64 eps (cos.f64 eps))) eps) (-.f64 eps (sin.f64 eps)))
(fma.f64 (neg.f64 (.f64 eps (sin.f64 eps))) (/.f64 #s(literal 1 binary64) (.f64 eps (cos.f64 eps))) eps)
(neg.f64 (*.f64 eps (sin.f64 eps)))
(*.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
(/.f64 #s(literal 1 binary64) (*.f64 eps (cos.f64 eps)))
(*.f64 eps (cos.f64 eps))
(cos.f64 eps)
(-.f64 eps (sin.f64 eps))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 #s(literal -1 binary64) (/.f64 eps (sin.f64 eps))) eps) (-.f64 eps (sin.f64 eps))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 #s(literal -1 binary64) (/.f64 eps (sin.f64 eps))) eps) (-.f64 eps (sin.f64 eps)))
(fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 #s(literal -1 binary64) (/.f64 eps (sin.f64 eps))) eps)
(/.f64 eps (cos.f64 eps))
eps
(cos.f64 eps)
(/.f64 #s(literal -1 binary64) (/.f64 eps (sin.f64 eps)))
#s(literal -1 binary64)
(/.f64 eps (sin.f64 eps))
(sin.f64 eps)
(-.f64 eps (sin.f64 eps))
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
#s(literal -1 binary64)
(cos.f64 eps)
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
(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)

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (.f64 eps (sin.f64 eps))) (/.f64 #s(literal 1 binary64) (.f64 eps (cos.f64 eps))) eps) (-.f64 eps (sin.f64 eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (neg.f64 (.f64 eps (sin.f64 eps))) (/.f64 #s(literal 1 binary64) (.f64 eps (cos.f64 eps))) eps) (-.f64 eps (sin.f64 eps)))
(/.f64 (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 eps (sin.f64 eps)))
(fma.f64 (neg.f64 (.f64 eps (sin.f64 eps))) (/.f64 #s(literal 1 binary64) (.f64 eps (cos.f64 eps))) eps)
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(neg.f64 (*.f64 eps (sin.f64 eps)))
(*.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
(/.f64 #s(literal 1 binary64) (*.f64 eps (cos.f64 eps)))
(*.f64 eps (cos.f64 eps))
(cos.f64 eps)
(-.f64 eps (sin.f64 eps))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 #s(literal -1 binary64) (/.f64 eps (sin.f64 eps))) eps) (-.f64 eps (sin.f64 eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))))
#s(literal 1 binary64)
(/.f64 (fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 #s(literal -1 binary64) (/.f64 eps (sin.f64 eps))) eps) (-.f64 eps (sin.f64 eps)))
(/.f64 (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))) (-.f64 eps (sin.f64 eps)))
(fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 #s(literal -1 binary64) (/.f64 eps (sin.f64 eps))) eps)
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 eps (cos.f64 eps))
eps
(cos.f64 eps)
(/.f64 #s(literal -1 binary64) (/.f64 eps (sin.f64 eps)))
(neg.f64 (/.f64 (sin.f64 eps) eps))
#s(literal -1 binary64)
(/.f64 eps (sin.f64 eps))
(sin.f64 eps)
(-.f64 eps (sin.f64 eps))
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps))))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)
(-.f64 eps (/.f64 (sin.f64 eps) (cos.f64 eps)))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
#s(literal -1 binary64)
(cos.f64 eps)
(/.f64 (-.f64 eps (sin.f64 eps)) (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))))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
(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)

localize622.0ms (3.2%)

Memory

-17.9MiB live, 661.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 eps (cos.f64 eps))
✓	accuracy	70.2%	(-.f64 eps (sin.f64 eps))
✓	accuracy	70.2%	(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)
✓	accuracy	34.7%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) (cos.f64 eps))
✓	accuracy	70.2%	(fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)
✓	accuracy	70.2%	(-.f64 eps (sin.f64 eps))
✓	accuracy	34.7%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 #s(literal -1 binary64) (/.f64 eps (sin.f64 eps))) eps) (-.f64 eps (sin.f64 eps))))
✓	accuracy	70.3%	(fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 #s(literal -1 binary64) (/.f64 eps (sin.f64 eps))) eps)
✓	accuracy	70.2%	(-.f64 eps (sin.f64 eps))
✓	accuracy	34.7%	(/.f64 (fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 #s(literal -1 binary64) (/.f64 eps (sin.f64 eps))) eps) (-.f64 eps (sin.f64 eps)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (.f64 eps (sin.f64 eps))) (/.f64 #s(literal 1 binary64) (.f64 eps (cos.f64 eps))) eps) (-.f64 eps (sin.f64 eps))))
✓	accuracy	70.2%	(-.f64 eps (sin.f64 eps))
✓	accuracy	34.7%	(/.f64 (fma.f64 (neg.f64 (.f64 eps (sin.f64 eps))) (/.f64 #s(literal 1 binary64) (.f64 eps (cos.f64 eps))) eps) (-.f64 eps (sin.f64 eps)))
✓	accuracy	8.0%	(fma.f64 (neg.f64 (.f64 eps (sin.f64 eps))) (/.f64 #s(literal 1 binary64) (.f64 eps (cos.f64 eps))) eps)

Samples

381.0ms	135×	2	valid
106.0ms	43×	3	valid
68.0ms	72×	1	valid
1.0ms	6×	0	valid

Compiler

Compiled 249 to 32 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 503.0ms

ival-sin: 168.0ms (33.4% of total)

ival-cos: 103.0ms (20.5% of total)

ival-div: 97.0ms (19.3% of total)

ival-neg: 47.0ms (9.3% of total)

ival-mult: 39.0ms (7.8% of total)

ival-add: 24.0ms (4.8% of total)

adjust: 21.0ms (4.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series7.0ms (0%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (fma.f64 (neg.f64 (.f64 eps (sin.f64 eps))) (/.f64 #s(literal 1 binary64) (.f64 eps (cos.f64 eps))) eps)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (.f64 eps (sin.f64 eps))) (/.f64 #s(literal 1 binary64) (.f64 eps (cos.f64 eps))) eps) (-.f64 eps (sin.f64 eps))))>
#<alt (/.f64 (fma.f64 (neg.f64 (.f64 eps (sin.f64 eps))) (/.f64 #s(literal 1 binary64) (.f64 eps (cos.f64 eps))) eps) (-.f64 eps (sin.f64 eps)))>
#<alt (neg.f64 (*.f64 eps (sin.f64 eps)))>
#<alt (fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 #s(literal -1 binary64) (/.f64 eps (sin.f64 eps))) eps)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 #s(literal -1 binary64) (/.f64 eps (sin.f64 eps))) eps) (-.f64 eps (sin.f64 eps))))>
#<alt (/.f64 #s(literal -1 binary64) (/.f64 eps (sin.f64 eps)))>
#<alt (/.f64 (fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 #s(literal -1 binary64) (/.f64 eps (sin.f64 eps))) eps) (-.f64 eps (sin.f64 eps)))>
#<alt (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps)>
#<alt (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps))>
#<alt (-.f64 eps (sin.f64 eps))>
#<alt (sin.f64 eps)>
#<alt (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps)>
#<alt (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps))>
#<alt (/.f64 #s(literal -1 binary64) (cos.f64 eps))>
#<alt (*.f64 eps (cos.f64 eps))>

Outputs
#<alt (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))>
#<alt -2>
#<alt (- (* -9/10 (pow eps 2)) 2)>
#<alt (- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)>
#<alt (- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (* -1 (/ (sin eps) eps)))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))) (* -1 (/ (sin eps) eps)))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 3)))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (* -1 (/ (sin eps) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (* -1 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) eps))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (* -1 (/ (+ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) eps)) eps))) eps)))>
#<alt (* -1 (pow eps 2))>
#<alt (* (pow eps 2) (- (* 1/6 (pow eps 2)) 1))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2)))) 1))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) 1))>
#<alt (* -1 (* eps (sin eps)))>
#<alt (* -1 (* eps (sin eps)))>
#<alt (* -1 (* eps (sin eps)))>
#<alt (* -1 (* eps (sin eps)))>
#<alt (* -1 (* eps (sin eps)))>
#<alt (* -1 (* eps (sin eps)))>
#<alt (* -1 (* eps (sin eps)))>
#<alt (* -1 (* eps (sin eps)))>
#<alt (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (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>
#<alt (- (* 1/6 (pow eps 2)) 1)>
#<alt (- (* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2)))) 1)>
#<alt (- (* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) 1)>
#<alt (* -1 (/ (sin eps) eps))>
#<alt (* -1 (/ (sin eps) eps))>
#<alt (* -1 (/ (sin eps) eps))>
#<alt (* -1 (/ (sin eps) eps))>
#<alt (* -1 (/ (sin eps) eps))>
#<alt (* -1 (/ (sin eps) eps))>
#<alt (* -1 (/ (sin eps) eps))>
#<alt (* -1 (/ (sin eps) eps))>
#<alt -2>
#<alt (- (* -9/10 (pow eps 2)) 2)>
#<alt (- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)>
#<alt (- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (* -1 (/ (sin eps) eps)))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))) (* -1 (/ (sin eps) eps)))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 3)))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (* -1 (/ (sin eps) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (* -1 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) eps))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (* -1 (/ (+ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) eps)) eps))) eps)))>
#<alt (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt eps>
#<alt (* eps (+ 1 (* -1/6 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (sin eps)>
#<alt (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt -1/2>
#<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>
#<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 eps>
#<alt (* eps (+ 1 (* -1/2 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))>
#<alt (* eps (cos eps))>
#<alt (* eps (cos eps))>
#<alt (* eps (cos eps))>
#<alt (* eps (cos eps))>
#<alt (* eps (cos eps))>
#<alt (* eps (cos eps))>
#<alt (* eps (cos eps))>
#<alt (* eps (cos eps))>

Calls

48 calls:

Time	Variable		Point	Expression
1.0ms	eps	@	-inf	(* eps (cos eps))
0.0ms	eps	@	-inf	(neg (* eps (sin eps)))
0.0ms	eps	@	inf	(neg (* eps (sin eps)))
0.0ms	eps	@	inf	(* eps (cos eps))
0.0ms	eps	@	inf	(/ -1 (/ eps (sin eps)))

rewrite388.0ms (2%)

Memory

-9.9MiB live, 599.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 836×	`lower-/.f32`
4 816×	`lower-/.f64`
4 394×	`lower-fma.f32`
4 386×	`lower-fma.f64`
4 314×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	172
0	53	173
1	227	158
2	1947	130
0	8149	128

Stop Event

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

Counts

16 → 1 245

Calls

Call 1

Inputs
(fma.f64 (neg.f64 (.f64 eps (sin.f64 eps))) (/.f64 #s(literal 1 binary64) (.f64 eps (cos.f64 eps))) eps)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (.f64 eps (sin.f64 eps))) (/.f64 #s(literal 1 binary64) (.f64 eps (cos.f64 eps))) eps) (-.f64 eps (sin.f64 eps))))
(/.f64 (fma.f64 (neg.f64 (.f64 eps (sin.f64 eps))) (/.f64 #s(literal 1 binary64) (.f64 eps (cos.f64 eps))) eps) (-.f64 eps (sin.f64 eps)))
(neg.f64 (*.f64 eps (sin.f64 eps)))
(fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 #s(literal -1 binary64) (/.f64 eps (sin.f64 eps))) eps)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 #s(literal -1 binary64) (/.f64 eps (sin.f64 eps))) eps) (-.f64 eps (sin.f64 eps))))
(/.f64 #s(literal -1 binary64) (/.f64 eps (sin.f64 eps)))
(/.f64 (fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 #s(literal -1 binary64) (/.f64 eps (sin.f64 eps))) eps) (-.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 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) (sin.f64 eps) eps))
(-.f64 eps (sin.f64 eps))
(sin.f64 eps)
(fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.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 #s(literal -1 binary64) (cos.f64 eps))
(*.f64 eps (cos.f64 eps))

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

simplify426.0ms (2.2%)

Memory

-7.9MiB live, 666.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 266×	`lower-fma.f64`
14 266×	`lower-fma.f32`
5 420×	`lower-*.f64`
5 420×	`lower-*.f32`
2 470×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	232	2591
1	638	2353
2	2039	2162
3	6455	2033
0	8641	1922

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 180

Calls

Call 1

Inputs
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))
-2
(- (* -9/10 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2)
1
(- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (* -1 (/ (sin eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))) (* -1 (/ (sin eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 3)))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))))
1
(- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (* -1 (/ (sin eps) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (* -1 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) eps))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (* -1 (/ (+ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) eps)) eps))) eps)))
(* -1 (pow eps 2))
(* (pow eps 2) (- (* 1/6 (pow eps 2)) 1))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2)))) 1))
(* (pow eps 2) (- (* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) 1))
(* -1 (* eps (sin eps)))
(* -1 (* eps (sin eps)))
(* -1 (* eps (sin eps)))
(* -1 (* eps (sin eps)))
(* -1 (* eps (sin eps)))
(* -1 (* eps (sin eps)))
(* -1 (* eps (sin eps)))
(* -1 (* eps (sin eps)))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (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
(- (* 1/6 (pow eps 2)) 1)
(- (* (pow eps 2) (+ 1/6 (* -1/120 (pow eps 2)))) 1)
(- (* (pow eps 2) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120)))) 1)
(* -1 (/ (sin eps) eps))
(* -1 (/ (sin eps) eps))
(* -1 (/ (sin eps) eps))
(* -1 (/ (sin eps) eps))
(* -1 (/ (sin eps) eps))
(* -1 (/ (sin eps) eps))
(* -1 (/ (sin eps) eps))
(* -1 (/ (sin eps) eps))
-2
(- (* -9/10 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2)
1
(- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (* -1 (/ (sin eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))) (* -1 (/ (sin eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 3)))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))))
1
(- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (* -1 (/ (sin eps) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (* -1 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) eps))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (* -1 (/ (+ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) eps)) eps))) eps)))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(sin eps)
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
-1/2
(- (* 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
(- (* -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))
eps
(* eps (+ 1 (* -1/2 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
(* eps (cos eps))
(* eps (cos eps))
(* eps (cos eps))
(* eps (cos eps))
(* eps (cos eps))
(* eps (cos eps))
(* eps (cos eps))
(* eps (cos eps))

Outputs
(* -1/3 (pow eps 3))
(.f64 #s(literal -1/3 binary64) (.f64 eps (*.f64 eps eps)))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 (.f64 eps (.f64 eps 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 (.f64 eps (.f64 eps 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 (.f64 eps eps)) (fma.f64 (.f64 eps 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)))
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(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) (/.f64 (neg.f64 (.f64 (sin.f64 eps) (.f64 (*.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))))) eps)) eps))
(* -1/3 (pow eps 3))
(.f64 #s(literal -1/3 binary64) (.f64 eps (*.f64 eps eps)))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 (.f64 eps (.f64 eps 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 (.f64 eps (.f64 eps 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 (.f64 eps eps)) (fma.f64 (.f64 eps 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)))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 eps (*.f64 eps #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))
(- (* (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 (*.f64 eps 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 (.f64 eps 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) 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 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))) eps))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) (/.f64 (.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) eps)) eps))
(* 1/6 (pow eps 3))
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal 1/6 binary64))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps 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 (.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 (.f64 eps (.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 (*.f64 eps 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 eps (.f64 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 #s(literal -1/3 binary64) (.f64 eps (*.f64 eps eps)))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 (.f64 eps (.f64 eps 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 (.f64 eps (.f64 eps 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 (.f64 eps eps)) (fma.f64 (.f64 eps 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)))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 eps (*.f64 eps #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))
(- (* (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 (*.f64 eps 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 (.f64 eps 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) 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 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (cos eps))))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (-.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))))) eps))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* eps (pow (cos eps) 2)))) eps))) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) (/.f64 (.f64 (.f64 (sin.f64 eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps)))) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) eps)) eps))
-1
#s(literal -1 binary64)
(- (* -1/2 (pow eps 2)) 1)
(fma.f64 eps (*.f64 eps #s(literal -1/2 binary64)) #s(literal -1 binary64))
(- (* (pow eps 2) (- (* -5/24 (pow eps 2)) 1/2)) 1)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -5/24 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -61/720 (pow eps 2)) 5/24)) 1/2)) 1)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal -61/720 binary64)) #s(literal -5/24 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/ -1 (cos eps))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
(/ -1 (cos eps))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
(/ -1 (cos eps))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
(/ -1 (cos eps))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
(/ -1 (cos eps))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
(/ -1 (cos eps))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
(/ -1 (cos eps))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
(/ -1 (cos eps))
(/.f64 #s(literal -1 binary64) (cos.f64 eps))
eps
(* eps (+ 1 (* -1/2 (pow eps 2))))
(fma.f64 eps (.f64 (.f64 eps eps) #s(literal -1/2 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* 1/24 (pow eps 2)) 1/2))))
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (*.f64 eps #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/24 (* -1/720 (pow eps 2)))) 1/2))))
(fma.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) eps)
(* eps (cos eps))
(*.f64 eps (cos.f64 eps))
(* eps (cos eps))
(*.f64 eps (cos.f64 eps))
(* eps (cos eps))
(*.f64 eps (cos.f64 eps))
(* eps (cos eps))
(*.f64 eps (cos.f64 eps))
(* eps (cos eps))
(*.f64 eps (cos.f64 eps))
(* eps (cos eps))
(*.f64 eps (cos.f64 eps))
(* eps (cos eps))
(*.f64 eps (cos.f64 eps))
(* eps (cos eps))
(*.f64 eps (cos.f64 eps))

eval169.0ms (0.9%)

Memory: 56.5MiB live, 390.4MiB allocated
Compiler: Compiled 45 167 to 2 748 computations (93.9% saved)

prune129.0ms (0.7%)

Memory

-36.5MiB live, 295.0MiB allocated

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	1 683	4	1 687
Fresh	0	0	0
Picked	3	1	4
Done	1	8	9
Total	1 687	13	1 700

Accuracy

100.0%

Counts

1 700 → 13

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))
✓	99.8%	(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))
✓	99.5%	(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
	2.3%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 (/.f64 eps (cos.f64 eps)) (/.f64 eps (sin.f64 eps))) #s(literal -1 binary64) eps))
✓	2.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps))
	5.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (cos.f64 eps))) (neg.f64 (.f64 eps (sin.f64 eps))) eps))
	5.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal 1 binary64) eps) (.f64 eps (.f64 #s(literal -1 binary64) (tan.f64 eps))) eps))
✓	2.4%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
✓	2.3%	(/.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)))
	2.6%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 eps (cos.f64 eps)) (*.f64 (/.f64 #s(literal -1 binary64) eps) (sin.f64 eps)) eps) (-.f64 eps (sin.f64 eps))))
✓	2.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps))))
✓	2.3%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (.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))))))
✓	98.5%	#s(literal -1/2 binary64)

Compiler

Compiled 546 to 226 computations (58.6% saved)

regimes12.0ms (0.1%)

Memory

26.0MiB live, 26.0MiB allocated

Counts

21 → 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 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 (.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 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (.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 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 eps (sin.f64 eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal 1 binary64) eps) (.f64 eps (.f64 #s(literal -1 binary64) (tan.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 eps (sin.f64 eps)) (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 eps (cos.f64 eps))) (neg.f64 (.f64 eps (sin.f64 eps))) eps))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps) eps) (-.f64 eps (sin.f64 eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (/.f64 (/.f64 eps (cos.f64 eps)) (/.f64 eps (sin.f64 eps))) #s(literal -1 binary64) eps))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (.f64 eps (sin.f64 eps))) (/.f64 #s(literal 1 binary64) (.f64 eps (cos.f64 eps))) eps) (-.f64 eps (sin.f64 eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 eps (cos.f64 eps)) (*.f64 (/.f64 #s(literal -1 binary64) eps) (sin.f64 eps)) eps) (-.f64 eps (sin.f64 eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 #s(literal -1 binary64) (/.f64 eps (sin.f64 eps))) eps) (-.f64 eps (sin.f64 eps))))
(/.f64 (fma.f64 eps (/.f64 eps (+.f64 eps (sin.f64 eps))) (neg.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 (.f64 (neg.f64 eps) (-.f64 (tan.f64 eps) eps)) (.f64 (-.f64 (tan.f64 eps) eps) (neg.f64 (sin.f64 eps)))) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 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))

Calls

2 calls:

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

Results

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes6.0ms (0%)

Memory

-30.6MiB live, 7.3MiB allocated

Counts

4 → 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))

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:

4.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
2.0ms	eps

Results

Accuracy	Segments	Branch
99.8%	1	`eps`
99.8%	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

6.7MiB live, 6.7MiB 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
99.5%	1	`eps`
99.5%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes2.0ms (0%)

Memory

5.3MiB live, 5.3MiB 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
98.5%	1	`eps`
98.5%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify6.0ms (0%)

Memory

11.7MiB live, 11.7MiB 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)

soundness375.0ms (1.9%)

Memory

6.6MiB live, 218.8MiB 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)

preprocess58.0ms (0.3%)

Memory: -10.6MiB live, 113.6MiB 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

analyze377.0ms (1.9%)

sample9.7s (49.6%)

preprocess74.0ms (0.4%)

explain675.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify43.0ms (0.2%)

localize270.0ms (1.4%)

series4.0ms (0%)

rewrite322.0ms (1.6%)

simplify403.0ms (2.1%)

eval65.0ms (0.3%)

prune74.0ms (0.4%)

simplify288.0ms (1.5%)

localize795.0ms (4.1%)

series20.0ms (0.1%)

rewrite173.0ms (0.9%)

simplify523.0ms (2.7%)

eval89.0ms (0.5%)

prune142.0ms (0.7%)

simplify395.0ms (2%)

localize723.0ms (3.7%)

series19.0ms (0.1%)

rewrite449.0ms (2.3%)

simplify720.0ms (3.7%)

eval232.0ms (1.2%)

prune229.0ms (1.2%)

simplify584.0ms (3%)

localize622.0ms (3.2%)

series7.0ms (0%)

rewrite388.0ms (2%)

simplify426.0ms (2.2%)

eval169.0ms (0.9%)

prune129.0ms (0.7%)

regimes12.0ms (0.1%)

regimes6.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify6.0ms (0%)

soundness375.0ms (1.9%)

preprocess58.0ms (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