Metrics for sintan (problem 3.4.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze371.0ms (1.9%)

Memory

23.7MiB live, 449.0MiB 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)

sample9.9s (51.1%)

Memory

96.3MiB live, 10 942.3MiB allocated

Samples

7.3s	4 507×	2	valid
1.4s	1 183×	3	valid
617.0ms	2 443×	1	valid
12.0ms	123×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.8s

ival-tan: 5.1s (57.6% of total)

ival-sin: 2.6s (29.1% of total)

adjust: 316.0ms (3.6% of total)

const: 313.0ms (3.5% of total)

ival-sub: 309.0ms (3.5% of total)

ival-div: 168.0ms (1.9% of total)

ival-<=: 53.0ms (0.6% of total)

ival-and: 13.0ms (0.1% of total)

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

Bogosity

explain530.0ms (2.7%)

Memory

14.1MiB live, 977.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
173	-	5	(-7.919328228931571e-105)	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
88	-	1	(-0.24869873145123803)	`(-.f64 eps (sin.f64 eps))`
87	-	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	168	0
↳	`(-.f64 eps (sin.f64 eps))`	underflow	168
↳	`(-.f64 eps (tan.f64 eps))`	underflow	168
`-.f64`	`(-.f64 eps (sin.f64 eps))`	cancellation	87	1
`-.f64`	`(-.f64 eps (tan.f64 eps))`	cancellation	87	1

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	168
2	87

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

358.0ms	282×	2	valid
80.0ms	78×	3	valid
30.0ms	148×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 441.0ms

ival-tan: 254.0ms (57.6% of total)

ival-sin: 141.0ms (32% of total)

ival-sub: 18.0ms (4.1% of total)

adjust: 17.0ms (3.9% of total)

ival-div: 11.0ms (2.5% of total)

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

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

preprocess60.0ms (0.3%)

Memory

-34.3MiB live, 121.9MiB allocated

Algorithm

1×	egg-herbie

Rules

320×	`lower-fma.f64`
320×	`lower-fma.f32`
310×	`dis-frac`
214×	`dis-frac`
192×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	29	23
2	84	18
3	269	18
4	579	18
5	753	18
6	854	18
7	892	18
8	991	18
0	6	9
0	11	9
1	18	9
2	34	9
3	75	9
4	161	9
5	285	9
6	521	9
7	779	9
8	825	9
9	924	9
0	924	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)

Compiler

Compiled 10 to 6 computations (40% saved)

eval1.0ms (0%)

Memory: 2.7MiB live, 2.7MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify28.0ms (0.1%)

Memory

25.3MiB live, 64.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 eps (tan.f64 eps))
cost-diff	0	(sin.f64 eps)
cost-diff	0	(-.f64 eps (sin.f64 eps))
cost-diff	0	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Rules

320×	`lower-fma.f64`
320×	`lower-fma.f32`
214×	`dis-frac`
192×	`lower-*.f64`
192×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	22
0	11	22
1	18	22
2	34	22
3	75	22
4	161	22
5	285	22
6	521	22
7	779	22
8	825	22
9	924	22
0	924	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)

localize263.0ms (1.4%)

Memory

-24.6MiB live, 454.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 eps)
accuracy	19.518199967032647	(-.f64 eps (tan.f64 eps))
accuracy	19.528170708021367	(-.f64 eps (sin.f64 eps))
accuracy	42.21035939501975	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Samples

182.0ms	141×	2	valid
47.0ms	39×	3	valid
16.0ms	74×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 233.0ms

ival-tan: 136.0ms (58.4% of total)

ival-sin: 67.0ms (28.8% of total)

ival-sub: 16.0ms (6.9% of total)

adjust: 11.0ms (4.7% of total)

ival-div: 3.0ms (1.3% of total)

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

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

series4.0ms (0%)

Memory

6.6MiB live, 6.6MiB 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))

simplify554.0ms (2.9%)

Memory

-9.8MiB live, 552.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 676×	`lower-fma.f64`
11 676×	`lower-fma.f32`
4 916×	`lower-*.f64`
4 916×	`lower-*.f32`
1 986×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	578
1	502	532
2	1920	484
0	8281	458

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 (*.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)))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 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)) (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) (/.f64 (-.f64 (/.f64 (.f64 (neg.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
#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 (sin.f64 eps) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 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 (neg.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 eps (.f64 eps (*.f64 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 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)))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(-.f64 eps (/.f64 (*.f64 (sin.f64 eps) eps) eps))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(-.f64 eps (/.f64 (*.f64 (sin.f64 eps) eps) eps))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(-.f64 eps (/.f64 (*.f64 (sin.f64 eps) eps) eps))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(-.f64 eps (/.f64 (*.f64 (sin.f64 eps) eps) eps))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(-.f64 eps (/.f64 (*.f64 (sin.f64 eps) eps) eps))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(-.f64 eps (/.f64 (*.f64 (sin.f64 eps) eps) eps))
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 (.f64 eps eps)) (fma.f64 (.f64 eps eps) #s(literal -2/15 binary64) #s(literal -1/3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (.f64 eps 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 (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 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 (.f64 (sin.f64 eps) eps) (.f64 eps (cos.f64 eps))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(-.f64 eps (/.f64 (.f64 (sin.f64 eps) eps) (.f64 eps (cos.f64 eps))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(-.f64 eps (/.f64 (.f64 (sin.f64 eps) eps) (.f64 eps (cos.f64 eps))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(-.f64 eps (/.f64 (.f64 (sin.f64 eps) eps) (.f64 eps (cos.f64 eps))))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(-.f64 eps (/.f64 (.f64 (sin.f64 eps) eps) (.f64 eps (cos.f64 eps))))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(-.f64 eps (/.f64 (.f64 (sin.f64 eps) eps) (.f64 eps (cos.f64 eps))))

rewrite254.0ms (1.3%)

Memory

47.2MiB live, 393.5MiB allocated

Rules

4 098×	`lower-*.f64`
4 098×	`lower-*.f32`
3 444×	`lower-/.f32`
3 442×	`lower-/.f64`
2 882×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
0	11	19
1	51	19
2	426	19
3	6268	19
0	8190	19

Stop Event

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

Counts

4 → 458

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

eval67.0ms (0.3%)

Memory: -3.5MiB live, 71.6MiB allocated
Compiler: Compiled 13 734 to 1 295 computations (90.6% saved)

prune80.0ms (0.4%)

Memory

-46.2MiB live, 141.1MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	493	8	501
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	493	9	502

Accuracy

100.0%

Counts

502 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.4%	(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 eps (tan.f64 eps))))
▶	1.1%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal -1 binary64) (-.f64 (sin.f64 eps) eps)))
▶	2.5%	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps)))))
✓	1.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
	1.0%	(/.f64 #s(approx (- eps (sin 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 (tan.f64 eps)))
▶	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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)))
▶	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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)))
	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
▶	99.5%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 264 to 150 computations (43.2% saved)

simplify251.0ms (1.3%)

Memory

42.8MiB live, 348.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
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 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps)))))
cost-diff	21696	(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps))))
cost-diff	0	(tan.f64 eps)
cost-diff	0	(-.f64 eps (tan.f64 eps))
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps)))
cost-diff	1408	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal -1 binary64) (-.f64 (sin.f64 eps) eps)))
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	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
cost-diff	0	(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))
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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)))

Rules

7 786×	`lower-fma.f32`
7 774×	`lower-fma.f64`
2 646×	`lower-*.f32`
2 640×	`lower-*.f64`
1 164×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	263
0	68	227
1	147	227
2	410	227
3	1327	227
4	3508	227
5	5426	227
6	6749	227
0	8309	227

Stop Event

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

Calls

Call 1

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

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

localize458.0ms (2.4%)

Memory

-20.2MiB live, 609.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	19.528170708021367	(-.f64 eps (sin.f64 eps))
accuracy	28.01433663507079	(/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps)))
accuracy	42.21035939501975	(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps)))))
accuracy	59.75050110648819	(fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps))))
accuracy	0.078125	(/.f64 #s(literal -1 binary64) (-.f64 (sin.f64 eps) eps))
accuracy	19.518199967032647	(-.f64 eps (tan.f64 eps))
accuracy	19.528170708021367	(-.f64 (sin.f64 eps) eps)
accuracy	43.22101212532571	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal -1 binary64) (-.f64 (sin.f64 eps) eps)))
accuracy	0	(fma.f64 eps (*.f64 eps #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
accuracy	0	(*.f64 eps eps)
accuracy	0.11693637932589046	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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	0.375	(*.f64 eps #s(literal -27/2800 binary64))
accuracy	0.3428187852550808	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
accuracy	0.00390625	(fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))
accuracy	0.0078125	(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))
accuracy	0.07510366874317255	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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)))
accuracy	0.375	(.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)))

Samples

280.0ms	141×	2	valid
63.0ms	39×	3	valid
50.0ms	74×	1	valid
1.0ms	2×	0	valid

Compiler

Compiled 246 to 40 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 344.0ms

ival-tan: 134.0ms (38.9% of total)

ival-sin: 59.0ms (17.1% of total)

adjust: 34.0ms (9.9% of total)

ival-mult: 26.0ms (7.6% of total)

ival-div: 23.0ms (6.7% of total)

ival-add: 19.0ms (5.5% of total)

const: 16.0ms (4.6% of total)

ival-sub: 12.0ms (3.5% of total)

ival-neg: 12.0ms (3.5% of total)

ival-pow2: 8.0ms (2.3% of total)

exact: 1.0ms (0.3% of total)

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

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

series22.0ms (0.1%)

Memory

30.8MiB live, 30.8MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#<alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))>
#<alt (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))>
#<alt (*.f64 eps eps)>
#<alt (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64))>
#<alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))>
#<alt #s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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 (.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 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal -1 binary64) (-.f64 (sin.f64 eps) eps)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps)))>
#<alt (-.f64 eps (tan.f64 eps))>
#<alt (tan.f64 eps)>
#<alt (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps))))>
#<alt (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps)))))>
#<alt (-.f64 eps (sin.f64 eps))>
#<alt (sin.f64 eps)>
#<alt (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)))>
#<alt (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))>
#<alt (*.f64 eps #s(literal -27/2800 binary64))>
#<alt (-.f64 (sin.f64 eps) eps)>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 (sin.f64 eps) eps))>
#<alt (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.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 -1/2>
#<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 -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -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 -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) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (+ (* -1 (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps)))) (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))))>
#<alt (+ 1 (+ (* -1 (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2)))) (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) 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 (/ -3 (pow eps 3))>
#<alt (/ (- (* 6/5 (pow eps 2)) 3) (pow eps 3))>
#<alt (/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 3))>
#<alt (/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 3))>
#<alt (/ 1 eps)>
#<alt (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)>
#<alt (/ (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (sin eps) (* eps (cos eps))))) eps)>
#<alt (/ (- (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps)>
#<alt (/ 1 eps)>
#<alt (* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) 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 (* -1/3 (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 (* -27/2800 eps)>
#<alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* eps (- (* 27/112000 (pow eps 2)) 27/2800))>
#<alt (* 27/112000 (pow eps 3))>
#<alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))>
#<alt (* 27/112000 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt (* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))>
#<alt -27/2800>
#<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 (* -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 (* -1/6 (pow eps 3))>
#<alt (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))>
#<alt (* -1 eps)>
#<alt (* eps (- (/ (sin eps) eps) 1))>
#<alt (* eps (- (/ (sin eps) eps) 1))>
#<alt (* eps (- (/ (sin eps) eps) 1))>
#<alt (* -1 eps)>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))>
#<alt (/ 6 (pow eps 3))>
#<alt (/ (+ 6 (* 3/10 (pow eps 2))) (pow eps 3))>
#<alt (/ (+ 6 (* (pow eps 2) (+ 3/10 (* 11/1400 (pow eps 2))))) (pow eps 3))>
#<alt (/ (+ 6 (* (pow eps 2) (+ 3/10 (* (pow eps 2) (+ 11/1400 (* 17/126000 (pow eps 2))))))) (pow eps 3))>
#<alt (/ 1 eps)>
#<alt (/ (+ 1 (/ (sin eps) eps)) eps)>
#<alt (/ (- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (* -1 (/ (sin eps) eps))) eps)>
#<alt (/ (- (+ 1 (/ (pow (sin eps) 3) (pow eps 3))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (pow (sin eps) 2) (pow eps 2))))) eps)>
#<alt (/ 1 eps)>
#<alt (* -1 (/ (- (* -1 (/ (sin eps) eps)) 1) eps))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) eps) (* -1 (sin eps))) eps)) 1) eps))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) eps)) (pow (sin eps) 2)) eps)) (* -1 (sin eps))) eps)) 1) eps))>
#<alt (* -1/2 eps)>
#<alt (* eps (- (* -1/4 (pow eps 2)) 1/2))>
#<alt (* eps (- (* (pow eps 2) (- (* -41/360 (pow eps 2)) 1/4)) 1/2))>
#<alt (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -149/3024 (pow eps 2)) 41/360)) 1/4)) 1/2))>
#<alt (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))>
#<alt (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps)>
#<alt (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps)>
#<alt (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (+ (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (/ (pow (sin eps) 5) (* (pow eps 3) (pow (cos eps) 5)))))) eps)>
#<alt (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))>
#<alt (* -1 (/ (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5)))) (/ (pow (sin eps) 4) (pow (cos eps) 4))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))>

Calls

66 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	inf	(+ (* (* eps eps) (/ 1 (+ eps (tan eps)))) (/ (neg (pow (tan eps) 2)) (+ eps (tan eps))))
2.0ms	eps	@	-inf	(+ (* (* eps eps) (/ 1 (+ eps (tan eps)))) (/ (neg (pow (tan eps) 2)) (+ eps (tan eps))))
2.0ms	eps	@	0	(/ -1 (- (sin eps) eps))
1.0ms	eps	@	-inf	(/ 1 (- eps (tan eps)))
1.0ms	eps	@	inf	(+ (* (* eps eps) (+ (* eps (* eps (+ (* (* eps eps) 27/112000) -27/2800))) 9/40)) -1/2)

simplify352.0ms (1.8%)

Memory

5.6MiB live, 523.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 850×	`lower-fma.f64`
7 850×	`lower-fma.f32`
3 710×	`lower-*.f64`
3 710×	`lower-*.f32`
3 646×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	419	3438
1	1449	3197
2	5805	3165
0	8041	3031

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 256

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)))
-1/2
(- (* 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)))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -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))
-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) (/ (sin eps) (cos eps))) eps)))
(+ 1 (+ (* -1 (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps)))) (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))))
(+ 1 (+ (* -1 (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2)))) (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) 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)))
(/ -3 (pow eps 3))
(/ (- (* 6/5 (pow eps 2)) 3) (pow eps 3))
(/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 3))
(/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 3))
(/ 1 eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)
(/ (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (sin eps) (* eps (cos eps))))) eps)
(/ (- (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/ 1 eps)
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) 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))
(* -1/3 (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)
(* -27/2800 eps)
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(* 27/112000 (pow eps 3))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* 27/112000 (pow eps 3))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
(* -1 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))
-27/2800
(- (* 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)))))
(* -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)
(* -1/6 (pow eps 3))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(* -1 eps)
(* eps (- (/ (sin eps) eps) 1))
(* eps (- (/ (sin eps) eps) 1))
(* eps (- (/ (sin eps) eps) 1))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(/ 6 (pow eps 3))
(/ (+ 6 (* 3/10 (pow eps 2))) (pow eps 3))
(/ (+ 6 (* (pow eps 2) (+ 3/10 (* 11/1400 (pow eps 2))))) (pow eps 3))
(/ (+ 6 (* (pow eps 2) (+ 3/10 (* (pow eps 2) (+ 11/1400 (* 17/126000 (pow eps 2))))))) (pow eps 3))
(/ 1 eps)
(/ (+ 1 (/ (sin eps) eps)) eps)
(/ (- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (* -1 (/ (sin eps) eps))) eps)
(/ (- (+ 1 (/ (pow (sin eps) 3) (pow eps 3))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (pow (sin eps) 2) (pow eps 2))))) eps)
(/ 1 eps)
(* -1 (/ (- (* -1 (/ (sin eps) eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) eps) (* -1 (sin eps))) eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) eps)) (pow (sin eps) 2)) eps)) (* -1 (sin eps))) eps)) 1) eps))
(* -1/2 eps)
(* eps (- (* -1/4 (pow eps 2)) 1/2))
(* eps (- (* (pow eps 2) (- (* -41/360 (pow eps 2)) 1/4)) 1/2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -149/3024 (pow eps 2)) 41/360)) 1/4)) 1/2))
(* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))
(/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps)
(/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps)
(/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (+ (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (/ (pow (sin eps) 5) (* (pow eps 3) (pow (cos eps) 5)))))) eps)
(* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))
(* -1 (/ (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5)))) (/ (pow (sin eps) 4) (pow (cos eps) 4))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 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 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
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) (/.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) 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))))) (/.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
#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 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (.f64 eps (cos.f64 eps))) (/.f64 (.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (.f64 eps (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) 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 (.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) (pow.f64 eps #s(literal 4 binary64))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -9/40 binary64) (pow.f64 eps #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)) (/.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 6 binary64))))))
(* 27/112000 (pow eps 6))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -9/40 binary64) (pow.f64 eps #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)) (/.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 6 binary64))))))
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
9/40
#s(literal 9/40 binary64)
(+ 9/40 (* -27/2800 (pow eps 2)))
(fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64))
(+ 9/40 (* (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) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* 27/112000 (pow eps 4))
(*.f64 #s(literal 27/112000 binary64) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
(* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))))
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 27/112000 binary64)) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
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) (/.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) 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))))) (/.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
#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)))
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(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 4 binary64))))) eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps)
(/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (+ (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (/ (pow (sin eps) 5) (* (pow eps 3) (pow (cos eps) 5)))))) eps)
(/.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 4 binary64))))) eps) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 5 binary64)) (.f64 (.f64 eps eps) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 5 binary64))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) eps)
(* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))
(/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))
(* -1 (/ (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))
(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 4 binary64))))) eps)) (neg.f64 eps))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5)))) (/ (pow (sin eps) 4) (pow (cos eps) 4))) eps)) (/ (pow (sin eps) 3) (pow (cos eps) 3))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (pow.f64 (cos.f64 eps) #s(literal 4 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 5 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 5 binary64))))) eps)) eps)) (neg.f64 eps))

rewrite556.0ms (2.9%)

Memory

-10.2MiB live, 500.9MiB allocated

Rules

4 928×	`lower-/.f32`
4 916×	`lower-/.f64`
3 710×	`lower-*.f32`
3 704×	`lower-*.f64`
3 034×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	218
0	68	186
1	307	183
2	2646	183
0	8561	183

Stop Event

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

Counts

22 → 1 008

Calls

Call 1

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

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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 #s(literal -1/2 binary64) (.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))))
(+.f64 (.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 (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps 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 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)))) (-.f64 (.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (.f64 (.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))) (.f64 (.f64 eps eps) (.f64 (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 (.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)))))) (-.f64 (fma.f64 (.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))) (.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 1/4 binary64)) (.f64 (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 (.f64 eps eps) #s(literal -1/2 binary64))))) (/.f64 #s(literal -1/8 binary64) (-.f64 (fma.f64 (.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))) (.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 1/4 binary64)) (.f64 (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 (.f64 eps eps) #s(literal -1/2 binary64))))))
(+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))))) (.f64 (*.f64 eps eps) #s(literal 9/40 binary64)))
(-.f64 #s(literal -1/2 binary64) (neg.f64 (.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)))))
(-.f64 #s(literal -1/2 binary64) (.f64 (neg.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)))))
(-.f64 #s(literal -1/2 binary64) (.f64 (neg.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))))
(-.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 (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 eps)))
(-.f64 (.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 (/.f64 (.f64 (.f64 eps eps) (.f64 (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 (.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))))) (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 #s(literal 1/4 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 (/.f64 (.f64 (.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))) (.f64 (.f64 eps eps) (.f64 (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 (.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)))))) (-.f64 (fma.f64 (.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))) (.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 1/4 binary64)) (.f64 (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 (.f64 eps eps) #s(literal -1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 (.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))) (.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 1/4 binary64)) (.f64 (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 (.f64 eps eps) #s(literal -1/2 binary64))))))
(-.f64 (/.f64 (.f64 (.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))) (.f64 (.f64 eps eps) (.f64 (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 (.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)))))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 eps eps) (.f64 (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 (.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))))) (.f64 (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 (.f64 eps eps) #s(literal -1/2 binary64)))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 eps eps) (.f64 (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 (.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))))) (.f64 (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 (.f64 eps eps) #s(literal -1/2 binary64)))))))
(-.f64 (/.f64 (.f64 (.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))) (.f64 (.f64 eps eps) (.f64 (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 (.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)))))) (fma.f64 eps (.f64 (.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))) (.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)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.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 #s(literal 1/8 binary64) (fma.f64 eps (.f64 (.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))) (.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)))) (+.f64 #s(literal 1/4 binary64) (.f64 (.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 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (.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))))) (/.f64 (.f64 (.f64 eps eps) (.f64 (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 (.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))))) (-.f64 #s(literal -1/2 binary64) (.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))))))
(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))
(fma.f64 eps (.f64 eps (.f64 (.f64 eps eps) (fma.f64 (.f64 eps 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 eps (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)))) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(fma.f64 eps (.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) (.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
(fma.f64 eps (.f64 (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) (.f64 eps eps)) (-.f64 (.f64 (.f64 eps eps) #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))
(fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps 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 (.f64 eps eps) (.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
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(.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (+.f64 eps (sin.f64 eps))))
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(.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (.f64 eps (.f64 eps eps)))) (fma.f64 eps (+.f64 eps (sin.f64 eps)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps))))))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 eps eps)))) (*.f64 eps eps))) (+.f64 eps (sin.f64 eps)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps (tan.f64 eps)) (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
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eval215.0ms (1.1%)

Memory: 37.9MiB live, 412.9MiB allocated
Compiler: Compiled 46 128 to 3 681 computations (92% saved)

prune223.0ms (1.1%)

Memory

-36.5MiB live, 393.2MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1 425	4	1 429
Fresh	2	1	3
Picked	1	4	5
Done	0	1	1
Total	1 428	10	1 438

Accuracy

100.0%

Counts

1 438 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	1.1%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal -1 binary64) (-.f64 (sin.f64 eps) eps)))
▶	1.0%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) 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))))))
▶	0.8%	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (neg.f64 (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)))))
▶	1.5%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (neg.f64 (+.f64 eps (tan.f64 eps)))) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))) (.f64 eps eps))))
✓	1.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
▶	1.0%	(/.f64 #s(approx (- eps (sin 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 (tan.f64 eps)))
▶	99.8%	#s(approx (/ (/ 1 (- eps (tan eps))) (/ -1 (- (sin eps) eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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)))
✓	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 294 to 168 computations (42.9% saved)

simplify267.0ms (1.4%)

Memory

-15.1MiB live, 543.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (neg.f64 (+.f64 eps (tan.f64 eps)))) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))) (.f64 eps eps))))
cost-diff	128	(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))))
cost-diff	192	(.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))) (.f64 eps eps))
cost-diff	256	(-.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (neg.f64 (+.f64 eps (tan.f64 eps)))) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))) (.f64 eps eps)))
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps)))
cost-diff	128	(neg.f64 (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps))
cost-diff	1024	(fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)
cost-diff	1408	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (neg.f64 (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)))))
cost-diff	0	(tan.f64 eps)
cost-diff	0	(-.f64 eps (tan.f64 eps))
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps)))
cost-diff	1408	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) 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))))))
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	#s(approx (- eps (sin 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))))
cost-diff	0	(/.f64 #s(approx (- eps (sin 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 (tan.f64 eps)))
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (/ 1 (- eps (tan eps))) (/ -1 (- (sin eps) eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))

Rules

8 464×	`lower-fma.f32`
8 448×	`lower-fma.f64`
3 178×	`lower-*.f32`
3 168×	`lower-*.f64`
1 952×	`lower--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	542
0	103	511
1	248	505
2	866	495
3	3148	477
4	7033	477
0	8020	477

Stop Event

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

Calls

Call 1

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

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

localize909.0ms (4.7%)

Memory

29.7MiB live, 935.7MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	19.534016106101152	(-.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (neg.f64 (+.f64 eps (tan.f64 eps)))) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))) (.f64 eps eps)))
accuracy	28.01433663507079	(/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (neg.f64 (+.f64 eps (tan.f64 eps))))
accuracy	28.100274134992084	(.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))) (.f64 eps eps))
accuracy	42.21035939501975	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (neg.f64 (+.f64 eps (tan.f64 eps)))) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))) (.f64 eps eps))))
accuracy	0.078125	(/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (neg.f64 (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps))))
accuracy	19.50922111561744	(fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)
accuracy	19.51819996703268	(-.f64 eps (tan.f64 eps))
accuracy	43.22101212532571	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (neg.f64 (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)))))
accuracy	0.078125	(/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) 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)))))
accuracy	0.12728500976844204	(.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	19.51819996703268	(-.f64 eps (tan.f64 eps))
accuracy	43.22101212532571	(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) 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))))))
accuracy	0.07421875	(.f64 eps (.f64 eps eps))
accuracy	0.12728500976844204	(.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	19.51819996703268	(-.f64 eps (tan.f64 eps))
accuracy	42.21035939501975	(/.f64 #s(approx (- eps (sin 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 (tan.f64 eps)))
accuracy	0	(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
accuracy	0	(*.f64 eps eps)
accuracy	0.15340363049882294	#s(approx (/ (/ 1 (- eps (tan eps))) (/ -1 (- (sin eps) eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))

Samples

405.0ms	141×	2	valid
123.0ms	39×	3	valid
80.0ms	74×	1	valid
1.0ms	2×	0	valid

Compiler

Compiled 413 to 57 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 532.0ms

ival-tan: 149.0ms (28% of total)

ival-sin: 141.0ms (26.5% of total)

const: 68.0ms (12.8% of total)

adjust: 52.0ms (9.8% of total)

ival-mult: 39.0ms (7.3% of total)

ival-div: 29.0ms (5.4% of total)

ival-add: 21.0ms (3.9% of total)

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

ival-neg: 10.0ms (1.9% of total)

ival-pow2: 7.0ms (1.3% of total)

exact: 1.0ms (0.2% of total)

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

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

series17.0ms (0.1%)

Memory

-17.3MiB live, 24.3MiB allocated

Counts

22 → 264

Calls

Call 1

Inputs
#<alt #s(approx (/ (/ 1 (- eps (tan eps))) (/ -1 (- (sin eps) eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))>
#<alt (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))>
#<alt (*.f64 eps eps)>
#<alt (/.f64 #s(approx (- eps (sin 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 (tan.f64 eps)))>
#<alt #s(approx (- eps (sin 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))))>
#<alt (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))>
#<alt (.f64 eps (.f64 eps eps))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) 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))))))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps)))>
#<alt (-.f64 eps (tan.f64 eps))>
#<alt (tan.f64 eps)>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (neg.f64 (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)))))>
#<alt (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)>
#<alt (neg.f64 (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps))>
#<alt (-.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (neg.f64 (+.f64 eps (tan.f64 eps)))) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))) (.f64 eps eps)))>
#<alt (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))) (.f64 eps eps))>
#<alt (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))))>
#<alt (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (neg.f64 (+.f64 eps (tan.f64 eps)))) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))) (.f64 eps 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 #s(literal -1 binary64) #s(approx (- (sin eps) 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)))))>
#<alt (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (neg.f64 (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps))))>
#<alt (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (neg.f64 (+.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) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (+ (* -1 (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps)))) (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))))>
#<alt (+ 1 (+ (* -1 (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2)))) (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* 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>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* 1/6 (pow eps 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>
#<alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (+ (* -1 (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps)))) (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))))>
#<alt (+ 1 (+ (* -1 (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2)))) (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) 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 (/ -3 (pow eps 3))>
#<alt (/ (- (* 6/5 (pow eps 2)) 3) (pow eps 3))>
#<alt (/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 3))>
#<alt (/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 3))>
#<alt (/ 1 eps)>
#<alt (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)>
#<alt (/ (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (sin eps) (* eps (cos eps))))) eps)>
#<alt (/ (- (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps)>
#<alt (/ 1 eps)>
#<alt (* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps))>
#<alt (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt eps>
#<alt (* eps (+ 1 (* 1/3 (pow eps 2))))>
#<alt (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))>
#<alt (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt (/ (sin eps) (cos eps))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (+ (* -1 (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps)))) (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))))>
#<alt (+ 1 (+ (* -1 (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2)))) (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1/6 (pow eps 3))>
#<alt (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))>
#<alt (* -1 eps)>
#<alt (* eps (- (/ (sin eps) eps) 1))>
#<alt (* eps (- (/ (sin eps) eps) 1))>
#<alt (* eps (- (/ (sin eps) eps) 1))>
#<alt (* -1 eps)>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (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 (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) (pow eps 2))) (/ (sin eps) (cos eps))) eps)) 1)))>
#<alt (* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 3) (pow (cos eps) 4)))) (/ (pow (sin eps) 4) (* (pow eps 3) (pow (cos eps) 4)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 3)))) (+ (/ (sin eps) (cos eps)) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 3)))))) eps)) 1)))>
#<alt (* -1/2 eps)>
#<alt (* eps (- (* 1/12 (pow eps 2)) 1/2))>
#<alt (* eps (- (* (pow eps 2) (+ 1/12 (* 7/360 (pow eps 2)))) 1/2))>
#<alt (* eps (- (* (pow eps 2) (+ 1/12 (* (pow eps 2) (+ 7/360 (* 71/15120 (pow eps 2)))))) 1/2))>
#<alt (* -1 eps)>
#<alt (* eps (- (/ (sin eps) (* eps (cos eps))) 1))>
#<alt (* eps (- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))>
#<alt (* eps (- (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))>
#<alt (* -1 eps)>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* -1 (/ (sin eps) (cos eps)))) eps)))))>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1 (/ (sin eps) (cos eps)))) eps)))))>
#<alt (/ -1/2 eps)>
#<alt (/ (- (* 1/12 (pow eps 2)) 1/2) eps)>
#<alt (/ (- (* (pow eps 2) (+ 1/12 (* 7/360 (pow eps 2)))) 1/2) eps)>
#<alt (/ (- (* (pow eps 2) (+ 1/12 (* (pow eps 2) (+ 7/360 (* 71/15120 (pow eps 2)))))) 1/2) eps)>
#<alt (/ -1 eps)>
#<alt (/ (- (/ (sin eps) (* eps (cos eps))) 1) eps)>
#<alt (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps)))) 1) eps)>
#<alt (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))) 1) eps)>
#<alt (/ -1 eps)>
#<alt (* -1 (/ (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) eps))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) eps))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (/ (sin eps) (cos eps))) eps))) eps))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) 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 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (* -1 (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (pow (cos eps) 2)))) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))>
#<alt (* -1/6 (pow eps 3))>
#<alt (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))>
#<alt (* 1/362880 (pow eps 9))>
#<alt (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6))))))>
#<alt (* 1/362880 (pow eps 9))>
#<alt (* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))>
#<alt (* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))>
#<alt (* -1 (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4))))))>
#<alt (/ 6 (pow eps 3))>
#<alt (/ (+ 6 (* 3/10 (pow eps 2))) (pow eps 3))>
#<alt (/ (+ 6 (* (pow eps 2) (+ 3/10 (* 11/1400 (pow eps 2))))) (pow eps 3))>
#<alt (/ (+ 6 (* (pow eps 2) (+ 3/10 (* (pow eps 2) (+ 11/1400 (* 17/126000 (pow eps 2))))))) (pow eps 3))>
#<alt (/ 1 eps)>
#<alt (/ (+ 1 (/ (sin eps) eps)) eps)>
#<alt (/ (- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (* -1 (/ (sin eps) eps))) eps)>
#<alt (/ (- (+ 1 (/ (pow (sin eps) 3) (pow eps 3))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (pow (sin eps) 2) (pow eps 2))))) eps)>
#<alt (/ 1 eps)>
#<alt (* -1 (/ (- (* -1 (/ (sin eps) eps)) 1) eps))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) eps) (* -1 (sin eps))) eps)) 1) eps))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) eps)) (pow (sin eps) 2)) eps)) (* -1 (sin eps))) eps)) 1) eps))>
#<alt (/ 6 (pow eps 3))>
#<alt (/ (+ 6 (* 3/10 (pow eps 2))) (pow eps 3))>
#<alt (/ (+ 6 (* (pow eps 2) (+ 3/10 (* 11/1400 (pow eps 2))))) (pow eps 3))>
#<alt (/ (+ 6 (* (pow eps 2) (+ 3/10 (* (pow eps 2) (+ 11/1400 (* 17/126000 (pow eps 2))))))) (pow eps 3))>
#<alt (/ 1 eps)>
#<alt (/ (+ 1 (/ (sin eps) eps)) eps)>
#<alt (/ (- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (* -1 (/ (sin eps) eps))) eps)>
#<alt (/ (- (+ 1 (/ (pow (sin eps) 3) (pow eps 3))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (pow (sin eps) 2) (pow eps 2))))) eps)>
#<alt (/ 1 eps)>
#<alt (* -1 (/ (- (* -1 (/ (sin eps) eps)) 1) eps))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) eps) (* -1 (sin eps))) eps)) 1) eps))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) eps)) (pow (sin eps) 2)) eps)) (* -1 (sin eps))) eps)) 1) eps))>
#<alt (* -1/2 eps)>
#<alt (* eps (- (* -1/4 (pow eps 2)) 1/2))>
#<alt (* eps (- (* (pow eps 2) (- (* -41/360 (pow eps 2)) 1/4)) 1/2))>
#<alt (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -149/3024 (pow eps 2)) 41/360)) 1/4)) 1/2))>
#<alt (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))>
#<alt (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps)>
#<alt (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps)>
#<alt (/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (+ (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (/ (pow (sin eps) 5) (* (pow eps 3) (pow (cos eps) 5)))))) eps)>
#<alt (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))>
#<alt (* -1 (/ (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4)))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5)))) (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4)))) eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))>

Calls

66 calls:

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

simplify317.0ms (1.6%)

Memory

35.2MiB live, 471.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 506×	`lower-fma.f64`
6 506×	`lower-fma.f32`
4 336×	`lower-*.f64`
4 336×	`lower-*.f32`
2 598×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	506	3725
1	1803	3521
2	7249	3493
0	8086	3356

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 255

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) (/ (sin eps) (cos eps))) eps)))
(+ 1 (+ (* -1 (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps)))) (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))))
(+ 1 (+ (* -1 (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2)))) (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* 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
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* 1/6 (pow eps 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
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (+ (* -1 (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps)))) (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))))
(+ 1 (+ (* -1 (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2)))) (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) 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)))
(/ -3 (pow eps 3))
(/ (- (* 6/5 (pow eps 2)) 3) (pow eps 3))
(/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 3))
(/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 3))
(/ 1 eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)
(/ (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (sin eps) (* eps (cos eps))))) eps)
(/ (- (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/ 1 eps)
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
eps
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
(/ (sin eps) (cos eps))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (+ (* -1 (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps)))) (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))))
(+ 1 (+ (* -1 (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2)))) (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1/6 (pow eps 3))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(* -1 eps)
(* eps (- (/ (sin eps) eps) 1))
(* eps (- (/ (sin eps) eps) 1))
(* eps (- (/ (sin eps) eps) 1))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (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 (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (/ (pow (sin eps) 3) (pow (cos eps) 3))) (pow eps 2))) (/ (sin eps) (cos eps))) eps)) 1)))
(* -1 (* eps (- (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 3) (pow (cos eps) 4)))) (/ (pow (sin eps) 4) (* (pow eps 3) (pow (cos eps) 4)))) (+ (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 3)))) (+ (/ (sin eps) (cos eps)) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 3)))))) eps)) 1)))
(* -1/2 eps)
(* eps (- (* 1/12 (pow eps 2)) 1/2))
(* eps (- (* (pow eps 2) (+ 1/12 (* 7/360 (pow eps 2)))) 1/2))
(* eps (- (* (pow eps 2) (+ 1/12 (* (pow eps 2) (+ 7/360 (* 71/15120 (pow eps 2)))))) 1/2))
(* -1 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* eps (- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* eps (- (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))) (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (- (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* -1 (/ (sin eps) (cos eps)))) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (* -1 (/ (sin eps) (cos eps)))) eps)))))
(/ -1/2 eps)
(/ (- (* 1/12 (pow eps 2)) 1/2) eps)
(/ (- (* (pow eps 2) (+ 1/12 (* 7/360 (pow eps 2)))) 1/2) eps)
(/ (- (* (pow eps 2) (+ 1/12 (* (pow eps 2) (+ 7/360 (* 71/15120 (pow eps 2)))))) 1/2) eps)
(/ -1 eps)
(/ (- (/ (sin eps) (* eps (cos eps))) 1) eps)
(/ (- (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (/ (sin eps) (* eps (cos eps)))) 1) eps)
(/ (- (+ (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))) 1) eps)
(/ -1 eps)
(* -1 (/ (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) eps))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (sin eps) (cos eps))) eps))) eps))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (/ (sin eps) (cos eps))) eps))) eps))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(- (+ 1 (* -1 (/ (sin eps) 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 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (* -1 (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (pow (cos eps) 2)))) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))
(* -1/6 (pow eps 3))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(* 1/362880 (pow eps 9))
(* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))
(* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2)))))
(* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6))))))
(* 1/362880 (pow eps 9))
(* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))
(* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))
(* -1 (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4))))))
(/ 6 (pow eps 3))
(/ (+ 6 (* 3/10 (pow eps 2))) (pow eps 3))
(/ (+ 6 (* (pow eps 2) (+ 3/10 (* 11/1400 (pow eps 2))))) (pow eps 3))
(/ (+ 6 (* (pow eps 2) (+ 3/10 (* (pow eps 2) (+ 11/1400 (* 17/126000 (pow eps 2))))))) (pow eps 3))
(/ 1 eps)
(/ (+ 1 (/ (sin eps) eps)) eps)
(/ (- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (* -1 (/ (sin eps) eps))) eps)
(/ (- (+ 1 (/ (pow (sin eps) 3) (pow eps 3))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (pow (sin eps) 2) (pow eps 2))))) eps)
(/ 1 eps)
(* -1 (/ (- (* -1 (/ (sin eps) eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) eps) (* -1 (sin eps))) eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) eps)) (pow (sin eps) 2)) eps)) (* -1 (sin eps))) eps)) 1) eps))
(/ 6 (pow eps 3))
(/ (+ 6 (* 3/10 (pow eps 2))) (pow eps 3))
(/ (+ 6 (* (pow eps 2) (+ 3/10 (* 11/1400 (pow eps 2))))) (pow eps 3))
(/ (+ 6 (* (pow eps 2) (+ 3/10 (* (pow eps 2) (+ 11/1400 (* 17/126000 (pow eps 2))))))) (pow eps 3))
(/ 1 eps)
(/ (+ 1 (/ (sin eps) eps)) eps)
(/ (- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (* -1 (/ (sin eps) eps))) eps)
(/ (- (+ 1 (/ (pow (sin eps) 3) (pow eps 3))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (pow (sin eps) 2) (pow eps 2))))) eps)
(/ 1 eps)
(* -1 (/ (- (* -1 (/ (sin eps) eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) eps) (* -1 (sin eps))) eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) eps)) (pow (sin eps) 2)) eps)) (* -1 (sin eps))) eps)) 1) eps))
(* -1/2 eps)
(* eps (- (* -1/4 (pow eps 2)) 1/2))
(* eps (- (* (pow eps 2) (- (* -41/360 (pow eps 2)) 1/4)) 1/2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -149/3024 (pow eps 2)) 41/360)) 1/4)) 1/2))
(* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))
(/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps)
(/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps)
(/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (+ (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (/ (pow (sin eps) 5) (* (pow eps 3) (pow (cos eps) 5)))))) eps)
(* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))
(* -1 (/ (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4)))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5)))) (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4)))) eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 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 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 (.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
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+ 1 (+ (* -1 (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps)))) (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+ 1 (+ (* -1 (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2)))) (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (sin.f64 eps)))) (.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (-.f64 (fma.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.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 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) eps)) eps))
-1/2
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(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.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) (-.f64 (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 (sin.f64 eps)))) (.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (-.f64 (fma.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps)))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.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))))) (* eps (cos eps))))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3))) (/ (pow (sin eps) 3) (pow (cos eps) 3)))) (* -1 (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (pow (cos eps) 2)))) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (cos eps))) eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (fma.f64 (sin.f64 eps) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (cos.f64 eps)) (/.f64 (.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) eps)) eps))
(* -1/6 (pow eps 3))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal -1/6 binary64)))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(.f64 (.f64 eps eps) (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(.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) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))
(* 1/362880 (pow eps 9))
(*.f64 (pow.f64 eps #s(literal 9 binary64)) #s(literal 1/362880 binary64))
(* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 eps eps))))
(* (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 1/120 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 eps eps)))))
(* (pow 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 #s(literal 1/362880 binary64) (-.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps)) (/.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 6 binary64)))))))
(* 1/362880 (pow eps 9))
(*.f64 (pow.f64 eps #s(literal 9 binary64)) #s(literal 1/362880 binary64))
(* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))
(.f64 (pow.f64 eps #s(literal 9 binary64)) (neg.f64 (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps)))))
(* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))
(.f64 (+.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps)) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal -1/120 binary64) (pow.f64 eps #s(literal 4 binary64))))) (neg.f64 (pow.f64 eps #s(literal 9 binary64))))
(* -1 (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4))))))
(neg.f64 (.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps)) (/.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 6 binary64)))) (+.f64 #s(literal -1/362880 binary64) (/.f64 #s(literal -1/120 binary64) (pow.f64 eps #s(literal 4 binary64)))))))
(/ 6 (pow eps 3))
(/.f64 #s(literal 6 binary64) (.f64 eps (.f64 eps eps)))
(/ (+ 6 (* 3/10 (pow eps 2))) (pow eps 3))
(/.f64 (fma.f64 eps (.f64 eps #s(literal 3/10 binary64)) #s(literal 6 binary64)) (.f64 eps (*.f64 eps eps)))
(/ (+ 6 (* (pow eps 2) (+ 3/10 (* 11/1400 (pow eps 2))))) (pow eps 3))
(/.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 11/1400 binary64) #s(literal 3/10 binary64)) #s(literal 6 binary64)) (.f64 eps (.f64 eps eps)))
(/ (+ 6 (* (pow eps 2) (+ 3/10 (* (pow eps 2) (+ 11/1400 (* 17/126000 (pow eps 2))))))) (pow eps 3))
(/.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 17/126000 binary64) #s(literal 11/1400 binary64))) #s(literal 3/10 binary64)) #s(literal 6 binary64)) (.f64 eps (*.f64 eps eps)))
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(/ (+ 1 (/ (sin eps) eps)) eps)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(/ (- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (* -1 (/ (sin eps) eps))) eps)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) eps)) eps)
(/ (- (+ 1 (/ (pow (sin eps) 3) (pow eps 3))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (pow (sin eps) 2) (pow eps 2))))) eps)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) (/.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) eps)) eps)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(* -1 (/ (- (* -1 (/ (sin eps) eps)) 1) eps))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) eps) (* -1 (sin eps))) eps)) 1) eps))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) eps)) eps)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) eps)) (pow (sin eps) 2)) eps)) (* -1 (sin eps))) eps)) 1) eps))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (neg.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (neg.f64 eps))) (neg.f64 eps))) (neg.f64 eps))
(/ 6 (pow eps 3))
(/.f64 #s(literal 6 binary64) (.f64 eps (.f64 eps eps)))
(/ (+ 6 (* 3/10 (pow eps 2))) (pow eps 3))
(/.f64 (fma.f64 eps (.f64 eps #s(literal 3/10 binary64)) #s(literal 6 binary64)) (.f64 eps (*.f64 eps eps)))
(/ (+ 6 (* (pow eps 2) (+ 3/10 (* 11/1400 (pow eps 2))))) (pow eps 3))
(/.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 11/1400 binary64) #s(literal 3/10 binary64)) #s(literal 6 binary64)) (.f64 eps (.f64 eps eps)))
(/ (+ 6 (* (pow eps 2) (+ 3/10 (* (pow eps 2) (+ 11/1400 (* 17/126000 (pow eps 2))))))) (pow eps 3))
(/.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 17/126000 binary64) #s(literal 11/1400 binary64))) #s(literal 3/10 binary64)) #s(literal 6 binary64)) (.f64 eps (*.f64 eps eps)))
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(/ (+ 1 (/ (sin eps) eps)) eps)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(/ (- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (* -1 (/ (sin eps) eps))) eps)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) eps)) eps)
(/ (- (+ 1 (/ (pow (sin eps) 3) (pow eps 3))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (pow (sin eps) 2) (pow eps 2))))) eps)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) (/.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) eps)) eps)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(* -1 (/ (- (* -1 (/ (sin eps) eps)) 1) eps))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) eps) (* -1 (sin eps))) eps)) 1) eps))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) eps)) eps)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) eps)) (pow (sin eps) 2)) eps)) (* -1 (sin eps))) eps)) 1) eps))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (neg.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (neg.f64 eps))) (neg.f64 eps))) (neg.f64 eps))
(* -1/2 eps)
(*.f64 #s(literal -1/2 binary64) eps)
(* eps (- (* -1/4 (pow eps 2)) 1/2))
(.f64 eps (fma.f64 (.f64 eps eps) #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
(* eps (- (* (pow eps 2) (- (* -41/360 (pow eps 2)) 1/4)) 1/2))
(.f64 eps (fma.f64 eps (.f64 eps (fma.f64 eps (*.f64 eps #s(literal -41/360 binary64)) #s(literal -1/4 binary64))) #s(literal -1/2 binary64)))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -149/3024 (pow eps 2)) 41/360)) 1/4)) 1/2))
(.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal -149/3024 binary64) #s(literal -41/360 binary64))) #s(literal -1/4 binary64)) #s(literal -1/2 binary64)))
(* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))
(/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) eps)
(-.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (.f64 eps eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))
(/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))))) eps)
(/.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64))) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 4 binary64))))) eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps)
(/ (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (+ (* -1 (/ (pow (sin eps) 4) (* (pow eps 2) (pow (cos eps) 4)))) (+ (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3))) (/ (pow (sin eps) 5) (* (pow eps 3) (pow (cos eps) 5)))))) eps)
(/.f64 (+.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64))) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 4 binary64))))) eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 5 binary64)) (.f64 (.f64 eps eps) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 5 binary64)))))) eps)
(* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))))
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))
(* -1 (/ (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))
(-.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (.f64 eps eps)) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow (sin eps) 4) (* eps (pow (cos eps) 4)))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))
(neg.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64))) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 4 binary64))))) eps)) eps))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 5) (* eps (pow (cos eps) 5)))) (* -1 (/ (pow (sin eps) 4) (pow (cos eps) 4)))) eps)) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 3)))) eps)) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (neg.f64 (-.f64 (+.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 5 binary64))) (.f64 eps (.f64 eps (pow.f64 (cos.f64 eps) #s(literal 5 binary64))))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 4 binary64)) (*.f64 eps (pow.f64 (cos.f64 eps) #s(literal 4 binary64))))) (pow.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 3 binary64)))) eps)) (neg.f64 eps))

rewrite380.0ms (2%)

Memory

-6.7MiB live, 716.0MiB allocated

Rules

4 924×	`lower-*.f32`
4 914×	`lower-*.f64`
4 260×	`lower-fma.f32`
4 244×	`lower-fma.f64`
3 040×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	347
0	103	329
1	478	304
2	3960	294
0	8357	294

Stop Event

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

Counts

22 → 659

Calls

Call 1

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

Outputs
#s(approx (/ (/ 1 (- eps (tan eps))) (/ -1 (- (sin eps) eps))) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 9/40 binary64) (.f64 eps eps)))
(+.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(+.f64 (/.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 729/64000 binary64))) (-.f64 (fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) #s(literal -9/80 binary64)))) (/.f64 #s(literal -1/8 binary64) (-.f64 (fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) #s(literal -9/80 binary64)))))
(-.f64 #s(literal -1/2 binary64) (neg.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps))))
(-.f64 #s(literal -1/2 binary64) (.f64 #s(literal -9/40 binary64) (.f64 eps eps)))
(-.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 (.f64 eps eps)) #s(literal 9/40 binary64)))
(-.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 (.f64 eps #s(literal 9/40 binary64))) eps))
(-.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 81/1600 binary64)) (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 eps (.f64 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))
(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 #s(literal 9/40 binary64)) eps #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) #s(literal -9/80 binary64))) (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64)) (-.f64 (fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) #s(literal -9/80 binary64))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 81/1600 binary64)) (.f64 (*.f64 eps eps) #s(literal -9/80 binary64)))))
(/.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64)) (fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 81/1600 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)) (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) #s(literal -9/80 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 81/1600 binary64))) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 9/40 binary64) (.f64 eps eps))))
(/.f64 (fma.f64 (.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 729/64000 binary64))) (-.f64 (fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) #s(literal -9/80 binary64))) (.f64 (-.f64 (fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) #s(literal -9/80 binary64))) #s(literal -1/8 binary64))) (.f64 (-.f64 (fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) #s(literal -9/80 binary64))) (-.f64 (fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) #s(literal -9/80 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 81/1600 binary64)) (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64))) (.f64 (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 eps (.f64 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))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 eps eps) #s(literal -9/80 binary64))) (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 eps (.f64 eps eps)) (.f64 (.f64 eps (.f64 eps eps)) #s(literal 729/64000 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (.f64 (*.f64 eps eps) #s(literal -9/80 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64))
(*.f64 eps eps)
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 eps (tan.f64 eps)) #s(approx (- eps (sin eps)) (.f64 (.f64 eps eps) (.f64 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))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps eps) (.f64 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))))) (neg.f64 (-.f64 eps (tan.f64 eps)))))
(neg.f64 (/.f64 (neg.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps eps) (.f64 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)) #s(approx (- eps (sin eps)) (.f64 (.f64 eps eps) (.f64 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 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 eps (tan.f64 eps)) #s(approx (- eps (sin eps)) (.f64 (.f64 eps eps) (.f64 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)))))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 eps (tan.f64 eps)) #s(approx (- eps (sin eps)) (.f64 (.f64 eps eps) (.f64 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 #s(approx (- eps (sin eps)) (.f64 (.f64 eps eps) (.f64 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 (neg.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps eps) (.f64 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)))))) (neg.f64 (-.f64 eps (tan.f64 eps))))
(/.f64 (neg.f64 (neg.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps eps) (.f64 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))))))) (neg.f64 (neg.f64 (-.f64 eps (tan.f64 eps)))))
(/.f64 (.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps eps) (.f64 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))))) #s(literal 1 binary64)) (-.f64 eps (tan.f64 eps)))
(/.f64 (.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps eps) (.f64 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))))) #s(literal -1 binary64)) (neg.f64 (-.f64 eps (tan.f64 eps))))
(pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) #s(approx (- eps (sin eps)) (.f64 (.f64 eps eps) (.f64 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)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 eps (tan.f64 eps)) #s(approx (- eps (sin eps)) (.f64 (.f64 eps eps) (.f64 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)))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps eps) (.f64 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(approx (- eps (sin eps)) (.f64 (.f64 eps eps) (.f64 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 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) #s(approx (- eps (sin eps)) (.f64 (.f64 eps eps) (.f64 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 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (- eps (sin eps)) (.f64 (.f64 eps eps) (.f64 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)))))) #s(literal -1 binary64)))
(.f64 (neg.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps eps) (.f64 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 #s(literal -1 binary64) (-.f64 eps (tan.f64 eps))))
(.f64 (.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps eps) (.f64 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))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))))
(.f64 (/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps eps) (.f64 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 (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (+.f64 eps (tan.f64 eps)) (.f64 eps eps)))
(.f64 (/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps eps) (.f64 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) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 eps (tan.f64 eps)))
#s(approx (- eps (sin eps)) (.f64 (.f64 eps eps) (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))
(+.f64 (.f64 (.f64 eps (.f64 eps eps)) (.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)))) (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))))
(+.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64))) (.f64 (.f64 eps (.f64 eps eps)) (.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)))))
(-.f64 (.f64 (.f64 eps (.f64 eps eps)) (.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)))) (.f64 (.f64 eps (.f64 eps eps)) #s(literal -1/6 binary64)))
(-.f64 (.f64 (.f64 eps (.f64 eps eps)) (.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)))) (neg.f64 (.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64)))))
(-.f64 (.f64 (.f64 eps (.f64 eps eps)) (.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)))) (.f64 (neg.f64 (.f64 eps (.f64 eps eps))) #s(literal 1/6 binary64)))
(fma.f64 eps (.f64 (.f64 eps eps) #s(literal 1/6 binary64)) (.f64 (.f64 eps (.f64 eps eps)) (.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)))))
(fma.f64 eps (.f64 (.f64 eps eps) (.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)))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))
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eval172.0ms (0.9%)

Memory: 46.7MiB live, 399.8MiB allocated
Compiler: Compiled 43 722 to 3 480 computations (92% saved)

prune462.0ms (2.4%)

Memory

-67.4MiB live, 461.9MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	1 358	4	1 362
Fresh	0	0	0
Picked	3	2	5
Done	1	4	5
Total	1 362	10	1 372

Accuracy

100.0%

Counts

1 372 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.0%	(/.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (-.f64 (neg.f64 eps) (tan.f64 eps))) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (*.f64 eps eps))))
✓	1.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
▶	31.7%	(/.f64 #s(approx (/ 1 (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) #s(literal -3 binary64)) (.f64 eps (.f64 eps eps)))) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) 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))))))
▶	1.0%	(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))) (-.f64 eps (tan.f64 eps)))
✓	1.0%	(/.f64 #s(approx (- eps (sin 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 (tan.f64 eps)))
▶	0.8%	(/.f64 #s(approx (- eps (sin eps)) (neg.f64 (fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps)))) (-.f64 eps (tan.f64 eps)))
✓	99.8%	#s(approx (/ (/ 1 (- eps (tan eps))) (/ -1 (- (sin eps) eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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)))
✓	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 219 to 110 computations (49.8% saved)

simplify256.0ms (1.3%)

Memory

17.0MiB live, 598.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(.f64 eps (.f64 eps eps))
cost-diff	0	(-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))
cost-diff	384	(/.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (-.f64 (neg.f64 eps) (tan.f64 eps))) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (*.f64 eps eps))))
cost-diff	0	(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) #s(literal -3 binary64))
cost-diff	0	#s(approx (/ 1 (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) #s(literal -3 binary64)) (.f64 eps (*.f64 eps eps))))
cost-diff	128	(/.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) #s(literal -3 binary64)) (.f64 eps (*.f64 eps eps)))
cost-diff	384	(/.f64 #s(approx (/ 1 (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) #s(literal -3 binary64)) (.f64 eps (.f64 eps eps)))) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) 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))))))
cost-diff	0	(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))
cost-diff	0	#s(approx (- eps (sin eps)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)))))
cost-diff	0	(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))) (-.f64 eps (tan.f64 eps)))
cost-diff	960	(fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))
cost-diff	0	#s(approx (- eps (sin eps)) (neg.f64 (fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))))
cost-diff	0	(/.f64 #s(approx (- eps (sin eps)) (neg.f64 (fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps)))) (-.f64 eps (tan.f64 eps)))
cost-diff	128	(neg.f64 (fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps)))
cost-diff	1024	(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))

Rules

6 390×	`lower-fma.f32`
6 368×	`lower-fma.f64`
3 264×	`lower-*.f32`
3 250×	`lower-*.f64`
2 506×	`lower-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	630
0	113	585
1	285	583
2	1045	566
3	4856	552
0	8334	552

Stop Event

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

Calls

Call 1

Inputs
(/.f64 #s(approx (- eps (sin eps)) (neg.f64 (fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps)))) (-.f64 eps (tan.f64 eps)))
#s(approx (- eps (sin eps)) (neg.f64 (fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))))
(neg.f64 (fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps)))
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))
eps
(/.f64 (sin.f64 eps) eps)
(sin.f64 eps)
(neg.f64 eps)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))) (-.f64 eps (tan.f64 eps)))
#s(approx (- eps (sin eps)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)))))
(fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))
(*.f64 eps eps)
eps
(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)
(.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))
(.f64 eps (.f64 eps eps))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(/.f64 #s(approx (/ 1 (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) #s(literal -3 binary64)) (.f64 eps (.f64 eps eps)))) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) 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))))))
#s(approx (/ 1 (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) #s(literal -3 binary64)) (.f64 eps (*.f64 eps eps))))
(/.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) #s(literal -3 binary64)) (.f64 eps (*.f64 eps eps)))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) #s(literal -3 binary64))
(*.f64 eps eps)
eps
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64))
#s(literal 2/7875 binary64)
#s(literal 1/175 binary64)
#s(literal 6/5 binary64)
#s(literal -3 binary64)
(.f64 eps (.f64 eps eps))
(/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) 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)))))
#s(literal -1 binary64)
#s(approx (- (sin eps) 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 (.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) (fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64))
#s(literal 1/362880 binary64)
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(/.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (-.f64 (neg.f64 eps) (tan.f64 eps))) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (*.f64 eps eps))))
(-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))
(.f64 eps (.f64 eps eps))
eps
(*.f64 eps eps)
(pow.f64 (sin.f64 eps) #s(literal 3 binary64))
(sin.f64 eps)
#s(literal 3 binary64)
(.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (-.f64 (neg.f64 eps) (tan.f64 eps))) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (*.f64 eps eps)))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)) (-.f64 (neg.f64 eps) (tan.f64 eps)))
(-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
(tan.f64 eps)
#s(literal 2 binary64)
(-.f64 (neg.f64 eps) (tan.f64 eps))
(neg.f64 eps)
(fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (*.f64 eps eps))
(+.f64 eps (sin.f64 eps))

Outputs
(/.f64 #s(approx (- eps (sin eps)) (neg.f64 (fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps)))) (-.f64 eps (tan.f64 eps)))
(/.f64 #s(approx (- eps (sin eps)) (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps)))
#s(approx (- eps (sin eps)) (neg.f64 (fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))))
#s(approx (- eps (sin eps)) (-.f64 eps (sin.f64 eps)))
(neg.f64 (fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps)))
(-.f64 eps (sin.f64 eps))
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))
(-.f64 (sin.f64 eps) eps)
eps
(/.f64 (sin.f64 eps) eps)
(sin.f64 eps)
(neg.f64 eps)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))) (-.f64 eps (tan.f64 eps)))
(/.f64 #s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))) (-.f64 eps (tan.f64 eps)))
#s(approx (- eps (sin eps)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)))))
#s(approx (- eps (sin eps)) (.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64))))
(fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #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) (fma.f64 eps (.f64 eps #s(literal -1/362880 binary64)) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))
(*.f64 eps eps)
eps
(fma.f64 (*.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)
(.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))
(.f64 eps (.f64 eps (.f64 eps (.f64 eps eps))))
(.f64 eps (.f64 eps eps))
(.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)))
(.f64 (.f64 eps (*.f64 eps eps)) #s(literal 1/6 binary64))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(.f64 eps (.f64 eps #s(literal 1/6 binary64)))
#s(literal 1/6 binary64)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
(/.f64 #s(approx (/ 1 (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) #s(literal -3 binary64)) (.f64 eps (.f64 eps eps)))) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) 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 #s(approx (/ 1 (- eps (tan eps))) (/.f64 (+.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) (/.f64 #s(literal -3 binary64) (.f64 eps eps))) eps)) #s(approx (- (sin eps) eps) (.f64 eps (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))) #s(literal -1 binary64))
#s(approx (/ 1 (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) #s(literal -3 binary64)) (.f64 eps (*.f64 eps eps))))
#s(approx (/ 1 (- eps (tan eps))) (/.f64 (+.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) (/.f64 #s(literal -3 binary64) (*.f64 eps eps))) eps))
(/.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) #s(literal -3 binary64)) (.f64 eps (*.f64 eps eps)))
(/.f64 (+.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) (/.f64 #s(literal -3 binary64) (*.f64 eps eps))) eps)
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) #s(literal -3 binary64))
(fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64))) #s(literal -3 binary64))
(*.f64 eps eps)
eps
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64))
#s(literal 2/7875 binary64)
#s(literal 1/175 binary64)
#s(literal 6/5 binary64)
#s(literal -3 binary64)
(.f64 eps (.f64 eps eps))
(/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) 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 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 eps (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))))
#s(literal -1 binary64)
#s(approx (- (sin eps) 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))))
#s(approx (- (sin eps) eps) (.f64 eps (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))))))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 1/362880 binary64) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(.f64 eps (.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))))
(fma.f64 (.f64 eps eps) (fma.f64 (.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) (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 (.f64 eps eps) (fma.f64 eps (.f64 eps #s(literal 1/362880 binary64)) #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(fma.f64 (*.f64 eps eps) #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 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (-.f64 (neg.f64 eps) (tan.f64 eps))) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (*.f64 eps eps))))
(/.f64 (.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 (neg.f64 eps) (tan.f64 eps))) (.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps))))
(-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))
(.f64 eps (.f64 eps eps))
eps
(*.f64 eps eps)
(pow.f64 (sin.f64 eps) #s(literal 3 binary64))
(sin.f64 eps)
#s(literal 3 binary64)
(.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (-.f64 (neg.f64 eps) (tan.f64 eps))) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (*.f64 eps eps)))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)) (-.f64 (neg.f64 eps) (tan.f64 eps)))
(-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))
(pow.f64 (tan.f64 eps) #s(literal 2 binary64))
(tan.f64 eps)
#s(literal 2 binary64)
(-.f64 (neg.f64 eps) (tan.f64 eps))
(neg.f64 eps)
(fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (*.f64 eps eps))
(+.f64 eps (sin.f64 eps))

localize763.0ms (3.9%)

Memory

-63.2MiB live, 1 169.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	5.416235008925398	(/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)) (-.f64 (neg.f64 eps) (tan.f64 eps)))
accuracy	10.665936444732736	(-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))
accuracy	13.828173036253848	(-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))
accuracy	51.68462891859303	(/.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (-.f64 (neg.f64 eps) (tan.f64 eps))) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (*.f64 eps eps))))
accuracy	0.07421875	(.f64 eps (.f64 eps eps))
accuracy	0.078125	(/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) 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)))))
accuracy	0.12728500976844204	(.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	43.22101212532571	(/.f64 #s(approx (/ 1 (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) #s(literal -3 binary64)) (.f64 eps (.f64 eps eps)))) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) 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))))))
accuracy	0.078125	(.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps)))
accuracy	0.18359375	(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
accuracy	19.51819996703265	(-.f64 eps (tan.f64 eps))
accuracy	42.21035939501975	(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))) (-.f64 eps (tan.f64 eps)))
accuracy	0.00390625	(/.f64 (sin.f64 eps) eps)
accuracy	19.50922111561744	(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))
accuracy	19.51819996703265	(-.f64 eps (tan.f64 eps))
accuracy	42.21035939501975	(/.f64 #s(approx (- eps (sin eps)) (neg.f64 (fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps)))) (-.f64 eps (tan.f64 eps)))

Samples

392.0ms	142×	2	valid
104.0ms	38×	3	valid
86.0ms	74×	1	valid
1.0ms	2×	0	valid

Compiler

Compiled 468 to 69 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 517.0ms

ival-tan: 122.0ms (23.6% of total)

ival-sin: 78.0ms (15.1% of total)

ival-mult: 69.0ms (13.3% of total)

adjust: 58.0ms (11.2% of total)

const: 52.0ms (10.1% of total)

ival-sub: 41.0ms (7.9% of total)

ival-add: 30.0ms (5.8% of total)

ival-div: 28.0ms (5.4% of total)

ival-pow: 27.0ms (5.2% of total)

ival-pow2: 7.0ms (1.4% of total)

ival-neg: 4.0ms (0.8% of total)

exact: 1.0ms (0.2% of total)

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

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

series24.0ms (0.1%)

Memory

-6.7MiB live, 38.4MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))>
#<alt (neg.f64 (fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps)))>
#<alt (/.f64 #s(approx (- eps (sin eps)) (neg.f64 (fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps)))) (-.f64 eps (tan.f64 eps)))>
#<alt #s(approx (- eps (sin eps)) (neg.f64 (fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))))>
#<alt (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))>
#<alt (/.f64 #s(approx (- eps (sin eps)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))) (-.f64 eps (tan.f64 eps)))>
#<alt #s(approx (- eps (sin eps)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)))))>
#<alt (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))>
#<alt (/.f64 #s(approx (/ 1 (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) #s(literal -3 binary64)) (.f64 eps (.f64 eps eps)))) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) 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))))))>
#<alt (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) #s(literal -3 binary64)) (.f64 eps (*.f64 eps eps)))>
#<alt #s(approx (/ 1 (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) #s(literal -3 binary64)) (.f64 eps (*.f64 eps eps))))>
#<alt (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) #s(literal -3 binary64))>
#<alt (/.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (-.f64 (neg.f64 eps) (tan.f64 eps))) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (*.f64 eps eps))))>
#<alt (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))>
#<alt (.f64 eps (.f64 eps eps))>
#<alt (*.f64 eps eps)>
#<alt (-.f64 eps (tan.f64 eps))>
#<alt (/.f64 (sin.f64 eps) eps)>
#<alt (.f64 (.f64 eps eps) #s(literal 1/6 binary64))>
#<alt (.f64 (.f64 eps eps) (.f64 eps (.f64 eps 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 #s(literal -1 binary64) #s(approx (- (sin eps) 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)))))>
#<alt (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))>
#<alt (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)) (-.f64 (neg.f64 eps) (tan.f64 eps)))>

Outputs
#<alt (* -1/6 (pow eps 3))>
#<alt (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))>
#<alt (* -1 eps)>
#<alt (* eps (- (/ (sin eps) eps) 1))>
#<alt (* eps (- (/ (sin eps) eps) 1))>
#<alt (* eps (- (/ (sin eps) eps) 1))>
#<alt (* -1 eps)>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))>
#<alt (* -1 (* eps (+ 1 (* -1 (/ (sin 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) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt (* -1/362880 (pow eps 9))>
#<alt (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* -1/362880 (pow eps 9))>
#<alt (* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))>
#<alt (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))>
#<alt (* 1/6 (pow eps 3))>
#<alt (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))>
#<alt (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) eps))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) eps) 1)))>
#<alt -1/120>
#<alt (- (* 1/5040 (pow eps 2)) 1/120)>
#<alt (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)>
#<alt (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)>
#<alt (* -1/362880 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* -1/362880 (pow eps 4))>
#<alt (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))>
#<alt (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))>
#<alt -1/2>
#<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) (/ (sin eps) (cos eps))) eps)))>
#<alt (+ 1 (+ (* -1 (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps)))) (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))))>
#<alt (+ 1 (+ (* -1 (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2)))) (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) 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 (/ -3 (pow eps 3))>
#<alt (/ (- (* 6/5 (pow eps 2)) 3) (pow eps 3))>
#<alt (/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 3))>
#<alt (/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 3))>
#<alt (* 2/7875 (pow eps 3))>
#<alt (* (pow eps 3) (+ 2/7875 (* 1/175 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 3) (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4)))))>
#<alt (* (pow eps 3) (- (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4)))) (* 3 (/ 1 (pow eps 6)))))>
#<alt (* 2/7875 (pow eps 3))>
#<alt (* (pow eps 3) (+ 2/7875 (* 1/175 (/ 1 (pow eps 2)))))>
#<alt (* -1 (* (pow eps 3) (- (* -1 (/ (+ 1/175 (* 6/5 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7875)))>
#<alt (* -1 (* (pow eps 3) (- (* 3 (/ 1 (pow eps 6))) (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4)))))))>
#<alt (/ -3 (pow eps 3))>
#<alt (/ (- (* 6/5 (pow eps 2)) 3) (pow eps 3))>
#<alt (/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 3))>
#<alt (/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 3))>
#<alt (/ 1 eps)>
#<alt (/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)>
#<alt (/ (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (sin eps) (* eps (cos eps))))) eps)>
#<alt (/ (- (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps)>
#<alt (/ 1 eps)>
#<alt (* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps))>
#<alt -3>
#<alt (- (* 6/5 (pow eps 2)) 3)>
#<alt (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3)>
#<alt (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3)>
#<alt (* 2/7875 (pow eps 6))>
#<alt (* (pow eps 6) (+ 2/7875 (* 1/175 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4)))))>
#<alt (* (pow eps 6) (- (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4)))) (* 3 (/ 1 (pow eps 6)))))>
#<alt (* 2/7875 (pow eps 6))>
#<alt (* (pow eps 6) (+ 2/7875 (* 1/175 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 6) (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4)))))>
#<alt (* (pow eps 6) (- (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4)))) (* 3 (/ 1 (pow eps 6)))))>
#<alt -1/2>
#<alt (- (* 9/40 (pow eps 2)) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)>
#<alt (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps))) eps)))>
#<alt (+ 1 (+ (* -1 (/ (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps))) eps)) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))>
#<alt (+ 1 (+ (* -1 (/ (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps))) eps)) (+ (* -1 (/ (- (pow (sin eps) 3) (+ (* -1 (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (+ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (+ (* -1 (* (+ (* -1 (pow (sin eps) 2)) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps))))) (/ (pow (sin eps) 3) (pow (cos eps) 2))))) (pow eps 3))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))>
#<alt 1>
#<alt (- (+ 1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (/ (sin eps) (cos eps)) (sin eps))) (* -1 (/ (+ (* -1 (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps)))) (+ (* -1 (pow (sin eps) 2)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) eps)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (/ (sin eps) (cos eps)) (sin eps))) (* -1 (/ (- (+ (* -1 (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps)))) (+ (* -1 (/ (pow (sin eps) 3) eps)) (+ (* -1 (pow (sin eps) 2)) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -1 (/ (* (+ (* -1 (pow (sin eps) 2)) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (/ (sin eps) (cos eps)) (sin eps))) eps)) (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (+ (* -1 (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps)))) (+ (* -1 (pow (sin eps) 2)) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) eps)))) eps))) eps)))>
#<alt (* 1/2 (pow eps 5))>
#<alt (* (pow eps 5) (+ 1/2 (* -13/120 (pow eps 2))))>
#<alt (* (pow eps 5) (+ 1/2 (* (pow eps 2) (- (* 41/3024 (pow eps 2)) 13/120))))>
#<alt (* (pow eps 5) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 41/3024 (* -671/604800 (pow eps 2)))) 13/120))))>
#<alt (pow eps 3)>
#<alt (* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))))>
#<alt (* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))))>
#<alt (* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))))>
#<alt (pow eps 3)>
#<alt (* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (pow eps 3)) 1)))>
#<alt (* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (pow eps 3)) 1)))>
#<alt (* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (pow eps 3)) 1)))>
#<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 (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 (* -1/3 (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 (* -1/6 (pow eps 2)))>
#<alt (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))>
#<alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))>
#<alt (/ (sin eps) eps)>
#<alt (/ (sin eps) eps)>
#<alt (/ (sin eps) eps)>
#<alt (/ (sin eps) eps)>
#<alt (/ (sin eps) eps)>
#<alt (/ (sin eps) eps)>
#<alt (/ (sin eps) eps)>
#<alt (/ (sin eps) eps)>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (* 1/6 (pow eps 2))>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (pow eps 5)>
#<alt (* -1/6 (pow eps 3))>
#<alt (* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))>
#<alt (* 1/362880 (pow eps 9))>
#<alt (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6))))))>
#<alt (* 1/362880 (pow eps 9))>
#<alt (* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))>
#<alt (* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))>
#<alt (* -1 (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4))))))>
#<alt (/ 6 (pow eps 3))>
#<alt (/ (+ 6 (* 3/10 (pow eps 2))) (pow eps 3))>
#<alt (/ (+ 6 (* (pow eps 2) (+ 3/10 (* 11/1400 (pow eps 2))))) (pow eps 3))>
#<alt (/ (+ 6 (* (pow eps 2) (+ 3/10 (* (pow eps 2) (+ 11/1400 (* 17/126000 (pow eps 2))))))) (pow eps 3))>
#<alt (/ 1 eps)>
#<alt (/ (+ 1 (/ (sin eps) eps)) eps)>
#<alt (/ (- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (* -1 (/ (sin eps) eps))) eps)>
#<alt (/ (- (+ 1 (/ (pow (sin eps) 3) (pow eps 3))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (pow (sin eps) 2) (pow eps 2))))) eps)>
#<alt (/ 1 eps)>
#<alt (* -1 (/ (- (* -1 (/ (sin eps) eps)) 1) eps))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) eps) (* -1 (sin eps))) eps)) 1) eps))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) eps)) (pow (sin eps) 2)) eps)) (* -1 (sin eps))) eps)) 1) eps))>
#<alt (* 2/3 (pow eps 4))>
#<alt (* (pow eps 4) (+ 2/3 (* 17/45 (pow eps 2))))>
#<alt (* (pow eps 4) (+ 2/3 (* (pow eps 2) (+ 17/45 (* 62/315 (pow eps 2))))))>
#<alt (* (pow eps 4) (+ 2/3 (* (pow eps 2) (+ 17/45 (* (pow eps 2) (+ 62/315 (* 1382/14175 (pow eps 2))))))))>
#<alt (* -1 (pow eps 2))>
#<alt (* (pow eps 2) (- (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) 1))>
#<alt (* (pow eps 2) (- (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) 1))>
#<alt (* (pow eps 2) (- (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) 1))>
#<alt (* -1 (pow eps 2))>
#<alt (* (pow eps 2) (- (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) 1))>
#<alt (* (pow eps 2) (- (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) 1))>
#<alt (* (pow eps 2) (- (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) 1))>
#<alt (* -1/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))>
#<alt eps>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>
#<alt (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))>

Calls

72 calls:

Time	Variable		Point	Expression
4.0ms	eps	@	inf	(- (pow (tan eps) 2) (* eps eps))
4.0ms	eps	@	0	(* (* eps eps) 1/6)
2.0ms	eps	@	inf	(/ (- (* eps (* eps eps)) (pow (sin eps) 3)) (* (/ (- (pow (tan eps) 2) (* eps eps)) (- (neg eps) (tan eps))) (+ (* (sin eps) (+ eps (sin eps))) (* eps eps))))
1.0ms	eps	@	-inf	(/ (- (* eps (* eps eps)) (pow (sin eps) 3)) (* (/ (- (pow (tan eps) 2) (* eps eps)) (- (neg eps) (tan eps))) (+ (* (sin eps) (+ eps (sin eps))) (* eps eps))))
1.0ms	eps	@	0	(/ (- (* eps (* eps eps)) (pow (sin eps) 3)) (* (/ (- (pow (tan eps) 2) (* eps eps)) (- (neg eps) (tan eps))) (+ (* (sin eps) (+ eps (sin eps))) (* eps eps))))

simplify450.0ms (2.3%)

Memory

2.6MiB live, 551.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 514×	`lower-fma.f64`
7 514×	`lower-fma.f32`
4 550×	`lower-*.f64`
4 550×	`lower-*.f32`
3 996×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	449	3674
1	1660	3511
2	7012	3495
0	9060	3356

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 278

Calls

Call 1

Inputs
(* -1/6 (pow eps 3))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(* -1 eps)
(* eps (- (/ (sin eps) eps) 1))
(* eps (- (/ (sin eps) eps) 1))
(* eps (- (/ (sin eps) eps) 1))
(* -1 eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(* -1 (* eps (+ 1 (* -1 (/ (sin 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) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
(* -1/362880 (pow eps 9))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 9))
(* -1 (* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
1
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
eps
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
-1/120
(- (* 1/5040 (pow eps 2)) 1/120)
(- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)
(- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120)
(* -1/362880 (pow eps 4))
(* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* -1/362880 (pow eps 4))
(* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880))
(* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
(* (pow eps 4) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4)))))
-1/2
(- (* 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) (/ (sin eps) (cos eps))) eps)))
(+ 1 (+ (* -1 (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps)))) (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps))))
(+ 1 (+ (* -1 (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 2) (cos eps)))) (+ (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* (pow eps 3) (pow (cos eps) 2)))) (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) 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)))
(/ -3 (pow eps 3))
(/ (- (* 6/5 (pow eps 2)) 3) (pow eps 3))
(/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 3))
(/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 3))
(* 2/7875 (pow eps 3))
(* (pow eps 3) (+ 2/7875 (* 1/175 (/ 1 (pow eps 2)))))
(* (pow eps 3) (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4)))))
(* (pow eps 3) (- (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4)))) (* 3 (/ 1 (pow eps 6)))))
(* 2/7875 (pow eps 3))
(* (pow eps 3) (+ 2/7875 (* 1/175 (/ 1 (pow eps 2)))))
(* -1 (* (pow eps 3) (- (* -1 (/ (+ 1/175 (* 6/5 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7875)))
(* -1 (* (pow eps 3) (- (* 3 (/ 1 (pow eps 6))) (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4)))))))
(/ -3 (pow eps 3))
(/ (- (* 6/5 (pow eps 2)) 3) (pow eps 3))
(/ (- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3) (pow eps 3))
(/ (- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3) (pow eps 3))
(/ 1 eps)
(/ (+ 1 (/ (sin eps) (* eps (cos eps)))) eps)
(/ (- (+ 1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (* -1 (/ (sin eps) (* eps (cos eps))))) eps)
(/ (- (+ 1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) eps)
(/ 1 eps)
(* -1 (/ (- (* -1 (/ (sin eps) (* eps (cos eps)))) 1) eps))
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (* -1 (/ (sin eps) (cos eps)))) eps)) 1) eps))
-3
(- (* 6/5 (pow eps 2)) 3)
(- (* (pow eps 2) (+ 6/5 (* 1/175 (pow eps 2)))) 3)
(- (* (pow eps 2) (+ 6/5 (* (pow eps 2) (+ 1/175 (* 2/7875 (pow eps 2)))))) 3)
(* 2/7875 (pow eps 6))
(* (pow eps 6) (+ 2/7875 (* 1/175 (/ 1 (pow eps 2)))))
(* (pow eps 6) (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4)))))
(* (pow eps 6) (- (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4)))) (* 3 (/ 1 (pow eps 6)))))
(* 2/7875 (pow eps 6))
(* (pow eps 6) (+ 2/7875 (* 1/175 (/ 1 (pow eps 2)))))
(* (pow eps 6) (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4)))))
(* (pow eps 6) (- (+ 2/7875 (+ (* 1/175 (/ 1 (pow eps 2))) (/ 6/5 (pow eps 4)))) (* 3 (/ 1 (pow eps 6)))))
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
1
(+ 1 (* -1 (/ (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps))) eps)))
(+ 1 (+ (* -1 (/ (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps))) eps)) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))
(+ 1 (+ (* -1 (/ (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps))) eps)) (+ (* -1 (/ (- (pow (sin eps) 3) (+ (* -1 (* (sin eps) (+ (* -1 (pow (sin eps) 2)) (+ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))))) (+ (* -1 (* (+ (* -1 (pow (sin eps) 2)) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps))))) (/ (pow (sin eps) 3) (pow (cos eps) 2))))) (pow eps 3))) (+ (* -1 (/ (pow (sin eps) 2) (pow eps 2))) (+ (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))))
1
(- (+ 1 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps))
(+ 1 (* -1 (/ (+ (* -1 (- (/ (sin eps) (cos eps)) (sin eps))) (* -1 (/ (+ (* -1 (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps)))) (+ (* -1 (pow (sin eps) 2)) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) eps)))
(+ 1 (* -1 (/ (+ (* -1 (- (/ (sin eps) (cos eps)) (sin eps))) (* -1 (/ (- (+ (* -1 (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps)))) (+ (* -1 (/ (pow (sin eps) 3) eps)) (+ (* -1 (pow (sin eps) 2)) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (+ (* -1 (/ (* (+ (* -1 (pow (sin eps) 2)) (/ (pow (sin eps) 2) (pow (cos eps) 2))) (- (/ (sin eps) (cos eps)) (sin eps))) eps)) (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (+ (* -1 (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps)))) (+ (* -1 (pow (sin eps) 2)) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) eps)))) eps))) eps)))
(* 1/2 (pow eps 5))
(* (pow eps 5) (+ 1/2 (* -13/120 (pow eps 2))))
(* (pow eps 5) (+ 1/2 (* (pow eps 2) (- (* 41/3024 (pow eps 2)) 13/120))))
(* (pow eps 5) (+ 1/2 (* (pow eps 2) (- (* (pow eps 2) (+ 41/3024 (* -671/604800 (pow eps 2)))) 13/120))))
(pow eps 3)
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))))
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))))
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))))
(pow eps 3)
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (pow eps 3)) 1)))
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (pow eps 3)) 1)))
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (pow eps 3)) 1)))
(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)
(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)
(* -1/3 (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 (* -1/6 (pow eps 2)))
(+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))
(/ (sin eps) eps)
(/ (sin eps) eps)
(/ (sin eps) eps)
(/ (sin eps) eps)
(/ (sin eps) eps)
(/ (sin eps) eps)
(/ (sin eps) eps)
(/ (sin eps) eps)
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(* 1/6 (pow eps 2))
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(pow eps 5)
(* -1/6 (pow eps 3))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(* 1/362880 (pow eps 9))
(* (pow eps 9) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))
(* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (* 1/5040 (/ 1 (pow eps 2)))))
(* (pow eps 9) (- (+ 1/362880 (/ 1/120 (pow eps 4))) (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6))))))
(* 1/362880 (pow eps 9))
(* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))
(* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))
(* -1 (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4))))))
(/ 6 (pow eps 3))
(/ (+ 6 (* 3/10 (pow eps 2))) (pow eps 3))
(/ (+ 6 (* (pow eps 2) (+ 3/10 (* 11/1400 (pow eps 2))))) (pow eps 3))
(/ (+ 6 (* (pow eps 2) (+ 3/10 (* (pow eps 2) (+ 11/1400 (* 17/126000 (pow eps 2))))))) (pow eps 3))
(/ 1 eps)
(/ (+ 1 (/ (sin eps) eps)) eps)
(/ (- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (* -1 (/ (sin eps) eps))) eps)
(/ (- (+ 1 (/ (pow (sin eps) 3) (pow eps 3))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (pow (sin eps) 2) (pow eps 2))))) eps)
(/ 1 eps)
(* -1 (/ (- (* -1 (/ (sin eps) eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) eps) (* -1 (sin eps))) eps)) 1) eps))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) eps)) (pow (sin eps) 2)) eps)) (* -1 (sin eps))) eps)) 1) eps))
(* 2/3 (pow eps 4))
(* (pow eps 4) (+ 2/3 (* 17/45 (pow eps 2))))
(* (pow eps 4) (+ 2/3 (* (pow eps 2) (+ 17/45 (* 62/315 (pow eps 2))))))
(* (pow eps 4) (+ 2/3 (* (pow eps 2) (+ 17/45 (* (pow eps 2) (+ 62/315 (* 1382/14175 (pow eps 2))))))))
(* -1 (pow eps 2))
(* (pow eps 2) (- (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) 1))
(* (pow eps 2) (- (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) 1))
(* (pow eps 2) (- (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) 1))
(* -1 (pow eps 2))
(* (pow eps 2) (- (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) 1))
(* (pow eps 2) (- (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) 1))
(* (pow eps 2) (- (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) 1))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
eps
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))

Outputs
(* -1/6 (pow eps 3))
(.f64 eps (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(.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) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(.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 eps)
(neg.f64 eps)
(* eps (- (/ (sin eps) eps) 1))
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))
(* eps (- (/ (sin eps) eps) 1))
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))
(* eps (- (/ (sin eps) eps) 1))
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(.f64 (pow.f64 eps #s(literal 5 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -671/604800 binary64) #s(literal 41/3024 binary64)) #s(literal -13/120 binary64)) #s(literal 1/2 binary64)))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))))
(.f64 (.f64 eps (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))))
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))))
(.f64 (.f64 eps (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))))
(* (pow eps 3) (+ 1 (* -1 (/ (pow (sin eps) 3) (pow eps 3)))))
(.f64 (.f64 eps (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (pow eps 3)) 1)))
(.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) (neg.f64 (.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (pow eps 3)) 1)))
(.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) (neg.f64 (.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (- (/ (pow (sin eps) 3) (pow eps 3)) 1)))
(.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) (neg.f64 (.f64 eps (*.f64 eps eps))))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 3)
(.f64 eps (.f64 eps eps))
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(pow eps 2)
(*.f64 eps eps)
(* -1/3 (pow eps 3))
(.f64 (.f64 #s(literal -1/3 binary64) (*.f64 eps eps)) eps)
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) #s(literal -2/15 binary64) #s(literal -1/3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -17/315 binary64) #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 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))))))
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) eps)
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) eps)
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) eps)
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps)))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow eps 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 eps eps) #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6)))
(fma.f64 eps (.f64 eps (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6)))
(fma.f64 (.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)) #s(literal 1 binary64))
(/ (sin eps) eps)
(/.f64 (sin.f64 eps) eps)
(/ (sin eps) eps)
(/.f64 (sin.f64 eps) eps)
(/ (sin eps) eps)
(/.f64 (sin.f64 eps) eps)
(/ (sin eps) eps)
(/.f64 (sin.f64 eps) eps)
(/ (sin eps) eps)
(/.f64 (sin.f64 eps) eps)
(/ (sin eps) eps)
(/.f64 (sin.f64 eps) eps)
(/ (sin eps) eps)
(/.f64 (sin.f64 eps) eps)
(/ (sin eps) eps)
(/.f64 (sin.f64 eps) eps)
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(* 1/6 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(pow eps 5)
(pow.f64 eps #s(literal 5 binary64))
(* -1/6 (pow eps 3))
(.f64 eps (.f64 #s(literal -1/6 binary64) (*.f64 eps eps)))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 #s(literal 1/120 binary64) (.f64 eps eps) #s(literal -1/6 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(.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) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(.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) (- 1/362880 (* 1/5040 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 9 binary64)) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 eps eps))))
(* (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 1/120 binary64) (pow.f64 eps #s(literal 4 binary64))) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal -1/5040 binary64) (.f64 eps eps)))))
(* (pow 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 1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal -1/5040 binary64) (.f64 eps eps)) (/.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 6 binary64))))))
(* 1/362880 (pow eps 9))
(*.f64 #s(literal 1/362880 binary64) (pow.f64 eps #s(literal 9 binary64)))
(* -1 (* (pow eps 9) (- (* 1/5040 (/ 1 (pow eps 2))) 1/362880)))
(.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) (- (* 1/5040 (/ 1 (pow eps 2))) (+ 1/362880 (/ 1/120 (pow eps 4))))))
(.f64 (-.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps)) (+.f64 #s(literal 1/362880 binary64) (/.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 4 binary64))))) (neg.f64 (pow.f64 eps #s(literal 9 binary64))))
(* -1 (* (pow eps 9) (- (+ (* 1/5040 (/ 1 (pow eps 2))) (* 1/6 (/ 1 (pow eps 6)))) (+ 1/362880 (/ 1/120 (pow eps 4))))))
(.f64 (+.f64 (/.f64 #s(literal 1/5040 binary64) (.f64 eps eps)) (+.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1/362880 binary64)) (/.f64 #s(literal -1/120 binary64) (pow.f64 eps #s(literal 4 binary64))))) (neg.f64 (pow.f64 eps #s(literal 9 binary64))))
(/ 6 (pow eps 3))
(/.f64 #s(literal 6 binary64) (.f64 eps (.f64 eps eps)))
(/ (+ 6 (* 3/10 (pow eps 2))) (pow eps 3))
(/.f64 (fma.f64 (.f64 eps eps) #s(literal 3/10 binary64) #s(literal 6 binary64)) (.f64 eps (*.f64 eps eps)))
(/ (+ 6 (* (pow eps 2) (+ 3/10 (* 11/1400 (pow eps 2))))) (pow eps 3))
(/.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 11/1400 binary64) #s(literal 3/10 binary64))) #s(literal 6 binary64)) (.f64 eps (.f64 eps eps)))
(/ (+ 6 (* (pow eps 2) (+ 3/10 (* (pow eps 2) (+ 11/1400 (* 17/126000 (pow eps 2))))))) (pow eps 3))
(/.f64 (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) #s(literal 17/126000 binary64) #s(literal 11/1400 binary64))) #s(literal 3/10 binary64)) #s(literal 6 binary64)) (.f64 eps (*.f64 eps eps)))
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(/ (+ 1 (/ (sin eps) eps)) eps)
(/.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)
(/ (- (+ 1 (/ (pow (sin eps) 2) (pow eps 2))) (* -1 (/ (sin eps) eps))) eps)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) eps)) eps)
(/ (- (+ 1 (/ (pow (sin eps) 3) (pow eps 3))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (pow (sin eps) 2) (pow eps 2))))) eps)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 eps) eps) #s(literal 3 binary64))) (/.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) eps)) eps)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(* -1 (/ (- (* -1 (/ (sin eps) eps)) 1) eps))
(/.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) eps)
(* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 2) eps) (* -1 (sin eps))) eps)) 1) eps))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps)) eps)) eps)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) eps)) (pow (sin eps) 2)) eps)) (* -1 (sin eps))) eps)) 1) eps))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (neg.f64 eps)) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (neg.f64 eps))) eps))) (neg.f64 eps))
(* 2/3 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 2/3 binary64))
(* (pow eps 4) (+ 2/3 (* 17/45 (pow eps 2))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 17/45 binary64) #s(literal 2/3 binary64)))
(* (pow eps 4) (+ 2/3 (* (pow eps 2) (+ 17/45 (* 62/315 (pow eps 2))))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 eps (*.f64 eps #s(literal 62/315 binary64)) #s(literal 17/45 binary64)) #s(literal 2/3 binary64)))
(* (pow eps 4) (+ 2/3 (* (pow eps 2) (+ 17/45 (* (pow eps 2) (+ 62/315 (* 1382/14175 (pow eps 2))))))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 1382/14175 binary64) #s(literal 62/315 binary64)) #s(literal 17/45 binary64)) #s(literal 2/3 binary64)))
(* -1 (pow eps 2))
(*.f64 eps (neg.f64 eps))
(* (pow eps 2) (- (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) 1))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))
(* (pow eps 2) (- (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) 1))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))
(* (pow eps 2) (- (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) 1))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))
(* -1 (pow eps 2))
(*.f64 eps (neg.f64 eps))
(* (pow eps 2) (- (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) 1))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))
(* (pow eps 2) (- (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) 1))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))
(* (pow eps 2) (- (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) 1))
(.f64 (.f64 eps eps) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (.f64 (.f64 eps eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))
(* -1/3 (pow eps 3))
(.f64 (.f64 #s(literal -1/3 binary64) (*.f64 eps eps)) eps)
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) #s(literal -2/15 binary64) #s(literal -1/3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -17/315 binary64) #s(literal -2/15 binary64)) #s(literal -1/3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 (.f64 eps (.f64 eps eps)) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 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))))))
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) eps)
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) eps)
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 (neg.f64 eps) (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) eps)
eps
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(neg.f64 (fma.f64 eps (/.f64 (sin.f64 eps) (*.f64 eps (cos.f64 eps))) (neg.f64 eps)))

rewrite388.0ms (2%)

Memory

25.3MiB live, 755.9MiB allocated

Rules

5 040×	`lower-fma.f32`
5 018×	`lower-fma.f64`
4 622×	`lower-*.f32`
4 608×	`lower-*.f64`
2 472×	`lower-pow.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	435
0	113	403
1	559	368
2	4895	360
0	8340	360

Stop Event

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

Counts

24 → 645

Calls

Call 1

Inputs
(fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))
(neg.f64 (fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps)))
(/.f64 #s(approx (- eps (sin eps)) (neg.f64 (fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps)))) (-.f64 eps (tan.f64 eps)))
#s(approx (- eps (sin eps)) (neg.f64 (fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps))))
(fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))
(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))) (-.f64 eps (tan.f64 eps)))
#s(approx (- eps (sin eps)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64)))))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))
(/.f64 #s(approx (/ 1 (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) #s(literal -3 binary64)) (.f64 eps (.f64 eps eps)))) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) 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 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) #s(literal -3 binary64)) (.f64 eps (*.f64 eps eps)))
#s(approx (/ 1 (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) #s(literal -3 binary64)) (.f64 eps (*.f64 eps eps))))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) #s(literal -3 binary64))
(/.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (-.f64 (neg.f64 eps) (tan.f64 eps))) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (*.f64 eps eps))))
(-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))
(.f64 eps (.f64 eps eps))
(*.f64 eps eps)
(-.f64 eps (tan.f64 eps))
(/.f64 (sin.f64 eps) eps)
(.f64 (.f64 eps eps) #s(literal 1/6 binary64))
(.f64 (.f64 eps eps) (.f64 eps (.f64 eps 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 #s(literal -1 binary64) #s(approx (- (sin eps) 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 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps))
(/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)) (-.f64 (neg.f64 eps) (tan.f64 eps)))

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

eval192.0ms (1%)

Memory: 62.3MiB live, 472.7MiB allocated
Compiler: Compiled 63 358 to 3 576 computations (94.4% saved)

prune217.0ms (1.1%)

Memory

-59.1MiB live, 496.8MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	1 471	5	1 476
Fresh	0	0	0
Picked	3	1	4
Done	0	6	6
Total	1 474	12	1 486

Accuracy

100.0%

Counts

1 486 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	1.1%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
	31.7%	(/.f64 #s(approx (/ 1 (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) #s(literal -3 binary64)) (.f64 eps (.f64 eps eps)))) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (.f64 (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)) eps) (*.f64 eps eps)))))
✓	1.0%	(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))) (-.f64 eps (tan.f64 eps)))
	0.8%	(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)) (-.f64 eps (tan.f64 eps)))
✓	1.0%	(/.f64 #s(approx (- eps (sin 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 (tan.f64 eps)))
	1.0%	(.f64 (/.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)))) (-.f64 (neg.f64 eps) (tan.f64 eps)))
	0.9%	(.f64 (/.f64 (.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 (-.f64 (neg.f64 eps) (tan.f64 eps)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)))) (fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))) #s(literal 3 binary64)))) (fma.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))) #s(literal 2 binary64))))
	31.8%	(.f64 (neg.f64 #s(approx (- (sin eps) 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)))))) #s(approx (/ 1 (- eps (tan eps))) (/.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64))) #s(literal -3 binary64)) (.f64 eps (.f64 eps eps)))))
✓	99.8%	#s(approx (/ (/ 1 (- eps (tan eps))) (/ -1 (- (sin eps) eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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)))
✓	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 905 to 294 computations (67.5% saved)

regimes14.0ms (0.1%)

Memory

5.9MiB live, 45.1MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (/ (/ 1 (- eps (tan eps))) (/ -1 (- (sin eps) eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 eps eps) (fma.f64 eps (.f64 eps (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 9/40 binary64)) #s(literal -1/2 binary64)))
(.f64 (neg.f64 #s(approx (- (sin eps) 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)))))) #s(approx (/ 1 (- eps (tan eps))) (/.f64 (fma.f64 eps (.f64 eps (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64))) #s(literal -3 binary64)) (.f64 eps (.f64 eps eps)))))
(/.f64 #s(approx (/ 1 (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) #s(literal -3 binary64)) (.f64 eps (.f64 eps eps)))) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) 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 #s(approx (/ 1 (- eps (tan eps))) (/.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal 2/7875 binary64) #s(literal 1/175 binary64)) #s(literal 6/5 binary64)) #s(literal -3 binary64)) (.f64 eps (.f64 eps eps)))) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (.f64 (.f64 (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)) eps) (*.f64 eps eps)))))
(/.f64 #s(approx (- eps (sin 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 (tan.f64 eps)))
(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (.f64 (.f64 eps eps) (.f64 eps (.f64 eps eps))) (.f64 eps (.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))) (-.f64 eps (tan.f64 eps)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) 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 (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(/.f64 #s(approx (- eps (sin eps)) (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)) (-.f64 eps (tan.f64 eps)))
(/.f64 #s(approx (- eps (sin eps)) (neg.f64 (fma.f64 eps (/.f64 (sin.f64 eps) eps) (neg.f64 eps)))) (-.f64 eps (tan.f64 eps)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal -1 binary64) (-.f64 (sin.f64 eps) eps)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 eps (tan.f64 eps))) (/.f64 #s(literal -1 binary64) #s(approx (- (sin eps) eps) (neg.f64 (fma.f64 (/.f64 (sin.f64 eps) eps) (neg.f64 eps) eps)))))
(fma.f64 (sin.f64 eps) (/.f64 #s(literal 1 binary64) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 eps (tan.f64 eps))))
(/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (*.f64 eps eps) (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps))) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (neg.f64 (+.f64 eps (tan.f64 eps)))) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps (tan.f64 eps)))) (.f64 eps eps))))
(.f64 (/.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (.f64 eps eps)))) (-.f64 (neg.f64 eps) (tan.f64 eps)))
(/.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (-.f64 (neg.f64 eps) (tan.f64 eps))) (fma.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)) (*.f64 eps eps))))
(.f64 (/.f64 (.f64 (-.f64 (.f64 eps (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 (-.f64 (neg.f64 eps) (tan.f64 eps)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)))) (fma.f64 eps (.f64 eps (.f64 eps (.f64 eps (.f64 eps eps)))) (pow.f64 (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))) #s(literal 3 binary64)))) (fma.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps)))) (pow.f64 (.f64 (sin.f64 eps) (+.f64 eps (sin.f64 eps))) #s(literal 2 binary64))))

Outputs

#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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)))

Calls

2 calls:

7.0ms	eps
6.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes4.0ms (0%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.8%	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)

regimes4.0ms (0%)

Memory

-27.6MiB live, 11.5MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

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

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

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (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
99.8%	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)

regimes2.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #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
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)

simplify6.0ms (0%)

Memory

18.7MiB live, 18.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	74
1	25	74

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness300.0ms (1.5%)

Memory

-18.8MiB live, 218.4MiB allocated

Rules

11 676×	`lower-fma.f64`
11 676×	`lower-fma.f32`
4 916×	`lower-*.f64`
4 916×	`lower-*.f32`
1 986×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	578
1	502	532
2	1920	484
0	8281	458

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 77 to 39 computations (49.4% saved)

preprocess69.0ms (0.4%)

Memory: -3.5MiB live, 157.9MiB allocated
Remove: (abs eps)
Compiler: Compiled 226 to 116 computations (48.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	27
1	29	23
2	84	18
3	269	18
4	579	18
5	753	18
6	854	18
7	892	18
8	991	18
0	6	9
0	11	9
1	18	9
2	34	9
3	75	9
4	161	9
5	285	9
6	521	9
7	779	9
8	825	9
9	924	9
0	924	9

Iter	Nodes	Cost
0	6	22
0	11	22
1	18	22
2	34	22
3	75	22
4	161	22
5	285	22
6	521	22
7	779	22
8	825	22
9	924	22
0	924	22

Iter	Nodes	Cost
0	8	27
1	29	23
2	84	18
3	269	18
4	579	18
5	753	18
6	854	18
7	892	18
8	991	18
0	6	9
0	11	9
1	18	9
2	34	9
3	75	9
4	161	9
5	285	9
6	521	9
7	779	9
8	825	9
9	924	9
0	924	9

Iter	Nodes	Cost
0	6	22
0	11	22
1	18	22
2	34	22
3	75	22
4	161	22
5	285	22
6	521	22
7	779	22
8	825	22
9	924	22
0	924	22

start0.0ms (0%)

analyze371.0ms (1.9%)

sample9.9s (51.1%)

explain530.0ms (2.7%)

preprocess60.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify28.0ms (0.1%)

localize263.0ms (1.4%)

series4.0ms (0%)

simplify554.0ms (2.9%)

rewrite254.0ms (1.3%)

eval67.0ms (0.3%)

prune80.0ms (0.4%)

simplify251.0ms (1.3%)

localize458.0ms (2.4%)

series22.0ms (0.1%)

simplify352.0ms (1.8%)

rewrite556.0ms (2.9%)

eval215.0ms (1.1%)

prune223.0ms (1.1%)

simplify267.0ms (1.4%)

localize909.0ms (4.7%)

series17.0ms (0.1%)

simplify317.0ms (1.6%)

rewrite380.0ms (2%)

eval172.0ms (0.9%)

prune462.0ms (2.4%)

simplify256.0ms (1.3%)

localize763.0ms (3.9%)

series24.0ms (0.1%)

simplify450.0ms (2.3%)

rewrite388.0ms (2%)

eval192.0ms (1%)

prune217.0ms (1.1%)

regimes14.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes2.0ms (0%)

simplify6.0ms (0%)

soundness300.0ms (1.5%)

preprocess69.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	27
1	29	23
2	84	18
3	269	18
4	579	18
5	753	18
6	854	18
7	892	18
8	991	18
0	6	9
0	11	9
1	18	9
2	34	9
3	75	9
4	161	9
5	285	9
6	521	9
7	779	9
8	825	9
9	924	9
0	924	9

Iter	Nodes	Cost
0	6	22
0	11	22
1	18	22
2	34	22
3	75	22
4	161	22
5	285	22
6	521	22
7	779	22
8	825	22
9	924	22
0	924	22