Metrics for sintan (problem 3.4.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze356.0ms (3.6%)

Memory

29.0MiB live, 445.5MiB allocated; 78ms collecting garbage

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)

sample8.0s (80.7%)

Memory

-96.8MiB live, 6 566.3MiB allocated; 1.9s collecting garbage

Samples

5.4s	4 348×	2	valid
1.8s	1 439×	3	valid
434.0ms	2 422×	1	valid
3.0ms	47×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 7.3s

ival-tan: 4.5s (61.7% of total)

ival-sin: 2.1s (28.5% of total)

adjust: 455.0ms (6.3% of total)

ival-sub!: 145.0ms (2% of total)

ival-div!: 114.0ms (1.6% of total)

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

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

ival-<=: 0.0ms (0% of total)

Bogosity

explain555.0ms (5.6%)

Memory

2.5MiB live, 292.6MiB allocated; 14ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
178	-	1	(-9.42210831984993e-106)	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
79	-	0	-	`(-.f64 eps (tan.f64 eps))`
79	-	0	-	`(-.f64 eps (sin.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	177	0
↳	`(-.f64 eps (sin.f64 eps))`	underflow	177
↳	`(-.f64 eps (tan.f64 eps))`	underflow	177
`-.f64`	`(-.f64 eps (sin.f64 eps))`	cancellation	79	0
`-.f64`	`(-.f64 eps (tan.f64 eps))`	cancellation	79	0

Confusion

	Predicted +	Predicted -
+	255	0
-	1	0

Precision

0.99609375

Recall

1.0

Confusion?

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

Precision?

0.99609375

Recall?

1.0

Freqs

test

number	freq
1	177
2	79

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

336.0ms	296×	2	valid
138.0ms	90×	3	valid
18.0ms	126×	1	valid

Compiler

Compiled 57 to 22 computations (61.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 469.0ms

ival-tan: 297.0ms (63.4% of total)

ival-sin: 137.0ms (29.2% of total)

adjust: 19.0ms (4.1% of total)

ival-sub!: 9.0ms (1.9% of total)

ival-div!: 6.0ms (1.3% of total)

preprocess191.0ms (1.9%)

Memory

19.9MiB live, 64.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	30	36
2	50	36
3	79	36
4	129	36
5	255	36
6	605	36
7	1971	36
8	6592	36
0	6	9
0	11	9
1	17	9
2	20	9
3	25	9
4	34	9
5	56	9
6	106	9
7	226	9
8	682	9
9	1909	9
10	4842	9
0	8106	9

Stop Event

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

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)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.7%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

series5.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Counts

6 → 36

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	eps	@	-inf	((/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) eps (sin eps) (- eps (tan eps)) (tan eps))
2.0ms	eps	@	inf	((/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) eps (sin eps) (- eps (tan eps)) (tan eps))
1.0ms	eps	@	0	((/ (- eps (sin eps)) (- eps (tan eps))) (- eps (sin eps)) eps (sin eps) (- eps (tan eps)) (tan eps))

Time

Variable

Point

Expression

2.0ms

eps

-inf

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

2.0ms

eps

inf

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

1.0ms

eps

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

rewrite170.0ms (1.7%)

Memory

-13.5MiB live, 129.8MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	208	765
0	216	713
1	1202	686
0	8326	665

Stop Event

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

Counts

42 → 70

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

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

eval6.0ms (0.1%)

Memory: 9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 519 to 349 computations (77% saved)

prune3.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	3	77

Accuracy

100.0%

Counts

77 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64)))
▶	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
▶	99.1%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Status

Accuracy

Program

▶

100.0%

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

▶

99.9%

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

▶

99.1%

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

Compiler

Compiled 50 to 34 computations (32% saved)

series6.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Counts

14 → 32

Calls

Call 1

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

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (* (* eps eps) 9/40) #s(hole binary64 (* 9/40 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* 9/40 (pow eps 2))))
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 9/40))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole 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)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 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))))))))
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 (* 9/40 (pow eps 2))))
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* -27/2800 (pow eps 4))))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))))
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* -27/2800 (pow eps 4))))
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 (* -27/2800 (pow eps 2))))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 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)))))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

eps

inf

((/ (- eps (sin eps)) (- eps (tan eps))) -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (* eps eps) eps 9/40 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) (+ (* -27/2800 (* eps eps)) 9/40) -27/2800)

1.0ms

eps

-inf

((/ (- eps (sin eps)) (- eps (tan eps))) -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (* eps eps) eps 9/40 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) (+ (* -27/2800 (* eps eps)) 9/40) -27/2800)

1.0ms

eps

((/ (- eps (sin eps)) (- eps (tan eps))) -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (* eps eps) eps 9/40 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) (+ (* -27/2800 (* eps eps)) 9/40) -27/2800)

rewrite196.0ms (2%)

Memory

10.6MiB live, 148.2MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	826
0	157	773
1	801	719
0	7663	694

Stop Event

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

Counts

46 → 182

Calls

Call 1

Inputs
#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))) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
(*.f64 eps eps)
eps
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64)))
(-.f64 (.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
#s(literal -27/2800 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (* (* eps eps) 9/40) #s(hole binary64 (* 9/40 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* 9/40 (pow eps 2))))
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 9/40))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole 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)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 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))))))))
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 (* 9/40 (pow eps 2))))
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* -27/2800 (pow eps 4))))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))))
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* -27/2800 (pow eps 4))))
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 (* -27/2800 (pow eps 2))))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 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)))))

Outputs
#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) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64))))
(fma.f64 (*.f64 #s(literal 9/40 binary64) (fabs.f64 eps)) (fabs.f64 eps) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 9/40 binary64) (neg.f64 eps)) (neg.f64 eps) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 9/40 binary64) (.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 eps (*.f64 #s(literal 9/40 binary64) eps) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64)))))
(-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal 9/40 binary64) (fabs.f64 eps)) (fabs.f64 eps))
(.f64 (.f64 #s(literal 9/40 binary64) (neg.f64 eps)) (neg.f64 eps))
(.f64 (.f64 #s(literal 9/40 binary64) eps) eps)
(.f64 (fabs.f64 eps) (.f64 (fabs.f64 eps) #s(literal 9/40 binary64)))
(.f64 (neg.f64 eps) (.f64 (neg.f64 eps) #s(literal 9/40 binary64)))
(.f64 (.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1 binary64))
(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
(.f64 #s(literal 9/40 binary64) (.f64 #s(literal 1 binary64) (*.f64 eps eps)))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(.f64 eps (.f64 #s(literal 9/40 binary64) eps))
(*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)))
(*.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps)))
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)))
(*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 eps eps)
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 eps) #s(literal 2 binary64))
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 eps) eps))
(fabs.f64 (*.f64 eps eps))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))
eps
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64))))
(fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (fabs.f64 eps)) (fabs.f64 eps) #s(literal -1/2 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (neg.f64 eps)) (neg.f64 eps) #s(literal -1/2 binary64))
(fma.f64 (.f64 #s(literal 9/40 binary64) (fabs.f64 eps)) (fabs.f64 eps) (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 9/40 binary64) (neg.f64 eps)) (neg.f64 eps) (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 9/40 binary64) eps) eps (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 eps) (.f64 (fabs.f64 eps) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64))) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 eps) (.f64 (fabs.f64 eps) #s(literal 9/40 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 eps) (.f64 (neg.f64 eps) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64))) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 eps) (.f64 (neg.f64 eps) #s(literal 9/40 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 9/40 binary64) (.f64 #s(literal 1 binary64) (.f64 eps eps)) (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)) #s(literal 1/2 binary64)))
(fma.f64 eps (.f64 #s(literal 9/40 binary64) eps) (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)) #s(literal 1/2 binary64)))
(fma.f64 eps (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) #s(literal -1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)))))
(-.f64 (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64))
(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (fabs.f64 eps)) (fabs.f64 eps))
(.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (neg.f64 eps)) (neg.f64 eps))
(.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps)
(.f64 (fabs.f64 eps) (.f64 (fabs.f64 eps) (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64))))
(.f64 (neg.f64 eps) (.f64 (neg.f64 eps) (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64))))
(.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (*.f64 eps eps))
(.f64 (.f64 eps eps) (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)))
(.f64 eps (.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps))
(/.f64 (.f64 (fma.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -81/1600 binary64)) (.f64 eps eps)) (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal -9/40 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 81/1600 binary64) (.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)))) (.f64 eps eps)) (-.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal -19683/21952000000 binary64) (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal 729/64000 binary64)) (.f64 eps eps)) (fma.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 81/1600 binary64) (.f64 #s(literal -243/112000 binary64) (*.f64 eps eps)))))
(/.f64 (.f64 (fma.f64 #s(literal -19683/21952000000 binary64) (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal 729/64000 binary64)) (.f64 eps eps)) (fma.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal -9/40 binary64)) #s(literal 81/1600 binary64)))
(/.f64 (.f64 (.f64 eps eps) (fma.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -81/1600 binary64))) (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal -9/40 binary64)))
(/.f64 (.f64 (.f64 eps eps) (-.f64 #s(literal 81/1600 binary64) (.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64))))) (-.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))
(/.f64 (.f64 (.f64 eps eps) (fma.f64 #s(literal -19683/21952000000 binary64) (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal 729/64000 binary64))) (fma.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 81/1600 binary64) (.f64 #s(literal -243/112000 binary64) (*.f64 eps eps)))))
(/.f64 (.f64 (.f64 eps eps) (fma.f64 #s(literal -19683/21952000000 binary64) (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal 729/64000 binary64))) (fma.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal -9/40 binary64)) #s(literal 81/1600 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)) (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)))) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal 729/64000 binary64) (pow.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)) (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64))) (.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64))))))
(fma.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) (fabs.f64 eps)) (fabs.f64 eps) (.f64 (*.f64 eps eps) #s(literal 9/40 binary64)))
(fma.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) (neg.f64 eps)) (neg.f64 eps) (.f64 (*.f64 eps eps) #s(literal 9/40 binary64)))
(fma.f64 (.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) eps) eps (.f64 (*.f64 eps eps) #s(literal 9/40 binary64)))
(fma.f64 (.f64 (.f64 eps eps) (.f64 #s(literal -27/2800 binary64) eps)) eps (.f64 (*.f64 eps eps) #s(literal 9/40 binary64)))
(fma.f64 (.f64 #s(literal 9/40 binary64) (fabs.f64 eps)) (fabs.f64 eps) (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)))
(fma.f64 (.f64 #s(literal 9/40 binary64) (neg.f64 eps)) (neg.f64 eps) (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)))
(fma.f64 (.f64 #s(literal 9/40 binary64) eps) eps (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)))
(fma.f64 (.f64 #s(literal -27/2800 binary64) eps) (pow.f64 eps #s(literal 3 binary64)) (.f64 (*.f64 eps eps) #s(literal 9/40 binary64)))
(fma.f64 (fabs.f64 eps) (.f64 (fabs.f64 eps) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))) (.f64 (*.f64 eps eps) #s(literal 9/40 binary64)))
(fma.f64 (fabs.f64 eps) (.f64 (fabs.f64 eps) #s(literal 9/40 binary64)) (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)))
(fma.f64 (neg.f64 eps) (.f64 (neg.f64 eps) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))) (.f64 (*.f64 eps eps) #s(literal 9/40 binary64)))
(fma.f64 (neg.f64 eps) (.f64 (neg.f64 eps) #s(literal 9/40 binary64)) (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (.f64 (.f64 eps eps) #s(literal 9/40 binary64)))
(fma.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) (.f64 (*.f64 eps eps) #s(literal 9/40 binary64)))
(fma.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)))
(fma.f64 (.f64 eps eps) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 (*.f64 eps eps) #s(literal 9/40 binary64)))
(fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)))
(fma.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)) (.f64 (.f64 eps eps) #s(literal 9/40 binary64)))
(fma.f64 #s(literal 9/40 binary64) (.f64 #s(literal 1 binary64) (.f64 eps eps)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)))
(fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)))
(fma.f64 eps (.f64 eps (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))) (.f64 (*.f64 eps eps) #s(literal 9/40 binary64)))
(fma.f64 eps (.f64 #s(literal 9/40 binary64) eps) (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)))
(-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 (.f64 #s(literal 27/2800 binary64) (.f64 eps eps)) (.f64 eps eps)))
(-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 (.f64 (neg.f64 eps) eps) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))
(+.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)) (.f64 (*.f64 eps eps) #s(literal 9/40 binary64)))
(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)))
(/.f64 (-.f64 #s(literal 729/64000 binary64) (pow.f64 (.f64 #s(literal 27/2800 binary64) (.f64 eps eps)) #s(literal 3 binary64))) (+.f64 #s(literal 81/1600 binary64) (fma.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)) (.f64 #s(literal 9/40 binary64) (.f64 #s(literal 27/2800 binary64) (*.f64 eps eps))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -81/1600 binary64))) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal -9/40 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 81/1600 binary64) (.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -19683/21952000000 binary64) (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal 729/64000 binary64))) (neg.f64 (fma.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 81/1600 binary64) (.f64 #s(literal -243/112000 binary64) (*.f64 eps eps))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -19683/21952000000 binary64) (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal 729/64000 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal -9/40 binary64)) #s(literal 81/1600 binary64))))
(/.f64 (fma.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -81/1600 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal -9/40 binary64)))
(/.f64 (-.f64 #s(literal 81/1600 binary64) (.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)))) (-.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64))))
(/.f64 (fma.f64 #s(literal -19683/21952000000 binary64) (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal 729/64000 binary64)) (fma.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 81/1600 binary64) (.f64 #s(literal -243/112000 binary64) (*.f64 eps eps)))))
(/.f64 (fma.f64 #s(literal -19683/21952000000 binary64) (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal 729/64000 binary64)) (fma.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal -9/40 binary64)) #s(literal 81/1600 binary64)))
(fma.f64 (*.f64 #s(literal -27/2800 binary64) (fabs.f64 eps)) (fabs.f64 eps) #s(literal 9/40 binary64))
(fma.f64 (*.f64 #s(literal -27/2800 binary64) (neg.f64 eps)) (neg.f64 eps) #s(literal 9/40 binary64))
(fma.f64 (*.f64 #s(literal -27/2800 binary64) eps) eps #s(literal 9/40 binary64))
(fma.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
(fma.f64 eps (*.f64 #s(literal -27/2800 binary64) eps) #s(literal 9/40 binary64))
(-.f64 (/.f64 (.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal -9/40 binary64))) (/.f64 #s(literal 81/1600 binary64) (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal -9/40 binary64))))
(-.f64 (/.f64 #s(literal 81/1600 binary64) (-.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))) (/.f64 (.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 #s(literal 9/40 binary64) (.f64 (*.f64 eps eps) #s(literal -27/2800 binary64)))))
(-.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) #s(literal -9/40 binary64))
(-.f64 #s(literal 9/40 binary64) (.f64 (neg.f64 (.f64 #s(literal -27/2800 binary64) eps)) eps))
(-.f64 #s(literal 9/40 binary64) (.f64 (.f64 (neg.f64 eps) eps) #s(literal -27/2800 binary64)))
(-.f64 #s(literal 9/40 binary64) (.f64 #s(literal 27/2800 binary64) (.f64 eps eps)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 81/1600 binary64) (.f64 #s(literal -243/112000 binary64) (.f64 eps eps))))) (/.f64 #s(literal 729/64000 binary64) (fma.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 81/1600 binary64) (.f64 #s(literal -243/112000 binary64) (.f64 eps eps))))))
(+.f64 (/.f64 #s(literal 729/64000 binary64) (fma.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal -9/40 binary64)) #s(literal 81/1600 binary64))) (/.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal -9/40 binary64)) #s(literal 81/1600 binary64))))
(+.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))
#s(literal -27/2800 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) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (* eps eps) 9/40) 1/2) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
#s(approx (* (* eps eps) 9/40) (.f64 (.f64 eps eps) #s(literal 9/40 binary64)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx eps eps)
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) (.f64 (.f64 eps eps) #s(literal 9/40 binary64)))
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(literal 9/40 binary64))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal 1 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (tan.f64 eps)) (*.f64 eps eps)) (tan.f64 eps) (/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (tan.f64 eps)) eps)) #s(literal 1 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (tan.f64 eps)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 eps) (tan.f64 eps)) (*.f64 eps eps)) (tan.f64 eps) (/.f64 (tan.f64 eps) eps)))))
#s(approx (- (* (* eps eps) 9/40) 1/2) (.f64 (.f64 eps eps) #s(literal 9/40 binary64)))
#s(approx (- (* (* eps eps) 9/40) 1/2) (.f64 (.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 9/40 binary64)) eps) eps))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (.f64 (-.f64 (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 9/40 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (.f64 (-.f64 (-.f64 (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 9/40 binary64)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)))
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) (.f64 (-.f64 (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 9/40 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) (.f64 (.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 9/40 binary64)) #s(literal 27/2800 binary64)) eps) eps))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (/.f64 (tan.f64 eps) eps) (sin.f64 eps)) (tan.f64 eps)) eps)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (-.f64 (neg.f64 (.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps))) (.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (tan.f64 eps))) eps)) (tan.f64 eps)) eps)))

eval33.0ms (0.3%)

Memory: -9.7MiB live, 43.9MiB allocated; 6ms collecting garbage
Compiler: Compiled 5 716 to 819 computations (85.7% saved)

prune7.0ms (0.1%)

Memory

-33.1MiB live, 14.1MiB allocated; 2ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	222	2	224
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	224	3	227

Accuracy

100.0%

Counts

227 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #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) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
✓	99.1%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Status

Accuracy

Program

▶

100.0%

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

✓

99.1%

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

Compiler

Compiled 48 to 32 computations (33.3% saved)

series3.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Counts

10 → 27

Calls

Call 1

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

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (+ (* (* eps eps) 9/40) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* eps eps) 9/40) -1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (+ (* (* eps eps) -27/2800) 9/40) (* eps eps)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* (* eps eps) -27/2800) 9/40) (* eps eps)) -1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (+ (* (+ (* (* eps eps) -27/2800) 9/40) (* eps eps)) -1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (+ (* (* eps eps) -27/2800) 9/40) #s(hole binary64 9/40))
#s(approx (+ (* (* eps eps) -27/2800) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole 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)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 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))))))))
#s(approx (+ (* (* eps eps) 9/40) -1/2) #s(hole binary64 (* 9/40 (pow eps 2))))
#s(approx (+ (* (* eps eps) 9/40) -1/2) #s(hole binary64 (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* (* eps eps) -27/2800) 9/40) (* eps eps)) -1/2) #s(hole binary64 (* -27/2800 (pow eps 4))))
#s(approx (+ (* (+ (* (* eps eps) -27/2800) 9/40) (* eps eps)) -1/2) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))))
#s(approx (+ (* (+ (* (* eps eps) -27/2800) 9/40) (* eps eps)) -1/2) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))))
#s(approx (+ (* (* eps eps) -27/2800) 9/40) #s(hole binary64 (* -27/2800 (pow eps 2))))
#s(approx (+ (* (* eps eps) -27/2800) 9/40) #s(hole binary64 (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 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)))))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

eps

inf

((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) eps 9/40 -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (* eps eps) -27/2800) 9/40) (* eps eps)) -1/2) (+ (* (* eps eps) -27/2800) 9/40) -27/2800)

1.0ms

eps

-inf

((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) eps 9/40 -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (* eps eps) -27/2800) 9/40) (* eps eps)) -1/2) (+ (* (* eps eps) -27/2800) 9/40) -27/2800)

1.0ms

eps

((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) eps 9/40 -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (* eps eps) -27/2800) 9/40) (* eps eps)) -1/2) (+ (* (* eps eps) -27/2800) 9/40) -27/2800)

rewrite203.0ms (2%)

Memory

-7.0MiB live, 181.3MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	696
0	145	644
1	795	587
0	7826	581

Stop Event

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

Counts

37 → 151

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(*.f64 eps eps)
eps
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64))
#s(literal -27/2800 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (+ (* (* eps eps) 9/40) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* eps eps) 9/40) -1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (+ (* (* eps eps) -27/2800) 9/40) (* eps eps)) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (+ (* (* eps eps) -27/2800) 9/40) (* eps eps)) -1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (+ (* (+ (* (* eps eps) -27/2800) 9/40) (* eps eps)) -1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (+ (* (* eps eps) -27/2800) 9/40) #s(hole binary64 9/40))
#s(approx (+ (* (* eps eps) -27/2800) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole 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)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 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))))))))
#s(approx (+ (* (* eps eps) 9/40) -1/2) #s(hole binary64 (* 9/40 (pow eps 2))))
#s(approx (+ (* (* eps eps) 9/40) -1/2) #s(hole binary64 (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* (* eps eps) -27/2800) 9/40) (* eps eps)) -1/2) #s(hole binary64 (* -27/2800 (pow eps 4))))
#s(approx (+ (* (+ (* (* eps eps) -27/2800) 9/40) (* eps eps)) -1/2) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))))
#s(approx (+ (* (+ (* (* eps eps) -27/2800) 9/40) (* eps eps)) -1/2) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))))
#s(approx (+ (* (* eps eps) -27/2800) 9/40) #s(hole binary64 (* -27/2800 (pow eps 2))))
#s(approx (+ (* (* eps eps) -27/2800) 9/40) #s(hole binary64 (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 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)))))

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)))) (-.f64 #s(literal -1/2 binary64) (.f64 (*.f64 eps eps) #s(literal 9/40 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal 729/64000 binary64) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 eps eps) #s(literal -9/80 binary64))))))
(/.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal 729/64000 binary64) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (.f64 (.f64 eps eps) #s(literal -9/80 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 eps eps) #s(literal 3 binary64)) #s(literal 729/64000 binary64) #s(literal -1/8 binary64)) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 eps eps) #s(literal -9/80 binary64)))))
(fma.f64 (*.f64 #s(literal 9/40 binary64) (fabs.f64 eps)) (fabs.f64 eps) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 9/40 binary64) (neg.f64 eps)) (neg.f64 eps) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 9/40 binary64) (.f64 #s(literal 1 binary64) (.f64 eps eps)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 eps (*.f64 #s(literal 9/40 binary64) eps) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64)))))
(-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal -1/2 binary64) (.f64 (.f64 (neg.f64 eps) eps) #s(literal 9/40 binary64)))
(-.f64 #s(literal -1/2 binary64) (.f64 #s(literal -9/40 binary64) (.f64 eps eps)))
(-.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 eps) (.f64 #s(literal 9/40 binary64) eps)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -9/80 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 eps eps) #s(literal -9/80 binary64))))))
(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 eps eps) #s(literal 9/40 binary64)))
(*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)))
(*.f64 (fabs.f64 (fabs.f64 eps)) (fabs.f64 (fabs.f64 eps)))
(*.f64 (exp.f64 (log.f64 eps)) (exp.f64 (log.f64 eps)))
(*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)))
(*.f64 (fabs.f64 eps) (fabs.f64 eps))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 eps eps)
(pow.f64 (exp.f64 (log.f64 eps)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 eps) #s(literal 2 binary64))
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 eps) eps))
(fabs.f64 (*.f64 eps eps))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))
eps
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps)))
(/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps)) (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)))))
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#s(approx (+ (* (+ (* (* eps eps) -27/2800) 9/40) (* eps eps)) -1/2) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64)))
#s(approx (+ (* (+ (* (* eps eps) -27/2800) 9/40) (* eps eps)) -1/2) (.f64 (-.f64 (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 9/40 binary64)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* (+ (* (* eps eps) -27/2800) 9/40) (* eps eps)) -1/2) (.f64 (-.f64 (-.f64 (.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 9/40 binary64)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (+ (* (* eps eps) -27/2800) 9/40) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))
#s(approx (+ (* (* eps eps) -27/2800) 9/40) (.f64 (.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 9/40 binary64)) #s(literal 27/2800 binary64)) eps) eps))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (/.f64 (tan.f64 eps) eps) (sin.f64 eps)) (tan.f64 eps)) eps)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (-.f64 (neg.f64 (.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps))) (.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (tan.f64 eps))) eps)) (tan.f64 eps)) eps)))

eval22.0ms (0.2%)

Memory: 36.5MiB live, 36.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 945 to 635 computations (87.2% saved)

prune9.0ms (0.1%)

Memory

-31.0MiB live, 16.3MiB allocated; 1ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	194	3	197

Accuracy

100.0%

Counts

197 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #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) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
✓	99.1%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Status

Accuracy

Program

✓

100.0%

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

✓

99.1%

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

Compiler

Compiled 144 to 61 computations (57.6% saved)

regimes4.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Counts

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

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (.f64 eps eps) #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
100.0%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
100.0%	1	`eps`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

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

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

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #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
99.9%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
99.9%	1	`eps`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

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
99.1%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
99.1%	1	`eps`

Compiler

Compiled 10 to 7 computations (30% saved)

derivations120.0ms (1.2%)

Memory

-24.0MiB live, 75.0MiB allocated; 5ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 48 to 16 computations (66.7% saved)

preprocess19.0ms (0.2%)

Memory: 29.2MiB live, 29.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 128 to 56 computations (56.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze356.0ms (3.6%)

sample8.0s (80.7%)

explain555.0ms (5.6%)

preprocess191.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0.1%)

rewrite170.0ms (1.7%)

eval6.0ms (0.1%)

prune3.0ms (0%)

series6.0ms (0.1%)

rewrite196.0ms (2%)

eval33.0ms (0.3%)

prune7.0ms (0.1%)

series3.0ms (0%)

rewrite203.0ms (2%)

eval22.0ms (0.2%)

prune9.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

derivations120.0ms (1.2%)

preprocess19.0ms (0.2%)

end0.0ms (0%)

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