Metrics for sintan (problem 3.4.5)

start0.0ms (0%)

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

analyze253.0ms (2.2%)

Memory

1.9MiB live, 184.1MiB allocated; 28ms 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)

sample9.0s (78.7%)

Memory

48.2MiB live, 6 804.3MiB allocated; 1.7s collecting garbage

Samples

6.5s	4 478×	2	valid
1.5s	1 292×	3	valid
545.0ms	2 424×	1	valid
4.0ms	62×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.2s

ival-tan: 4.5s (55.2% of total)

ival-sin: 2.2s (26.3% of total)

adjust: 946.0ms (11.6% of total)

ival-sub: 343.0ms (4.2% of total)

ival-div: 224.0ms (2.7% of total)

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

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

const: 0.0ms (0% of total)

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

Bogosity

explain617.0ms (5.4%)

Memory

6.6MiB live, 391.3MiB allocated; 40ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
165	-	2	(-6.479485168767805e-107)	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
93	-	0	-	`(-.f64 eps (tan.f64 eps))`
93	-	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	163	0
↳	`(-.f64 eps (sin.f64 eps))`	underflow	163
↳	`(-.f64 eps (tan.f64 eps))`	underflow	163
`-.f64`	`(-.f64 eps (sin.f64 eps))`	cancellation	93	0
`-.f64`	`(-.f64 eps (tan.f64 eps))`	cancellation	93	0

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	256	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	163
2	93

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

367.0ms	266×	2	valid
109.0ms	80×	3	valid
35.0ms	160×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 57 to 22 computations (61.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 480.0ms

ival-tan: 298.0ms (62.1% of total)

ival-sin: 128.0ms (26.7% of total)

adjust: 33.0ms (6.9% of total)

ival-sub: 15.0ms (3.1% of total)

ival-div: 7.0ms (1.5% of total)

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

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

preprocess207.0ms (1.8%)

Memory

-1.8MiB live, 186.3MiB allocated; 21ms 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.3%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

series6.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB 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))

rewrite203.0ms (1.8%)

Memory

-31.5MiB live, 157.9MiB allocated; 14ms 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: 7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 519 to 349 computations (77% saved)

prune7.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	1	77

Accuracy

100.0%

Counts

77 → 1

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 (-.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)))

Status

Accuracy

Program

▶

100.0%

#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)))

Compiler

Compiled 28 to 17 computations (39.3% saved)

series6.0ms (0.1%)

Memory

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

Counts

12 → 38

Calls

Call 1

Inputs
#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)))
(-.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))
(.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))
(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 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64))
(.f64 #s(literal 27/112000 binary64) (.f64 eps eps))
#s(literal 27/112000 binary64)
(*.f64 eps eps)
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))) #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 (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 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 (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* 9/40 (pow eps 2))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 9/40))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2)))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 -27/2800))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 (- (* 27/112000 (pow eps 2)) 27/2800)))
#s(approx (* 27/112000 (* eps eps)) #s(hole binary64 (* 27/112000 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#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 (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* 27/112000 (pow eps 4))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 (* 27/112000 (pow eps 2))))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#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))) (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (- (* 27/112000 (* eps eps)) 27/2800) (* 27/112000 (* eps eps)) 27/112000 (* eps eps) eps 27/2800 9/40 1/2)
2.0ms	eps	@	-inf	((/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (- (* 27/112000 (* eps eps)) 27/2800) (* 27/112000 (* eps eps)) 27/112000 (* eps eps) eps 27/2800 9/40 1/2)
1.0ms	eps	@	0	((/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (- (* 27/112000 (* eps eps)) 27/2800) (* 27/112000 (* eps eps)) 27/112000 (* eps eps) eps 27/2800 9/40 1/2)

Time

Variable

Point

Expression

2.0ms

eps

inf

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

2.0ms

eps

-inf

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

1.0ms

eps

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

rewrite185.0ms (1.6%)

Memory

24.6MiB live, 158.4MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	1118
0	170	1057
1	854	1003
0	8138	938

Stop Event

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

Counts

50 → 177

Calls

Call 1

Inputs
#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)))
(-.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))
(.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))
(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 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64))
(.f64 #s(literal 27/112000 binary64) (.f64 eps eps))
#s(literal 27/112000 binary64)
(*.f64 eps eps)
eps
#s(literal 27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal 1/2 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 (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 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 (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* 9/40 (pow eps 2))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 9/40))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2)))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 -27/2800))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 (- (* 27/112000 (pow eps 2)) 27/2800)))
#s(approx (* 27/112000 (* eps eps)) #s(hole binary64 (* 27/112000 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#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 (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* 27/112000 (pow eps 4))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 (* 27/112000 (pow eps 2))))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#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 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64))))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (fabs.f64 eps)) (fabs.f64 eps) #s(literal -1/2 binary64))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #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)) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 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)) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 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)) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 eps) (.f64 (fabs.f64 eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #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)) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 eps) (.f64 (neg.f64 eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps 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)) (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (.f64 eps eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #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)) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 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)) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 1/2 binary64)))
(fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 1/2 binary64)))
(fma.f64 eps (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) #s(literal -1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #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 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) (pow.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)))))
(-.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal 1/2 binary64))
(+.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #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)) (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (fabs.f64 eps)) (fabs.f64 eps))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (neg.f64 eps)) (neg.f64 eps))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
(.f64 (fabs.f64 eps) (.f64 (fabs.f64 eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))))
(.f64 (neg.f64 eps) (.f64 (neg.f64 eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))))
(.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps))
(.f64 (.f64 eps eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)))
(.f64 eps (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps) #s(literal 2 binary64)) #s(literal 81/1600 binary64)) (.f64 eps eps)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps) #s(literal 9/40 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 81/1600 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps) #s(literal 2 binary64))) (.f64 eps eps)) (-.f64 #s(literal 9/40 binary64) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) eps)))
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(.f64 (.f64 #s(literal 27/112000 binary64) (fabs.f64 eps)) (fabs.f64 eps))
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(.f64 eps (.f64 #s(literal 27/112000 binary64) eps))
#s(literal 27/112000 binary64)
(*.f64 (neg.f64 (fabs.f64 eps)) (neg.f64 (fabs.f64 eps)))
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eps
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#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
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#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 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
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#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 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 (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
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#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) (.f64 (.f64 eps eps) #s(literal 9/40 binary64)))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) (.f64 (.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(literal 9/40 binary64))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)))
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#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(literal -27/2800 binary64))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)))
#s(approx (* 27/112000 (* eps eps)) (.f64 (.f64 #s(literal 27/112000 binary64) eps) eps))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx eps eps)
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#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 (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64)))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (*.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal -27/2800 binary64) #s(literal 27/112000 binary64)) (pow.f64 eps #s(literal 6 binary64))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (*.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal -27/2800 binary64) (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64))) (pow.f64 eps #s(literal 6 binary64))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) (.f64 (-.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal -27/2800 binary64) (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64))) (.f64 (pow.f64 eps #s(literal -6 binary64)) #s(literal 1/2 binary64))) (pow.f64 eps #s(literal 6 binary64))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) (*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64)))
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#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 27/112000 binary64)))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (*.f64 (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal -27/2800 binary64) #s(literal 27/112000 binary64))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (*.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal -27/2800 binary64) (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64))) (pow.f64 eps #s(literal 4 binary64))))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) (.f64 (.f64 #s(literal 27/112000 binary64) eps) eps))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) (.f64 (.f64 (fma.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal -27/2800 binary64) #s(literal 27/112000 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)))

eval43.0ms (0.4%)

Memory: -34.7MiB live, 63.1MiB allocated; 20ms collecting garbage
Compiler: Compiled 7 480 to 964 computations (87.1% saved)

prune877.0ms (7.7%)

Memory

40.2MiB live, 849.0MiB allocated; 57ms collecting garbage

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	219	1	220

Accuracy

100.0%

Counts

220 → 1

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 (-.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)))

Status

Accuracy

Program

✓

100.0%

#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)))

Compiler

Compiled 65 to 40 computations (38.5% saved)

derivations25.0ms (0.2%)

Memory

-37.8MiB live, 9.0MiB allocated; 2ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 28 to 17 computations (39.3% saved)

preprocess9.0ms (0.1%)

Memory: 11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 74 to 46 computations (37.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze253.0ms (2.2%)

sample9.0s (78.7%)

explain617.0ms (5.4%)

preprocess207.0ms (1.8%)

eval0.0ms (0%)

prune0.0ms (0%)

series6.0ms (0.1%)

rewrite203.0ms (1.8%)

eval6.0ms (0.1%)

prune7.0ms (0.1%)

series6.0ms (0.1%)

rewrite185.0ms (1.6%)

eval43.0ms (0.4%)

prune877.0ms (7.7%)

derivations25.0ms (0.2%)

preprocess9.0ms (0.1%)

end0.0ms (0%)

Profiling