Metrics for sintan (problem 3.4.5)

start0.0ms (0%)

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

analyze274.0ms (2.7%)

Memory

14.3MiB live, 212.3MiB allocated; 47ms 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)

sample9.1s (88.6%)

Memory

0.8MiB live, 8 088.6MiB allocated; 2.5s collecting garbage

Samples

6.5s	4 446×	2	valid
1.6s	1 371×	3	valid
477.0ms	2 389×	1	valid
3.0ms	50×	0	valid

Precisions

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

ival-tan: 5.2s (62.7% of total)

ival-sin: 2.4s (29.5% of total)

adjust: 411.0ms (5% of total)

ival-sub!: 135.0ms (1.6% of total)

ival-div!: 99.0ms (1.2% of total)

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

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

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

Bogosity

preprocess50.0ms (0.5%)

Memory

-4.4MiB live, 40.3MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	60	27
2	239	27
3	748	27
4	4409	27

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(abs eps)

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Counts

6 → 32

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 (+ 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 (+ 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 (+ 1 (* -1 (/ (sin eps) eps))))))
#s(approx (sin eps) #s(hole binary64 (sin 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))

rewrite235.0ms (2.3%)

Memory

-7.6MiB live, 181.3MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	204	745
0	212	693
1	1409	666
0	8181	631
1	27238	631

Stop Event

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

Counts

38 → 55

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

eval4.0ms (0%)

Memory: 4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 504 to 250 computations (50.4% saved)

prune2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	3	50

Accuracy

100.0%

Counts

50 → 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 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
▶	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
▶	99.2%	#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 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))

▶

100.0%

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

▶

99.2%

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

Compiler

Compiled 33 to 32 computations (3% saved)

series4.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Counts

11 → 22

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

rewrite182.0ms (1.8%)

Memory

33.9MiB live, 121.0MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	628
0	140	577
1	967	518
0	8524	509
1	27804	509

Stop Event

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

Counts

33 → 85

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

eval22.0ms (0.2%)

Memory: -39.7MiB live, 21.5MiB allocated; 6ms collecting garbage
Compiler: Compiled 688 to 331 computations (51.9% saved)

prune2.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	89	3	92

Accuracy

100.0%

Counts

92 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
▶	47.3%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (*.f64 eps eps))))
✓	99.2%	#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 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))

▶

47.3%

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

✓

99.2%

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

Compiler

Compiled 39 to 38 computations (2.6% saved)

series4.0ms (0%)

Memory

8.5MiB live, 8.5MiB allocated; 0ms collecting garbage

Counts

9 → 20

Calls

Call 1

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

Time

Variable

Point

Expression

1.0ms

eps

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

1.0ms

eps

inf

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

1.0ms

eps

-inf

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

rewrite233.0ms (2.3%)

Memory

-3.0MiB live, 226.1MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	571
0	128	528
1	883	467
0	8383	451
1	28831	451

Stop Event

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

Counts

29 → 87

Calls

Call 1

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

eval6.0ms (0.1%)

Memory: 16.6MiB live, 16.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 744 to 386 computations (48.1% saved)

prune3.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
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))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
✓	47.3%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 eps eps))) (*.f64 eps eps))))
✓	99.2%	#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 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))

✓

47.3%

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

✓

99.2%

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

Compiler

Compiled 85 to 70 computations (17.6% saved)

regimes4.0ms (0%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Counts

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

Outputs
#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)))

Calls

2 calls:

2.0ms	eps
1.0ms	(/.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 7 to 7 computations (0% saved)

regimes6.0ms (0.1%)

Memory

-37.2MiB live, 8.2MiB allocated; 5ms 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))) #s(approx (+ (* (* eps eps) 9/40) -1/2) (*.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) (*.f64 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)))

Calls

2 calls:

5.0ms	eps
1.0ms	(/.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 7 to 7 computations (0% saved)

regimes2.0ms (0%)

Memory

5.9MiB live, 5.9MiB 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
99.2%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
99.2%	1	`eps`

Compiler

Compiled 7 to 7 computations (0% saved)

derivations84.0ms (0.8%)

Memory

-12.8MiB live, 85.4MiB allocated; 19ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 28 to 16 computations (42.9% saved)

preprocess40.0ms (0.4%)

Memory: 12.4MiB live, 57.0MiB allocated; 8ms collecting garbage
Remove: (abs eps)
Compiler: Compiled 132 to 114 computations (13.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze274.0ms (2.7%)

sample9.1s (88.6%)

preprocess50.0ms (0.5%)

series5.0ms (0.1%)

rewrite235.0ms (2.3%)

eval4.0ms (0%)

prune2.0ms (0%)

series4.0ms (0%)

rewrite182.0ms (1.8%)

eval22.0ms (0.2%)

prune2.0ms (0%)

series4.0ms (0%)

rewrite233.0ms (2.3%)

eval6.0ms (0.1%)

prune3.0ms (0%)

regimes4.0ms (0%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

derivations84.0ms (0.8%)

preprocess40.0ms (0.4%)

end0.0ms (0%)

Profiling