Metrics for sintan (problem 3.4.5)

start0.0ms (0%)

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

analyze244.0ms (2.5%)

Memory

-6.4MiB live, 235.9MiB allocated; 55ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	49.9%	50.1%	0%	0%	0%	0
0%	0%	49.9%	50.1%	0%	0%	0%	1
0%	0%	49.9%	50.1%	0%	0%	0%	2
0%	0%	49.9%	50.1%	0%	0%	0%	3
0%	0%	49.9%	50.1%	0%	0%	0%	4
0%	0%	49.9%	50.1%	0%	0%	0%	5
0%	0%	49.9%	50.1%	0%	0%	0%	6
0%	0%	49.9%	50.1%	0%	0%	0%	7
0%	0%	49.9%	50.1%	0%	0%	0%	8
0%	0%	49.9%	50.1%	0%	0%	0%	9
0%	0%	49.9%	50.1%	0%	0%	0%	10
0%	0%	49.9%	50.1%	0%	0%	0%	11
0%	0%	49.9%	50.1%	0%	0%	0%	12

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample8.5s (85.8%)

Memory

-83.1MiB live, 7 007.0MiB allocated; 2.4s collecting garbage

Samples

6.1s	4 365×	2	valid
1.5s	1 443×	3	valid
451.0ms	2 392×	1	valid
3.0ms	56×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 7.8s

ival-tan: 4.7s (60.4% of total)

ival-sin: 2.4s (30.4% of total)

adjust: 389.0ms (5% of total)

ival-sub!: 165.0ms (2.1% of total)

ival-div!: 161.0ms (2.1% of total)

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

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

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

Bogosity

preprocess56.0ms (0.6%)

Memory

-25.7MiB live, 62.6MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	38	36
2	112	34
3	389	32
4	2106	32

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	0.4%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 12 to 12 computations (0% saved)

series5.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB 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))

rewrite330.0ms (3.3%)

Memory

-7.7MiB live, 293.2MiB allocated; 80ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	204	745
0	212	693
1	1199	666
0	8132	645

Stop Event

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

Counts

38 → 66

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

eval5.0ms (0.1%)

Memory: 11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 742 to 341 computations (54% saved)

prune2.0ms (0%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	57	3	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	3	61

Accuracy

100.0%

Counts

61 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64)))
▶	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
▶	99.7%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Status

Accuracy

Program

▶

100.0%

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

▶

99.9%

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

▶

99.7%

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

Compiler

Compiled 35 to 34 computations (2.9% saved)

series5.0ms (0.1%)

Memory

10.2MiB live, 10.3MiB allocated; 0ms collecting garbage

Counts

14 → 23

Calls

Call 1

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

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (* (* eps eps) 9/40) #s(hole binary64 (* 9/40 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 9/40))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))))
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 (* (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) 9/40) (* eps eps) eps 9/40 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) (+ (* -27/2800 (* eps eps)) 9/40) -27/2800)
1.0ms	eps	@	-inf	((/ (- eps (sin eps)) (- eps (tan eps))) -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (* eps eps) eps 9/40 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) (+ (* -27/2800 (* eps eps)) 9/40) -27/2800)
1.0ms	eps	@	0	((/ (- eps (sin eps)) (- eps (tan eps))) -1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (* eps eps) eps 9/40 1/2 (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) (+ (* -27/2800 (* eps eps)) 9/40) -27/2800)

Time

Variable

Point

Expression

2.0ms

eps

inf

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

1.0ms

eps

-inf

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

1.0ms

eps

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

rewrite231.0ms (2.3%)

Memory

7.5MiB live, 193.8MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	673
0	148	623
1	789	569
0	7622	553

Stop Event

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

Counts

37 → 173

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
(*.f64 eps eps)
eps
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64)))
(-.f64 (.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))
(.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
#s(literal -27/2800 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (* (* eps eps) 9/40) #s(hole binary64 (* 9/40 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 9/40))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))))
#s(approx (- (* (* eps eps) 9/40) 1/2) #s(hole binary64 (* (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 #s(literal 9/40 binary64) eps) eps #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 81/1600 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps)) (.f64 (.f64 eps eps) #s(literal 9/40 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps) (fma.f64 (*.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 #s(literal 81/1600 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps) #s(literal -1/4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) #s(literal 1/2 binary64)))
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(fma.f64 (*.f64 #s(literal 9/40 binary64) (fabs.f64 eps)) (fabs.f64 eps) #s(literal -1/2 binary64))
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(-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 (.f64 (neg.f64 eps) eps) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))
(-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 (.f64 #s(literal 27/2800 binary64) (.f64 eps eps)) (.f64 eps eps)))
(+.f64 (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) #s(literal -27/2800 binary64)) (.f64 (.f64 eps eps) #s(literal 9/40 binary64)))
(+.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) #s(literal -27/2800 binary64)))
(/.f64 (-.f64 #s(literal 729/64000 binary64) (pow.f64 (.f64 #s(literal 27/2800 binary64) (.f64 eps eps)) #s(literal 3 binary64))) (+.f64 #s(literal 81/1600 binary64) (fma.f64 #s(literal 729/7840000 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps) (.f64 #s(literal 9/40 binary64) (.f64 #s(literal 27/2800 binary64) (.f64 eps eps))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 729/7840000 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps) #s(literal -81/1600 binary64))) (neg.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal -9/40 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 81/1600 binary64) (.f64 #s(literal 729/7840000 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps)))) (neg.f64 (-.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 729/7840000 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps)) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) #s(literal 729/64000 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 729/7840000 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps) #s(literal 81/1600 binary64)) (.f64 #s(literal -243/112000 binary64) (*.f64 eps eps)))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 729/7840000 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps)) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) #s(literal 729/64000 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal -9/40 binary64)) #s(literal 81/1600 binary64))))
(/.f64 (fma.f64 #s(literal 729/7840000 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps) #s(literal -81/1600 binary64)) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal -9/40 binary64)))
(/.f64 (-.f64 #s(literal 81/1600 binary64) (.f64 #s(literal 729/7840000 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps))) (-.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 729/7840000 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps)) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) #s(literal 729/64000 binary64)) (-.f64 (fma.f64 #s(literal 729/7840000 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps) #s(literal 81/1600 binary64)) (.f64 #s(literal -243/112000 binary64) (*.f64 eps eps))))
(/.f64 (fma.f64 (.f64 #s(literal 729/7840000 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps)) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) #s(literal 729/64000 binary64)) (fma.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal -9/40 binary64)) #s(literal 81/1600 binary64)))
(fma.f64 (*.f64 #s(literal -27/2800 binary64) (fabs.f64 eps)) (fabs.f64 eps) #s(literal 9/40 binary64))
(fma.f64 (*.f64 #s(literal -27/2800 binary64) (neg.f64 eps)) (neg.f64 eps) #s(literal 9/40 binary64))
(fma.f64 (*.f64 #s(literal -27/2800 binary64) eps) eps #s(literal 9/40 binary64))
(fma.f64 (fabs.f64 eps) (*.f64 (fabs.f64 eps) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(fma.f64 (neg.f64 eps) (*.f64 (neg.f64 eps) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
(fma.f64 eps (*.f64 #s(literal -27/2800 binary64) eps) #s(literal 9/40 binary64))
(-.f64 (/.f64 (.f64 #s(literal 729/7840000 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps)) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal -9/40 binary64))) (/.f64 #s(literal 81/1600 binary64) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal -9/40 binary64))))
(-.f64 (/.f64 #s(literal 81/1600 binary64) (-.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))) (/.f64 (.f64 #s(literal 729/7840000 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps)) (-.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))))
(-.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) #s(literal -9/40 binary64))
(-.f64 #s(literal 9/40 binary64) (.f64 (neg.f64 (.f64 #s(literal -27/2800 binary64) eps)) eps))
(-.f64 #s(literal 9/40 binary64) (.f64 (.f64 (neg.f64 eps) eps) #s(literal -27/2800 binary64)))
(-.f64 #s(literal 9/40 binary64) (.f64 #s(literal 27/2800 binary64) (.f64 eps eps)))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 729/7840000 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps)) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))) (-.f64 (fma.f64 #s(literal 729/7840000 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps) #s(literal 81/1600 binary64)) (.f64 #s(literal -243/112000 binary64) (.f64 eps eps)))) (/.f64 #s(literal 729/64000 binary64) (-.f64 (fma.f64 #s(literal 729/7840000 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps) #s(literal 81/1600 binary64)) (.f64 #s(literal -243/112000 binary64) (*.f64 eps eps)))))
(+.f64 (/.f64 #s(literal 729/64000 binary64) (fma.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal -9/40 binary64)) #s(literal 81/1600 binary64))) (/.f64 (.f64 (.f64 #s(literal 729/7840000 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps)) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64))) (fma.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal -9/40 binary64)) #s(literal 81/1600 binary64))))
(+.f64 (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)) #s(literal 9/40 binary64))
(+.f64 #s(literal 9/40 binary64) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))
#s(literal -27/2800 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 #s(literal 9/40 binary64) eps) eps #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 (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)) eps) eps #s(literal -1/2 binary64)))
#s(approx (* (* eps eps) 9/40) (.f64 (.f64 eps eps) #s(literal 9/40 binary64)))
#s(approx (* eps eps) (*.f64 eps eps))
#s(approx eps eps)
#s(approx (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) #s(literal 9/40 binary64))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal 1 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (+.f64 (fma.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 eps) (tan.f64 eps))) (*.f64 eps eps)) (tan.f64 eps) (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (neg.f64 eps))) #s(literal 1 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (+.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 eps) (tan.f64 eps))) (.f64 (.f64 eps eps) eps)) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps))) (/.f64 (tan.f64 eps) eps)) (.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 eps) (tan.f64 eps))) (.f64 eps eps)) (tan.f64 eps))))
#s(approx (- (* (* eps eps) 9/40) 1/2) (.f64 (.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) eps))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) #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)) (.f64 (.f64 (*.f64 eps eps) eps) eps)))
#s(approx (- (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) 1/2) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps))) (.f64 (.f64 (.f64 eps eps) eps) eps)))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) (.f64 (.f64 eps eps) #s(literal -27/2800 binary64)))
#s(approx (+ (* -27/2800 (* eps eps)) 9/40) (.f64 (.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (/.f64 (tan.f64 eps) eps) (sin.f64 eps)) (tan.f64 eps)) eps)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (-.f64 (neg.f64 (.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) eps))) (.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (tan.f64 eps))) eps)) (tan.f64 eps)) eps)))

eval22.0ms (0.2%)

Memory: -33.6MiB live, 57.9MiB allocated; 7ms collecting garbage
Compiler: Compiled 1 790 to 725 computations (59.5% saved)

prune3.0ms (0%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	174	2	176
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	176	3	179

Accuracy

100.0%

Counts

179 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
▶	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
✓	99.7%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Status

Accuracy

Program

▶

100.0%

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

▶

99.9%

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

✓

99.7%

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

Compiler

Compiled 33 to 32 computations (3% saved)

series3.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Counts

10 → 22

Calls

Call 1

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

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (* eps eps) -27/2800) 9/40) #s(hole binary64 9/40))
#s(approx (+ (* (* eps eps) -27/2800) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))))
#s(approx (+ (* (* eps eps) 9/40) -1/2) #s(hole binary64 (* 9/40 (pow eps 2))))
#s(approx (+ (* (* eps eps) 9/40) -1/2) #s(hole binary64 (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* (* eps eps) -27/2800) 9/40) (* eps eps)) -1/2) #s(hole binary64 (* -27/2800 (pow eps 4))))
#s(approx (+ (* (+ (* (* eps eps) -27/2800) 9/40) (* eps eps)) -1/2) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))))
#s(approx (+ (* (+ (* (* eps eps) -27/2800) 9/40) (* eps eps)) -1/2) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))))
#s(approx (+ (* (* eps eps) -27/2800) 9/40) #s(hole binary64 (* -27/2800 (pow eps 2))))
#s(approx (+ (* (* eps eps) -27/2800) 9/40) #s(hole binary64 (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

eps

inf

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

1.0ms

eps

-inf

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

1.0ms

eps

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

rewrite261.0ms (2.6%)

Memory

20.0MiB live, 214.0MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	617
0	140	566
1	799	512
0	7797	506

Stop Event

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

Counts

32 → 146

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(*.f64 eps eps)
eps
#s(literal 9/40 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64))
#s(literal -27/2800 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (+ (* (* eps eps) -27/2800) 9/40) #s(hole binary64 9/40))
#s(approx (+ (* (* eps eps) -27/2800) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))))
#s(approx (+ (* (* eps eps) 9/40) -1/2) #s(hole binary64 (* 9/40 (pow eps 2))))
#s(approx (+ (* (* eps eps) 9/40) -1/2) #s(hole binary64 (* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (+ (* (* eps eps) -27/2800) 9/40) (* eps eps)) -1/2) #s(hole binary64 (* -27/2800 (pow eps 4))))
#s(approx (+ (* (+ (* (* eps eps) -27/2800) 9/40) (* eps eps)) -1/2) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))))
#s(approx (+ (* (+ (* (* eps eps) -27/2800) 9/40) (* eps eps)) -1/2) #s(hole binary64 (* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))))
#s(approx (+ (* (* eps eps) -27/2800) 9/40) #s(hole binary64 (* -27/2800 (pow eps 2))))
#s(approx (+ (* (* eps eps) -27/2800) 9/40) #s(hole binary64 (* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))))

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

eval28.0ms (0.3%)

Memory: -15.7MiB live, 30.1MiB allocated; 4ms collecting garbage
Compiler: Compiled 1 512 to 576 computations (61.9% saved)

prune5.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	149	3	152

Accuracy

100.0%

Counts

152 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
✓	99.7%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Status

Accuracy

Program

✓

100.0%

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

✓

99.9%

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

✓

99.7%

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

Compiler

Compiled 82 to 61 computations (25.6% saved)

regimes4.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	eps
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)

regimes3.0ms (0%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

2 calls:

1.0ms	eps
1.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

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

Compiler

Compiled 7 to 7 computations (0% saved)

regimes32.0ms (0.3%)

Memory

-53.8MiB live, 4.8MiB allocated; 15ms 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:

31.0ms	eps
1.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

Accuracy	Segments	Branch
99.7%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
99.7%	1	`eps`

Compiler

Compiled 7 to 7 computations (0% saved)

derivations124.0ms (1.3%)

Memory

44.8MiB live, 91.3MiB allocated; 3ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 28 to 16 computations (42.9% saved)

preprocess37.0ms (0.4%)

Memory: -33.0MiB live, 108.4MiB allocated; 18ms collecting garbage
Compiler: Compiled 66 to 50 computations (24.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze244.0ms (2.5%)

sample8.5s (85.8%)

preprocess56.0ms (0.6%)

series5.0ms (0.1%)

rewrite330.0ms (3.3%)

eval5.0ms (0.1%)

prune2.0ms (0%)

series5.0ms (0.1%)

rewrite231.0ms (2.3%)

eval22.0ms (0.2%)

prune3.0ms (0%)

series3.0ms (0%)

rewrite261.0ms (2.6%)

eval28.0ms (0.3%)

prune5.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes32.0ms (0.3%)

derivations124.0ms (1.3%)

preprocess37.0ms (0.4%)

end0.0ms (0%)

Profiling