Metrics for sintan (problem 3.4.5)

start0.0ms (0%)

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

analyze346.0ms (3.1%)

Memory

-3.8MiB live, 416.3MiB allocated; 76ms 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 (76%)

Memory

-135.3MiB live, 9 901.0MiB allocated; 2.1s collecting garbage

Samples

5.6s	4 422×	2	valid
1.9s	1 302×	3	valid
555.0ms	2 483×	1	valid
4.0ms	49×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 7.7s

ival-tan: 4.5s (57.7% of total)

ival-sin: 2.2s (28.4% of total)

adjust: 622.0ms (8.1% of total)

ival-sub: 333.0ms (4.3% of total)

ival-div: 114.0ms (1.5% of total)

ival-assert: 4.0ms (0.1% of total)

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

const: 0.0ms (0% of total)

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

Bogosity

explain516.0ms (4.6%)

Memory

-4.1MiB live, 759.0MiB allocated; 70ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
168	0	-	3	(2.1839199190266116e-107)	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
89	2	(4.644033632443663e-108)	0	-	`(-.f64 eps (tan.f64 eps))`
88	3	(4.644033632443663e-108)	0	-	`(-.f64 eps (sin.f64 eps))`
0	0	-	0	-	`(tan.f64 eps)`
0	0	-	0	-	`eps`
0	0	-	0	-	`(sin.f64 eps)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`	u/u	165	0
↳	`(-.f64 eps (sin.f64 eps))`	underflow	165
↳	`(-.f64 eps (tan.f64 eps))`	underflow	165
`-.f64`	`(-.f64 eps (sin.f64 eps))`	cancellation	91	0
`-.f64`	`(-.f64 eps (tan.f64 eps))`	cancellation	91	0

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	165
2	91

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

308.0ms	290×	2	valid
106.0ms	68×	3	valid
31.0ms	148×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 57 to 22 computations (61.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 416.0ms

ival-tan: 221.0ms (53.1% of total)

ival-sin: 99.0ms (23.8% of total)

ival-sub: 51.0ms (12.3% of total)

adjust: 37.0ms (8.9% of total)

ival-div: 7.0ms (1.7% of total)

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

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

preprocess205.0ms (1.8%)

Memory

12.7MiB live, 242.8MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Outputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	2.5%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

series6.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Counts

6 → 36

Calls

Call 1

Inputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

eps

-inf

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

2.0ms

eps

inf

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

1.0ms

eps

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

rewrite246.0ms (2.2%)

Memory

10.3MiB live, 328.5MiB allocated; 136ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

42 → 70

Calls

Call 1

Inputs
(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
(-.f64 eps (sin.f64 eps))
eps
(sin.f64 eps)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (- eps (sin eps)) #s(hole binary64 (* 1/6 (pow eps 3))))
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))))
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))))
#s(approx (- eps (sin eps)) #s(hole binary64 (* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))))
#s(approx eps #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 eps))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* -1/6 (pow eps 2))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))))
#s(approx (sin eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))))
#s(approx (- eps (tan eps)) #s(hole binary64 (* -1/3 (pow eps 3))))
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))))
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))))
#s(approx (- eps (tan eps)) #s(hole binary64 (* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))))
#s(approx (tan eps) #s(hole binary64 eps))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* 1/3 (pow eps 2))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))))
#s(approx (tan eps) #s(hole binary64 (* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))))
#s(approx (- eps (sin eps)) #s(hole binary64 eps))
#s(approx (- eps (sin eps)) #s(hole binary64 (* eps (+ 1 (* -1 (/ (sin eps) eps))))))
#s(approx (sin eps) #s(hole binary64 (sin eps)))
#s(approx (- eps (tan eps)) #s(hole binary64 eps))
#s(approx (- eps (tan eps)) #s(hole binary64 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))))
#s(approx (tan eps) #s(hole binary64 (/ (sin eps) (cos eps))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))))
#s(approx (- eps (sin eps)) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) eps) 1)))))
#s(approx (- eps (tan eps)) #s(hole binary64 (* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))))

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

eval7.0ms (0.1%)

Memory: 15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 777 to 370 computations (79.2% saved)

prune12.0ms (0.1%)

Memory

-27.1MiB live, 19.2MiB allocated; 5ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Accuracy

100.0%

Counts

77 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64)))

Status

Accuracy

Program

▶

100.0%

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

Compiler

Compiled 28 to 17 computations (39.3% saved)

series6.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Counts

12 → 38

Calls

Call 1

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

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* 9/40 (pow eps 2))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 9/40))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2)))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 -27/2800))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 (- (* 27/112000 (pow eps 2)) 27/2800)))
#s(approx (* 27/112000 (* eps eps)) #s(hole binary64 (* 27/112000 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* 27/112000 (pow eps 4))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 (* 27/112000 (pow eps 2))))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

eps

inf

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

2.0ms

eps

-inf

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

1.0ms

eps

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

rewrite181.0ms (1.6%)

Memory

21.9MiB live, 164.3MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

50 → 177

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64)))
(-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64))
(.f64 (fma.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps))
(fma.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))
(-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64))
(.f64 #s(literal 27/112000 binary64) (.f64 eps eps))
#s(literal 27/112000 binary64)
(*.f64 eps eps)
eps
#s(literal 27/2800 binary64)
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 -1/2))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* 9/40 (pow eps 2)) 1/2)))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* 9/40 (pow eps 2))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 9/40))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* -27/2800 (pow eps 2)))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 -27/2800))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 (- (* 27/112000 (pow eps 2)) 27/2800)))
#s(approx (* 27/112000 (* eps eps)) #s(hole binary64 (* 27/112000 (pow eps 2))))
#s(approx (* eps eps) #s(hole binary64 (pow eps 2)))
#s(approx eps #s(hole binary64 eps))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 1))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) 1/2) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* 27/112000 (pow eps 6))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) #s(hole binary64 (* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* 27/112000 (pow eps 4))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) #s(hole binary64 (* (pow eps 4) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 (* 27/112000 (pow eps 2))))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(hole binary64 (* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))))

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) #s(literal 3 binary64)) (.f64 (.f64 eps eps) eps)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) #s(literal 3 binary64)) (.f64 (.f64 eps eps) eps)) #s(literal 1/8 binary64)) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) eps)) eps (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (fabs.f64 eps)) (fabs.f64 eps) #s(literal -1/2 binary64))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) (neg.f64 eps)) (neg.f64 eps) #s(literal -1/2 binary64))
(fma.f64 (.f64 #s(literal 9/40 binary64) (fabs.f64 eps)) (fabs.f64 eps) (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) (.f64 (.f64 eps eps) eps)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 9/40 binary64) (neg.f64 eps)) (neg.f64 eps) (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) (.f64 (.f64 eps eps) eps)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 9/40 binary64) eps) eps (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) (.f64 (.f64 eps eps) eps)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 eps) (.f64 (fabs.f64 eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 eps) (.f64 (fabs.f64 eps) #s(literal 9/40 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) (.f64 (.f64 eps eps) eps)) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 eps) (.f64 (neg.f64 eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64))) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 eps) (.f64 (neg.f64 eps) #s(literal 9/40 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) (.f64 (.f64 eps eps) eps)) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (.f64 eps eps) (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 eps eps) #s(literal 9/40 binary64) (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) (.f64 (.f64 eps eps) eps)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) (.f64 (.f64 eps eps) eps)) #s(literal 1/2 binary64)))
(fma.f64 eps (.f64 eps #s(literal 9/40 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) eps) (.f64 (.f64 eps eps) eps)) #s(literal 1/2 binary64)))
(fma.f64 eps (.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) #s(literal -1/2 binary64))
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#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (* eps eps)) (.f64 (fma.f64 (pow.f64 (.f64 eps eps) #s(literal -1 binary64)) #s(literal -27/2800 binary64) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps)) #s(literal 27/112000 binary64))) (pow.f64 (.f64 (*.f64 eps eps) eps) #s(literal 2 binary64))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) #s(literal 27/112000 binary64)))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (.f64 (.f64 (.f64 (.f64 eps eps) eps) eps) (fma.f64 (pow.f64 (*.f64 eps eps) #s(literal -1 binary64)) #s(literal -27/2800 binary64) #s(literal 27/112000 binary64))))
#s(approx (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (.f64 (fma.f64 (pow.f64 (.f64 eps eps) #s(literal -1 binary64)) #s(literal -27/2800 binary64) (+.f64 (/.f64 #s(literal 9/40 binary64) (.f64 (.f64 (.f64 eps eps) eps) eps)) #s(literal 27/112000 binary64))) (.f64 (.f64 (.f64 eps eps) eps) eps)))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) (.f64 (.f64 #s(literal 27/112000 binary64) (fabs.f64 eps)) (fabs.f64 eps)))
#s(approx (- (* 27/112000 (* eps eps)) 27/2800) (.f64 (.f64 (fma.f64 (pow.f64 (*.f64 eps eps) #s(literal -1 binary64)) #s(literal -27/2800 binary64) #s(literal 27/112000 binary64)) eps) eps))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 (tan.f64 eps) #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (sin.f64 eps))) eps) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (/.f64 (fma.f64 (tan.f64 eps) #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (sin.f64 eps))) eps) #s(literal 1 binary64))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (sin.f64 eps)))) (neg.f64 eps)) (tan.f64 eps) (-.f64 (sin.f64 eps) (tan.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64) #s(literal 1 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (/.f64 (fma.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 (tan.f64 eps) #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (sin.f64 eps)))) (neg.f64 eps))) (/.f64 #s(literal -1 binary64) eps)) (.f64 (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (tan.f64 eps) #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (sin.f64 eps)))) (neg.f64 eps)) (tan.f64 eps))) #s(literal -1 binary64) (-.f64 (sin.f64 eps) (tan.f64 eps))) (neg.f64 eps)) #s(literal 1 binary64) #s(literal 1 binary64)))

eval33.0ms (0.3%)

Memory: -2.2MiB live, 43.0MiB allocated; 6ms collecting garbage
Compiler: Compiled 8 158 to 992 computations (87.8% saved)

prune190.0ms (1.7%)

Memory

-8.3MiB live, 246.3MiB allocated; 80ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	218	1	219
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	218	2	220

Accuracy

100.0%

Counts

220 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	22.6%	#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 (cosh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
✓	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64)))

Status

Accuracy

Program

▶

22.6%

#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 (cosh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))

✓

100.0%

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

Compiler

Compiled 64 to 40 computations (37.5% saved)

series105.0ms (0.9%)

Memory

-26.1MiB live, 109.4MiB allocated; 18ms collecting garbage

Counts

18 → 54

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
49.0ms	eps	@	-inf	((/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (+ (cosh (* (log eps) 2)) (sinh (* (log eps) 2)))) 1/2) (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (+ (cosh (* (log eps) 2)) (sinh (* (log eps) 2)))) (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (- (* 27/112000 (* eps eps)) 27/2800) (* 27/112000 (* eps eps)) 27/112000 (* eps eps) eps 27/2800 9/40 (+ (cosh (* (log eps) 2)) (sinh (* (log eps) 2))) (cosh (* (log eps) 2)) (* (log eps) 2) (log eps) 2 (sinh (* (log eps) 2)) 1/2)
34.0ms	eps	@	0	((/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (+ (cosh (* (log eps) 2)) (sinh (* (log eps) 2)))) 1/2) (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (+ (cosh (* (log eps) 2)) (sinh (* (log eps) 2)))) (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (- (* 27/112000 (* eps eps)) 27/2800) (* 27/112000 (* eps eps)) 27/112000 (* eps eps) eps 27/2800 9/40 (+ (cosh (* (log eps) 2)) (sinh (* (log eps) 2))) (cosh (* (log eps) 2)) (* (log eps) 2) (log eps) 2 (sinh (* (log eps) 2)) 1/2)
19.0ms	eps	@	inf	((/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (+ (cosh (* (log eps) 2)) (sinh (* (log eps) 2)))) 1/2) (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (+ (cosh (* (log eps) 2)) (sinh (* (log eps) 2)))) (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (- (* 27/112000 (* eps eps)) 27/2800) (* 27/112000 (* eps eps)) 27/112000 (* eps eps) eps 27/2800 9/40 (+ (cosh (* (log eps) 2)) (sinh (* (log eps) 2))) (cosh (* (log eps) 2)) (* (log eps) 2) (log eps) 2 (sinh (* (log eps) 2)) 1/2)

Time

Variable

Point

Expression

49.0ms

eps

-inf

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

34.0ms

eps

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

19.0ms

eps

inf

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

rewrite224.0ms (2%)

Memory

10.7MiB live, 189.1MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	2970
0	261	2453
1	1371	2091
0	8591	2028

Stop Event

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

Counts

72 → 229

Calls

Call 1

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

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64)))
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#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 (.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (pow.f64 (.f64 #s(literal -1 binary64) (sin.f64 eps)) #s(literal 2 binary64))) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (.f64 (-.f64 (sin.f64 eps) (tan.f64 eps)) (sin.f64 eps)) (cos.f64 eps))) eps) #s(literal -1 binary64) (sin.f64 eps)) (tan.f64 eps)) eps) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (+ (cosh (* (log eps) 2)) (sinh (* (log eps) 2)))) 1/2) (.f64 (.f64 (pow.f64 (.f64 eps eps) #s(literal 2 binary64)) #s(literal 27/112000 binary64)) (fma.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (+ (cosh (* (log eps) 2)) (sinh (* (log eps) 2)))) 1/2) (.f64 (fma.f64 (/.f64 #s(literal -27/2800 binary64) (fabs.f64 eps)) (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) (fabs.f64 eps)) (.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) #s(literal 27/112000 binary64))) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64))))
#s(approx (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (+ (cosh (* (log eps) 2)) (sinh (* (log eps) 2)))) 1/2) (.f64 (-.f64 (fma.f64 (/.f64 #s(literal -27/2800 binary64) (fabs.f64 eps)) (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) (fabs.f64 eps)) (fma.f64 (/.f64 #s(literal 9/40 binary64) (.f64 eps eps)) (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) (.f64 eps eps)) (.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) #s(literal 27/112000 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 eps eps) #s(literal 2 binary64)))) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (+ (cosh (* (log eps) 2)) (sinh (* (log eps) 2)))) (.f64 (.f64 (pow.f64 (.f64 eps eps) #s(literal 2 binary64)) #s(literal 27/112000 binary64)) (fma.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (+ (cosh (* (log eps) 2)) (sinh (* (log eps) 2)))) (.f64 (fma.f64 (/.f64 #s(literal -27/2800 binary64) (fabs.f64 eps)) (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) (fabs.f64 eps)) (.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) #s(literal 27/112000 binary64))) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (+ (cosh (* (log eps) 2)) (sinh (* (log eps) 2)))) (.f64 (fma.f64 (/.f64 #s(literal -27/2800 binary64) (fabs.f64 eps)) (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) (fabs.f64 eps)) (fma.f64 (/.f64 #s(literal 9/40 binary64) (.f64 eps eps)) (/.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) (.f64 eps eps)) (.f64 (fma.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) #s(literal 27/112000 binary64)))) (pow.f64 (.f64 eps eps) #s(literal 2 binary64))))
#s(approx (* eps eps) (fma.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))))
#s(approx (cosh (* (log eps) 2)) (*.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
#s(approx (* (log eps) 2) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))
#s(approx (log eps) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (sinh (* (log eps) 2)) (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))

eval33.0ms (0.3%)

Memory: 2.2MiB live, 64.1MiB allocated; 7ms collecting garbage
Compiler: Compiled 15 636 to 1 438 computations (90.8% saved)

prune99.0ms (0.9%)

Memory

7.7MiB live, 97.3MiB allocated; 6ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	259	1	260
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	260	2	262

Accuracy

100.0%

Counts

262 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	11.9%	#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 (fma.f64 (sinh.f64 (log.f64 eps)) (sinh.f64 (log.f64 eps)) (.f64 (cosh.f64 (log.f64 eps)) (cosh.f64 (log.f64 eps)))) (sinh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
✓	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps)) #s(literal 1/2 binary64)))

Status

Accuracy

Program

▶

11.9%

#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 (fma.f64 (sinh.f64 (log.f64 eps)) (sinh.f64 (log.f64 eps)) (*.f64 (cosh.f64 (log.f64 eps)) (cosh.f64 (log.f64 eps)))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))

✓

100.0%

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

Compiler

Compiled 73 to 43 computations (41.1% saved)

series52.0ms (0.5%)

Memory

-7.9MiB live, 83.4MiB allocated; 27ms collecting garbage

Counts

21 → 60

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
23.0ms	eps	@	-inf	((/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (+ (+ (* (sinh (log eps)) (sinh (log eps))) (* (cosh (log eps)) (cosh (log eps)))) (sinh (* (log eps) 2)))) 1/2) (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (+ (+ (* (sinh (log eps)) (sinh (log eps))) (* (cosh (log eps)) (cosh (log eps)))) (sinh (* (log eps) 2)))) (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (- (* 27/112000 (* eps eps)) 27/2800) (* 27/112000 (* eps eps)) 27/112000 (* eps eps) eps 27/2800 9/40 (+ (+ (* (sinh (log eps)) (sinh (log eps))) (* (cosh (log eps)) (cosh (log eps)))) (sinh (* (log eps) 2))) (+ (* (sinh (log eps)) (sinh (log eps))) (* (cosh (log eps)) (cosh (log eps)))) (sinh (log eps)) (log eps) (* (cosh (log eps)) (cosh (log eps))) (cosh (log eps)) (sinh (* (log eps) 2)) (* (log eps) 2) 2 1/2)
15.0ms	eps	@	0	((/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (+ (+ (* (sinh (log eps)) (sinh (log eps))) (* (cosh (log eps)) (cosh (log eps)))) (sinh (* (log eps) 2)))) 1/2) (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (+ (+ (* (sinh (log eps)) (sinh (log eps))) (* (cosh (log eps)) (cosh (log eps)))) (sinh (* (log eps) 2)))) (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (- (* 27/112000 (* eps eps)) 27/2800) (* 27/112000 (* eps eps)) 27/112000 (* eps eps) eps 27/2800 9/40 (+ (+ (* (sinh (log eps)) (sinh (log eps))) (* (cosh (log eps)) (cosh (log eps)))) (sinh (* (log eps) 2))) (+ (* (sinh (log eps)) (sinh (log eps))) (* (cosh (log eps)) (cosh (log eps)))) (sinh (log eps)) (log eps) (* (cosh (log eps)) (cosh (log eps))) (cosh (log eps)) (sinh (* (log eps) 2)) (* (log eps) 2) 2 1/2)
11.0ms	eps	@	inf	((/ (- eps (sin eps)) (- eps (tan eps))) (- (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (+ (+ (* (sinh (log eps)) (sinh (log eps))) (* (cosh (log eps)) (cosh (log eps)))) (sinh (* (log eps) 2)))) 1/2) (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (+ (+ (* (sinh (log eps)) (sinh (log eps))) (* (cosh (log eps)) (cosh (log eps)))) (sinh (* (log eps) 2)))) (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (- (* 27/112000 (* eps eps)) 27/2800) (* 27/112000 (* eps eps)) 27/112000 (* eps eps) eps 27/2800 9/40 (+ (+ (* (sinh (log eps)) (sinh (log eps))) (* (cosh (log eps)) (cosh (log eps)))) (sinh (* (log eps) 2))) (+ (* (sinh (log eps)) (sinh (log eps))) (* (cosh (log eps)) (cosh (log eps)))) (sinh (log eps)) (log eps) (* (cosh (log eps)) (cosh (log eps))) (cosh (log eps)) (sinh (* (log eps) 2)) (* (log eps) 2) 2 1/2)

Time

Variable

Point

Expression

23.0ms

eps

-inf

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

15.0ms

eps

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

11.0ms

eps

inf

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

rewrite199.0ms (1.8%)

Memory

27.0MiB live, 260.2MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	269	3930
0	301	3353
1	1548	2688
0	8824	2626

Stop Event

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

Counts

81 → 287

Calls

Call 1

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

Outputs
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#s(literal 2 binary64)))) (pow.f64 (*.f64 eps eps) #s(literal 2 binary64))))
#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (+ (+ (* (sinh (log eps)) (sinh (log eps))) (* (cosh (log eps)) (cosh (log eps)))) (sinh (* (log eps) 2)))) (.f64 (.f64 (pow.f64 (.f64 eps eps) #s(literal 2 binary64)) #s(literal 27/112000 binary64)) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))) (neg.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))) (.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64))))) (-.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64))))))) (.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))) #s(literal 1/2 binary64)))))
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#s(approx (* (+ (* (- (* 27/112000 (* eps eps)) 27/2800) (* eps eps)) 9/40) (+ (+ (* (sinh (log eps)) (sinh (log eps))) (* (cosh (log eps)) (cosh (log eps)))) (sinh (* (log eps) 2)))) (.f64 (fma.f64 (/.f64 #s(literal -27/2800 binary64) (fabs.f64 eps)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))) (neg.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))) (.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64))))) (-.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64))))))) (.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))) #s(literal 1/2 binary64))) (fabs.f64 eps)) (fma.f64 (/.f64 #s(literal 9/40 binary64) (.f64 eps eps)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))) (neg.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))) (.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64))))) (-.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64))))))) (.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))) #s(literal 1/2 binary64))) (.f64 eps eps)) (.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))) (neg.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))) (.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64))))) (-.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64))))))) (.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))) #s(literal 1/2 binary64))) #s(literal 27/112000 binary64)))) (pow.f64 (.f64 eps eps) #s(literal 2 binary64))))
#s(approx (* eps eps) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))) (neg.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))) (.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64))))) (-.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64))))))) (.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))) #s(literal 1/2 binary64))))
#s(approx (+ (* (sinh (log eps)) (sinh (log eps))) (* (cosh (log eps)) (cosh (log eps)))) (.f64 #s(literal 1/4 binary64) (fma.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))) (neg.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))) (.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64))))) (-.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))))))
#s(approx (sinh (log eps)) (.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (log eps) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (* (cosh (log eps)) (cosh (log eps))) (.f64 (.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64))))) (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))) #s(literal 1/4 binary64)))
#s(approx (cosh (log eps)) (.f64 (fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64))))) #s(literal 1/2 binary64)))
#s(approx (sinh (* (log eps) 2)) (.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))) (.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))) #s(literal 1/2 binary64)))
#s(approx (* (log eps) 2) (*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 eps)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64)))

eval43.0ms (0.4%)

Memory: -4.0MiB live, 87.2MiB allocated; 7ms collecting garbage
Compiler: Compiled 24 586 to 1 943 computations (92.1% saved)

prune59.0ms (0.5%)

Memory

7.2MiB live, 104.4MiB allocated; 14ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	339	0	339
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	339	2	341

Accuracy

100.0%

Counts

341 → 2

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

11.9%

#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 (fma.f64 (sinh.f64 (log.f64 eps)) (sinh.f64 (log.f64 eps)) (*.f64 (cosh.f64 (log.f64 eps)) (cosh.f64 (log.f64 eps)))) (sinh.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))

✓

100.0%

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

Compiler

Compiled 191 to 82 computations (57.1% saved)

regimes4.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Accuracy

Total -63.1b remaining (-263416.7%)

Threshold costs -63.1b (-263416.7%)

Counts

4 → 1

Calls

Call 1

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

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 10 to 7 computations (30% saved)

simplify71.0ms (0.6%)

Memory

0.3MiB live, 47.2MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	28
1	27	28
2	38	28
3	45	28
4	54	28
5	74	28
6	123	28
7	265	28
8	788	28
9	4025	28

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

Outputs

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

derivations27.0ms (0.2%)

Memory

-32.4MiB live, 13.9MiB allocated; 2ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 30 to 19 computations (36.7% saved)

preprocess11.0ms (0.1%)

Memory: 20.1MiB live, 20.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 78 to 50 computations (35.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze346.0ms (3.1%)

sample8.5s (76%)

explain516.0ms (4.6%)

preprocess205.0ms (1.8%)

eval0.0ms (0%)

prune0.0ms (0%)

series6.0ms (0.1%)

rewrite246.0ms (2.2%)

eval7.0ms (0.1%)

prune12.0ms (0.1%)

series6.0ms (0.1%)

rewrite181.0ms (1.6%)

eval33.0ms (0.3%)

prune190.0ms (1.7%)

series105.0ms (0.9%)

rewrite224.0ms (2%)

eval33.0ms (0.3%)

prune99.0ms (0.9%)

series52.0ms (0.5%)

rewrite199.0ms (1.8%)

eval43.0ms (0.4%)

prune59.0ms (0.5%)

regimes4.0ms (0%)

simplify71.0ms (0.6%)

derivations27.0ms (0.2%)

preprocess11.0ms (0.1%)

end0.0ms (0%)

Profiling