Metrics for sintan (problem 3.4.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze401.0ms (2.9%)

Memory

12.5MiB live, 436.8MiB allocated

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)

sample10.4s (76.1%)

Memory

45.2MiB live, 8 479.1MiB allocated

Samples

8.0s	4 523×	2	valid
1.2s	1 160×	3	valid
667.0ms	2 451×	1	valid
12.0ms	122×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 9.4s

ival-tan: 5.4s (57.5% of total)

ival-sin: 2.8s (29.5% of total)

ival-sub: 376.0ms (4% of total)

adjust: 340.0ms (3.6% of total)

const: 258.0ms (2.8% of total)

ival-div: 162.0ms (1.7% of total)

ival-<=: 68.0ms (0.7% of total)

ival-and: 13.0ms (0.1% of total)

ival-assert: 4.0ms (0% of total)

Bogosity

explain541.0ms (4%)

Memory

2.3MiB live, 635.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
173	-	-	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
83	-	-	`(-.f64 eps (tan.f64 eps))`
83	-	-	`(-.f64 eps (sin.f64 eps))`
0	-	-	`(tan.f64 eps)`
0	-	-	`eps`
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	173	0
↳	`(-.f64 eps (sin.f64 eps))`	underflow	173
↳	`(-.f64 eps (tan.f64 eps))`	underflow	173
`-.f64`	`(-.f64 eps (sin.f64 eps))`	cancellation	83	0
`-.f64`	`(-.f64 eps (tan.f64 eps))`	cancellation	83	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	173
2	83

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

349.0ms	290×	2	valid
51.0ms	76×	3	valid
33.0ms	140×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 79 to 28 computations (64.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 403.0ms

ival-tan: 234.0ms (58% of total)

ival-sin: 95.0ms (23.6% of total)

ival-div: 37.0ms (9.2% of total)

adjust: 21.0ms (5.2% of total)

ival-sub: 16.0ms (4% of total)

ival-true: 1.0ms (0.2% of total)

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

preprocess46.0ms (0.3%)

Memory

16.2MiB live, 92.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	29	23
2	78	18
3	238	18
4	504	18
5	693	18
6	710	18
7	748	18
8	777	18
0	6	9
0	11	9
1	18	9
2	28	9
3	45	9
4	79	9
5	153	9
6	328	9
7	645	9
8	983	9
9	998	9
10	999	9
0	999	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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

Symmetry

(abs eps)

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.5%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify22.0ms (0.2%)

Memory

15.8MiB live, 15.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 eps (tan.f64 eps))
cost-diff	0	(sin.f64 eps)
cost-diff	0	(-.f64 eps (sin.f64 eps))
cost-diff	0	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	22
0	11	22
1	18	22
2	28	22
3	45	22
4	79	22
5	153	22
6	328	22
7	645	22
8	983	22
9	998	22
10	999	22
0	999	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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

localize244.0ms (1.8%)

Memory

-10.1MiB live, 184.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 eps)
accuracy	18.704932060559813	(-.f64 eps (sin.f64 eps))
accuracy	18.720036973221475	(-.f64 eps (tan.f64 eps))
accuracy	42.98273546339688	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Samples

194.0ms	145×	2	valid
23.0ms	38×	3	valid
17.0ms	70×	1	valid
0.0ms	3×	0	valid

Compiler

Compiled 46 to 14 computations (69.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 222.0ms

ival-tan: 114.0ms (51.5% of total)

ival-sin: 69.0ms (31.1% of total)

ival-div: 21.0ms (9.5% of total)

adjust: 10.0ms (4.5% of total)

ival-sub: 8.0ms (3.6% of total)

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

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

series4.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

4 → 28

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

eps

inf

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

1.0ms

eps

-inf

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

1.0ms

eps

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

simplify210.0ms (1.5%)

Memory

-10.3MiB live, 199.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	465
1	422	433
2	1323	408
3	5663	369
0	8263	341

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 27

Calls

Call 1

Inputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(* 1/6 (pow eps 3))
(* (pow eps 3) (+ 1/6 (* -1/120 (pow eps 2))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* 1/5040 (pow eps 2)) 1/120))))
(* (pow eps 3) (+ 1/6 (* (pow eps 2) (- (* (pow eps 2) (+ 1/5040 (* -1/362880 (pow eps 2)))) 1/120))))
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(* -1/3 (pow eps 3))
(* (pow eps 3) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 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)))))
(- (+ 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))))))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(sin eps)
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 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)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))

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

rewrite189.0ms (1.4%)

Memory

-12.0MiB live, 181.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
0	11	19
1	51	19
2	409	19
3	5978	19
0	8306	19

Stop Event

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

Counts

4 → 419

Calls

Call 1

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

Outputs
(.f64 (/.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (*.f64 eps eps)))
(.f64 (/.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (sin.f64 eps)))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps))) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 2 binary64)))) (-.f64 (.f64 eps eps) (.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps))))
(.f64 (/.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps))) (+.f64 (pow.f64 (.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) (-.f64 (.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps)) (*.f64 eps eps)) (pow.f64 eps #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (.f64 (+.f64 (tan.f64 eps) eps) (-.f64 (tan.f64 eps) eps))) (neg.f64 (+.f64 (tan.f64 eps) eps)))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))))
(.f64 (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 eps) eps)))
(.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (sin.f64 eps) eps)) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 eps (sin.f64 eps)) #s(literal 1 binary64)) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (sin.f64 eps) eps)))
(.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (-.f64 eps (tan.f64 eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))
(.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps)) #s(literal 1 binary64)))
(.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps)))
(.f64 (pow.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 eps (sin.f64 eps))))
(.f64 (pow.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) (-.f64 eps (sin.f64 eps))))
(.f64 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))) (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) #s(literal -2 binary64))) (pow.f64 (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (+.f64 (sin.f64 eps) eps)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (-.f64 (sin.f64 eps) eps))
(*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (-.f64 eps (sin.f64 eps)))
(.f64 (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) #s(literal -3 binary64))) (pow.f64 (fma.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (+.f64 (sin.f64 eps) eps)) (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (fma.f64 (-.f64 eps (tan.f64 eps)) eps (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))))
(.f64 (+.f64 (sin.f64 eps) eps) (/.f64 (-.f64 eps (sin.f64 eps)) (.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps)))))
(.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (+.f64 (sin.f64 eps) eps)))
(.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (-.f64 eps (tan.f64 eps))))
(.f64 (+.f64 (tan.f64 eps) eps) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps)))
(.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (/.f64 (-.f64 eps (sin.f64 eps)) (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (-.f64 eps (tan.f64 eps)))))
(.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))))
(.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (pow.f64 (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (-.f64 eps (tan.f64 eps))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) #s(literal -1 binary64)) (-.f64 eps (tan.f64 eps))))
(.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps)) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))
(*.f64 (-.f64 (sin.f64 eps) eps) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) #s(literal 1 binary64))
(*.f64 (-.f64 eps (sin.f64 eps)) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)))
(pow.f64 (*.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 (sin.f64 eps) eps) (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (-.f64 eps (tan.f64 eps)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (+.f64 (sin.f64 eps) eps)) (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (*.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) (+.f64 (sin.f64 eps) eps)) (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)) #s(literal -3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)) (fma.f64 (-.f64 eps (tan.f64 eps)) eps (*.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) #s(literal 1 binary64))
(/.f64 (/.f64 (fma.f64 (-.f64 eps (tan.f64 eps)) eps (*.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps))) (-.f64 eps (tan.f64 eps))) (-.f64 eps (tan.f64 eps)))
(/.f64 (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (sin.f64 eps) eps))
(/.f64 (pow.f64 (/.f64 (-.f64 eps (tan.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) #s(literal -1 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))
(/.f64 (/.f64 (-.f64 (sin.f64 eps) eps) #s(literal -1 binary64)) (-.f64 eps (tan.f64 eps)))
(/.f64 (.f64 (.f64 (+.f64 (sin.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) (+.f64 (sin.f64 eps) eps))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)))
(/.f64 (.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) (neg.f64 (+.f64 (sin.f64 eps) eps)))
(/.f64 (.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))) (neg.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))))
(/.f64 (.f64 (.f64 (+.f64 (sin.f64 eps) eps) (-.f64 (sin.f64 eps) eps)) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64))) (neg.f64 (+.f64 (sin.f64 eps) eps)))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))))
(/.f64 (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (*.f64 eps eps)))
(/.f64 (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (tan.f64 eps)))
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(/.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))) (.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (tan.f64 eps) #s(literal 4 binary64))) (*.f64 (+.f64 (tan.f64 eps) eps) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 (tan.f64 eps) #s(literal 9 binary64))) (.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps)) (+.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (pow.f64 (*.f64 (tan.f64 eps) eps) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (*.f64 (+.f64 (tan.f64 eps) eps) (fma.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))))
(/.f64 (.f64 (+.f64 (tan.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) (.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (tan.f64 eps) eps))))
(/.f64 (*.f64 (+.f64 (tan.f64 eps) eps) (-.f64 (tan.f64 eps) eps)) (neg.f64 (+.f64 (tan.f64 eps) eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (+.f64 (tan.f64 eps) eps)))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (neg.f64 (neg.f64 (+.f64 (tan.f64 eps) eps))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 (tan.f64 eps) (tan.f64 eps) (-.f64 (.f64 eps eps) (.f64 (neg.f64 (tan.f64 eps)) eps))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))
(/.f64 (-.f64 (tan.f64 eps) eps) #s(literal -1 binary64))
(/.f64 (-.f64 eps (tan.f64 eps)) #s(literal 1 binary64))
(neg.f64 (-.f64 (tan.f64 eps) eps))
(fma.f64 (/.f64 (.f64 eps eps) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (.f64 eps eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))
(fma.f64 (/.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (tan.f64 eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 2 binary64)))) (-.f64 (.f64 eps eps) (.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps)))))
(fma.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (-.f64 (.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) (.f64 eps eps)) (pow.f64 eps #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))))
(fma.f64 (pow.f64 eps #s(literal 3/2 binary64)) (/.f64 (pow.f64 eps #s(literal 3/2 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps)))))
(fma.f64 #s(literal -1 binary64) (tan.f64 eps) eps)
(fma.f64 (neg.f64 (sin.f64 eps)) (pow.f64 (cos.f64 eps) #s(literal -1 binary64)) eps)
(fma.f64 (.f64 eps eps) (/.f64 eps (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))))
(fma.f64 (*.f64 eps eps) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps)))))
(fma.f64 (tan.f64 eps) #s(literal -1 binary64) eps)
(fma.f64 (sin.f64 eps) (neg.f64 (pow.f64 (cos.f64 eps) #s(literal -1 binary64))) eps)
(fma.f64 (sin.f64 eps) (pow.f64 (neg.f64 (cos.f64 eps)) #s(literal -1 binary64)) eps)
(fma.f64 eps (/.f64 (.f64 eps eps) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps)))))
(fma.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps)) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))
(-.f64 (+.f64 eps #s(literal 0 binary64)) (tan.f64 eps))
(-.f64 (/.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))) #s(literal 1 binary64)))
(-.f64 (/.f64 eps #s(literal 1 binary64)) (/.f64 (tan.f64 eps) #s(literal 1 binary64)))
(-.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)))
(-.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))) (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))))
(-.f64 #s(literal 0 binary64) (-.f64 (tan.f64 eps) eps))
(-.f64 eps (tan.f64 eps))
(+.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (tan.f64 eps)))
(+.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps))))
(+.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))) (neg.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps)))))
(+.f64 (neg.f64 (tan.f64 eps)) eps)
(+.f64 eps (neg.f64 (tan.f64 eps)))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 eps (tan.f64 eps))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal -1 binary64))) #s(literal -1 binary64)))

eval36.0ms (0.3%)

Memory: 19.7MiB live, 56.0MiB allocated
Compiler: Compiled 11 420 to 1 220 computations (89.3% saved)

prune28.0ms (0.2%)

Memory

-15.6MiB live, 23.0MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	439	3	442
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	440	3	443

Accuracy

100.0%

Counts

443 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
▶	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
▶	99.5%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Status

Accuracy

Program

▶

100.0%

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

▶

100.0%

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

▶

99.5%

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

Compiler

Compiled 48 to 32 computations (33.3% saved)

simplify75.0ms (0.6%)

Memory

26.4MiB live, 71.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	85
0	23	85
1	42	85
2	67	85
3	115	85
4	176	85
5	317	85
6	568	85
7	999	85
8	2044	85
9	2307	85
10	2452	85
11	2485	85
12	2523	85
13	2551	85
14	2555	85
0	2555	85

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize476.0ms (3.5%)

Memory

-16.3MiB live, 462.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
accuracy	0.0	(*.f64 eps eps)
accuracy	0.0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
accuracy	0.00390625	(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
accuracy	0.0	(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
accuracy	0.0	(*.f64 eps eps)
accuracy	0.01857377930532605	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
accuracy	0.34966614747562674	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Samples

355.0ms	145×	2	valid
73.0ms	38×	3	valid
27.0ms	70×	1	valid
1.0ms	3×	0	valid

Compiler

Compiled 155 to 34 computations (78.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 405.0ms

ival-tan: 259.0ms (63.9% of total)

ival-sin: 84.0ms (20.7% of total)

adjust: 19.0ms (4.7% of total)

const: 14.0ms (3.5% of total)

ival-mult: 9.0ms (2.2% of total)

ival-sub: 8.0ms (2% of total)

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

ival-div: 5.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

7 → 21

Calls

Call 1

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

Outputs
-1/2
(- (* 9/40 (pow eps 2)) 1/2)
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(pow eps 2)
9/40
(+ 9/40 (* -27/2800 (pow eps 2)))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 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)))))
(- (+ 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))))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (pow (cos eps) 2)))) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (cos eps))) eps))) (/ (sin eps) (cos eps))) eps)))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

eps

inf

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

1.0ms

eps

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

1.0ms

eps

-inf

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

simplify209.0ms (1.5%)

Memory

42.5MiB live, 220.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	324
1	273	305
2	870	280
3	3737	259
0	8472	247

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 21

Calls

Call 1

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

rewrite167.0ms (1.2%)

Memory

-30.0MiB live, 132.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	74
0	23	74
1	114	74
2	865	74
0	8358	74

Stop Event

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

Counts

7 → 165

Calls

Call 1

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

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 9/40 binary64) (.f64 eps eps)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9/40 binary64) (.f64 eps eps) #s(literal -1/2 binary64))))
(.f64 (neg.f64 (fma.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -9/80 binary64) (*.f64 eps eps)))))))
(.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal -1/2 binary64)))
(.f64 (fma.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64) (.f64 (*.f64 eps eps) #s(literal 9/80 binary64))))))
(.f64 (fma.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64) #s(literal -1/8 binary64)) (pow.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -9/80 binary64) (*.f64 eps eps)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)) (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)) (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64)))) (.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -9/40 binary64) (.f64 eps eps) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -9/40 binary64) (.f64 eps eps) #s(literal -1/2 binary64))))) (+.f64 (/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)) (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)) (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -9/40 binary64) (.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)) (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)) (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -9/40 binary64) (.f64 eps eps) #s(literal -1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -9/40 binary64) (.f64 eps eps) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)) (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 9/40 binary64) (*.f64 eps eps)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 #s(literal -9/40 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -9/80 binary64) (.f64 eps eps)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 4 binary64)) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64) #s(literal 1/4 binary64)) (fma.f64 #s(literal 9/40 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 531441/4096000000 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/6400 binary64))) (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 531441/4096000000 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -9/80 binary64) (.f64 eps eps))))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 387420489/262144000000000 binary64) #s(literal -1/512 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 531441/4096000000 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -729/512000 binary64)))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -9/80 binary64) (*.f64 eps eps))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)) (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64))) (.f64 (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64))) (-.f64 #s(literal -1/2 binary64) (.f64 #s(literal 9/40 binary64) (*.f64 eps eps))))
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(/.f64 (neg.f64 (-.f64 #s(literal 81/1600 binary64) (.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 9/40 binary64) (.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -81/1600 binary64)))) (neg.f64 (fma.f64 #s(literal 27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -19683/21952000000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 81/1600 binary64) (.f64 #s(literal -243/112000 binary64) (.f64 eps eps)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -27/2800 binary64) (.f64 eps eps)) #s(literal 4 binary64)) #s(literal 6561/2560000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal 81/1600 binary64)) (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal -9/40 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 387420489/481890304000000000000 binary64) (pow.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -531441/4096000000 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (.f64 #s(literal -27/2800 binary64) (.f64 eps eps)) #s(literal 4 binary64)) #s(literal 6561/2560000 binary64)) (.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 59049/12544000000 binary64))) (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal -9/40 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 387420489/481890304000000000000 binary64) (pow.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -531441/4096000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -19683/21952000000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal -729/64000 binary64)) (fma.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 81/1600 binary64) (.f64 #s(literal -243/112000 binary64) (.f64 eps eps))))))
(/.f64 (.f64 (fma.f64 #s(literal -7625597484987/10578455953408000000000000000000 binary64) (pow.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 387420489/262144000000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 387420489/481890304000000000000 binary64) (pow.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 531441/4096000000 binary64) (.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -14348907/1404928000000000 binary64)))) (fma.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 81/1600 binary64) (.f64 #s(literal -243/112000 binary64) (*.f64 eps eps))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal -9/40 binary64))) (.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal -9/40 binary64)) #s(literal 81/1600 binary64))) (.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal -9/40 binary64)) (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal -9/40 binary64))))
(/.f64 (-.f64 #s(literal 81/1600 binary64) (.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)))) (-.f64 #s(literal 9/40 binary64) (.f64 #s(literal -27/2800 binary64) (*.f64 eps eps))))
(/.f64 (neg.f64 (fma.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -81/1600 binary64))) (fma.f64 #s(literal 27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -19683/21952000000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64))) (neg.f64 (+.f64 #s(literal 81/1600 binary64) (fma.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)) (.f64 (.f64 eps eps) #s(literal 243/112000 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -19683/21952000000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64))) (neg.f64 (fma.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 81/1600 binary64) (.f64 #s(literal -243/112000 binary64) (.f64 eps eps))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)))))
(/.f64 (fma.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -81/1600 binary64)) (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal -9/40 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 9/40 binary64) (.f64 #s(literal -27/2800 binary64) (.f64 eps eps))) (-.f64 #s(literal 81/1600 binary64) (*.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 81/1600 binary64) (fma.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)) (.f64 (.f64 eps eps) #s(literal 243/112000 binary64)))) (fma.f64 #s(literal -19683/21952000000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))))
(/.f64 (fma.f64 #s(literal -19683/21952000000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64)) (+.f64 #s(literal 81/1600 binary64) (fma.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)) (.f64 (.f64 eps eps) #s(literal 243/112000 binary64)))))
(/.f64 (fma.f64 #s(literal -19683/21952000000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64)) (fma.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 81/1600 binary64) (.f64 #s(literal -243/112000 binary64) (.f64 eps eps)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -81/1600 binary64))) (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal -9/40 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -19683/21952000000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64))) (fma.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 81/1600 binary64) (.f64 #s(literal -243/112000 binary64) (.f64 eps eps))))))
(neg.f64 (/.f64 (fma.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)) #s(literal -81/1600 binary64)) (fma.f64 #s(literal 27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal -19683/21952000000 binary64) (pow.f64 eps #s(literal 6 binary64)) #s(literal 729/64000 binary64)) (neg.f64 (fma.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 81/1600 binary64) (.f64 #s(literal -243/112000 binary64) (.f64 eps eps)))))))
(fma.f64 (*.f64 #s(literal -27/2800 binary64) eps) eps #s(literal 9/40 binary64))
(fma.f64 (.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal -9/40 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -81/1600 binary64) (fma.f64 #s(literal 27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)))))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64))
(fma.f64 eps (*.f64 #s(literal -27/2800 binary64) eps) #s(literal 9/40 binary64))
(-.f64 (/.f64 #s(literal 81/1600 binary64) (-.f64 #s(literal 9/40 binary64) (.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))) (/.f64 (.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64))) (-.f64 #s(literal 9/40 binary64) (.f64 #s(literal -27/2800 binary64) (*.f64 eps eps)))))
(-.f64 (/.f64 (.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal -9/40 binary64))) (/.f64 #s(literal -81/1600 binary64) (fma.f64 #s(literal 27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 729/7840000 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal -9/40 binary64))) (neg.f64 (/.f64 #s(literal -81/1600 binary64) (fma.f64 #s(literal 27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)))))
(+.f64 (.f64 #s(literal -27/2800 binary64) (.f64 eps eps)) #s(literal 9/40 binary64))
(+.f64 #s(literal 9/40 binary64) (.f64 #s(literal -27/2800 binary64) (.f64 eps eps)))

eval34.0ms (0.2%)

Memory: 20.6MiB live, 55.9MiB allocated
Compiler: Compiled 6 566 to 785 computations (88% saved)

prune50.0ms (0.4%)

Memory

-21.1MiB live, 16.0MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	196	3	199

Accuracy

100.0%

Counts

199 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

✓

100.0%

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

✓

99.5%

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

Compiler

Compiled 105 to 53 computations (49.5% saved)

regimes4.0ms (0%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	eps
1.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

Accuracy	Segments	Branch
100.0%	1	`eps`
100.0%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`eps`
100.0%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.5%	1	`eps`
99.5%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify138.0ms (1%)

Memory

-46.6MiB live, 68.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	48
1	23	48
2	33	48
3	50	48
4	88	48
5	171	48
6	427	48
7	1539	48
8	5554	48

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

soundness315.0ms (2.3%)

Memory

27.1MiB live, 205.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	465
1	422	433
2	1323	408
3	5663	369
0	8263	341

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 66 to 30 computations (54.5% saved)

preprocess57.0ms (0.4%)

Memory: 6.0MiB live, 98.1MiB allocated
Remove: (abs eps)
Compiler: Compiled 170 to 82 computations (51.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	27
1	29	23
2	78	18
3	238	18
4	504	18
5	693	18
6	710	18
7	748	18
8	777	18
0	6	9
0	11	9
1	18	9
2	28	9
3	45	9
4	79	9
5	153	9
6	328	9
7	645	9
8	983	9
9	998	9
10	999	9
0	999	9

Iter	Nodes	Cost
0	6	22
0	11	22
1	18	22
2	28	22
3	45	22
4	79	22
5	153	22
6	328	22
7	645	22
8	983	22
9	998	22
10	999	22
0	999	22

Iter	Nodes	Cost
0	8	27
1	29	23
2	78	18
3	238	18
4	504	18
5	693	18
6	710	18
7	748	18
8	777	18
0	6	9
0	11	9
1	18	9
2	28	9
3	45	9
4	79	9
5	153	9
6	328	9
7	645	9
8	983	9
9	998	9
10	999	9
0	999	9

Iter	Nodes	Cost
0	6	22
0	11	22
1	18	22
2	28	22
3	45	22
4	79	22
5	153	22
6	328	22
7	645	22
8	983	22
9	998	22
10	999	22
0	999	22

start0.0ms (0%)

analyze401.0ms (2.9%)

sample10.4s (76.1%)

explain541.0ms (4%)

preprocess46.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify22.0ms (0.2%)

localize244.0ms (1.8%)

series4.0ms (0%)

simplify210.0ms (1.5%)

rewrite189.0ms (1.4%)

eval36.0ms (0.3%)

prune28.0ms (0.2%)

simplify75.0ms (0.6%)

localize476.0ms (3.5%)

series4.0ms (0%)

simplify209.0ms (1.5%)

rewrite167.0ms (1.2%)

eval34.0ms (0.2%)

prune50.0ms (0.4%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify138.0ms (1%)

soundness315.0ms (2.3%)

preprocess57.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	27
1	29	23
2	78	18
3	238	18
4	504	18
5	693	18
6	710	18
7	748	18
8	777	18
0	6	9
0	11	9
1	18	9
2	28	9
3	45	9
4	79	9
5	153	9
6	328	9
7	645	9
8	983	9
9	998	9
10	999	9
0	999	9

Iter	Nodes	Cost
0	6	22
0	11	22
1	18	22
2	28	22
3	45	22
4	79	22
5	153	22
6	328	22
7	645	22
8	983	22
9	998	22
10	999	22
0	999	22