Metrics for sintan (problem 3.4.5)

start0.0ms (0%)

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

analyze655.0ms (4%)

Memory

22.0MiB live, 435.7MiB allocated; 718ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample9.7s (58.7%)

Memory

99.7MiB live, 9 012.4MiB allocated; 1.6s collecting garbage

Samples

6.6s	4 526×	2	valid
1.9s	1 344×	3	valid
652.0ms	2 339×	1	valid
5.0ms	47×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.8s

ival-tan: 4.8s (54.8% of total)

ival-sin: 2.4s (27.5% of total)

adjust: 599.0ms (6.8% of total)

const: 394.0ms (4.5% of total)

ival-sub: 387.0ms (4.4% of total)

ival-div: 106.0ms (1.2% of total)

ival-<=: 48.0ms (0.5% of total)

ival-and: 12.0ms (0.1% of total)

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

Bogosity

explain685.0ms (4.2%)

Memory

-4.4MiB live, 676.1MiB allocated; 157ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
178	0	-	1	(5.181100816981335e-108)	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
78	1	(5.181100816981335e-108)	0	-	`(-.f64 eps (tan.f64 eps))`
78	1	(5.181100816981335e-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	177	0
↳	`(-.f64 eps (sin.f64 eps))`	underflow	177
↳	`(-.f64 eps (tan.f64 eps))`	underflow	177
`-.f64`	`(-.f64 eps (sin.f64 eps))`	cancellation	79	0
`-.f64`	`(-.f64 eps (tan.f64 eps))`	cancellation	79	0

Confusion

	Predicted +	Predicted -
+	255	0
-	1	0

Precision

0.99609375

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	255	0	0
-	1	0	0

Precision?

0.99609375

Recall?

1.0

Freqs

test

number	freq
1	177
2	79

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

476.0ms	294×	2	valid
108.0ms	88×	3	valid
25.0ms	128×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 57 to 22 computations (61.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 584.0ms

ival-tan: 366.0ms (62.6% of total)

ival-sin: 162.0ms (27.7% of total)

adjust: 36.0ms (6.2% of total)

ival-sub: 14.0ms (2.4% of total)

ival-div: 6.0ms (1% of total)

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

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

preprocess314.0ms (1.9%)

Memory

13.5MiB live, 205.0MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	22	27
2	39	27
3	62	27
4	102	27
5	199	27
6	421	27
7	1106	27
8	3013	27
0	6	9
0	11	9
1	17	9
2	20	9
3	25	9
4	34	9
5	56	9
6	96	9
7	195	9
8	466	9
9	800	9
10	1477	9
11	2569	9
12	3078	9
13	3457	9
14	3742	9
15	3869	9
16	3896	9
17	3899	9
18	3902	9
19	3914	9
20	3917	9
21	3920	9
22	3923	9
23	3926	9
24	3929	9
25	3932	9
26	3935	9
27	7533	9
0	8078	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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.4%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify280.0ms (1.7%)

Memory

4.3MiB live, 221.7MiB allocated; 50ms collecting garbage

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	17	22
2	20	22
3	25	22
4	34	22
5	56	22
6	96	22
7	195	22
8	466	22
9	800	22
10	1477	22
11	2569	22
12	3078	22
13	3457	22
14	3742	22
15	3869	22
16	3896	22
17	3899	22
18	3902	22
19	3914	22
20	3917	22
21	3920	22
22	3923	22
23	3926	22
24	3929	22
25	3932	22
26	3935	22
27	7533	22
0	8078	22

Stop Event

1×	iter limit
1×	node limit
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 eps (sin.f64 eps))
eps
(sin.f64 eps)
(-.f64 eps (tan.f64 eps))
(tan.f64 eps)

localize337.0ms (2%)

Memory

21.6MiB live, 511.7MiB allocated; 71ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 eps)
accuracy	17.599851026175546	(-.f64 eps (tan.f64 eps))
accuracy	17.62803692909956	(-.f64 eps (sin.f64 eps))
accuracy	44.16078337088064	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Samples

226.0ms	147×	2	valid
90.0ms	44×	3	valid
11.0ms	64×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 315.0ms

ival-tan: 186.0ms (59.1% of total)

ival-sin: 102.0ms (32.4% of total)

adjust: 17.0ms (5.4% of total)

ival-sub: 7.0ms (2.2% of total)

ival-div: 3.0ms (1% of total)

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

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

series4.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

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)))

simplify204.0ms (1.2%)

Memory

-16.6MiB live, 126.3MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	475
1	428	433
2	1443	405
3	7531	405
0	8354	389

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)
(-.f64 (.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 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #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 (-.f64 (.f64 #s(literal 1/5040 binary64) (.f64 eps eps)) #s(literal 1/120 binary64)) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (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 (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/362880 binary64) (-.f64 (.f64 #s(literal 1/5040 binary64) (.f64 eps eps)) #s(literal 1/120 binary64))) (.f64 eps eps) #s(literal 1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
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 (-.f64 (.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 (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (.f64 #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 (-.f64 (.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 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -17/315 binary64) (*.f64 eps eps)) #s(literal 2/15 binary64)) 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 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -62/2835 binary64) (.f64 eps eps)) #s(literal 17/315 binary64)) 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)))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (sin.f64 eps)) 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))))))
(fma.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (sin.f64 eps)) eps)))
(* eps (+ 1 (* -1 (/ (sin eps) eps))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 eps) eps)) eps)
(sin eps)
(sin.f64 eps)
(* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(fma.f64 (/.f64 eps (cos.f64 eps)) (/.f64 (sin.f64 eps) (neg.f64 eps)) 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)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (sin.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)))
(fma.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64))) (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64)) (sin.f64 eps)) eps)))
(* -1 (* eps (- (/ (sin eps) eps) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)))
(* -1 (* eps (- (/ (sin eps) (* eps (cos eps))) 1)))
(*.f64 (neg.f64 eps) (-.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) #s(literal 1 binary64)))

rewrite231.0ms (1.4%)

Memory

-16.8MiB live, 118.8MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
0	11	19
1	45	19
2	334	19
3	3817	19
0	8508	19

Stop Event

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

Counts

4 → 172

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 eps (sin.f64 eps)) (neg.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (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 (/.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 eps) eps)))
(.f64 (/.f64 (neg.f64 (-.f64 eps (sin.f64 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 (+.f64 (sin.f64 eps) eps) (+.f64 (sin.f64 eps) eps)) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))
(.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps))))
(.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)))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps 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 (tan.f64 eps) eps) (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(.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 (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 (-.f64 (.f64 (-.f64 eps (tan.f64 eps)) eps) (.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (-.f64 eps (tan.f64 eps))) (-.f64 eps (tan.f64 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 (tan.f64 eps) #s(literal 3 binary64)) (pow.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)))
(/.f64 (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.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))))
(/.f64 (.f64 (/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.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))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))) (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (-.f64 eps (tan.f64 eps)) eps) (.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps)))) (neg.f64 (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (.f64 eps eps))))
(/.f64 (.f64 (-.f64 eps (sin.f64 eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (-.f64 eps (tan.f64 eps))))
(/.f64 (.f64 (-.f64 eps (sin.f64 eps)) (-.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 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 binary64))) (-.f64 (.f64 eps eps) (*.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)))))
(/.f64 (.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (pow.f64 (.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)))) (.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 3 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)))))
(/.f64 (.f64 (-.f64 eps (sin.f64 eps)) (+.f64 (tan.f64 eps) eps)) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 eps (sin.f64 eps)) (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 (neg.f64 eps) (neg.f64 (-.f64 eps (tan.f64 eps)))) (.f64 (neg.f64 (-.f64 eps (tan.f64 eps))) (neg.f64 (sin.f64 eps)))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 eps) (-.f64 eps (tan.f64 eps))) (.f64 (neg.f64 (-.f64 eps (tan.f64 eps))) (sin.f64 eps))) (*.f64 (neg.f64 (-.f64 eps (tan.f64 eps))) (-.f64 eps (tan.f64 eps))))
(/.f64 (-.f64 (.f64 eps (neg.f64 (-.f64 eps (tan.f64 eps)))) (.f64 (-.f64 eps (tan.f64 eps)) (neg.f64 (sin.f64 eps)))) (*.f64 (-.f64 eps (tan.f64 eps)) (neg.f64 (-.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 (neg.f64 eps) (neg.f64 (sin.f64 eps))) (neg.f64 (-.f64 eps (tan.f64 eps))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sin.f64 eps) #s(literal 4 binary64))) (.f64 (fma.f64 eps eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64))) (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (.f64 (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))) (.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (.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 9 binary64)) (pow.f64 (sin.f64 eps) #s(literal 9 binary64))) (.f64 (+.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64)))) (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (-.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) #s(literal 3 binary64))) (fma.f64 (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))) (/.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps))) (pow.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (.f64 (+.f64 (sin.f64 eps) eps) (neg.f64 (-.f64 eps (tan.f64 eps)))))
(/.f64 (neg.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (.f64 (neg.f64 (+.f64 (sin.f64 eps) eps)) (-.f64 eps (tan.f64 eps))))
(/.f64 (neg.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (neg.f64 (.f64 (+.f64 (sin.f64 eps) eps) (-.f64 eps (tan.f64 eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (neg.f64 (-.f64 eps (tan.f64 eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (.f64 (neg.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (-.f64 eps (tan.f64 eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (neg.f64 (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (-.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 (.f64 (-.f64 eps (tan.f64 eps)) eps) (.f64 (-.f64 eps (tan.f64 eps)) (sin.f64 eps))) (pow.f64 (-.f64 eps (tan.f64 eps)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (.f64 (neg.f64 (+.f64 (sin.f64 eps) eps)) (neg.f64 (-.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (.f64 (+.f64 (sin.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 (neg.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (neg.f64 (-.f64 eps (tan.f64 eps)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps 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)))
(neg.f64 (/.f64 (neg.f64 (-.f64 eps (sin.f64 eps))) (-.f64 eps (tan.f64 eps))))
(fma.f64 (/.f64 (neg.f64 eps) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 eps) eps)) (.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 (/.f64 (neg.f64 eps) (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (tan.f64 eps) eps)) (.f64 (neg.f64 (/.f64 (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))))
(fma.f64 (/.f64 (neg.f64 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 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 (/.f64 (neg.f64 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 (neg.f64 (/.f64 (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))))
(fma.f64 (/.f64 eps (neg.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (neg.f64 (+.f64 (tan.f64 eps) eps)) (.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 (/.f64 eps (neg.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (neg.f64 (+.f64 (tan.f64 eps) eps)) (.f64 (neg.f64 (/.f64 (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))))
(fma.f64 (/.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 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 (/.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 (neg.f64 (/.f64 (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))))
(fma.f64 (/.f64 eps (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (+.f64 (tan.f64 eps) eps) (.f64 (neg.f64 (/.f64 (sin.f64 eps) (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps)))
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(/.f64 (-.f64 (pow.f64 eps #s(literal 4 binary64)) (pow.f64 (sin.f64 eps) #s(literal 4 binary64))) (*.f64 (fma.f64 eps eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (*.f64 (fma.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (fma.f64 eps eps (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 4 binary64))) (+.f64 (sin.f64 eps) eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 (sin.f64 eps) #s(literal 9 binary64))) (.f64 (+.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 (sin.f64 eps) eps) #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 6 binary64)))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (sin.f64 eps) eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (neg.f64 (neg.f64 (+.f64 (sin.f64 eps) eps))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))) (neg.f64 (neg.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))) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)))
(neg.f64 (neg.f64 (-.f64 eps (sin.f64 eps))))
(fma.f64 (/.f64 (.f64 eps eps) (+.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (sin.f64 eps) (-.f64 (sin.f64 eps) eps) (.f64 eps eps)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps)))
(fma.f64 (/.f64 (.f64 eps eps) (-.f64 (.f64 eps eps) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (-.f64 eps (sin.f64 eps)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps)))
(fma.f64 (fabs.f64 eps) (/.f64 (fabs.f64 eps) (+.f64 (sin.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps)))
(fma.f64 (neg.f64 eps) (/.f64 (neg.f64 eps) (+.f64 (sin.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps)))
(fma.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps)))
(-.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (+.f64 (sin.f64 eps) eps)))
(-.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))))
(-.f64 eps (sin.f64 eps))
(+.f64 (*.f64 eps (/.f64 eps (+.f64 (sin.f64 eps) eps))) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (sin.f64 eps) eps)))
(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 (/.f64 (-.f64 (.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (*.f64 eps eps)))
(.f64 (/.f64 (-.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)))
(.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.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))))
(.f64 (/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (tan.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))))
(*.f64 (+.f64 (tan.f64 eps) eps) (/.f64 (-.f64 eps (tan.f64 eps)) (+.f64 (tan.f64 eps) eps)))
(.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps)) (/.f64 (-.f64 eps (tan.f64 eps)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 eps eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #s(literal 2 binary64))) (fma.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 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))) #s(literal 2 binary64)) (pow.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 2 binary64))) (+.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 (-.f64 (pow.f64 (.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (+.f64 (tan.f64 eps) eps)) #s(literal 2 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 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))) #s(literal 3 binary64)) (pow.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 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))) #s(literal 2 binary64)) (+.f64 (pow.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 2 binary64)) (.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 (neg.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (tan.f64 eps) eps))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))) (+.f64 (tan.f64 eps) eps))
(/.f64 (neg.f64 (neg.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 (neg.f64 (neg.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 (.f64 (.f64 eps eps) (+.f64 (tan.f64 eps) eps)) (*.f64 (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal 2 binary64)))
(/.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 (fma.f64 eps eps (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 9 binary64)) (pow.f64 (tan.f64 eps) #s(literal 9 binary64))) (.f64 (+.f64 (pow.f64 eps #s(literal 6 binary64)) (+.f64 (pow.f64 (.f64 (tan.f64 eps) eps) #s(literal 3 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64)))) (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))) (*.f64 (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 (tan.f64 eps) eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 6 binary64)) (pow.f64 (tan.f64 eps) #s(literal 6 binary64))) (.f64 (+.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (.f64 eps eps))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))) (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)))) (neg.f64 (fma.f64 (+.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.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 (-.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)))
(neg.f64 (neg.f64 (-.f64 eps (tan.f64 eps))))
(fma.f64 (/.f64 (.f64 eps eps) (+.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (.f64 eps eps)) (/.f64 (neg.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)) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 (fabs.f64 eps) (/.f64 (fabs.f64 eps) (+.f64 (tan.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 (neg.f64 eps) (/.f64 (neg.f64 eps) (+.f64 (tan.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(fma.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps)) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(-.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 eps (tan.f64 eps))
(+.f64 (*.f64 eps (/.f64 eps (+.f64 (tan.f64 eps) eps))) (/.f64 (neg.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))

eval14.0ms (0.1%)

Memory: 20.2MiB live, 20.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 5 951 to 686 computations (88.5% saved)

prune5.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	192	4	196
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	193	4	197

Accuracy

100.0%

Counts

197 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
▶	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
▶	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
▶	99.4%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 78 to 55 computations (29.5% saved)

simplify229.0ms (1.4%)

Memory

-36.1MiB live, 125.2MiB allocated; 18ms collecting garbage

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64))
cost-diff	0	(pow.f64 eps #s(literal 4 binary64))
cost-diff	0	(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (.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 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
cost-diff	0	(-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
cost-diff	0	(pow.f64 eps #s(literal 4 binary64))
cost-diff	0	(fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (.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 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
cost-diff	0	(-.f64 (.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))) (-.f64 (.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	25	186
0	35	186
1	59	186
2	126	186
3	263	186
4	416	186
5	492	186
6	572	186
7	797	186
8	1448	186
9	2684	186
10	5661	186
11	7924	186
0	8060	186

Stop Event

1×	iter limit
1×	node limit
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))) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
(*.f64 eps eps)
eps
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(pow.f64 eps #s(literal 4 binary64))
eps
#s(literal 4 binary64)
#s(literal -27/2800 binary64)
(-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
(*.f64 eps eps)
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(pow.f64 eps #s(literal 4 binary64))
eps
#s(literal 4 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)
#s(literal 27/2800 binary64)
(-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
#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))) (-.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 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))
(-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(-.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))
(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(*.f64 eps eps)
eps
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))
(pow.f64 eps #s(literal 4 binary64))
eps
#s(literal 4 binary64)
#s(literal -27/2800 binary64)
(-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(-.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))
(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(*.f64 eps eps)
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))
(pow.f64 eps #s(literal 4 binary64))
eps
#s(literal 4 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)
#s(literal 27/2800 binary64)
(-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
(-.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))
(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
#s(literal 9/40 binary64)
#s(literal 1/2 binary64)

localize494.0ms (3%)

Memory

12.6MiB live, 568.2MiB allocated; 103ms collecting garbage

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
accuracy	0.0078125	(-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64))
accuracy	0.109375	(.f64 #s(literal 27/112000 binary64) (.f64 eps eps))
accuracy	0.140625	(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
accuracy	0.0	(-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 eps eps)
accuracy	0.04584366812348986	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
accuracy	0.140625	(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
accuracy	0.0	(-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 eps eps)
accuracy	0.12499062849613748	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
accuracy	0.140625	(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
accuracy	0.3705102966710352	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Samples

329.0ms	147×	2	valid
92.0ms	44×	3	valid
51.0ms	64×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 148 to 25 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 414.0ms

ival-tan: 200.0ms (48.3% of total)

ival-sin: 66.0ms (15.9% of total)

adjust: 53.0ms (12.8% of total)

ival-sub: 31.0ms (7.5% of total)

ival-pow: 26.0ms (6.3% of total)

const: 21.0ms (5.1% of total)

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

ival-add: 4.0ms (1% of total)

ival-div: 3.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0%)

Memory

9.6MiB live, 9.5MiB allocated; 0ms collecting garbage

Counts

12 → 26

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

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)
(* 9/40 (pow eps 2))
(pow eps 2)
(pow eps 4)
-27/2800
(- (* 27/112000 (pow eps 2)) 27/2800)
(* 27/112000 (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))))))
(* (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)))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(+ 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
2.0ms	eps	@	inf	((/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (* eps eps) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (pow eps 4) -27/2800) (- (* (* eps eps) 9/40) 1/2)) (pow eps 4) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (pow eps 4) (- (* 27/112000 (* eps eps)) 27/2800)) (- (* (* eps eps) 9/40) 1/2)) (- (* 27/112000 (* eps eps)) 27/2800) (* 27/112000 (* eps eps)))
2.0ms	eps	@	-inf	((/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (* eps eps) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (pow eps 4) -27/2800) (- (* (* eps eps) 9/40) 1/2)) (pow eps 4) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (pow eps 4) (- (* 27/112000 (* eps eps)) 27/2800)) (- (* (* eps eps) 9/40) 1/2)) (- (* 27/112000 (* eps eps)) 27/2800) (* 27/112000 (* eps eps)))
2.0ms	eps	@	0	((/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (- (* (* eps eps) 9/40) 1/2) (* (* eps eps) 9/40) (* eps eps) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (pow eps 4) -27/2800) (- (* (* eps eps) 9/40) 1/2)) (pow eps 4) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (pow eps 4) (- (* 27/112000 (* eps eps)) 27/2800)) (- (* (* eps eps) 9/40) 1/2)) (- (* 27/112000 (* eps eps)) 27/2800) (* 27/112000 (* eps eps)))

Time

Variable

Point

Expression

2.0ms

eps

inf

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

2.0ms

eps

-inf

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

2.0ms

eps

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

simplify194.0ms (1.2%)

Memory

2.1MiB live, 142.3MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	408
1	310	374
2	997	346
3	5239	346
0	8473	338

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 26

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

rewrite491.0ms (3%)

Memory

-65.3MiB live, 237.5MiB allocated; 694ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	138
0	35	138
1	143	138
2	1074	138
0	8423	138

Stop Event

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

Counts

12 → 228

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

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 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 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 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 (/.f64 (.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64)))) (/.f64 (.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64))))) (.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64)))))) (+.f64 (/.f64 (.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 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 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 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 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 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 (pow.f64 (/.f64 (.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64)))) (/.f64 (.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64)))) (.f64 (/.f64 (.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 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))) (pow.f64 (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64)))) (.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64))) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 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 (-.f64 (.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 9/40 binary64) (.f64 eps eps) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 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 #s(literal 729/64000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 9/80 binary64) #s(literal 1/4 binary64)))))
(-.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))
(.f64 (fabs.f64 (.f64 #s(literal 9/40 binary64) (neg.f64 eps))) eps)
(.f64 (fabs.f64 (.f64 #s(literal 9/40 binary64) eps)) eps)
(.f64 (.f64 #s(literal 9/40 binary64) (neg.f64 eps)) (neg.f64 eps))
(.f64 (.f64 #s(literal 9/40 binary64) eps) eps)
(.f64 (neg.f64 eps) (.f64 (neg.f64 eps) #s(literal 9/40 binary64)))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
(.f64 eps (fabs.f64 (.f64 (neg.f64 eps) #s(literal 9/40 binary64))))
(.f64 eps (fabs.f64 (.f64 #s(literal 9/40 binary64) eps)))
(.f64 eps (.f64 #s(literal 9/40 binary64) eps))
(sqrt.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps))))
(fabs.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)))
(*.f64 (neg.f64 (neg.f64 (neg.f64 eps))) (neg.f64 (neg.f64 (neg.f64 eps))))
(*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 (neg.f64 eps)))
(*.f64 (neg.f64 eps) (neg.f64 eps))
(*.f64 eps eps)
(pow.f64 (neg.f64 (neg.f64 eps)) #s(literal 2 binary64))
(pow.f64 (neg.f64 eps) #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 eps #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 eps) eps))
(neg.f64 (*.f64 eps (neg.f64 eps)))
(sqrt.f64 (pow.f64 eps #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 eps) eps))
(fabs.f64 (*.f64 eps (neg.f64 eps)))
(fabs.f64 (neg.f64 (*.f64 eps eps)))
(fabs.f64 (*.f64 eps eps))
(+.f64 (cosh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 eps) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (neg.f64 eps)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 729/7840000 binary64) (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64))) (/.f64 (.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64))) (fma.f64 (/.f64 #s(literal 729/7840000 binary64) (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64))) (/.f64 #s(literal 729/7840000 binary64) (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64))) (.f64 (/.f64 (.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64))) (/.f64 #s(literal 729/7840000 binary64) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 19683/21952000000 binary64) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))) (/.f64 (.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))) (fma.f64 (/.f64 #s(literal 19683/21952000000 binary64) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))) (/.f64 #s(literal 19683/21952000000 binary64) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))) (.f64 (/.f64 (.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))) (/.f64 #s(literal 19683/21952000000 binary64) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/7840000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 19683/21952000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64))) (.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64)) #s(literal 729/7840000 binary64))) (.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64)) (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))) (.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64))) #s(literal 19683/21952000000 binary64))) (.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64))) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/7840000 binary64))) (neg.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 19683/21952000000 binary64))) (neg.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/7840000 binary64)) (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 19683/21952000000 binary64)) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64))) (/.f64 #s(literal 729/7840000 binary64) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))) (/.f64 #s(literal 19683/21952000000 binary64) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))))
(-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64))
(.f64 (fabs.f64 (.f64 #s(literal 27/112000 binary64) (neg.f64 eps))) eps)
(.f64 (fabs.f64 (.f64 #s(literal 27/112000 binary64) eps)) eps)
(.f64 (.f64 #s(literal 27/112000 binary64) (neg.f64 eps)) (neg.f64 eps))
(.f64 (.f64 #s(literal 27/112000 binary64) eps) eps)
(.f64 (neg.f64 eps) (.f64 (neg.f64 eps) #s(literal 27/112000 binary64)))
(.f64 #s(literal 27/112000 binary64) (.f64 eps eps))
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
(.f64 eps (fabs.f64 (.f64 (neg.f64 eps) #s(literal 27/112000 binary64))))
(.f64 eps (fabs.f64 (.f64 #s(literal 27/112000 binary64) eps)))
(.f64 eps (.f64 #s(literal 27/112000 binary64) eps))
(sqrt.f64 (*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps))))
(fabs.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)))

eval86.0ms (0.5%)

Memory: 27.7MiB live, 123.9MiB allocated; 46ms collecting garbage
Compiler: Compiled 18 617 to 1 445 computations (92.2% saved)

prune26.0ms (0.2%)

Memory

-18.5MiB live, 27.3MiB allocated; 10ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	394	2	396
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	396	4	400

Accuracy

100.0%

Counts

400 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (.f64 eps eps)) (.f64 eps eps) (-.f64 (.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))
▶	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal -27/2800 binary64) (-.f64 (.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
✓	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
✓	99.4%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 86 to 53 computations (38.4% saved)

simplify152.0ms (0.9%)

Memory

2.2MiB live, 86.1MiB allocated; 15ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64))
cost-diff	0	(.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (.f64 eps eps))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (.f64 eps eps)) (.f64 eps eps) (-.f64 (.f64 #s(literal 9/40 binary64) (*.f64 eps eps)) #s(literal 1/2 binary64))))
cost-diff	4	(fma.f64 (.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (.f64 eps eps)) (.f64 eps eps) (-.f64 (.f64 #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 (.f64 eps eps) (.f64 eps eps)) #s(literal -27/2800 binary64) (-.f64 (.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 (.f64 eps eps) (.f64 eps eps)) #s(literal -27/2800 binary64) (-.f64 (.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
cost-diff	4	(.f64 (.f64 eps eps) (*.f64 eps eps))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	165
0	37	165
1	82	151
2	259	147
3	1099	147
4	2137	147
5	2624	147
6	2785	147
7	3059	147
8	3684	147
9	4925	147
10	7761	147
0	8025	145

Stop Event

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

Calls

Call 1

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

localize411.0ms (2.5%)

Memory

10.8MiB live, 297.0MiB allocated; 109ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64))
accuracy	0.109375	(.f64 #s(literal 27/112000 binary64) (.f64 eps eps))
accuracy	0.140625	(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
accuracy	0.203125	(.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (.f64 eps eps))
accuracy	0.0	(*.f64 eps eps)
accuracy	0.04584366812348986	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal -27/2800 binary64) (-.f64 (.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
accuracy	0.11166000976844202	(.f64 (.f64 eps eps) (*.f64 eps eps))
accuracy	0.140625	(.f64 (.f64 eps eps) #s(literal 9/40 binary64))

Samples

254.0ms	147×	2	valid
108.0ms	44×	3	valid
27.0ms	64×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 129 to 26 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 363.0ms

ival-tan: 140.0ms (38.6% of total)

adjust: 97.0ms (26.7% of total)

ival-sin: 62.0ms (17.1% of total)

ival-mult: 27.0ms (7.4% of total)

const: 17.0ms (4.7% of total)

ival-sub: 13.0ms (3.6% of total)

ival-add: 4.0ms (1.1% of total)

ival-div: 3.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0%)

Memory

18.9MiB live, 18.9MiB allocated; 0ms collecting garbage

Counts

11 → 29

Calls

Call 1

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

Outputs
(pow eps 4)
-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)
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))
-27/2800
(- (* 27/112000 (pow eps 2)) 27/2800)
(* 9/40 (pow eps 2))
(* 27/112000 (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))))))
(* -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)))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 4))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(+ 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

2.0ms

eps

inf

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

2.0ms

eps

-inf

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

1.0ms

eps

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

simplify142.0ms (0.9%)

Memory

-3.3MiB live, 139.2MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	429
1	306	395
2	982	367
3	5170	367
0	8404	359

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 29

Calls

Call 1

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

rewrite187.0ms (1.1%)

Memory

4.5MiB live, 138.0MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	139
0	37	131
1	182	121
2	1248	121
0	8325	119

Stop Event

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

Counts

11 → 249

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (neg.f64 eps) #s(literal 3 binary64)) (neg.f64 eps))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) eps)
(.f64 (.f64 (neg.f64 eps) eps) (*.f64 (neg.f64 eps) eps))
(*.f64 (neg.f64 eps) (pow.f64 (neg.f64 eps) #s(literal 3 binary64)))
(.f64 (.f64 eps eps) (*.f64 eps eps))
(*.f64 eps (pow.f64 eps #s(literal 3 binary64)))
(pow.f64 (*.f64 (neg.f64 eps) eps) #s(literal 2 binary64))
(pow.f64 (neg.f64 eps) #s(literal 4 binary64))
(pow.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 2 binary64))
(pow.f64 eps #s(literal 4 binary64))
(neg.f64 (.f64 (.f64 (neg.f64 eps) eps) (*.f64 eps eps)))
(neg.f64 (.f64 (.f64 eps eps) (*.f64 (neg.f64 eps) eps)))
(sqrt.f64 (pow.f64 eps #s(literal 8 binary64)))
(fabs.f64 (.f64 (.f64 (neg.f64 eps) eps) (*.f64 eps eps)))
(fabs.f64 (.f64 (.f64 eps eps) (*.f64 (neg.f64 eps) eps)))
(fabs.f64 (neg.f64 (pow.f64 eps #s(literal 4 binary64))))
(fabs.f64 (pow.f64 eps #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 2 binary64))) (sinh.f64 (.f64 (.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 eps) #s(literal 2 binary64) (*.f64 (log.f64 eps) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (neg.f64 eps) eps)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 eps) #s(literal 2 binary64)) #s(literal 2 binary64)))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 #s(literal -27/2800 binary64) (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 19683/21952000000 binary64) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))) (/.f64 (.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))) (fma.f64 (/.f64 #s(literal 19683/21952000000 binary64) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))) (/.f64 #s(literal 19683/21952000000 binary64) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))) (.f64 (/.f64 (.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))) (/.f64 #s(literal 19683/21952000000 binary64) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/7840000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 19683/21952000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64))) (.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64)) #s(literal 729/7840000 binary64))) (.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64)) (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))) (.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64))) #s(literal 19683/21952000000 binary64))) (.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64))) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/7840000 binary64))) (neg.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 19683/21952000000 binary64))) (neg.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/7840000 binary64)) (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 19683/21952000000 binary64)) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64))) (/.f64 #s(literal 729/7840000 binary64) (fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal 27/2800 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))) (/.f64 #s(literal 19683/21952000000 binary64) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 (*.f64 eps eps) #s(literal 729/313600000 binary64) #s(literal 729/7840000 binary64)))))
(-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64))
(.f64 (fabs.f64 (.f64 #s(literal 9/40 binary64) (neg.f64 eps))) eps)
(.f64 (fabs.f64 (.f64 #s(literal 9/40 binary64) eps)) eps)
(.f64 (.f64 #s(literal 9/40 binary64) (neg.f64 eps)) (neg.f64 eps))
(.f64 (.f64 #s(literal 9/40 binary64) eps) eps)
(.f64 (neg.f64 eps) (.f64 (neg.f64 eps) #s(literal 9/40 binary64)))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
(.f64 eps (fabs.f64 (.f64 (neg.f64 eps) #s(literal 9/40 binary64))))
(.f64 eps (fabs.f64 (.f64 #s(literal 9/40 binary64) eps)))
(.f64 eps (.f64 #s(literal 9/40 binary64) eps))
(sqrt.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps))))
(fabs.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)))
(.f64 (fabs.f64 (.f64 #s(literal 9/40 binary64) (neg.f64 eps))) eps)
(.f64 (fabs.f64 (.f64 #s(literal 9/40 binary64) eps)) eps)
(.f64 (.f64 #s(literal 9/40 binary64) (neg.f64 eps)) (neg.f64 eps))
(.f64 (.f64 #s(literal 9/40 binary64) eps) eps)
(.f64 (neg.f64 eps) (.f64 (neg.f64 eps) #s(literal 9/40 binary64)))
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
(.f64 eps (fabs.f64 (.f64 (neg.f64 eps) #s(literal 9/40 binary64))))
(.f64 eps (fabs.f64 (.f64 #s(literal 9/40 binary64) eps)))
(.f64 eps (.f64 #s(literal 9/40 binary64) eps))
(sqrt.f64 (*.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps))))
(fabs.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)))
(.f64 (fabs.f64 (.f64 #s(literal 27/112000 binary64) (neg.f64 eps))) eps)
(.f64 (fabs.f64 (.f64 #s(literal 27/112000 binary64) eps)) eps)
(.f64 (.f64 #s(literal 27/112000 binary64) (neg.f64 eps)) (neg.f64 eps))
(.f64 (.f64 #s(literal 27/112000 binary64) eps) eps)
(.f64 (neg.f64 eps) (.f64 (neg.f64 eps) #s(literal 27/112000 binary64)))
(.f64 #s(literal 27/112000 binary64) (.f64 eps eps))
(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
(.f64 eps (fabs.f64 (.f64 (neg.f64 eps) #s(literal 27/112000 binary64))))
(.f64 eps (fabs.f64 (.f64 #s(literal 27/112000 binary64) eps)))
(.f64 eps (.f64 #s(literal 27/112000 binary64) eps))
(sqrt.f64 (*.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps))))
(fabs.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)))

eval94.0ms (0.6%)

Memory: 8.0MiB live, 62.4MiB allocated; 8ms collecting garbage
Compiler: Compiled 19 343 to 1 785 computations (90.8% saved)

prune29.0ms (0.2%)

Memory

-28.1MiB live, 18.4MiB allocated; 2ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	429	1	430
Fresh	0	0	0
Picked	1	1	2
Done	0	2	2
Total	430	4	434

Accuracy

100.0%

Counts

434 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 (.f64 eps eps) (.f64 eps eps)) #s(literal -27/2800 binary64) (-.f64 (.f64 (*.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
▶	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))
✓	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
✓	99.4%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 82 to 53 computations (35.4% saved)

simplify133.0ms (0.8%)

Memory

23.3MiB live, 67.9MiB allocated; 4ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(.f64 (.f64 eps eps) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps #s(literal 9/40 binary64)))
cost-diff	0	(-.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps #s(literal 9/40 binary64))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	103
0	26	103
1	52	103
2	156	103
3	551	103
4	1270	103
5	1488	103
6	1600	103
7	1848	103
8	2482	103
9	3714	103
10	6713	103
0	8138	103

Stop Event

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

Calls

Call 1

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

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

localize382.0ms (2.3%)

Memory

0.2MiB live, 285.3MiB allocated; 43ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64))
accuracy	0.109375	(.f64 #s(literal 27/112000 binary64) (.f64 eps eps))
accuracy	0.13671875	(.f64 (.f64 eps eps) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps #s(literal 9/40 binary64)))
accuracy	0.36328125	(.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps)

Samples

240.0ms	147×	2	valid
80.0ms	44×	3	valid
23.0ms	64×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 89 to 20 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 309.0ms

ival-tan: 165.0ms (53.5% of total)

ival-sin: 65.0ms (21.1% of total)

adjust: 35.0ms (11.3% of total)

const: 15.0ms (4.9% of total)

ival-mult: 12.0ms (3.9% of total)

ival-sub: 11.0ms (3.6% of total)

ival-div: 3.0ms (1% of total)

ival-add: 2.0ms (0.6% 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

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Counts

7 → 28

Calls

Call 1

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

eps

-inf

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

1.0ms

eps

inf

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

1.0ms

eps

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

simplify189.0ms (1.1%)

Memory

-0.8MiB live, 175.6MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	429
1	302	395
2	1001	367
3	5266	367
0	8531	357

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 28

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)
(* 9/40 (pow eps 2))
(* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2))))
(* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800))))
(pow eps 2)
(* -27/2800 eps)
(* eps (- (* 27/112000 (pow eps 2)) 27/2800))
(* 27/112000 (pow eps 2))
-27/2800
(- (* 27/112000 (pow eps 2)) 27/2800)
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))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 3))
(* (pow eps 3) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(+ 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 (* (pow eps 3) (- (* 27/2800 (/ 1 (pow eps 2))) 27/112000)))

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

rewrite145.0ms (0.9%)

Memory

19.7MiB live, 110.0MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	86
0	26	86
1	123	86
2	933	86
0	8455	86

Stop Event

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

Counts

7 → 194

Calls

Call 1

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

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (-.f64 (.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 1/2 binary64))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 19683/21952000000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 729/313600000 binary64) (.f64 eps eps) #s(literal 729/7840000 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64))) (.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64)) #s(literal 729/7840000 binary64))) (.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64)) (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 729/313600000 binary64) (.f64 eps eps) #s(literal 729/7840000 binary64)))) (.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 729/313600000 binary64) (.f64 eps eps) #s(literal 729/7840000 binary64))) #s(literal 19683/21952000000 binary64))) (.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 729/313600000 binary64) (.f64 eps eps) #s(literal 729/7840000 binary64))) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 729/313600000 binary64) (.f64 eps eps) #s(literal 729/7840000 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/7840000 binary64))) (fma.f64 #s(literal -27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 19683/21952000000 binary64))) (neg.f64 (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 729/313600000 binary64) (.f64 eps eps) #s(literal 729/7840000 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/7840000 binary64)) (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 19683/21952000000 binary64)) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 729/313600000 binary64) (.f64 eps eps) #s(literal 729/7840000 binary64))))
(neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal 27/2800 binary64))) (/.f64 #s(literal -729/7840000 binary64) (fma.f64 #s(literal -27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))))
(-.f64 (/.f64 (.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 729/313600000 binary64) (.f64 eps eps) #s(literal 729/7840000 binary64)))) (/.f64 #s(literal 19683/21952000000 binary64) (fma.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64)) (fma.f64 #s(literal 729/313600000 binary64) (*.f64 eps eps) #s(literal 729/7840000 binary64)))))
(-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64))

eval31.0ms (0.2%)

Memory: -9.1MiB live, 36.7MiB allocated; 3ms collecting garbage
Compiler: Compiled 10 253 to 1 162 computations (88.7% saved)

prune7.0ms (0%)

Memory

13.6MiB live, 13.6MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	233	1	234
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	234	4	238

Accuracy

100.0%

Counts

238 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) eps) eps #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))
	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (.f64 (.f64 eps eps) (fma.f64 (.f64 #s(approx (- ( 27/112000 (* eps eps)) 27/2800) #s(literal -27/2800 binary64)) eps) eps #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))
✓	99.8%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
✓	99.4%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 289 to 113 computations (60.9% saved)

regimes5.0ms (0%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Counts

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

Calls

2 calls:

3.0ms	eps
2.0ms	(/.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)

regimes3.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

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

Outputs

#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (*.f64 (*.f64 eps eps) (fma.f64 (*.f64 #s(approx (- (* 27/112000 (* eps eps)) 27/2800) #s(literal -27/2800 binary64)) eps) eps #s(literal 9/40 binary64))) #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
99.9%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
99.9%	1	`eps`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
99.8%	1	`eps`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes19.0ms (0.1%)

Memory

-44.9MiB live, 8.3MiB allocated; 10ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	eps
1.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

Accuracy	Segments	Branch
99.4%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
99.4%	1	`eps`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify55.0ms (0.3%)

Memory

0.1MiB live, 44.2MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	86
1	52	86
2	87	86
3	130	86
4	176	86
5	231	86
6	326	86
7	596	86
8	1564	86
9	7131	86

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations514.0ms (3.1%)

Memory

16.7MiB live, 251.9MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	148	475
1	428	433
2	1443	405
3	7531	405
0	8354	389
0	104	429
1	302	395
2	1001	367
3	5266	367
0	8531	357
0	24	139
0	37	131
1	182	121
2	1248	121
0	8325	119
0	25	138
0	35	138
1	143	138
2	1074	138
0	8423	138

Stop Event

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

Compiler

Compiled 86 to 35 computations (59.3% saved)

preprocess22.0ms (0.1%)

Memory: 29.2MiB live, 29.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 204 to 94 computations (53.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze655.0ms (4%)

sample9.7s (58.7%)

explain685.0ms (4.2%)

preprocess314.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify280.0ms (1.7%)

localize337.0ms (2%)

series4.0ms (0%)

simplify204.0ms (1.2%)

rewrite231.0ms (1.4%)

eval14.0ms (0.1%)

prune5.0ms (0%)

simplify229.0ms (1.4%)

localize494.0ms (3%)

series7.0ms (0%)

simplify194.0ms (1.2%)

rewrite491.0ms (3%)

eval86.0ms (0.5%)

prune26.0ms (0.2%)

simplify152.0ms (0.9%)

localize411.0ms (2.5%)

series5.0ms (0%)

simplify142.0ms (0.9%)

rewrite187.0ms (1.1%)

eval94.0ms (0.6%)

prune29.0ms (0.2%)

simplify133.0ms (0.8%)

localize382.0ms (2.3%)

series4.0ms (0%)

simplify189.0ms (1.1%)

rewrite145.0ms (0.9%)

eval31.0ms (0.2%)

prune7.0ms (0%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes19.0ms (0.1%)

simplify55.0ms (0.3%)

derivations514.0ms (3.1%)

preprocess22.0ms (0.1%)

end0.0ms (0%)

Profiling