Metrics for sintan (problem 3.4.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze408.0ms (2.4%)

Memory

-7.1MiB live, 449.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample9.7s (57.5%)

Memory

92.4MiB live, 8 561.8MiB allocated

Samples

6.9s	4 520×	2	valid
1.2s	1 136×	3	valid
782.0ms	2 450×	1	valid
25.0ms	150×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.5s

ival-tan: 4.8s (56.7% of total)

ival-sin: 2.5s (29.5% of total)

adjust: 376.0ms (4.4% of total)

ival-sub: 298.0ms (3.5% of total)

const: 252.0ms (3% of total)

ival-div: 161.0ms (1.9% of total)

ival-<=: 72.0ms (0.8% of total)

ival-and: 13.0ms (0.2% of total)

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

Bogosity

explain675.0ms (4%)

Memory

-28.9MiB live, 765.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
173	0	-	5	(-6.088598778783379e-108)	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
85	4	(-2.58866097908698e-108)	0	-	`(-.f64 eps (tan.f64 eps))`
85	3	(-2.58866097908698e-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	167	0
↳	`(-.f64 eps (sin.f64 eps))`	underflow	168
↳	`(-.f64 eps (tan.f64 eps))`	underflow	167
`-.f64`	`(-.f64 eps (tan.f64 eps))`	cancellation	89	0
`-.f64`	`(-.f64 eps (sin.f64 eps))`	cancellation	88	0
`/.f64`	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`	u/n	1	0
↳	`(-.f64 eps (sin.f64 eps))`	underflow	168

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	167
2	89

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

480.0ms	282×	2	valid
60.0ms	76×	3	valid
57.0ms	148×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 57 to 22 computations (61.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 573.0ms

ival-tan: 358.0ms (62.5% of total)

ival-sin: 167.0ms (29.2% of total)

adjust: 24.0ms (4.2% of total)

ival-sub: 16.0ms (2.8% of total)

ival-div: 7.0ms (1.2% of total)

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

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

preprocess324.0ms (1.9%)

Memory

16.6MiB live, 134.2MiB allocated

Algorithm

1×	egg-herbie

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
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	0.9%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify345.0ms (2.1%)

Memory

17.8MiB live, 180.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	22
0	11	22
1	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)

localize410.0ms (2.4%)

Memory

-9.0MiB live, 498.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 eps)
accuracy	18.98305163256221	(-.f64 eps (sin.f64 eps))
accuracy	19.00066601541299	(-.f64 eps (tan.f64 eps))
accuracy	42.53625387729655	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Samples

339.0ms	141×	2	valid
45.0ms	38×	3	valid
14.0ms	74×	1	valid
0.0ms	3×	0	valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 378.0ms

ival-tan: 289.0ms (76.4% of total)

ival-sin: 68.0ms (18% of total)

adjust: 11.0ms (2.9% of total)

ival-sub: 8.0ms (2.1% of total)

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

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

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

series4.0ms (0%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

4 → 28

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

eps

inf

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

1.0ms

eps

-inf

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

1.0ms

eps

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

simplify195.0ms (1.2%)

Memory

-17.7MiB live, 191.2MiB allocated

Algorithm

1×	egg-herbie

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)))

rewrite306.0ms (1.8%)

Memory

-4.3MiB live, 233.6MiB allocated

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))))
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(/.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps))) (.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (.f64 eps eps)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 eps) eps) (sin.f64 eps) (*.f64 eps eps)) #s(literal 2 binary64)))
(/.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)))

eval15.0ms (0.1%)

Memory: 27.6MiB live, 27.6MiB allocated
Compiler: Compiled 5 951 to 686 computations (88.5% saved)

prune11.0ms (0.1%)

Memory

-25.3MiB live, 11.8MiB allocated

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))))
▶	100.0%	#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))))
▶	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
▶	99.5%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 78 to 55 computations (29.5% saved)

simplify177.0ms (1.1%)

Memory

-4.0MiB live, 114.5MiB allocated

Algorithm

1×	egg-herbie

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)

localize544.0ms (3.2%)

Memory

9.7MiB live, 374.1MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(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	0.00390625	(pow.f64 eps #s(literal 4 binary64))
accuracy	0.12109375	(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
accuracy	0.12109375	(.f64 #s(literal 27/112000 binary64) (.f64 eps eps))
accuracy	0.00390625	(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	0.00390625	(pow.f64 eps #s(literal 4 binary64))
accuracy	0.018140063241307517	#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	0.12109375	(.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	0.08736481353914437	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
accuracy	0.12109375	(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
accuracy	0.3477841597300664	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Samples

393.0ms	141×	2	valid
77.0ms	74×	1	valid
44.0ms	38×	3	valid
1.0ms	3×	0	valid

Compiler

Compiled 148 to 25 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 409.0ms

ival-tan: 157.0ms (38.4% of total)

ival-sin: 87.0ms (21.3% of total)

ival-sub: 60.0ms (14.7% of total)

ival-mult: 53.0ms (13% of total)

adjust: 23.0ms (5.6% of total)

const: 16.0ms (3.9% of total)

ival-pow: 4.0ms (1% 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)

series6.0ms (0%)

Memory

4.7MiB live, 4.7MiB allocated

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)))

simplify147.0ms (0.9%)

Memory

13.8MiB live, 129.1MiB allocated

Algorithm

1×	egg-herbie

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)))

rewrite163.0ms (1%)

Memory

5.9MiB live, 202.9MiB allocated

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)))

eval93.0ms (0.6%)

Memory: -13.3MiB live, 150.9MiB allocated
Compiler: Compiled 18 617 to 1 445 computations (92.2% saved)

prune8.0ms (0%)

Memory

-14.6MiB live, 24.2MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	393	3	396
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	395	5	400

Accuracy

100.0%

Counts

400 → 5

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))))
▶	100.0%	#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))))
▶	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (fma.f64 (.f64 #s(literal 9/40 binary64) eps) eps (.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 1/2 binary64)))
✓	99.9%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
✓	99.5%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 114 to 73 computations (36% saved)

simplify125.0ms (0.7%)

Memory

18.9MiB live, 137.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 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))
cost-diff	0	(*.f64 #s(literal 9/40 binary64) eps)
cost-diff	0	(fma.f64 (.f64 #s(literal 9/40 binary64) eps) eps (.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))
cost-diff	0	(-.f64 (fma.f64 (.f64 #s(literal 9/40 binary64) eps) eps (.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 (fma.f64 (.f64 #s(literal 9/40 binary64) eps) eps (.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	265
0	50	253
1	104	247
2	293	245
3	1179	245
4	2189	245
5	2686	245
6	2847	245
7	3121	245
8	3741	245
9	4973	245
10	7841	245
0	8021	245

Stop Event

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

Calls

Call 1

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

localize482.0ms (2.9%)

Memory

4.2MiB live, 509.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(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)))
accuracy	0.12109375	(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
accuracy	0.12109375	(.f64 #s(literal 27/112000 binary64) (.f64 eps eps))
accuracy	0.2109375	(.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (.f64 eps eps))
accuracy	0.00390625	(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	0.018140063241307517	#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	0.12109375	(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
accuracy	0.13576127930532605	(.f64 (.f64 eps eps) (*.f64 eps eps))
accuracy	0.11556625976844202	(.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (*.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))
accuracy	0.1171875	(*.f64 #s(literal 9/40 binary64) eps)
accuracy	0.12109375	(fma.f64 (.f64 #s(literal 9/40 binary64) eps) eps (.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64))))
accuracy	0.12109375	(.f64 #s(literal 27/112000 binary64) (.f64 eps eps))

Samples

278.0ms	128×	2	valid
69.0ms	22×	5	exit
60.0ms	35×	3	valid
42.0ms	69×	1	valid
1.0ms	2×	0	valid

Compiler

Compiled 212 to 33 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 411.0ms

ival-tan: 145.0ms (35.3% of total)

ival-sin: 80.0ms (19.5% of total)

const: 58.0ms (14.1% of total)

adjust: 55.0ms (13.4% of total)

ival-mult: 39.0ms (9.5% of total)

ival-sub: 18.0ms (4.4% of total)

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

ival-pow: 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

23.9MiB live, 23.9MiB allocated

Counts

16 → 33

Calls

Call 1

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

2.0ms

eps

-inf

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

2.0ms

eps

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

simplify169.0ms (1%)

Memory

-5.3MiB live, 201.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	471
1	310	437
2	984	409
3	5157	409
0	8392	399

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 33

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

rewrite193.0ms (1.1%)

Memory

-20.1MiB live, 212.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	215
0	50	195
1	241	195
2	1578	195
0	8359	195

Stop Event

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

Counts

16 → 542

Calls

Call 1

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

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 eps #s(literal 12 binary64)) (pow.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (-.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64))))))) (/.f64 (.f64 (pow.f64 eps #s(literal 12 binary64)) (pow.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (-.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)))))))) (.f64 (/.f64 (pow.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (-.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64))))))) (/.f64 (pow.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (-.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64))))))))) (-.f64 (/.f64 (.f64 (pow.f64 eps #s(literal 12 binary64)) (pow.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (-.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64))))))) (/.f64 (pow.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 eps #s(literal 8 binary64)) (pow.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (-.f64 (-.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 81/1600 binary64) (pow.f64 eps #s(literal 4 binary64)))) (-.f64 (-.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 (.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64))) #s(literal 1/2 binary64)) (.f64 (*.f64 eps eps) #s(literal 9/40 binary64))))
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(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/7840000 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal 27/2800 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 19683/21952000000 binary64)) (pow.f64 eps #s(literal 4 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 (neg.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/7840000 binary64)))) (neg.f64 (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal 27/2800 binary64))))
(/.f64 (neg.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) (-.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 (.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/7840000 binary64)) (pow.f64 eps #s(literal 4 binary64))) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal 27/2800 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 19683/1404928000000000 binary64) (pow.f64 eps #s(literal 6 binary64))) #s(literal 19683/21952000000 binary64)) (pow.f64 eps #s(literal 4 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 (pow.f64 eps #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 729/12544000000 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 729/7840000 binary64))) (fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal 27/2800 binary64)))
(/.f64 (.f64 (pow.f64 eps #s(literal 4 binary64)) (-.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 (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 (neg.f64 eps) (.f64 (neg.f64 eps) #s(literal 9/40 binary64)))
(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
(.f64 (.f64 #s(literal 9/40 binary64) eps) eps)
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(.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 (.f64 eps eps) #s(literal 9/40 binary64))))
(fabs.f64 (.f64 (.f64 eps eps) #s(literal 9/40 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 (neg.f64 eps) (.f64 (neg.f64 eps) #s(literal 9/40 binary64)))
(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
(.f64 (.f64 #s(literal 9/40 binary64) eps) eps)
(.f64 #s(literal 9/40 binary64) (.f64 eps eps))
(.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 (.f64 eps eps) #s(literal 9/40 binary64))))
(fabs.f64 (.f64 (.f64 eps eps) #s(literal 9/40 binary64)))

eval122.0ms (0.7%)

Memory: 0.9MiB live, 158.8MiB allocated
Compiler: Compiled 31 886 to 2 751 computations (91.4% saved)

prune10.0ms (0.1%)

Memory

27.5MiB live, 27.5MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	659	2	661
Fresh	0	0	0
Picked	2	1	3
Done	0	2	2
Total	661	5	666

Accuracy

100.0%

Counts

666 → 5

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 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 (*.f64 eps eps) #s(literal 27/112000 binary64)) #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) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
▶	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 #s(approx (+ (* (* 9/40 eps) eps) (* (- (* 27/112000 (* eps eps)) 27/2800) (pow eps 4))) (.f64 (.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) #s(literal 1/2 binary64)))
✓	99.5%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 122 to 81 computations (33.6% saved)

simplify128.0ms (0.8%)

Memory

-5.8MiB live, 76.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 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 (*.f64 eps eps) #s(literal 27/112000 binary64)) #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 (*.f64 eps eps) #s(literal 27/112000 binary64)) #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 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps #s(literal 9/40 binary64))) #s(literal 1/2 binary64)))
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
cost-diff	0	#s(approx (+ (* (* 9/40 eps) eps) (* (- (* 27/112000 (* eps eps)) 27/2800) (pow eps 4))) (.f64 (.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))
cost-diff	0	(-.f64 #s(approx (+ (* (* 9/40 eps) eps) (* (- (* 27/112000 (* eps eps)) 27/2800) (pow eps 4))) (.f64 (.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) #s(literal 1/2 binary64))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 #s(approx (+ (* (* 9/40 eps) eps) (* (- (* 27/112000 (* eps eps)) 27/2800) (pow eps 4))) (.f64 (.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) #s(literal 1/2 binary64)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	232
0	47	232
1	92	232
2	238	232
3	768	229
4	1768	229
5	2269	229
6	2552	229
7	2846	229
8	3479	229
9	4704	229
10	7480	229
0	8267	229

Stop Event

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

Calls

Call 1

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

localize426.0ms (2.5%)

Memory

-21.6MiB live, 410.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps #s(literal 9/40 binary64))
accuracy	0.12109375	(.f64 (.f64 eps eps) (fma.f64 (.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps) eps #s(literal 9/40 binary64)))
accuracy	0.12109375	(.f64 (.f64 eps eps) #s(literal 27/112000 binary64))
accuracy	0.4140625	(.f64 (-.f64 (.f64 (*.f64 eps eps) #s(literal 27/112000 binary64)) #s(literal 27/2800 binary64)) eps)
accuracy	0.0078125	(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
accuracy	0.06864977428263681	#s(approx (+ (* (* 9/40 eps) eps) (* (- (* 27/112000 (* eps eps)) 27/2800) (pow eps 4))) (.f64 (.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps))
accuracy	0.1328125	(.f64 (.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
accuracy	0.1953125	(.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) eps)

Samples

263.0ms	132×	2	valid
88.0ms	48×	3	valid
46.0ms	73×	1	valid
1.0ms	3×	0	valid

Compiler

Compiled 168 to 34 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 362.0ms

ival-tan: 163.0ms (45.1% of total)

ival-sin: 74.0ms (20.5% of total)

ival-mult: 40.0ms (11.1% of total)

adjust: 32.0ms (8.8% of total)

const: 20.0ms (5.5% of total)

ival-sub: 18.0ms (5% of total)

ival-add: 7.0ms (1.9% of total)

ival-pow: 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)

series7.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

13 → 40

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

eps

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

2.0ms

eps

-inf

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

2.0ms

eps

inf

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

simplify252.0ms (1.5%)

Memory

27.6MiB live, 183.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	536
1	341	502
2	1100	474
3	5652	474
0	8169	461

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 40

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

rewrite383.0ms (2.3%)

Memory

-32.7MiB live, 133.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	213
0	47	213
1	213	210
2	1473	210
0	8179	210

Stop Event

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

Counts

13 → 269

Calls

Call 1

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

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 #s(approx (+ (* (* 9/40 eps) eps) (* (- (* 27/112000 (* eps eps)) 27/2800) (pow eps 4))) (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps)) #s(literal 1/2 binary64)))
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eval61.0ms (0.4%)

Memory: 20.7MiB live, 63.5MiB allocated
Compiler: Compiled 19 165 to 1 937 computations (89.9% saved)

prune43.0ms (0.3%)

Memory

-21.7MiB live, 17.1MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	344	0	344
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	344	5	349

Accuracy

100.0%

Counts

349 → 5

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 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 (*.f64 eps eps) #s(literal 27/112000 binary64)) #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) #s(literal 9/40 binary64)) #s(literal 1/2 binary64)))
✓	100.0%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.f64 #s(approx (+ (* (* 9/40 eps) eps) (* (- (* 27/112000 (* eps eps)) 27/2800) (pow eps 4))) (.f64 (.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) #s(literal 1/2 binary64)))
✓	99.5%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 363 to 149 computations (59% saved)

regimes6.0ms (0%)

Memory

6.3MiB live, 6.3MiB allocated

Counts

10 → 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 #s(approx (+ (* (* 9/40 eps) eps) (* (- (* 27/112000 (* eps eps)) 27/2800) (pow eps 4))) (.f64 (.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)) #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 (*.f64 eps eps) #s(literal 27/112000 binary64)) #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))) (-.f64 (fma.f64 (.f64 #s(literal 9/40 binary64) eps) eps (.f64 (-.f64 (.f64 #s(literal 27/112000 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 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 (*.f64 eps eps) #s(literal 27/112000 binary64)) #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	`eps`
100.0%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

4 → 1

Calls

Call 1

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (-.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
99.9%	1	`eps`
99.9%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

simplify58.0ms (0.3%)

Memory

-15.0MiB live, 24.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	122
1	69	122
2	125	122
3	231	122
4	348	122
5	414	122
6	509	122
7	782	122
8	1781	122
9	7311	122

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

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

soundness788.0ms (4.7%)

Memory

7.6MiB live, 438.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	215
0	50	195
1	241	195
2	1578	195
0	8359	195
0	148	475
1	428	433
2	1443	405
3	7531	405
0	8354	389
0	109	471
1	310	437
2	984	409
3	5157	409
0	8392	399
0	25	138
0	35	138
1	143	138
2	1074	138
0	8423	138

Stop Event

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

Compiler

Compiled 284 to 164 computations (42.3% saved)

preprocess34.0ms (0.2%)

Memory: 23.6MiB live, 62.4MiB allocated
Compiler: Compiled 276 to 114 computations (58.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze408.0ms (2.4%)

sample9.7s (57.5%)

explain675.0ms (4%)

preprocess324.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify345.0ms (2.1%)

localize410.0ms (2.4%)

series4.0ms (0%)

simplify195.0ms (1.2%)

rewrite306.0ms (1.8%)

eval15.0ms (0.1%)

prune11.0ms (0.1%)

simplify177.0ms (1.1%)

localize544.0ms (3.2%)

series6.0ms (0%)

simplify147.0ms (0.9%)

rewrite163.0ms (1%)

eval93.0ms (0.6%)

prune8.0ms (0%)

simplify125.0ms (0.7%)

localize482.0ms (2.9%)

series7.0ms (0%)

simplify169.0ms (1%)

rewrite193.0ms (1.1%)

eval122.0ms (0.7%)

prune10.0ms (0.1%)

simplify128.0ms (0.8%)

localize426.0ms (2.5%)

series7.0ms (0%)

simplify252.0ms (1.5%)

rewrite383.0ms (2.3%)

eval61.0ms (0.4%)

prune43.0ms (0.3%)

regimes6.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify58.0ms (0.3%)

soundness788.0ms (4.7%)

preprocess34.0ms (0.2%)

end0.0ms (0%)

Profiling