Metrics for sintan (problem 3.4.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze411.0ms (2.5%)

Memory

29.0MiB live, 452.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample10.0s (60.8%)

Memory

53.3MiB live, 8 955.9MiB allocated

Samples

7.0s	4 541×	2	valid
1.8s	1 128×	3	valid
706.0ms	2 471×	1	valid
12.0ms	116×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 9.1s

ival-tan: 4.6s (51.3% of total)

ival-sin: 2.6s (29% of total)

adjust: 692.0ms (7.6% of total)

ival-sub: 439.0ms (4.8% of total)

const: 330.0ms (3.6% of total)

ival-div: 166.0ms (1.8% of total)

ival-<=: 139.0ms (1.5% of total)

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

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

Bogosity

explain555.0ms (3.4%)

Memory

47.1MiB live, 589.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
170	0	-	1	(-3.9417351257026144e-106)	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`
85	2	(2.313962517666273e-108)	1	(-0.24868580960082204)	`(-.f64 eps (tan.f64 eps))`
85	1	(-3.3067126272634838e-108)	1	(-0.24868580960082204)	`(-.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	168	0
↳	`(-.f64 eps (sin.f64 eps))`	underflow	169
↳	`(-.f64 eps (tan.f64 eps))`	underflow	168
`-.f64`	`(-.f64 eps (tan.f64 eps))`	cancellation	86	1
`-.f64`	`(-.f64 eps (sin.f64 eps))`	cancellation	85	2
`/.f64`	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`	u/n	1	0
↳	`(-.f64 eps (sin.f64 eps))`	underflow	169

Confusion

	Predicted +	Predicted -
+	253	1
-	1	1

Precision

0.9960629921259843

Recall

0.9960629921259843

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	253	1	0
-	1	1	0

Precision?

0.9921875

Recall?

1.0

Freqs

test

number	freq
0	2
1	168
2	86

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

349.0ms	264×	2	valid
109.0ms	86×	3	valid
32.0ms	156×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 79 to 28 computations (64.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 457.0ms

ival-tan: 213.0ms (46.6% of total)

ival-sin: 173.0ms (37.8% of total)

ival-div: 37.0ms (8.1% of total)

adjust: 17.0ms (3.7% of total)

ival-sub: 15.0ms (3.3% of total)

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

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

preprocess62.0ms (0.4%)

Memory

-42.2MiB live, 48.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs eps)

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.7%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify19.0ms (0.1%)

Memory

28.4MiB live, 28.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize243.0ms (1.5%)

Memory

-7.9MiB live, 345.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 eps)
accuracy	19.244471791340423	(-.f64 eps (sin.f64 eps))
accuracy	19.260891161428294	(-.f64 eps (tan.f64 eps))
accuracy	42.1019342184892	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Samples

169.0ms	132×	2	valid
50.0ms	43×	3	valid
15.0ms	78×	1	valid
0.0ms	3×	0	valid

Compiler

Compiled 46 to 14 computations (69.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 219.0ms

ival-sin: 98.0ms (44.7% of total)

ival-tan: 92.0ms (42% of total)

ival-sub: 13.0ms (5.9% of total)

adjust: 12.0ms (5.5% of total)

ival-div: 3.0ms (1.4% of total)

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

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

series4.0ms (0%)

Memory

8.4MiB live, 8.4MiB 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
2.0ms	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

2.0ms

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)))

simplify217.0ms (1.3%)

Memory

-14.4MiB live, 177.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 27

Calls

Call 1

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

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

rewrite273.0ms (1.7%)

Memory

-8.9MiB live, 205.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 419

Calls

Call 1

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

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

eval33.0ms (0.2%)

Memory: 33.1MiB live, 69.1MiB allocated
Compiler: Compiled 11 420 to 1 220 computations (89.3% saved)

prune32.0ms (0.2%)

Memory

-5.7MiB live, 28.9MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	435	7	442
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	435	8	443

Accuracy

100.0%

Counts

443 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.2%	(/.f64 (-.f64 (.f64 (neg.f64 eps) (-.f64 (tan.f64 eps) eps)) (.f64 (-.f64 (tan.f64 eps) eps) (neg.f64 (sin.f64 eps)))) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 2 binary64)))
✓	1.7%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
▶	1.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)))
	1.7%	(-.f64 (/.f64 eps (-.f64 eps (tan.f64 eps))) (/.f64 (sin.f64 eps) (-.f64 eps (tan.f64 eps))))
▶	99.7%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
▶	99.6%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
▶	99.5%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
▶	99.1%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 253 to 154 computations (39.1% saved)

simplify296.0ms (1.8%)

Memory

6.4MiB live, 123.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(tan.f64 eps)
cost-diff	0	(-.f64 (tan.f64 eps) eps)
cost-diff	0	(/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)))
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
cost-diff	0	(*.f64 eps eps)
cost-diff	0	(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	186
0	47	186
1	88	186
2	148	184
3	305	184
4	641	184
5	1197	184
6	2314	184
7	4111	184
8	5052	184
9	5579	184
10	5667	184
11	5694	184
12	5709	184
13	5770	184
14	5786	184
15	5786	184
16	5786	184
17	5786	184
18	5790	184
0	5790	184

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize421.0ms (2.6%)

Memory

-30.6MiB live, 655.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)))
accuracy	19.244471791340423	(-.f64 (sin.f64 eps) eps)
accuracy	19.260891161428294	(-.f64 (tan.f64 eps) eps)
accuracy	42.09474391833478	(/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps))
accuracy	0.0	(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
accuracy	0.0	(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
accuracy	0.0	(*.f64 eps eps)
accuracy	0.24149421379981184	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
accuracy	0.0	(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
accuracy	0.0	(*.f64 eps eps)
accuracy	0.3515666082136605	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
accuracy	0.5572931745264323	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
accuracy	0.0	(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))
accuracy	0.0	(*.f64 eps eps)
accuracy	0.0078125	(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
accuracy	0.1603664045430892	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))

Samples

241.0ms	136×	2	valid
97.0ms	39×	3	valid
48.0ms	78×	1	valid
1.0ms	3×	0	valid

Compiler

Compiled 346 to 58 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 348.0ms

ival-tan: 123.0ms (35.3% of total)

ival-sin: 101.0ms (29% of total)

adjust: 37.0ms (10.6% of total)

ival-add: 24.0ms (6.9% of total)

const: 23.0ms (6.6% of total)

ival-mult: 18.0ms (5.2% of total)

ival-sub: 14.0ms (4% of total)

ival-div: 9.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated

Counts

16 → 61

Calls

Call 1

Inputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(*.f64 eps eps)
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)))
(/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps))
(-.f64 (tan.f64 eps) eps)
(tan.f64 eps)
(-.f64 (sin.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
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
-27/2800
(- (* 27/112000 (pow eps 2)) 27/2800)
(pow eps 2)
-2
(- (* -9/10 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2)
(* 1/3 (pow eps 3))
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
eps
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(* -1/6 (pow eps 3))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 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)))))
(* 27/112000 (pow eps 2))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (* -1 (/ (sin eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))) (* -1 (/ (sin eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 3)))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))))
(* -1 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(/ (sin eps) (cos eps))
(* eps (- (/ (sin eps) eps) 1))
(+ 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 (* -1 (/ (- (/ (sin eps) (cos eps)) (sin eps)) eps)))
(+ 1 (* -1 (/ (- (+ (/ (sin eps) (cos eps)) (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps))) eps)) (sin eps)) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (sin eps))) eps)) (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps)))) eps)) (/ (sin eps) (cos eps))) (sin eps)) eps)))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	eps	@	inf	((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (+ (* 27/112000 (* eps eps)) -27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (/ 1 (/ (- (tan eps) eps) (- (sin eps) eps))) (/ (- (tan eps) eps) (- (sin eps) eps)) (- (tan eps) eps) (tan eps) (- (sin eps) eps))
3.0ms	eps	@	-inf	((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (+ (* 27/112000 (* eps eps)) -27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (/ 1 (/ (- (tan eps) eps) (- (sin eps) eps))) (/ (- (tan eps) eps) (- (sin eps) eps)) (- (tan eps) eps) (tan eps) (- (sin eps) eps))
2.0ms	eps	@	0	((/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* (+ (* 27/112000 (* eps eps)) -27/2800) (* eps eps)) 9/40) (+ (* 27/112000 (* eps eps)) -27/2800) (/ (- eps (sin eps)) (- eps (tan eps))) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (* eps eps) 9/40) -1/2) (* eps eps) (/ (- eps (sin eps)) (- eps (tan eps))) (+ (* (+ (* -27/2800 (* eps eps)) 9/40) (* eps eps)) -1/2) (+ (* -27/2800 (* eps eps)) 9/40) (/ 1 (/ (- (tan eps) eps) (- (sin eps) eps))) (/ (- (tan eps) eps) (- (sin eps) eps)) (- (tan eps) eps) (tan eps) (- (sin eps) eps))

Time

Variable

Point

Expression

3.0ms

eps

inf

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

3.0ms

eps

-inf

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

2.0ms

eps

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

simplify227.0ms (1.4%)

Memory

18.4MiB live, 169.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	227	894
1	669	838
2	2192	789
3	7467	787
0	8210	746

Stop Event

1×	iter limit
1×	node limit

Counts

61 → 60

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
(+ 9/40 (* -27/2800 (pow eps 2)))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
-27/2800
(- (* 27/112000 (pow eps 2)) 27/2800)
(pow eps 2)
-2
(- (* -9/10 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2)
(* 1/3 (pow eps 3))
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
eps
(* eps (+ 1 (* 1/3 (pow eps 2))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(* -1/6 (pow eps 3))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* 27/112000 (pow eps 6))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(* 27/112000 (pow eps 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)))))
(* 27/112000 (pow eps 2))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(* 9/40 (pow eps 2))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(* -27/2800 (pow eps 4))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(* -27/2800 (pow eps 2))
(* (pow eps 2) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (* -1 (/ (sin eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))) (* -1 (/ (sin eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 3)))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))))
(* -1 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(/ (sin eps) (cos eps))
(* eps (- (/ (sin eps) eps) 1))
(+ 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 (* -1 (/ (- (/ (sin eps) (cos eps)) (sin eps)) eps)))
(+ 1 (* -1 (/ (- (+ (/ (sin eps) (cos eps)) (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps))) eps)) (sin eps)) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (sin eps))) eps)) (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps)))) eps)) (/ (sin eps) (cos eps))) (sin eps)) eps)))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
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))
(+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))
(fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64))
-27/2800
#s(literal -27/2800 binary64)
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(pow eps 2)
(*.f64 eps eps)
-2
#s(literal -2 binary64)
(- (* -9/10 (pow eps 2)) 2)
(fma.f64 #s(literal -9/10 binary64) (*.f64 eps eps) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)
(fma.f64 (fma.f64 #s(literal -513/1400 binary64) (.f64 eps eps) #s(literal -9/10 binary64)) (.f64 eps eps) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2)
(fma.f64 (fma.f64 (fma.f64 #s(literal -297/2000 binary64) (.f64 eps eps) #s(literal -513/1400 binary64)) (.f64 eps eps) #s(literal -9/10 binary64)) (*.f64 eps eps) #s(literal -2 binary64))
(* 1/3 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))
(.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/2835 binary64) (.f64 eps eps) #s(literal 17/315 binary64)) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
eps
(* eps (+ 1 (* 1/3 (pow eps 2))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64) eps)
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* 2/15 (pow eps 2))))))
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)) eps)
(* -1/6 (pow eps 3))
(*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* 1/120 (pow eps 2)) 1/6))
(.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) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))
(.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) (*.f64 eps eps) #s(literal -1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (- (* (pow eps 2) (+ 1/120 (* (pow eps 2) (- (* 1/362880 (pow eps 2)) 1/5040)))) 1/6))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (.f64 eps eps) #s(literal -1/5040 binary64)) (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 eps eps) #s(literal -1/6 binary64)) (pow.f64 eps #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 1 binary64) (/.f64 (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 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (*.f64 eps eps)) (/.f64 #s(literal -1 binary64) eps)) (fma.f64 (sin.f64 eps) (fma.f64 (/.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64))) (sin.f64 eps) (/.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)))
(* 27/112000 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal 27/112000 binary64))
(* (pow eps 6) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps))) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (+ 27/112000 (/ 9/40 (pow eps 4))) (+ (* 27/2800 (/ 1 (pow eps 2))) (* 1/2 (/ 1 (pow eps 6))))))
(.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 9/40 binary64) (pow.f64 eps #s(literal 4 binary64))) #s(literal 27/112000 binary64)) (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps))) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 6 binary64)))) (pow.f64 eps #s(literal 6 binary64)))
(* 27/112000 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 27/112000 binary64))
(* (pow eps 4) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
(.f64 (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 27/112000 binary64) (/.f64 #s(literal 27/2800 binary64) (.f64 eps eps))))
(* (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)))
(* 27/112000 (pow eps 2))
(.f64 #s(literal 27/112000 binary64) (.f64 eps eps))
(* (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)
(* 9/40 (pow eps 2))
(.f64 (.f64 eps eps) #s(literal 9/40 binary64))
(* (pow eps 2) (- 9/40 (* 1/2 (/ 1 (pow eps 2)))))
(.f64 (.f64 (-.f64 #s(literal 9/40 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) 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)))
(* -27/2800 (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)
(- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (* -1 (/ (sin eps) eps)))
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal -1 binary64)) (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))) (* -1 (/ (sin eps) eps)))
(fma.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 3)))) (+ (* -1 (/ (sin eps) eps)) (* -1 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (* -1 (sin eps)))) (pow eps 2)))))
(fma.f64 (+.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps) (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) #s(literal 1 binary64)))
(* -1 eps)
(neg.f64 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))
(/ (sin eps) (cos eps))
(/.f64 (sin.f64 eps) (cos.f64 eps))
(* eps (- (/ (sin eps) eps) 1))
(fma.f64 (/.f64 (sin.f64 eps) eps) eps (neg.f64 eps))
(+ 1 (* -1 (/ (- (sin eps) (/ (sin eps) (cos eps))) eps)))
(fma.f64 (/.f64 (sin.f64 eps) eps) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (sin eps) (/ (* (sin eps) (- (sin eps) (/ (sin eps) (cos eps)))) (* eps (cos eps)))) (/ (sin eps) (cos eps))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal -1 binary64)) (/.f64 (sin.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)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 eps) (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) (cos.f64 eps)))) eps)) eps))
(+ 1 (* -1 (/ (- (/ (sin eps) (cos eps)) (sin eps)) eps)))
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (cos.f64 eps)) #s(literal -1 binary64)) (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (/ (sin eps) (cos eps)) (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps))) eps)) (sin eps)) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 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)) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (sin eps))) eps)) (* (sin eps) (- (/ (sin eps) (cos eps)) (sin eps)))) eps)) (/ (sin eps) (cos eps))) (sin eps)) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (*.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (+.f64 (sin.f64 eps) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps))) eps)) (sin.f64 eps)) eps))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) eps)))))
(fma.f64 (/.f64 (sin.f64 eps) eps) eps (neg.f64 eps))

rewrite235.0ms (1.4%)

Memory

-38.5MiB live, 131.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	163
0	47	163
1	224	161
2	1743	161
0	8579	161

Stop Event

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

Counts

16 → 521

Calls

Call 1

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

Outputs
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
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eval153.0ms (0.9%)

Memory: 10.0MiB live, 97.7MiB allocated
Compiler: Compiled 19 149 to 2 362 computations (87.7% saved)

prune24.0ms (0.1%)

Memory

-6.4MiB live, 31.6MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	617	3	620
Fresh	1	1	2
Picked	0	5	5
Done	0	1	1
Total	618	10	628

Accuracy

100.0%

Counts

628 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.2%	(/.f64 (-.f64 (.f64 (neg.f64 eps) (-.f64 (tan.f64 eps) eps)) (.f64 (-.f64 (tan.f64 eps) eps) (neg.f64 (sin.f64 eps)))) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 2 binary64)))
✓	1.7%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
✓	1.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)))
▶	1.7%	(-.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 (tan.f64 eps) eps)))
✓	99.7%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.6%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.5%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
▶	99.7%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))))
▶	99.6%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (+.f64 (.f64 (.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64)))
✓	99.1%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 183 to 113 computations (38.3% saved)

simplify180.0ms (1.1%)

Memory

29.7MiB live, 146.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	128	(*.f64 (-.f64 (tan.f64 eps) eps) (neg.f64 (sin.f64 eps)))
cost-diff	128	(*.f64 (neg.f64 eps) (-.f64 (tan.f64 eps) eps))
cost-diff	6912	(-.f64 (.f64 (neg.f64 eps) (-.f64 (tan.f64 eps) eps)) (.f64 (-.f64 (tan.f64 eps) eps) (neg.f64 (sin.f64 eps))))
cost-diff	13376	(/.f64 (-.f64 (.f64 (neg.f64 eps) (-.f64 (tan.f64 eps) eps)) (.f64 (-.f64 (tan.f64 eps) eps) (neg.f64 (sin.f64 eps)))) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 2 binary64)))
cost-diff	0	(-.f64 (tan.f64 eps) eps)
cost-diff	0	(sin.f64 eps)
cost-diff	0	(/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))
cost-diff	7296	(-.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 (tan.f64 eps) eps)))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))))
cost-diff	0	(.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) eps)
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 (/ (- eps (sin eps)) (- eps (tan eps))) (+.f64 (.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	128	(+.f64 (.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: 0 (0.0ms)

Iter	Nodes	Cost
0	37	286
0	64	269
1	118	264
2	265	260
3	907	250
4	3018	250
5	7400	250
0	8154	248

Stop Event

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

Calls

Call 1

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

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

localize756.0ms (4.6%)

Memory

-11.3MiB live, 665.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 2 binary64))
accuracy	8.885473876707598	(-.f64 (.f64 (neg.f64 eps) (-.f64 (tan.f64 eps) eps)) (.f64 (-.f64 (tan.f64 eps) eps) (neg.f64 (sin.f64 eps))))
accuracy	19.260891161428294	(-.f64 (tan.f64 eps) eps)
accuracy	53.2588252534046	(/.f64 (-.f64 (.f64 (neg.f64 eps) (-.f64 (tan.f64 eps) eps)) (.f64 (-.f64 (tan.f64 eps) eps) (neg.f64 (sin.f64 eps)))) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 2 binary64)))
accuracy	11.308246672213047	(/.f64 eps (-.f64 (tan.f64 eps) eps))
accuracy	11.312152922213047	(/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))
accuracy	19.260891161428294	(-.f64 (tan.f64 eps) eps)
accuracy	61.70109829946451	(-.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 (tan.f64 eps) eps)))
accuracy	0.0078125	(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
accuracy	0.015625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))))
accuracy	0.1603664045430892	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))))
accuracy	0.0	(*.f64 eps eps)
accuracy	0.16015625	(.f64 (.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps)
accuracy	0.18359375	(.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) eps)
accuracy	0.24149421379981184	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (+.f64 (.f64 (.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64)))

Samples

457.0ms	84×	3	valid
170.0ms	101×	2	valid
44.0ms	68×	1	valid
1.0ms	3×	0	valid

Compiler

Compiled 556 to 76 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 622.0ms

ival-tan: 210.0ms (33.8% of total)

adjust: 143.0ms (23% of total)

ival-sin: 135.0ms (21.7% of total)

const: 37.0ms (5.9% of total)

ival-mult: 31.0ms (5% of total)

ival-div: 22.0ms (3.5% of total)

ival-sub: 19.0ms (3.1% of total)

ival-add: 11.0ms (1.8% of total)

ival-pow2: 8.0ms (1.3% of total)

ival-neg: 5.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.1%)

Memory

6.6MiB live, 43.8MiB allocated

Counts

20 → 107

Calls

Call 1

Inputs
(+.f64 (.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 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64)))
(.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)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))))
#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
(fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(-.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 (tan.f64 eps) eps)))
(/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))
(sin.f64 eps)
(-.f64 (tan.f64 eps) eps)
(/.f64 (-.f64 (.f64 (neg.f64 eps) (-.f64 (tan.f64 eps) eps)) (.f64 (-.f64 (tan.f64 eps) eps) (neg.f64 (sin.f64 eps)))) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 2 binary64)))
(-.f64 (.f64 (neg.f64 eps) (-.f64 (tan.f64 eps) eps)) (.f64 (-.f64 (tan.f64 eps) eps) (neg.f64 (sin.f64 eps))))
(*.f64 (neg.f64 eps) (-.f64 (tan.f64 eps) eps))
(*.f64 (-.f64 (tan.f64 eps) eps) (neg.f64 (sin.f64 eps)))
(*.f64 eps eps)
(fma.f64 (*.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64))
(/.f64 eps (-.f64 (tan.f64 eps) eps))
(pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 2 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))))
(* 9/40 eps)
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
-2
(- (* -9/10 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2)
(/ 3 (pow eps 2))
(/ (+ 3 (* -17/10 (pow eps 2))) (pow eps 2))
(/ (+ 3 (* (pow eps 2) (- (* 307/1400 (pow eps 2)) 17/10))) (pow eps 2))
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 307/1400 (* -1247/126000 (pow eps 2)))) 17/10))) (pow eps 2))
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) (+ 1/3 (* 2/15 (pow eps 2))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
0
(* -1/18 (pow eps 6))
(* (pow eps 6) (- (* -7/360 (pow eps 2)) 1/18))
(* (pow eps 6) (- (* (pow eps 2) (- (* -601/75600 (pow eps 2)) 7/360)) 1/18))
(* -1/3 (pow eps 4))
(* (pow eps 4) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 4) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(* (pow eps 4) (- (* -7/90 (pow eps 2)) 1/3))
(* (pow eps 4) (- (* (pow eps 2) (- (* -29/840 (pow eps 2)) 7/90)) 1/3))
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -451/32400 (pow eps 2)) 29/840)) 7/90)) 1/3))
(pow eps 2)
-27/2800
(- (* 27/112000 (pow eps 2)) 27/2800)
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 2))
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 2))
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 2))
(* 1/9 (pow eps 6))
(* (pow eps 6) (+ 1/9 (* 4/45 (pow eps 2))))
(* (pow eps 6) (+ 1/9 (* (pow eps 2) (+ 4/45 (* 254/4725 (pow eps 2))))))
(* (pow eps 6) (+ 1/9 (* (pow eps 2) (+ 4/45 (* (pow eps 2) (+ 254/4725 (* 176/6075 (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)))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* -27/2800 (pow eps 3))
(* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* 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))))))
(/ 112000/27 (pow eps 6))
(/ (+ 112000/27 (* 4480000/27 (/ 1 (pow eps 2)))) (pow eps 6))
(/ (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (pow eps 6))
(/ (- (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (* 25984000000/729 (/ 1 (pow eps 6)))) (pow eps 6))
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (/ (sin eps) (* eps (cos eps))) (+ (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))) (+ (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))))
(* -1 (/ (sin eps) eps))
(/ (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)
(/ (- (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)
(/ (- (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 4) (* (pow eps 3) (pow (cos eps) 3))))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2))))) eps)
(sin eps)
(* -1 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (+ (sin eps) (* -2 (/ (sin eps) (cos eps)))))) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (+ (sin eps) (* -2 (/ (sin eps) (cos eps)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (sin eps) (cos eps))) (+ (sin eps) (* -2 (/ (sin eps) (cos eps)))))) (pow (cos eps) 2))) (pow eps 3))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (+ (sin eps) (* -2 (/ (sin eps) (cos eps)))))) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))
(* (pow eps 2) (- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (/ (sin eps) eps)))
(* (pow eps 2) (- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (/ (sin eps) eps)))
(* (pow eps 2) (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (sin eps))
(* eps (+ (sin eps) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))))
(* 27/112000 (pow eps 2))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
-1
(- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)
(- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps)))))
(- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(* (pow eps 2) (+ 1 (* -2 (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 2) (+ 1 (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos 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 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (cos eps))))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) eps))) (/ (sin eps) (cos eps))) eps)))
(* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps))
(* -1 (/ (+ (sin eps) (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (cos eps))) eps))) eps))
(* -1 (/ (+ (sin eps) (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 4) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 2)))) eps)) (/ (pow (sin eps) 2) (cos eps))) eps))) eps))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(+ 1 (* -1 (/ (- (/ (sin eps) (cos eps)) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps))))) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (/ (pow (sin eps) 2) (cos eps)) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps))))) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (+ (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))))) (* eps (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps))))) eps)))
(* (pow eps 2) (+ 1 (* -1 (/ (- (/ (sin eps) (cos eps)) (* -1 (sin eps))) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (sin eps) (cos eps))) (* -1 (sin eps))) eps))))
(* -1 (* eps (+ (* -1 (sin eps)) (/ (pow (sin eps) 2) (* eps (cos eps))))))
(- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (* -1 (/ (sin eps) (cos eps)))) eps)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (* -1 (/ (sin eps) (cos eps)))) eps)) 1)
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* 2 (/ (sin eps) (cos eps)))) eps))))

Calls

3 calls:

Time

Variable

Point

Expression

11.0ms

eps

inf

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

6.0ms

eps

-inf

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

3.0ms

eps

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

simplify191.0ms (1.2%)

Memory

1.0MiB live, 241.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	502	2231
1	1462	2145
2	4598	2104
0	8222	2014

Stop Event

1×	iter limit
1×	node limit

Counts

107 → 106

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))))
(* 9/40 eps)
(* eps (+ 9/40 (* -27/2800 (pow eps 2))))
-2
(- (* -9/10 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2)
(/ 3 (pow eps 2))
(/ (+ 3 (* -17/10 (pow eps 2))) (pow eps 2))
(/ (+ 3 (* (pow eps 2) (- (* 307/1400 (pow eps 2)) 17/10))) (pow eps 2))
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 307/1400 (* -1247/126000 (pow eps 2)))) 17/10))) (pow eps 2))
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) (+ 1/3 (* 2/15 (pow eps 2))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
0
(* -1/18 (pow eps 6))
(* (pow eps 6) (- (* -7/360 (pow eps 2)) 1/18))
(* (pow eps 6) (- (* (pow eps 2) (- (* -601/75600 (pow eps 2)) 7/360)) 1/18))
(* -1/3 (pow eps 4))
(* (pow eps 4) (- (* -2/15 (pow eps 2)) 1/3))
(* (pow eps 4) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(* (pow eps 4) (- (* -7/90 (pow eps 2)) 1/3))
(* (pow eps 4) (- (* (pow eps 2) (- (* -29/840 (pow eps 2)) 7/90)) 1/3))
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -451/32400 (pow eps 2)) 29/840)) 7/90)) 1/3))
(pow eps 2)
-27/2800
(- (* 27/112000 (pow eps 2)) 27/2800)
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 2))
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 2))
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 2))
(* 1/9 (pow eps 6))
(* (pow eps 6) (+ 1/9 (* 4/45 (pow eps 2))))
(* (pow eps 6) (+ 1/9 (* (pow eps 2) (+ 4/45 (* 254/4725 (pow eps 2))))))
(* (pow eps 6) (+ 1/9 (* (pow eps 2) (+ 4/45 (* (pow eps 2) (+ 254/4725 (* 176/6075 (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)))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(* -27/2800 (pow eps 3))
(* (pow eps 3) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(* 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))))))
(/ 112000/27 (pow eps 6))
(/ (+ 112000/27 (* 4480000/27 (/ 1 (pow eps 2)))) (pow eps 6))
(/ (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (pow eps 6))
(/ (- (+ 112000/27 (+ (* 4480000/27 (/ 1 (pow eps 2))) (/ 224000000/81 (pow eps 4)))) (* 25984000000/729 (/ 1 (pow eps 6)))) (pow eps 6))
(+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (/ (sin eps) (* eps (cos eps))) (+ (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3))))))) (+ (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 2)))))
(* -1 (/ (sin eps) eps))
(/ (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) eps)
(/ (- (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2))))) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps)
(/ (- (+ (* -1 (sin eps)) (* -1 (/ (pow (sin eps) 4) (* (pow eps 3) (pow (cos eps) 3))))) (+ (/ (pow (sin eps) 2) (* eps (cos eps))) (/ (pow (sin eps) 3) (* (pow eps 2) (pow (cos eps) 2))))) eps)
(sin eps)
(* -1 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) eps)))
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (+ (sin eps) (* -2 (/ (sin eps) (cos eps)))))) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))
(- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (+ (sin eps) (* -2 (/ (sin eps) (cos eps)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (/ (sin eps) (cos eps))) (+ (sin eps) (* -2 (/ (sin eps) (cos eps)))))) (pow (cos eps) 2))) (pow eps 3))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (/ (sin eps) (cos eps))) (+ (sin eps) (* -2 (/ (sin eps) (cos eps)))))) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) eps) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))
(* (pow eps 2) (- (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))) (/ (sin eps) eps)))
(* (pow eps 2) (- (+ 1 (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (/ (sin eps) eps)))
(* (pow eps 2) (+ 1 (* -1 (/ (sin eps) (* eps (cos eps))))))
(* eps (sin eps))
(* eps (+ (sin eps) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))))
(* 27/112000 (pow eps 2))
(* (pow eps 2) (- 27/112000 (* 27/2800 (/ 1 (pow eps 2)))))
-1
(- (* -1 (/ (sin eps) (* eps (cos eps)))) 1)
(- (* -1 (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))) (+ 1 (/ (sin eps) (* eps (cos eps)))))
(- (* -1 (/ (pow (sin eps) 3) (* (pow eps 3) (pow (cos eps) 3)))) (+ 1 (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(* (pow eps 2) (+ 1 (* -2 (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 2) (+ 1 (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos 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 (* -1 (/ (- (+ (sin eps) (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (* eps (cos eps))))) (/ (sin eps) (cos eps))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (+ (* -1 (/ (pow (sin eps) 2) (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) eps))) (/ (sin eps) (cos eps))) eps)))
(* -1 (/ (+ (sin eps) (/ (pow (sin eps) 2) (* eps (cos eps)))) eps))
(* -1 (/ (+ (sin eps) (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 2)))) (/ (pow (sin eps) 2) (cos eps))) eps))) eps))
(* -1 (/ (+ (sin eps) (* -1 (/ (- (* -1 (/ (- (/ (pow (sin eps) 4) (* eps (pow (cos eps) 3))) (* -1 (/ (pow (sin eps) 3) (pow (cos eps) 2)))) eps)) (/ (pow (sin eps) 2) (cos eps))) eps))) eps))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(+ 1 (* -1 (/ (- (/ (sin eps) (cos eps)) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps))))) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (/ (pow (sin eps) 2) (cos eps)) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps))))) eps)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (+ (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))))) (* eps (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps))))) eps)))
(* (pow eps 2) (+ 1 (* -1 (/ (- (/ (sin eps) (cos eps)) (* -1 (sin eps))) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (sin eps) (cos eps))) (* -1 (sin eps))) eps))))
(* -1 (* eps (+ (* -1 (sin eps)) (/ (pow (sin eps) 2) (* eps (cos eps))))))
(- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (* -1 (/ (sin eps) (cos eps)))) eps)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (* -1 (/ (sin eps) (cos eps)))) eps)) 1)
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* 2 (/ (sin eps) (cos eps)))) eps))))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
(* 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)
(* 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)
-2
#s(literal -2 binary64)
(- (* -9/10 (pow eps 2)) 2)
(fma.f64 #s(literal -9/10 binary64) (*.f64 eps eps) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* -513/1400 (pow eps 2)) 9/10)) 2)
(fma.f64 (fma.f64 #s(literal -513/1400 binary64) (.f64 eps eps) #s(literal -9/10 binary64)) (.f64 eps eps) #s(literal -2 binary64))
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -297/2000 (pow eps 2)) 513/1400)) 9/10)) 2)
(fma.f64 (fma.f64 (fma.f64 #s(literal -297/2000 binary64) (.f64 eps eps) #s(literal -513/1400 binary64)) (.f64 eps eps) #s(literal -9/10 binary64)) (*.f64 eps eps) #s(literal -2 binary64))
(/ 3 (pow eps 2))
(/.f64 #s(literal 3 binary64) (*.f64 eps eps))
(/ (+ 3 (* -17/10 (pow eps 2))) (pow eps 2))
(/.f64 (/.f64 (fma.f64 #s(literal -17/10 binary64) (*.f64 eps eps) #s(literal 3 binary64)) eps) eps)
(/ (+ 3 (* (pow eps 2) (- (* 307/1400 (pow eps 2)) 17/10))) (pow eps 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 307/1400 binary64) (.f64 eps eps) #s(literal -17/10 binary64)) (.f64 eps eps) #s(literal 3 binary64)) eps) eps)
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (+ 307/1400 (* -1247/126000 (pow eps 2)))) 17/10))) (pow eps 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1247/126000 binary64) (.f64 eps eps) #s(literal 307/1400 binary64)) (.f64 eps eps) #s(literal -17/10 binary64)) (*.f64 eps eps) #s(literal 3 binary64)) eps) eps)
eps
(* eps (+ 1 (* -1/6 (pow eps 2))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/6 binary64) eps)
(* eps (+ 1 (* (pow eps 2) (- (* 1/120 (pow eps 2)) 1/6))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 eps eps) #s(literal -1/6 binary64)) eps)
(* eps (+ 1 (* (pow eps 2) (- (* (pow eps 2) (+ 1/120 (* -1/5040 (pow eps 2)))) 1/6))))
(fma.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 eps eps) #s(literal 1/120 binary64)) (.f64 eps eps) #s(literal -1/6 binary64)) eps)
(* 1/3 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))
(.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/2835 binary64) (.f64 eps eps) #s(literal 17/315 binary64)) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
0
#s(literal 0 binary64)
(* -1/18 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/18 binary64))
(* (pow eps 6) (- (* -7/360 (pow eps 2)) 1/18))
(.f64 (fma.f64 #s(literal -7/360 binary64) (.f64 eps eps) #s(literal -1/18 binary64)) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (* (pow eps 2) (- (* -601/75600 (pow eps 2)) 7/360)) 1/18))
(.f64 (fma.f64 (fma.f64 #s(literal -601/75600 binary64) (.f64 eps eps) #s(literal -7/360 binary64)) (*.f64 eps eps) #s(literal -1/18 binary64)) (pow.f64 eps #s(literal 6 binary64)))
(* -1/3 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/3 binary64))
(* (pow eps 4) (- (* -2/15 (pow eps 2)) 1/3))
(.f64 (fma.f64 #s(literal -2/15 binary64) (.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (* (pow eps 2) (- (* -17/315 (pow eps 2)) 2/15)) 1/3))
(.f64 (fma.f64 (fma.f64 #s(literal -17/315 binary64) (.f64 eps eps) #s(literal -2/15 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -62/2835 (pow eps 2)) 17/315)) 2/15)) 1/3))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -62/2835 binary64) (.f64 eps eps) #s(literal -17/315 binary64)) (.f64 eps eps) #s(literal -2/15 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (* -7/90 (pow eps 2)) 1/3))
(.f64 (fma.f64 #s(literal -7/90 binary64) (.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (* (pow eps 2) (- (* -29/840 (pow eps 2)) 7/90)) 1/3))
(.f64 (fma.f64 (fma.f64 #s(literal -29/840 binary64) (.f64 eps eps) #s(literal -7/90 binary64)) (*.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (* (pow eps 2) (- (* (pow eps 2) (- (* -451/32400 (pow eps 2)) 29/840)) 7/90)) 1/3))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -451/32400 binary64) (.f64 eps eps) #s(literal -29/840 binary64)) (.f64 eps eps) #s(literal -7/90 binary64)) (.f64 eps eps) #s(literal -1/3 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(pow eps 2)
(*.f64 eps eps)
-27/2800
#s(literal -27/2800 binary64)
(- (* 27/112000 (pow eps 2)) 27/2800)
(fma.f64 #s(literal 27/112000 binary64) (*.f64 eps eps) #s(literal -27/2800 binary64))
(/ (+ 3 (* -6/5 (pow eps 2))) (pow eps 2))
(/.f64 (/.f64 (fma.f64 #s(literal -6/5 binary64) (*.f64 eps eps) #s(literal 3 binary64)) eps) eps)
(/ (+ 3 (* (pow eps 2) (- (* -1/175 (pow eps 2)) 6/5))) (pow eps 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/175 binary64) (.f64 eps eps) #s(literal -6/5 binary64)) (.f64 eps eps) #s(literal 3 binary64)) eps) eps)
(/ (+ 3 (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7875 (pow eps 2)) 1/175)) 6/5))) (pow eps 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/7875 binary64) (.f64 eps eps) #s(literal -1/175 binary64)) (.f64 eps eps) #s(literal -6/5 binary64)) (*.f64 eps eps) #s(literal 3 binary64)) eps) eps)
(* 1/9 (pow eps 6))
(*.f64 #s(literal 1/9 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (+ 1/9 (* 4/45 (pow eps 2))))
(.f64 (fma.f64 #s(literal 4/45 binary64) (.f64 eps eps) #s(literal 1/9 binary64)) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (+ 1/9 (* (pow eps 2) (+ 4/45 (* 254/4725 (pow eps 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 254/4725 binary64) (.f64 eps eps) #s(literal 4/45 binary64)) (*.f64 eps eps) #s(literal 1/9 binary64)) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (+ 1/9 (* (pow eps 2) (+ 4/45 (* (pow eps 2) (+ 254/4725 (* 176/6075 (pow eps 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 176/6075 binary64) (.f64 eps eps) #s(literal 254/4725 binary64)) (.f64 eps eps) #s(literal 4/45 binary64)) (.f64 eps eps) #s(literal 1/9 binary64)) (pow.f64 eps #s(literal 6 binary64)))
(* -27/2800 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal -27/2800 binary64))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) 27/2800))
(.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (- (* 9/40 (/ 1 (pow eps 2))) (+ 27/2800 (/ 1/2 (pow eps 4)))))
(.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/40 binary64) (.f64 eps eps)) #s(literal 27/2800 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 4 binary64)))) (pow.f64 eps #s(literal 4 binary64)))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (* -1 (/ (sin eps) (* eps (cos eps)))))
(+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) 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 (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (*.f64 eps eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 3) (pow (cos eps) 2))))) (+ (* -1 (/ (sin eps) (* eps (cos eps)))) (* -1 (/ (* (sin eps) (- (* -1 (sin eps)) (* -1 (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps))))))
(+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (*.f64 eps eps)) (/.f64 (sin.f64 eps) (cos.f64 eps)) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps))) #s(literal 1 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)))
(* 27/112000 (pow eps 6))
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(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal -2 binary64) (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (fma.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal -2 binary64) (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) eps)) eps))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (+ (/ (* (pow (sin eps) 2) (- (/ (sin eps) (cos eps)) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))))) (* eps (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (/ (sin eps) (cos eps)) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps)) (/ (sin eps) (cos eps))) (+ (* -1 (sin eps)) (* 2 (/ (sin eps) (cos eps))))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal -2 binary64) (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (fma.f64 (.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (fma.f64 (.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal -2 binary64) (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))) (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps))) #s(literal 2 binary64) (fma.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal -2 binary64) (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (cos.f64 eps)) (fma.f64 (*.f64 (+.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal -2 binary64) (sin.f64 eps)) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (sin.f64 eps) (cos.f64 eps))) #s(literal 2 binary64) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))))))) eps)) eps))
(* (pow eps 2) (+ 1 (* -1 (/ (- (/ (sin eps) (cos eps)) (* -1 (sin eps))) eps))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) eps)) (.f64 eps eps))
(* (pow eps 2) (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))) (/ (sin eps) (cos eps))) (* -1 (sin eps))) eps))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (cos.f64 eps))) eps)) (.f64 eps eps))
(* -1 (* eps (+ (* -1 (sin eps)) (/ (pow (sin eps) 2) (* eps (cos eps))))))
(*.f64 (-.f64 (sin.f64 eps) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (cos.f64 eps))) eps)
(- (* -1 (/ (- (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2))) (* -1 (/ (sin eps) (cos eps)))) eps)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (/.f64 (sin.f64 eps) eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (sin eps) 3) (* eps (pow (cos eps) 3)))) (/ (pow (sin eps) 2) (pow (cos eps) 2))) eps)) (* -1 (/ (sin eps) (cos eps)))) eps)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) eps) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) eps))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* 2 (/ (sin eps) (cos eps)))) eps))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 2 binary64) (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps)) (.f64 eps eps))

rewrite308.0ms (1.9%)

Memory

-18.2MiB live, 294.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	238
0	64	211
1	285	206
2	2355	206
0	8225	204

Stop Event

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

Counts

20 → 871

Calls

Call 1

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

Outputs
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64)) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps)))) (fma.f64 (pow.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 (pow.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps)))) (fma.f64 (pow.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) #s(literal -1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps)))) (fma.f64 (pow.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/8 binary64))))
(fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64))
(fma.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(fma.f64 (.f64 eps eps) (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) #s(literal -1/2 binary64))
(fma.f64 eps (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) #s(literal -1/2 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps) #s(literal 2 binary64)) (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps #s(literal 1/2 binary64))))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps))
(+.f64 (.f64 (.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 (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps #s(literal -1/2 binary64)))
(.f64 (.f64 (fma.f64 (*.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) eps) eps)
(.f64 (fma.f64 (.f64 eps eps) #s(literal -27/2800 binary64) #s(literal 9/40 binary64)) (*.f64 eps eps))
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(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)))) (neg.f64 (*.f64 (fma.f64 eps (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps))))
(/.f64 (neg.f64 (pow.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (pow.f64 (fma.f64 eps (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (-.f64 (tan.f64 eps) eps)) (+.f64 (tan.f64 eps) eps))
(/.f64 (*.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (-.f64 (tan.f64 eps) eps)) (fma.f64 eps (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps))) (+.f64 (tan.f64 eps) eps))
(/.f64 (*.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 eps (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))))
(/.f64 (pow.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (*.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (+.f64 (tan.f64 eps) eps) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps)) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (*.f64 (+.f64 (tan.f64 eps) eps) (fma.f64 eps (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (-.f64 (pow.f64 (tan.f64 eps) #s(literal 2 binary64)) (.f64 eps eps))) (*.f64 (fma.f64 eps (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) (+.f64 (tan.f64 eps) eps)))
(/.f64 (pow.f64 (-.f64 (pow.f64 (tan.f64 eps) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 eps (+.f64 (tan.f64 eps) eps) (pow.f64 (tan.f64 eps) #s(literal 2 binary64))) #s(literal 2 binary64)))
(fma.f64 (-.f64 (tan.f64 eps) eps) (tan.f64 eps) (*.f64 (neg.f64 eps) (-.f64 (tan.f64 eps) eps)))
(fma.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps) (*.f64 (neg.f64 eps) (-.f64 (tan.f64 eps) eps)))
(+.f64 (.f64 (tan.f64 eps) (-.f64 (tan.f64 eps) eps)) (.f64 (neg.f64 eps) (-.f64 (tan.f64 eps) eps)))
(+.f64 (.f64 (-.f64 (tan.f64 eps) eps) (tan.f64 eps)) (.f64 (neg.f64 eps) (-.f64 (tan.f64 eps) eps)))
(exp.f64 (+.f64 (log.f64 (-.f64 (tan.f64 eps) eps)) (log.f64 (-.f64 (tan.f64 eps) eps))))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (tan.f64 eps) eps)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 eps) eps)) #s(literal 2 binary64)))

eval91.0ms (0.6%)

Memory: 18.5MiB live, 208.9MiB allocated
Compiler: Compiled 32 414 to 3 366 computations (89.6% saved)

prune13.0ms (0.1%)

Memory

16.4MiB live, 56.1MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	933	1	934
Fresh	0	0	0
Picked	1	3	4
Done	0	6	6
Total	934	10	944

Accuracy

100.0%

Counts

944 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.2%	(/.f64 (-.f64 (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)) (.f64 (-.f64 (tan.f64 eps) eps) eps)) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 2 binary64)))
✓	1.7%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
✓	1.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)))
✓	1.7%	(-.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 (tan.f64 eps) eps)))
✓	99.7%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.6%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.5%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
✓	99.7%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))))
✓	99.6%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (+.f64 (.f64 (.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64)))
✓	99.1%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 181 to 111 computations (38.7% saved)

simplify151.0ms (0.9%)

Memory

-16.6MiB live, 156.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (tan.f64 eps) eps)
cost-diff	0	(*.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps))
cost-diff	6912	(-.f64 (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)) (.f64 (-.f64 (tan.f64 eps) eps) eps))
cost-diff	13376	(/.f64 (-.f64 (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)) (.f64 (-.f64 (tan.f64 eps) eps) eps)) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 2 binary64)))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	64
0	18	54
1	33	54
2	95	49
3	293	47
4	867	47
5	4712	47
0	8137	47

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)) (.f64 (-.f64 (tan.f64 eps) eps) eps)) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 2 binary64)))
(-.f64 (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)) (.f64 (-.f64 (tan.f64 eps) eps) eps))
(*.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps))
(-.f64 (tan.f64 eps) eps)
(tan.f64 eps)
eps
(sin.f64 eps)
(*.f64 (-.f64 (tan.f64 eps) eps) eps)
(pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(/.f64 (-.f64 (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)) (.f64 (-.f64 (tan.f64 eps) eps) eps)) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 2 binary64)))
(/.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps))
(-.f64 (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)) (.f64 (-.f64 (tan.f64 eps) eps) eps))
(*.f64 (-.f64 (sin.f64 eps) eps) (-.f64 (tan.f64 eps) eps))
(*.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps))
(*.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps))
(-.f64 (tan.f64 eps) eps)
(tan.f64 eps)
eps
(sin.f64 eps)
(*.f64 (-.f64 (tan.f64 eps) eps) eps)
(pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 2 binary64))
#s(literal 2 binary64)

localize381.0ms (2.3%)

Memory

14.1MiB live, 365.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 2 binary64))
accuracy	8.885473876707598	(-.f64 (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)) (.f64 (-.f64 (tan.f64 eps) eps) eps))
accuracy	19.260891161428294	(-.f64 (tan.f64 eps) eps)
accuracy	53.2588252534046	(/.f64 (-.f64 (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)) (.f64 (-.f64 (tan.f64 eps) eps) eps)) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 2 binary64)))

Samples

220.0ms	101×	3	valid
75.0ms	84×	2	valid
28.0ms	68×	1	valid
0.0ms	3×	0	valid

Compiler

Compiled 130 to 22 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 292.0ms

ival-tan: 171.0ms (58.5% of total)

ival-sin: 65.0ms (22.2% of total)

ival-sub: 21.0ms (7.2% of total)

adjust: 12.0ms (4.1% of total)

ival-mult: 9.0ms (3.1% of total)

ival-pow2: 8.0ms (2.7% of total)

ival-div: 4.0ms (1.4% 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

8.6MiB live, 8.6MiB allocated

Counts

5 → 41

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)) (.f64 (-.f64 (tan.f64 eps) eps) eps)) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 2 binary64)))
(-.f64 (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)) (.f64 (-.f64 (tan.f64 eps) eps) eps))
(*.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps))
(-.f64 (tan.f64 eps) eps)
(pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 2 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)
0
(* -1/18 (pow eps 6))
(* (pow eps 6) (- (* -7/360 (pow eps 2)) 1/18))
(* (pow eps 6) (- (* (pow eps 2) (- (* -601/75600 (pow eps 2)) 7/360)) 1/18))
(* 1/3 (pow eps 4))
(* (pow eps 4) (+ 1/3 (* 7/90 (pow eps 2))))
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (+ 7/90 (* 29/840 (pow eps 2))))))
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (+ 7/90 (* (pow eps 2) (+ 29/840 (* 451/32400 (pow eps 2))))))))
(* 1/3 (pow eps 3))
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
(* 1/9 (pow eps 6))
(* (pow eps 6) (+ 1/9 (* 4/45 (pow eps 2))))
(* (pow eps 6) (+ 1/9 (* (pow eps 2) (+ 4/45 (* 254/4725 (pow eps 2))))))
(* (pow eps 6) (+ 1/9 (* (pow eps 2) (+ 4/45 (* (pow eps 2) (+ 254/4725 (* 176/6075 (pow eps 2))))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (sin eps)) (+ (* -2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (sin eps)) (+ (* -2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (+ (* -2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) (pow eps 3))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (sin eps)) (+ (* -2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))
(pow eps 2)
(* (pow eps 2) (- (+ 1 (* -1 (/ (sin eps) eps))) (/ (sin eps) (* eps (cos eps)))))
(* (pow eps 2) (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (/ (sin eps) (* eps (cos eps)))))
(* -1 (* eps (sin eps)))
(* eps (+ (* -1 (sin eps)) (/ (pow (sin eps) 2) (* eps (cos eps)))))
(* -1 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* (pow eps 2) (+ 1 (* -2 (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 2) (+ 1 (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(+ 1 (* -1 (/ (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (/ (pow (sin eps) 2) (cos eps)) (+ (* 2 (/ (* (sin eps) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* 2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* 2 (/ (* (sin eps) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (+ (/ (* (pow (sin eps) 2) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))))) (* eps (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) eps)))
(* (pow eps 2) (+ 1 (* -1 (/ (- (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) (* -1 (/ (sin eps) (cos eps)))) eps))))
(* -1 (* eps (+ (sin eps) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* 2 (/ (sin eps) (cos eps)))) eps))))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

eps

inf

((/ (- (* (- (tan eps) eps) (sin eps)) (* (- (tan eps) eps) eps)) (pow (- (tan eps) eps) 2)) (- (* (- (tan eps) eps) (sin eps)) (* (- (tan eps) eps) eps)) (* (- (tan eps) eps) (sin eps)) (- (tan eps) eps) (pow (- (tan eps) eps) 2))

2.0ms

eps

-inf

((/ (- (* (- (tan eps) eps) (sin eps)) (* (- (tan eps) eps) eps)) (pow (- (tan eps) eps) 2)) (- (* (- (tan eps) eps) (sin eps)) (* (- (tan eps) eps) eps)) (* (- (tan eps) eps) (sin eps)) (- (tan eps) eps) (pow (- (tan eps) eps) 2))

1.0ms

eps

((/ (- (* (- (tan eps) eps) (sin eps)) (* (- (tan eps) eps) eps)) (pow (- (tan eps) eps) 2)) (- (* (- (tan eps) eps) (sin eps)) (* (- (tan eps) eps) eps)) (* (- (tan eps) eps) (sin eps)) (- (tan eps) eps) (pow (- (tan eps) eps) 2))

simplify177.0ms (1.1%)

Memory

-14.9MiB live, 191.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	229	909
1	720	866
2	2409	797
0	8557	757

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 41

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)
0
(* -1/18 (pow eps 6))
(* (pow eps 6) (- (* -7/360 (pow eps 2)) 1/18))
(* (pow eps 6) (- (* (pow eps 2) (- (* -601/75600 (pow eps 2)) 7/360)) 1/18))
(* 1/3 (pow eps 4))
(* (pow eps 4) (+ 1/3 (* 7/90 (pow eps 2))))
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (+ 7/90 (* 29/840 (pow eps 2))))))
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (+ 7/90 (* (pow eps 2) (+ 29/840 (* 451/32400 (pow eps 2))))))))
(* 1/3 (pow eps 3))
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
(* 1/9 (pow eps 6))
(* (pow eps 6) (+ 1/9 (* 4/45 (pow eps 2))))
(* (pow eps 6) (+ 1/9 (* (pow eps 2) (+ 4/45 (* 254/4725 (pow eps 2))))))
(* (pow eps 6) (+ 1/9 (* (pow eps 2) (+ 4/45 (* (pow eps 2) (+ 254/4725 (* 176/6075 (pow eps 2))))))))
1
(- (+ 1 (* -1 (/ (sin eps) eps))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (/ (sin eps) (* eps (cos eps)))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (sin eps)) (+ (* -2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (sin eps)) (+ (* -2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (+ (* -2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) (pow eps 3))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (sin eps)) (+ (* -2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))
(pow eps 2)
(* (pow eps 2) (- (+ 1 (* -1 (/ (sin eps) eps))) (/ (sin eps) (* eps (cos eps)))))
(* (pow eps 2) (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (/ (sin eps) (* eps (cos eps)))))
(* -1 (* eps (sin eps)))
(* eps (+ (* -1 (sin eps)) (/ (pow (sin eps) 2) (* eps (cos eps)))))
(* -1 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(* (pow eps 2) (+ 1 (* -2 (/ (sin eps) (* eps (cos eps))))))
(* (pow eps 2) (+ 1 (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(+ 1 (* -1 (/ (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (/ (pow (sin eps) 2) (cos eps)) (+ (* 2 (/ (* (sin eps) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) eps)))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* 2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* 2 (/ (* (sin eps) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (+ (/ (* (pow (sin eps) 2) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))))) (* eps (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) eps)))
(* (pow eps 2) (+ 1 (* -1 (/ (- (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) (* -1 (/ (sin eps) (cos eps)))) eps))))
(* -1 (* eps (+ (sin eps) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))))))
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* 2 (/ (sin eps) (cos eps)))) eps))))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 9/40 (pow eps 2)) 1/2)
(fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* -27/2800 (pow eps 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64))
(- (* (pow eps 2) (+ 9/40 (* (pow eps 2) (- (* 27/112000 (pow eps 2)) 27/2800)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64))
0
#s(literal 0 binary64)
(* -1/18 (pow eps 6))
(*.f64 (pow.f64 eps #s(literal 6 binary64)) #s(literal -1/18 binary64))
(* (pow eps 6) (- (* -7/360 (pow eps 2)) 1/18))
(.f64 (fma.f64 #s(literal -7/360 binary64) (.f64 eps eps) #s(literal -1/18 binary64)) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (- (* (pow eps 2) (- (* -601/75600 (pow eps 2)) 7/360)) 1/18))
(.f64 (fma.f64 (fma.f64 #s(literal -601/75600 binary64) (.f64 eps eps) #s(literal -7/360 binary64)) (*.f64 eps eps) #s(literal -1/18 binary64)) (pow.f64 eps #s(literal 6 binary64)))
(* 1/3 (pow eps 4))
(*.f64 (pow.f64 eps #s(literal 4 binary64)) #s(literal 1/3 binary64))
(* (pow eps 4) (+ 1/3 (* 7/90 (pow eps 2))))
(.f64 (fma.f64 #s(literal 7/90 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (+ 7/90 (* 29/840 (pow eps 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 29/840 binary64) (.f64 eps eps) #s(literal 7/90 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(* (pow eps 4) (+ 1/3 (* (pow eps 2) (+ 7/90 (* (pow eps 2) (+ 29/840 (* 451/32400 (pow eps 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 451/32400 binary64) (.f64 eps eps) #s(literal 29/840 binary64)) (.f64 eps eps) #s(literal 7/90 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 4 binary64)))
(* 1/3 (pow eps 3))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow eps 3) (+ 1/3 (* 2/15 (pow eps 2))))
(.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* 17/315 (pow eps 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 eps eps) #s(literal 2/15 binary64)) (*.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* (pow eps 3) (+ 1/3 (* (pow eps 2) (+ 2/15 (* (pow eps 2) (+ 17/315 (* 62/2835 (pow eps 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 62/2835 binary64) (.f64 eps eps) #s(literal 17/315 binary64)) (.f64 eps eps) #s(literal 2/15 binary64)) (.f64 eps eps) #s(literal 1/3 binary64)) (pow.f64 eps #s(literal 3 binary64)))
(* 1/9 (pow eps 6))
(*.f64 #s(literal 1/9 binary64) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (+ 1/9 (* 4/45 (pow eps 2))))
(.f64 (fma.f64 #s(literal 4/45 binary64) (.f64 eps eps) #s(literal 1/9 binary64)) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (+ 1/9 (* (pow eps 2) (+ 4/45 (* 254/4725 (pow eps 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 254/4725 binary64) (.f64 eps eps) #s(literal 4/45 binary64)) (*.f64 eps eps) #s(literal 1/9 binary64)) (pow.f64 eps #s(literal 6 binary64)))
(* (pow eps 6) (+ 1/9 (* (pow eps 2) (+ 4/45 (* (pow eps 2) (+ 254/4725 (* 176/6075 (pow eps 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 176/6075 binary64) (.f64 eps eps) #s(literal 254/4725 binary64)) (.f64 eps eps) #s(literal 4/45 binary64)) (.f64 eps eps) #s(literal 1/9 binary64)) (pow.f64 eps #s(literal 6 binary64)))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ (sin eps) eps))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (/ (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)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (sin eps)) (+ (* -2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (cos.f64 eps))) eps)) (fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) eps) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (cos.f64 eps)) #s(literal -2 binary64) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 eps))))
(- (+ 1 (+ (* -1 (/ (sin eps) eps)) (+ (* -1 (/ (+ (* -2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* -2 (/ (* (sin eps) (- (* -1 (sin eps)) (+ (* -2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (cos eps))) (/ (* (pow (sin eps) 2) (- (* -1 (sin eps)) (+ (* -2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (pow (cos eps) 2))) (pow eps 3))) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps)))))) (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (+ (* -2 (/ (* (sin eps) (- (* -1 (sin eps)) (+ (* -2 (/ (sin eps) (cos eps))) (/ (sin eps) (cos eps))))) (* (pow eps 2) (cos eps)))) (+ (/ (sin eps) (* eps (cos eps))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2)))))))
(-.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (cos.f64 eps))) eps)) (/.f64 (.f64 (sin.f64 eps) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (cos.f64 eps)))) (cos.f64 eps)) #s(literal -2 binary64) (.f64 (sin.f64 eps) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))))) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) eps) (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (cos.f64 eps)) #s(literal -2 binary64) (/.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) (/.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (neg.f64 eps))))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (- (+ 1 (* -1 (/ (sin eps) eps))) (/ (sin eps) (* eps (cos eps)))))
(.f64 (fma.f64 (/.f64 (sin.f64 eps) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64)) (.f64 eps eps))
(* (pow eps 2) (- (+ 1 (+ (* -1 (/ (sin eps) eps)) (/ (pow (sin eps) 2) (* (pow eps 2) (cos eps))))) (/ (sin eps) (* eps (cos eps)))))
(.f64 eps (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)))) (neg.f64 eps)) eps eps))
(* -1 (* eps (sin eps)))
(*.f64 (neg.f64 eps) (sin.f64 eps))
(* eps (+ (* -1 (sin eps)) (/ (pow (sin eps) 2) (* eps (cos eps)))))
(*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (cos.f64 eps)) (sin.f64 eps)) eps)
(* -1 eps)
(neg.f64 eps)
(* eps (- (/ (sin eps) (* eps (cos eps))) 1))
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))
(* (pow eps 2) (+ 1 (* -2 (/ (sin eps) (* eps (cos eps))))))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (cos.f64 eps)) (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)) (.f64 eps eps))
(* (pow eps 2) (+ 1 (+ (* -2 (/ (sin eps) (* eps (cos eps)))) (/ (pow (sin eps) 2) (* (pow eps 2) (pow (cos eps) 2))))))
(*.f64 eps (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (cos.f64 eps)) (/.f64 (sin.f64 eps) eps) (/.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) eps) (pow.f64 (cos.f64 eps) #s(literal 2 binary64)))) eps eps))
(+ 1 (* -1 (/ (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (/ (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) (* -1 (/ (- (/ (pow (sin eps) 2) (cos eps)) (+ (* 2 (/ (* (sin eps) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (cos.f64 eps)))) eps)) eps))
(+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (- (+ (* 2 (/ (* (sin eps) (- (/ (pow (sin eps) 2) (cos eps)) (+ (* 2 (/ (* (sin eps) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2))))) (* eps (cos eps)))) (+ (/ (* (pow (sin eps) 2) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))))) (* eps (pow (cos eps) 2))) (/ (pow (sin eps) 2) (cos eps)))) (+ (* 2 (/ (* (sin eps) (- (sin eps) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps)))))) (cos eps))) (/ (pow (sin eps) 2) (pow (cos eps) 2)))) eps))) (+ (* -1 (/ (sin eps) (cos eps))) (* 2 (/ (sin eps) (cos eps))))) eps)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (/.f64 (fma.f64 (sin.f64 eps) (fma.f64 (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (cos.f64 eps)))) (.f64 (cos.f64 eps) eps)) #s(literal 2 binary64) (.f64 (sin.f64 eps) (/.f64 (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) eps)))) (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (sin.f64 eps) (/.f64 (sin.f64 eps) (cos.f64 eps))) (.f64 (*.f64 (sin.f64 eps) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (sin.f64 eps)) (cos.f64 eps))))) eps)) eps))
(* (pow eps 2) (+ 1 (* -1 (/ (- (sin eps) (* -1 (/ (sin eps) (cos eps)))) eps))))
(.f64 (fma.f64 (/.f64 (sin.f64 eps) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64)) (.f64 eps eps))
(* (pow eps 2) (+ 1 (* -1 (/ (- (+ (sin eps) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps))))) (* -1 (/ (sin eps) (cos eps)))) eps))))
(.f64 eps (fma.f64 (/.f64 (-.f64 (sin.f64 eps) (.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) (-.f64 (/.f64 (sin.f64 eps) eps) #s(literal 1 binary64)))) (neg.f64 eps)) eps eps))
(* -1 (* eps (+ (sin eps) (* -1 (/ (pow (sin eps) 2) (* eps (cos eps)))))))
(*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) eps) (cos.f64 eps)) (sin.f64 eps)) eps)
(* -1 (* eps (+ 1 (* -1 (/ (sin eps) (* eps (cos eps)))))))
(fma.f64 (/.f64 (/.f64 (sin.f64 eps) eps) (cos.f64 eps)) eps (neg.f64 eps))
(* (pow eps 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow (sin eps) 2) (* eps (pow (cos eps) 2)))) (* 2 (/ (sin eps) (cos eps)))) eps))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (sin.f64 eps) (cos.f64 eps)) #s(literal 2 binary64) (/.f64 (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (neg.f64 eps))) eps)) (.f64 eps eps))

rewrite164.0ms (1%)

Memory

-11.1MiB live, 184.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	52
0	18	42
1	74	42
2	589	35
0	8479	35

Stop Event

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

Counts

5 → 762

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)) (.f64 (-.f64 (tan.f64 eps) eps) eps)) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 2 binary64)))
(-.f64 (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)) (.f64 (-.f64 (tan.f64 eps) eps) eps))
(*.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps))
(-.f64 (tan.f64 eps) eps)
(pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 2 binary64))

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

eval115.0ms (0.7%)

Memory: 25.1MiB live, 97.9MiB allocated
Compiler: Compiled 37 889 to 3 103 computations (91.8% saved)

prune46.0ms (0.3%)

Memory

0.2MiB live, 44.9MiB allocated

Pruning

11 alts after pruning (1 fresh and 10 done)

	Pruned	Kept	Total
New	1 015	1	1 016
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	1 015	11	1 026

Accuracy

100.0%

Counts

1 026 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	1.2%	(/.f64 (-.f64 (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)) (.f64 (-.f64 (tan.f64 eps) eps) eps)) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal 2 binary64)))
	1.2%	(/.f64 (-.f64 (.f64 (-.f64 (tan.f64 eps) eps) (sin.f64 eps)) (.f64 (-.f64 (tan.f64 eps) eps) eps)) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (tan.f64 eps) eps) #s(literal -2 binary64))))
✓	1.7%	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))
✓	1.7%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (tan.f64 eps) eps) (-.f64 (sin.f64 eps) eps)))
✓	1.7%	(-.f64 (/.f64 (sin.f64 eps) (-.f64 (tan.f64 eps) eps)) (/.f64 eps (-.f64 (tan.f64 eps) eps)))
✓	99.7%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 (fma.f64 #s(literal 27/112000 binary64) (.f64 eps eps) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.6%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (fma.f64 #s(literal -27/2800 binary64) (.f64 eps eps) #s(literal 9/40 binary64)) (.f64 eps eps) #s(literal -1/2 binary64)))
✓	99.5%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))
✓	99.7%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (.f64 eps eps) #s(literal 27/112000 binary64) #s(literal -27/2800 binary64)) (.f64 eps eps) #s(literal 9/40 binary64)) (*.f64 eps eps) #s(literal -1/2 binary64)))))
✓	99.6%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) (+.f64 (.f64 (.f64 (fma.f64 #s(literal -27/2800 binary64) (*.f64 eps eps) #s(literal 9/40 binary64)) eps) eps) #s(literal -1/2 binary64)))
✓	99.1%	#s(approx (/ (- eps (sin eps)) (- eps (tan eps))) #s(literal -1/2 binary64))

Compiler

Compiled 445 to 186 computations (58.2% saved)

regimes40.0ms (0.2%)

Memory

-31.5MiB live, 7.8MiB allocated

Counts

13 → 1

Calls

Call 1

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

Outputs

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

Calls

2 calls:

36.0ms	eps
3.0ms	(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes4.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
99.6%	1	`eps`
99.6%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

3.9MiB live, 3.9MiB 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))) (fma.f64 (*.f64 eps eps) #s(literal 9/40 binary64) #s(literal -1/2 binary64)))

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`eps`
99.6%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes3.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes2.0ms (0%)

Memory

3.2MiB live, 3.2MiB 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
99.1%	1	`eps`
99.1%	1	`(/.f64 (-.f64 eps (sin.f64 eps)) (-.f64 eps (tan.f64 eps)))`

Compiler

Compiled 10 to 7 computations (30% saved)

simplify70.0ms (0.4%)

Memory

-10.9MiB live, 27.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	96
1	32	96
2	42	96
3	59	96
4	97	96
5	180	96
6	436	96
7	1548	96
8	5548	96

Stop Event

1×	node limit

Calls

Call 1

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

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

soundness486.0ms (2.9%)

Memory

7.2MiB live, 123.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	148	465
1	422	433
2	1323	408
3	5663	369
0	8263	341
0	28	163
0	47	163
1	224	161
2	1743	161
0	8579	161

Stop Event

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

Compiler

Compiled 162 to 68 computations (58% saved)

preprocess54.0ms (0.3%)

Memory: -3.2MiB live, 34.7MiB allocated
Remove: (abs eps)
Compiler: Compiled 276 to 104 computations (62.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

start0.0ms (0%)

analyze411.0ms (2.5%)

sample10.0s (60.8%)

explain555.0ms (3.4%)

preprocess62.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify19.0ms (0.1%)

localize243.0ms (1.5%)

series4.0ms (0%)

simplify217.0ms (1.3%)

rewrite273.0ms (1.7%)

eval33.0ms (0.2%)

prune32.0ms (0.2%)

simplify296.0ms (1.8%)

localize421.0ms (2.6%)

series9.0ms (0.1%)

simplify227.0ms (1.4%)

rewrite235.0ms (1.4%)

eval153.0ms (0.9%)

prune24.0ms (0.1%)

simplify180.0ms (1.1%)

localize756.0ms (4.6%)

series22.0ms (0.1%)

simplify191.0ms (1.2%)

rewrite308.0ms (1.9%)

eval91.0ms (0.6%)

prune13.0ms (0.1%)

simplify151.0ms (0.9%)

localize381.0ms (2.3%)

series6.0ms (0%)

simplify177.0ms (1.1%)

rewrite164.0ms (1%)

eval115.0ms (0.7%)

prune46.0ms (0.3%)

regimes40.0ms (0.2%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify70.0ms (0.4%)

soundness486.0ms (2.9%)

preprocess54.0ms (0.3%)

end0.0ms (0%)

Profiling

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

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