Metrics for ENA, Section 1.4, Exercise 4a

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze3.0ms (0%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
50%	25%	25%	50%	0%	0%	0%	2
75%	37.5%	12.5%	50%	0%	0%	0%	3
87.5%	43.7%	6.2%	50%	0%	0%	0%	4
93.8%	46.8%	3.1%	50%	0%	0%	0%	5
96.9%	48.4%	1.6%	50%	0%	0%	0%	6
98.4%	49.2%	0.8%	50%	0%	0%	0%	7
99.2%	49.6%	0.4%	50%	0%	0%	0%	8
99.6%	49.8%	0.2%	50%	0%	0%	0%	9
99.8%	49.9%	0.1%	50%	0%	0%	0%	10
99.9%	49.9%	0%	50%	0%	0%	0%	11
100%	49.9%	0%	50%	0%	0%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample3.9s (58%)

Memory

110.1MiB live, 5 067.3MiB allocated; 975ms collecting garbage

Samples

2.9s	5 801×	2	valid
523.0ms	2 382×	1	valid
5.0ms	73×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.0s

ival-sin: 1.9s (63.6% of total)

adjust: 558.0ms (18.6% of total)

ival-sub: 193.0ms (6.4% of total)

ival-div: 169.0ms (5.6% of total)

ival-tan: 72.0ms (2.4% of total)

ival-<=: 71.0ms (2.4% of total)

ival-and: 12.0ms (0.4% of total)

exact: 11.0ms (0.4% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain272.0ms (4.1%)

Memory

-46.2MiB live, 322.0MiB allocated; 117ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
94	1	(4.180569462745331e-108)	0	-	`(-.f64 x (sin.f64 x))`
52	1	(3.8826951358914343e-162)	6	(-1.3531582648075238e-104)	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
0	0	-	0	-	`(tan.f64 x)`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 x (sin.f64 x))`	cancellation	95	0
`/.f64`	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`	u/n	47	0
↳	`(-.f64 x (sin.f64 x))`	underflow	161

Confusion

	Predicted +	Predicted -
+	141	0
-	1	114

Precision

0.9929577464788732

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	141	0	0
-	1	0	114

Precision?

0.9929577464788732

Recall?

1.0

Freqs

test

number	freq
0	114
1	142

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

141.0ms	344×	2	valid
30.0ms	164×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-sin: 105.0ms (70.7% of total)

adjust: 22.0ms (14.8% of total)

ival-div: 10.0ms (6.7% of total)

ival-sub: 8.0ms (5.4% of total)

ival-tan: 4.0ms (2.7% of total)

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

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

preprocess39.0ms (0.6%)

Memory

-31.1MiB live, 15.0MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	21	19
2	52	19
3	96	19
4	173	19
5	381	19
6	915	19
7	2253	19
8	4675	19

Stop Event

1×	node limit

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.2%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify0.0ms (0%)

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

localize87.0ms (1.3%)

Memory

38.0MiB live, 88.9MiB allocated; 4ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(tan.f64 x)
accuracy	0.0	(sin.f64 x)
accuracy	10.830029117007777	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
accuracy	20.63788857378981	(-.f64 x (sin.f64 x))

Samples

70.0ms	172×	2	valid
11.0ms	82×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-sin: 46.0ms (66% of total)

adjust: 14.0ms (20.1% of total)

ival-div: 5.0ms (7.2% of total)

ival-sub: 4.0ms (5.7% of total)

ival-tan: 2.0ms (2.9% of total)

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

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

series4.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Counts

4 → 22

Calls

Call 1

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

Outputs
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(sin x)
(/ (sin x) (cos x))
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))

Calls

3 calls:

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

simplify8.0ms (0.1%)

Memory

-40.7MiB live, 5.4MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	265

Stop Event

1×	iter limit

Counts

22 → 21

Calls

Call 1

Inputs
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(sin x)
(/ (sin x) (cos x))
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))

Outputs
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/120 binary64)))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/5040 binary64) (.f64 #s(literal -1/362880 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/120 binary64)))))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))))
(/ (* x (cos x)) (sin x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) (sin.f64 x))))
(sin x)
(sin.f64 x)
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(* -1 (* x (- (/ (sin x) x) 1)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x))))

rewrite209.0ms (3.1%)

Memory

22.5MiB live, 110.4MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	9	15
1	33	15
2	228	15
3	2190	15
0	8310	15

Stop Event

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

Counts

4 → 170

Calls

Call 1

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

Outputs
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (+.f64 (sin.f64 x) x) (sin.f64 x)) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (+.f64 (sin.f64 x) x) (sin.f64 x))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (+.f64 (sin.f64 x) x) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (+.f64 (sin.f64 x) x) (sin.f64 x)) (-.f64 (.f64 (+.f64 (sin.f64 x) x) (sin.f64 x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 x (sin.f64 x)))
(.f64 (/.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (sin.f64 x) (-.f64 (sin.f64 x) x) (*.f64 x x)))
(*.f64 (+.f64 (sin.f64 x) x) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 (sin.f64 x) x)))
(.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (/.f64 (-.f64 x (sin.f64 x)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (+.f64 (sin.f64 x) x)) (*.f64 (+.f64 (sin.f64 x) x) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (.f64 #s(literal 2 binary64) (+.f64 (sin.f64 x) x))) (.f64 (+.f64 (sin.f64 x) x) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (+.f64 (sin.f64 x) x) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (+.f64 (sin.f64 x) x)) (*.f64 (+.f64 (sin.f64 x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 (sin.f64 x) x)) (*.f64 (+.f64 (sin.f64 x) x) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (+.f64 (sin.f64 x) x))) (.f64 (+.f64 (sin.f64 x) x) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (+.f64 (sin.f64 x) x) (*.f64 #s(literal 2 binary64) (+.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (.f64 (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (.f64 (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)))) (.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 (sin.f64 x) x)) (*.f64 (+.f64 (sin.f64 x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)))) (.f64 (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (.f64 x x)) (.f64 #s(literal 2 binary64) (+.f64 (sin.f64 x) x)) (.f64 (+.f64 (sin.f64 x) x) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (+.f64 (sin.f64 x) x) (.f64 #s(literal 2 binary64) (+.f64 (sin.f64 x) x))))
(/.f64 (fma.f64 (neg.f64 (.f64 x x)) (+.f64 (sin.f64 x) x) (.f64 (+.f64 (sin.f64 x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (.f64 x x)) (+.f64 (sin.f64 x) x) (.f64 (+.f64 (sin.f64 x) x) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 x x) (+.f64 (sin.f64 x) x) (.f64 (+.f64 (sin.f64 x) x) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (+.f64 (sin.f64 x) x)) (.f64 (+.f64 (sin.f64 x) x) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (+.f64 (sin.f64 x) x) (.f64 #s(literal 2 binary64) (+.f64 (sin.f64 x) x))))
(/.f64 (fma.f64 (.f64 x x) (+.f64 (sin.f64 x) x) (.f64 (+.f64 (sin.f64 x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64)))
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(/.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (.f64 (+.f64 (sin.f64 x) x) (tan.f64 x))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (.f64 (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (.f64 (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (neg.f64 (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (neg.f64 (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (neg.f64 (.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (tan.f64 x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (tan.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (tan.f64 x)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(neg.f64 (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x)))
(fma.f64 (/.f64 (neg.f64 x) (sin.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 #s(literal -1 binary64) (cos.f64 x)))
(fma.f64 (/.f64 x (+.f64 #s(literal 0 binary64) (tan.f64 x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x))) (.f64 #s(literal -1 binary64) (cos.f64 x)))
(fma.f64 (/.f64 x (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)) (*.f64 #s(literal -1 binary64) (cos.f64 x)))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (*.f64 #s(literal -1 binary64) (cos.f64 x)))
(fma.f64 (cos.f64 x) (/.f64 x (sin.f64 x)) (*.f64 #s(literal -1 binary64) (cos.f64 x)))
(-.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64)) (/.f64 (+.f64 (sin.f64 x) x) (tan.f64 x))) (/.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64)) (/.f64 (+.f64 (sin.f64 x) x) (tan.f64 x))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)) (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 (tan.f64 x) x) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (.f64 (tan.f64 x) (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 x x) (.f64 (+.f64 (sin.f64 x) x) (tan.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 (sin.f64 x) x) (tan.f64 x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (tan.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x)) (tan.f64 x))))
(-.f64 (/.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) (tan.f64 x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) (tan.f64 x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (tan.f64 x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (tan.f64 x)))
(-.f64 (/.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) (neg.f64 (tan.f64 x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) (neg.f64 (tan.f64 x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (neg.f64 (tan.f64 x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (.f64 x x))) (neg.f64 (tan.f64 x))))
(-.f64 (/.f64 (neg.f64 x) (tan.f64 x)) (/.f64 (neg.f64 (sin.f64 x)) (tan.f64 x)))
(-.f64 (/.f64 x (tan.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
(+.f64 (/.f64 (.f64 x x) (.f64 (+.f64 (sin.f64 x) x) (tan.f64 x))) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (sin.f64 x) x) (tan.f64 x))))
(+.f64 (/.f64 x (tan.f64 x)) (*.f64 #s(literal -1 binary64) (cos.f64 x)))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (neg.f64 (sin.f64 x)))))
(*.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (sqrt.f64 #s(literal -2 binary64)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (sqrt.f64 #s(literal 2 binary64)))
(sin.f64 x)
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (sin.f64 x))))
(fabs.f64 (neg.f64 (sin.f64 x)))
(fabs.f64 (sin.f64 x))
(exp.f64 (/.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sin.f64 x)))
(+.f64 (cosh.f64 (log.f64 (sin.f64 x))) (sinh.f64 (log.f64 (sin.f64 x))))
(/.f64 (fma.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x))) #s(literal 0 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x))) #s(literal 2 binary64)))
(/.f64 (+.f64 (tan.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) x) (.f64 x x)))) (tan.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) x) (.f64 x x))))) (-.f64 #s(literal 1 binary64) (.f64 (tan.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) x) (.f64 x x)))) (tan.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (PI.f64) (-.f64 (PI.f64) x) (*.f64 x x)))))))
(/.f64 (sin.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) x)))) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))) (cos.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (tan.f64 x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (cos.f64 x))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (+.f64 #s(literal 0 binary64) (tan.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (tan.f64 x))))
(/.f64 (sin.f64 x) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))))
(tan.f64 (neg.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (PI.f64))))
(tan.f64 (neg.f64 (+.f64 (neg.f64 x) (PI.f64))))
(tan.f64 (+.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) x))) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (neg.f64 (neg.f64 x)) (PI.f64)))
(tan.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) x))))
(tan.f64 (neg.f64 (neg.f64 x)))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)
(+.f64 (/.f64 (tan.f64 x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (tan.f64 x)))))

eval19.0ms (0.3%)

Memory: 22.7MiB live, 22.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 448 to 758 computations (83% saved)

prune20.0ms (0.3%)

Memory

-35.7MiB live, 16.5MiB allocated; 6ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	185	6	191
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	185	7	192

Accuracy

99.8%

Counts

192 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.2%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
▶	82.1%	(/.f64 #s(approx (- x (sin x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
▶	50.2%	(-.f64 (/.f64 x (tan.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))))))
	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64))))))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64))))))
▶	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))

Compiler

Compiled 227 to 155 computations (31.7% saved)

simplify0.0ms (0%)

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

localize442.0ms (6.6%)

Memory

21.4MiB live, 398.2MiB allocated; 68ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(tan.f64 x)
accuracy	0.0	(cos.f64 x)
accuracy	0.015625	(/.f64 x (tan.f64 x))
accuracy	31.823179557205428	(-.f64 (/.f64 x (tan.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
accuracy	0.0	(tan.f64 x)
accuracy	0.1171875	(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
accuracy	0.5897883490956249	#s(approx (- x (sin x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
accuracy	10.830029117007777	(/.f64 #s(approx (- x (sin x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
accuracy	0.00390625	(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64))))
accuracy	0.171875	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
accuracy	0.19012726926264117	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64))))))
accuracy	0.22265625	(*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))
accuracy	0.0	(pow.f64 x #s(literal 2 binary64))
accuracy	0.1875	(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
accuracy	0.6785428567098828	#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
accuracy	0.13509750976844204	(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64)))
accuracy	0.15234375	(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/15120 binary64)))
accuracy	0.1796875	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)))))
accuracy	0.23046875	(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)))

Samples

360.0ms	172×	2	valid
51.0ms	82×	1	valid
1.0ms	2×	0	valid

Compiler

Compiled 215 to 33 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 368.0ms

ival-tan: 121.0ms (32.9% of total)

adjust: 51.0ms (13.8% of total)

ival-sin: 48.0ms (13% of total)

ival-mult: 38.0ms (10.3% of total)

ival-div: 37.0ms (10% of total)

const: 26.0ms (7.1% of total)

ival-cos: 24.0ms (6.5% of total)

ival-sub: 12.0ms (3.3% of total)

ival-pow: 5.0ms (1.4% of total)

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

ival-pow2: 3.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

24.3MiB live, 24.3MiB allocated; 0ms collecting garbage

Counts

18 → 48

Calls

Call 1

Inputs
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/15120 binary64)))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(approx (- x (sin x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(tan.f64 x)
(-.f64 (/.f64 x (tan.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 x (tan.f64 x))
(cos.f64 x)

Outputs
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -11/15120 (pow x 2))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(* -143/604800 (pow x 2))
(pow x 2)
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* x (+ 1 (* -1 (/ (sin x) x))))
(/ (sin x) (cos x))
(cos x)
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) (* -143/604800 (pow x 2)) (/ (- x (sin x)) (tan x)) (* 1/6 (pow x 2)) (pow x 2) (* -23/360 (pow x 2)) (/ (- x (sin x)) (tan x)) (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (+ 1/6 (* -23/360 (pow x 2))) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* 1/6 (pow x 3)) (tan x) (- (/ x (tan x)) (* 1 (cos x))) (/ x (tan x)) (cos x))
4.0ms	x	@	-inf	((* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) (* -143/604800 (pow x 2)) (/ (- x (sin x)) (tan x)) (* 1/6 (pow x 2)) (pow x 2) (* -23/360 (pow x 2)) (/ (- x (sin x)) (tan x)) (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (+ 1/6 (* -23/360 (pow x 2))) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* 1/6 (pow x 3)) (tan x) (- (/ x (tan x)) (* 1 (cos x))) (/ x (tan x)) (cos x))
3.0ms	x	@	0	((* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) (* -143/604800 (pow x 2)) (/ (- x (sin x)) (tan x)) (* 1/6 (pow x 2)) (pow x 2) (* -23/360 (pow x 2)) (/ (- x (sin x)) (tan x)) (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (+ 1/6 (* -23/360 (pow x 2))) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* 1/6 (pow x 3)) (tan x) (- (/ x (tan x)) (* 1 (cos x))) (/ x (tan x)) (cos x))

Time

Variable

Point

Expression

5.0ms

inf

((* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) (* -143/604800 (pow x 2)) (/ (- x (sin x)) (tan x)) (* 1/6 (pow x 2)) (pow x 2) (* -23/360 (pow x 2)) (/ (- x (sin x)) (tan x)) (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (+ 1/6 (* -23/360 (pow x 2))) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* 1/6 (pow x 3)) (tan x) (- (/ x (tan x)) (* 1 (cos x))) (/ x (tan x)) (cos x))

4.0ms

-inf

((* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) (* -143/604800 (pow x 2)) (/ (- x (sin x)) (tan x)) (* 1/6 (pow x 2)) (pow x 2) (* -23/360 (pow x 2)) (/ (- x (sin x)) (tan x)) (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (+ 1/6 (* -23/360 (pow x 2))) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* 1/6 (pow x 3)) (tan x) (- (/ x (tan x)) (* 1 (cos x))) (/ x (tan x)) (cos x))

3.0ms

((* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))) (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) (* -143/604800 (pow x 2)) (/ (- x (sin x)) (tan x)) (* 1/6 (pow x 2)) (pow x 2) (* -23/360 (pow x 2)) (/ (- x (sin x)) (tan x)) (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2)))) (+ 1/6 (* -23/360 (pow x 2))) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* 1/6 (pow x 3)) (tan x) (- (/ x (tan x)) (* 1 (cos x))) (/ x (tan x)) (cos x))

simplify9.0ms (0.1%)

Memory

-34.9MiB live, 11.5MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	538

Stop Event

1×	iter limit

Counts

48 → 47

Calls

Call 1

Inputs
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -11/15120 (pow x 2))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(* -143/604800 (pow x 2))
(pow x 2)
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* x (+ 1 (* -1 (/ (sin x) x))))
(/ (sin x) (cos x))
(cos x)
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))

Outputs
(* -23/360 (pow x 2))
(*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))
(* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)))))
(* -11/15120 (pow x 2))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/15120 binary64)))
(* -143/604800 (pow x 2))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow x 2)
(pow.f64 x #s(literal 2 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64))))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/120 binary64)))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/5040 binary64) (.f64 #s(literal -1/362880 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/120 binary64)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 2/15 binary64) (.f64 #s(literal 17/315 binary64) (pow.f64 x #s(literal 2 binary64)))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))
(+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3)))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3)))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -2/945 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))))
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(* -143/604800 (pow x 6))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 143/604800 binary64) (*.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 143/604800 binary64)))
(* -143/604800 (pow x 8))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 143/604800 binary64) (*.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 143/604800 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 143/604800 binary64) (+.f64 (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(* -143/604800 (pow x 4))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 143/604800 binary64) (*.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/ (* x (cos x)) (sin x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) (sin.f64 x))))
(* -23/360 (pow x 4))
(*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 23/360 binary64)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 23/360 binary64)))
(* x (+ 1 (* -1 (/ (sin x) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) x))))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(cos x)
(cos.f64 x)
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x))))
(* -1 (* x (- (/ (sin x) x) 1)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64))))
(* -1 (* x (- (/ (cos x) x) (/ (cos x) (sin x)))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) (sin.f64 x)))))

rewrite166.0ms (2.5%)

Memory

4.6MiB live, 193.0MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	164
0	56	162
1	201	162
2	1255	162
0	8300	158

Stop Event

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

Counts

18 → 251

Calls

Call 1

Inputs
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/15120 binary64)))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(approx (- x (sin x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(tan.f64 x)
(-.f64 (/.f64 x (tan.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 x (tan.f64 x))
(cos.f64 x)

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

eval44.0ms (0.7%)

Memory: 24.4MiB live, 70.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 13 656 to 1 768 computations (87.1% saved)

prune14.0ms (0.2%)

Memory

-14.0MiB live, 33.0MiB allocated; 2ms collecting garbage

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	407	7	414
Fresh	1	0	1
Picked	4	1	5
Done	1	0	1
Total	413	8	421

Accuracy

100.0%

Counts

421 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	82.1%	(/.f64 #s(approx (- x (sin x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) x (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (-.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64))) (.f64 #s(literal -23/2160 binary64) (*.f64 x x)))))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
▶	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

Compiler

Compiled 323 to 214 computations (33.7% saved)

simplify0.0ms (0%)

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

localize318.0ms (4.8%)

Memory

7.7MiB live, 428.7MiB allocated; 122ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.09375	(.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x)
accuracy	0.1875	(.f64 #s(literal 1/6 binary64) (.f64 x x))
accuracy	0.19012726926264117	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) x (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
accuracy	0.22265625	(.f64 #s(literal -23/360 binary64) (.f64 x x))
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy	0.171875	(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
accuracy	0.19012726926264117	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
accuracy	0.0	(*.f64 x x)
accuracy	0.1875	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	0.6785428567098828	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.09765625	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
accuracy	0.3125	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.6785428567098828	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
accuracy	0.12109375	(.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)
accuracy	0.13509750976844204	(.f64 #s(literal -143/604800 binary64) (.f64 x x))
accuracy	0.17578125	(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
accuracy	0.1796875	(.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))

Samples

190.0ms	172×	2	valid
70.0ms	81×	1	valid
1.0ms	3×	0	valid

Compiler

Compiled 214 to 31 computations (85.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 225.0ms

ival-sin: 78.0ms (34.6% of total)

adjust: 51.0ms (22.6% of total)

ival-mult: 49.0ms (21.7% of total)

const: 25.0ms (11.1% of total)

ival-sub: 9.0ms (4% of total)

ival-add: 7.0ms (3.1% of total)

ival-div: 5.0ms (2.2% of total)

ival-tan: 2.0ms (0.9% of total)

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

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

series8.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Counts

17 → 29

Calls

Call 1

Inputs
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
(.f64 #s(literal -143/604800 binary64) (.f64 x x))
(.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) x (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x)

Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -11/15120 x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* -143/604800 (pow x 2))
(* -11/15120 (pow x 2))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(* 1/6 x)
(pow x 2)
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(* -23/360 (pow x 2))
(* -23/360 (pow x 3))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (* (- (* -143/604800 (* x x)) 11/15120) x) (* -143/604800 (* x x)) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (/ (- x (sin x)) (tan x)) (* 1/6 x) (* (* 1/6 x) x) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (+ (* -23/360 (* x x)) 1/6) (* x x)) (+ (* -23/360 (* x x)) 1/6) (* -23/360 (* x x)) (/ (- x (sin x)) (tan x)) (* 1/6 (* x x)) (* (* -23/360 (* x x)) x))
3.0ms	x	@	-inf	((* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (* (- (* -143/604800 (* x x)) 11/15120) x) (* -143/604800 (* x x)) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (/ (- x (sin x)) (tan x)) (* 1/6 x) (* (* 1/6 x) x) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (+ (* -23/360 (* x x)) 1/6) (* x x)) (+ (* -23/360 (* x x)) 1/6) (* -23/360 (* x x)) (/ (- x (sin x)) (tan x)) (* 1/6 (* x x)) (* (* -23/360 (* x x)) x))
2.0ms	x	@	0	((* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (* (- (* -143/604800 (* x x)) 11/15120) x) (* -143/604800 (* x x)) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (/ (- x (sin x)) (tan x)) (* 1/6 x) (* (* 1/6 x) x) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (+ (* -23/360 (* x x)) 1/6) (* x x)) (+ (* -23/360 (* x x)) 1/6) (* -23/360 (* x x)) (/ (- x (sin x)) (tan x)) (* 1/6 (* x x)) (* (* -23/360 (* x x)) x))

Time

Variable

Point

Expression

3.0ms

inf

((* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (* (- (* -143/604800 (* x x)) 11/15120) x) (* -143/604800 (* x x)) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (/ (- x (sin x)) (tan x)) (* 1/6 x) (* (* 1/6 x) x) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (+ (* -23/360 (* x x)) 1/6) (* x x)) (+ (* -23/360 (* x x)) 1/6) (* -23/360 (* x x)) (/ (- x (sin x)) (tan x)) (* 1/6 (* x x)) (* (* -23/360 (* x x)) x))

3.0ms

-inf

((* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (* (- (* -143/604800 (* x x)) 11/15120) x) (* -143/604800 (* x x)) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (/ (- x (sin x)) (tan x)) (* 1/6 x) (* (* 1/6 x) x) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (+ (* -23/360 (* x x)) 1/6) (* x x)) (+ (* -23/360 (* x x)) 1/6) (* -23/360 (* x x)) (/ (- x (sin x)) (tan x)) (* 1/6 (* x x)) (* (* -23/360 (* x x)) x))

2.0ms

((* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (* (- (* -143/604800 (* x x)) 11/15120) x) (* -143/604800 (* x x)) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (/ (- x (sin x)) (tan x)) (* 1/6 x) (* (* 1/6 x) x) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (+ (* -23/360 (* x x)) 1/6) (* x x)) (+ (* -23/360 (* x x)) 1/6) (* -23/360 (* x x)) (/ (- x (sin x)) (tan x)) (* 1/6 (* x x)) (* (* -23/360 (* x x)) x))

simplify4.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	287

Stop Event

1×	iter limit

Counts

29 → 29

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -11/15120 x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* -143/604800 (pow x 2))
(* -11/15120 (pow x 2))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(* 1/6 x)
(pow x 2)
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(* -23/360 (pow x 2))
(* -23/360 (pow x 3))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))

Outputs
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)))))
(* -11/15120 x)
(*.f64 #s(literal -11/15120 binary64) x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(.f64 x (-.f64 (.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/15120 binary64)))
(* -143/604800 (pow x 2))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64)))
(* -11/15120 (pow x 2))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/15120 binary64)))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(pow x 2)
(pow.f64 x #s(literal 2 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64))))
(* -23/360 (pow x 2))
(*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(* -23/360 (pow x 3))
(*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 3 binary64)))
(* -143/604800 (pow x 8))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 143/604800 binary64) (*.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 143/604800 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 143/604800 binary64) (+.f64 (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(* -143/604800 (pow x 3))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 143/604800 binary64) (*.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(* -143/604800 (pow x 4))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 143/604800 binary64) (*.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(/ (* x (cos x)) (sin x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) (sin.f64 x))))
(* -23/360 (pow x 4))
(*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 23/360 binary64)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 23/360 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x))))

rewrite156.0ms (2.4%)

Memory

29.2MiB live, 159.5MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	162
0	50	158
1	177	156
2	1198	156
0	8402	156

Stop Event

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

Counts

17 → 334

Calls

Call 1

Inputs
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
(.f64 #s(literal -143/604800 binary64) (.f64 x x))
(.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(*.f64 #s(literal 1/6 binary64) x)
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) x (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) x)

Outputs
(.f64 (.f64 (neg.f64 x) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))) (neg.f64 x))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 x (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x) (.f64 x x))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) (-.f64 (.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x) (.f64 x x)) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x)) (.f64 (.f64 x x) (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) x) x)) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
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eval76.0ms (1.1%)

Memory: -44.9MiB live, 104.5MiB allocated; 19ms collecting garbage
Compiler: Compiled 15 497 to 1 778 computations (88.5% saved)

prune12.0ms (0.2%)

Memory

34.1MiB live, 34.1MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	469	4	473
Fresh	2	0	2
Picked	0	5	5
Done	0	1	1
Total	471	10	481

Accuracy

100.0%

Counts

481 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	82.1%	(/.f64 #s(approx (- x (sin x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) x (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
▶	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
✓	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
▶	74.5%	#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))

Compiler

Compiled 215 to 144 computations (33% saved)

simplify0.0ms (0%)

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

localize383.0ms (5.8%)

Memory

16.6MiB live, 392.7MiB allocated; 90ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.125	(.f64 (.f64 x x) #s(literal -23/2160 binary64))
accuracy	0.171875	(.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x))
accuracy	0.19012726926264117	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))))
accuracy	0.2536125488422101	(/.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64)))))
accuracy	0.17578125	(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (*.f64 x x))
accuracy	0.19012726926264117	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
accuracy	0.22265625	(.f64 #s(literal -23/360 binary64) (.f64 x x))
accuracy	0.224941259768442	(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
accuracy	0.12109375	(.f64 #s(approx ( (- (* -143/604800 (* x x)) 11/15120) x) (*.f64 #s(literal -11/15120 binary64) x)) x)
accuracy	0.171875	(*.f64 #s(literal -11/15120 binary64) x)
accuracy	0.1796875	(.f64 (fma.f64 (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
accuracy	0.6803655206456576	#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (*.f64 #s(literal -11/15120 binary64) x))
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.109375	(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
accuracy	0.6785428567098828	#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
accuracy	15.640359030834892	(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))

Samples

212.0ms	172×	2	valid
74.0ms	81×	1	valid
1.0ms	3×	0	valid

Compiler

Compiled 283 to 47 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 243.0ms

adjust: 61.0ms (25.1% of total)

const: 55.0ms (22.6% of total)

ival-sin: 45.0ms (18.5% of total)

ival-mult: 31.0ms (12.7% of total)

ival-sub: 15.0ms (6.2% of total)

ival-div: 13.0ms (5.3% of total)

ival-pow: 11.0ms (4.5% of total)

ival-add: 7.0ms (2.9% of total)

ival-sqrt: 4.0ms (1.6% of total)

ival-tan: 2.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory

-15.9MiB live, 28.5MiB allocated; 6ms collecting garbage

Counts

16 → 33

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (*.f64 #s(literal -11/15120 binary64) x))
(.f64 (fma.f64 (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 #s(literal -11/15120 binary64) x)
(.f64 #s(approx ( (- (* -143/604800 (* x x)) 11/15120) x) (*.f64 #s(literal -11/15120 binary64) x)) x)
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (*.f64 x x))
(/.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))))
(.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x))
(.f64 (.f64 x x) #s(literal -23/2160 binary64))

Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/36 (pow x 4))
(pow x 4)
(* -11/15120 x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* -11/15120 (pow x 2))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(* -23/360 (pow x 2))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(* 1/216 (pow x 2))
(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
(* -23/2160 (pow x 2))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 529/129600 (pow x 6))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* -12167/46656000 (pow x 8))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))

Calls

3 calls:

Time

Variable

Point

Expression

8.0ms

inf

((sqrt (* (pow x 4) 1/36)) (/ (- x (sin x)) (tan x)) (* (pow x 4) 1/36) (pow x 4) (* (- (* -143/604800 (* x x)) 11/15120) x) (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (* -11/15120 x) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (/ (* (- (* (pow x 4) 529/129600) 1/36) (* x x)) (- (* -23/360 (* x x)) 1/6)) (* -23/360 (* x x)) (/ (- x (sin x)) (tan x)) (* (- (* (pow x 4) 529/129600) 1/36) (* x x)) (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) (* x x)) (+ (* (pow x 4) 529/129600) (- 1/36 (* (* x x) -23/2160)))) (/ (- x (sin x)) (tan x)) (* (+ (* -12167/46656000 (pow x 6)) 1/216) (* x x)) (* (* x x) -23/2160))

7.0ms

((sqrt (* (pow x 4) 1/36)) (/ (- x (sin x)) (tan x)) (* (pow x 4) 1/36) (pow x 4) (* (- (* -143/604800 (* x x)) 11/15120) x) (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (* -11/15120 x) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (/ (* (- (* (pow x 4) 529/129600) 1/36) (* x x)) (- (* -23/360 (* x x)) 1/6)) (* -23/360 (* x x)) (/ (- x (sin x)) (tan x)) (* (- (* (pow x 4) 529/129600) 1/36) (* x x)) (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) (* x x)) (+ (* (pow x 4) 529/129600) (- 1/36 (* (* x x) -23/2160)))) (/ (- x (sin x)) (tan x)) (* (+ (* -12167/46656000 (pow x 6)) 1/216) (* x x)) (* (* x x) -23/2160))

4.0ms

-inf

((sqrt (* (pow x 4) 1/36)) (/ (- x (sin x)) (tan x)) (* (pow x 4) 1/36) (pow x 4) (* (- (* -143/604800 (* x x)) 11/15120) x) (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (* -11/15120 x) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (/ (* (- (* (pow x 4) 529/129600) 1/36) (* x x)) (- (* -23/360 (* x x)) 1/6)) (* -23/360 (* x x)) (/ (- x (sin x)) (tan x)) (* (- (* (pow x 4) 529/129600) 1/36) (* x x)) (/ (* (+ (* -12167/46656000 (pow x 6)) 1/216) (* x x)) (+ (* (pow x 4) 529/129600) (- 1/36 (* (* x x) -23/2160)))) (/ (- x (sin x)) (tan x)) (* (+ (* -12167/46656000 (pow x 6)) 1/216) (* x x)) (* (* x x) -23/2160))

simplify4.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	331

Stop Event

1×	iter limit

Counts

33 → 33

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/36 (pow x 4))
(pow x 4)
(* -11/15120 x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* -11/15120 (pow x 2))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(* -23/360 (pow x 2))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(* 1/216 (pow x 2))
(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
(* -23/2160 (pow x 2))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 4))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 529/129600 (pow x 6))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* -12167/46656000 (pow x 8))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))

Outputs
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64)))))
(* 1/36 (pow x 4))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* -11/15120 x)
(*.f64 #s(literal -11/15120 binary64) x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(.f64 x (-.f64 (.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/15120 binary64)))
(* -11/15120 (pow x 2))
(*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64)))
(* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/15120 binary64)))
(* -23/360 (pow x 2))
(*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64)))
(* -1/36 (pow x 2))
(*.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 2 binary64)))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)))
(* 1/216 (pow x 2))
(*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 1/216 (* -12167/46656000 (pow x 6))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/216 binary64) (.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* -23/2160 (pow x 2))
(*.f64 #s(literal -23/2160 binary64) (pow.f64 x #s(literal 2 binary64)))
(/ (* x (cos x)) (sin x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x) (/.f64 (cos.f64 x) (sin.f64 x))))
(* -143/604800 (pow x 3))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 143/604800 binary64) (*.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(* -143/604800 (pow x 8))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 143/604800 binary64) (*.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 11/15120 binary64) (*.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 143/604800 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 143/604800 binary64) (+.f64 (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(* -143/604800 (pow x 4))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 143/604800 binary64) (*.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(* -23/360 (pow x 4))
(*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 23/360 binary64)))
(* 529/129600 (pow x 6))
(*.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 529/129600 binary64) (.f64 #s(literal 1/36 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -12167/46656000 (pow x 8))
(*.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/216 (/ 1 (pow x 6))) 12167/46656000))
(.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (.f64 #s(literal 1/216 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 12167/46656000 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) x))))

rewrite167.0ms (2.5%)

Memory

3.7MiB live, 188.6MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	216
0	72	208
1	255	174
2	1769	174
0	8721	170

Stop Event

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

Counts

16 → 333

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (*.f64 #s(literal -11/15120 binary64) x))
(.f64 (fma.f64 (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 #s(literal -11/15120 binary64) x)
(.f64 #s(approx ( (- (* -143/604800 (* x x)) 11/15120) x) (*.f64 #s(literal -11/15120 binary64) x)) x)
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(.f64 #s(literal -23/360 binary64) (.f64 x x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
(.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (*.f64 x x))
(/.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))))
(.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x))
(.f64 (.f64 x x) #s(literal -23/2160 binary64))

Outputs
(.f64 (neg.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x)) (neg.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x)))
(.f64 (fabs.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x)) (fabs.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x)))
(.f64 (sqrt.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x))) x)
(.f64 (pow.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(.f64 (.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x) (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 x (sqrt.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64))))
(.f64 x (pow.f64 (.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 1/36 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) (log.f64 #s(literal 1/36 binary64))) #s(literal 1/2 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x))
(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64)))
(*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x))
(.f64 (.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 4 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64)))))))
(sqrt.f64 (pow.f64 x #s(literal 8 binary64)))
(fabs.f64 (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (+.f64 (/.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (/.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (/.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (*.f64 #s(literal -11/15120 binary64) x))
(.f64 (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (*.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (*.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) #s(literal 1/6 binary64)) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (*.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) #s(literal 1/6 binary64))))
(.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 #s(approx ( (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) #s(literal 1/6 binary64)) (.f64 x x))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (*.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) #s(literal 1/6 binary64)))
(.f64 x (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (*.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) #s(literal 1/6 binary64)) x))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64))) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64))) (.f64 x x)) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64))) (.f64 x x)) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64))) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 (.f64 #s(approx ( (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)))) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)))) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64))) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(approx ( (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64))) (.f64 x x)) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64))) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(approx ( (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64))) (.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 (.f64 #s(approx ( (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 (.f64 #s(approx ( (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)))) (.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64))))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 (.f64 #s(approx ( (- (* -143/604800 (* x x)) 11/15120) x) (*.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64))))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (pow.f64 (-.f64 (.f64 #s(approx ( (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(approx ( (- (* -143/604800 (* x x)) 11/15120) x) (*.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64))) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #s(approx ( (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (-.f64 (.f64 #s(approx ( (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (*.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64))) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 (-.f64 (.f64 #s(approx ( (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (-.f64 (.f64 #s(approx ( (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (-.f64 (.f64 #s(approx ( (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(approx ( (- (* -143/604800 (* x x)) 11/15120) x) (*.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64))) #s(literal 1/6 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (fma.f64 (pow.f64 (-.f64 (.f64 #s(approx ( (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (-.f64 (.f64 #s(approx ( (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 (pow.f64 (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (-.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (*.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64))) #s(literal 1/6 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 (-.f64 (.f64 #s(approx ( (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (fma.f64 (pow.f64 (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (-.f64 (.f64 #s(approx ( (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
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(+.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (.f64 x x)) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (.f64 x x))))) (/.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64)) (.f64 x x)) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (*.f64 x x))))))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64))) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (.f64 x x))))) (/.f64 (.f64 (.f64 x x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (*.f64 x x))))))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/216 binary64)) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (.f64 x x))))) (/.f64 (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64))) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal -23/2160 binary64) (*.f64 x x))))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64) #s(literal 1/216 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64) #s(literal 1/216 binary64)) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64) #s(literal 1/216 binary64))))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64) #s(literal 1/216 binary64)) (.f64 x x))
(.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64) #s(literal 1/216 binary64)))
(.f64 x (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64) #s(literal 1/216 binary64)) x))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64)) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/216 binary64) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64)) (.f64 x x)) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 #s(literal 1/216 binary64) (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 x x))) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64)) (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/216 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64)) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/216 binary64) (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64)) (.f64 x x)) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64)) (.f64 x x))) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 x x)) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64)) (.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 1/216 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64))) (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) #s(literal 1/216 binary64))) (.f64 (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64))) (.f64 (.f64 x x) #s(literal 1/216 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/216 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) #s(literal 1/216 binary64)) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64))) (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64)))) (.f64 (.f64 (.f64 x x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1/46656 binary64)))) (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64)) #s(literal 1/216 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal -1801152661463/101559956668416000000000 binary64) #s(literal 1/10077696 binary64)))) (neg.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal -12167/10077696000 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1/46656 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64)) #s(literal 1/216 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal -1801152661463/101559956668416000000000 binary64) #s(literal 1/10077696 binary64)) (.f64 x x))) (neg.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal -12167/10077696000 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(/.f64 (.f64 (.f64 x x) (-.f64 (.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1/46656 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64)) #s(literal 1/216 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal -1801152661463/101559956668416000000000 binary64) #s(literal 1/10077696 binary64))) (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal -12167/10077696000 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1/46656 binary64)) (.f64 x x)) (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64)) #s(literal 1/216 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal -1801152661463/101559956668416000000000 binary64) #s(literal 1/10077696 binary64)) (.f64 x x)) (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 1/46656 binary64) (*.f64 #s(literal -12167/10077696000 binary64) (pow.f64 x #s(literal 6 binary64))))))
(fma.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64)) (.f64 x x) (.f64 #s(literal 1/216 binary64) (.f64 x x)))
(fma.f64 #s(literal 1/216 binary64) (.f64 x x) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64)) (.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64)) (.f64 (.f64 x x) #s(literal 1/216 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64))))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64)) (.f64 x x)) (.f64 #s(literal 1/216 binary64) (*.f64 x x)))
(+.f64 (.f64 #s(literal 1/216 binary64) (.f64 x x)) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64)) (*.f64 x x)))
(+.f64 (.f64 (.f64 x x) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64))) (.f64 (*.f64 x x) #s(literal 1/216 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/216 binary64)) (.f64 (.f64 x x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 12167/46656000 binary64))))
(.f64 (.f64 #s(literal -23/2160 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal -23/2160 binary64) x) x)
(.f64 (.f64 #s(literal -23/360 binary64) x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal -23/2160 binary64)))
(.f64 #s(literal -23/2160 binary64) (.f64 x x))
(.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(.f64 #s(literal -23/360 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (*.f64 x x)))
(.f64 (.f64 x x) #s(literal -23/2160 binary64))
(.f64 x (.f64 #s(literal -23/2160 binary64) x))

eval61.0ms (0.9%)

Memory: -31.1MiB live, 69.4MiB allocated; 13ms collecting garbage
Compiler: Compiled 12 246 to 1 401 computations (88.6% saved)

prune13.0ms (0.2%)

Memory

25.7MiB live, 25.7MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	319	6	325
Fresh	0	0	0
Picked	2	2	4
Done	1	5	6
Total	322	13	335

Accuracy

100.0%

Counts

335 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) x (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
	98.6%	#s(approx (/ (- x (sin x)) (tan x)) (pow.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x) #s(literal 2 binary64)))
	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -23/2160 binary64))))))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64))))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))
✓	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	98.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
	73.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (sqrt.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x))) x))
✓	74.5%	#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
	74.5%	#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64)))))

Compiler

Compiled 806 to 331 computations (58.9% saved)

regimes12.0ms (0.2%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Counts

24 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (sqrt.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x))) x))
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) x (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (-.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (/.f64 x (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)) (.f64 x x)) (-.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal -23/2160 binary64))))))
#s(approx (/ (- x (sin x)) (tan x)) (pow.f64 (*.f64 (pow.f64 #s(literal 1/36 binary64) #s(literal 1/4 binary64)) x) #s(literal 2 binary64)))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 #s(approx (- x (sin x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
(-.f64 (/.f64 x (tan.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -23/2160 binary64))))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (-.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64))) (.f64 #s(literal -23/2160 binary64) (*.f64 x x)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -11/15120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 23/360 binary64))))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 11/15120 binary64))) #s(literal 23/360 binary64))))))

Outputs

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))

Calls

2 calls:

6.0ms	x
4.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (sqrt.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x))) x))
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) x (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (-.f64 (.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))

Outputs

#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (*.f64 #s(literal -11/15120 binary64) x)) x) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))

Calls

2 calls:

2.0ms	x
2.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes19.0ms (0.3%)

Memory

-37.1MiB live, 8.6MiB allocated; 6ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (sqrt.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x))) x))
#s(approx (/ (- x (sin x)) (tan x)) (sqrt.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x) x (.f64 #s(literal 1/6 binary64) (*.f64 x x))))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))

Calls

2 calls:

2.0ms	x
2.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory

5.5MiB live, 5.4MiB allocated; 0ms collecting garbage

Accuracy

Total -0.1b remaining (-12.8%)

Threshold costs -0.1b (-12.8%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
98.7%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
98.7%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

derivations158.0ms (2.4%)

Memory

29.6MiB live, 127.2MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	164
0	56	162
1	201	162
2	1255	162
0	8300	158
0	83	287
0	105	265

Stop Event

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

Compiler

Compiled 95 to 39 computations (58.9% saved)

preprocess29.0ms (0.4%)

Memory: -40.3MiB live, 51.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 214 to 96 computations (55.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0%)

sample3.9s (58%)

explain272.0ms (4.1%)

preprocess39.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize87.0ms (1.3%)

series4.0ms (0.1%)

simplify8.0ms (0.1%)

rewrite209.0ms (3.1%)

eval19.0ms (0.3%)

prune20.0ms (0.3%)

simplify0.0ms (0%)

localize442.0ms (6.6%)

series13.0ms (0.2%)

simplify9.0ms (0.1%)

rewrite166.0ms (2.5%)

eval44.0ms (0.7%)

prune14.0ms (0.2%)

simplify0.0ms (0%)

localize318.0ms (4.8%)

series8.0ms (0.1%)

simplify4.0ms (0.1%)

rewrite156.0ms (2.4%)

eval76.0ms (1.1%)

prune12.0ms (0.2%)

simplify0.0ms (0%)

localize383.0ms (5.8%)

series20.0ms (0.3%)

simplify4.0ms (0.1%)

rewrite167.0ms (2.5%)

eval61.0ms (0.9%)

prune13.0ms (0.2%)

regimes12.0ms (0.2%)

regimes5.0ms (0.1%)

regimes19.0ms (0.3%)

regimes2.0ms (0%)

derivations158.0ms (2.4%)

preprocess29.0ms (0.4%)

end0.0ms (0%)

Profiling