Metrics for ENA, Section 1.4, Exercise 4a

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample2.5s (63.6%)

Memory

20.4MiB live, 333.8MiB allocated; 36ms collecting garbage

Samples

2.0s	5 833×	2	valid
264.0ms	2 354×	1	valid
4.0ms	69×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.0s

ival-sin: 1.4s (68.3% of total)

adjust: 339.0ms (16.8% of total)

ival-div: 139.0ms (6.9% of total)

ival-sub: 112.0ms (5.6% of total)

ival-tan: 48.0ms (2.4% of total)

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

Bogosity

explain192.0ms (4.9%)

Memory

-7.7MiB live, 42.2MiB allocated; 3ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
79	2	(6.0814614242916435e-108)	0	-	`(-.f64 x (sin.f64 x))`
41	0	-	4	(4.959887139764088e-107)	`(/.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	81	0
`/.f64`	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`	u/n	37	0
↳	`(-.f64 x (sin.f64 x))`	underflow	175

Confusion

	Predicted +	Predicted -
+	118	0
-	0	138

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	118	0	0
-	0	0	138

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	138
1	118

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

134.0ms	376×	2	valid
16.0ms	136×	1	valid

Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

ival-sin: 92.0ms (69.2% of total)

adjust: 21.0ms (15.8% of total)

ival-div: 9.0ms (6.8% of total)

ival-sub: 7.0ms (5.3% of total)

ival-tan: 3.0ms (2.3% of total)

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

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

preprocess187.0ms (4.7%)

Memory

-13.5MiB live, 32.6MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	28	23
2	62	22
3	111	22
4	208	22
5	453	22
6	1106	22
7	2689	22
8	6996	22
0	5	7
0	9	7
1	15	7
2	18	7
3	23	7
4	32	7
5	54	7
6	104	7
7	227	7
8	618	7
9	1853	7
10	4816	7
0	8080	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

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

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.2%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

series4.0ms (0.1%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Counts

5 → 25

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ (- x (sin x)) (tan x)) (- x (sin x)) x (sin x) (tan x))
1.0ms	x	@	inf	((/ (- x (sin x)) (tan x)) (- x (sin x)) x (sin x) (tan x))
1.0ms	x	@	0	((/ (- x (sin x)) (tan x)) (- x (sin x)) x (sin x) (tan x))

rewrite159.0ms (4%)

Memory

5.4MiB live, 34.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	409
0	143	400
1	735	386
0	6349	369

Stop Event

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

Counts

30 → 55

Calls

Call 1

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

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

eval6.0ms (0.1%)

Memory: -3.5MiB live, 4.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 876 to 223 computations (74.5% saved)

prune4.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	52	5	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	5	58

Accuracy

99.9%

Counts

58 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.2%	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
▶	99.8%	#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)))
▶	99.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 196 to 128 computations (34.7% saved)

series15.0ms (0.4%)

Memory

0.9MiB live, 8.7MiB allocated; 0ms collecting garbage

Counts

34 → 96

Calls

Call 1

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

Outputs
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 -23/360))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (* -11/15120 (* x x)) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 -23/360))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -11/15120 x)))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* x (- (* -143/604800 (pow x 2)) 11/15120))))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 -11/15120))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (- (* -143/604800 (pow x 2)) 11/15120)))
#s(approx (* -143/604800 (* x x)) #s(hole binary64 (* -143/604800 (pow x 2))))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx (* (pow x 3) 1/6) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -143/604800 (pow x 8))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* -143/604800 (pow x 6))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -143/604800 (pow x 3))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (* -143/604800 (pow x 2))))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (- x (sin x)) #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (- (* -11/15120 (* x x)) 23/360) (* -11/15120 (* x x)) -11/15120 (* x x) x 23/360 1/6 (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) -23/360 (/ (- x (sin x)) (tan x)) (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* (- (* -143/604800 (* x x)) 11/15120) x) (- (* -143/604800 (* x x)) 11/15120) (* -143/604800 (* x x)) -143/604800 11/15120 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x))
4.0ms	x	@	-inf	((/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (- (* -11/15120 (* x x)) 23/360) (* -11/15120 (* x x)) -11/15120 (* x x) x 23/360 1/6 (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) -23/360 (/ (- x (sin x)) (tan x)) (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* (- (* -143/604800 (* x x)) 11/15120) x) (- (* -143/604800 (* x x)) 11/15120) (* -143/604800 (* x x)) -143/604800 11/15120 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x))
3.0ms	x	@	0	((/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (- (* -11/15120 (* x x)) 23/360) (* -11/15120 (* x x)) -11/15120 (* x x) x 23/360 1/6 (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) -23/360 (/ (- x (sin x)) (tan x)) (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (* (- (* -143/604800 (* x x)) 11/15120) x) (- (* -143/604800 (* x x)) 11/15120) (* -143/604800 (* x x)) -143/604800 11/15120 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x))

Time

Variable

Point

Expression

6.0ms

inf

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

4.0ms

-inf

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

3.0ms

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

rewrite161.0ms (4.1%)

Memory

-3.7MiB live, 58.2MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	310	2401
0	355	2310
1	1327	2295
0	8819	2149

Stop Event

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

Counts

130 → 505

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(-.f64 (.f64 #s(literal -11/15120 binary64) (.f64 x x)) #s(literal 23/360 binary64))
(.f64 #s(literal -11/15120 binary64) (.f64 x x))
#s(literal -11/15120 binary64)
(*.f64 x x)
x
#s(literal 23/360 binary64)
#s(literal 1/6 binary64)
#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))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
#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)))
(.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))
(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 (.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 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x)
(.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (*.f64 x x)) #s(literal 11/15120 binary64)) x)
(-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64))
(.f64 #s(literal -143/604800 binary64) (.f64 x x))
#s(literal -143/604800 binary64)
#s(literal 11/15120 binary64)
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(tan.f64 x)
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 -23/360))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (* -11/15120 (* x x)) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 -23/360))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -11/15120 x)))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* x (- (* -143/604800 (pow x 2)) 11/15120))))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 -11/15120))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (- (* -143/604800 (pow x 2)) 11/15120)))
#s(approx (* -143/604800 (* x x)) #s(hole binary64 (* -143/604800 (pow x 2))))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx (* (pow x 3) 1/6) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (- (* -11/15120 (* x x)) 23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -143/604800 (pow x 8))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* -143/604800 (pow x 6))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) #s(hole binary64 (* (pow x 4) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -143/604800 (pow x 3))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (* -143/604800 (pow x 2))))
#s(approx (- (* -143/604800 (* x x)) 11/15120) #s(hole binary64 (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (- x (sin x)) #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
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#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (.f64 (-.f64 (/.f64 (fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -11/15120 binary64)) (.f64 x x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (* x x)) (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64)) #s(literal 143/604800 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -143/604800 binary64)))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 6 binary64))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -11/15120 binary64)) (.f64 x x)) #s(literal 143/604800 binary64))))
#s(approx (+ (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (* x x)) 1/6) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64)) #s(literal 143/604800 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -143/604800 binary64)))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (.f64 (-.f64 (/.f64 (fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -11/15120 binary64)) (.f64 x x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -143/604800 binary64)))
#s(approx (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -143/604800 binary64)))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (* -143/604800 (* x x)) 11/15120) (.f64 (.f64 #s(literal -143/604800 binary64) x) x))
#s(approx (- (* -143/604800 (* x x)) 11/15120) (.f64 (.f64 (neg.f64 x) x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) #s(literal 143/604800 binary64))))
#s(approx (- x (sin x)) x)
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))
#s(approx (tan x) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1 binary64) (/.f64 (cos.f64 x) x))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (.f64 (neg.f64 (-.f64 #s(literal 23/360 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))

eval75.0ms (1.9%)

Memory: -2.8MiB live, 48.1MiB allocated; 7ms collecting garbage
Compiler: Compiled 18 336 to 2 558 computations (86% saved)

prune22.0ms (0.6%)

Memory

5.0MiB live, 29.6MiB allocated; 1ms collecting garbage

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	633	9	642
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	636	11	647

Accuracy

99.9%

Counts

647 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.2%	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(approx (tan x) x))
▶	86.2%	(/.f64 #s(approx (- x (sin x)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)))) (tan.f64 x))
▶	99.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
▶	99.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x))
	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
▶	44.9%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x))
✓	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	14.0%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64))))))
	23.0%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 485 to 325 computations (33% saved)

series16.0ms (0.4%)

Memory

-5.5MiB live, 10.0MiB allocated; 1ms collecting garbage

Counts

34 → 107

Calls

Call 1

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

Outputs
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* x (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 1/6))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (/ 1/6 x)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) x)))
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx (* (pow x 3/2) (* (pow x 3/2) 1/6)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (pow x 3/2) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* (pow x 3/2) 1/6) #s(hole binary64 (* 1/6 (sqrt (pow x 3)))))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -11/15120 (pow x 3))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 2))) 23/360)))
#s(approx (- x (sin x)) #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
#s(approx (* (pow x 3/2) (* (pow x 3/2) 1/6)) #s(hole binary64 (* -1/6 (* (pow x 3) (pow (sqrt -1) 2)))))
#s(approx (pow x 3/2) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (* (pow x 3/2) 1/6) #s(hole binary64 (* 1/6 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	((/ (- x (sin x)) (tan x)) (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) (* (+ (* (* x x) -11/15120) -23/360) x) (+ (* (* x x) -11/15120) -23/360) (* x x) x -11/15120 -23/360 (* 1/6 x) 1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) (* (+ (* (pow x -2) 1/6) -23/360) x) (+ (* (pow x -2) 1/6) -23/360) (pow x -2) -2 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3/2) (* (pow x 3/2) 1/6)) (pow x 3/2) 3/2 (* (pow x 3/2) 1/6) (tan x))
4.0ms	x	@	inf	((/ (- x (sin x)) (tan x)) (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) (* (+ (* (* x x) -11/15120) -23/360) x) (+ (* (* x x) -11/15120) -23/360) (* x x) x -11/15120 -23/360 (* 1/6 x) 1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) (* (+ (* (pow x -2) 1/6) -23/360) x) (+ (* (pow x -2) 1/6) -23/360) (pow x -2) -2 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3/2) (* (pow x 3/2) 1/6)) (pow x 3/2) 3/2 (* (pow x 3/2) 1/6) (tan x))
4.0ms	x	@	0	((/ (- x (sin x)) (tan x)) (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) (* (+ (* (* x x) -11/15120) -23/360) x) (+ (* (* x x) -11/15120) -23/360) (* x x) x -11/15120 -23/360 (* 1/6 x) 1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) (* (+ (* (pow x -2) 1/6) -23/360) x) (+ (* (pow x -2) 1/6) -23/360) (pow x -2) -2 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3/2) (* (pow x 3/2) 1/6)) (pow x 3/2) 3/2 (* (pow x 3/2) 1/6) (tan x))

Time

Variable

Point

Expression

6.0ms

-inf

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

4.0ms

inf

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

4.0ms

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

rewrite63.0ms (1.6%)

Memory

5.6MiB live, 12.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	317	2584
0	356	2460
0	1265	2353

Stop Event

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

Counts

141 → 205

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (.f64 x x) (.f64 #s(literal 1/6 binary64) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(*.f64 x x)
x
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x)
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x)
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64))
(pow.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 #s(approx (- x (sin x)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64))))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64)))
(pow.f64 x #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1/6 binary64))
(tan.f64 x)
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* x (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 1/6))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (/ 1/6 x)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) x)))
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx (* (pow x 3/2) (* (pow x 3/2) 1/6)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (pow x 3/2) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (* (pow x 3/2) 1/6) #s(hole binary64 (* 1/6 (sqrt (pow x 3)))))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -11/15120 (pow x 3))))
#s(approx (* (+ (* (* x x) -11/15120) -23/360) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 2))) 23/360)))
#s(approx (- x (sin x)) #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))
#s(approx (* (pow x 3/2) (* (pow x 3/2) 1/6)) #s(hole binary64 (* -1/6 (* (pow x 3) (pow (sqrt -1) 2)))))
#s(approx (pow x 3/2) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (* (pow x 3/2) 1/6) #s(hole binary64 (* 1/6 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) x)) x))
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) x)) x)
(.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) x)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x))) (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) x)))))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) x (.f64 #s(literal 1/6 binary64) x))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (.f64 x x) (.f64 #s(literal 1/6 binary64) x))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) x))
(fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (.f64 #s(literal 1/6 binary64) x))
(fma.f64 #s(literal 1/6 binary64) x (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x #s(literal 1/6 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) x))
(+.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) (.f64 (.f64 x x) #s(literal -11/15120 binary64))) #s(literal 529/129600 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal 3 binary64)) #s(literal -12167/46656000 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) (.f64 (.f64 x x) #s(literal -11/15120 binary64)) (-.f64 #s(literal 529/129600 binary64) (.f64 (.f64 (*.f64 x x) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))
(fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))
(+.f64 (.f64 (.f64 x x) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))
(+.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) (*.f64 x x))
(.f64 x (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x))
(.f64 #s(approx (+ ( (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
(.f64 x #s(approx (+ ( (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) (.f64 x x))
(.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)) #s(literal 1/36 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64)))))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) (*.f64 x x)))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x)
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) (*.f64 x x))
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#s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 23/360 binary64)) (*.f64 x x)))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) (.f64 (.f64 x x) #s(literal -23/360 binary64)))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 23/360 binary64)) (*.f64 x x)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (*.f64 #s(literal -23/360 binary64) x))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 23/360 binary64)) x))
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(literal -23/360 binary64))
#s(approx (+ (* (pow x -2) 1/6) -23/360) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 23/360 binary64)))
#s(approx (- x (sin x)) x)
#s(approx (- x (sin x)) (*.f64 (fma.f64 (/.f64 (sin.f64 x) x) #s(literal -1 binary64) #s(literal 1 binary64)) x))
#s(approx (tan x) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (neg.f64 (*.f64 (fma.f64 (/.f64 (cos.f64 x) (sin.f64 x)) #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) x)))
#s(approx (+ (* (* (+ (* (* x x) -11/15120) -23/360) x) (* x x)) (* 1/6 x)) (neg.f64 (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (neg.f64 (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (neg.f64 (.f64 (-.f64 #s(literal 23/360 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (neg.f64 (.f64 (-.f64 #s(literal 23/360 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) x)))
#s(approx (- x (sin x)) (neg.f64 (*.f64 (-.f64 (/.f64 (sin.f64 x) x) #s(literal 1 binary64)) x)))
#s(approx (* (pow x 3/2) (* (pow x 3/2) 1/6)) (.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 binary64)))
#s(approx (pow x 3/2) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
#s(approx (* (pow x 3/2) 1/6) (.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1/6 binary64)))

eval28.0ms (0.7%)

Memory: -1.7MiB live, 21.2MiB allocated; 3ms collecting garbage
Compiler: Compiled 8 515 to 1 068 computations (87.5% saved)

prune21.0ms (0.5%)

Memory

-1.1MiB live, 18.1MiB allocated; 2ms collecting garbage

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	298	4	302
Fresh	1	3	4
Picked	2	3	5
Done	0	2	2
Total	301	12	313

Accuracy

100.0%

Counts

313 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.2%	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(approx (tan x) x))
✓	99.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
✓	99.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
▶	44.9%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x))
	44.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x))
▶	44.9%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 #s(approx (+ (* (pow x -2) 1/6) -23/360) (/.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (.f64 x x))) x) x)) x) x))
▶	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 #s(approx ( (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x) x))
✓	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	23.0%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 518 to 341 computations (34.2% saved)

series12.0ms (0.3%)

Memory

-0.6MiB live, 7.2MiB allocated; 0ms collecting garbage

Counts

37 → 76

Calls

Call 1

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

Outputs
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 1/6))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (/ 1/6 x)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) x)))
#s(approx (/ 1/6 x) #s(hole binary64 (/ 1/6 x)))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) #s(hole binary64 1/6))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) #s(hole binary64 (/ 1/6 x)))
#s(approx (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) x)))
#s(approx (+ (* (/ 1 (* x x)) 1/6) -23/360) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (+ (* (/ 1 (* x x)) 1/6) -23/360) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))))
#s(approx (/ (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (/ (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx (* (pow x 3) 1/6) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) #s(hole binary64 (* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* (/ 1 (* x x)) 1/6) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (/ 1 (* x x)) 1/6) -23/360) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 2))) 23/360)))
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 2))) 23/360)))
#s(approx (/ (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 -23/360))
#s(approx (/ (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 2))) 23/360)))
#s(approx (- x (sin x)) #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) #s(hole binary64 (* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((/ (- x (sin x)) (tan x)) (* (+ (* (* x x) -23/360) 1/6) (* x x)) (+ (* (* x x) -23/360) 1/6) (* x x) x -23/360 1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) (* (+ (* (pow x -2) 1/6) -23/360) x) (/ 1/6 x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) (+ (* (/ 1 (* x x)) 1/6) -23/360) (/ 1 (* x x)) 1 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) (* (+ (* (pow x -2) 1/6) -23/360) x) (+ (* (pow x -2) 1/6) -23/360) (/ (+ (* (* x x) -23/360) 1/6) (* x x)) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x))
3.0ms	x	@	-inf	((/ (- x (sin x)) (tan x)) (* (+ (* (* x x) -23/360) 1/6) (* x x)) (+ (* (* x x) -23/360) 1/6) (* x x) x -23/360 1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) (* (+ (* (pow x -2) 1/6) -23/360) x) (/ 1/6 x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) (+ (* (/ 1 (* x x)) 1/6) -23/360) (/ 1 (* x x)) 1 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) (* (+ (* (pow x -2) 1/6) -23/360) x) (+ (* (pow x -2) 1/6) -23/360) (/ (+ (* (* x x) -23/360) 1/6) (* x x)) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x))
2.0ms	x	@	0	((/ (- x (sin x)) (tan x)) (* (+ (* (* x x) -23/360) 1/6) (* x x)) (+ (* (* x x) -23/360) 1/6) (* x x) x -23/360 1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) (* (+ (* (pow x -2) 1/6) -23/360) x) (/ 1/6 x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) (+ (* (/ 1 (* x x)) 1/6) -23/360) (/ 1 (* x x)) 1 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) (* (+ (* (pow x -2) 1/6) -23/360) x) (+ (* (pow x -2) 1/6) -23/360) (/ (+ (* (* x x) -23/360) 1/6) (* x x)) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x))

Time

Variable

Point

Expression

5.0ms

inf

((/ (- x (sin x)) (tan x)) (* (+ (* (* x x) -23/360) 1/6) (* x x)) (+ (* (* x x) -23/360) 1/6) (* x x) x -23/360 1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) (* (+ (* (pow x -2) 1/6) -23/360) x) (/ 1/6 x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) (+ (* (/ 1 (* x x)) 1/6) -23/360) (/ 1 (* x x)) 1 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) (* (+ (* (pow x -2) 1/6) -23/360) x) (+ (* (pow x -2) 1/6) -23/360) (/ (+ (* (* x x) -23/360) 1/6) (* x x)) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x))

3.0ms

-inf

((/ (- x (sin x)) (tan x)) (* (+ (* (* x x) -23/360) 1/6) (* x x)) (+ (* (* x x) -23/360) 1/6) (* x x) x -23/360 1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) (* (+ (* (pow x -2) 1/6) -23/360) x) (/ 1/6 x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) (+ (* (/ 1 (* x x)) 1/6) -23/360) (/ 1 (* x x)) 1 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) (* (+ (* (pow x -2) 1/6) -23/360) x) (+ (* (pow x -2) 1/6) -23/360) (/ (+ (* (* x x) -23/360) 1/6) (* x x)) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x))

2.0ms

((/ (- x (sin x)) (tan x)) (* (+ (* (* x x) -23/360) 1/6) (* x x)) (+ (* (* x x) -23/360) 1/6) (* x x) x -23/360 1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) (* (+ (* (pow x -2) 1/6) -23/360) x) (/ 1/6 x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) (+ (* (/ 1 (* x x)) 1/6) -23/360) (/ 1 (* x x)) 1 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) (* (+ (* (pow x -2) 1/6) -23/360) x) (+ (* (pow x -2) 1/6) -23/360) (/ (+ (* (* x x) -23/360) 1/6) (* x x)) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x))

rewrite176.0ms (4.5%)

Memory

4.0MiB live, 40.6MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	242	1826
0	274	1674
1	976	1666
0	6872	1651

Stop Event

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

Counts

113 → 382

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 #s(approx ( (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x) x))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 #s(approx ( (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x) x)
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 #s(approx ( (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 #s(approx ( (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x))
(.f64 #s(approx ( (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x))
(/.f64 #s(literal 1/6 binary64) x)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x)
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x))
(.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 #s(approx (+ (* (pow x -2) 1/6) -23/360) (/.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (.f64 x x))) x) x)) x) x))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 #s(approx (+ (* (pow x -2) 1/6) -23/360) (/.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (.f64 x x))) x) x)) x) x)
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (.f64 #s(approx (+ (* (pow x -2) 1/6) -23/360) (/.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (.f64 x x))) x) x)) x)
#s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 #s(approx (+ (* (pow x -2) 1/6) -23/360) (/.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (.f64 x x))) x) x))
(.f64 (.f64 #s(approx (+ (* (pow x -2) 1/6) -23/360) (/.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (.f64 x x))) x) x)
(.f64 #s(approx (+ ( (pow x -2) 1/6) -23/360) (/.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (.f64 x x))) x)
#s(approx (+ (* (pow x -2) 1/6) -23/360) (/.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (.f64 x x)))
(/.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (.f64 x x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(approx (tan x) x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (tan x) x)
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 1/6))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (/ 1/6 x)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) x)))
#s(approx (/ 1/6 x) #s(hole binary64 (/ 1/6 x)))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) #s(hole binary64 1/6))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) #s(hole binary64 (/ 1/6 x)))
#s(approx (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) x)))
#s(approx (+ (* (/ 1 (* x x)) 1/6) -23/360) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (+ (* (/ 1 (* x x)) 1/6) -23/360) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))))
#s(approx (/ (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (/ (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))))
#s(approx (- x (sin x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (- x (sin x)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))))
#s(approx (* (pow x 3) 1/6) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (tan x) #s(hole binary64 x))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (+ (* (* x x) -23/360) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -23/360 (pow x 3))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (+ (* -23/360 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* (+ (* (pow x -2) 1/6) -23/360) x) x) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) x) #s(hole binary64 (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) #s(hole binary64 (* x (- (* 1/6 (/ 1 (pow x 2))) 23/360))))
#s(approx (+ (* (/ 1 (* x x)) 1/6) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (/ 1 (* x x)) 1/6) -23/360) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 2))) 23/360)))
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (pow x -2) 1/6) -23/360) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 2))) 23/360)))
#s(approx (/ (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 -23/360))
#s(approx (/ (+ (* (* x x) -23/360) 1/6) (* x x)) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 2))) 23/360)))
#s(approx (- x (sin x)) #s(hole binary64 x))
#s(approx (- x (sin x)) #s(hole binary64 (* x (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) #s(hole binary64 (* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/6) -23/360) x) #s(hole binary64 (* -1 (* x (- 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(.f64 x (.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x))
(/.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -12167/46656000 binary64) #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 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) #s(literal 1/36 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -12167/46656000 binary64) #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) (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) #s(literal 1/36 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))))))
(fma.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
(fma.f64 (.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
(fma.f64 (.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (fabs.f64 x)) (fabs.f64 x) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (neg.f64 x)) (neg.f64 x) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/6 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 (.f64 x x) #s(literal -23/360 binary64))) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/6 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal -23/360 binary64))) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 #s(literal -23/360 binary64) x) (pow.f64 x #s(literal 3 binary64)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -23/360 binary64) x) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
(fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x (.f64 #s(literal 1/6 binary64) x) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
(-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 #s(literal 23/360 binary64) (.f64 x x)) (.f64 x x)))
(-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 x x) #s(literal -23/360 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
(/.f64 (-.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 #s(literal 23/360 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -23/360 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64))) (neg.f64 (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 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) #s(literal 1/36 binary64))))
(/.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -12167/46656000 binary64) #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 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) #s(literal 1/36 binary64)))
(fma.f64 (*.f64 #s(literal -23/360 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal -23/360 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/6 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 #s(literal -23/360 binary64) x) #s(literal 1/6 binary64))
(-.f64 (/.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))) (/.f64 (.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -23/360 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) #s(literal -1/6 binary64))
(-.f64 #s(literal 1/6 binary64) (.f64 (neg.f64 (.f64 #s(literal -23/360 binary64) x)) x))
(-.f64 #s(literal 1/6 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal -23/360 binary64)))
(-.f64 #s(literal 1/6 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -23/360 binary64) x)))
(-.f64 #s(literal 1/6 binary64) (.f64 #s(literal 23/360 binary64) (.f64 x x)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) #s(literal 3 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 #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 #s(literal 1/216 binary64) (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) #s(literal 1/36 binary64))))
(+.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -23/360 binary64)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 #s(approx ( (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x))))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 #s(approx ( (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 #s(approx ( (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 x x) #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 #s(approx ( (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 #s(approx ( (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x) x)
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 #s(approx ( (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) (*.f64 x x))
(.f64 x (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 #s(approx ( (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x))
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 #s(approx ( (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x)
(.f64 x #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 #s(approx ( (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)))
#s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 #s(approx ( (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x))
(.f64 #s(approx ( (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)
(.f64 x #s(approx ( (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1/6 binary64) (neg.f64 x))
(/.f64 #s(literal 1/6 binary64) x)
(neg.f64 (/.f64 #s(literal -1/6 binary64) x))
(neg.f64 (/.f64 #s(literal 1/6 binary64) (neg.f64 x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (.f64 x x)))))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (.f64 x x))) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (.f64 x x))) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 x x) #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (.f64 x x))))
(.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (.f64 x x))) x) x)
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (.f64 x x))) (*.f64 x x))
(.f64 x (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (.f64 x x))) x))
(.f64 #s(approx (+ ( -23/360 (* x x)) 1/6) (.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (.f64 x x))) x)
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#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))
#s(approx (tan x) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (fma.f64 (/.f64 (cos.f64 x) x) #s(literal -1 binary64) (/.f64 (cos.f64 x) (sin.f64 x))) x))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) x) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64))))
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))

eval53.0ms (1.4%)

Memory: 1.8MiB live, 41.2MiB allocated; 4ms collecting garbage
Compiler: Compiled 17 002 to 2 648 computations (84.4% saved)

prune22.0ms (0.5%)

Memory

-5.4MiB live, 26.3MiB allocated; 3ms collecting garbage

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	494	8	502
Fresh	1	1	2
Picked	1	4	5
Done	0	5	5
Total	496	18	514

Accuracy

100.0%

Counts

514 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.2%	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(approx (tan x) x))
	86.2%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) #s(approx (tan x) x))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) (.f64 x x)) (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) #s(literal 1/36 binary64))))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
✓	99.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
✓	99.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
	44.9%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x))
✓	44.9%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) x) x)) x) x))
	45.0%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 #s(approx (+ (* (pow x -2) 1/6) -23/360) (/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) #s(literal 1/36 binary64)) (.f64 x x)))) x) x)) x) x))
	45.0%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 #s(approx (+ (* (pow x -2) 1/6) -23/360) (/.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)) (*.f64 x x)))) x) x)) x) x))
	44.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 #s(approx (+ (* (pow x -2) 1/6) -23/360) (/.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) #s(literal 1/6 binary64)) (*.f64 x x))) x) x)) x) x))
	44.1%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 x x) #s(approx (+ (* (pow x -2) 1/6) -23/360) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)))) x) x))
✓	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 #s(approx ( (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x) x))
✓	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	23.0%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 1 319 to 558 computations (57.7% saved)

regimes14.0ms (0.4%)

Memory

-4.1MiB live, 7.8MiB allocated; 1ms collecting garbage

Counts

27 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	x
5.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 #s(approx ( (+ (* (pow x -2) 1/6) -23/360) x) (/.f64 #s(literal 1/6 binary64) x)) x)) x) x))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) #s(approx (tan x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #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 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #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
99.8%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
99.8%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0.1%)

Memory

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

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
1.0ms	(/.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)

regimes2.0ms (0.1%)

Memory

-5.4MiB live, 2.5MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs

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

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

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) #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
99.3%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
99.3%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#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 x x) #s(literal 1/6 binary64)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
99.3%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

simplify51.0ms (1.3%)

Memory

2.6MiB live, 10.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	105
1	54	105
2	106	105
3	204	105
4	312	105
5	380	105
6	477	105
7	747	105
8	1827	105
9	7411	105

Stop Event

1×	node limit

Calls

Call 1

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

derivations112.0ms (2.8%)

Memory

-6.0MiB live, 1.9MiB allocated; 1ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 105 to 38 computations (63.8% saved)

preprocess27.0ms (0.7%)

Memory: 1.8MiB live, 17.1MiB allocated; 2ms collecting garbage
Remove: (abs x)
Compiler: Compiled 282 to 124 computations (56% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample2.5s (63.6%)

explain192.0ms (4.9%)

preprocess187.0ms (4.7%)

eval0.0ms (0%)

prune0.0ms (0%)

series4.0ms (0.1%)

rewrite159.0ms (4%)

eval6.0ms (0.1%)

prune4.0ms (0.1%)

series15.0ms (0.4%)

rewrite161.0ms (4.1%)

eval75.0ms (1.9%)

prune22.0ms (0.6%)

series16.0ms (0.4%)

rewrite63.0ms (1.6%)

eval28.0ms (0.7%)

prune21.0ms (0.5%)

series12.0ms (0.3%)

rewrite176.0ms (4.5%)

eval53.0ms (1.4%)

prune22.0ms (0.5%)

regimes14.0ms (0.4%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0%)

simplify51.0ms (1.3%)

derivations112.0ms (2.8%)

preprocess27.0ms (0.7%)

end0.0ms (0%)

Profiling