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

4.5MiB live, 4.5MiB 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)

sample4.1s (65.7%)

Memory

-39.0MiB live, 3 657.0MiB allocated; 2.1s collecting garbage

Samples

3.2s	5 709×	2	valid
386.0ms	2 471×	1	valid
4.0ms	76×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.2s

ival-sin: 2.3s (71.2% of total)

adjust: 421.0ms (13% of total)

ival-div: 307.0ms (9.5% of total)

ival-sub: 147.0ms (4.5% of total)

ival-tan: 57.0ms (1.8% of total)

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

Bogosity

explain240.0ms (3.9%)

Memory

9.3MiB live, 403.8MiB allocated; 36ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
98	1	(-2.58200408916683e-108)	0	-	`(-.f64 x (sin.f64 x))`
51	0	-	5	(2.6564443758877838e-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	99	0
`/.f64`	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`	u/n	46	0
↳	`(-.f64 x (sin.f64 x))`	underflow	157

Confusion

	Predicted +	Predicted -
+	145	0
-	0	111

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	145	0	0
-	0	0	111

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	111
1	145

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

167.0ms	340×	2	valid
26.0ms	168×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-sin: 120.0ms (70% of total)

adjust: 31.0ms (18.1% of total)

ival-div: 9.0ms (5.2% of total)

ival-sub: 7.0ms (4.1% of total)

ival-tan: 4.0ms (2.3% of total)

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

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

preprocess261.0ms (4.2%)

Memory

39.3MiB live, 257.9MiB allocated; 47ms 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.9%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

series11.0ms (0.2%)

Memory

-35.8MiB live, 8.4MiB allocated; 9ms 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
8.0ms	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))

rewrite230.0ms (3.7%)

Memory

4.1MiB live, 198.6MiB allocated; 50ms 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: 11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 876 to 223 computations (74.5% saved)

prune5.0ms (0.1%)

Memory

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

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	51	6	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	6	58

Accuracy

99.9%

Counts

58 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.5%	(/.f64 #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)))) (tan.f64 x))
▶	82.2%	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) x) x) #s(literal 23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
▶	99.6%	#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))
▶	99.3%	#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))
▶	98.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 254 to 166 computations (34.6% saved)

series70.0ms (1.1%)

Memory

-28.7MiB live, 24.0MiB allocated; 12ms collecting garbage

Counts

34 → 96

Calls

Call 1

Inputs
#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)
(*.f64 x x)
x
#s(literal 11/15120 binary64)
#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 (.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 #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 (* (+ (* (- (* (* (- (* -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 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 (* (* (+ (* (- (* -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 (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 (* (+ (* (- (* (* (- (* -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 (* (* (+ (* -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 (* (* (+ (* (- (* -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 (- 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 (* (+ (* (- (* -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 (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))

Calls

3 calls:

Time	Variable		Point	Expression
54.0ms	x	@	-inf	((/ (- 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 (* x x) x 11/15120 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)) (* (* (+ (* (- (* -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 (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x))
6.0ms	x	@	inf	((/ (- 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 (* x x) x 11/15120 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)) (* (* (+ (* (- (* -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 (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)) (* (+ (* (- (* (* (- (* -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 (* x x) x 11/15120 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)) (* (* (+ (* (- (* -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 (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) 3 (tan x))

Time

Variable

Point

Expression

54.0ms

-inf

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

6.0ms

inf

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

rewrite206.0ms (3.3%)

Memory

11.6MiB live, 247.8MiB allocated; 64ms 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 (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)
(*.f64 x x)
x
#s(literal 11/15120 binary64)
#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 (.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 #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 (* (+ (* (- (* (* (- (* -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 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 (* (* (+ (* (- (* -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 (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 (* (+ (* (- (* (* (- (* -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 (* (* (+ (* -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 (* (* (+ (* (- (* -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 (- 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 (* (+ (* (- (* -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 (- 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 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
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#s(approx (* (+ (* -23/360 (* x x)) 1/6) 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 3 binary64))))
#s(approx (+ (* -23/360 (* x x)) 1/6) (.f64 (.f64 x x) #s(literal -23/360 binary64)))
#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))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64)))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -11/15120 binary64))))
#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)))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64)))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (*.f64 (fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -11/15120 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 5 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)))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64)))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (*.f64 (fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -11/15120 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (*.f64 (-.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))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* -11/15120 (* x x)) 23/360) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))
#s(approx (- (* -11/15120 (* x x)) 23/360) (.f64 (fma.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -11/15120 binary64)) (.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 (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 (* (+ (* -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 (* (+ (* (- (* -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 (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))

eval77.0ms (1.2%)

Memory: 10.3MiB live, 99.8MiB allocated; 12ms collecting garbage
Compiler: Compiled 18 336 to 2 558 computations (86% saved)

prune50.0ms (0.8%)

Memory

10.4MiB live, 63.6MiB allocated; 10ms collecting garbage

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	627	15	642
Fresh	0	1	1
Picked	3	2	5
Done	0	0	0
Total	630	18	648

Accuracy

99.9%

Counts

648 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.5%	(/.f64 #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)))) (tan.f64 x))
	82.1%	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
	82.1%	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(approx (tan x) x))
▶	82.2%	(/.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))
	82.2%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
	82.3%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) (tan.f64 x))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
	16.2%	#s(approx (/ (- x (sin x)) (tan x)) (/.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)))))))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
	95.2%	#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)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x))
	99.3%	#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)))
✓	99.3%	#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))
▶	98.3%	#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))
✓	98.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	15.1%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 #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))))))) (*.f64 x x)))
▶	29.2%	#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 897 to 561 computations (37.5% saved)

series22.0ms (0.4%)

Memory

-2.3MiB live, 42.4MiB allocated; 5ms collecting garbage

Counts

37 → 118

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x)
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
(*.f64 x x)
x
#s(literal -143/604800 binary64)
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
(.f64 (.f64 x 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)) 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 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
#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)))))
#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 (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)))
(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)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 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) -143/604800) -11/15120) x) x) -23/360) x) x) (* x x)) (* (* x x) 1/6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) (* x x)) (* (* x x) 1/6)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) (* x x)) (* (* x x) 1/6)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) (* x x)) (* (* x x) 1/6)) #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) -143/604800) -11/15120) x) x) -23/360) x) x) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) #s(hole binary64 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
#s(approx (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) #s(hole binary64 (* x (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) #s(hole binary64 (* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
#s(approx (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) #s(hole binary64 (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
#s(approx (* (+ (* (* x x) -143/604800) -11/15120) x) #s(hole binary64 (* -11/15120 x)))
#s(approx (* (+ (* (* x x) -143/604800) -11/15120) x) #s(hole binary64 (* x (- (* -143/604800 (pow x 2)) 11/15120))))
#s(approx (+ (* (* x x) -143/604800) -11/15120) #s(hole binary64 -11/15120))
#s(approx (+ (* (* x x) -143/604800) -11/15120) #s(hole binary64 (- (* -143/604800 (pow x 2)) 11/15120)))
#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 (* (* (+ (* (- (* -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) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -143/604800) -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 (* (+ (* (+ (* (+ (* (* x x) -143/604800) -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 (* (+ (* (+ (* (+ (* (* x x) -143/604800) -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 (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* (* x x) -143/604800) -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) -143/604800) -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 (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(hole binary64 (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 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 (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (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 (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#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) -143/604800) -11/15120) x) x) -23/360) x) x) (* x x)) (* (* x x) 1/6)) #s(hole binary64 (* -143/604800 (pow x 8))))
#s(approx (+ (* (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) (* x x)) (* (* x x) 1/6)) #s(hole binary64 (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) (* x x)) (* (* x x) 1/6)) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) (* x x)) (* (* x x) 1/6)) #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 (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) #s(hole binary64 (* -143/604800 (pow x 6))))
#s(approx (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) #s(hole binary64 (* -143/604800 (pow x 5))))
#s(approx (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) #s(hole binary64 (* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (* x x) -143/604800) -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 (* (+ (* (* x x) -143/604800) -11/15120) x) #s(hole binary64 (* -143/604800 (pow x 3))))
#s(approx (* (+ (* (* x x) -143/604800) -11/15120) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) -143/604800) -11/15120) #s(hole binary64 (* -143/604800 (pow x 2))))
#s(approx (+ (* (* x x) -143/604800) -11/15120) #s(hole binary64 (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 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) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -143/604800 (pow x 8))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -143/604800) -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 (* (+ (* (+ (* (+ (* (* x x) -143/604800) -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 (* (+ (* (+ (* (+ (* (* x x) -143/604800) -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 (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(hole binary64 (* -143/604800 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* (* x x) -143/604800) -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 (+ (* (+ (* (+ (* (* x x) -143/604800) -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 (+ (* (+ (* (+ (* (* x x) -143/604800) -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 (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -143/604800) -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 (* (* (+ (* -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 (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) #s(hole binary64 (* (pow x 4) (- (* 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) -143/604800) -11/15120) x) x) -23/360) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#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 (- 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
9.0ms	x	@	inf	((/ (- x (sin x)) (tan x)) (+ (* (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) (* x x)) (* (* x x) 1/6)) (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) (* (+ (* (* x x) -143/604800) -11/15120) x) (+ (* (* x x) -143/604800) -11/15120) (* x x) x -143/604800 -11/15120 -23/360 (* (* x x) 1/6) 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) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) (+ (* (pow x -2) 1/6) -23/360) (pow x -2) -2 (pow x 4) 4 (/ (- 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))
6.0ms	x	@	-inf	((/ (- x (sin x)) (tan x)) (+ (* (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) (* x x)) (* (* x x) 1/6)) (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) (* (+ (* (* x x) -143/604800) -11/15120) x) (+ (* (* x x) -143/604800) -11/15120) (* x x) x -143/604800 -11/15120 -23/360 (* (* x x) 1/6) 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) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) (+ (* (pow x -2) 1/6) -23/360) (pow x -2) -2 (pow x 4) 4 (/ (- 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) -143/604800) -11/15120) x) x) -23/360) x) x) (* x x)) (* (* x x) 1/6)) (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) (* (+ (* (* x x) -143/604800) -11/15120) x) (+ (* (* x x) -143/604800) -11/15120) (* x x) x -143/604800 -11/15120 -23/360 (* (* x x) 1/6) 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) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) (+ (* (pow x -2) 1/6) -23/360) (pow x -2) -2 (pow x 4) 4 (/ (- 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

9.0ms

inf

((/ (- x (sin x)) (tan x)) (+ (* (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) (* x x)) (* (* x x) 1/6)) (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) (* (+ (* (* x x) -143/604800) -11/15120) x) (+ (* (* x x) -143/604800) -11/15120) (* x x) x -143/604800 -11/15120 -23/360 (* (* x x) 1/6) 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) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) (+ (* (pow x -2) 1/6) -23/360) (pow x -2) -2 (pow x 4) 4 (/ (- 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))

6.0ms

-inf

((/ (- x (sin x)) (tan x)) (+ (* (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) (* x x)) (* (* x x) 1/6)) (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) (* (+ (* (* x x) -143/604800) -11/15120) x) (+ (* (* x x) -143/604800) -11/15120) (* x x) x -143/604800 -11/15120 -23/360 (* (* x x) 1/6) 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) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) (+ (* (pow x -2) 1/6) -23/360) (pow x -2) -2 (pow x 4) 4 (/ (- 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) -143/604800) -11/15120) x) x) -23/360) x) x) (* x x)) (* (* x x) 1/6)) (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) (* (+ (* (* x x) -143/604800) -11/15120) x) (+ (* (* x x) -143/604800) -11/15120) (* x x) x -143/604800 -11/15120 -23/360 (* (* x x) 1/6) 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) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (* x x)) (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) (+ (* (pow x -2) 1/6) -23/360) (pow x -2) -2 (pow x 4) 4 (/ (- 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))

rewrite74.0ms (1.2%)

Memory

-9.8MiB live, 79.7MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	360	3197
0	408	3057
0	1484	2960

Stop Event

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

Counts

155 → 235

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x)
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x)
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
(*.f64 x x)
x
#s(literal -143/604800 binary64)
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
(.f64 (.f64 x 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)) 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 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
#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)))))
#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 (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)))
(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)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 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) -143/604800) -11/15120) x) x) -23/360) x) x) (* x x)) (* (* x x) 1/6)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) (* x x)) (* (* x x) 1/6)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (+ (* (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) (* x x)) (* (* x x) 1/6)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) (* x x)) (* (* x x) 1/6)) #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) -143/604800) -11/15120) x) x) -23/360) x) x) #s(hole binary64 (* -23/360 (pow x 2))))
#s(approx (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) #s(hole binary64 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
#s(approx (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) #s(hole binary64 (* x (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) #s(hole binary64 (* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
#s(approx (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) #s(hole binary64 (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
#s(approx (* (+ (* (* x x) -143/604800) -11/15120) x) #s(hole binary64 (* -11/15120 x)))
#s(approx (* (+ (* (* x x) -143/604800) -11/15120) x) #s(hole binary64 (* x (- (* -143/604800 (pow x 2)) 11/15120))))
#s(approx (+ (* (* x x) -143/604800) -11/15120) #s(hole binary64 -11/15120))
#s(approx (+ (* (* x x) -143/604800) -11/15120) #s(hole binary64 (- (* -143/604800 (pow x 2)) 11/15120)))
#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 (* (* (+ (* (- (* -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) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -143/604800) -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 (* (+ (* (+ (* (+ (* (* x x) -143/604800) -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 (* (+ (* (+ (* (+ (* (* x x) -143/604800) -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 (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (+ (* (+ (* (* x x) -143/604800) -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) -143/604800) -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 (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(hole binary64 (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 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 (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (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 (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#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) -143/604800) -11/15120) x) x) -23/360) x) x) (* x x)) (* (* x x) 1/6)) #s(hole binary64 (* -143/604800 (pow x 8))))
#s(approx (+ (* (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) (* x x)) (* (* x x) 1/6)) #s(hole binary64 (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) (* x x)) (* (* x x) 1/6)) #s(hole binary64 (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) (* x x)) (* (* x x) 1/6)) #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 (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) #s(hole binary64 (* -143/604800 (pow x 6))))
#s(approx (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) x) #s(hole binary64 (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) #s(hole binary64 (* -143/604800 (pow x 5))))
#s(approx (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) x) #s(hole binary64 (* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))))
#s(approx (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (+ (* (* (+ (* (* x x) -143/604800) -11/15120) x) x) -23/360) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (* x x) -143/604800) -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 (* (+ (* (* x x) -143/604800) -11/15120) x) #s(hole binary64 (* -143/604800 (pow x 3))))
#s(approx (* (+ (* (* x x) -143/604800) -11/15120) x) #s(hole binary64 (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) -143/604800) -11/15120) #s(hole binary64 (* -143/604800 (pow x 2))))
#s(approx (+ (* (* x x) -143/604800) -11/15120) #s(hole binary64 (* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 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) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -143/604800 (pow x 8))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -143/604800) -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 (* (+ (* (+ (* (+ (* (* x x) -143/604800) -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 (* (+ (* (+ (* (+ (* (* x x) -143/604800) -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 (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(hole binary64 (* -143/604800 (pow x 6))))
#s(approx (+ (* (+ (* (+ (* (* x x) -143/604800) -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 (+ (* (+ (* (+ (* (* x x) -143/604800) -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 (+ (* (+ (* (+ (* (* x x) -143/604800) -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 (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(hole binary64 (* -143/604800 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(hole binary64 (* -1 (* (pow x 4) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -143/604800) -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 (* (* (+ (* -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 (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) #s(hole binary64 (* (pow x 4) (- (* 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) -143/604800) -11/15120) x) x) -23/360) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))))
#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 (- 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)) (fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) (pow.f64 x #s(literal 3 binary64)) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (-.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) (pow.f64 x #s(literal 3 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) #s(literal 1/6 binary64))))))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x)) x) x (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) (pow.f64 x #s(literal 3 binary64)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x (.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) (pow.f64 x #s(literal 3 binary64))) (.f64 (neg.f64 (.f64 x x)) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) (pow.f64 x #s(literal 3 binary64))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x)
(.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)))
(.f64 x (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x)
(.f64 x (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x)) #s(literal 529/129600 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x) #s(literal -23/360 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x) #s(literal 3 binary64)) #s(literal -12167/46656000 binary64)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x) (-.f64 #s(literal 529/129600 binary64) (.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x) #s(literal -23/360 binary64)))))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))
(fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) #s(literal -23/360 binary64))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x) #s(literal -23/360 binary64))
(+.f64 #s(literal -23/360 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) (.f64 (.f64 x x) #s(literal -143/604800 binary64))) #s(literal 121/228614400 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal 3 binary64)) #s(literal -1331/3456649728000 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) (.f64 (.f64 x x) #s(literal -143/604800 binary64)) (-.f64 #s(literal 121/228614400 binary64) (.f64 (.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64)))))
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
(fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))
(+.f64 (.f64 (.f64 x x) #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))
(+.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) #s(literal -143/604800 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 -143/604800 binary64)
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 x (.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)) (*.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 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x))) #s(literal 1/36 binary64)) (-.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)))
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(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(fma.f64 x (.f64 (fma.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) #s(literal 1/6 binary64))
(+.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x)) #s(literal 529/129600 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x) #s(literal -23/360 binary64)))
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(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))
(fma.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) #s(literal -23/360 binary64))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x) #s(literal -23/360 binary64))
(+.f64 #s(literal -23/360 binary64) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)))
(*.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 (.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) #s(literal 529/129600 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal -23/360 binary64)))
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#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (*.f64 (-.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))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64)))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (*.f64 (-.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))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (* x x)) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64)))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (* x x)) (neg.f64 (*.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 8 binary64)))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (* x x)) (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)) (.f64 x x))) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (+ (* (+ (* (+ (* (* x x) -143/604800) -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 (+ (* (+ (* (+ (* (* x x) -143/604800) -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 (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (neg.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 11/15120 binary64) #s(literal 143/604800 binary64)))))
#s(approx (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)) (.f64 x x))) #s(literal 143/604800 binary64))))
#s(approx (+ (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (.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 6 binary64))))
#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -143/604800 binary64)))
#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (neg.f64 (*.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 (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 23/360 binary64) #s(literal 11/15120 binary64)) (.f64 x x))) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (.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))))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64)))
#s(approx (* (+ (* (pow x -2) 1/6) -23/360) (pow x 4)) (.f64 (-.f64 (.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))))
#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) -143/604800) -11/15120) x) x) -23/360) x) (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (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(literal 143/604800 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 (- 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 -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 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)))

eval39.0ms (0.6%)

Memory: 21.2MiB live, 74.1MiB allocated; 8ms collecting garbage
Compiler: Compiled 11 001 to 1 203 computations (89.1% saved)

prune28.0ms (0.5%)

Memory

8.9MiB live, 54.5MiB allocated; 5ms collecting garbage

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	329	7	336
Fresh	4	7	11
Picked	2	3	5
Done	0	2	2
Total	335	19	354

Accuracy

99.9%

Counts

354 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.5%	(/.f64 #s(approx (- x (sin x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #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)))) (tan.f64 x))
	82.1%	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
	82.1%	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(approx (tan x) x))
	82.0%	(/.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)))) #s(approx (tan x) x))
	82.2%	(/.f64 #s(approx (- x (sin x)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1/6 binary64)))) (tan.f64 x))
	82.2%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
▶	82.3%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) (tan.f64 x))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
	95.2%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
▶	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x))
▶	99.3%	#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)))
✓	99.3%	#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))
✓	98.3%	#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))
✓	98.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	29.0%	#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)) (.f64 (.f64 x x) (.f64 x x)))))
▶	29.1%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
	29.1%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.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)) (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 768 to 502 computations (34.6% saved)

series54.0ms (0.9%)

Memory

-6.8MiB live, 38.8MiB allocated; 5ms collecting garbage

Counts

38 → 96

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
(.f64 (fma.f64 (fma.f64 (.f64 #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 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))
(*.f64 #s(literal -11/15120 binary64) x)
#s(literal -11/15120 binary64)
x
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
#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 #s(approx (- x (sin x)) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)))
(.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
(tan.f64 x)
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(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)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(approx (- x (sin x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #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)))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #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))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #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)))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(-.f64 (.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x)) #s(literal 1/120 binary64))
(.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x))
(fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64))
#s(literal -1/362880 binary64)
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)

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) #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) #s(hole binary64 (* -11/15120 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (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 (* (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 (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 x) (* 1/6 x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#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 (* (* (+ (* -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 (* (+ (* (/ 1 (* x x)) 1/6) -23/360) (pow x 4)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/6) -23/360) (pow x 4)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#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 4) #s(hole binary64 (pow x 4)))
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) #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 (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -1/120 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))
#s(approx (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))))
#s(approx (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) #s(hole binary64 -1/120))
#s(approx (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) #s(hole binary64 (- (* 1/5040 (pow x 2)) 1/120)))
#s(approx (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) #s(hole binary64 (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))
#s(approx (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) #s(hole binary64 (* 1/5040 (pow x 2))))
#s(approx (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2))))))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) #s(hole binary64 1/5040))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) #s(hole binary64 (+ 1/5040 (* -1/362880 (pow x 2)))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#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) #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 (* (+ (* (* 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 (- 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 (* (* (+ (* -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 (* (+ (* (/ 1 (* x x)) 1/6) -23/360) (pow x 4)) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/6) -23/360) (pow x 4)) #s(hole binary64 (* (pow x 4) (- (* 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 (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1/362880 (pow x 9))))
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))))
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))))
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* -1/362880 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))))
#s(approx (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))))
#s(approx (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) #s(hole binary64 (* -1/362880 (pow x 4))))
#s(approx (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) #s(hole binary64 (* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))))
#s(approx (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) #s(hole binary64 (* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))))
#s(approx (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) #s(hole binary64 (* -1/362880 (pow x 4))))
#s(approx (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) #s(hole binary64 (* -1/362880 (pow x 2))))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) #s(hole binary64 (* (pow x 2) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))))
#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)))))
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1 (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
43.0ms	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) (+ (* (* -11/15120 x) x) -23/360) (* -11/15120 x) -11/15120 x -23/360 (* x x) 1/6 (/ (- x (sin x)) (tan x)) (* (+ (* (* x x) -23/360) 1/6) (* x x)) (+ (* (* x x) -23/360) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* x x) (* 1/6 x)) (* 1/6 x) (tan x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* (/ 1 (* x x)) 1/6) -23/360) (pow x 4)) (+ (* (/ 1 (* x x)) 1/6) -23/360) (/ 1 (* x x)) 1 (pow x 4) 4 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) (+ (* -1/362880 (* x x)) 1/5040) -1/362880 1/5040 1/120 (pow x 3) 3)
5.0ms	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) (+ (* (* -11/15120 x) x) -23/360) (* -11/15120 x) -11/15120 x -23/360 (* x x) 1/6 (/ (- x (sin x)) (tan x)) (* (+ (* (* x x) -23/360) 1/6) (* x x)) (+ (* (* x x) -23/360) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* x x) (* 1/6 x)) (* 1/6 x) (tan x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* (/ 1 (* x x)) 1/6) -23/360) (pow x 4)) (+ (* (/ 1 (* x x)) 1/6) -23/360) (/ 1 (* x x)) 1 (pow x 4) 4 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) (+ (* -1/362880 (* x x)) 1/5040) -1/362880 1/5040 1/120 (pow x 3) 3)
5.0ms	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) (+ (* (* -11/15120 x) x) -23/360) (* -11/15120 x) -11/15120 x -23/360 (* x x) 1/6 (/ (- x (sin x)) (tan x)) (* (+ (* (* x x) -23/360) 1/6) (* x x)) (+ (* (* x x) -23/360) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* x x) (* 1/6 x)) (* 1/6 x) (tan x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* (/ 1 (* x x)) 1/6) -23/360) (pow x 4)) (+ (* (/ 1 (* x x)) 1/6) -23/360) (/ 1 (* x x)) 1 (pow x 4) 4 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) (+ (* -1/362880 (* x x)) 1/5040) -1/362880 1/5040 1/120 (pow x 3) 3)

Time

Variable

Point

Expression

43.0ms

((/ (- 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) (+ (* (* -11/15120 x) x) -23/360) (* -11/15120 x) -11/15120 x -23/360 (* x x) 1/6 (/ (- x (sin x)) (tan x)) (* (+ (* (* x x) -23/360) 1/6) (* x x)) (+ (* (* x x) -23/360) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* x x) (* 1/6 x)) (* 1/6 x) (tan x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* (/ 1 (* x x)) 1/6) -23/360) (pow x 4)) (+ (* (/ 1 (* x x)) 1/6) -23/360) (/ 1 (* x x)) 1 (pow x 4) 4 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) (+ (* -1/362880 (* x x)) 1/5040) -1/362880 1/5040 1/120 (pow x 3) 3)

5.0ms

-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) (+ (* (* -11/15120 x) x) -23/360) (* -11/15120 x) -11/15120 x -23/360 (* x x) 1/6 (/ (- x (sin x)) (tan x)) (* (+ (* (* x x) -23/360) 1/6) (* x x)) (+ (* (* x x) -23/360) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* x x) (* 1/6 x)) (* 1/6 x) (tan x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* (/ 1 (* x x)) 1/6) -23/360) (pow x 4)) (+ (* (/ 1 (* x x)) 1/6) -23/360) (/ 1 (* x x)) 1 (pow x 4) 4 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) (+ (* -1/362880 (* x x)) 1/5040) -1/362880 1/5040 1/120 (pow x 3) 3)

5.0ms

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) (+ (* (* -11/15120 x) x) -23/360) (* -11/15120 x) -11/15120 x -23/360 (* x x) 1/6 (/ (- x (sin x)) (tan x)) (* (+ (* (* x x) -23/360) 1/6) (* x x)) (+ (* (* x x) -23/360) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* x x) (* 1/6 x)) (* 1/6 x) (tan x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* (/ 1 (* x x)) 1/6) -23/360) (pow x 4)) (+ (* (/ 1 (* x x)) 1/6) -23/360) (/ 1 (* x x)) 1 (pow x 4) 4 (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) (+ (* -1/362880 (* x x)) 1/5040) -1/362880 1/5040 1/120 (pow x 3) 3)

rewrite196.0ms (3.1%)

Memory

13.5MiB live, 240.6MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	301	2402
0	350	2281
1	1333	2255
0	8761	2233

Stop Event

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

Counts

134 → 615

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
(.f64 (fma.f64 (fma.f64 (.f64 #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 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))
(*.f64 #s(literal -11/15120 binary64) x)
#s(literal -11/15120 binary64)
x
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
#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 #s(approx (- x (sin x)) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)))
(.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
(tan.f64 x)
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(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)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(approx (- x (sin x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #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)))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #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))))
(.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #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)))
(fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(-.f64 (.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x)) #s(literal 1/120 binary64))
(.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x))
(fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64))
#s(literal -1/362880 binary64)
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#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) #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) #s(hole binary64 (* -11/15120 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* x x) #s(hole binary64 (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 (* (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 (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 x) (* 1/6 x)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#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 (* (* (+ (* -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 (* (+ (* (/ 1 (* x x)) 1/6) -23/360) (pow x 4)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/6) -23/360) (pow x 4)) #s(hole binary64 (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))))
#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 4) #s(hole binary64 (pow x 4)))
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* 1/6 (pow x 3))))
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))))
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))))
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) #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 (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -1/120 (pow x 2)))))
#s(approx (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120)))))
#s(approx (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))))
#s(approx (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) #s(hole binary64 -1/120))
#s(approx (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) #s(hole binary64 (- (* 1/5040 (pow x 2)) 1/120)))
#s(approx (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) #s(hole binary64 (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120)))
#s(approx (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) #s(hole binary64 (* 1/5040 (pow x 2))))
#s(approx (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2))))))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) #s(hole binary64 1/5040))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) #s(hole binary64 (+ 1/5040 (* -1/362880 (pow x 2)))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#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) #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 (* (+ (* (* 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 (- 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 (* (* (+ (* -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 (* (+ (* (/ 1 (* x x)) 1/6) -23/360) (pow x 4)) #s(hole binary64 (* -23/360 (pow x 4))))
#s(approx (* (+ (* (/ 1 (* x x)) 1/6) -23/360) (pow x 4)) #s(hole binary64 (* (pow x 4) (- (* 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 (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1/362880 (pow x 9))))
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))))
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 9) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))))
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* (pow x 9) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* -1/362880 (pow x 6))))
#s(approx (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))))
#s(approx (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))))
#s(approx (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) #s(hole binary64 (* (pow x 6) (- (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/362880 (/ 1/120 (pow x 4)))))))
#s(approx (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) #s(hole binary64 (* -1/362880 (pow x 4))))
#s(approx (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) #s(hole binary64 (* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))))
#s(approx (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) #s(hole binary64 (* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) (+ 1/362880 (/ 1/120 (pow x 4)))))))
#s(approx (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) #s(hole binary64 (* -1/362880 (pow x 4))))
#s(approx (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) #s(hole binary64 (* -1/362880 (pow x 2))))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) #s(hole binary64 (* (pow x 2) (- (* 1/5040 (/ 1 (pow x 2))) 1/362880))))
#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)))))
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1 (* (pow x 9) (- 1/362880 (* 1/5040 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (* 1/5040 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) #s(hole binary64 (* -1 (* (pow x 9) (- (+ 1/362880 (/ 1/120 (pow x 4))) (+ (* 1/5040 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #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 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #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 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))
(.f64 x (.f64 x (fma.f64 (fma.f64 (.f64 #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 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)) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))))) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #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)) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #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)) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)))) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)))))))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) x) x) (fabs.f64 x)) (fabs.f64 x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) x) x) (neg.f64 x)) (neg.f64 x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) x) x) x) x (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #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)) (fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #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)) (fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 (.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) x) 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)) (fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 (.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) x) x)) (.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)) (fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) x) x) (.f64 x x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))))
(fma.f64 (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) x) x) (.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)) (fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))))
(fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #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)) (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64))))
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#s(literal -1/362880 binary64)
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
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(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
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#s(literal 3 binary64)
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#s(approx (+ (* (/ 1 (* x x)) 1/6) -23/360) #s(literal -23/360 binary64))
#s(approx (+ (* (/ 1 (* x x)) 1/6) -23/360) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)))
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal -1/362880 binary64)))
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64)) #s(literal 1/362880 binary64)) (pow.f64 x #s(literal 9 binary64))))
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64)) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 9 binary64))))
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) (.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64) (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64)) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 9 binary64))))
#s(approx (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/362880 binary64)))
#s(approx (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64)) #s(literal 1/362880 binary64))))
#s(approx (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64)) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))))))
#s(approx (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64) (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64)) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64)))))))
#s(approx (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/362880 binary64)))
#s(approx (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64)) #s(literal 1/362880 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64)) #s(literal 1/362880 binary64)) (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/362880 binary64)))
#s(approx (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64)) #s(literal 1/362880 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) (.f64 #s(literal -1/362880 binary64) (.f64 x x)))
#s(approx (+ (* -1/362880 (* x x)) 1/5040) (.f64 (.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64)) #s(literal 1/362880 binary64)) x) 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 (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) (.f64 (neg.f64 (-.f64 #s(literal 1/362880 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64)))) (pow.f64 x #s(literal 9 binary64))))
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) (.f64 (neg.f64 (pow.f64 x #s(literal 9 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/362880 binary64)) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64)))))
#s(approx (* (+ (* (- (* (+ (* -1/362880 (* x x)) 1/5040) (* x x)) 1/120) (* x x)) 1/6) (pow x 3)) (.f64 (neg.f64 (pow.f64 x #s(literal 9 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/362880 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/5040 binary64))))))

eval167.0ms (2.7%)

Memory: -26.6MiB live, 198.0MiB allocated; 132ms collecting garbage
Compiler: Compiled 25 022 to 3 314 computations (86.8% saved)

prune34.0ms (0.5%)

Memory

-22.5MiB live, 80.6MiB allocated; 10ms collecting garbage

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	793	7	800
Fresh	5	4	9
Picked	3	2	5
Done	0	5	5
Total	801	18	819

Accuracy

99.9%

Counts

819 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.4%	(/.f64 #s(approx (- x (sin x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x)) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))) (tan.f64 x))
	83.5%	(/.f64 #s(approx (- x (sin x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 (*.f64 x x) x))) (tan.f64 x))
	82.1%	(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(approx (tan x) x))
	82.0%	(/.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)))) #s(approx (tan x) x))
	82.2%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
	82.1%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) #s(approx (tan x) x))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x)))
✓	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x))
✓	99.3%	#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)))
✓	99.3%	#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))
✓	98.3%	#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))
✓	98.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	29.1%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))))
	29.1%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (.f64 (.f64 x x) (*.f64 x x)))))
	29.1%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1/6 binary64) (neg.f64 x)) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
	26.1%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (/.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))) (pow.f64 x #s(literal 4 binary64)))))

Compiler

Compiled 1 422 to 515 computations (63.8% saved)

regimes21.0ms (0.3%)

Memory

-6.2MiB live, 39.3MiB allocated; 4ms collecting garbage

Counts

36 → 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)))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) #s(approx (tan x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.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 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (.f64 (.f64 x x) (*.f64 x x)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 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)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 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)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) x) x #s(literal -23/360 binary64)) x) x) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) #s(approx (tan x) x))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 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)) (.f64 (.f64 x x) (.f64 x x)))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1/6 binary64) (neg.f64 x)) #s(literal -23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(approx (- x (sin x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x)) #s(literal 1/120 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 (*.f64 x x) x))) (tan.f64 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))
(/.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)))) #s(approx (tan x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 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)) (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (/.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #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)))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #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)))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.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)) (pow.f64 x #s(literal 4 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))
(/.f64 #s(approx (- x (sin x)) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/362880 binary64) (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x)) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64))) #s(literal 1/6 binary64)))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 #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))))))) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.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)))))))

Outputs

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

Calls

2 calls:

10.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
9.0ms	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)

regimes7.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Counts

12 → 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)))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) #s(approx (tan x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.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 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (.f64 (.f64 x x) (*.f64 x x)))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (.f64 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)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 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)))

Outputs

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

Calls

2 calls:

3.0ms	x
3.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated; 0ms collecting garbage

Counts

9 → 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)))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) #s(approx (tan x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.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 (fma.f64 (.f64 #s(literal -11/15120 binary64) x) x #s(literal -23/360 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/6 binary64) x)) x))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/6 binary64) #s(literal -23/360 binary64)) (.f64 (.f64 x x) (*.f64 x x)))))

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

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Memory

-38.1MiB live, 7.9MiB allocated; 4ms collecting garbage

Counts

5 → 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)))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 x x) (*.f64 #s(literal 1/6 binary64) x))) #s(approx (tan x) x))

Outputs
#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)))

Calls

2 calls:

4.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
2.0ms	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)

regimes3.0ms (0%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Counts

3 → 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))

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
99.3%	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

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.1b remaining (-9.9%)

Threshold costs -0.1b (-9.9%)

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 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
98.3%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
98.3%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

simplify48.0ms (0.8%)

Memory

-4.4MiB live, 48.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	132
1	41	132
2	44	132
3	49	132
4	58	132
5	79	132
6	131	132
7	276	132
8	887	132
9	4071	132

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations234.0ms (3.8%)

Memory

9.7MiB live, 195.0MiB allocated; 17ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 132 to 35 computations (73.5% saved)

preprocess36.0ms (0.6%)

Memory: 21.8MiB live, 65.1MiB allocated; 7ms collecting garbage
Remove: (abs x)
Compiler: Compiled 352 to 124 computations (64.8% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample4.1s (65.7%)

explain240.0ms (3.9%)

preprocess261.0ms (4.2%)

eval0.0ms (0%)

prune0.0ms (0%)

series11.0ms (0.2%)

rewrite230.0ms (3.7%)

eval6.0ms (0.1%)

prune5.0ms (0.1%)

series70.0ms (1.1%)

rewrite206.0ms (3.3%)

eval77.0ms (1.2%)

prune50.0ms (0.8%)

series22.0ms (0.4%)

rewrite74.0ms (1.2%)

eval39.0ms (0.6%)

prune28.0ms (0.5%)

series54.0ms (0.9%)

rewrite196.0ms (3.1%)

eval167.0ms (2.7%)

prune34.0ms (0.5%)

regimes21.0ms (0.3%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify48.0ms (0.8%)

derivations234.0ms (3.8%)

preprocess36.0ms (0.6%)

end0.0ms (0%)

Profiling