Metrics for ENA, Section 1.4, Exercise 4a

start0.0ms (0%)

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

analyze2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample3.4s (66.8%)

Memory

50.7MiB live, 4 360.5MiB allocated; 880ms collecting garbage

Samples

2.6s	5 806×	2	valid
434.0ms	2 365×	1	valid
5.0ms	85×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.8s

ival-sin: 2.1s (75.6% of total)

adjust: 381.0ms (13.7% of total)

ival-div!: 127.0ms (4.6% of total)

ival-sub!: 111.0ms (4% of total)

ival-tan: 62.0ms (2.2% of total)

Bogosity

preprocess51.0ms (1%)

Memory

-4.7MiB live, 40.7MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	35	22
2	141	22
3	521	22
4	4724	22

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.3%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Symmetry

(abs x)

Compiler

Compiled 14 to 10 computations (28.6% saved)

series5.0ms (0.1%)

Memory

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

Counts

5 → 22

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 (+ 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 (+ 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 (+ 1 (* -1 (/ (sin x) x))))))
#s(approx (sin x) #s(hole binary64 (sin x)))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))

Calls

3 calls:

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

rewrite167.0ms (3.3%)

Memory

3.5MiB live, 192.8MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	395
0	140	386
1	733	372
0	6277	355

Stop Event

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

Counts

27 → 52

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 (+ 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 (+ 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 (+ 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 (-.f64 (.f64 x (tan.f64 x)) (.f64 (tan.f64 x) (sin.f64 x))) (*.f64 (tan.f64 x) (tan.f64 x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 x (sin.f64 x)))) (tan.f64 x))
(/.f64 (-.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (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 (-.f64 x (sin.f64 x)) (neg.f64 (tan.f64 x))))
(neg.f64 (/.f64 (neg.f64 (-.f64 x (sin.f64 x))) (tan.f64 x)))
(-.f64 (/.f64 x (tan.f64 x)) (/.f64 (sin.f64 x) (tan.f64 x)))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))))) (neg.f64 (+.f64 (sin.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) x) (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) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (+.f64 (sin.f64 x) x))
(/.f64 (-.f64 (.f64 (.f64 x x) x) (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 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 (sin.f64 x) x)))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (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 (.f64 (fma.f64 (.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)) x) x #s(literal 1/6 binary64)) x) x))
#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
#s(approx (- x (sin x)) (.f64 (.f64 (fma.f64 #s(literal -1/120 binary64) (.f64 x x) #s(literal 1/6 binary64)) x) (.f64 x x)))
#s(approx (- x (sin x)) (.f64 (.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)) x) (.f64 x x)))
#s(approx (- x (sin x)) (.f64 (fma.f64 (.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)) x) x #s(literal 1/6 binary64)) (.f64 (*.f64 x x) x)))
#s(approx x x)
#s(approx (sin x) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) #s(literal 1/6 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (sin x) (.f64 (fma.f64 (.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)) x) x #s(literal 1 binary64)) x))
#s(approx (tan x) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (.f64 (fma.f64 (.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)) x) x #s(literal 1 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 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (neg.f64 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 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (neg.f64 x))) x))
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))

eval5.0ms (0.1%)

Memory: 10.1MiB live, 10.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 830 to 229 computations (72.4% saved)

prune4.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	39	6	45
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	6	46

Accuracy

99.9%

Counts

46 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.1%	(/.f64 #s(approx (- x (sin x)) (.f64 (fma.f64 (.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)) x) x #s(literal 1/6 binary64)) (.f64 (*.f64 x x) x))) (tan.f64 x))
▶	82.8%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
▶	99.7%	#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))
▶	99.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.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)) x) x #s(literal 1/6 binary64)) x) x))
▶	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))

Compiler

Compiled 262 to 170 computations (35.1% saved)

series35.0ms (0.7%)

Memory

-11.7MiB live, 34.6MiB allocated; 3ms collecting garbage

Counts

35 → 83

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.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)) x) x #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (.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)) x) x #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (.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)) x) x #s(literal 1/6 binary64)) x)
(fma.f64 (.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)) x) x #s(literal 1/6 binary64))
(.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)) x)
(-.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 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(.f64 (.f64 x x) 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 (* (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 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 (* (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) x) #s(hole binary64 (* x (+ 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) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) #s(hole binary64 (* x (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (- (* (* (- (* -143/604800 (* x x)) 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 (- (* (* (- (* -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 (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) x) #s(hole binary64 (pow x 3)))
#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) x) #s(hole binary64 (* -143/604800 (pow x 7))))
#s(approx (* (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 7) (+ 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) #s(hole binary64 (* (pow x 7) (- (* -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) #s(hole binary64 (* (pow x 7) (- (* 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) x) #s(hole binary64 (* -143/604800 (pow x 5))))
#s(approx (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (- (* (* (- (* -143/604800 (* x x)) 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 (- (* (* (- (* -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) #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 (* -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 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#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 (* (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 7) (+ 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) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))))
#s(approx (* (- (* (* (- (* -143/604800 (* x x)) 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 (* (+ (* -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
25.0ms	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) 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) x) (- (* (* (- (* -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)) (* (* (* x x) x) 1/6) (* (* x x) x) (tan x))
5.0ms	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) 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) x) (- (* (* (- (* -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)) (* (* (* x x) x) 1/6) (* (* x x) x) (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) 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) x) (- (* (* (- (* -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)) (* (* (* x x) x) 1/6) (* (* x x) x) (tan x))

Time

Variable

Point

Expression

25.0ms

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) 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) x) (- (* (* (- (* -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)) (* (* (* x x) x) 1/6) (* (* x x) x) (tan x))

5.0ms

-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) 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) x) (- (* (* (- (* -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)) (* (* (* x x) x) 1/6) (* (* x x) x) (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) 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) x) (- (* (* (- (* -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)) (* (* (* x x) x) 1/6) (* (* x x) x) (tan x))

rewrite173.0ms (3.4%)

Memory

12.9MiB live, 300.6MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	322	2431
0	367	2314
1	1403	2303
0	8489	2136

Stop Event

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

Counts

118 → 446

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.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)) x) x #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (.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)) x) x #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (.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)) x) x #s(literal 1/6 binary64)) x)
(fma.f64 (.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)) x) x #s(literal 1/6 binary64))
(.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)) x)
(-.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 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(.f64 (.f64 x x) 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 (* (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 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 (* (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) x) #s(hole binary64 (* x (+ 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) x) #s(hole binary64 (* -23/360 x)))
#s(approx (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) #s(hole binary64 (* x (- (* -11/15120 (pow x 2)) 23/360))))
#s(approx (* (- (* (* (- (* -143/604800 (* x x)) 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 (- (* (* (- (* -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 (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) x) #s(hole binary64 (pow x 3)))
#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) x) #s(hole binary64 (* -143/604800 (pow x 7))))
#s(approx (* (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 7) (+ 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) #s(hole binary64 (* (pow x 7) (- (* -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) #s(hole binary64 (* (pow x 7) (- (* 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) x) #s(hole binary64 (* -143/604800 (pow x 5))))
#s(approx (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))))
#s(approx (* (- (* (* (- (* -143/604800 (* x x)) 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 (- (* (* (- (* -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) #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 (* -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 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#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 (* (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 7) (+ 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) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))))
#s(approx (* (- (* (* (- (* -143/604800 (* x x)) 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 (* (+ (* -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 (.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)) x) x))
(.f64 (.f64 (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)) x) x)
(.f64 (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)) (*.f64 x x))
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#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (tan x) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (.f64 (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)) (.f64 x x) #s(literal 1 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 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (neg.f64 x))) x))
#s(approx (* (* (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 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 (* (* (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) x) x) (.f64 (neg.f64 (+.f64 (/.f64 #s(literal 11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) x) x) (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal -11/15120 binary64)) (*.f64 (neg.f64 x) x)) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (* (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) x) x) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))) #s(literal 143/604800 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal -11/15120 binary64)) (.f64 x x))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -143/604800 binary64)))
#s(approx (* (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) x) (.f64 (neg.f64 (+.f64 (/.f64 #s(literal 11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) x) (.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal -11/15120 binary64)) (*.f64 (neg.f64 x) x)) #s(literal 143/604800 binary64))))
#s(approx (* (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) x) (.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))) #s(literal 143/604800 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal -11/15120 binary64)) (.f64 x x)))))
#s(approx (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) #s(literal -143/604800 binary64)))
#s(approx (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) (.f64 (neg.f64 (+.f64 (/.f64 #s(literal 11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x))))
#s(approx (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal -11/15120 binary64)) (.f64 (neg.f64 x) x)) #s(literal 143/604800 binary64))))
#s(approx (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))) #s(literal 143/604800 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal -11/15120 binary64)) (*.f64 x x)))))
#s(approx (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -143/604800 binary64)))
#s(approx (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) (.f64 (neg.f64 (+.f64 (/.f64 #s(literal 11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal -11/15120 binary64)) (*.f64 (neg.f64 x) x)) #s(literal 143/604800 binary64))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -143/604800 binary64)))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (.f64 (neg.f64 (+.f64 (/.f64 #s(literal 11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64))) (.f64 (.f64 x x) (*.f64 x x))))
#s(approx (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) (.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal -11/15120 binary64)) (.f64 (neg.f64 x) x)) #s(literal 143/604800 binary64))))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -143/604800 binary64)))
#s(approx (* (- (* -143/604800 (* x x)) 11/15120) x) (.f64 (neg.f64 (+.f64 (/.f64 #s(literal 11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64))) (.f64 (.f64 x x) x)))
#s(approx (- (* -143/604800 (* x x)) 11/15120) (.f64 (.f64 (neg.f64 x) x) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -23/360 binary64)))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (.f64 (.f64 (*.f64 x x) x) #s(literal -23/360 binary64)))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 x x) x)))
#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 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x)))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) #s(literal -11/15120 binary64)))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (neg.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal -11/15120 binary64)))))
#s(approx (* (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) x) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #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 (pow.f64 x #s(literal 5 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal -11/15120 binary64)))))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #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 (.f64 (.f64 x x) (.f64 x x)) #s(literal -11/15120 binary64)))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (.f64 (neg.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal -11/15120 binary64))) (.f64 (.f64 x x) (*.f64 x x))))
#s(approx (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal -11/15120 binary64))) (.f64 (.f64 x x) (.f64 x x))))
#s(approx (- (* -11/15120 (* x x)) 23/360) (.f64 (.f64 (neg.f64 x) x) (-.f64 (/.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal -11/15120 binary64))))
#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 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (neg.f64 x))) x))
#s(approx (* (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) x) (.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal -11/15120 binary64)) (*.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) x) (.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal -11/15120 binary64)) (.f64 x x)) #s(literal 143/604800 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x))))))
#s(approx (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) (.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal -11/15120 binary64)) (*.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* -23/360 (* x x)) 1/6) x) (.f64 (neg.f64 (-.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x)))) (.f64 (.f64 x x) x)))
#s(approx (* (+ (* (- (* -11/15120 (* x x)) 23/360) (* x x)) 1/6) x) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal -11/15120 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))

eval80.0ms (1.6%)

Memory: -2.4MiB live, 133.8MiB allocated; 15ms collecting garbage
Compiler: Compiled 16 638 to 2 351 computations (85.9% saved)

prune62.0ms (1.2%)

Memory

-17.5MiB live, 45.5MiB allocated; 8ms collecting garbage

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	474	11	485
Fresh	1	0	1
Picked	4	1	5
Done	0	0	0
Total	479	12	491

Accuracy

100.0%

Counts

491 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.1%	(/.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))
▶	82.8%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) #s(approx (tan x) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
▶	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal 1/6 binary64)) (*.f64 x x)))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) x))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))) x))
	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
▶	99.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.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)) x) x #s(literal 1/6 binary64)) x) x))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) #s(literal 1/6 binary64)) x) x))
✓	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	23.8%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 x x) (*.f64 x x)))))

Compiler

Compiled 681 to 411 computations (39.6% saved)

series22.0ms (0.4%)

Memory

-7.5MiB live, 39.2MiB allocated; 2ms collecting garbage

Counts

42 → 83

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.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)) x) x #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (.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)) x) x #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (.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)) x) x #s(literal 1/6 binary64)) x)
(fma.f64 (.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)) x) x #s(literal 1/6 binary64))
(.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)) x)
(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) #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)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 x x) (*.f64 x x)))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 x x) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 23/360 binary64)
(.f64 (.f64 x x) (*.f64 x x))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) #s(approx (tan x) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(.f64 (.f64 x x) x)
#s(approx (tan x) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
(.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (*.f64 x x))
(fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64))
#s(literal 529/129600 binary64)
#s(literal -1/36 binary64)
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))
(*.f64 #s(literal -23/360 binary64) x)
#s(literal -1/6 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 (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -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 (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* x (+ 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) 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) #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 (- (/ 1/6 (* x x)) 23/360) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (- (/ 1/6 (* x x)) 23/360) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))))
#s(approx (* (* x x) (* x x)) #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 (* (* x x) x) #s(hole binary64 (pow x 3)))
#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 (+ (* 1/3 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/3 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) #s(hole binary64 (* -1/36 (pow x 2))))
#s(approx (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) #s(hole binary64 (* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))))
#s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(hole binary64 -1/36))
#s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(hole binary64 (- (* 529/129600 (pow x 4)) 1/36)))
#s(approx (+ (* (* -23/360 x) x) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* (* -23/360 x) x) -1/6) #s(hole binary64 (- (* -23/360 (pow x 2)) 1/6)))
#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) 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) x) #s(hole binary64 (* -143/604800 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 7) (+ 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) #s(hole binary64 (* (pow x 7) (- (* -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) #s(hole binary64 (* (pow x 7) (- (* 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) 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) #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 (* (* (+ (* -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 (- (/ 1/6 (* x x)) 23/360) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 2))) 23/360)))
#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 (* (+ (* 1/3 (* x x)) 1) x) #s(hole binary64 (* 1/3 (pow x 3))))
#s(approx (* (+ (* 1/3 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))))
#s(approx (+ (* 1/3 (* x x)) 1) #s(hole binary64 (* 1/3 (pow x 2))))
#s(approx (+ (* 1/3 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))))
#s(approx (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) #s(hole binary64 (* 529/129600 (pow x 6))))
#s(approx (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) #s(hole binary64 (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))))
#s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(hole binary64 (* 529/129600 (pow x 4))))
#s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(hole binary64 (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))))
#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 (* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#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) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 7) (+ 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) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))))
#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 (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))

Calls

3 calls:

Time	Variable		Point	Expression
12.0ms	x	@	-inf	((/ (- 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 x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) (* (+ (* (+ (* (* 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 -23/360 1/6 (/ (- 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) x) (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 23/360) (* (* x x) (* x x))) (- (/ 1/6 (* x x)) 23/360) (/ 1/6 (* x x)) 23/360 (* (* x x) (* x x)) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* (* x x) x) 1/6) (* (* x x) x) (tan x) (* (+ (* 1/3 (* x x)) 1) x) (+ (* 1/3 (* x x)) 1) 1/3 1 (/ (- x (sin x)) (tan x)) (/ (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (+ (* (* -23/360 x) x) -1/6)) (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (+ (* 529/129600 (* (* x x) (* x x))) -1/36) 529/129600 -1/36 (+ (* (* -23/360 x) x) -1/6) (* -23/360 x) -1/6)
5.0ms	x	@	inf	((/ (- 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 x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) (* (+ (* (+ (* (* 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 -23/360 1/6 (/ (- 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) x) (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 23/360) (* (* x x) (* x x))) (- (/ 1/6 (* x x)) 23/360) (/ 1/6 (* x x)) 23/360 (* (* x x) (* x x)) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* (* x x) x) 1/6) (* (* x x) x) (tan x) (* (+ (* 1/3 (* x x)) 1) x) (+ (* 1/3 (* x x)) 1) 1/3 1 (/ (- x (sin x)) (tan x)) (/ (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (+ (* (* -23/360 x) x) -1/6)) (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (+ (* 529/129600 (* (* x x) (* x x))) -1/36) 529/129600 -1/36 (+ (* (* -23/360 x) x) -1/6) (* -23/360 x) -1/6)
4.0ms	x	@	0	((/ (- 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 x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) (* (+ (* (+ (* (* 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 -23/360 1/6 (/ (- 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) x) (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 23/360) (* (* x x) (* x x))) (- (/ 1/6 (* x x)) 23/360) (/ 1/6 (* x x)) 23/360 (* (* x x) (* x x)) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* (* x x) x) 1/6) (* (* x x) x) (tan x) (* (+ (* 1/3 (* x x)) 1) x) (+ (* 1/3 (* x x)) 1) 1/3 1 (/ (- x (sin x)) (tan x)) (/ (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (+ (* (* -23/360 x) x) -1/6)) (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (+ (* 529/129600 (* (* x x) (* x x))) -1/36) 529/129600 -1/36 (+ (* (* -23/360 x) x) -1/6) (* -23/360 x) -1/6)

Time

Variable

Point

Expression

12.0ms

-inf

((/ (- 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 x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) (* (+ (* (+ (* (* 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 -23/360 1/6 (/ (- 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) x) (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 23/360) (* (* x x) (* x x))) (- (/ 1/6 (* x x)) 23/360) (/ 1/6 (* x x)) 23/360 (* (* x x) (* x x)) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* (* x x) x) 1/6) (* (* x x) x) (tan x) (* (+ (* 1/3 (* x x)) 1) x) (+ (* 1/3 (* x x)) 1) 1/3 1 (/ (- x (sin x)) (tan x)) (/ (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (+ (* (* -23/360 x) x) -1/6)) (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (+ (* 529/129600 (* (* x x) (* x x))) -1/36) 529/129600 -1/36 (+ (* (* -23/360 x) x) -1/6) (* -23/360 x) -1/6)

5.0ms

inf

((/ (- 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 x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) (* (+ (* (+ (* (* 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 -23/360 1/6 (/ (- 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) x) (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 23/360) (* (* x x) (* x x))) (- (/ 1/6 (* x x)) 23/360) (/ 1/6 (* x x)) 23/360 (* (* x x) (* x x)) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* (* x x) x) 1/6) (* (* x x) x) (tan x) (* (+ (* 1/3 (* x x)) 1) x) (+ (* 1/3 (* x x)) 1) 1/3 1 (/ (- x (sin x)) (tan x)) (/ (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (+ (* (* -23/360 x) x) -1/6)) (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (+ (* 529/129600 (* (* x x) (* x x))) -1/36) 529/129600 -1/36 (+ (* (* -23/360 x) x) -1/6) (* -23/360 x) -1/6)

4.0ms

((/ (- 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 x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) (* (+ (* (+ (* (* 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 -23/360 1/6 (/ (- 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) x) (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 23/360) (* (* x x) (* x x))) (- (/ 1/6 (* x x)) 23/360) (/ 1/6 (* x x)) 23/360 (* (* x x) (* x x)) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (* (* x x) x) 1/6) (* (* x x) x) (tan x) (* (+ (* 1/3 (* x x)) 1) x) (+ (* 1/3 (* x x)) 1) 1/3 1 (/ (- x (sin x)) (tan x)) (/ (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (+ (* (* -23/360 x) x) -1/6)) (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (+ (* 529/129600 (* (* x x) (* x x))) -1/36) 529/129600 -1/36 (+ (* (* -23/360 x) x) -1/6) (* -23/360 x) -1/6)

rewrite211.0ms (4.2%)

Memory

67.9MiB live, 316.9MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	331	2353
0	379	2191
1	1526	2153
0	8523	2100

Stop Event

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

Counts

125 → 426

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.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)) x) x #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (.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)) x) x #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (.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)) x) x #s(literal 1/6 binary64)) x)
(fma.f64 (.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)) x) x #s(literal 1/6 binary64))
(.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)) x)
(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) #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)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 #s(approx (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) #s(literal 1/6 binary64)) x) x)
(.f64 #s(approx (+ ( (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 x x) (*.f64 x x)))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 x x) (*.f64 x x))))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 x x) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 23/360 binary64)
(.f64 (.f64 x x) (*.f64 x x))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) #s(approx (tan x) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x x) x) #s(literal 1/6 binary64))
(.f64 (.f64 x x) x)
#s(approx (tan x) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 x x) #s(literal 1 binary64)) x)
(fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
(.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (*.f64 x x))
(fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/36 binary64))
#s(literal 529/129600 binary64)
#s(literal -1/36 binary64)
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))
(*.f64 #s(literal -23/360 binary64) x)
#s(literal -1/6 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 (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -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 (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* x (+ 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) 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) #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 (- (/ 1/6 (* x x)) 23/360) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (- (/ 1/6 (* x x)) 23/360) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))))
#s(approx (* (* x x) (* x x)) #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 (* (* x x) x) #s(hole binary64 (pow x 3)))
#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 (+ (* 1/3 (* x x)) 1) #s(hole binary64 1))
#s(approx (+ (* 1/3 (* x x)) 1) #s(hole binary64 (+ 1 (* 1/3 (pow x 2)))))
#s(approx (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) #s(hole binary64 (* -1/36 (pow x 2))))
#s(approx (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) #s(hole binary64 (* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))))
#s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(hole binary64 -1/36))
#s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(hole binary64 (- (* 529/129600 (pow x 4)) 1/36)))
#s(approx (+ (* (* -23/360 x) x) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* (* -23/360 x) x) -1/6) #s(hole binary64 (- (* -23/360 (pow x 2)) 1/6)))
#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) 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) x) #s(hole binary64 (* -143/604800 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 7) (+ 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) #s(hole binary64 (* (pow x 7) (- (* -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) #s(hole binary64 (* (pow x 7) (- (* 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) 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) #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 (* (* (+ (* -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 (- (/ 1/6 (* x x)) 23/360) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 2))) 23/360)))
#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 (* (+ (* 1/3 (* x x)) 1) x) #s(hole binary64 (* 1/3 (pow x 3))))
#s(approx (* (+ (* 1/3 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))))
#s(approx (+ (* 1/3 (* x x)) 1) #s(hole binary64 (* 1/3 (pow x 2))))
#s(approx (+ (* 1/3 (* x x)) 1) #s(hole binary64 (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))))
#s(approx (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) #s(hole binary64 (* 529/129600 (pow x 6))))
#s(approx (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) #s(hole binary64 (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))))
#s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(hole binary64 (* 529/129600 (pow x 4))))
#s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(hole binary64 (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))))
#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 (* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#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) x) 1/6) x) #s(hole binary64 (* -1 (* (pow x 7) (+ 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) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))))
#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 (- x (sin x)) #s(hole binary64 (* -1 (* x (- (/ (sin x) x) 1)))))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (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)) x) x))
(.f64 (.f64 (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)) x) x)
(.f64 (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)) (*.f64 x x))
(.f64 (.f64 x 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) x #s(literal 1/6 binary64)))
(.f64 x (.f64 (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)) x))
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#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (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)) x) x))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (.f64 (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)) x))
#s(approx (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) (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)))
#s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 #s(literal -23/360 binary64) x))
#s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x))
#s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) 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(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) #s(literal -23/360 binary64))
#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (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(approx (+ (* (* x x) -143/604800) -11/15120) #s(literal -11/15120 binary64))
#s(approx (+ (* (* x x) -143/604800) -11/15120) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (- (/ 1/6 (* x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
#s(approx (- (/ 1/6 (* x x)) 23/360) (/.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (* (* x x) (* x x)) (.f64 (.f64 (*.f64 x x) x) x))
#s(approx (- x (sin x)) (.f64 (.f64 (*.f64 x x) x) #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)) (.f64 (.f64 x x) x)))
#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)) (.f64 (.f64 x x) 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)) (.f64 (*.f64 x x) x)))
#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (.f64 (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)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (+ (* 1/3 (* x x)) 1) #s(literal 1 binary64))
#s(approx (+ (* 1/3 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (.f64 (.f64 x x) #s(literal -1/36 binary64)))
#s(approx (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (*.f64 x x) #s(literal -1/36 binary64)) x) x))
#s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64))
#s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (*.f64 x x) #s(literal -1/36 binary64)))
#s(approx (+ (* (* -23/360 x) x) -1/6) #s(literal -1/6 binary64))
#s(approx (+ (* (* -23/360 x) x) -1/6) (fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 (cos.f64 x) x) (sin.f64 x)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (neg.f64 x))) x))
#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) (.f64 (neg.f64 (+.f64 (/.f64 #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 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal -11/15120 binary64)) (*.f64 (neg.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 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 11/15120 binary64) (.f64 x x)))) (pow.f64 x #s(literal 8 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -143/604800 binary64)))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (.f64 (neg.f64 (+.f64 (/.f64 #s(literal 11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal -11/15120 binary64)) (*.f64 (neg.f64 x) x)) #s(literal 143/604800 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))))))
#s(approx (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -143/604800 binary64)))
#s(approx (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) (.f64 (neg.f64 (+.f64 (/.f64 #s(literal 11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64))) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x))))
#s(approx (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal -11/15120 binary64)) (.f64 (neg.f64 x) x)) #s(literal 143/604800 binary64))))
#s(approx (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))))))
#s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -143/604800 binary64)))
#s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 (neg.f64 (+.f64 (/.f64 #s(literal 11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal -11/15120 binary64)) (*.f64 (neg.f64 x) x)) #s(literal 143/604800 binary64))))
#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal -143/604800 binary64)))
#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (.f64 (neg.f64 (+.f64 (/.f64 #s(literal 11/15120 binary64) (.f64 x x)) #s(literal 143/604800 binary64))) (.f64 (.f64 (*.f64 x x) x) x)))
#s(approx (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) (.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 23/360 binary64) (.f64 x x)) #s(literal -11/15120 binary64)) (.f64 (neg.f64 x) x)) #s(literal 143/604800 binary64)) (.f64 (.f64 (.f64 x x) x) x)))
#s(approx (+ (* (* x x) -143/604800) -11/15120) (.f64 (.f64 x x) #s(literal -143/604800 binary64)))
#s(approx (+ (* (* x x) -143/604800) -11/15120) (.f64 (.f64 (neg.f64 x) x) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal -23/360 binary64)))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (.f64 (.f64 (.f64 x x) x) x) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))))
#s(approx (- (/ 1/6 (* x x)) 23/360) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))
#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 (* (+ (* 1/3 (* x x)) 1) x) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/3 binary64)))
#s(approx (* (+ (* 1/3 (* x x)) 1) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/3 binary64) x))
#s(approx (+ (* 1/3 (* x x)) 1) (.f64 (.f64 x x) #s(literal 1/3 binary64)))
#s(approx (+ (* 1/3 (* x x)) 1) (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)))
#s(approx (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 529/129600 binary64)))
#s(approx (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 (*.f64 x x) x) x)))))
#s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x)))
#s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (*.f64 x x) x) x)))
#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 (neg.f64 x) x) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -23/360 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (neg.f64 x) (+.f64 (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)) (/.f64 (cos.f64 x) x))))
#s(approx (* (+ (* (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) x) 1/6) x) (.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #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) x) (.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 11/15120 binary64) (.f64 x x))) #s(literal 143/604800 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))))))
#s(approx (* (+ (* (+ (* (* x x) -143/604800) -11/15120) (* x x)) -23/360) x) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 23/360 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) #s(literal 143/604800 binary64))))
#s(approx (- x (sin x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) x)) x))

eval107.0ms (2.1%)

Memory: -7.2MiB live, 138.0MiB allocated; 51ms collecting garbage
Compiler: Compiled 18 050 to 2 536 computations (86% saved)

prune35.0ms (0.7%)

Memory

-14.1MiB live, 33.2MiB allocated; 5ms collecting garbage

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	461	7	468
Fresh	1	5	6
Picked	3	2	5
Done	0	1	1
Total	465	15	480

Accuracy

100.0%

Counts

480 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.1%	(/.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))
	82.7%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) #s(approx (tan x) (.f64 #s(approx (+ (* 1/3 (* x x)) 1) #s(literal 1 binary64)) x)))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) x) x) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
▶	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
▶	99.5%	#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)))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) x))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))) x))
▶	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	99.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.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)) x) x #s(literal 1/6 binary64)) x) x))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) #s(literal 1/6 binary64)) x) x))
✓	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	23.8%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 x x) (.f64 x x)))))
▶	23.9%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x))))
	23.6%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 #s(approx (- (/ 1/6 ( x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))))

Compiler

Compiled 842 to 513 computations (39.1% saved)

series13.0ms (0.2%)

Memory

17.3MiB live, 17.3MiB allocated; 0ms collecting garbage

Counts

36 → 56

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(*.f64 x x)
x
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#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))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
(/.f64 (.f64 #s(approx (+ ( 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
(.f64 #s(approx (+ ( 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64)) (*.f64 x x))
#s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64))
#s(literal -1/36 binary64)
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))
(*.f64 #s(literal -23/360 binary64) x)
#s(literal -1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x)))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 23/360 binary64)
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) x) x) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) x) x) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (*.f64 x x) #s(literal -1/36 binary64)) x) x)
(.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) x)
(fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (*.f64 x x) #s(literal -1/36 binary64))
(.f64 #s(literal 529/129600 binary64) (.f64 x x))
#s(literal 529/129600 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 (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) #s(hole binary64 (* -1/36 (pow x 2))))
#s(approx (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) #s(hole binary64 (* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))))
#s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(hole binary64 -1/36))
#s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(hole binary64 (- (* 529/129600 (pow x 4)) 1/36)))
#s(approx (+ (* (* -23/360 x) x) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* (* -23/360 x) x) -1/6) #s(hole binary64 (- (* -23/360 (pow x 2)) 1/6)))
#s(approx (* -23/360 x) #s(hole binary64 (* -23/360 x)))
#s(approx (- (/ 1/6 (* x x)) 23/360) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (- (/ 1/6 (* x x)) 23/360) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) #s(hole binary64 (* -1/36 x)))
#s(approx (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) #s(hole binary64 (* x (- (* 529/129600 (pow x 4)) 1/36))))
#s(approx (* 529/129600 (* x x)) #s(hole binary64 (* 529/129600 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* 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 (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) #s(hole binary64 (* 529/129600 (pow x 6))))
#s(approx (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) #s(hole binary64 (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))))
#s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(hole binary64 (* 529/129600 (pow x 4))))
#s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(hole binary64 (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))))
#s(approx (+ (* (* -23/360 x) x) -1/6) #s(hole binary64 (* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (- (/ 1/6 (* x x)) 23/360) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 2))) 23/360)))
#s(approx (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) #s(hole binary64 (* 529/129600 (pow x 5))))
#s(approx (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) #s(hole binary64 (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 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 (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (+ (* (* x x) -11/15120) -23/360) (* x x) x -11/15120 -23/360 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)) (/ (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (+ (* (* -23/360 x) x) -1/6)) (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (+ (* 529/129600 (* (* x x) (* x x))) -1/36) -1/36 (+ (* (* -23/360 x) x) -1/6) (* -23/360 x) -1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 23/360) (* (* (* x x) x) x)) (- (/ 1/6 (* x x)) 23/360) (/ 1/6 (* x x)) 23/360 (* (* (* x x) x) x) (* (* x x) x) (/ (- x (sin x)) (tan x)) (/ (* (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) x) (+ (* (* -23/360 x) x) -1/6)) (* (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) x) (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) (* 529/129600 (* x x)) 529/129600)
4.0ms	x	@	inf	((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (+ (* (* x x) -11/15120) -23/360) (* x x) x -11/15120 -23/360 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)) (/ (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (+ (* (* -23/360 x) x) -1/6)) (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (+ (* 529/129600 (* (* x x) (* x x))) -1/36) -1/36 (+ (* (* -23/360 x) x) -1/6) (* -23/360 x) -1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 23/360) (* (* (* x x) x) x)) (- (/ 1/6 (* x x)) 23/360) (/ 1/6 (* x x)) 23/360 (* (* (* x x) x) x) (* (* x x) x) (/ (- x (sin x)) (tan x)) (/ (* (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) x) (+ (* (* -23/360 x) x) -1/6)) (* (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) x) (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) (* 529/129600 (* x x)) 529/129600)
3.0ms	x	@	0	((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (+ (* (* x x) -11/15120) -23/360) (* x x) x -11/15120 -23/360 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)) (/ (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (+ (* (* -23/360 x) x) -1/6)) (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (+ (* 529/129600 (* (* x x) (* x x))) -1/36) -1/36 (+ (* (* -23/360 x) x) -1/6) (* -23/360 x) -1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 23/360) (* (* (* x x) x) x)) (- (/ 1/6 (* x x)) 23/360) (/ 1/6 (* x x)) 23/360 (* (* (* x x) x) x) (* (* x x) x) (/ (- x (sin x)) (tan x)) (/ (* (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) x) (+ (* (* -23/360 x) x) -1/6)) (* (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) x) (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) (* 529/129600 (* x x)) 529/129600)

Time

Variable

Point

Expression

4.0ms

-inf

((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (+ (* (* x x) -11/15120) -23/360) (* x x) x -11/15120 -23/360 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)) (/ (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (+ (* (* -23/360 x) x) -1/6)) (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (+ (* 529/129600 (* (* x x) (* x x))) -1/36) -1/36 (+ (* (* -23/360 x) x) -1/6) (* -23/360 x) -1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 23/360) (* (* (* x x) x) x)) (- (/ 1/6 (* x x)) 23/360) (/ 1/6 (* x x)) 23/360 (* (* (* x x) x) x) (* (* x x) x) (/ (- x (sin x)) (tan x)) (/ (* (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) x) (+ (* (* -23/360 x) x) -1/6)) (* (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) x) (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) (* 529/129600 (* x x)) 529/129600)

4.0ms

inf

((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (+ (* (* x x) -11/15120) -23/360) (* x x) x -11/15120 -23/360 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)) (/ (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (+ (* (* -23/360 x) x) -1/6)) (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (+ (* 529/129600 (* (* x x) (* x x))) -1/36) -1/36 (+ (* (* -23/360 x) x) -1/6) (* -23/360 x) -1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 23/360) (* (* (* x x) x) x)) (- (/ 1/6 (* x x)) 23/360) (/ 1/6 (* x x)) 23/360 (* (* (* x x) x) x) (* (* x x) x) (/ (- x (sin x)) (tan x)) (/ (* (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) x) (+ (* (* -23/360 x) x) -1/6)) (* (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) x) (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) (* 529/129600 (* x x)) 529/129600)

3.0ms

((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (+ (* (* x x) -11/15120) -23/360) (* x x) x -11/15120 -23/360 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)) (/ (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (+ (* (* -23/360 x) x) -1/6)) (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (+ (* 529/129600 (* (* x x) (* x x))) -1/36) -1/36 (+ (* (* -23/360 x) x) -1/6) (* -23/360 x) -1/6 (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 23/360) (* (* (* x x) x) x)) (- (/ 1/6 (* x x)) 23/360) (/ 1/6 (* x x)) 23/360 (* (* (* x x) x) x) (* (* x x) x) (/ (- x (sin x)) (tan x)) (/ (* (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) x) (+ (* (* -23/360 x) x) -1/6)) (* (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) x) (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) (* 529/129600 (* x x)) 529/129600)

rewrite311.0ms (6.1%)

Memory

-30.4MiB live, 282.6MiB allocated; 171ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	221	1504
0	264	1335
1	948	1329
0	6404	1281

Stop Event

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

Counts

92 → 607

Calls

Call 1

Inputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(*.f64 x x)
x
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#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))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
(/.f64 (.f64 #s(approx (+ ( 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
(.f64 #s(approx (+ ( 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64)) (*.f64 x x))
#s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64))
#s(literal -1/36 binary64)
(fma.f64 (*.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))
(*.f64 #s(literal -23/360 binary64) x)
#s(literal -1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x)))
(.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 23/360 binary64)
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) x)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) x) x) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) x) x) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64)))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (*.f64 x x) #s(literal -1/36 binary64)) x) x)
(.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) x)
(fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (*.f64 x x) #s(literal -1/36 binary64))
(.f64 #s(literal 529/129600 binary64) (.f64 x x))
#s(literal 529/129600 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 (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* 1/6 x)))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* -23/360 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* -23/360 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 -23/360))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (- (* -11/15120 (pow x 2)) 23/360)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) #s(hole binary64 (* -1/36 (pow x 2))))
#s(approx (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) #s(hole binary64 (* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))))
#s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(hole binary64 -1/36))
#s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(hole binary64 (- (* 529/129600 (pow x 4)) 1/36)))
#s(approx (+ (* (* -23/360 x) x) -1/6) #s(hole binary64 -1/6))
#s(approx (+ (* (* -23/360 x) x) -1/6) #s(hole binary64 (- (* -23/360 (pow x 2)) 1/6)))
#s(approx (* -23/360 x) #s(hole binary64 (* -23/360 x)))
#s(approx (- (/ 1/6 (* x x)) 23/360) #s(hole binary64 (/ 1/6 (pow x 2))))
#s(approx (- (/ 1/6 (* x x)) 23/360) #s(hole binary64 (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))))
#s(approx (* (* (* x x) x) x) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) #s(hole binary64 (* -1/36 x)))
#s(approx (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) #s(hole binary64 (* x (- (* 529/129600 (pow x 4)) 1/36))))
#s(approx (* 529/129600 (* x x)) #s(hole binary64 (* 529/129600 (pow x 2))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (/ (* x (cos x)) (sin x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))))
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -11/15120 (pow x 6))))
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) #s(hole binary64 (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* -11/15120 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) #s(hole binary64 (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* -11/15120 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -11/15120 (pow x 2))))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(hole binary64 (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* 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 (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) #s(hole binary64 (* 529/129600 (pow x 6))))
#s(approx (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) #s(hole binary64 (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))))
#s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(hole binary64 (* 529/129600 (pow x 4))))
#s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(hole binary64 (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))))
#s(approx (+ (* (* -23/360 x) x) -1/6) #s(hole binary64 (* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))))
#s(approx (- (/ 1/6 (* x x)) 23/360) #s(hole binary64 (- (* 1/6 (/ 1 (pow x 2))) 23/360)))
#s(approx (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) #s(hole binary64 (* 529/129600 (pow x 5))))
#s(approx (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) #s(hole binary64 (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))))
#s(approx (/ (- x (sin x)) (tan x)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 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 (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))))

Outputs
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x))
(.f64 (.f64 x x) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))
(.f64 x (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)))
(/.f64 (.f64 (.f64 x x) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/216 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1/36 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal -1/6 binary64)) #s(literal 1/36 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1/216 binary64)) (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x)) (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (.f64 x x)) x) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (.f64 x x)) x))) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (*.f64 x x)) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (.f64 (.f64 #s(literal 1/6 binary64) x) x) (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (.f64 x x)) x) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (.f64 x x)) x)) (.f64 (.f64 (.f64 #s(literal 1/6 binary64) x) x) (.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) x) (.f64 x x)) x)))))
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(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 529/129600 binary64) x) (.f64 (.f64 x x) x)) #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 279841/16796160000 binary64) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal -529/4665600 binary64))))) (/.f64 #s(literal -1/46656 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 279841/16796160000 binary64) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal -529/4665600 binary64))))))
(+.f64 (.f64 (.f64 #s(literal 529/129600 binary64) x) (.f64 (.f64 x x) x)) #s(literal -1/36 binary64))
(+.f64 #s(literal -1/36 binary64) (.f64 (.f64 #s(literal 529/129600 binary64) x) (.f64 (.f64 x x) x)))
(.f64 (.f64 #s(literal 529/129600 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 529/129600 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fabs.f64 x) #s(literal 23/360 binary64)) (*.f64 (fabs.f64 x) #s(literal 23/360 binary64)))
(.f64 (.f64 (fabs.f64 x) #s(literal -23/360 binary64)) (*.f64 (fabs.f64 x) #s(literal -23/360 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal 23/360 binary64)) (*.f64 (neg.f64 x) #s(literal 23/360 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal -23/360 binary64)) (*.f64 (neg.f64 x) #s(literal -23/360 binary64)))
(.f64 (.f64 x #s(literal 23/360 binary64)) (*.f64 x #s(literal 23/360 binary64)))
(.f64 (.f64 #s(literal 23/360 binary64) (fabs.f64 x)) (*.f64 #s(literal 23/360 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal 23/360 binary64) (neg.f64 x)) (*.f64 #s(literal 23/360 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 23/360 binary64) x) (*.f64 #s(literal 23/360 binary64) x))
(.f64 (.f64 #s(literal -23/360 binary64) (fabs.f64 x)) (*.f64 #s(literal -23/360 binary64) (fabs.f64 x)))
(.f64 (.f64 #s(literal -23/360 binary64) (neg.f64 x)) (*.f64 #s(literal -23/360 binary64) (neg.f64 x)))
(.f64 (.f64 #s(literal 23/360 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(.f64 (.f64 #s(literal 529/129600 binary64) x) x)
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 529/129600 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 529/129600 binary64)))
(.f64 (.f64 #s(literal -23/360 binary64) x) (*.f64 #s(literal -23/360 binary64) x))
(.f64 #s(literal 23/360 binary64) (.f64 #s(literal 23/360 binary64) (*.f64 x x)))
(.f64 (.f64 (*.f64 x x) #s(literal -23/360 binary64)) #s(literal -23/360 binary64))
(.f64 (.f64 x x) #s(literal 529/129600 binary64))
(.f64 #s(literal 529/129600 binary64) (.f64 x x))
(.f64 #s(literal -23/360 binary64) (.f64 (*.f64 x x) #s(literal -23/360 binary64)))
(.f64 x (.f64 #s(literal 529/129600 binary64) x))
#s(literal 529/129600 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (*.f64 x x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (-.f64 (.f64 #s(literal -143/604800 binary64) (.f64 x x)) #s(literal 11/15120 binary64)) (.f64 x x) #s(literal -23/360 binary64)) x) x #s(literal 1/6 binary64)) x) x))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) (*.f64 #s(literal 1/6 binary64) x))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) (.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (+ (* (* x x) -11/15120) -23/360) #s(literal -23/360 binary64))
#s(approx (+ (* (* x x) -11/15120) -23/360) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (.f64 #s(literal -1/36 binary64) (.f64 x x)))
#s(approx (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (.f64 (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 529/129600 binary64)) (*.f64 x x) #s(literal -1/36 binary64)) x) x))
#s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64))
#s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (fma.f64 (.f64 (.f64 x x) #s(literal 529/129600 binary64)) (*.f64 x x) #s(literal -1/36 binary64)))
#s(approx (+ (* (* -23/360 x) x) -1/6) #s(literal -1/6 binary64))
#s(approx (+ (* (* -23/360 x) x) -1/6) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
#s(approx (* -23/360 x) (*.f64 #s(literal -23/360 binary64) x))
#s(approx (- (/ 1/6 (* x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
#s(approx (- (/ 1/6 (* x x)) 23/360) (/.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) (.f64 x x)))
#s(approx (* (* (* x x) x) x) (.f64 (.f64 (*.f64 x x) x) x))
#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) (*.f64 #s(literal -1/36 binary64) x))
#s(approx (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) (.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 529/129600 binary64)) (.f64 x x) #s(literal -1/36 binary64)) x))
#s(approx (* 529/129600 (* x x)) (.f64 (.f64 x x) #s(literal 529/129600 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (cos.f64 x) (/.f64 x (sin.f64 x))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (neg.f64 x))) x))
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) (.f64 (.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)))
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) (neg.f64 (.f64 (.f64 (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (.f64 (.f64 x x) x)) (.f64 (*.f64 x x) x))))
#s(approx (* (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) x) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x)))) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64)))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (neg.f64 (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))))))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x))))))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (.f64 (.f64 #s(literal -11/15120 binary64) (.f64 (.f64 x x) x)) x))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (neg.f64 (.f64 (.f64 (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (.f64 (*.f64 x x) x)) x)))
#s(approx (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x)))) (.f64 (.f64 x x) x)) x))
#s(approx (+ (* (* x x) -11/15120) -23/360) (.f64 (.f64 x x) #s(literal -11/15120 binary64)))
#s(approx (+ (* (* x x) -11/15120) -23/360) (.f64 (.f64 (neg.f64 x) x) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (*.f64 x x)))))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal -23/360 binary64)) x))
#s(approx (* (+ (* (* x x) -23/360) 1/6) (* x x)) (.f64 (.f64 (.f64 (.f64 x x) x) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))) x))
#s(approx (+ (* (* x x) -23/360) 1/6) (.f64 (.f64 x x) #s(literal -23/360 binary64)))
#s(approx (+ (* (* x x) -23/360) 1/6) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (*.f64 x x)))
#s(approx (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 529/129600 binary64)))
#s(approx (* (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (* x x)) (.f64 (.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 x x) x)) (.f64 (*.f64 x x) x)))
#s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (.f64 (.f64 #s(literal 529/129600 binary64) x) (.f64 (.f64 x x) x)))
#s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) (.f64 (.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (*.f64 x x) x)) x))
#s(approx (+ (* (* -23/360 x) x) -1/6) (.f64 (.f64 (neg.f64 x) x) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -23/360 binary64))))
#s(approx (- (/ 1/6 (* x x)) 23/360) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))
#s(approx (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 529/129600 binary64)))
#s(approx (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) (.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (+.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (/.f64 (cos.f64 x) (neg.f64 x))) x))
#s(approx (* (+ (* (+ (* (* x x) -11/15120) -23/360) (* x x)) 1/6) x) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 (*.f64 x x) x) x)))))
#s(approx (* (+ (* (* 529/129600 (* x x)) (* x x)) -1/36) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 529/129600 binary64)))))

eval105.0ms (2.1%)

Memory: 7.1MiB live, 286.7MiB allocated; 63ms collecting garbage
Compiler: Compiled 22 498 to 2 851 computations (87.3% saved)

prune25.0ms (0.5%)

Memory

-3.7MiB live, 97.5MiB allocated; 10ms collecting garbage

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	626	6	632
Fresh	4	3	7
Picked	3	2	5
Done	0	3	3
Total	633	14	647

Accuracy

100.0%

Counts

647 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.1%	(/.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))
	82.7%	(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) #s(approx (tan x) (.f64 #s(approx (+ (* 1/3 (* x x)) 1) #s(literal 1 binary64)) x)))
	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 #s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64)) x) x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) #s(approx (+ ( (* -23/360 x) x) -1/6) #s(literal -1/6 binary64))))
✓	99.5%	#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)))
	99.6%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))) x))
✓	99.7%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
✓	99.8%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.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)) x) x #s(literal 1/6 binary64)) x) x))
✓	99.4%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 11/15120) x) x) 23/360) x) x) 1/6) #s(literal 1/6 binary64)) x) x))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))))
	99.5%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))) #s(approx (+ ( 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64))))
✓	99.3%	#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	23.8%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 (.f64 x x) x) x))))
	23.7%	#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 #s(approx (- (/ 1/6 ( x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x))))

Compiler

Compiled 1 318 to 472 computations (64.2% saved)

regimes19.0ms (0.4%)

Memory

-17.7MiB live, 73.5MiB allocated; 6ms collecting garbage

Counts

31 → 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 (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 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 #s(approx (+ ( 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) #s(approx (+ ( (* -23/360 x) x) -1/6) #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 (fma.f64 (.f64 #s(literal -23/360 binary64) 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)))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) #s(approx (tan x) (.f64 #s(approx (+ (* 1/3 (* x x)) 1) #s(literal 1 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))) #s(approx (+ ( 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 #s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64)) x) x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 #s(approx (- (/ 1/6 ( x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.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 #s(approx (- (/ 1/6 ( x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #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 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #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 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 (.f64 x x) x) x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#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 #s(approx (- x (sin x)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) #s(approx (tan x) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.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)) x) x #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (.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)) x) x #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 529/129600 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/36 binary64)) x) x) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (/.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) x) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
(/.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)) (.f64 (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 #s(literal -12167/46656000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x)))) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))))
(/.f64 #s(approx (- x (sin x)) (.f64 (fma.f64 (.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)) x) x #s(literal 1/6 binary64)) (.f64 (*.f64 x x) x))) (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)) (.f64 (*.f64 x x) x))) (tan.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Outputs

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

Calls

2 calls:

10.0ms	x
6.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes13.0ms (0.3%)

Memory

-0.5MiB live, 52.4MiB allocated; 7ms collecting garbage

Counts

20 → 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 (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 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 #s(approx (+ ( 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) #s(approx (+ ( (* -23/360 x) x) -1/6) #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 (fma.f64 (.f64 #s(literal -23/360 binary64) 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)))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) #s(approx (tan x) (.f64 #s(approx (+ (* 1/3 (* x x)) 1) #s(literal 1 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))) #s(approx (+ ( 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 #s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64)) x) x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 #s(approx (- (/ 1/6 ( x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.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 #s(approx (- (/ 1/6 ( x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #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 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #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 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 (.f64 x x) x) x))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x x) #s(literal 1/6 binary64)) x) x))
#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 #s(approx (- x (sin x)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) #s(approx (tan x) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)))

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

Calls

2 calls:

7.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
5.0ms	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)

regimes9.0ms (0.2%)

Memory

36.7MiB live, 36.7MiB allocated; 0ms collecting garbage

Counts

17 → 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 (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 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 #s(approx (+ ( 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) #s(approx (+ ( (* -23/360 x) x) -1/6) #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 (fma.f64 (.f64 #s(literal -23/360 binary64) 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)))
(/.f64 #s(approx (- x (sin x)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) #s(approx (tan x) (.f64 #s(approx (+ (* 1/3 (* x x)) 1) #s(literal 1 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 x (/.f64 x (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))) #s(approx (+ ( 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (.f64 (.f64 #s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 #s(approx (+ ( 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (.f64 #s(literal -23/360 binary64) x) x #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (.f64 (.f64 #s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64)) x) x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 #s(approx (- (/ 1/6 ( x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.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 #s(approx (- (/ 1/6 ( x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #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 (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 23/360 binary64)) (.f64 (.f64 (*.f64 x x) x) x))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #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 (-.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) #s(literal 23/360 binary64)) (.f64 (.f64 (.f64 x x) 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:

5.0ms	x
3.0ms	(/.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)

regimes4.0ms (0.1%)

Memory

-37.5MiB live, 9.4MiB allocated; 1ms 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 (+ (* (* (- (* (* (- (* -143/604800 (* x x)) 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 #s(approx (+ (* 529/129600 (* (* x x) (* x x))) -1/36) #s(literal -1/36 binary64)) (*.f64 x x)) #s(approx (+ (* (* -23/360 x) x) -1/6) #s(literal -1/6 binary64))))

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 8 to 6 computations (25% saved)

derivations189.0ms (3.7%)

Memory

-6.6MiB live, 230.7MiB allocated; 59ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 115 to 45 computations (60.9% saved)

preprocess36.0ms (0.7%)

Memory: 22.0MiB live, 67.2MiB allocated; 5ms collecting garbage
Remove: (abs x)
Compiler: Compiled 357 to 204 computations (42.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0%)

sample3.4s (66.8%)

preprocess51.0ms (1%)

series5.0ms (0.1%)

rewrite167.0ms (3.3%)

eval5.0ms (0.1%)

prune4.0ms (0.1%)

series35.0ms (0.7%)

rewrite173.0ms (3.4%)

eval80.0ms (1.6%)

prune62.0ms (1.2%)

series22.0ms (0.4%)

rewrite211.0ms (4.2%)

eval107.0ms (2.1%)

prune35.0ms (0.7%)

series13.0ms (0.2%)

rewrite311.0ms (6.1%)

eval105.0ms (2.1%)

prune25.0ms (0.5%)

regimes19.0ms (0.4%)

regimes13.0ms (0.3%)

regimes9.0ms (0.2%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

derivations189.0ms (3.7%)

preprocess36.0ms (0.7%)

end0.0ms (0%)

Profiling