Metrics for invcot (example 3.9)

start0.0ms (0%)

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

analyze3.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	49.7%	50.3%	0%	0%	0%	0
0%	0%	49.7%	50.3%	0%	0%	0%	1
0%	0%	49.7%	50.3%	0%	0%	0%	2
25%	12.4%	37.3%	50.3%	0%	0%	0%	3
62.5%	31.1%	18.6%	50.3%	0%	0%	0%	4
81.3%	40.4%	9.3%	50.3%	0%	0%	0%	5
90.6%	45%	4.7%	50.3%	0%	0%	0%	6
95.3%	47.4%	2.3%	50.3%	0%	0%	0%	7
97.7%	48.5%	1.2%	50.3%	0%	0%	0%	8
98.8%	49.1%	0.6%	50.3%	0%	0%	0%	9
99.4%	49.4%	0.3%	50.3%	0%	0%	0%	10
99.7%	49.5%	0.1%	50.3%	0%	0%	0%	11
99.9%	49.6%	0.1%	50.3%	0%	0%	0%	12

Compiler

Compiled 16 to 12 computations (25% saved)

sample9.4s (83.1%)

Memory

70.1MiB live, 8 839.5MiB allocated; 2.8s collecting garbage

Samples

7.8s	3 980×	2	valid
1.2s	4 261×	1	valid
1.0ms	15×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 8.7s

ival-tan: 8.0s (92% of total)

ival-div!: 369.0ms (4.3% of total)

adjust: 264.0ms (3.1% of total)

ival-sub!: 57.0ms (0.7% of total)

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

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

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

Bogosity

preprocess43.0ms (0.4%)

Memory

-8.1MiB live, 35.5MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	68	24
2	335	24
3	1714	24

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.7%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Symmetry

(negabs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series5.0ms (0%)

Memory

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

Counts

6 → 16

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (+ 1 (* -1/3 (pow x 2))) x)))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (cos x) (sin x))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (/ 1 x) 1 x (/ 1 (tan x)) (tan x))
1.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (/ 1 x) 1 x (/ 1 (tan x)) (tan x))
1.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (/ 1 x) 1 x (/ 1 (tan x)) (tan x))

rewrite188.0ms (1.7%)

Memory

-2.3MiB live, 185.6MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	279
0	94	275
1	609	271
2	4328	265
0	8070	247
1	19602	247

Stop Event

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

Counts

22 → 115

Calls

Call 1

Inputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (+ 1 (* -1/3 (pow x 2))) x)))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* 1/3 (pow x 2))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))))
#s(approx (tan x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (/ 1 (tan x)) #s(hole binary64 (/ (cos x) (sin x))))
#s(approx (tan x) #s(hole binary64 (/ (sin x) (cos x))))

Outputs
(.f64 (-.f64 (tan.f64 x) x) (/.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) x)))
(.f64 (-.f64 (sin.f64 x) (.f64 (cos.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) x)))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
(/.f64 (/.f64 (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)) x) (sin.f64 x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (pow.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (sin.f64 x) (.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 (+.f64 (sin.f64 x) (.f64 x (neg.f64 (cos.f64 x)))) (.f64 (sin.f64 x) x))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 x))) (.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 x) (neg.f64 (tan.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (tan.f64 x)) (.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (tan.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x))) (.f64 x #s(literal -1 binary64))) (*.f64 x (neg.f64 (tan.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x))) (.f64 (neg.f64 x) (neg.f64 (cos.f64 x)))) (*.f64 (neg.f64 x) (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (sin.f64 x)) (.f64 (neg.f64 x) (cos.f64 x))) (*.f64 (neg.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (.f64 x (neg.f64 (cos.f64 x)))) (*.f64 x (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (neg.f64 (*.f64 (tan.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (sin.f64 x) (.f64 (cos.f64 x) x))) (neg.f64 (.f64 (sin.f64 x) x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (tan.f64 x) x)))))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x))
(/.f64 (-.f64 (sin.f64 x) (.f64 (cos.f64 x) x)) (.f64 (sin.f64 x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (tan.f64 x) x) (-.f64 (tan.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sin.f64 x) x) (-.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (cos.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(-.f64 (/.f64 (tan.f64 x) (.f64 (tan.f64 x) x)) (/.f64 x (.f64 (tan.f64 x) x)))
(-.f64 (/.f64 (sin.f64 x) (.f64 (sin.f64 x) x)) (/.f64 (.f64 (cos.f64 x) x) (*.f64 (sin.f64 x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(+.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)))
#s(literal 1 binary64)
x
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (cos.f64 x))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))))
(*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(pow.f64 (tan.f64 x) #s(literal -1 binary64))
(/.f64 (sin.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (cos.f64 x))) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x)) (PI.f64))))
(/.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(/.f64 (cos.f64 x) (neg.f64 (neg.f64 (sin.f64 x))))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (tan.f64 x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(tan.f64 (neg.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x)))))
(tan.f64 (+.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x)) (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (PI.f64)))
(tan.f64 (+.f64 (neg.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(tan.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x)) (PI.f64)))
(tan.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(tan.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 (+.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)) (PI.f64)))
(tan.f64 (neg.f64 (neg.f64 (+.f64 (PI.f64) x))))
(tan.f64 (neg.f64 (neg.f64 x)))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (/ 1 (tan x)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ 1 (tan x)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (/ 1 (tan x)) (/.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) x #s(literal 1 binary64)) 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 (.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 (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
#s(approx (/ 1 (tan x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
#s(approx (tan x) (tan.f64 x))

eval10.0ms (0.1%)

Memory: 20.9MiB live, 20.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 752 to 360 computations (52.1% saved)

prune4.0ms (0%)

Memory

8.3MiB live, 8.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	4	110

Accuracy

99.5%

Counts

110 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
▶	99.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	98.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 54 to 52 computations (3.7% saved)

series10.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated; 0ms collecting garbage

Counts

21 → 52

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(*.f64 x x)
#s(literal 1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x)
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64))
(.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
#s(literal 1/4725 binary64)
#s(literal 2/945 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* 2/945 (pow x 2)))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 2/945))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 (+ 2/945 (* 1/4725 (pow x 2)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* 1/4725 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* 1/4725 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/4725 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* (pow x 5) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* (pow x 5) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (* 1/4725 (pow x 4))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 (* 1/4725 (pow x 2))))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 (* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* 2/945 (pow x 4))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (* 2/945 (pow x 2))))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (+ (* 1/4725 (* x x)) 2/945) 1/4725 2/945 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45))
3.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (+ (* 1/4725 (* x x)) 2/945) 1/4725 2/945 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45))
2.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (+ (* 1/4725 (* x x)) 2/945) 1/4725 2/945 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45))

Time

Variable

Point

Expression

4.0ms

inf

((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (+ (* 1/4725 (* x x)) 2/945) 1/4725 2/945 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45))

3.0ms

-inf

((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (+ (* 1/4725 (* x x)) 2/945) 1/4725 2/945 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45))

2.0ms

((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) 1/3 x (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) 1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (+ (* 1/4725 (* x x)) 2/945) 1/4725 2/945 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45))

rewrite355.0ms (3.1%)

Memory

1.3MiB live, 247.0MiB allocated; 78ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	1435
0	217	1357
1	1098	1346
2	6355	1346
0	9162	1315
1	24316	1315

Stop Event

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

Counts

73 → 365

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(*.f64 x x)
#s(literal 1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x)
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64))
(.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
#s(literal 1/4725 binary64)
#s(literal 2/945 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* 2/945 (pow x 2)))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 2/945))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 (+ 2/945 (* 1/4725 (pow x 2)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* 1/4725 (pow x 7))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* 1/4725 (pow x 6))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) #s(hole binary64 (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/4725 (pow x 5))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* (pow x 5) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* (pow x 5) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (* 1/4725 (pow x 4))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) #s(hole binary64 (* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 (* 1/4725 (pow x 2))))
#s(approx (+ (* 1/4725 (* x x)) 2/945) #s(hole binary64 (* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* 2/945 (pow x 4))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) #s(hole binary64 (* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (* 2/945 (pow x 2))))
#s(approx (+ (* 2/945 (* x x)) 1/45) #s(hole binary64 (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
x
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64))))))
(fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)) #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 #s(literal 1/45 binary64) x) (.f64 x x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/45 binary64) (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)))
(fma.f64 #s(literal 1/3 binary64) x (.f64 (.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/45 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (*.f64 x x) x) #s(literal 1/45 binary64)))
(-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal 1/45 binary64))))
(-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 #s(literal -1/45 binary64) (.f64 x x)) x))
(-.f64 (.f64 #s(literal 1/3 binary64) x) (neg.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64))))
(+.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)) (.f64 #s(literal 1/3 binary64) x))
(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)))
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 #s(literal -1/45 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) (.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/45 binary64) (.f64 x x))))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (fma.f64 (.f64 #s(literal 1/45 binary64) x) x #s(literal -1/3 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64))) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/45 binary64) (.f64 x x))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64))) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/2025 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/3 binary64)))))
(neg.f64 (-.f64 #s(literal -1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64))))
(neg.f64 (-.f64 (.f64 #s(literal -1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/3 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1 binary64) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 x (*.f64 #s(literal 1/45 binary64) x) #s(literal 1/3 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/3 binary64))
(-.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/45 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (neg.f64 (.f64 #s(literal -1/45 binary64) (.f64 x x))))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
#s(literal 1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x)
(.f64 x (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x)) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x)))))
(fma.f64 (.f64 (.f64 x x) x) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) (.f64 x x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 x x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x))
(fma.f64 #s(literal 1/3 binary64) x (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x) x))
(fma.f64 x (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x) x))
(-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (neg.f64 x) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x)))
(-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (neg.f64 x) (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x)) x))
(-.f64 (.f64 #s(literal 1/3 binary64) x) (neg.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x)))
(+.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x) (.f64 #s(literal 1/3 binary64) x))
(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x))
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#s(approx x x)
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#s(approx (* x x) (*.f64 x x))
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#s(approx (+ (* 2/945 (* x x)) 1/45) (.f64 (.f64 #s(literal 2/945 binary64) x) x))
#s(approx (+ (* 2/945 (* x x)) 1/45) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal -2/945 binary64)) x) x))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (.f64 (-.f64 #s(literal 1/4725 binary64) (/.f64 (-.f64 #s(literal -2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) x) 1/3) x) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal -1/4725 binary64)) (.f64 (-.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal -4 binary64)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) x) (.f64 (-.f64 #s(literal 1/4725 binary64) (/.f64 (-.f64 #s(literal -2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 (-.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))

eval98.0ms (0.9%)

Memory: 38.1MiB live, 89.3MiB allocated; 75ms collecting garbage
Compiler: Compiled 4 212 to 1 757 computations (58.3% saved)

prune15.0ms (0.1%)

Memory

-20.3MiB live, 26.4MiB allocated; 7ms collecting garbage

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	376	7	383
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	376	11	387

Accuracy

99.7%

Counts

387 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x) (.f64 #s(literal 1/3 binary64) x)))
▶	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (*.f64 #s(literal 1/3 binary64) x)))
▶	99.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
	31.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)))))))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
✓	99.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	48.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x))
✓	98.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
	19.9%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 (-.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
▶	47.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 x x))))

Compiler

Compiled 364 to 328 computations (9.9% saved)

series16.0ms (0.1%)

Memory

-22.0MiB live, 23.6MiB allocated; 6ms collecting garbage

Counts

30 → 55

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (*.f64 #s(literal 1/3 binary64) x))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64))
(*.f64 x x)
x
#s(literal 1/4725 binary64)
#s(literal 2/945 binary64)
#s(literal 1/45 binary64)
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
(.f64 (.f64 x x) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 x x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 x x)))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 x x))
(.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x)
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(literal -1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x))
(.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x) (.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x) (.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* 2/945 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/4725) 2/945) #s(hole binary64 2/945))
#s(approx (+ (* (* x x) 1/4725) 2/945) #s(hole binary64 (+ 2/945 (* 1/4725 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) x) (* 1/3 x)) #s(hole binary64 (* 1/4725 (pow x 7))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) x) (* 1/3 x)) #s(hole binary64 (* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) x) (* 1/3 x)) #s(hole binary64 (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) x) (* 1/3 x)) #s(hole binary64 (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) #s(hole binary64 (* 1/4725 (pow x 6))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) #s(hole binary64 (* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) #s(hole binary64 (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/4725 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* (pow x 5) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* (pow x 5) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 (* 1/4725 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 (* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 (* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/4725) 2/945) #s(hole binary64 (* 1/4725 (pow x 2))))
#s(approx (+ (* (* x x) 1/4725) 2/945) #s(hole binary64 (* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) x) 1/45) (* 1/3 x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (+ (* (* (* x x) x) 1/45) (* 1/3 x)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 (* 2/945 (pow x 2))))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) x) (* 1/3 x)) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) x) (* 1/3 x)) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) x) (* 1/3 x)) (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (+ (* (* x x) 1/4725) 2/945) (* x x) x 1/4725 2/945 1/45 (* 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* x x) x) 1/45) (* 1/3 x)) (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) -1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1/3 (* x x)) -1/45) x) x) (- (/ 1 x) (/ 1 (tan x))) (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) (+ (* (* x x) 2/945) 1/45))
3.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) x) (* 1/3 x)) (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (+ (* (* x x) 1/4725) 2/945) (* x x) x 1/4725 2/945 1/45 (* 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* x x) x) 1/45) (* 1/3 x)) (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) -1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1/3 (* x x)) -1/45) x) x) (- (/ 1 x) (/ 1 (tan x))) (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) (+ (* (* x x) 2/945) 1/45))
3.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) x) (* 1/3 x)) (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (+ (* (* x x) 1/4725) 2/945) (* x x) x 1/4725 2/945 1/45 (* 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* x x) x) 1/45) (* 1/3 x)) (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) -1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1/3 (* x x)) -1/45) x) x) (- (/ 1 x) (/ 1 (tan x))) (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) (+ (* (* x x) 2/945) 1/45))

Time

Variable

Point

Expression

4.0ms

-inf

((- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) x) (* 1/3 x)) (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (+ (* (* x x) 1/4725) 2/945) (* x x) x 1/4725 2/945 1/45 (* 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* x x) x) 1/45) (* 1/3 x)) (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) -1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1/3 (* x x)) -1/45) x) x) (- (/ 1 x) (/ 1 (tan x))) (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) (+ (* (* x x) 2/945) 1/45))

3.0ms

inf

((- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) x) (* 1/3 x)) (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (+ (* (* x x) 1/4725) 2/945) (* x x) x 1/4725 2/945 1/45 (* 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* x x) x) 1/45) (* 1/3 x)) (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) -1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1/3 (* x x)) -1/45) x) x) (- (/ 1 x) (/ 1 (tan x))) (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) (+ (* (* x x) 2/945) 1/45))

3.0ms

((- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) x) (* 1/3 x)) (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (+ (* (* x x) 1/4725) 2/945) (* x x) x 1/4725 2/945 1/45 (* 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (+ (* (* (* x x) x) 1/45) (* 1/3 x)) (* (* x x) x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) -1/45 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1/3 (* x x)) -1/45) x) x) (- (/ 1 x) (/ 1 (tan x))) (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) (+ (* (* x x) 2/945) 1/45))

rewrite257.0ms (2.3%)

Memory

32.3MiB live, 311.8MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	210	1614
0	252	1507
1	1212	1493
2	6923	1493
0	8092	1432
1	22954	1432

Stop Event

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

Counts

85 → 494

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (*.f64 #s(literal 1/3 binary64) x))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x)
(.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64))
(*.f64 x x)
x
#s(literal 1/4725 binary64)
#s(literal 2/945 binary64)
#s(literal 1/45 binary64)
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x))
(.f64 (.f64 x x) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 x x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 x x)))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 x x))
(.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x)
(-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(literal -1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x))
(.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x) (.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x) (.f64 #s(literal 1/3 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) #s(hole binary64 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* 2/945 (pow x 2))))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* x (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 1/45))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* 2/945 (pow x 2)))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/4725) 2/945) #s(hole binary64 2/945))
#s(approx (+ (* (* x x) 1/4725) 2/945) #s(hole binary64 (+ 2/945 (* 1/4725 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) x) (* 1/3 x)) #s(hole binary64 (* 1/4725 (pow x 7))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) x) (* 1/3 x)) #s(hole binary64 (* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) x) (* 1/3 x)) #s(hole binary64 (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) x) (* 1/3 x)) #s(hole binary64 (* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) #s(hole binary64 (* 1/4725 (pow x 6))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) #s(hole binary64 (* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) #s(hole binary64 (* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* 1/4725 (pow x 5))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* (pow x 5) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* (pow x 5) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 (* 1/4725 (pow x 4))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 (* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) #s(hole binary64 (* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 1/4725) 2/945) #s(hole binary64 (* 1/4725 (pow x 2))))
#s(approx (+ (* (* x x) 1/4725) 2/945) #s(hole binary64 (* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* x x) x) 1/45) (* 1/3 x)) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (+ (* (* (* x x) x) 1/45) (* 1/3 x)) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) #s(hole binary64 (* 2/945 (pow x 5))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) #s(hole binary64 (* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) #s(hole binary64 (* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 (* 2/945 (pow x 2))))
#s(approx (+ (* (* x x) 2/945) 1/45) #s(hole binary64 (* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) x) (* 1/3 x)) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) x) (* 1/3 x)) #s(hole binary64 (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x)
(.f64 x (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x) (*.f64 #s(literal -1/3 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x) #s(literal 2 binary64)) (.f64 #s(literal 1/9 binary64) (.f64 x x))) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal -1/3 binary64) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x) #s(literal 2 binary64)) (.f64 #s(literal 1/9 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x) (*.f64 #s(literal 1/3 binary64) x)))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) x) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x) (*.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) x) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/9 binary64) (.f64 x x) (-.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x)))))
(neg.f64 (-.f64 (.f64 #s(literal -1/3 binary64) x) (.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x)))
(fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) (fabs.f64 x)) (fabs.f64 x) (neg.f64 (*.f64 #s(literal -1/3 binary64) x)))
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#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
#s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (* x x) 1/45) 1/3) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) x) (* 1/3 x)) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4725 binary64)))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) x) (* 1/3 x)) (.f64 (-.f64 (/.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal -1/4725 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) x) (* 1/3 x)) (.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/45 binary64) (-.f64 (/.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal -1/4725 binary64))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) x) (* 1/3 x)) (.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/45 binary64) #s(literal 1/4725 binary64)) (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal -2/945 binary64) (.f64 x x)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4725 binary64)))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal -1/4725 binary64))))
#s(approx (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/45 binary64) (-.f64 (/.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal -1/4725 binary64)))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/4725 binary64)))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal -1/4725 binary64))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) (.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/45 binary64) (-.f64 (/.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal -1/4725 binary64)))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4725 binary64)))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal -1/4725 binary64))))
#s(approx (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) (.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/45 binary64) (-.f64 (/.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal -1/4725 binary64))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (* x x) 1/4725) 2/945) (.f64 #s(literal 1/4725 binary64) (.f64 x x)))
#s(approx (+ (* (* x x) 1/4725) 2/945) (.f64 (.f64 (-.f64 (/.f64 #s(literal 2/945 binary64) (*.f64 x x)) #s(literal -1/4725 binary64)) x) x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 (.f64 x x) x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x))
#s(approx (- (/ 1/3 (* x x)) -1/45) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)))
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/945 binary64)))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) (.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal -2/945 binary64)) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) (.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/3 binary64) (-.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal -2/945 binary64))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (* x x) 2/945) 1/45) (.f64 #s(literal 2/945 binary64) (.f64 x x)))
#s(approx (+ (* (* x x) 2/945) 1/45) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal -2/945 binary64)) x) x))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) x) (* 1/3 x)) (.f64 (-.f64 #s(literal 1/4725 binary64) (/.f64 (-.f64 #s(literal -2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (+ (* (* (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) x) x) (* 1/3 x)) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal -1/4725 binary64)) (.f64 (-.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (pow.f64 x #s(literal -4 binary64)))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (* (+ (* (* x x) 1/4725) 2/945) (* x x)) 1/45) x) (.f64 (-.f64 #s(literal 1/4725 binary64) (/.f64 (-.f64 #s(literal -2/945 binary64) (/.f64 #s(literal 1/45 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) (.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 (-.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))

eval78.0ms (0.7%)

Memory: 0.4MiB live, 231.9MiB allocated; 29ms collecting garbage
Compiler: Compiled 6 632 to 2 693 computations (59.4% saved)

prune22.0ms (0.2%)

Memory

-10.3MiB live, 81.6MiB allocated; 5ms collecting garbage

Pruning

19 alts after pruning (12 fresh and 7 done)

	Pruned	Kept	Total
New	596	12	608
Fresh	2	0	2
Picked	2	3	5
Done	0	4	4
Total	600	19	619

Accuracy

99.8%

Counts

619 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x) (.f64 #s(literal 1/3 binary64) x)))
✓	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (*.f64 #s(literal 1/3 binary64) x)))
✓	99.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
▶	51.9%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/2025 binary64)) (.f64 #s(literal 1/9 binary64) (.f64 x x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal -1/3 binary64) x))))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
✓	99.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
	48.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (fma.f64 (.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) x)) x)) x))
▶	48.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x))
▶	48.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))) #s(literal -1/45 binary64)) x) x)) x))
▶	47.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x)) x))
✓	98.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
	19.9%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) (.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 (-.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
	47.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) x)) (*.f64 x x))))
	31.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 (.f64 x x) x))))
	47.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) (.f64 x x))))
	23.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2025 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64))) x) (*.f64 x x))))
	46.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 x x))))
▶	51.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))

Compiler

Compiled 694 to 658 computations (5.2% saved)

series113.0ms (1%)

Memory

-7.3MiB live, 61.0MiB allocated; 155ms collecting garbage

Counts

46 → 35

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/2025 binary64)) (.f64 #s(literal 1/9 binary64) (.f64 x x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal -1/3 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/2025 binary64)) (.f64 #s(literal 1/9 binary64) (.f64 x x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal -1/3 binary64) x)))
(-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/2025 binary64)) (.f64 #s(literal 1/9 binary64) (.f64 x x)))
(.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/2025 binary64))
(.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x))
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/2025 binary64)
(.f64 #s(literal 1/9 binary64) (.f64 x x))
#s(literal 1/9 binary64)
(fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal -1/3 binary64) x))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
#s(literal 1/45 binary64)
(*.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)))
(.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x)) x))
(.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x)) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x))
(.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x)
(.f64 #s(approx (- (/ 1/3 ( x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)
#s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x))
(.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x))
(.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))) #s(literal -1/45 binary64)) x) x)) x))
(.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))) #s(literal -1/45 binary64)) x) x)) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))) #s(literal -1/45 binary64)) x) x))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))) #s(literal -1/45 binary64)) x) x)
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) #s(literal 1/3 binary64))) #s(literal -1/45 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))) #s(literal -1/45 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
#s(literal -1/45 binary64)

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) #s(hole binary64 (* -1/9 (pow x 2))))
#s(approx (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) #s(hole binary64 (* (pow x 2) (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (* (* (* (* x x) x) (* (* x x) x)) 1/2025) #s(hole binary64 (* 1/2025 (pow x 6))))
#s(approx (* (* (* x x) x) (* (* x x) x)) #s(hole binary64 (pow x 6)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/9 (* x x)) #s(hole binary64 (* 1/9 (pow x 2))))
#s(approx (+ (* (* 1/45 (* x x)) x) (* -1/3 x)) #s(hole binary64 (* -1/3 x)))
#s(approx (+ (* (* 1/45 (* x x)) x) (* -1/3 x)) #s(hole binary64 (* x (- (* 1/45 (pow x 2)) 1/3))))
#s(approx (* 1/45 (* x x)) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (* x x) 1/3) #s(hole binary64 (* 3 (pow x 2))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (/ (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) (+ (* (* 1/45 (* x x)) x) (* -1/3 x))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) (+ (* (* 1/45 (* x x)) x) (* -1/3 x))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) #s(hole binary64 (* (pow x 6) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* (* 1/45 (* x x)) x) (* -1/3 x)) #s(hole binary64 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 1/45))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (+ (* (* 1/45 (* x x)) x) (* -1/3 x)) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45)))))

Calls

3 calls:

Time	Variable		Point	Expression
102.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (/ (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) (+ (* (* 1/45 (* x x)) x) (* -1/3 x))) (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* (* (* x x) x) (* (* x x) x)) (* (* x x) x) (* x x) x 1/2025 (* 1/9 (* x x)) 1/9 (+ (* (* 1/45 (* x x)) x) (* -1/3 x)) (* 1/45 (* x x)) 1/45 (* -1/3 x) -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1/3 (* x x)) -1/45) x) x) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1 (/ (* x x) 1/3)) -1/45) x) x) (* (- (/ 1 (/ (* x x) 1/3)) -1/45) x) (- (/ 1 (/ (* x x) 1/3)) -1/45) (/ 1 (/ (* x x) 1/3)) (/ (* x x) 1/3) -1/45)
5.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (/ (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) (+ (* (* 1/45 (* x x)) x) (* -1/3 x))) (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* (* (* x x) x) (* (* x x) x)) (* (* x x) x) (* x x) x 1/2025 (* 1/9 (* x x)) 1/9 (+ (* (* 1/45 (* x x)) x) (* -1/3 x)) (* 1/45 (* x x)) 1/45 (* -1/3 x) -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1/3 (* x x)) -1/45) x) x) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1 (/ (* x x) 1/3)) -1/45) x) x) (* (- (/ 1 (/ (* x x) 1/3)) -1/45) x) (- (/ 1 (/ (* x x) 1/3)) -1/45) (/ 1 (/ (* x x) 1/3)) (/ (* x x) 1/3) -1/45)
4.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (/ (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) (+ (* (* 1/45 (* x x)) x) (* -1/3 x))) (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* (* (* x x) x) (* (* x x) x)) (* (* x x) x) (* x x) x 1/2025 (* 1/9 (* x x)) 1/9 (+ (* (* 1/45 (* x x)) x) (* -1/3 x)) (* 1/45 (* x x)) 1/45 (* -1/3 x) -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1/3 (* x x)) -1/45) x) x) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1 (/ (* x x) 1/3)) -1/45) x) x) (* (- (/ 1 (/ (* x x) 1/3)) -1/45) x) (- (/ 1 (/ (* x x) 1/3)) -1/45) (/ 1 (/ (* x x) 1/3)) (/ (* x x) 1/3) -1/45)

Time

Variable

Point

Expression

102.0ms

-inf

((- (/ 1 x) (/ 1 (tan x))) (/ (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) (+ (* (* 1/45 (* x x)) x) (* -1/3 x))) (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* (* (* x x) x) (* (* x x) x)) (* (* x x) x) (* x x) x 1/2025 (* 1/9 (* x x)) 1/9 (+ (* (* 1/45 (* x x)) x) (* -1/3 x)) (* 1/45 (* x x)) 1/45 (* -1/3 x) -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1/3 (* x x)) -1/45) x) x) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1 (/ (* x x) 1/3)) -1/45) x) x) (* (- (/ 1 (/ (* x x) 1/3)) -1/45) x) (- (/ 1 (/ (* x x) 1/3)) -1/45) (/ 1 (/ (* x x) 1/3)) (/ (* x x) 1/3) -1/45)

5.0ms

inf

((- (/ 1 x) (/ 1 (tan x))) (/ (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) (+ (* (* 1/45 (* x x)) x) (* -1/3 x))) (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* (* (* x x) x) (* (* x x) x)) (* (* x x) x) (* x x) x 1/2025 (* 1/9 (* x x)) 1/9 (+ (* (* 1/45 (* x x)) x) (* -1/3 x)) (* 1/45 (* x x)) 1/45 (* -1/3 x) -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1/3 (* x x)) -1/45) x) x) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1 (/ (* x x) 1/3)) -1/45) x) x) (* (- (/ 1 (/ (* x x) 1/3)) -1/45) x) (- (/ 1 (/ (* x x) 1/3)) -1/45) (/ 1 (/ (* x x) 1/3)) (/ (* x x) 1/3) -1/45)

4.0ms

((- (/ 1 x) (/ 1 (tan x))) (/ (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) (+ (* (* 1/45 (* x x)) x) (* -1/3 x))) (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* (* (* x x) x) (* (* x x) x)) (* (* x x) x) (* x x) x 1/2025 (* 1/9 (* x x)) 1/9 (+ (* (* 1/45 (* x x)) x) (* -1/3 x)) (* 1/45 (* x x)) 1/45 (* -1/3 x) -1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (* (* (- (/ 1/3 (* x x)) -1/45) x) (* x x)) (* (- (/ 1/3 (* x x)) -1/45) x) (/ 1/3 x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1/3 (* x x)) -1/45) x) x) (* (- (/ 1/3 (* x x)) -1/45) x) (- (/ 1/3 (* x x)) -1/45) (/ 1/3 (* x x)) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) x) (* (+ (* (/ 1 (* x x)) 1/3) 1/45) x) (+ (* (/ 1 (* x x)) 1/3) 1/45) (/ 1 (* x x)) 1 (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* (* (- (/ 1 (/ (* x x) 1/3)) -1/45) x) x) (* (- (/ 1 (/ (* x x) 1/3)) -1/45) x) (- (/ 1 (/ (* x x) 1/3)) -1/45) (/ 1 (/ (* x x) 1/3)) (/ (* x x) 1/3) -1/45)

rewrite213.0ms (1.9%)

Memory

4.1MiB live, 331.5MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	1251
0	209	1089
1	900	1062
2	4769	1062
0	8084	973
1	20423	973

Stop Event

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

Counts

81 → 689

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/2025 binary64)) (.f64 #s(literal 1/9 binary64) (.f64 x x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal -1/3 binary64) x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/2025 binary64)) (.f64 #s(literal 1/9 binary64) (.f64 x x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal -1/3 binary64) x)))
(-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/2025 binary64)) (.f64 #s(literal 1/9 binary64) (.f64 x x)))
(.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/2025 binary64))
(.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x))
(.f64 (.f64 x x) x)
(*.f64 x x)
x
#s(literal 1/2025 binary64)
(.f64 #s(literal 1/9 binary64) (.f64 x x))
#s(literal 1/9 binary64)
(fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal -1/3 binary64) x))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
#s(literal 1/45 binary64)
(*.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
#s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)))
(.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x)) x))
(.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x)) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x))
(.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x)
(.f64 #s(approx (- (/ 1/3 ( x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)
#s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/3 binary64) (*.f64 x x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x))
(.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x))
(.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)
(.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))) #s(literal -1/45 binary64)) x) x)) x))
(.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))) #s(literal -1/45 binary64)) x) x)) x)
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))) #s(literal -1/45 binary64)) x) x))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))) #s(literal -1/45 binary64)) x) x)
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) #s(literal 1/3 binary64))) #s(literal -1/45 binary64)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))) #s(literal -1/45 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
#s(literal -1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* 1/3 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* 1/45 (pow x 2))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))))
#s(approx (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) #s(hole binary64 (* -1/9 (pow x 2))))
#s(approx (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) #s(hole binary64 (* (pow x 2) (- (* 1/2025 (pow x 4)) 1/9))))
#s(approx (* (* (* (* x x) x) (* (* x x) x)) 1/2025) #s(hole binary64 (* 1/2025 (pow x 6))))
#s(approx (* (* (* x x) x) (* (* x x) x)) #s(hole binary64 (pow x 6)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (* 1/9 (* x x)) #s(hole binary64 (* 1/9 (pow x 2))))
#s(approx (+ (* (* 1/45 (* x x)) x) (* -1/3 x)) #s(hole binary64 (* -1/3 x)))
#s(approx (+ (* (* 1/45 (* x x)) x) (* -1/3 x)) #s(hole binary64 (* x (- (* 1/45 (pow x 2)) 1/3))))
#s(approx (* 1/45 (* x x)) #s(hole binary64 (* 1/45 (pow x 2))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ 1/3 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) x)))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (+ 1/3 (* 1/45 (pow x 2)))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ 1/3 (pow x 2))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (/ (+ 1/3 (* 1/45 (pow x 2))) (pow x 2))))
#s(approx (/ 1 (* x x)) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (* x x) 1/3) #s(hole binary64 (* 3 (pow x 2))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (* -1 (/ (cos x) (sin x)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(hole binary64 (- (/ 1 x) (/ (cos x) (sin x)))))
#s(approx (/ (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) (+ (* (* 1/45 (* x x)) x) (* -1/3 x))) #s(hole binary64 (* 1/45 (pow x 3))))
#s(approx (/ (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) (+ (* (* 1/45 (* x x)) x) (* -1/3 x))) #s(hole binary64 (* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) #s(hole binary64 (* (pow x 6) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))))
#s(approx (+ (* (* 1/45 (* x x)) x) (* -1/3 x)) #s(hole binary64 (* (pow x 3) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (* 1/45 x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) #s(hole binary64 (* x (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(hole binary64 (* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 1/45))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(hole binary64 (+ 1/45 (* 1/3 (/ 1 (pow x 2))))))
#s(approx (+ (* (* 1/45 (* x x)) x) (* -1/3 x)) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 1/45)))))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x)) (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) x))
(.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (*.f64 x x))) x)))
(.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) x) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x)))
(.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) x) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x))
(/.f64 (/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) x) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64))) x)
(/.f64 (/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) x) x) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) x)) x) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x)) (/.f64 (.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) x)) x) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x))) (.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x)) (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x)))) (fma.f64 #s(literal 1/2025 binary64) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x)) (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/91125 binary64))) (fma.f64 (.f64 #s(literal 1/9 binary64) x) x (-.f64 (.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) x)) x) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) x)) x) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) x)) x) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x)) (/.f64 (.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) x)) x) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x)) (fma.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x)) (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x)) (.f64 (/.f64 (.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) x)) x) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x)) (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x))) x) (neg.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x) (.f64 (.f64 (fma.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) x)))
(neg.f64 (.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) x)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x))))
(neg.f64 (/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) x) (.f64 (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x))) x)))
(neg.f64 (/.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) x)) (.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x)))
(neg.f64 (-.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x)) (/.f64 (.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) x)) x) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x))))
(fma.f64 (/.f64 #s(literal 1/2025 binary64) x) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64))) (neg.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x))))
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(fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/2025 binary64) x) (/.f64 (.f64 #s(literal -1/9 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x)))
(fma.f64 (/.f64 #s(literal 1/2025 binary64) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) x) (neg.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x))))
(fma.f64 (/.f64 #s(literal 1/2025 binary64) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) x) (/.f64 (.f64 #s(literal -1/9 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x)))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) x) x) x) (/.f64 #s(literal 1/2025 binary64) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64))) (neg.f64 (/.f64 (.f64 #s(literal 1/9 binary64) (.f64 x x)) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x))))
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(fma.f64 (.f64 #s(literal 1/45 binary64) x) (.f64 x x) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x))
(fma.f64 #s(literal 1/3 binary64) x (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))
(fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal -1/3 binary64) (neg.f64 x) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))
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(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 3 binary64)))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 1/3 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 3 binary64)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) #s(literal 1/3 binary64)))
(.f64 #s(literal 3 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 3 binary64))
(.f64 x (.f64 x #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(/.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1/3 binary64))
(/.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal 1 binary64))
(/.f64 (*.f64 x x) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
(neg.f64 (.f64 #s(literal -3 binary64) (.f64 x x)))
#s(literal -1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
#s(approx (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) (.f64 #s(literal -1/9 binary64) (.f64 x x)))
#s(approx (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) (.f64 (.f64 (fma.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) x))
#s(approx (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (.f64 (.f64 #s(literal 1/2025 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) x)) x))
#s(approx (* (* (* x x) x) (* (* x x) x)) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) x) x) x))
#s(approx (* (* x x) x) (.f64 (.f64 x x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (* 1/9 (* x x)) (.f64 #s(literal 1/9 binary64) (.f64 x x)))
#s(approx (+ (* (* 1/45 (* x x)) x) (* -1/3 x)) (*.f64 #s(literal -1/3 binary64) x))
#s(approx (+ (* (* 1/45 (* x x)) x) (* -1/3 x)) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) x))
#s(approx (* 1/45 (* x x)) (.f64 #s(literal 1/45 binary64) (.f64 x x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (+ (* (* x x) 1/45) 1/3) #s(literal 1/3 binary64))
#s(approx (+ (* (* x x) 1/45) 1/3) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
#s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))
#s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x)))
#s(approx (/ 1 (* x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (/ (* x x) 1/3) (.f64 #s(literal 3 binary64) (.f64 x x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
#s(approx (/ (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) (+ (* (* 1/45 (* x x)) x) (* -1/3 x))) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))
#s(approx (/ (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) (+ (* (* 1/45 (* x x)) x) (* -1/3 x))) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 (.f64 x x) x)))
#s(approx (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) (.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 x x) x) x))) (.f64 (.f64 (.f64 (.f64 (*.f64 x x) x) x) x) x)))
#s(approx (+ (* (* 1/45 (* x x)) x) (* -1/3 x)) (.f64 (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 x x)))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (*.f64 #s(literal 1/45 binary64) x))
#s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x))
#s(approx (+ (* (* x x) 1/45) 1/3) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (*.f64 x x)))
#s(approx (- (/ 1/3 (* x x)) -1/45) #s(literal 1/45 binary64))
#s(approx (- (/ 1/3 (* x x)) -1/45) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)))
#s(approx (+ (* (* 1/45 (* x x)) x) (* -1/3 x)) (.f64 (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 x x)))

eval74.0ms (0.7%)

Memory: 35.2MiB live, 224.8MiB allocated; 18ms collecting garbage
Compiler: Compiled 6 834 to 3 082 computations (54.9% saved)

prune27.0ms (0.2%)

Memory

-17.2MiB live, 79.3MiB allocated; 13ms collecting garbage

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	600	7	607
Fresh	5	2	7
Picked	3	2	5
Done	0	7	7
Total	608	18	626

Accuracy

99.8%

Counts

626 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x) (.f64 #s(literal 1/3 binary64) x)))
✓	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (*.f64 #s(literal 1/3 binary64) x)))
✓	99.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
	52.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) (.f64 #s(literal -1/9 binary64) (.f64 x x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal -1/3 binary64) x))))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
✓	99.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
	48.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) x)) #s(literal -1/45 binary64)) x) x)) x))
	48.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x))
	47.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64))) x) x)) x))
	47.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x x)))) x) x)) x))
✓	47.7%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x)) x))
✓	98.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
	47.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) (.f64 x x))))
	46.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 x x))))
	51.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64)))) (.f64 x x))))
✓	51.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
	51.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) (.f64 x x))))

Compiler

Compiled 719 to 566 computations (21.3% saved)

regimes19.0ms (0.2%)

Memory

4.3MiB live, 49.0MiB allocated; 4ms collecting garbage

Counts

31 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64)))) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 (.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x x)))) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64))) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) x)) #s(literal -1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))) #s(literal -1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x) (.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (fma.f64 (.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) x)) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) (.f64 #s(literal -1/9 binary64) (.f64 x x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal -1/3 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2025 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64))) x) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 (-.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (+ (* (+ (* (* x x) 2/945) 1/45) (* (* x x) x)) (* 1/3 x)) (.f64 (-.f64 #s(literal 2/945 binary64) (/.f64 (-.f64 #s(literal -1/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/2025 binary64)) (.f64 #s(literal 1/9 binary64) (.f64 x x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal -1/3 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64)))))))

Outputs

#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x) x (*.f64 #s(literal 1/3 binary64) x)))

Calls

2 calls:

10.0ms	x
6.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
99.6%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.6%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes13.0ms (0.1%)

Memory

-2.5MiB live, 43.9MiB allocated; 1ms collecting garbage

Counts

24 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64)))) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 (.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x x)))) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64))) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) x)) #s(literal -1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))) #s(literal -1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x) (.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (fma.f64 (.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) x)) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) (.f64 #s(literal -1/9 binary64) (.f64 x x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal -1/3 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))

Outputs

#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64)) x))

Calls

2 calls:

6.0ms	x
6.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
99.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.5%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes17.0ms (0.1%)

Memory

-21.3MiB live, 39.2MiB allocated; 14ms collecting garbage

Counts

23 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64)))) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 (.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x x)))) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64))) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) x)) #s(literal -1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))) #s(literal -1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x) (.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (fma.f64 (.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) x)) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (- (* (* (* (* x x) x) (* (* x x) x)) 1/2025) (* 1/9 (* x x))) (.f64 #s(literal -1/9 binary64) (.f64 x x))) (fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal -1/3 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (fma.f64 (.f64 x (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) x)) (*.f64 x x))))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64)) (.f64 (.f64 x x) x) (.f64 #s(literal 1/3 binary64) x)))

Calls

2 calls:

9.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
6.0ms	x

Results

Accuracy	Segments	Branch
99.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.5%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes12.0ms (0.1%)

Memory

-5.1MiB live, 39.2MiB allocated; 3ms collecting garbage

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64)))) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 (.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x x)))) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64))) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) x) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x #s(literal 3 binary64)) x)) #s(literal -1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/3 binary64))) #s(literal -1/45 binary64)) x) x)) x))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))

Calls

2 calls:

5.0ms	x
4.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
99.5%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.5%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes8.0ms (0.1%)

Memory

26.8MiB live, 26.8MiB allocated; 0ms collecting garbage

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64)))) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) x) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) x) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal -1/45 binary64)) (.f64 (.f64 x x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal -1/45 binary64)) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 3 binary64) (.f64 x x)))) x) x)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (* x x) 1/45) 1/3) (.f64 (.f64 #s(approx (- (/ 1/3 (* x x)) -1/45) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64))) x) x)) x))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1/45 binary64) (*.f64 #s(literal 1/3 binary64) x)))

Calls

2 calls:

4.0ms	x
3.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
99.2%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.2%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0%)

Memory

15.8MiB live, 15.8MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64))) (.f64 x x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (.f64 #s(approx ( (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64)))) (.f64 x x))))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))

Calls

2 calls:

2.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
99.2%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.2%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory

-36.6MiB live, 10.6MiB allocated; 1ms collecting garbage

Accuracy

Total -30.3b remaining (-3355.9%)

Threshold costs -30.3b (-3355.9%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (* x x) 1/45) 1/3) x) (*.f64 #s(approx (* (- (/ 1/3 (* x x)) -1/45) x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x x))))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Calls

2 calls:

2.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Results

Accuracy	Segments	Branch
98.6%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
98.6%	1	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

derivations214.0ms (1.9%)

Memory

30.4MiB live, 217.1MiB allocated; 18ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 63 to 38 computations (39.7% saved)

preprocess84.0ms (0.7%)

Memory: -21.7MiB live, 120.7MiB allocated; 25ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 293 to 257 computations (12.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze3.0ms (0%)

sample9.4s (83.1%)

preprocess43.0ms (0.4%)

series5.0ms (0%)

rewrite188.0ms (1.7%)

eval10.0ms (0.1%)

prune4.0ms (0%)

series10.0ms (0.1%)

rewrite355.0ms (3.1%)

eval98.0ms (0.9%)

prune15.0ms (0.1%)

series16.0ms (0.1%)

rewrite257.0ms (2.3%)

eval78.0ms (0.7%)

prune22.0ms (0.2%)

series113.0ms (1%)

rewrite213.0ms (1.9%)

eval74.0ms (0.7%)

prune27.0ms (0.2%)

regimes19.0ms (0.2%)

regimes13.0ms (0.1%)

regimes17.0ms (0.1%)

regimes12.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

derivations214.0ms (1.9%)

preprocess84.0ms (0.7%)

end0.0ms (0%)

Profiling