Metrics for invcot (example 3.9)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze5.0ms (0%)

Memory

7.1MiB live, 7.1MiB 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)

sample8.3s (64.3%)

Memory

81.4MiB live, 5 644.5MiB allocated; 1.6s collecting garbage

Samples

6.8s	3 934×	2	valid
1.1s	4 298×	1	valid
2.0ms	24×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 7.6s

ival-tan: 6.8s (89.4% of total)

ival-div: 364.0ms (4.8% of total)

adjust: 338.0ms (4.4% of total)

ival-sub: 97.0ms (1.3% of total)

exact: 8.0ms (0.1% of total)

ival-assert: 3.0ms (0% of total)

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

const: 0.0ms (0% of total)

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

Bogosity

explain619.0ms (4.8%)

Memory

-3.9MiB live, 529.5MiB allocated; 42ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
256	-	-	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
0	-	-	`(/.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(tan.f64 x)`
0	-	-	`(/.f64 #s(literal 1 binary64) (tan.f64 x))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`	cancellation	256	0

Confusion

	Predicted +	Predicted -
+	256	0
-	0	0

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	256	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
1	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

417.0ms	250×	2	valid
83.0ms	256×	1	valid
0.0ms	6×	0	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 477.0ms

ival-tan: 431.0ms (90.3% of total)

ival-div: 20.0ms (4.2% of total)

adjust: 19.0ms (4% of total)

ival-sub: 6.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess212.0ms (1.6%)

Memory

-34.4MiB live, 200.1MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	21	25
2	36	24
3	70	24
4	177	24
5	1044	24
6	5520	24
0	6	8
0	10	8
1	15	8
2	21	8
3	38	8
4	95	8
5	501	8
6	7749	8
0	8001	8

Stop Event

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

Calls

Call 1

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

Outputs
(-.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))

Symmetry

(negabs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.0%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Compiler

Compiled 8 to 6 computations (25% saved)

series5.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Counts

6 → 18

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 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))
#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))

rewrite157.0ms (1.2%)

Memory

38.3MiB live, 134.3MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	291
0	96	287
1	510	287
0	4508	272

Stop Event

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

Counts

24 → 75

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 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))
#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 (-.f64 (tan.f64 x) x) x) (tan.f64 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (neg.f64 (*.f64 (tan.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 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (+.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 (tan.f64 x) x) (*.f64 (tan.f64 x) x))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (+.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (.f64 (tan.f64 x) x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64)))))
(-.f64 (/.f64 (tan.f64 x) (.f64 (tan.f64 x) x)) (/.f64 x (.f64 (tan.f64 x) x)))
(-.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#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)) (cos.f64 x))
(*.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(pow.f64 (tan.f64 x) #s(literal -1 binary64))
(/.f64 (+.f64 (neg.f64 (tan.f64 x)) (tan.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (tan.f64 x)) (tan.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))))
(/.f64 (cos.f64 x) (cos.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.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)))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (tan.f64 x))))
(tan.f64 (+.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)) (PI.f64)))
(tan.f64 (+.f64 (neg.f64 (+.f64 (PI.f64) x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(tan.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (tan.f64 x)) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 (sin.f64 x))) (.f64 #s(literal 2 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (.f64 #s(literal 2 binary64) (sin.f64 x)) (.f64 #s(literal 2 binary64) (cos.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(/.f64 (+.f64 (tan.f64 x) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 x) (tan.f64 (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)
#s(approx (- (/ 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 (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)) (.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (/ 1 x) (pow.f64 x #s(literal -1 binary64)))
#s(approx x x)
#s(approx (/ 1 (tan x)) (pow.f64 x #s(literal -1 binary64)))
#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 (-.f64 (.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 (.f64 (.f64 (-.f64 (.f64 #s(literal -2/945 binary64) (.f64 x x)) #s(literal 1/45 binary64)) x) x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) x)
#s(approx (tan x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)) x))
#s(approx (tan x) (.f64 (fma.f64 (fma.f64 #s(literal 2/15 binary64) (.f64 x x) #s(literal 1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x))
#s(approx (tan x) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (/ 1 (tan x)) (/.f64 (cos.f64 x) (sin.f64 x)))
#s(approx (tan x) (tan.f64 x))

eval14.0ms (0.1%)

Memory: -30.3MiB live, 14.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 1 075 to 286 computations (73.4% saved)

prune14.0ms (0.1%)

Memory

20.4MiB live, 20.4MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	1	79

Accuracy

99.5%

Counts

79 → 1

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

Status

Accuracy

Program

▶

99.5%

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

Compiler

Compiled 27 to 16 computations (40.7% saved)

series6.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Counts

11 → 36

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((- (/ 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) (+ (* 1/4725 (* x x)) 2/945) 1/4725 (* x x) x 2/945 1/45 1/3)
2.0ms	x	@	-inf	((- (/ 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) (+ (* 1/4725 (* x x)) 2/945) 1/4725 (* x x) x 2/945 1/45 1/3)
1.0ms	x	@	0	((- (/ 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) (+ (* 1/4725 (* x x)) 2/945) 1/4725 (* x x) x 2/945 1/45 1/3)

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

rewrite161.0ms (1.2%)

Memory

-6.0MiB live, 88.3MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	994
0	139	949
1	689	947
0	5653	923

Stop Event

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

Counts

47 → 188

Calls

Call 1

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

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

eval34.0ms (0.3%)

Memory: -14.1MiB live, 32.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 8 290 to 1 046 computations (87.4% saved)

prune797.0ms (6.2%)

Memory

-17.3MiB live, 707.2MiB allocated; 106ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	229	4	233
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	230	4	234

Accuracy

100.0%

Counts

234 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) (.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)) (pow.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) #s(literal 2 binary64)))))
	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.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) #s(literal 2 binary64)) #s(literal 1/9 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 x x) #s(literal -1/3 binary64))))
	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/45 binary64) x) x) #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/3 binary64))) x))
▶	15.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/3 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1/4725 binary64)) (pow.f64 x #s(literal 7 binary64)))))

Compiler

Compiled 194 to 109 computations (43.8% saved)

series10.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Counts

20 → 50

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (* (+ (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) 1/4725) (pow x 7)) (+ (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) 1/4725) (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) (pow x -6) x -6 1/3 (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4))) (pow x -2) -2 2/945 (/ 1/45 (pow x 4)) 1/45 (pow x 4) 4 1/4725 (pow x 7) 7)
3.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (* (+ (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) 1/4725) (pow x 7)) (+ (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) 1/4725) (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) (pow x -6) x -6 1/3 (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4))) (pow x -2) -2 2/945 (/ 1/45 (pow x 4)) 1/45 (pow x 4) 4 1/4725 (pow x 7) 7)
3.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (* (+ (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) 1/4725) (pow x 7)) (+ (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) 1/4725) (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) (pow x -6) x -6 1/3 (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4))) (pow x -2) -2 2/945 (/ 1/45 (pow x 4)) 1/45 (pow x 4) 4 1/4725 (pow x 7) 7)

Time

Variable

Point

Expression

3.0ms

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (* (+ (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) 1/4725) (pow x 7)) (+ (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) 1/4725) (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) (pow x -6) x -6 1/3 (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4))) (pow x -2) -2 2/945 (/ 1/45 (pow x 4)) 1/45 (pow x 4) 4 1/4725 (pow x 7) 7)

3.0ms

-inf

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (* (+ (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) 1/4725) (pow x 7)) (+ (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) 1/4725) (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) (pow x -6) x -6 1/3 (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4))) (pow x -2) -2 2/945 (/ 1/45 (pow x 4)) 1/45 (pow x 4) 4 1/4725 (pow x 7) 7)

3.0ms

inf

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (* (+ (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) 1/4725) (pow x 7)) (+ (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) 1/4725) (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) (pow x -6) x -6 1/3 (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4))) (pow x -2) -2 2/945 (/ 1/45 (pow x 4)) 1/45 (pow x 4) 4 1/4725 (pow x 7) 7)

rewrite191.0ms (1.5%)

Memory

7.8MiB live, 141.8MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	1612
0	173	1548
1	799	1542
0	6804	1467

Stop Event

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

Counts

70 → 390

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/3 binary64) #s(literal 1/4725 binary64)) (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/45 binary64) #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 (pow.f64 x #s(literal 7 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/3 binary64) #s(literal 1/4725 binary64)) (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/45 binary64) #s(literal 2/945 binary64)) x) x))))
(.f64 (.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/3 binary64) #s(literal 1/4725 binary64)) (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/45 binary64) #s(literal 2/945 binary64)) x) x)) (pow.f64 x #s(literal 7/2 binary64))) (pow.f64 x #s(literal 7/2 binary64)))
(.f64 (pow.f64 x #s(literal 7/2 binary64)) (.f64 (pow.f64 x #s(literal 7/2 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/3 binary64) #s(literal 1/4725 binary64)) (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/45 binary64) #s(literal 2/945 binary64)) x) x))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/3 binary64) #s(literal 1/4725 binary64)) (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/45 binary64) #s(literal 2/945 binary64)) x) x)))
(*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/3 binary64) #s(literal 1/4725 binary64)) (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/45 binary64) #s(literal 2/945 binary64)) x) x)) (pow.f64 x #s(literal 7 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64)) #s(literal 1/22325625 binary64)) (pow.f64 x #s(literal 7 binary64))) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1/4725 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1/22325625 binary64) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 2 binary64))) (pow.f64 x #s(literal 7 binary64))) (-.f64 #s(literal 1/4725 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/3 binary64) (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64)))))))
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#s(approx (pow x -2) (pow.f64 x #s(literal -2 binary64)))
#s(approx (/ 1/45 (pow x 4)) (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#s(approx (pow x 7) (pow.f64 x #s(literal 7 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (cos.f64 x) (sin.f64 x))))
#s(approx (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4725 binary64)))
#s(approx (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) #s(literal 1/4725 binary64)) (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 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) (+.f64 (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4725 binary64))) (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 (pow.f64 x #s(literal 7 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/3 binary64) #s(literal 1/4725 binary64)) (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/45 binary64) #s(literal 2/945 binary64)) x) x))))
#s(approx (* (+ (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) 1/4725) (pow x 7)) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4725 binary64)))
#s(approx (* (+ (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) 1/4725) (pow x 7)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) #s(literal 1/4725 binary64)) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) 1/4725) (pow x 7)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) (+.f64 (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4725 binary64))) (pow.f64 x #s(literal 7 binary64))))
#s(approx (* (+ (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) 1/4725) (pow x 7)) (*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/3 binary64) #s(literal 1/4725 binary64)) (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/45 binary64) #s(literal 2/945 binary64)) x) x))))
#s(approx (+ (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) 1/4725) #s(literal 1/4725 binary64))
#s(approx (+ (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) 1/4725) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) #s(literal 1/4725 binary64)))
#s(approx (+ (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) 1/4725) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) (+.f64 (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4725 binary64))))
#s(approx (+ (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) 1/4725) (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/3 binary64) #s(literal 1/4725 binary64)) (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/45 binary64) #s(literal 2/945 binary64)) x) x)))
#s(approx (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64)))
#s(approx (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/45 binary64) #s(literal 2/945 binary64)) x) x))
#s(approx (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64)))
#s(approx (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4))) (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/45 binary64) #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 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2/945 binary64)) x) x) #s(literal 1/4725 binary64))))
#s(approx (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/45 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) #s(literal 1/4725 binary64)))))
#s(approx (* (+ (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) 1/4725) (pow x 7)) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/45 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2/945 binary64)) x) x) #s(literal 1/4725 binary64))))
#s(approx (* (+ (+ (* (pow x -6) 1/3) (+ (* (pow x -2) 2/945) (/ 1/45 (pow x 4)))) 1/4725) (pow x 7)) (*.f64 (neg.f64 (pow.f64 x #s(literal 7 binary64))) (-.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -1/45 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) #s(literal 1/4725 binary64)))))

eval55.0ms (0.4%)

Memory: -3.7MiB live, 47.3MiB allocated; 33ms collecting garbage
Compiler: Compiled 24 792 to 2 409 computations (90.3% saved)

prune451.0ms (3.5%)

Memory

19.1MiB live, 436.4MiB allocated; 89ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	395	0	395
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	395	4	399

Accuracy

100.0%

Counts

399 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) (.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)) (pow.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) #s(literal 2 binary64)))))
	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.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) #s(literal 2 binary64)) #s(literal 1/9 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 x x) #s(literal -1/3 binary64))))
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/45 binary64) x) x) #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/3 binary64))) x))
✓	15.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/3 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1/4725 binary64)) (pow.f64 x #s(literal 7 binary64)))))

Compiler

Compiled 194 to 109 computations (43.8% saved)

series8.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Counts

16 → 39

Calls

Call 1

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* (* 1/45 x) x) 1) (+ (* (pow x 4) (+ (* (* x x) 1/4725) 2/945)) 1/3)) x) (+ (* (* (* 1/45 x) x) 1) (+ (* (pow x 4) (+ (* (* x x) 1/4725) 2/945)) 1/3)) (* (* 1/45 x) x) (* 1/45 x) 1/45 x 1 (+ (* (pow x 4) (+ (* (* x x) 1/4725) 2/945)) 1/3) (pow x 4) 4 (+ (* (* x x) 1/4725) 2/945) (* x x) 1/4725 2/945 1/3)
2.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* (* 1/45 x) x) 1) (+ (* (pow x 4) (+ (* (* x x) 1/4725) 2/945)) 1/3)) x) (+ (* (* (* 1/45 x) x) 1) (+ (* (pow x 4) (+ (* (* x x) 1/4725) 2/945)) 1/3)) (* (* 1/45 x) x) (* 1/45 x) 1/45 x 1 (+ (* (pow x 4) (+ (* (* x x) 1/4725) 2/945)) 1/3) (pow x 4) 4 (+ (* (* x x) 1/4725) 2/945) (* x x) 1/4725 2/945 1/3)
1.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* (* 1/45 x) x) 1) (+ (* (pow x 4) (+ (* (* x x) 1/4725) 2/945)) 1/3)) x) (+ (* (* (* 1/45 x) x) 1) (+ (* (pow x 4) (+ (* (* x x) 1/4725) 2/945)) 1/3)) (* (* 1/45 x) x) (* 1/45 x) 1/45 x 1 (+ (* (pow x 4) (+ (* (* x x) 1/4725) 2/945)) 1/3) (pow x 4) 4 (+ (* (* x x) 1/4725) 2/945) (* x x) 1/4725 2/945 1/3)

Time

Variable

Point

Expression

3.0ms

-inf

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* (* 1/45 x) x) 1) (+ (* (pow x 4) (+ (* (* x x) 1/4725) 2/945)) 1/3)) x) (+ (* (* (* 1/45 x) x) 1) (+ (* (pow x 4) (+ (* (* x x) 1/4725) 2/945)) 1/3)) (* (* 1/45 x) x) (* 1/45 x) 1/45 x 1 (+ (* (pow x 4) (+ (* (* x x) 1/4725) 2/945)) 1/3) (pow x 4) 4 (+ (* (* x x) 1/4725) 2/945) (* x x) 1/4725 2/945 1/3)

2.0ms

inf

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* (* 1/45 x) x) 1) (+ (* (pow x 4) (+ (* (* x x) 1/4725) 2/945)) 1/3)) x) (+ (* (* (* 1/45 x) x) 1) (+ (* (pow x 4) (+ (* (* x x) 1/4725) 2/945)) 1/3)) (* (* 1/45 x) x) (* 1/45 x) 1/45 x 1 (+ (* (pow x 4) (+ (* (* x x) 1/4725) 2/945)) 1/3) (pow x 4) 4 (+ (* (* x x) 1/4725) 2/945) (* x x) 1/4725 2/945 1/3)

1.0ms

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* (* 1/45 x) x) 1) (+ (* (pow x 4) (+ (* (* x x) 1/4725) 2/945)) 1/3)) x) (+ (* (* (* 1/45 x) x) 1) (+ (* (pow x 4) (+ (* (* x x) 1/4725) 2/945)) 1/3)) (* (* 1/45 x) x) (* 1/45 x) 1/45 x 1 (+ (* (pow x 4) (+ (* (* x x) 1/4725) 2/945)) 1/3) (pow x 4) 4 (+ (* (* x x) 1/4725) 2/945) (* x x) 1/4725 2/945 1/3)

rewrite257.0ms (2%)

Memory

0.9MiB live, 149.8MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	1074
0	154	1013
1	761	1009
0	6643	960

Stop Event

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

Counts

55 → 295

Calls

Call 1

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

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

eval43.0ms (0.3%)

Memory: -29.4MiB live, 60.0MiB allocated; 9ms collecting garbage
Compiler: Compiled 11 006 to 1 351 computations (87.7% saved)

prune1.5s (11.7%)

Memory

14.8MiB live, 1 451.6MiB allocated; 132ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	304	0	304
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	304	4	308

Accuracy

100.0%

Counts

308 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) (.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)) (pow.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) #s(literal 2 binary64)))))
	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.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) #s(literal 2 binary64)) #s(literal 1/9 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 x x) #s(literal -1/3 binary64))))
✓	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 (.f64 #s(literal 1/45 binary64) x) x) #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64)) #s(literal 1/3 binary64))) x))
✓	15.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/3 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2/945 binary64) (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1/4725 binary64)) (pow.f64 x #s(literal 7 binary64)))))

Compiler

Compiled 423 to 240 computations (43.3% saved)

derivations39.0ms (0.3%)

Memory

27.3MiB live, 27.3MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 47 to 23 computations (51.1% saved)

preprocess20.0ms (0.2%)

Memory: -26.3MiB live, 20.1MiB allocated; 3ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 204 to 104 computations (49% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze5.0ms (0%)

sample8.3s (64.3%)

explain619.0ms (4.8%)

preprocess212.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0%)

rewrite157.0ms (1.2%)

eval14.0ms (0.1%)

prune14.0ms (0.1%)

series6.0ms (0%)

rewrite161.0ms (1.2%)

eval34.0ms (0.3%)

prune797.0ms (6.2%)

series10.0ms (0.1%)

rewrite191.0ms (1.5%)

eval55.0ms (0.4%)

prune451.0ms (3.5%)

series8.0ms (0.1%)

rewrite257.0ms (2%)

eval43.0ms (0.3%)

prune1.5s (11.7%)

derivations39.0ms (0.3%)

preprocess20.0ms (0.2%)

end0.0ms (0%)

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