Metrics for invcot (example 3.9)

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze5.0ms (0%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 16 to 12 computations (25% saved)

sample9.9s (77.7%)

Memory

99.6MiB live, 9 531.5MiB allocated; 2.6s collecting garbage

Samples

7.8s	3 963×	2	valid
1.7s	4 266×	1	valid
2.0ms	27×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 9.0s

ival-tan: 7.5s (84% of total)

ival-div: 450.0ms (5% of total)

const: 447.0ms (5% of total)

adjust: 381.0ms (4.2% of total)

ival-sub: 94.0ms (1% of total)

ival-<: 46.0ms (0.5% of total)

ival-and: 13.0ms (0.1% of total)

exact: 5.0ms (0.1% of total)

ival-assert: 4.0ms (0% of total)

Bogosity

explain420.0ms (3.3%)

Memory

34.2MiB live, 317.1MiB allocated; 58ms 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

305.0ms	242×	2	valid
62.0ms	270×	1	valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 346.0ms

ival-tan: 303.0ms (87.6% of total)

ival-div: 19.0ms (5.5% of total)

adjust: 17.0ms (4.9% of total)

ival-sub: 5.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

preprocess641.0ms (5%)

Memory

-23.9MiB live, 138.4MiB allocated; 897ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	17	19
2	30	17
3	58	17
4	151	17
5	968	16
6	6325	16
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
▶	6.3%	(-.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

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

Counts

6 → 16

Calls

Call 1

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

Outputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(/ 1 x)
x
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(/ (cos x) (sin x))
(/ (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))

simplify174.0ms (1.4%)

Memory

-25.8MiB live, 128.8MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	167
1	223	167
2	728	161
3	3203	155
4	7751	155
0	8023	137

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 15

Calls

Call 1

Inputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(/ 1 x)
x
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(/ (cos x) (sin x))
(/ (sin x) (cos x))

Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(.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)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
(/ (+ 1 (* -1/3 (pow x 2))) x)
(fma.f64 #s(literal -1/3 binary64) x (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x (/.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (.f64 x x) #s(literal -1/3 binary64)) x (/.f64 #s(literal 1 binary64) x))
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 17/315 binary64) (.f64 x x) #s(literal 2/15 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(* -1 (/ (cos x) (sin x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))

rewrite42.0ms (0.3%)

Memory

-1.6MiB live, 43.2MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
0	10	19
1	49	19
0	382	19

Stop Event

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

Counts

6 → 50

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
(/.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)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#s(literal 1 binary64)
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)))
(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 (sin.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (neg.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 1 binary64) (neg.f64 (neg.f64 (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 1 binary64) (sin.f64 x)) (cos.f64 x))
(/.f64 (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 (sin.f64 (+.f64 (PI.f64) x)) (cos.f64 (+.f64 (PI.f64) x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(tan.f64 (+.f64 (+.f64 (PI.f64) x) (PI.f64)))
(tan.f64 (+.f64 (PI.f64) x))
(tan.f64 x)

eval7.0ms (0.1%)

Memory: 12.7MiB live, 12.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 937 to 245 computations (73.9% saved)

prune3.0ms (0%)

Memory

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

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	3	68

Accuracy

99.4%

Counts

68 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
▶	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	99.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Status

Accuracy

Program

▶

99.4%

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

▶

99.3%

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

▶

99.0%

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

Compiler

Compiled 51 to 35 computations (31.4% saved)

series6.0ms (0%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Counts

14 → 26

Calls

Call 1

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

Outputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
x
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(pow x 2)
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
1/45
(+ 1/45 (* 2/945 (pow x 2)))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 2))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify191.0ms (1.5%)

Memory

-12.4MiB live, 173.7MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	219
1	217	219
2	703	218
3	3055	218
0	8277	205

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 25

Calls

Call 1

Inputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
x
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(pow x 2)
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
1/45
(+ 1/45 (* 2/945 (pow x 2)))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 2))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))

Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(.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)
x
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(pow x 2)
(*.f64 x x)
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(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))
1/45
#s(literal 1/45 binary64)
(+ 1/45 (* 2/945 (pow x 2)))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
(* -1 (/ (cos x) (sin x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(* 1/45 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(* 1/45 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(* 2/945 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/945 binary64))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2/945 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 2/945 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2/945 binary64)))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 2/945 (pow x 2))
(.f64 #s(literal 2/945 binary64) (.f64 x x))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/45 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64))))

rewrite90.0ms (0.7%)

Memory

-8.4MiB live, 49.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	105
0	29	105
1	125	105
0	950	105

Stop Event

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

Counts

14 → 118

Calls

Call 1

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

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
x
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(.f64 x (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal 1/135 binary64))))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))
(/.f64 (.f64 x (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal 1/135 binary64))))
(fma.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/3 binary64) x (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))
(fma.f64 #s(literal 1/3 binary64) x (.f64 x (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(fma.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))
(fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))
(fma.f64 x #s(literal 1/3 binary64) (.f64 x (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(+.f64 (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x) (.f64 #s(literal 1/3 binary64) x))
(+.f64 (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))) (.f64 #s(literal 1/3 binary64) x))
(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) x))
(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 #s(literal 1/45 binary64) (.f64 x x))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64))) (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (*.f64 x x) #s(literal 1/135 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 (*.f64 x x) #s(literal 1/135 binary64)))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (*.f64 x x) #s(literal 1/135 binary64))))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(fma.f64 x (*.f64 #s(literal 1/45 binary64) x) #s(literal 1/3 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(-.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/45 binary64) (.f64 x x)))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 x x)) #s(literal 1/45 binary64)))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 1/45 binary64) x)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal 1/135 binary64)))) (/.f64 #s(literal 1/27 binary64) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal 1/135 binary64)))))
(+.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1/45 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
(.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(.f64 x (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #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) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 1/3 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 3 binary64))) x) (fma.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64))))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 1/3 binary64)))
(/.f64 (.f64 x (+.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x (.f64 #s(literal 1/3 binary64) x))
(fma.f64 #s(literal 1/3 binary64) x (.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x))
(fma.f64 #s(literal 1/3 binary64) x (.f64 x (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x)))
(fma.f64 x (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) (.f64 #s(literal 1/3 binary64) x))
(fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x))
(fma.f64 x #s(literal 1/3 binary64) (.f64 x (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x)))
(+.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (.f64 x (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x)) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) x))
(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 x (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (.f64 (.f64 (fma.f64 #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 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 1/3 binary64)))
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) (.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64))))
(fma.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/3 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (neg.f64 x)) (neg.f64 x) #s(literal 1/3 binary64))
(fma.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x #s(literal 1/3 binary64))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64))) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (.f64 x x) (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) #s(literal 1/3 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 1/3 binary64))))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x)) x))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64))) (*.f64 x x)))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 x x)) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x)) (pow.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x))
(/.f64 (-.f64 #s(literal 1/2025 binary64) (pow.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 2 binary64))) (-.f64 #s(literal 1/45 binary64) (.f64 #s(literal 2/945 binary64) (.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/2025 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 1/45 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8/843908625 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/2025 binary64)) (.f64 (*.f64 x x) #s(literal 2/42525 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/2025 binary64)) (-.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 1/45 binary64)))
(/.f64 (fma.f64 #s(literal 8/843908625 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64)) (+.f64 #s(literal 1/2025 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 2 binary64)) (.f64 (*.f64 x x) #s(literal 2/42525 binary64)))))
(/.f64 (fma.f64 #s(literal 8/843908625 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/2025 binary64)) (.f64 (*.f64 x x) #s(literal 2/42525 binary64))))
(fma.f64 (*.f64 #s(literal 2/945 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/45 binary64))
(fma.f64 (*.f64 #s(literal 2/945 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/45 binary64))
(fma.f64 (*.f64 #s(literal 2/945 binary64) x) x #s(literal 1/45 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(fma.f64 x (*.f64 #s(literal 2/945 binary64) x) #s(literal 1/45 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 1/45 binary64))) (/.f64 #s(literal 1/2025 binary64) (-.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 1/45 binary64))))
(-.f64 #s(literal 1/45 binary64) (.f64 (neg.f64 (.f64 #s(literal 2/945 binary64) x)) x))
(-.f64 #s(literal 1/45 binary64) (.f64 #s(literal -2/945 binary64) (.f64 x x)))
(-.f64 #s(literal 1/45 binary64) (.f64 (neg.f64 (.f64 x x)) #s(literal 2/945 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) #s(literal 2/42525 binary64)))) (/.f64 #s(literal 1/91125 binary64) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/2025 binary64)) (.f64 (.f64 x x) #s(literal 2/42525 binary64)))))
(+.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 1/45 binary64))
(+.f64 #s(literal 1/45 binary64) (.f64 #s(literal 2/945 binary64) (.f64 x x)))
#s(literal 2/945 binary64)

eval22.0ms (0.2%)

Memory: -17.0MiB live, 28.5MiB allocated; 4ms collecting garbage
Compiler: Compiled 4 618 to 657 computations (85.8% saved)

prune6.0ms (0%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	177	3	180
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	177	6	183

Accuracy

99.9%

Counts

183 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x)))
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal 1/135 binary64)))))
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
✓	99.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 138 to 93 computations (32.6% saved)

series16.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated; 0ms collecting garbage

Counts

32 → 56

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x)
(-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64))
(pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
#s(literal 1/45 binary64)
(*.f64 x x)
x
#s(literal 2 binary64)
#s(literal 1/9 binary64)
(-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal 1/135 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal 1/135 binary64))))
(.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x)
(fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/91125 binary64)
#s(literal 1/27 binary64)
(-.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal 1/135 binary64)))
(+.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64))
(.f64 (.f64 x x) #s(literal 1/135 binary64))
#s(literal 1/135 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x)))
(fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x))
(.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x)
(.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)
(.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x)
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
#s(literal 2/945 binary64)

Outputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
-1/9
(- (* 1/2025 (pow x 4)) 1/9)
(* 1/2025 (pow x 4))
(* 1/45 (pow x 2))
(pow x 2)
x
-1/3
(- (* 1/45 (pow x 2)) 1/3)
(* 1/27 x)
(* x (+ 1/27 (* 1/91125 (pow x 6))))
1/27
(+ 1/27 (* 1/91125 (pow x 6)))
(pow x 6)
1/9
(+ 1/9 (* -1/135 (pow x 2)))
(+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))
(+ 1/9 (* 1/2025 (pow x 4)))
(* 1/135 (pow x 2))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 2/945 (pow x 2))))
(* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))
(* 1/45 x)
(* x (+ 1/45 (* 2/945 (pow x 2))))
1/45
(+ 1/45 (* 2/945 (pow x 2)))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/91125 (pow x 7))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* 1/91125 (pow x 6))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 3))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 2))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (pow (* 1/45 (* x x)) 2) 1/9) (pow (* 1/45 (* x x)) 2) (* 1/45 (* x x)) 1/45 (* x x) x 2 1/9 (- (* 1/45 (* x x)) 1/3) 1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (pow (* x x) 3) 1/91125) 1/27) (pow (* x x) 3) 3 1/91125 1/27 (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135) 1/135 (- (/ 1 x) (/ 1 (tan x))) (+ (* x 1/3) (* (* (* (+ (* 2/945 (* x x)) 1/45) x) x) x)) (* (* (* (+ (* 2/945 (* x x)) 1/45) x) x) x) (* (* (+ (* 2/945 (* x x)) 1/45) x) x) (* (+ (* 2/945 (* x x)) 1/45) x) (+ (* 2/945 (* x x)) 1/45) 2/945)
5.0ms	x	@	-inf	((- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (pow (* 1/45 (* x x)) 2) 1/9) (pow (* 1/45 (* x x)) 2) (* 1/45 (* x x)) 1/45 (* x x) x 2 1/9 (- (* 1/45 (* x x)) 1/3) 1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (pow (* x x) 3) 1/91125) 1/27) (pow (* x x) 3) 3 1/91125 1/27 (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135) 1/135 (- (/ 1 x) (/ 1 (tan x))) (+ (* x 1/3) (* (* (* (+ (* 2/945 (* x x)) 1/45) x) x) x)) (* (* (* (+ (* 2/945 (* x x)) 1/45) x) x) x) (* (* (+ (* 2/945 (* x x)) 1/45) x) x) (* (+ (* 2/945 (* x x)) 1/45) x) (+ (* 2/945 (* x x)) 1/45) 2/945)
5.0ms	x	@	0	((- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (pow (* 1/45 (* x x)) 2) 1/9) (pow (* 1/45 (* x x)) 2) (* 1/45 (* x x)) 1/45 (* x x) x 2 1/9 (- (* 1/45 (* x x)) 1/3) 1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (pow (* x x) 3) 1/91125) 1/27) (pow (* x x) 3) 3 1/91125 1/27 (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135) 1/135 (- (/ 1 x) (/ 1 (tan x))) (+ (* x 1/3) (* (* (* (+ (* 2/945 (* x x)) 1/45) x) x) x)) (* (* (* (+ (* 2/945 (* x x)) 1/45) x) x) x) (* (* (+ (* 2/945 (* x x)) 1/45) x) x) (* (+ (* 2/945 (* x x)) 1/45) x) (+ (* 2/945 (* x x)) 1/45) 2/945)

Time

Variable

Point

Expression

6.0ms

inf

((- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (pow (* 1/45 (* x x)) 2) 1/9) (pow (* 1/45 (* x x)) 2) (* 1/45 (* x x)) 1/45 (* x x) x 2 1/9 (- (* 1/45 (* x x)) 1/3) 1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (pow (* x x) 3) 1/91125) 1/27) (pow (* x x) 3) 3 1/91125 1/27 (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135) 1/135 (- (/ 1 x) (/ 1 (tan x))) (+ (* x 1/3) (* (* (* (+ (* 2/945 (* x x)) 1/45) x) x) x)) (* (* (* (+ (* 2/945 (* x x)) 1/45) x) x) x) (* (* (+ (* 2/945 (* x x)) 1/45) x) x) (* (+ (* 2/945 (* x x)) 1/45) x) (+ (* 2/945 (* x x)) 1/45) 2/945)

5.0ms

-inf

((- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (pow (* 1/45 (* x x)) 2) 1/9) (pow (* 1/45 (* x x)) 2) (* 1/45 (* x x)) 1/45 (* x x) x 2 1/9 (- (* 1/45 (* x x)) 1/3) 1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (pow (* x x) 3) 1/91125) 1/27) (pow (* x x) 3) 3 1/91125 1/27 (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135) 1/135 (- (/ 1 x) (/ 1 (tan x))) (+ (* x 1/3) (* (* (* (+ (* 2/945 (* x x)) 1/45) x) x) x)) (* (* (* (+ (* 2/945 (* x x)) 1/45) x) x) x) (* (* (+ (* 2/945 (* x x)) 1/45) x) x) (* (+ (* 2/945 (* x x)) 1/45) x) (+ (* 2/945 (* x x)) 1/45) 2/945)

5.0ms

((- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (pow (* 1/45 (* x x)) 2) 1/9) (pow (* 1/45 (* x x)) 2) (* 1/45 (* x x)) 1/45 (* x x) x 2 1/9 (- (* 1/45 (* x x)) 1/3) 1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (pow (* x x) 3) 1/91125) 1/27) (pow (* x x) 3) 3 1/91125 1/27 (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135) 1/135 (- (/ 1 x) (/ 1 (tan x))) (+ (* x 1/3) (* (* (* (+ (* 2/945 (* x x)) 1/45) x) x) x)) (* (* (* (+ (* 2/945 (* x x)) 1/45) x) x) x) (* (* (+ (* 2/945 (* x x)) 1/45) x) x) (* (+ (* 2/945 (* x x)) 1/45) x) (+ (* 2/945 (* x x)) 1/45) 2/945)

simplify164.0ms (1.3%)

Memory

-22.6MiB live, 121.7MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	416
1	370	416
2	1070	411
3	4136	411
0	8442	385

Stop Event

1×	iter limit
1×	node limit

Counts

56 → 55

Calls

Call 1

Inputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
-1/9
(- (* 1/2025 (pow x 4)) 1/9)
(* 1/2025 (pow x 4))
(* 1/45 (pow x 2))
(pow x 2)
x
-1/3
(- (* 1/45 (pow x 2)) 1/3)
(* 1/27 x)
(* x (+ 1/27 (* 1/91125 (pow x 6))))
1/27
(+ 1/27 (* 1/91125 (pow x 6)))
(pow x 6)
1/9
(+ 1/9 (* -1/135 (pow x 2)))
(+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))
(+ 1/9 (* 1/2025 (pow x 4)))
(* 1/135 (pow x 2))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 2/945 (pow x 2))))
(* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))
(* 1/45 x)
(* x (+ 1/45 (* 2/945 (pow x 2))))
1/45
(+ 1/45 (* 2/945 (pow x 2)))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/91125 (pow x 7))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* 1/91125 (pow x 6))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 3))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 2/945 (pow x 2))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))

Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(.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)
(* -1/9 x)
(*.f64 #s(literal -1/9 binary64) x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x)
-1/9
#s(literal -1/9 binary64)
(- (* 1/2025 (pow x 4)) 1/9)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))
(* 1/2025 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))
(* 1/45 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(pow x 2)
(*.f64 x x)
x
-1/3
#s(literal -1/3 binary64)
(- (* 1/45 (pow x 2)) 1/3)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
(* 1/27 x)
(*.f64 #s(literal 1/27 binary64) x)
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x)
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* 1/91125 (pow x 6)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* -1/135 (pow x 2)))
(fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))
(+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))
(fma.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 x x) #s(literal -1/135 binary64)) (.f64 x x) #s(literal 1/9 binary64))
(+ 1/9 (* 1/2025 (pow x 4)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))
(* 1/135 (pow x 2))
(.f64 #s(literal 1/135 binary64) (.f64 x x))
(* 1/45 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(* (pow x 3) (+ 1/45 (* 2/945 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/945 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)))
(* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)
(* 1/45 x)
(*.f64 #s(literal 1/45 binary64) x)
(* x (+ 1/45 (* 2/945 (pow x 2))))
(.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x)
1/45
#s(literal 1/45 binary64)
(+ 1/45 (* 2/945 (pow x 2)))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
(* -1 (/ (cos x) (sin x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(* 1/2025 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2025 binary64))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(*.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
(* 1/91125 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/91125 binary64))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/91125 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* 1/91125 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/135 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/9 binary64) (.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/135 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))
(* 2/945 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/945 binary64))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2/945 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64)) (/.f64 #s(literal -1/45 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 2/945 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2/945 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 2/945 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2/945 binary64))
(* (pow x 3) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x)
(* 2/945 (pow x 2))
(.f64 #s(literal 2/945 binary64) (.f64 x x))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2025 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal -1/45 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2/945 binary64))))

rewrite86.0ms (0.7%)

Memory

22.8MiB live, 108.7MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	287
0	59	273
1	241	211
0	1907	203

Stop Event

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

Counts

32 → 384

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x)
(-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64))
(pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
#s(literal 1/45 binary64)
(*.f64 x x)
x
#s(literal 2 binary64)
#s(literal 1/9 binary64)
(-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal 1/135 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal 1/135 binary64))))
(.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x)
(fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/91125 binary64)
#s(literal 1/27 binary64)
(-.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal 1/135 binary64)))
(+.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64))
(.f64 (.f64 x x) #s(literal 1/135 binary64))
#s(literal 1/135 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x)))
(fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x))
(.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x)
(.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)
(.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x)
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
#s(literal 2/945 binary64)

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/27 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal 1/135 binary64) (.f64 x x) #s(literal 1/9 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal 1/135 binary64) (.f64 x x) #s(literal 1/9 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (-.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (.f64 #s(literal 1/135 binary64) (.f64 x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (fma.f64 #s(literal 1/135 binary64) (.f64 x x) #s(literal 1/9 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 x (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))) (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)))
(.f64 (/.f64 x (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)))
(.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) (/.f64 x (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64)) (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))) (+.f64 (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64)) (/.f64 x (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))) (-.f64 (*.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/27 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/756680642578125 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/19683 binary64)) (/.f64 x (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))) (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/729 binary64) (*.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64)) x) (.f64 (+.f64 (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64)) x) (.f64 (-.f64 (.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/27 binary64)) (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/756680642578125 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/19683 binary64)) x) (.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))))
(/.f64 (.f64 (neg.f64 x) (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))))
(/.f64 (.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))) (neg.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(neg.f64 (/.f64 (.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(neg.f64 (/.f64 (.f64 (neg.f64 x) (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))) (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))))
(neg.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (neg.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(neg.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) x) (neg.f64 (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x)
(*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (+.f64 (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64)) x) (+.f64 (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/729 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) (-.f64 (pow.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (neg.f64 (+.f64 (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))
(/.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64)) (+.f64 (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64))))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (.f64 #s(literal 1/45 binary64) x)) x #s(literal -1/9 binary64))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x)) #s(literal 1/45 binary64) #s(literal -1/9 binary64))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/45 binary64)) (.f64 x x) #s(literal -1/9 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/45 binary64) x) (.f64 #s(literal 1/45 binary64) x)) (.f64 x x) #s(literal -1/9 binary64))
(fma.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64))) (neg.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64))) #s(literal -1/9 binary64))
(fma.f64 (fabs.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64))) (fabs.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64))) #s(literal -1/9 binary64))
(fma.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/45 binary64)))) (exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/45 binary64)))) #s(literal -1/9 binary64))
(fma.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) x) #s(literal 2 binary64)) (.f64 x x) #s(literal -1/9 binary64))
(fma.f64 (.f64 #s(literal 1/45 binary64) x) (.f64 x (.f64 (.f64 x x) #s(literal 1/45 binary64))) #s(literal -1/9 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal -1/9 binary64))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) #s(literal 1/45 binary64))) #s(literal -1/9 binary64))
(fma.f64 #s(literal 1/45 binary64) (*.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/9 binary64))
(fma.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/45 binary64))) #s(literal -1/9 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1/729 binary64) (+.f64 (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)))))
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1/9 binary64))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal -1/9 binary64))
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (*.f64 #s(literal 1/45 binary64) x)) x)
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x)) #s(literal 1/45 binary64))
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/45 binary64)) (*.f64 x x))
(.f64 (.f64 (.f64 #s(literal 1/45 binary64) x) (.f64 #s(literal 1/45 binary64) x)) (*.f64 x x))
(.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64))) (neg.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(.f64 (fabs.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64))) (fabs.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(*.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/45 binary64)))) (exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/45 binary64)))))
(.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) x) #s(literal 2 binary64)) (*.f64 x x))
(.f64 (.f64 #s(literal 1/45 binary64) x) (.f64 x (.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) (.f64 (*.f64 x x) #s(literal 1/45 binary64)))
(.f64 (.f64 x x) (.f64 #s(literal 1/45 binary64) (.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(.f64 #s(literal 1/45 binary64) (.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64))))
(.f64 #s(literal 1/45 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/45 binary64))))
(pow.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/45 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 2 binary64))
(+.f64 (cosh.f64 (.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/45 binary64))) #s(literal 2 binary64))) (sinh.f64 (.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/45 binary64))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/45 binary64))) #s(literal 2 binary64)))
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(/.f64 (fma.f64 #s(literal 8/843908625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) #s(literal 2/42525 binary64)))))
(fma.f64 (*.f64 #s(literal 2/945 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal 1/45 binary64))
(fma.f64 (*.f64 #s(literal 2/945 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1/45 binary64))
(fma.f64 (*.f64 #s(literal 2/945 binary64) x) x #s(literal 1/45 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2/945 binary64)) #s(literal 1/45 binary64))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
(fma.f64 (*.f64 x x) #s(literal 2/945 binary64) #s(literal 1/45 binary64))
(fma.f64 x (*.f64 #s(literal 2/945 binary64) x) #s(literal 1/45 binary64))
(-.f64 (/.f64 (.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 1/45 binary64))) (/.f64 #s(literal 1/2025 binary64) (-.f64 (.f64 #s(literal 2/945 binary64) (*.f64 x x)) #s(literal 1/45 binary64))))
(-.f64 #s(literal 1/45 binary64) (.f64 (neg.f64 (.f64 #s(literal 2/945 binary64) x)) x))
(-.f64 #s(literal 1/45 binary64) (.f64 #s(literal -2/945 binary64) (.f64 x x)))
(-.f64 #s(literal 1/45 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal 2/945 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 8/843908625 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (.f64 (.f64 x x) #s(literal 2/42525 binary64))))) (/.f64 #s(literal 1/91125 binary64) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (.f64 (*.f64 x x) #s(literal 2/42525 binary64))))))
(+.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 1/45 binary64))
(+.f64 #s(literal 1/45 binary64) (.f64 #s(literal 2/945 binary64) (.f64 x x)))
#s(literal 2/945 binary64)

eval122.0ms (1%)

Memory: 13.4MiB live, 113.9MiB allocated; 20ms collecting garbage
Compiler: Compiled 19 394 to 2 375 computations (87.8% saved)

prune16.0ms (0.1%)

Memory

-3.4MiB live, 40.5MiB allocated; 9ms collecting garbage

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	549	5	554
Fresh	0	0	0
Picked	2	1	3
Done	0	3	3
Total	551	9	560

Accuracy

100.0%

Counts

560 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x)))
▶	99.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) #s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64))))
▶	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- (pow ( 1/45 (* x x)) 2) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
▶	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	99.6%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))))
✓	99.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 389 to 281 computations (27.8% saved)

series23.0ms (0.2%)

Memory

-9.0MiB live, 36.6MiB allocated; 6ms collecting garbage

Counts

48 → 78

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))))
(.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))))
(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))
#s(literal 1/91125 binary64)
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 1/27 binary64)
(/.f64 x (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
#s(literal 1/135 binary64)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/2025 binary64)
#s(literal 1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- (pow ( 1/45 (* x x)) 2) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (.f64 #s(approx (- (pow ( 1/45 (* x x)) 2) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(.f64 #s(approx (- (pow ( 1/45 (* x x)) 2) 1/9) #s(literal -1/9 binary64)) x)
#s(approx (- (pow (* 1/45 (* x x)) 2) 1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
#s(literal 1/45 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) #s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) #s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x)
(fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))
(/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(.f64 (-.f64 (pow.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) x)
(-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64))
#s(literal 1/81 binary64)
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))

Outputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
1/27
(+ 1/27 (* 1/91125 (pow x 6)))
(pow x 6)
x
(* 9 x)
(* x (+ 9 (* 3/5 (pow x 2))))
(* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4))))))
(* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375))))))
1/9
(+ 1/9 (* -1/135 (pow x 2)))
(+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))
(* -1 (pow x 2))
(* -1 x)
(+ 1/9 (* 1/2025 (pow x 4)))
(pow x 4)
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
-1/9
(- (* 1/2025 (pow x 4)) 1/9)
-1/3
(- (* 1/45 (pow x 2)) 1/3)
(* 1/45 (pow x 2))
(pow x 2)
(* 1/27 x)
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(* -3 x)
(* x (- (* -1/5 (pow x 2)) 3))
(* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))
(* -1/81 x)
(* x (- (* 1/4100625 (pow x 8)) 1/81))
-1/81
(- (* 1/4100625 (pow x 8)) 1/81)
(* 1/4100625 (pow x 8))
-1/27
(- (* 1/405 (pow x 2)) 1/27)
(- (* (pow x 2) (+ 1/405 (* -1/6075 (pow x 2)))) 1/27)
(- (* (pow x 2) (+ 1/405 (* (pow x 2) (- (* 1/91125 (pow x 2)) 1/6075)))) 1/27)
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/91125 (pow x 6))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(/ 2025 (pow x 3))
(/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3))
(/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3))
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/91125 (pow x 7))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(/ 45 x)
(/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)
(* 1/4100625 (pow x 9))
(* (pow x 9) (- 1/4100625 (* 1/81 (/ 1 (pow x 8)))))
(* (pow x 8) (- 1/4100625 (* 1/81 (/ 1 (pow x 8)))))
(* (pow x 6) (- 1/91125 (* 1/6075 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/91125 (/ 1/405 (pow x 4))) (* 1/6075 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/91125 (/ 1/405 (pow x 4))) (+ (* 1/6075 (/ 1 (pow x 2))) (* 1/27 (/ 1 (pow x 6))))))
(* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))
(* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))
(* -1 (* (pow x 9) (- (* 1/81 (/ 1 (pow x 8))) 1/4100625)))

Calls

3 calls:

Time

Variable

Point

Expression

10.0ms

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)))) (+ (* 1/91125 (pow x 6)) 1/27) 1/91125 (pow x 6) x 6 1/27 (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) (* (neg x) x) (neg x) 1/135 (+ (* (pow x 4) 1/2025) 1/9) (pow x 4) 4 1/2025 1/9 (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (pow (* 1/45 (* x x)) 2) 1/9) -1/9 (- (* 1/45 (* x x)) 1/3) (* 1/45 (* x x)) 1/45 (* x x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (pow (* x x) 3) 1/91125) 1/27) (pow (* x x) 3) 3 (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (- (* (* x x) 1/45) 1/3))) (+ (* (pow x 4) 1/2025) -1/9) (/ x (- (* (* x x) 1/45) 1/3)) (- (* (* x x) 1/45) 1/3) (* (* x x) 1/45) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3))) (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (- (pow (* (* x x) 1/45) 4) 1/81) (pow (* (* x x) 1/45) 4) 1/81 (* (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3)))

6.0ms

inf

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)))) (+ (* 1/91125 (pow x 6)) 1/27) 1/91125 (pow x 6) x 6 1/27 (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) (* (neg x) x) (neg x) 1/135 (+ (* (pow x 4) 1/2025) 1/9) (pow x 4) 4 1/2025 1/9 (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (pow (* 1/45 (* x x)) 2) 1/9) -1/9 (- (* 1/45 (* x x)) 1/3) (* 1/45 (* x x)) 1/45 (* x x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (pow (* x x) 3) 1/91125) 1/27) (pow (* x x) 3) 3 (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (- (* (* x x) 1/45) 1/3))) (+ (* (pow x 4) 1/2025) -1/9) (/ x (- (* (* x x) 1/45) 1/3)) (- (* (* x x) 1/45) 1/3) (* (* x x) 1/45) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3))) (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (- (pow (* (* x x) 1/45) 4) 1/81) (pow (* (* x x) 1/45) 4) 1/81 (* (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3)))

6.0ms

-inf

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)))) (+ (* 1/91125 (pow x 6)) 1/27) 1/91125 (pow x 6) x 6 1/27 (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9))) (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)) (* (neg x) x) (neg x) 1/135 (+ (* (pow x 4) 1/2025) 1/9) (pow x 4) 4 1/2025 1/9 (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (* 1/45 (* x x)) 1/3)) (* (- (pow (* 1/45 (* x x)) 2) 1/9) x) (- (pow (* 1/45 (* x x)) 2) 1/9) -1/9 (- (* 1/45 (* x x)) 1/3) (* 1/45 (* x x)) 1/45 (* x x) 1/3 (- (/ 1 x) (/ 1 (tan x))) (/ (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135))) (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (+ (* (pow (* x x) 3) 1/91125) 1/27) (pow (* x x) 3) 3 (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 4) 1/2025) -1/9) (/ x (- (* (* x x) 1/45) 1/3))) (+ (* (pow x 4) 1/2025) -1/9) (/ x (- (* (* x x) 1/45) 1/3)) (- (* (* x x) 1/45) 1/3) (* (* x x) 1/45) (- (/ 1 x) (/ 1 (tan x))) (/ (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (* (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3))) (* (- (pow (* (* x x) 1/45) 4) 1/81) x) (- (pow (* (* x x) 1/45) 4) 1/81) (pow (* (* x x) 1/45) 4) 1/81 (* (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3)))

simplify143.0ms (1.1%)

Memory

-0.7MiB live, 145.3MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	243	728
1	672	728
2	1960	717
3	7117	717
0	8219	685

Stop Event

1×	iter limit
1×	node limit

Counts

78 → 77

Calls

Call 1

Inputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
1/27
(+ 1/27 (* 1/91125 (pow x 6)))
(pow x 6)
x
(* 9 x)
(* x (+ 9 (* 3/5 (pow x 2))))
(* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4))))))
(* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375))))))
1/9
(+ 1/9 (* -1/135 (pow x 2)))
(+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))
(* -1 (pow x 2))
(* -1 x)
(+ 1/9 (* 1/2025 (pow x 4)))
(pow x 4)
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
-1/9
(- (* 1/2025 (pow x 4)) 1/9)
-1/3
(- (* 1/45 (pow x 2)) 1/3)
(* 1/45 (pow x 2))
(pow x 2)
(* 1/27 x)
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(* -3 x)
(* x (- (* -1/5 (pow x 2)) 3))
(* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))
(* -1/81 x)
(* x (- (* 1/4100625 (pow x 8)) 1/81))
-1/81
(- (* 1/4100625 (pow x 8)) 1/81)
(* 1/4100625 (pow x 8))
-1/27
(- (* 1/405 (pow x 2)) 1/27)
(- (* (pow x 2) (+ 1/405 (* -1/6075 (pow x 2)))) 1/27)
(- (* (pow x 2) (+ 1/405 (* (pow x 2) (- (* 1/91125 (pow x 2)) 1/6075)))) 1/27)
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/91125 (pow x 6))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(/ 2025 (pow x 3))
(/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3))
(/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3))
(* 1/2025 (pow x 4))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/91125 (pow x 7))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(/ 45 x)
(/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)
(* 1/4100625 (pow x 9))
(* (pow x 9) (- 1/4100625 (* 1/81 (/ 1 (pow x 8)))))
(* (pow x 8) (- 1/4100625 (* 1/81 (/ 1 (pow x 8)))))
(* (pow x 6) (- 1/91125 (* 1/6075 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/91125 (/ 1/405 (pow x 4))) (* 1/6075 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/91125 (/ 1/405 (pow x 4))) (+ (* 1/6075 (/ 1 (pow x 2))) (* 1/27 (/ 1 (pow x 6))))))
(* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))
(* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))
(* -1 (* (pow x 9) (- (* 1/81 (/ 1 (pow x 8))) 1/4100625)))

Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(.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)
1/27
#s(literal 1/27 binary64)
(+ 1/27 (* 1/91125 (pow x 6)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
x
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* 3/5 (pow x 2))))
(.f64 (fma.f64 #s(literal 3/5 binary64) (.f64 x x) #s(literal 9 binary64)) x)
(* x (+ 9 (* (pow x 2) (+ 3/5 (* -1/375 (pow x 4))))))
(.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/375 binary64) #s(literal 3/5 binary64)) (.f64 x x) #s(literal 9 binary64)) x)
(* x (+ 9 (* (pow x 2) (+ 3/5 (* (pow x 4) (- (* -1/5625 (pow x 2)) 1/375))))))
(.f64 (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal -1/5625 binary64) (.f64 x x)) #s(literal 1/375 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 3/5 binary64)) (.f64 x x) #s(literal 9 binary64)) x)
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* -1/135 (pow x 2)))
(fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))
(+ 1/9 (* (pow x 2) (- (* 1/2025 (pow x 2)) 1/135)))
(fma.f64 (fma.f64 #s(literal 1/2025 binary64) (.f64 x x) #s(literal -1/135 binary64)) (.f64 x x) #s(literal 1/9 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 x)
(neg.f64 x)
(+ 1/9 (* 1/2025 (pow x 4)))
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* -1/9 x)
(*.f64 #s(literal -1/9 binary64) x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
(*.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x)
-1/9
#s(literal -1/9 binary64)
(- (* 1/2025 (pow x 4)) 1/9)
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* 1/45 (pow x 2)) 1/3)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
(* 1/45 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
(pow x 2)
(*.f64 x x)
(* 1/27 x)
(*.f64 #s(literal 1/27 binary64) x)
(* x (+ 1/27 (* 1/91125 (pow x 6))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* x (- (* -1/5 (pow x 2)) 3))
(.f64 (-.f64 (.f64 #s(literal -1/5 binary64) (*.f64 x x)) #s(literal 3 binary64)) x)
(* x (- (* (pow x 2) (- (* -1/75 (pow x 2)) 1/5)) 3))
(.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/75 binary64) (*.f64 x x)) #s(literal 1/5 binary64)) x) x) #s(literal 3 binary64)) x)
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/1125 (pow x 2)) 1/75)) 1/5)) 3))
(.f64 (-.f64 (.f64 (-.f64 (.f64 (.f64 (-.f64 (.f64 #s(literal -1/1125 binary64) (.f64 x x)) #s(literal 1/75 binary64)) x) x) #s(literal 1/5 binary64)) (*.f64 x x)) #s(literal 3 binary64)) x)
(* -1/81 x)
(*.f64 #s(literal -1/81 binary64) x)
(* x (- (* 1/4100625 (pow x 8)) 1/81))
(*.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64)) x)
-1/81
#s(literal -1/81 binary64)
(- (* 1/4100625 (pow x 8)) 1/81)
(fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64) #s(literal -1/81 binary64))
(* 1/4100625 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4100625 binary64))
-1/27
#s(literal -1/27 binary64)
(- (* 1/405 (pow x 2)) 1/27)
(fma.f64 #s(literal 1/405 binary64) (*.f64 x x) #s(literal -1/27 binary64))
(- (* (pow x 2) (+ 1/405 (* -1/6075 (pow x 2)))) 1/27)
(fma.f64 (fma.f64 #s(literal -1/6075 binary64) (.f64 x x) #s(literal 1/405 binary64)) (.f64 x x) #s(literal -1/27 binary64))
(- (* (pow x 2) (+ 1/405 (* (pow x 2) (- (* 1/91125 (pow x 2)) 1/6075)))) 1/27)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/91125 binary64) (.f64 x x) #s(literal -1/6075 binary64)) (.f64 x x) #s(literal 1/405 binary64)) (*.f64 x x) #s(literal -1/27 binary64))
(* -1 (/ (cos x) (sin x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(* 1/45 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 1/91125 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(/ 2025 (pow x 3))
(/.f64 #s(literal 2025 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 30375 binary64) (*.f64 x x)) #s(literal 2025 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ 2025 (* 30375 (/ 1 (pow x 2)))) (/ 6834375 (pow x 6))) (pow x 3))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 30375 binary64) (*.f64 x x)) #s(literal 2025 binary64)) (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2025 (+ (* -1 (/ (+ 6834375 (* 102515625 (/ 1 (pow x 2)))) (pow x 6))) (* 30375 (/ 1 (pow x 2))))) (pow x 3))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -6834375 binary64) (/.f64 #s(literal 102515625 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal -30375 binary64) (.f64 x x)) #s(literal 2025 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* 1/2025 (pow x 4))
(*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- 1/2025 (* 1/135 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/135 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1/2025 (/ 1/9 (pow x 4))) (* 1/135 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/9 binary64) (.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/135 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(* (pow x 4) (+ 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))
(* 1/2025 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2025 binary64))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(*.f64 (-.f64 #s(literal 1/2025 binary64) (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 4) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x)
(* 1/91125 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/91125 binary64))
(* (pow x 7) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/91125 binary64)))
(/ 45 x)
(/.f64 #s(literal 45 binary64) x)
(/ (+ 45 (* 675 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 675 binary64) (*.f64 x x)) #s(literal 45 binary64)) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (/ 10125 (pow x 4)))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 10125 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 45 binary64)) (/.f64 #s(literal -675 binary64) (*.f64 x x))) x)
(/ (+ 45 (+ (* 675 (/ 1 (pow x 2))) (+ (* 151875 (/ 1 (pow x 6))) (/ 10125 (pow x 4))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 151875 binary64) (.f64 x x)) #s(literal -10125 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -675 binary64) (.f64 x x)) #s(literal 45 binary64))) x)
(* 1/4100625 (pow x 9))
(*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/4100625 binary64))
(* (pow x 9) (- 1/4100625 (* 1/81 (/ 1 (pow x 8)))))
(*.f64 (-.f64 #s(literal 1/4100625 binary64) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 8) (- 1/4100625 (* 1/81 (/ 1 (pow x 8)))))
(*.f64 (-.f64 #s(literal 1/4100625 binary64) (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 6) (- 1/91125 (* 1/6075 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/91125 binary64) (/.f64 #s(literal 1/6075 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/91125 (/ 1/405 (pow x 4))) (* 1/6075 (/ 1 (pow x 2)))))
(.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/405 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/91125 binary64)) (/.f64 #s(literal 1/6075 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/91125 (/ 1/405 (pow x 4))) (+ (* 1/6075 (/ 1 (pow x 2))) (* 1/27 (/ 1 (pow x 6))))))
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/405 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/91125 binary64)) (/.f64 #s(literal 1/6075 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64))
(* -1 (/ (- (/ 6834375 (pow x 6)) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2025 binary64)) (/.f64 #s(literal 30375 binary64) (*.f64 x x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(* -1 (/ (- (+ (* 102515625 (/ 1 (pow x 8))) (/ 6834375 (pow x 6))) (+ 2025 (* 30375 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2025 binary64)) (/.f64 #s(literal 30375 binary64) (*.f64 x x))) #s(literal -1 binary64) (/.f64 #s(literal -102515625 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2025 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (- (* -1 (/ (+ 675 (* 10125 (/ 1 (pow x 2)))) (pow x 2))) 45) x))
(/.f64 (+.f64 (/.f64 #s(literal -675 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -10125 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 45 binary64))) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (+ 10125 (* 151875 (/ 1 (pow x 2)))) (pow x 4))) (+ 45 (* 675 (/ 1 (pow x 2))))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -151875 binary64) (.f64 x x)) #s(literal 10125 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 675 binary64) (.f64 x x)) #s(literal 45 binary64))) (neg.f64 x))
(* -1 (* (pow x 9) (- (* 1/81 (/ 1 (pow x 8))) 1/4100625)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1/4100625 binary64))) (pow.f64 x #s(literal 9 binary64)))

rewrite148.0ms (1.2%)

Memory

22.0MiB live, 112.6MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	479
0	94	449
1	373	398
0	2636	393

Stop Event

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

Counts

48 → 585

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))))
(.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))))
(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))
#s(literal 1/91125 binary64)
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 1/27 binary64)
(/.f64 x (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
#s(literal 1/135 binary64)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/2025 binary64)
#s(literal 1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- (pow ( 1/45 (* x x)) 2) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
(/.f64 (.f64 #s(approx (- (pow ( 1/45 (* x x)) 2) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64)))
(.f64 #s(approx (- (pow ( 1/45 (* x x)) 2) 1/9) #s(literal -1/9 binary64)) x)
#s(approx (- (pow (* 1/45 (* x x)) 2) 1/9) #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
#s(literal 1/45 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) #s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) #s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x)
(fma.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))
(/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))
(-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))
(.f64 (.f64 x x) #s(literal 1/45 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(.f64 (-.f64 (pow.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) x)
(-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64))
(pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64))
#s(literal 1/81 binary64)
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (-.f64 (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/135 binary64) (*.f64 (neg.f64 x) x)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64)) #s(literal 1/2460375 binary64) (pow.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/135 binary64) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))))
(.f64 (/.f64 x (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64)) (/.f64 x (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64)) (/.f64 x (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))) (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/729 binary64) (*.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (.f64 (/.f64 x (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)))
(/.f64 (.f64 (/.f64 x (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64))) (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/729 binary64) (*.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (.f64 (neg.f64 x) (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (.f64 (neg.f64 (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))))
(/.f64 (.f64 (neg.f64 x) (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64))) (.f64 (neg.f64 (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(/.f64 (.f64 x (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (.f64 (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))))
(/.f64 (.f64 x (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64))) (.f64 (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64)) (neg.f64 x)) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)) (neg.f64 (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64)) (neg.f64 x)) (.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64)) x) (.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)) (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64)) x) (.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))
(fma.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (/.f64 x (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (.f64 #s(literal 1/27 binary64) (/.f64 x (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))))
(fma.f64 (/.f64 x (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) #s(literal 1/27 binary64)))
(fma.f64 (/.f64 x (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) #s(literal 1/27 binary64) (.f64 (/.f64 x (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))))
(fma.f64 #s(literal 1/27 binary64) (/.f64 x (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (/.f64 x (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (/.f64 x (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))) (.f64 #s(literal 1/27 binary64) (/.f64 x (fma.f64 #s(literal 1/135 binary64) (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))))
(+.f64 (.f64 #s(literal 1/27 binary64) (/.f64 x (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (/.f64 x (fma.f64 #s(literal 1/135 binary64) (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))))))
(+.f64 (.f64 (/.f64 x (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))) (.f64 (/.f64 x (fma.f64 #s(literal 1/135 binary64) (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) #s(literal 1/27 binary64)))
(+.f64 (.f64 (/.f64 x (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) #s(literal 1/27 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal 1/135 binary64) (.f64 (neg.f64 x) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/27 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64))) (neg.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/729 binary64) (*.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(/.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/729 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1/27 binary64)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64)) (+.f64 #s(literal 1/729 binary64) (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/756680642578125 binary64) #s(literal 1/19683 binary64)) (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/729 binary64) (*.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))))
(fma.f64 (*.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))
(fma.f64 (.f64 #s(literal 1/91125 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/27 binary64))
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(fma.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal 1/9 binary64) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) (.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(fma.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) (.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(+.f64 (.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(+.f64 (.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) (.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))))
(+.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(+.f64 (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))))

eval174.0ms (1.4%)

Memory: -23.2MiB live, 160.5MiB allocated; 27ms collecting garbage
Compiler: Compiled 26 965 to 2 912 computations (89.2% saved)

prune25.0ms (0.2%)

Memory

-9.5MiB live, 49.1MiB allocated; 22ms collecting garbage

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	712	7	719
Fresh	0	0	0
Picked	5	0	5
Done	0	4	4
Total	717	11	728

Accuracy

100.0%

Counts

728 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x)))
	99.1%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) x) #s(approx ( (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3)) #s(literal -1/27 binary64))))
	54.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- (pow ( 1/45 (* x x)) 2) 1/9) #s(literal -1/9 binary64)) x) #s(approx (- (* 1/45 (* x x)) 1/3) (.f64 (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x))))
	99.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- (pow ( 1/45 (* x x)) 2) 1/9) #s(literal -1/9 binary64)) x) #s(approx (- (* 1/45 (* x x)) 1/3) #s(literal -1/3 binary64))))
	99.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (.f64 #s(literal 1/27 binary64) x)) #s(approx (- (+ (pow ( 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64))))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x #s(approx (- (+ (pow ( 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64)))))
✓	99.3%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
	99.5%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(approx (- (pow ( 1/45 (* x x)) 2) 1/9) #s(literal -1/9 binary64))))
✓	99.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
	34.9%	#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))))

Compiler

Compiled 906 to 397 computations (56.2% saved)

regimes10.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated; 0ms collecting garbage

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.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 #s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (.f64 #s(literal 1/27 binary64) x)) #s(approx (- (+ (pow ( 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- (pow ( 1/45 (* x x)) 2) 1/9) #s(literal -1/9 binary64)) x) #s(approx (- (* 1/45 (* x x)) 1/3) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(approx (- (pow ( 1/45 (* x x)) 2) 1/9) #s(literal -1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- (pow ( 1/45 (* x x)) 2) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- (pow ( 1/45 (* x x)) 2) 1/9) #s(literal -1/9 binary64)) x) #s(approx (- (* 1/45 (* x x)) 1/3) (.f64 (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x #s(approx (- (+ (pow ( 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) #s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) x) #s(approx ( (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3)) #s(literal -1/27 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) x) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 x x) #s(literal 1/135 binary64)))))

Outputs

#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))))

Calls

2 calls:

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

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes12.0ms (0.1%)

Memory

-26.9MiB live, 18.4MiB allocated; 5ms collecting garbage

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.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 #s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (.f64 #s(literal 1/27 binary64) x)) #s(approx (- (+ (pow ( 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- (pow ( 1/45 (* x x)) 2) 1/9) #s(literal -1/9 binary64)) x) #s(approx (- (* 1/45 (* x x)) 1/3) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(approx (- (pow ( 1/45 (* x x)) 2) 1/9) #s(literal -1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- (pow ( 1/45 (* x x)) 2) 1/9) #s(literal -1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (fma.f64 x #s(literal 1/3 binary64) (.f64 (.f64 (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) x) x) x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- (pow ( 1/45 (* x x)) 2) 1/9) #s(literal -1/9 binary64)) x) #s(approx (- (* 1/45 (* x x)) 1/3) (.f64 (.f64 (-.f64 #s(literal 1/45 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) x) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (/.f64 x #s(approx (- (+ (pow ( 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) #s(approx (* (+ (* 1/91125 (pow x 6)) 1/27) (/ x (+ (* (* (neg x) x) 1/135) (+ (* (pow x 4) 1/2025) 1/9)))) (.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) #s(approx (- (+ (pow (* 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 4 binary64)) #s(literal 1/81 binary64)) x) #s(approx ( (+ (* (pow x 4) 1/2025) 1/9) (- (* (* x x) 1/45) 1/3)) #s(literal -1/27 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) (/.f64 x (-.f64 (.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 1/45 binary64) (.f64 x x)) #s(literal 2 binary64)) #s(literal 1/9 binary64)) x) (-.f64 (.f64 #s(literal 1/45 binary64) (*.f64 x x)) #s(literal 1/3 binary64))))

Outputs

#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(approx (- (pow (* 1/45 (* x x)) 2) 1/9) #s(literal -1/9 binary64))))

Calls

2 calls:

6.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
4.0ms	x

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.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 #s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (.f64 #s(literal 1/27 binary64) x)) #s(approx (- (+ (pow ( 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- (pow ( 1/45 (* x x)) 2) 1/9) #s(literal -1/9 binary64)) x) #s(approx (- (* 1/45 (* x x)) 1/3) #s(literal -1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.4%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.4%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory

14.1MiB live, 14.1MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.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 #s(approx (* (+ (* (pow (* x x) 3) 1/91125) 1/27) x) (.f64 #s(literal 1/27 binary64) x)) #s(approx (- (+ (pow ( 1/45 (* x x)) 2) 1/9) (* (* x x) 1/135)) #s(literal 1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (.f64 #s(approx (- (pow ( 1/45 (* x x)) 2) 1/9) #s(literal -1/9 binary64)) x) #s(approx (- (* 1/45 (* x x)) 1/3) #s(literal -1/3 binary64))))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.3%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.3%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.0%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`
99.0%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify44.0ms (0.3%)

Memory

6.0MiB live, 52.0MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	111
1	68	111
2	131	111
3	479	111
4	1785	111
5	4756	111

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(approx (- (pow ( 1/45 (* x x)) 2) 1/9) #s(literal -1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#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 #s(literal 1/3 binary64) x))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (/.f64 x (fma.f64 (.f64 (neg.f64 x) x) #s(literal 1/135 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal 1/9 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (/.f64 x (-.f64 (.f64 (.f64 x x) #s(literal 1/45 binary64)) #s(literal 1/3 binary64))) #s(approx (- (pow ( 1/45 (* x x)) 2) 1/9) #s(literal -1/9 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#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 #s(literal 1/3 binary64) x))

derivations207.0ms (1.6%)

Memory

-29.4MiB live, 111.7MiB allocated; 18ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 111 to 50 computations (55% saved)

preprocess40.0ms (0.3%)

Memory: 33.0MiB live, 77.3MiB allocated; 5ms collecting garbage
Remove: (negabs x)
Compiler: Compiled 346 to 192 computations (44.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze5.0ms (0%)

sample9.9s (77.7%)

explain420.0ms (3.3%)

preprocess641.0ms (5%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0%)

simplify174.0ms (1.4%)

rewrite42.0ms (0.3%)

eval7.0ms (0.1%)

prune3.0ms (0%)

series6.0ms (0%)

simplify191.0ms (1.5%)

rewrite90.0ms (0.7%)

eval22.0ms (0.2%)

prune6.0ms (0%)

series16.0ms (0.1%)

simplify164.0ms (1.3%)

rewrite86.0ms (0.7%)

eval122.0ms (1%)

prune16.0ms (0.1%)

series23.0ms (0.2%)

simplify143.0ms (1.1%)

rewrite148.0ms (1.2%)

eval174.0ms (1.4%)

prune25.0ms (0.2%)

regimes10.0ms (0.1%)

regimes12.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify44.0ms (0.3%)

derivations207.0ms (1.6%)

preprocess40.0ms (0.3%)

end0.0ms (0%)

Profiling