Metrics for invcot (example 3.9)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze9.0ms (0.1%)

Memory

-18.0MiB live, 20.3MiB allocated

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)

sample10.8s (66.1%)

Memory

55.9MiB live, 9 117.5MiB allocated

Samples

8.7s	3 896×	2	valid
1.7s	4 280×	1	valid
35.0ms	80×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 9.7s

ival-tan: 8.0s (82.1% of total)

ival-div: 818.0ms (8.4% of total)

const: 387.0ms (4% of total)

adjust: 279.0ms (2.9% of total)

ival-sub: 185.0ms (1.9% of total)

ival-<: 53.0ms (0.5% of total)

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

exact: 6.0ms (0.1% of total)

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

Bogosity

explain484.0ms (3%)

Memory

21.1MiB live, 646.3MiB allocated

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

360.0ms	224×	2	valid
66.0ms	286×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 400.0ms

ival-tan: 361.0ms (90.3% of total)

ival-div: 20.0ms (5% of total)

adjust: 11.0ms (2.8% of total)

ival-sub: 6.0ms (1.5% of total)

ival-true: 1.0ms (0.3% of total)

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

exact: 0.0ms (0% of total)

preprocess20.0ms (0.1%)

Memory

28.1MiB live, 28.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	21	19
2	54	16
3	131	16
4	204	16
5	228	16
6	230	16
0	6	8
0	10	8
1	14	8
2	22	8
3	31	8
4	43	8
5	63	8
6	102	8
7	134	8
8	192	8
9	225	8
10	247	8
0	247	8

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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

Symmetry

(negabs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.8%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify16.0ms (0.1%)

Memory

-34.9MiB live, 5.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(tan.f64 x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (tan.f64 x))
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
0	10	19
1	14	19
2	22	19
3	31	19
4	43	19
5	63	19
6	102	19
7	134	19
8	192	19
9	225	19
10	247	19
0	247	19

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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

localize355.0ms (2.2%)

Memory

32.4MiB live, 188.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 1 binary64) x)
accuracy	0	(tan.f64 x)
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (tan.f64 x))
accuracy	60.24540527462039	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))

Samples

312.0ms	112×	2	valid
35.0ms	143×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 40 to 14 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 333.0ms

ival-tan: 314.0ms (94.2% of total)

ival-div: 10.0ms (3% of total)

adjust: 5.0ms (1.5% of total)

ival-sub: 3.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

4 → 48

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)
(/.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)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 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
(* 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)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))

Calls

3 calls:

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

simplify289.0ms (1.8%)

Memory

-24.2MiB live, 166.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	324
1	179	324
2	458	318
3	1332	318
4	2094	318
5	3093	318
6	3681	318
7	3948	318
8	5088	318
9	7270	318
0	8431	300

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

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)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 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
(* 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)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (cos x) (sin x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))

Outputs
(*.f64 #s(literal 1/3 binary64) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #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 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (.f64 x x) #s(literal 1 binary64)) x)
(/.f64 (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)) (*.f64 x x) #s(literal 1 binary64)) x)
x
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (cos.f64 x))

rewrite118.0ms (0.7%)

Memory

1.1MiB live, 125.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
0	10	17
1	49	17
2	454	17
3	5706	17
0	9203	17

Stop Event

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

Counts

4 → 277

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

Outputs
(.f64 (/.f64 (-.f64 (tan.f64 x) x) (.f64 x (sin.f64 x))) (cos.f64 x))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (/.f64 (-.f64 (tan.f64 x) x) x)) (tan.f64 x))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (-.f64 (pow.f64 x #s(literal -4 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal -4 binary64)) (pow.f64 (.f64 x (tan.f64 x)) #s(literal -2 binary64))))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) x))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 x (tan.f64 x)) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -6 binary64)))) (fma.f64 (/.f64 (-.f64 x (tan.f64 x)) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) x)) (-.f64 (/.f64 (-.f64 x (tan.f64 x)) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (-.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 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64)))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 x (tan.f64 x)) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) x))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (-.f64 (tan.f64 x) x)) (.f64 x (tan.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.f64 x)) (cos.f64 x))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) (.f64 (tan.f64 x) (/.f64 x (-.f64 (tan.f64 x) x))))
(.f64 (.f64 (-.f64 (tan.f64 x) x) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64)))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 x (tan.f64 x)) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) x))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (-.f64 (tan.f64 x) x)) (-.f64 (tan.f64 x) x))
(.f64 (.f64 (-.f64 (tan.f64 x) x) #s(literal 1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) x))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) x))
(.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 x (tan.f64 x)) (.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) x))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))))
(.f64 (.f64 (tan.f64 x) (/.f64 x (-.f64 (tan.f64 x) x))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
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(/.f64 (/.f64 x (tan.f64 x)) x)
(/.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(/.f64 x (.f64 (.f64 x (tan.f64 x)) #s(literal -1 binary64)))
(/.f64 x (*.f64 x (tan.f64 x)))
(/.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (tan.f64 x) #s(literal -3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) (tan.f64 x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (tan.f64 x)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (tan.f64 x)) x))
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(neg.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log.f64 (tan.f64 x)) #s(literal -1/2 binary64) (*.f64 (log.f64 (tan.f64 x)) #s(literal -1/2 binary64))))
(exp.f64 (+.f64 (log.f64 x) (neg.f64 (log.f64 (*.f64 x (tan.f64 x))))))
(exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 (.f64 x (tan.f64 x))) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 (tan.f64 x))))
(*.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (sin.f64 x))
(*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (tan.f64 x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (sin.f64 x) (.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (neg.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64))))
(*.f64 (sin.f64 x) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(*.f64 (tan.f64 x) #s(literal -1 binary64))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(pow.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (tan.f64 x))
(/.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
(/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(/.f64 (sin.f64 x) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 x) (*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (tan.f64 x) #s(literal -1 binary64))
(/.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(neg.f64 (tan.f64 x))
(tan.f64 x)
(-.f64 #s(literal 0 binary64) (tan.f64 x))
(+.f64 #s(literal 0 binary64) (tan.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (tan.f64 x)))

eval37.0ms (0.2%)

Memory: 16.2MiB live, 52.8MiB allocated
Compiler: Compiled 5 644 to 767 computations (86.4% saved)

prune5.0ms (0%)

Memory

18.6MiB live, 18.6MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	321	3	324
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	322	3	325

Accuracy

99.4%

Counts

325 → 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))
▶	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶	99.2%	#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))

▶

99.4%

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

▶

99.2%

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

Compiler

Compiled 51 to 35 computations (31.4% saved)

simplify128.0ms (0.8%)

Memory

-6.1MiB live, 69.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
cost-diff	0	(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))
cost-diff	0	(.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)
cost-diff	0	#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))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
cost-diff	0	(*.f64 #s(literal 1/3 binary64) x)
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	113
0	29	113
1	48	113
2	83	113
3	145	113
4	237	113
5	263	113
6	305	113
7	337	113
8	588	113
9	1987	113
10	2697	113
11	2789	113
12	2789	113
13	2791	113
14	2792	113
0	2792	113

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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)
x
#s(literal 1/45 binary64)
#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))
(.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)
(*.f64 x x)
x
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)

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

localize322.0ms (2%)

Memory

-5.4MiB live, 342.9MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	#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))
accuracy	0.00390625	(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))
accuracy	0.00390625	(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
accuracy	0.38671875	(.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)
accuracy	0	(*.f64 x x)
accuracy	0.0078125	(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
accuracy	0.02462414354756681	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
accuracy	0.38671875	(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
accuracy	0.1407972612565	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
accuracy	0.390625	(*.f64 #s(literal 1/3 binary64) x)

Samples

216.0ms	112×	2	valid
82.0ms	143×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 208 to 40 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 275.0ms

ival-tan: 185.0ms (67.3% of total)

const: 25.0ms (9.1% of total)

ival-add: 20.0ms (7.3% of total)

ival-mult: 18.0ms (6.6% of total)

adjust: 13.0ms (4.7% of total)

ival-div: 11.0ms (4% of total)

ival-sub: 3.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0%)

Memory

12.1MiB live, 12.1MiB allocated

Counts

10 → 120

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

2.0ms

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

2.0ms

-inf

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

2.0ms

inf

((- (/ 1 x) (/ 1 (tan 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 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))

simplify180.0ms (1.1%)

Memory

3.4MiB live, 164.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	908
1	185	908
2	478	908
3	1158	908
4	2335	908
5	5653	908
0	8092	833

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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

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

rewrite177.0ms (1.1%)

Memory

-18.0MiB live, 174.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	101
0	29	101
1	123	101
2	933	101
0	8743	101

Stop Event

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

Counts

10 → 309

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

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1/3 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x))
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(.f64 (fma.f64 #s(literal 8/843908625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2025 binary64) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (*.f64 x x) #s(literal -2/42525 binary64))))))
(.f64 (fma.f64 #s(literal 8/843908625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (pow.f64 (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (.f64 #s(literal 2/42525 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal 1/45 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 4 binary64)) #s(literal 1/4100625 binary64)) (pow.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 64/712181767349390625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/8303765625 binary64)) (pow.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 4 binary64)) #s(literal 1/4100625 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4/1808375625 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 64/712181767349390625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/8303765625 binary64)) (pow.f64 (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (.f64 #s(literal 2/42525 binary64) (*.f64 x x)))) #s(literal -1 binary64))) (fma.f64 #s(literal 8/843908625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/91125 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 512/601016336033894136931640625 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/756680642578125 binary64)) (pow.f64 (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (.f64 #s(literal 2/42525 binary64) (.f64 x x)))) #s(literal -1 binary64))) (fma.f64 #s(literal 64/712181767349390625 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/8303765625 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8/76901173453125 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 8/843908625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (.f64 #s(literal 2/42525 binary64) (*.f64 x x)))))
(/.f64 (.f64 (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64))) (/.f64 (.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)))) (.f64 (/.f64 #s(literal -1/2025 binary64) (fma.f64 #s(literal -2/945 binary64) (.f64 x x) #s(literal 1/45 binary64))) (/.f64 #s(literal -1/2025 binary64) (fma.f64 #s(literal -2/945 binary64) (.f64 x x) #s(literal 1/45 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64))) (/.f64 #s(literal -1/2025 binary64) (fma.f64 #s(literal -2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/2025 binary64) (fma.f64 #s(literal -2/945 binary64) (.f64 x x) #s(literal 1/45 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64))) (/.f64 (.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64))) (fma.f64 (/.f64 #s(literal -1/2025 binary64) (fma.f64 #s(literal -2/945 binary64) (.f64 x x) #s(literal 1/45 binary64))) (/.f64 #s(literal -1/2025 binary64) (fma.f64 #s(literal -2/945 binary64) (.f64 x x) #s(literal 1/45 binary64))) (.f64 (/.f64 (.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64))) (/.f64 #s(literal -1/2025 binary64) (fma.f64 #s(literal -2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2025 binary64) (.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/45 binary64) (.f64 #s(literal 2/945 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64)))) (neg.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8/843908625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (.f64 #s(literal 2/42525 binary64) (.f64 x x)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64))) (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) #s(literal 1/2025 binary64))) (.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64))))
(/.f64 (-.f64 #s(literal 1/2025 binary64) (.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/45 binary64) (.f64 #s(literal 2/945 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64))) (fma.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 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))) (neg.f64 (+.f64 #s(literal 1/2025 binary64) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal -2/42525 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8/843908625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))) (neg.f64 (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (.f64 #s(literal 2/42525 binary64) (.f64 x x))))))
(/.f64 (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64)) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal -1/45 binary64)))
(/.f64 (fma.f64 #s(literal 8/843908625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (+.f64 #s(literal 1/2025 binary64) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal -2/42525 binary64)))))
(/.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 #s(literal 2/42525 binary64) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/45 binary64) (.f64 #s(literal 2/945 binary64) (.f64 x x))) (-.f64 #s(literal 1/2025 binary64) (*.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2025 binary64) (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal -2/42525 binary64)))) (fma.f64 #s(literal 8/843908625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64))) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal -1/45 binary64))))
(neg.f64 (/.f64 (neg.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 #s(literal 2/42525 binary64) (.f64 x x))))))
(neg.f64 (/.f64 (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2025 binary64)) (fma.f64 #s(literal -2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal 8/843908625 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64)) (neg.f64 (fma.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/2025 binary64) (.f64 #s(literal 2/42525 binary64) (.f64 x x)))))))
(fma.f64 (*.f64 #s(literal 2/945 binary64) x) x #s(literal 1/45 binary64))
(fma.f64 (.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/2025 binary64) (fma.f64 #s(literal -2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)))))
(fma.f64 (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 1 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))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 2/945 binary64) (.f64 x x)) #s(literal 1/45 binary64))
(-.f64 (/.f64 #s(literal 1/2025 binary64) (-.f64 #s(literal 1/45 binary64) (.f64 #s(literal 2/945 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/45 binary64) (.f64 #s(literal 2/945 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64))) (/.f64 #s(literal -1/2025 binary64) (fma.f64 #s(literal -2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 4/893025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2/945 binary64) (.f64 x x) #s(literal -1/45 binary64))) (neg.f64 (/.f64 #s(literal -1/2025 binary64) (fma.f64 #s(literal -2/945 binary64) (*.f64 x x) #s(literal 1/45 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)))

eval83.0ms (0.5%)

Memory: 13.6MiB live, 86.2MiB allocated
Compiler: Compiled 14 198 to 1 415 computations (90% saved)

prune20.0ms (0.1%)

Memory

-7.2MiB live, 37.3MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	477	2	479
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	477	5	482

Accuracy

100.0%

Counts

482 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.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 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))) #s(literal -1 binary64)) x)))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
✓	99.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 102 to 74 computations (27.5% saved)

simplify188.0ms (1.2%)

Memory

6.2MiB live, 79.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
cost-diff	0	(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))) #s(literal -1 binary64)) x))
cost-diff	0	#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 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))) #s(literal -1 binary64)) x)))
cost-diff	128	(-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))
cost-diff	6080	(.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))) #s(literal -1 binary64)) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	183
0	47	183
1	77	179
2	147	173
3	289	173
4	561	173
5	813	173
6	1021	173
7	1447	173
8	2367	173
9	3287	173
10	3725	173
11	3894	173
12	3901	173
13	3904	173
14	3913	173
15	3989	173
16	4021	173
17	4021	173
18	4025	173
0	4025	167

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize486.0ms (3%)

Memory

18.9MiB live, 459.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
accuracy	0.00390625	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
accuracy	0.0078125	(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
accuracy	0.02462414354756681	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))))
accuracy	0.02462414354756681	#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 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))) #s(literal -1 binary64)) x)))
accuracy	0.0703125	(.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (*.f64 x x)))) #s(literal -1 binary64)) x)
accuracy	0.109375	(.f64 #s(literal 1/135 binary64) (.f64 x x))
accuracy	0.3828125	(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))) #s(literal -1 binary64)) x))

Samples

304.0ms	110×	2	valid
122.0ms	132×	1	valid
32.0ms	13×	3	valid
0.0ms	1×	0	valid

Compiler

Compiled 342 to 66 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 426.0ms

ival-tan: 240.0ms (56.3% of total)

const: 68.0ms (15.9% of total)

adjust: 58.0ms (13.6% of total)

ival-div: 17.0ms (4% of total)

ival-mult: 17.0ms (4% of total)

ival-pow: 12.0ms (2.8% of total)

ival-add: 8.0ms (1.9% of total)

ival-sub: 6.0ms (1.4% of total)

exact: 1.0ms (0.2% of total)

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

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

series10.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

9 → 108

Calls

Call 1

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

Outputs
(* 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 (* -1/135 (pow x 2)))
(+ 1/9 (* -1/135 (pow x 2)))
(* 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))))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 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))))))))
3
(+ 3 (* -1/5 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5)))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))
(/ 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))
(* -1/135 (pow x 2))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (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)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(/ 45 (pow x 2))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))
(/ 2025 (pow x 3))
(/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))
(* -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)))
(* -1/135 (pow x 2))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (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)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(/ 45 (pow x 2))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

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

3.0ms

inf

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

3.0ms

-inf

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

simplify168.0ms (1%)

Memory

-14.0MiB live, 130.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	938
1	350	937
2	922	936
3	2249	936
4	5204	936
0	8555	876

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(* 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 (* -1/135 (pow x 2)))
(+ 1/9 (* -1/135 (pow x 2)))
(* 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))))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* 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))))))))
3
(+ 3 (* -1/5 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5)))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(+ 1/3 (* 1/45 (pow x 2)))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))
(/ 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))
(* -1/135 (pow x 2))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (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)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(/ 45 (pow x 2))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))
(/ 2025 (pow x 3))
(/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))
(* -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)))
(* -1/135 (pow x 2))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1/135))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (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)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(/ 45 (pow x 2))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))
(* 1/135 (pow x 2))

Outputs
(*.f64 #s(literal 9 binary64) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 3/5 binary64) #s(literal 9 binary64)) x)
(.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)
(.f64 (fma.f64 (fma.f64 (fma.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)
#s(literal 1/9 binary64)
(fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))
(fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))
(fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(.f64 (fma.f64 #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 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(*.f64 #s(literal 1/3 binary64) 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 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(*.f64 #s(literal 1/3 binary64) 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 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(*.f64 #s(literal 1/3 binary64) x)
(.f64 (fma.f64 #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 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
#s(literal 3 binary64)
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
(fma.f64 (fma.f64 #s(literal 1/75 binary64) (.f64 x x) #s(literal -1/5 binary64)) (.f64 x x) #s(literal 3 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1125 binary64) (.f64 x x) #s(literal 1/75 binary64)) (.f64 x x) #s(literal -1/5 binary64)) (*.f64 x x) #s(literal 3 binary64))
#s(literal 1/3 binary64)
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(.f64 #s(literal 1/135 binary64) (.f64 x x))
(.f64 #s(literal 1/135 binary64) (.f64 x x))
(.f64 #s(literal 1/135 binary64) (.f64 x x))
(.f64 #s(literal 1/135 binary64) (.f64 x x))
(/.f64 #s(literal 2025 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 30375 binary64) (*.f64 x x)) #s(literal -2025 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal -6834375 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal -2025 binary64) (/.f64 #s(literal 30375 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -6834375 binary64) (/.f64 #s(literal 102515625 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal -2025 binary64) (/.f64 #s(literal 30375 binary64) (.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1/135 binary64) (.f64 x x))
(fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))
(fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))
(fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 #s(literal 45 binary64) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 45 binary64) (/.f64 #s(literal 675 binary64) (*.f64 x x))) x) 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))) (.f64 x x))
(/.f64 (-.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))) (/.f64 #s(literal 151875 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 x x))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(.f64 #s(literal 1/135 binary64) (.f64 x x))
(.f64 #s(literal 1/135 binary64) (.f64 x x))
(.f64 #s(literal 1/135 binary64) (.f64 x x))
(.f64 #s(literal 1/135 binary64) (.f64 x x))
(/.f64 #s(literal 2025 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 30375 binary64) (*.f64 x x)) #s(literal -2025 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal -6834375 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal -2025 binary64) (/.f64 #s(literal 30375 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -102515625 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal -2025 binary64)) (-.f64 (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 30375 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1/135 binary64) (.f64 x x))
(fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))
(fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))
(fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(/.f64 #s(literal 45 binary64) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 45 binary64) (/.f64 #s(literal 675 binary64) (*.f64 x x))) x) 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))) (.f64 x x))
(/.f64 (-.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))) (/.f64 #s(literal 151875 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 x x))
(.f64 #s(literal 1/45 binary64) (.f64 x x))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(.f64 #s(literal 1/135 binary64) (.f64 x x))
(.f64 #s(literal 1/135 binary64) (.f64 x x))
(.f64 #s(literal 1/135 binary64) (.f64 x x))
(.f64 #s(literal 1/135 binary64) (.f64 x x))

rewrite163.0ms (1%)

Memory

14.7MiB live, 171.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	126
0	47	152
1	192	90
2	1420	90
0	8441	88

Stop Event

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

Counts

9 → 376

Calls

Call 1

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

Outputs
(.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (.f64 #s(literal -1/135 binary64) (*.f64 x x))) #s(literal -1 binary64))))
(.f64 (/.f64 x (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (.f64 (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)) (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))))) #s(literal -1 binary64))))
(.f64 (pow.f64 (-.f64 (.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 x (pow.f64 (-.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (.f64 #s(literal -1/135 binary64) (*.f64 x x))) #s(literal -1 binary64))))
(.f64 (pow.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 x (pow.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (.f64 (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)) (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))))) #s(literal -1 binary64))))
(.f64 (.f64 x (pow.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1/2 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1/2 binary64)) x))
(.f64 (pow.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64)) x)
(.f64 x (pow.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))) x))
(/.f64 (pow.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 x (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))))
(.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/135 binary64) #s(literal 1/9 binary64)))))
(.f64 (neg.f64 (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 #s(literal 1/1215 binary64) (.f64 x x) (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64)))))
(.f64 (-.f64 #s(literal 1/81 binary64) (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/135 binary64) #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/9 binary64) (.f64 #s(literal -1/135 binary64) (*.f64 x x)))))))
(.f64 (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (+.f64 (fma.f64 #s(literal 1/1215 binary64) (.f64 x x) (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 (.f64 x x) #s(literal 1/135 binary64) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 (.f64 x x) #s(literal 1/135 binary64) #s(literal 1/9 binary64)))) (.f64 (/.f64 (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/135 binary64) #s(literal 1/9 binary64))) (/.f64 (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (.f64 x x) #s(literal 1/135 binary64) #s(literal 1/9 binary64))))) (+.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 (.f64 x x) #s(literal 1/135 binary64) #s(literal 1/9 binary64))) (/.f64 (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/135 binary64) #s(literal 1/9 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 (fma.f64 #s(literal 1/1215 binary64) (.f64 x x) (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64))) (/.f64 #s(literal 1/729 binary64) (+.f64 (fma.f64 #s(literal 1/1215 binary64) (.f64 x x) (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64)))) (.f64 (/.f64 (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal 1/1215 binary64) (.f64 x x) (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64))) (/.f64 (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal 1/1215 binary64) (.f64 x x) (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64))))) (+.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 (fma.f64 #s(literal 1/1215 binary64) (.f64 x x) (.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64))) (/.f64 (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal 1/1215 binary64) (.f64 x x) (*.f64 #s(literal 1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/81 binary64)))))
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(/.f64 (neg.f64 (neg.f64 (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 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64))) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (/.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/729 binary64)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #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 (fma.f64 #s(literal 1/756680642578125 binary64) (pow.f64 x #s(literal 18 binary64)) #s(literal 1/19683 binary64)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)))) (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/135 binary64) (.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/729 binary64))) (neg.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/756680642578125 binary64) (pow.f64 x #s(literal 18 binary64)) #s(literal 1/19683 binary64))) (neg.f64 (.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))))))
(/.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))
(/.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/729 binary64)) (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)))))
(/.f64 (fma.f64 #s(literal 1/756680642578125 binary64) (pow.f64 x #s(literal 18 binary64)) #s(literal 1/19683 binary64)) (.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))))
(/.f64 (-.f64 #s(literal -1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x))) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/135 binary64) (.f64 x x)))))
(/.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) (/.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/729 binary64)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 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 1/756680642578125 binary64) (pow.f64 x #s(literal 18 binary64)) #s(literal 1/19683 binary64)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x))) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)))) (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/729 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64)) (-.f64 #s(literal 1/729 binary64) (.f64 #s(literal 1/2460375 binary64) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))) (fma.f64 #s(literal 1/756680642578125 binary64) (pow.f64 x #s(literal 18 binary64)) #s(literal 1/19683 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/135 binary64) (.f64 x x)))) (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(neg.f64 (-.f64 #s(literal -1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x))))
(fma.f64 (*.f64 #s(literal 1/45 binary64) x) x #s(literal 1/3 binary64))
(fma.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (*.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 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/45 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64))) (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/135 binary64) (.f64 x x))))) (/.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -1/135 binary64) (*.f64 x x))))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64))) (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64))) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (.f64 x x) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/27 binary64))) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/135 binary64) (*.f64 x x) #s(literal 1/9 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) (.f64 #s(literal 1/45 binary64) (.f64 x x))))
(+.f64 (/.f64 (.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal -1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 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)))
(exp.f64 (neg.f64 (.f64 (log.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64))) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 1/45 binary64) (.f64 x x) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1/45 binary64) x) (*.f64 x #s(literal 1/3 binary64)))
(.f64 (.f64 #s(literal 1/135 binary64) x) x)
(.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 1/45 binary64) (.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(.f64 (.f64 x x) #s(literal 1/135 binary64))
(.f64 #s(literal 1/135 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/135 binary64) x))
(/.f64 (*.f64 #s(literal 1/135 binary64) x) (pow.f64 x #s(literal -1 binary64)))

eval116.0ms (0.7%)

Memory: -9.7MiB live, 119.8MiB allocated
Compiler: Compiled 18 516 to 1 661 computations (91% saved)

prune33.0ms (0.2%)

Memory

-14.5MiB live, 24.3MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	481	3	484
Fresh	0	0	0
Picked	2	0	2
Done	0	3	3
Total	483	6	489

Accuracy

100.0%

Counts

489 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
▶	99.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 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))
▶	99.1%	#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)) #s(approx ( (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x) (*.f64 #s(literal 9 binary64) x))))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
✓	99.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 137 to 99 computations (27.7% saved)

simplify91.0ms (0.6%)

Memory

24.2MiB live, 60.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
cost-diff	0	#s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))
cost-diff	0	(/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
cost-diff	0	#s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))
cost-diff	0	(/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64)))
cost-diff	0	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))))
cost-diff	0	(pow.f64 x #s(literal 6 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
cost-diff	0	(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) #s(approx ( (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x) (*.f64 #s(literal 9 binary64) x)))
cost-diff	0	#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)) #s(approx ( (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x) (*.f64 #s(literal 9 binary64) x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	224
0	54	224
1	85	224
2	137	218
3	200	218
4	312	218
5	435	218
6	592	218
7	754	218
8	1072	218
9	1627	218
10	1858	218
11	2033	218
12	2075	218
13	2107	218
14	2139	218
15	2159	218
16	2164	218
17	2165	218
0	2165	206

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#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)) #s(approx ( (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x) (*.f64 #s(literal 9 binary64) x))))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) #s(approx ( (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x) (*.f64 #s(literal 9 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 1/91125 binary64)
#s(literal 1/27 binary64)
#s(approx (* (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))))
(/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64)))
x
#s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
(/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))))
x
#s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
#s(literal -1/5 binary64)
(*.f64 x x)
#s(literal 3 binary64)

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx ( (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x) (*.f64 #s(literal 9 binary64) x)) (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))))
(.f64 #s(approx ( (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x) (*.f64 #s(literal 9 binary64) x)) (fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64)))
(fma.f64 #s(literal 1/91125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/27 binary64))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 1/91125 binary64)
#s(literal 1/27 binary64)
#s(approx (* (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
#s(literal 9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))))
(/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64)))
x
#s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
(/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))))
x
#s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
#s(literal -1/5 binary64)
(*.f64 x x)
#s(literal 3 binary64)

localize391.0ms (2.4%)

Memory

29.6MiB live, 415.8MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))))
accuracy	0.0223746892756375	#s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))
accuracy	0.02462414354756681	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
accuracy	0.00390625	(/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64)))
accuracy	0.02462414354756681	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))))
accuracy	0.13567086771294803	#s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))
accuracy	0	(*.f64 #s(literal 9 binary64) x)
accuracy	0.02462414354756681	#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)) #s(approx ( (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x) (*.f64 #s(literal 9 binary64) x))))
accuracy	0.20539377356665334	#s(approx (* (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x) (*.f64 #s(literal 9 binary64) x))
accuracy	0.3828125	(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) #s(approx ( (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x) (*.f64 #s(literal 9 binary64) x)))

Samples

213.0ms	110×	2	valid
113.0ms	132×	1	valid
40.0ms	13×	3	valid
0.0ms	1×	0	valid

Compiler

Compiled 365 to 84 computations (77% saved)

Precisions

Click to see histograms. Total time spent on operations: 333.0ms

ival-tan: 191.0ms (57.4% of total)

const: 33.0ms (9.9% of total)

ival-mult: 33.0ms (9.9% of total)

adjust: 26.0ms (7.8% of total)

ival-div: 24.0ms (7.2% of total)

ival-pow: 12.0ms (3.6% of total)

ival-add: 8.0ms (2.4% of total)

ival-sub: 6.0ms (1.8% of total)

exact: 1.0ms (0.3% of total)

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

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

series12.0ms (0.1%)

Memory

-20.0MiB live, 16.7MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#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)) #s(approx ( (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x) (*.f64 #s(literal 9 binary64) x))))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) #s(approx ( (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x) (*.f64 #s(literal 9 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(pow.f64 x #s(literal 6 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))))
(/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64)))
#s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
(/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))))
#s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
#s(approx (* (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
(*.f64 x 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))))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
1/27
(+ 1/27 (* 1/91125 (pow x 6)))
(+ 1/27 (* 1/91125 (pow x 6)))
(+ 1/27 (* 1/91125 (pow x 6)))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(* 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))))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
3
(+ 3 (* -1/5 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5)))
(* 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))))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
3
(+ 3 (* -1/5 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5)))
3
(+ 3 (* -1/5 (pow x 2)))
(+ 3 (* -1/5 (pow x 2)))
(+ 3 (* -1/5 (pow x 2)))
(* 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))))))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (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)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (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)))))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (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)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(/ 45 (pow x 2))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (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)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(/ 45 (pow x 2))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(* -1/5 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(/ 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))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (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)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (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)))))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (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)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(/ 45 (pow x 2))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (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)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(/ 45 (pow x 2))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(* -1/5 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(/ 2025 (pow x 3))
(/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))
(* -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)))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 6) 1/91125) 1/27) (* (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x)) (+ (* (pow x 6) 1/91125) 1/27) (pow x 6) (- (/ 1 x) (/ 1 (tan x))) (/ x (/ 1 (+ (* 1/45 (* x x)) 1/3))) (/ 1 (+ (* 1/45 (* x x)) 1/3)) (- (/ 1 x) (/ 1 (tan x))) (/ x (/ 1 (+ (* 1/45 (* x x)) 1/3))) (/ 1 (+ (* 1/45 (* x x)) 1/3)) (+ (* -1/5 (* x x)) 3) (* (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x) (* 9 x) (* x x))

3.0ms

inf

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 6) 1/91125) 1/27) (* (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x)) (+ (* (pow x 6) 1/91125) 1/27) (pow x 6) (- (/ 1 x) (/ 1 (tan x))) (/ x (/ 1 (+ (* 1/45 (* x x)) 1/3))) (/ 1 (+ (* 1/45 (* x x)) 1/3)) (- (/ 1 x) (/ 1 (tan x))) (/ x (/ 1 (+ (* 1/45 (* x x)) 1/3))) (/ 1 (+ (* 1/45 (* x x)) 1/3)) (+ (* -1/5 (* x x)) 3) (* (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x) (* 9 x) (* x x))

3.0ms

-inf

((- (/ 1 x) (/ 1 (tan x))) (* (+ (* (pow x 6) 1/91125) 1/27) (* (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x)) (+ (* (pow x 6) 1/91125) 1/27) (pow x 6) (- (/ 1 x) (/ 1 (tan x))) (/ x (/ 1 (+ (* 1/45 (* x x)) 1/3))) (/ 1 (+ (* 1/45 (* x x)) 1/3)) (- (/ 1 x) (/ 1 (tan x))) (/ x (/ 1 (+ (* 1/45 (* x x)) 1/3))) (/ 1 (+ (* 1/45 (* x x)) 1/3)) (+ (* -1/5 (* x x)) 3) (* (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x) (* 9 x) (* x x))

simplify145.0ms (0.9%)

Memory

0.6MiB live, 198.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	135	1346
1	352	1345
2	917	1344
3	2223	1344
4	5048	1344
0	8847	1263

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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))))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
1/27
(+ 1/27 (* 1/91125 (pow x 6)))
(+ 1/27 (* 1/91125 (pow x 6)))
(+ 1/27 (* 1/91125 (pow x 6)))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(* 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))))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
3
(+ 3 (* -1/5 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5)))
(* 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))))))))
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* 1/45 (pow x 2))))
3
(+ 3 (* -1/5 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5)))
3
(+ 3 (* -1/5 (pow x 2)))
(+ 3 (* -1/5 (pow x 2)))
(+ 3 (* -1/5 (pow x 2)))
(* 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))))))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (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)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (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)))))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (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)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(/ 45 (pow x 2))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (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)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(/ 45 (pow x 2))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(* -1/5 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(/ 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))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (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)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (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)))))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(* (pow x 6) (+ 1/91125 (* 1/27 (/ 1 (pow x 6)))))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (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)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(/ 45 (pow x 2))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(- (/ 1 x) (/ (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)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(/ 45 (pow x 2))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(* -1/5 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(/ 2025 (pow x 3))
(/ (+ 2025 (* 30375 (/ 1 (pow x 2)))) (pow x 3))
(* -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)))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
(*.f64 #s(literal 1/3 binary64) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #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 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(*.f64 #s(literal 1/3 binary64) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
#s(literal 1/27 binary64)
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(pow.f64 x #s(literal 6 binary64))
(pow.f64 x #s(literal 6 binary64))
(pow.f64 x #s(literal 6 binary64))
(pow.f64 x #s(literal 6 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #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 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(*.f64 #s(literal 1/3 binary64) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
#s(literal 3 binary64)
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
(fma.f64 (fma.f64 #s(literal 1/75 binary64) (.f64 x x) #s(literal -1/5 binary64)) (.f64 x x) #s(literal 3 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1125 binary64) (.f64 x x) #s(literal 1/75 binary64)) (.f64 x x) #s(literal -1/5 binary64)) (*.f64 x x) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #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 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (.f64 x x) #s(literal 2/945 binary64)) (.f64 x x) #s(literal 1/45 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
(*.f64 #s(literal 1/3 binary64) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
#s(literal 3 binary64)
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
(fma.f64 (fma.f64 #s(literal 1/75 binary64) (.f64 x x) #s(literal -1/5 binary64)) (.f64 x x) #s(literal 3 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1125 binary64) (.f64 x x) #s(literal 1/75 binary64)) (.f64 x x) #s(literal -1/5 binary64)) (*.f64 x x) #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
(*.f64 #s(literal 9 binary64) x)
(.f64 (fma.f64 #s(literal 3/5 binary64) (.f64 x x) #s(literal 9 binary64)) x)
(.f64 (fma.f64 (fma.f64 #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)
(.f64 (fma.f64 (fma.f64 (fma.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)
(*.f64 #s(literal 9 binary64) x)
(*.f64 #s(literal 9 binary64) x)
(*.f64 #s(literal 9 binary64) x)
(*.f64 #s(literal 9 binary64) x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(pow.f64 x #s(literal 6 binary64))
(pow.f64 x #s(literal 6 binary64))
(pow.f64 x #s(literal 6 binary64))
(pow.f64 x #s(literal 6 binary64))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(/.f64 #s(literal 45 binary64) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 45 binary64) (/.f64 #s(literal 675 binary64) (*.f64 x x))) x) 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))) (.f64 x x))
(/.f64 (/.f64 (-.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))) (/.f64 #s(literal 151875 binary64) (pow.f64 x #s(literal 6 binary64)))) x) x)
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(/.f64 #s(literal 45 binary64) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 45 binary64) (/.f64 #s(literal 675 binary64) (*.f64 x x))) x) 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))) (.f64 x x))
(/.f64 (/.f64 (-.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))) (/.f64 #s(literal 151875 binary64) (pow.f64 x #s(literal 6 binary64)))) x) x)
(.f64 #s(literal -1/5 binary64) (.f64 x x))
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
(/.f64 #s(literal 2025 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 30375 binary64) (*.f64 x x)) #s(literal -2025 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (-.f64 #s(literal 2025 binary64) (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -30375 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -6834375 binary64) (/.f64 #s(literal 102515625 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal -2025 binary64) (/.f64 #s(literal 30375 binary64) (.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 9 binary64) x)
(*.f64 #s(literal 9 binary64) x)
(*.f64 #s(literal 9 binary64) x)
(*.f64 #s(literal 9 binary64) x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(pow.f64 x #s(literal 6 binary64))
(pow.f64 x #s(literal 6 binary64))
(pow.f64 x #s(literal 6 binary64))
(pow.f64 x #s(literal 6 binary64))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(/.f64 #s(literal 45 binary64) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 45 binary64) (/.f64 #s(literal 675 binary64) (*.f64 x x))) x) 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))) (.f64 x x))
(/.f64 (/.f64 (-.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))) (/.f64 #s(literal 151875 binary64) (pow.f64 x #s(literal 6 binary64)))) x) x)
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(/.f64 #s(literal 45 binary64) (*.f64 x x))
(/.f64 (/.f64 (-.f64 #s(literal 45 binary64) (/.f64 #s(literal 675 binary64) (*.f64 x x))) x) 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))) (.f64 x x))
(/.f64 (/.f64 (-.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))) (/.f64 #s(literal 151875 binary64) (pow.f64 x #s(literal 6 binary64)))) x) x)
(.f64 #s(literal -1/5 binary64) (.f64 x x))
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
(/.f64 #s(literal 2025 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 30375 binary64) (*.f64 x x)) #s(literal -2025 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (-.f64 #s(literal 2025 binary64) (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -30375 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -102515625 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal -2025 binary64)) (-.f64 (/.f64 #s(literal 6834375 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 30375 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 9 binary64) x)
(*.f64 #s(literal 9 binary64) x)
(*.f64 #s(literal 9 binary64) x)
(*.f64 #s(literal 9 binary64) x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)

rewrite154.0ms (0.9%)

Memory

31.0MiB live, 220.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	214
0	54	214
1	219	208
2	1553	208
0	8460	196

Stop Event

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

Counts

14 → 206

Calls

Call 1

Inputs
#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)) #s(approx ( (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x) (*.f64 #s(literal 9 binary64) x))))
(.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) #s(approx ( (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x) (*.f64 #s(literal 9 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))
(pow.f64 x #s(literal 6 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))))
(/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64)))
#s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
(/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))))
#s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
#s(approx (* (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
(*.f64 x x)

Outputs
#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)) #s(approx ( (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x) (*.f64 #s(literal 9 binary64) x))))
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(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ ( 1/45 (* x x)) 1/3)) #s(literal 3 binary64)) x)) #s(literal -1 binary64)))
(.f64 #s(approx (/ 1 (+ ( 1/45 (* x x)) 1/3)) #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ ( 1/45 (* x x)) 1/3)) #s(literal 3 binary64))))
#s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))
(/.f64 (neg.f64 #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
(.f64 (pow.f64 (/.f64 #s(approx (/ 1 (+ ( 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal 3 binary64))) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (/ 1 (+ ( 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))) x) #s(literal -1/2 binary64)))
(.f64 (pow.f64 #s(approx (/ 1 (+ ( 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))) #s(literal -1 binary64)) x)
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ ( 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(approx (/ 1 (+ ( 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))) x))))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ ( 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
(.f64 x (pow.f64 #s(approx (/ 1 (+ ( 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ ( 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
(pow.f64 (/.f64 #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))) x) #s(literal -1 binary64))
(/.f64 (pow.f64 #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))) x)))
(/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))) x))
(neg.f64 (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal 3 binary64))))) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ ( 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ ( 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))) x)) #s(literal -1 binary64)))
(.f64 #s(approx (/ 1 (+ ( 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ ( 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
#s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))
(/.f64 (neg.f64 #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x)))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64)))))
(.f64 (neg.f64 (fma.f64 #s(literal -1/125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) #s(literal -3/5 binary64)))))))
(.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (pow.f64 (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1/125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (-.f64 (.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (.f64 x x) #s(literal -3/5 binary64))))))
(.f64 (fma.f64 #s(literal -1/125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (pow.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) #s(literal -3/5 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal 3 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64))) (/.f64 (.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64)))) (.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64))))) (+.f64 (/.f64 (.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64))) (/.f64 (.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -3 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 3 binary64) (.f64 #s(literal -1/5 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -3/5 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64))) (.f64 (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64)) #s(literal 9 binary64))) (.f64 (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64)) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64))))
(/.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 3 binary64) (.f64 #s(literal -1/5 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (neg.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -3 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (neg.f64 (+.f64 #s(literal 9 binary64) (-.f64 (.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -3/5 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (neg.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -3/5 binary64))))))
(/.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -3 binary64)))
(/.f64 (fma.f64 #s(literal -1/125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (+.f64 #s(literal 9 binary64) (-.f64 (.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -3/5 binary64)))))
(/.f64 (fma.f64 #s(literal -1/125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal -3/5 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x))) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (-.f64 (.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -3/5 binary64)))) (fma.f64 #s(literal -1/125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal -1/5 binary64) x) x #s(literal 3 binary64))
(fma.f64 (.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -3 binary64)))))
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64))
(fma.f64 x (*.f64 #s(literal -1/5 binary64) x) #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 3 binary64) (.f64 #s(literal -1/5 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -3 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/5 binary64) (.f64 x x) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal -3 binary64)))))
(+.f64 (.f64 #s(literal -1/5 binary64) (.f64 x x)) #s(literal 3 binary64))
(+.f64 #s(literal 3 binary64) (.f64 #s(literal -1/5 binary64) (.f64 x x)))
#s(approx (* (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x) (*.f64 #s(literal 9 binary64) x))
(*.f64 #s(literal 9 binary64) x)
(*.f64 x #s(literal 9 binary64))
(/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 x (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval73.0ms (0.5%)

Memory: -18.5MiB live, 106.1MiB allocated
Compiler: Compiled 14 949 to 1 067 computations (92.9% saved)

prune53.0ms (0.3%)

Memory

-13.4MiB live, 25.3MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	373	1	374
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	374	6	380

Accuracy

100.0%

Counts

380 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
✓	99.8%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 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))
✓	99.4%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
	99.1%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 #s(approx (+ ( (pow x 6) 1/91125) 1/27) #s(literal 1/27 binary64)) #s(approx (* (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x) (*.f64 #s(literal 9 binary64) x))))
✓	99.2%	#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

Compiler

Compiled 376 to 189 computations (49.7% saved)

regimes7.0ms (0%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

10 → 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 #s(approx (+ ( (pow x 6) 1/91125) 1/27) #s(literal 1/27 binary64)) #s(approx (* (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x) (*.f64 #s(literal 9 binary64) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))))
#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 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 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 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))))
#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)) #s(approx ( (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x) (*.f64 #s(literal 9 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) (.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/135 binary64) (.f64 x x)))) #s(literal -1 binary64)) x)))

Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes4.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory

4.5MiB live, 4.5MiB allocated

Accuracy

Total -0.2b remaining (-31.1%)

Threshold costs -0.2b (-31.1%)

Counts

2 → 1

Calls

Call 1

Inputs

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

#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(approx (+ (* (pow x 6) 1/91125) 1/27) #s(literal 1/27 binary64)) #s(approx (* (pow (+ (* (pow x 4) 1/2025) (- 1/9 (* 1/135 (* x x)))) -1) x) (*.f64 #s(literal 9 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
99.2%	1	`x`
99.2%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify62.0ms (0.4%)

Memory

-11.0MiB live, 34.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	61
1	28	61

Stop Event

1×

saturated

Calls

Call 1

Inputs

#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))

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

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

Outputs

#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))

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

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

soundness1.0s (6.2%)

Memory

-4.5MiB live, 229.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	324
1	179	324
2	458	318
3	1332	318
4	2094	318
5	3093	318
6	3681	318
7	3948	318
8	5088	318
9	7270	318
0	8431	300
0	19	101
0	29	101
1	123	101
2	933	101
0	8743	101
0	135	938
1	350	937
2	922	936
3	2249	936
4	5204	936
0	8555	876

Stop Event

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

Compiler

Compiled 126 to 74 computations (41.3% saved)

preprocess88.0ms (0.5%)

Memory: 13.7MiB live, 94.0MiB allocated
Remove: (negabs x)
Compiler: Compiled 240 to 134 computations (44.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	21
1	21	19
2	54	16
3	131	16
4	204	16
5	228	16
6	230	16
0	6	8
0	10	8
1	14	8
2	22	8
3	31	8
4	43	8
5	63	8
6	102	8
7	134	8
8	192	8
9	225	8
10	247	8
0	247	8

Iter	Nodes	Cost
0	6	19
0	10	19
1	14	19
2	22	19
3	31	19
4	43	19
5	63	19
6	102	19
7	134	19
8	192	19
9	225	19
10	247	19
0	247	19

Iter	Nodes	Cost
0	8	21
1	21	19
2	54	16
3	131	16
4	204	16
5	228	16
6	230	16
0	6	8
0	10	8
1	14	8
2	22	8
3	31	8
4	43	8
5	63	8
6	102	8
7	134	8
8	192	8
9	225	8
10	247	8
0	247	8

Iter	Nodes	Cost
0	6	19
0	10	19
1	14	19
2	22	19
3	31	19
4	43	19
5	63	19
6	102	19
7	134	19
8	192	19
9	225	19
10	247	19
0	247	19

start0.0ms (0%)

analyze9.0ms (0.1%)

sample10.8s (66.1%)

explain484.0ms (3%)

preprocess20.0ms (0.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify16.0ms (0.1%)

localize355.0ms (2.2%)

series4.0ms (0%)

simplify289.0ms (1.8%)

rewrite118.0ms (0.7%)

eval37.0ms (0.2%)

prune5.0ms (0%)

simplify128.0ms (0.8%)

localize322.0ms (2%)

series7.0ms (0%)

simplify180.0ms (1.1%)

rewrite177.0ms (1.1%)

eval83.0ms (0.5%)

prune20.0ms (0.1%)

simplify188.0ms (1.2%)

localize486.0ms (3%)

series10.0ms (0.1%)

simplify168.0ms (1%)

rewrite163.0ms (1%)

eval116.0ms (0.7%)

prune33.0ms (0.2%)

simplify91.0ms (0.6%)

localize391.0ms (2.4%)

series12.0ms (0.1%)

simplify145.0ms (0.9%)

rewrite154.0ms (0.9%)

eval73.0ms (0.5%)

prune53.0ms (0.3%)

regimes7.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify62.0ms (0.4%)

soundness1.0s (6.2%)

preprocess88.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	21
1	21	19
2	54	16
3	131	16
4	204	16
5	228	16
6	230	16
0	6	8
0	10	8
1	14	8
2	22	8
3	31	8
4	43	8
5	63	8
6	102	8
7	134	8
8	192	8
9	225	8
10	247	8
0	247	8

Iter	Nodes	Cost
0	6	19
0	10	19
1	14	19
2	22	19
3	31	19
4	43	19
5	63	19
6	102	19
7	134	19
8	192	19
9	225	19
10	247	19
0	247	19