Metrics for ENA, Section 1.4, Exercise 4a

analyze2.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample3.6s (28.8%)

Memory

38.3MiB live, 4 536.1MiB allocated

Samples

2.7s	5 631×	2	valid
353.0ms	2 469×	1	valid
10.0ms	156×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.7s

ival-sin: 1.9s (72.3% of total)

adjust: 244.0ms (9.2% of total)

ival-div: 183.0ms (6.9% of total)

ival-sub: 167.0ms (6.3% of total)

ival-tan: 72.0ms (2.7% of total)

ival-<=: 44.0ms (1.7% of total)

ival-and: 11.0ms (0.4% of total)

exact: 10.0ms (0.4% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

preprocess48.0ms (0.4%)

Memory

-2.9MiB live, 74.1MiB allocated

Algorithm

1×	egg-herbie

Rules

272×	`lower-fma.f64`
272×	`lower-fma.f32`
176×	`lower-*.f64`
176×	`lower-*.f32`
140×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	26	17
2	76	14
3	229	14
4	572	14
5	784	14
6	817	14
7	855	14
8	884	14
0	5	7
0	9	7
1	14	7
2	21	7
3	33	7
4	58	7
5	88	7
6	144	7
7	234	7
8	414	7
9	673	7
10	680	7
11	718	7
12	747	7
0	747	7

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Symmetry

(abs x)

explain550.0ms (4.4%)

Memory

-0.7MiB live, 403.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
90	0	-	0	-	`(-.f64 x (sin.f64 x))`
47	2	(7.799148287411585e-162)	3	(2.3454777243537514e-104)	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`
0	0	-	0	-	`(tan.f64 x)`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 x (sin.f64 x))`	cancellation	90	0
`/.f64`	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`	u/n	46	0
↳	`(-.f64 x (sin.f64 x))`	underflow	166

Confusion

	Predicted +	Predicted -
+	134	0
-	2	120

Precision

0.9852941176470589

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	134	0	0
-	2	0	120

Precision?

0.9852941176470589

Recall?

1.0

Freqs

test

number	freq
0	120
1	136

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

288.0ms	346×	2	valid
18.0ms	162×	1	valid
0.0ms	4×	0	valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 286.0ms

ival-sin: 182.0ms (63.7% of total)

ival-sub: 80.0ms (28% of total)

adjust: 12.0ms (4.2% of total)

ival-div: 8.0ms (2.8% of total)

ival-tan: 4.0ms (1.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.7%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify63.0ms (0.5%)

Memory

-11.9MiB live, 26.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(tan.f64 x)
✓	cost-diff	(sin.f64 x)
✓	cost-diff	(-.f64 x (sin.f64 x))
✓	cost-diff	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Rules

272×	`lower-fma.f64`
272×	`lower-fma.f32`
176×	`lower-*.f64`
176×	`lower-*.f32`
140×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	9	16
1	14	16
2	21	16
3	33	16
4	58	16
5	88	16
6	144	16
7	234	16
8	414	16
9	673	16
10	680	16
11	718	16
12	747	16
0	747	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 x)

Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 x)

localize105.0ms (0.8%)

Memory

25.4MiB live, 140.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	85.3%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
✓	accuracy	67.9%	(-.f64 x (sin.f64 x))

Samples

67.0ms	173×	2	valid
29.0ms	81×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-sin: 49.0ms (56.7% of total)

ival-div: 25.0ms (28.9% of total)

adjust: 6.0ms (6.9% of total)

ival-sub: 4.0ms (4.6% of total)

ival-tan: 1.0ms (1.2% of total)

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

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

series7.0ms (0.1%)

Memory

-27.4MiB live, 9.8MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))>
#<alt (-.f64 x (sin.f64 x))>
#<alt (sin.f64 x)>
#<alt (tan.f64 x)>

Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (/ (* x (cos x)) (sin x))>
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))>
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))>
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))>
#<alt (/ (* x (cos x)) (sin x))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (sin x) x))))>
#<alt (* x (+ 1 (* -1 (/ (sin x) x))))>
#<alt (* x (+ 1 (* -1 (/ (sin x) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (sin x) x) 1)))>
#<alt (* -1 (* x (- (/ (sin x) x) 1)))>
#<alt (* -1 (* x (- (/ (sin x) x) 1)))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(/ (- x (sin x)) (tan x))
1.0ms	x	@	-inf	(/ (- x (sin x)) (tan x))
1.0ms	x	@	0	(/ (- x (sin x)) (tan x))
0.0ms	x	@	inf	(tan x)
0.0ms	x	@	-inf	(tan x)

rewrite368.0ms (3%)

Memory

22.6MiB live, 617.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 862×	`lower-*.f64`
5 862×	`lower-*.f32`
3 904×	`lower-/.f32`
3 902×	`lower-/.f64`
2 230×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	9	15
1	37	15
2	267	15
3	3099	15
0	9023	15

Stop Event

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

Counts

4 → 481

Calls

Call 1

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
(sin.f64 x)
(tan.f64 x)

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

simplify420.0ms (3.4%)

Memory

1.5MiB live, 639.8MiB allocated

Algorithm

1×	egg-herbie

Rules

18 358×	`lower-fma.f64`
18 358×	`lower-fma.f32`
5 180×	`lower-*.f64`
5 180×	`lower-*.f32`
3 422×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	408
1	301	384
2	829	384
3	2520	348
4	5523	342
0	8535	318

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 44

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
x
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (/ (sin x) x) 1)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin 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))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))

Outputs
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))
(/ (* x (cos x)) (sin x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(/ (* x (cos x)) (sin x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(.f64 x (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(-.f64 x (sin.f64 x))
(* x (+ 1 (* -1 (/ (sin x) x))))
(-.f64 x (sin.f64 x))
(* x (+ 1 (* -1 (/ (sin x) x))))
(-.f64 x (sin.f64 x))
x
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (sin.f64 x))
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (sin.f64 x))
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (sin.f64 x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 17/315 binary64)) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x)
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))

eval112.0ms (0.9%)

Memory: -1.5MiB live, 106.4MiB allocated
Compiler: Compiled 12 233 to 1 550 computations (87.3% saved)

prune60.0ms (0.5%)

Memory

15.5MiB live, 138.4MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	521	4	525
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	522	4	526

Accuracy

99.9%

Counts

526 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.3%	(/.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) (tan.f64 x))
▶	85.0%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) (tan.f64 x))
▶	99.7%	(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
▶	99.5%	(.f64 #s(literal 1/6 binary64) (.f64 x x))

Compiler

Compiled 44 to 28 computations (36.4% saved)

simplify22.0ms (0.2%)

Memory

-4.9MiB live, 31.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
✓	cost-diff	(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
✓	cost-diff	(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))
✓	cost-diff	(/.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) (tan.f64 x))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	cost-diff	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) (tan.f64 x))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
✓	cost-diff	(.f64 x (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
✓	cost-diff	(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 #s(literal 1/6 binary64) (.f64 x x))

Rules

448×	`lower-*.f32`
428×	`lower-*.f64`
288×	`lower-fma.f32`
284×	`lower-fma.f64`
234×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	128
0	36	122
1	73	118
2	164	118
3	258	118
4	324	118
5	399	118
6	495	118
7	516	118
8	538	118
0	538	118

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 #s(literal 1/6 binary64) (.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
x
(.f64 x (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(*.f64 x x)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) (tan.f64 x))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
#s(literal 1/6 binary64)
(.f64 x (.f64 x x))
x
(*.f64 x x)
(tan.f64 x)
(/.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) (tan.f64 x))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))
x
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal -1/120 binary64))
#s(literal -1/120 binary64)
#s(literal 1/6 binary64)
(tan.f64 x)

Outputs
(.f64 #s(literal 1/6 binary64) (.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
x
(.f64 x (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(*.f64 x x)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) (tan.f64 x))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
#s(literal 1/6 binary64)
(.f64 x (.f64 x x))
x
(*.f64 x x)
(tan.f64 x)
(/.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) (tan.f64 x))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))
x
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal -1/120 binary64))
#s(literal -1/120 binary64)
#s(literal 1/6 binary64)
(tan.f64 x)

localize79.0ms (0.6%)

Memory

9.8MiB live, 166.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))
✓	accuracy	99.8%	(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
✓	accuracy	99.5%	(.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
✓	accuracy	85.3%	(/.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) (tan.f64 x))
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	85.3%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) (tan.f64 x))
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
✓	accuracy	99.5%	(.f64 x (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))

Samples

52.0ms

256×

valid

Compiler

Compiled 138 to 23 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 19.0ms (50% of total)

const: 9.0ms (23.7% of total)

ival-div: 6.0ms (15.8% of total)

ival-tan: 2.0ms (5.3% of total)

ival-add: 2.0ms (5.3% of total)

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

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

series25.0ms (0.2%)

Memory

-39.4MiB live, 24.2MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (.f64 #s(literal 1/6 binary64) (.f64 x x))>
#<alt (*.f64 x x)>
#<alt (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))>
#<alt (.f64 x (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))>
#<alt (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) (tan.f64 x))>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))>
#<alt (.f64 x (.f64 x x))>
#<alt (/.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) (tan.f64 x))>
#<alt (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))>
#<alt (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))>
#<alt (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))>
#<alt (tan.f64 x)>

Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt 1/6>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/270 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -1/2835 (pow x 2)) 1/270)) 1/18))))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/1080 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -19/113400 (pow x 2)) 1/1080)) 23/360))))>
#<alt (* -1/120 (/ (* (pow x 5) (cos x)) (sin x)))>
#<alt (* (pow x 5) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))>
#<alt (* (pow x 5) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))>
#<alt (* (pow x 5) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))>
#<alt (* -1/120 (/ (* (pow x 5) (cos x)) (sin x)))>
#<alt (* -1 (* (pow x 5) (+ (* -1/6 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/120 (/ (cos x) (sin x))))))>
#<alt (* -1 (* (pow x 5) (+ (* -1/6 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/120 (/ (cos x) (sin x))))))>
#<alt (* -1 (* (pow x 5) (+ (* -1/6 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/120 (/ (cos x) (sin x))))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* -1/120 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* -1/120 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* -1/120 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* -1/120 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* -1/120 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))>
#<alt (* -1/120 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>

Calls

39 calls:

Time	Variable		Point	Expression
13.0ms	x	@	inf	(* x (* x x))
1.0ms	x	@	-inf	(* 1/6 (* x (* x x)))
1.0ms	x	@	inf	(/ (* 1/6 (* x (* x x))) (tan x))
1.0ms	x	@	0	(* 1/6 (* x x))
1.0ms	x	@	-inf	(/ (* x (* x (* x (+ (* x (* x -1/120)) 1/6)))) (tan x))

rewrite685.0ms (5.5%)

Memory

40.5MiB live, 502.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 098×	`lower-fma.f32`
6 094×	`lower-fma.f64`
5 548×	`lower-*.f32`
5 528×	`lower-*.f64`
2 554×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	101
0	36	95
1	115	91
2	665	91
3	5351	91
0	8247	91

Stop Event

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

Counts

13 → 621

Calls

Call 1

Inputs
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(*.f64 x x)
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) (tan.f64 x))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(/.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) (tan.f64 x))
(.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(tan.f64 x)

Outputs
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -23/360 binary64)))))
(+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -23/360 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -23/360 binary64)))))
(fma.f64 x (.f64 #s(literal 1/6 binary64) x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -23/360 binary64)))))
(fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -23/360 binary64))) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -23/360 binary64)))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 #s(literal -23/360 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -23/360 binary64)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x x) #s(literal -23/360 binary64)) (.f64 x x) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (.f64 #s(literal 1/6 binary64) x) x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -23/360 binary64)))))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal -23/360 binary64))) x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x (.f64 x x)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -23/360 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64)) (.f64 x (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) (.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))))))
(/.f64 (.f64 x (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)))) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64)))
(/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(/.f64 (neg.f64 (.f64 x (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64))))) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64))))
(/.f64 (neg.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))))) (fma.f64 (.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -12167/46656000 binary64))))) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -23/360 binary64))))))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -12167/46656000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64))) (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -23/360 binary64)))) (.f64 #s(literal 1/6 binary64) (.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64))) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -23/360 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (-.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -23/360 binary64)))) (.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(/.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -12167/46656000 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)))) (fma.f64 (.f64 #s(literal 1/6 binary64) x) (-.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 x (.f64 (.f64 x x) #s(literal -23/360 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 529/129600 binary64))))
(/.f64 (.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))) (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
(/.f64 (.f64 (.f64 x x) (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64))))
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(/.f64 (.f64 x (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/14400 binary64)))))) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728000 binary64)) #s(literal 1/216 binary64))) x) (neg.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)) #s(literal 1/36 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/14400 binary64))))) x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/14400 binary64)))) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/720 binary64))))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/1728000 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)) #s(literal 1/36 binary64)) (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64)) #s(literal 1/216 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64)) (.f64 x (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)))) #s(literal -1 binary64))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)) x)
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728000 binary64)) #s(literal 1/216 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)) #s(literal 1/36 binary64))) x))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728000 binary64)) #s(literal 1/216 binary64)) (/.f64 x (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)) #s(literal 1/36 binary64))))
(.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) x))
(.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/1728000 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/14400 binary64)))) (.f64 (.f64 x x) #s(literal 1/36 binary64))) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal -1/720 binary64)))))))
(.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))))
(.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728000 binary64)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)) #s(literal 1/36 binary64))))
(.f64 (.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728000 binary64)) #s(literal 1/216 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64)) (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1/2985984000000 binary64))))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/14400 binary64))))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1/207360000 binary64))))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728000 binary64)) #s(literal 1/216 binary64))) (.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)) #s(literal 1/36 binary64)) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (.f64 x (.f64 x #s(literal -1/720 binary64)))))) (+.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (.f64 x (*.f64 x #s(literal -1/720 binary64)))))
(.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(.f64 (/.f64 (.f64 x (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) (fma.f64 x (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal -1/216 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/14400 binary64))) (fma.f64 x (.f64 x #s(literal -1/720 binary64)) #s(literal 1/36 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 x)))
(tan.f64 x)
(neg.f64 (neg.f64 (tan.f64 x)))
(/.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 x) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (tan.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (cos.f64 x))
(/.f64 (neg.f64 (neg.f64 (sin.f64 x))) (neg.f64 (neg.f64 (cos.f64 x))))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

simplify352.0ms (2.8%)

Memory

17.9MiB live, 757.3MiB allocated

Algorithm

1×	egg-herbie

Rules

14 896×	`lower-fma.f64`
14 896×	`lower-fma.f32`
5 522×	`lower-*.f64`
5 522×	`lower-*.f32`
1 924×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	1242
1	350	1236
2	959	1200
3	3118	1200
4	7177	1200
0	8188	1146

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 155

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* -23/360 (pow x 2)))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/270 (pow x 2)) 1/18))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -1/2835 (pow x 2)) 1/270)) 1/18))))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/1080 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -19/113400 (pow x 2)) 1/1080)) 23/360))))
(* -1/120 (/ (* (pow x 5) (cos x)) (sin x)))
(* (pow x 5) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))
(* (pow x 5) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))
(* (pow x 5) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))
(* -1/120 (/ (* (pow x 5) (cos x)) (sin x)))
(* -1 (* (pow x 5) (+ (* -1/6 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/120 (/ (cos x) (sin x))))))
(* -1 (* (pow x 5) (+ (* -1/6 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/120 (/ (cos x) (sin x))))))
(* -1 (* (pow x 5) (+ (* -1/6 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/120 (/ (cos x) (sin x))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* -1/120 (pow x 5))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* -1/120 (pow x 5))
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))
(* -1/120 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* -1/120 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* 1/6 x)
(* x (+ 1/6 (* -1/120 (pow x 2))))
(* x (+ 1/6 (* -1/120 (pow x 2))))
(* x (+ 1/6 (* -1/120 (pow x 2))))
(* -1/120 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(* -1/120 (pow x 3))
(* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
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))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))

Outputs
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* -23/360 (pow x 4))
(.f64 x (.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* -23/360 (pow x 4))
(.f64 x (.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -23/360 (pow x 3))
(.f64 #s(literal -23/360 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -23/360 (pow x 3))
(.f64 #s(literal -23/360 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* -23/360 (pow x 2))
(.f64 x (.f64 x #s(literal -23/360 binary64)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* -23/360 (pow x 2))
(.f64 x (.f64 x #s(literal -23/360 binary64)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/18 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/18 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/270 (pow x 2)) 1/18))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/270 binary64) #s(literal -1/18 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -1/2835 (pow x 2)) 1/270)) 1/18))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/2835 binary64)) #s(literal -1/270 binary64)) #s(literal -1/18 binary64)) #s(literal 1/6 binary64))))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(.f64 (.f64 x x) (/.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (cos.f64 x))) (sin.f64 x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(.f64 (.f64 x x) (/.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (cos.f64 x))) (sin.f64 x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(.f64 (.f64 x x) (/.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (cos.f64 x))) (sin.f64 x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(.f64 (.f64 x x) (/.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (cos.f64 x))) (sin.f64 x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(.f64 (.f64 x x) (/.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (cos.f64 x))) (sin.f64 x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(.f64 (.f64 x x) (/.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (cos.f64 x))) (sin.f64 x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(.f64 (.f64 x x) (/.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (cos.f64 x))) (sin.f64 x)))
(* 1/6 (/ (* (pow x 3) (cos x)) (sin x)))
(.f64 (.f64 x x) (/.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (cos.f64 x))) (sin.f64 x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/1080 (pow x 2)) 23/360))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/1080 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -19/113400 (pow x 2)) 1/1080)) 23/360))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -19/113400 binary64)) #s(literal -1/1080 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -1/120 (/ (* (pow x 5) (cos x)) (sin x)))
(/.f64 (.f64 (cos.f64 x) (.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (sin.f64 x))
(* (pow x 5) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64))))
(* (pow x 5) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64))))
(* (pow x 5) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 2) (sin x))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64))))
(* -1/120 (/ (* (pow x 5) (cos x)) (sin x)))
(/.f64 (.f64 (cos.f64 x) (.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (sin.f64 x))
(* -1 (* (pow x 5) (+ (* -1/6 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/120 (/ (cos x) (sin x))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64))))
(* -1 (* (pow x 5) (+ (* -1/6 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/120 (/ (cos x) (sin x))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64))))
(* -1 (* (pow x 5) (+ (* -1/6 (/ (cos x) (* (pow x 2) (sin x)))) (* 1/120 (/ (cos x) (sin x))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 (cos.f64 x) (sin.f64 x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/120 binary64))))
(* 1/6 (pow x 3))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 x (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))))
(* -1/120 (pow x 5))
(.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)))
(* -1/120 (pow x 5))
(.f64 #s(literal -1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)))
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)))
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64))))
(* -1/120 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/120 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(* -1/120 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -1/120 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/120 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/120 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -1/120 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -1/120 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))
(* -1/120 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/120 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))
(* -1/120 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal -1/120 binary64))
(* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 17/315 binary64)) #s(literal 2/15 binary64))) #s(literal 1/3 binary64)) x)
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))

eval327.0ms (2.6%)

Memory: -25.4MiB live, 266.8MiB allocated
Compiler: Compiled 18 002 to 1 996 computations (88.9% saved)

prune84.0ms (0.7%)

Memory

5.7MiB live, 243.5MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	847	5	852
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	849	7	856

Accuracy

100.0%

Counts

856 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
▶	99.8%	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
▶	26.1%	(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
▶	99.5%	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
▶	99.8%	(.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
✓	99.7%	(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
✓	99.5%	(.f64 #s(literal 1/6 binary64) (.f64 x x))

Compiler

Compiled 157 to 97 computations (38.2% saved)

simplify800.0ms (6.5%)

Memory

0.7MiB live, 641.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
✓	cost-diff	0	(.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) x)
✓	cost-diff	0	(/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
✓	cost-diff	1152	(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	1088	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
✓	cost-diff	0	(*.f64 #s(literal 1/6 binary64) x)
✓	cost-diff	0	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
✓	cost-diff	0	(.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
✓	cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))

Rules

23 832×	`lower-fma.f32`
23 826×	`lower-fma.f64`
8 026×	`lower-*.f32`
8 004×	`lower-*.f64`
2 830×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	210
0	50	199
1	97	181
2	194	181
3	349	181
4	567	181
5	955	181
6	1193	181
7	2403	181
8	2926	181
9	3592	181
10	4671	181
11	5143	181
12	5528	181
13	6462	181
14	6629	181
15	6799	181
0	8249	177

Stop Event

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

Calls

Call 1

Inputs
(.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
x
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(*.f64 x x)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
#s(literal -23/360 binary64)
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) x)
(.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
x
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 529/129600 binary64))
#s(literal 529/129600 binary64)
#s(literal -1/36 binary64)
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))
(*.f64 x #s(literal -23/360 binary64))
#s(literal -23/360 binary64)
#s(literal -1/6 binary64)

Outputs
(.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
x
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(*.f64 x x)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
#s(literal -23/360 binary64)
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(/.f64 (.f64 x (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)))
(.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) x)
(.f64 x (.f64 x (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))))
(.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))
x
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 529/129600 binary64))
#s(literal 529/129600 binary64)
#s(literal -1/36 binary64)
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))
(*.f64 x #s(literal -23/360 binary64))
#s(literal -23/360 binary64)
#s(literal -1/6 binary64)

localize276.0ms (2.2%)

Memory

-38.6MiB live, 145.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 529/129600 binary64))
✓	accuracy	99.6%	(/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
✓	accuracy	99.5%	(.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
✓	accuracy	99.2%	(*.f64 x #s(literal -23/360 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.7%	(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
✓	accuracy	27.0%	(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
✓	accuracy	99.8%	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
✓	accuracy	99.5%	(*.f64 #s(literal 1/6 binary64) x)
✓	accuracy	100.0%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
✓	accuracy	99.8%	(.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))

Samples

112.0ms

256×

valid

Compiler

Compiled 225 to 32 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 20.0ms (43.1% of total)

const: 14.0ms (30.2% of total)

ival-div: 8.0ms (17.2% of total)

ival-add: 4.0ms (8.6% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))>
#<alt (.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))>
#<alt (.f64 (.f64 #s(literal 1/6 binary64) x) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))>
#<alt (*.f64 x x)>
#<alt (.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))>
#<alt (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))>
#<alt (/.f64 #s(literal 1/6 binary64) (*.f64 x x))>
#<alt (/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))>
#<alt (.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) x)>
#<alt (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))>
#<alt (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))>
#<alt (.f64 x (.f64 x x))>
#<alt (.f64 x (.f64 x (*.f64 x x)))>
#<alt (*.f64 x #s(literal -23/360 binary64))>
#<alt (.f64 (.f64 x x) #s(literal 529/129600 binary64))>

Outputs
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt 6>
#<alt (+ 6 (* 23/10 (pow x 2)))>
#<alt (+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))>
#<alt (+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))>
#<alt (/ -360/23 (pow x 2))>
#<alt (* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -360/23 (pow x 2))>
#<alt (* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))>
#<alt 1/6>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))>
#<alt -23/360>
#<alt (- (* 1/6 (/ 1 (pow x 2))) 23/360)>
#<alt (- (* 1/6 (/ 1 (pow x 2))) 23/360)>
#<alt (- (* 1/6 (/ 1 (pow x 2))) 23/360)>
#<alt -23/360>
#<alt (- (* 1/6 (/ 1 (pow x 2))) 23/360)>
#<alt (- (* 1/6 (/ 1 (pow x 2))) 23/360)>
#<alt (- (* 1/6 (/ 1 (pow x 2))) 23/360)>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (/ 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))>
#<alt (* -1/36 (pow x 2))>
#<alt (* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))>
#<alt (* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))>
#<alt (* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))>
#<alt (* 529/129600 (pow x 6))>
#<alt (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* 529/129600 (pow x 6))>
#<alt (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* -1/36 x)>
#<alt (* x (- (* 529/129600 (pow x 4)) 1/36))>
#<alt (* x (- (* 529/129600 (pow x 4)) 1/36))>
#<alt (* x (- (* 529/129600 (pow x 4)) 1/36))>
#<alt (* 529/129600 (pow x 5))>
#<alt (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* 529/129600 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))>
#<alt (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))>
#<alt (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))>
#<alt -1/36>
#<alt (- (* 529/129600 (pow x 4)) 1/36)>
#<alt (- (* 529/129600 (pow x 4)) 1/36)>
#<alt (- (* 529/129600 (pow x 4)) 1/36)>
#<alt (* 529/129600 (pow x 4))>
#<alt (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* 529/129600 (pow x 4))>
#<alt (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* 529/129600 (pow x 2))>
#<alt (* 529/129600 (pow x 2))>
#<alt (* 529/129600 (pow x 2))>
#<alt (* 529/129600 (pow x 2))>
#<alt (* 529/129600 (pow x 2))>
#<alt (* 529/129600 (pow x 2))>
#<alt (* 529/129600 (pow x 2))>
#<alt (* 529/129600 (pow x 2))>
#<alt (* 529/129600 (pow x 2))>
#<alt (* 529/129600 (pow x 2))>
#<alt (* 529/129600 (pow x 2))>
#<alt (* 529/129600 (pow x 2))>

Calls

57 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (* (* x (+ (* (* x x) (* (* x x) 529/129600)) -1/36)) x) (+ (* x (* x -23/360)) -1/6))
1.0ms	x	@	0	(/ (* (* x (+ (* (* x x) (* (* x x) 529/129600)) -1/36)) x) (+ (* x (* x -23/360)) -1/6))
0.0ms	x	@	inf	(* (* x (+ (* (* x x) (* (* x x) 529/129600)) -1/36)) x)
0.0ms	x	@	0	(* (+ -23/360 (/ 1/6 (* x x))) (* x (* x (* x x))))
0.0ms	x	@	-inf	(* x -23/360)

rewrite992.0ms (8%)

Memory

27.4MiB live, 611.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 490×	`lower-fma.f32`
10 484×	`lower-fma.f64`
6 170×	`lower-*.f32`
6 148×	`lower-*.f64`
3 440×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	163
0	50	145
1	191	127
2	1157	127
0	9162	122

Stop Event

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

Counts

19 → 1 115

Calls

Call 1

Inputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(*.f64 x x)
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) x)
(.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
(fma.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(.f64 x (.f64 x x))
(.f64 x (.f64 x (*.f64 x x)))
(*.f64 x #s(literal -23/360 binary64))
(.f64 (.f64 x x) #s(literal 529/129600 binary64))

Outputs
(+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(+.f64 (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64)))) (.f64 x #s(literal 1/6 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64))))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64))))) (.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/6 binary64))))
(+.f64 (.f64 (neg.f64 x) #s(literal -1/6 binary64)) (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal 23/360 binary64))))
(+.f64 (.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal 23/360 binary64))) (.f64 (neg.f64 x) #s(literal -1/6 binary64)))
(+.f64 (.f64 #s(literal -1/6 binary64) (neg.f64 x)) (.f64 (.f64 (.f64 x x) #s(literal 23/360 binary64)) (neg.f64 x)))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 23/360 binary64)) (neg.f64 x)) (.f64 #s(literal -1/6 binary64) (neg.f64 x)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 x (fma.f64 (.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64)))) (.f64 x (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))))
(fma.f64 x #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x #s(literal -23/360 binary64)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64))) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 x (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -23/360 binary64)))) (.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/6 binary64)) (.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal -23/360 binary64))))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64)))) (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -23/360 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (.f64 x (.f64 x (*.f64 x #s(literal -23/360 binary64)))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64)))))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -23/360 binary64) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 x #s(literal -23/360 binary64)) (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal -1/6 binary64) (neg.f64 x) (.f64 (.f64 (*.f64 x x) #s(literal 23/360 binary64)) (neg.f64 x)))
(fma.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) x (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1/6 binary64) (.f64 (neg.f64 x) (.f64 (*.f64 x x) #s(literal 23/360 binary64))))
(fma.f64 (neg.f64 x) (.f64 (.f64 x x) #s(literal 23/360 binary64)) (*.f64 (neg.f64 x) #s(literal -1/6 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 23/360 binary64)) (neg.f64 x) (*.f64 #s(literal -1/6 binary64) (neg.f64 x)))
(fma.f64 (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64)))) #s(literal 1 binary64) (.f64 x #s(literal 1/6 binary64)))
(neg.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))))
(neg.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 x #s(literal 23/2160 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 529/129600 binary64)))) (.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64))) #s(literal 1/216 binary64)))))
(/.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) x))
(/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64))) #s(literal 1/216 binary64))) (+.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 x #s(literal 23/2160 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 529/129600 binary64)))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64) #s(literal 1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64))) #s(literal 1/216 binary64)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64) (neg.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (*.f64 x x) #s(literal 23/2160 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64)) (-.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 529/129600 binary64)))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (*.f64 x #s(literal -23/360 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 529/129600 binary64))) (-.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64)))) (*.f64 x #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 529/129600 binary64))))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (*.f64 x #s(literal -23/360 binary64))))))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 529/129600 binary64)))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64)))) (*.f64 x #s(literal 1/6 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) #s(literal -1 binary64))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) x)
(.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))))
(.f64 (neg.f64 x) (fma.f64 (.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64)))
(.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64))) #s(literal 1/216 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (fma.f64 x (.f64 x #s(literal 23/2160 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 529/129600 binary64))))) x))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 148035889/2176782336000000 binary64))) #s(literal -1/46656 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal 1/1296 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 529/4665600 binary64)))) (/.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal -1/1296 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64))) #s(literal 1/36 binary64))) (/.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))) x))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64))) (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 279841/16796160000 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 148035889/2176782336000000 binary64))) #s(literal -1/46656 binary64)) (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal 1/1296 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 529/4665600 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 148035889/2176782336000000 binary64))) #s(literal -1/46656 binary64)) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64)) #s(literal -529/4665600 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal -1/1296 binary64)) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64))) #s(literal 1/36 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 148035889/2176782336000000 binary64))) #s(literal -1/46656 binary64))) (neg.f64 (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal 1/1296 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 529/4665600 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 148035889/2176782336000000 binary64))) #s(literal -1/46656 binary64))) (neg.f64 (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64)) #s(literal -529/4665600 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal -1/1296 binary64))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64) #s(literal -1/36 binary64)))
(/.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 279841/16796160000 binary64))))) (+.f64 #s(literal -1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 279841/16796160000 binary64)))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64))) #s(literal 1/36 binary64))) (.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64))) #s(literal 1/36 binary64)) #s(literal 1/1296 binary64))) (.f64 (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64))) #s(literal 1/36 binary64)) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal 1/36 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 148035889/2176782336000000 binary64))) #s(literal -1/46656 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal 1/1296 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 529/4665600 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal -1/1296 binary64)))) (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64) #s(literal -1/36 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 279841/16796160000 binary64)))))) (neg.f64 (+.f64 #s(literal -1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -529/129600 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 279841/16796160000 binary64)))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64))) #s(literal 1/36 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/1296 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64))) #s(literal 1/36 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 279841/16796160000 binary64)))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64))) #s(literal 1/36 binary64))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 279841/16796160000 binary64)))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64))) #s(literal 1/36 binary64))) (fma.f64 (/.f64 #s(literal 1/1296 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64))) #s(literal 1/36 binary64))) (/.f64 #s(literal 1/1296 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64))) #s(literal 1/36 binary64))) (.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 279841/16796160000 binary64)))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64))) #s(literal 1/36 binary64))) (/.f64 #s(literal 1/1296 binary64) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal 1/36 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 279841/16796160000 binary64)))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64))) #s(literal 1/36 binary64))) (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 279841/16796160000 binary64)))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64))) #s(literal 1/36 binary64)))) (.f64 (/.f64 #s(literal 1/1296 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64))) #s(literal 1/36 binary64))) (/.f64 #s(literal 1/1296 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64))) #s(literal 1/36 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 279841/16796160000 binary64)))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64))) #s(literal 1/36 binary64))) (/.f64 #s(literal 1/1296 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64))) #s(literal 1/36 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 148035889/2176782336000000 binary64))) #s(literal -1/46656 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal 1/1296 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 529/4665600 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 148035889/2176782336000000 binary64))) #s(literal -1/46656 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 279841/16796160000 binary64)) #s(literal -529/4665600 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal -1/1296 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal 1/36 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 148035889/2176782336000000 binary64))) #s(literal -1/46656 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal 1/1296 binary64)) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 529/4665600 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal -1/1296 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -529/129600 binary64) #s(literal -1/36 binary64))))
(.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 279841/16796160000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/36 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -529/129600 binary64)))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (neg.f64 x)) #s(literal 2 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 (neg.f64 x) (*.f64 x (neg.f64 x))))
(.f64 x (.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (.f64 x x)))))
(.f64 (neg.f64 x) (.f64 x (*.f64 x (neg.f64 x))))
(.f64 (.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))
(.f64 (.f64 x (*.f64 x (neg.f64 x))) (neg.f64 x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(.f64 (.f64 (*.f64 x (neg.f64 x)) (neg.f64 x)) x)
(.f64 (.f64 x (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 x #s(literal -23/360 binary64))
(*.f64 #s(literal -23/360 binary64) x)
(.f64 (.f64 x #s(literal -23/360 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x #s(literal 529/129600 binary64)) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (*.f64 x #s(literal -23/360 binary64)) #s(literal 2 binary64))
(.f64 x (.f64 x #s(literal 529/129600 binary64)))
(.f64 x (.f64 #s(literal -23/360 binary64) (*.f64 x #s(literal -23/360 binary64))))
(.f64 x (.f64 (*.f64 x #s(literal -23/360 binary64)) #s(literal -23/360 binary64)))
(.f64 x (.f64 #s(literal 1 binary64) (*.f64 x #s(literal 529/129600 binary64))))
(.f64 (.f64 x x) #s(literal 529/129600 binary64))
(.f64 #s(literal -23/360 binary64) (.f64 x (*.f64 x #s(literal -23/360 binary64))))
(.f64 #s(literal 529/129600 binary64) (.f64 x x))
(.f64 (.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal -23/360 binary64)) (*.f64 x #s(literal -23/360 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal -23/360 binary64))
(.f64 (.f64 x #s(literal 529/129600 binary64)) x)
(.f64 (.f64 #s(literal -23/360 binary64) (*.f64 x #s(literal -23/360 binary64))) x)
(.f64 (.f64 (*.f64 x #s(literal -23/360 binary64)) #s(literal -23/360 binary64)) x)

simplify345.0ms (2.8%)

Memory

-11.0MiB live, 276.4MiB allocated

Algorithm

1×	egg-herbie

Rules

5 330×	`lower-fma.f64`
5 330×	`lower-fma.f32`
3 686×	`lower-*.f64`
3 686×	`lower-*.f32`
1 828×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	1518
1	226	1518
2	580	1512
3	1447	1512
4	3632	1512
5	6043	1512
0	8431	1434

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))
(/ -360/23 (pow x 2))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(/ -360/23 (pow x 2))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* -23/360 (pow x 2)))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(/ 1/6 (pow x 2))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
-23/360
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
-23/360
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(/ 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(* 529/129600 (pow x 6))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* 529/129600 (pow x 6))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* -1/36 x)
(* x (- (* 529/129600 (pow x 4)) 1/36))
(* x (- (* 529/129600 (pow x 4)) 1/36))
(* x (- (* 529/129600 (pow x 4)) 1/36))
(* 529/129600 (pow x 5))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* 529/129600 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
-1/36
(- (* 529/129600 (pow x 4)) 1/36)
(- (* 529/129600 (pow x 4)) 1/36)
(- (* 529/129600 (pow x 4)) 1/36)
(* 529/129600 (pow x 4))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* 529/129600 (pow x 4))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))

Outputs
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -23/360 (pow x 3))
(.f64 #s(literal -23/360 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -23/360 (pow x 3))
(.f64 #s(literal -23/360 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* -23/360 (pow x 4))
(.f64 x (.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* -23/360 (pow x 4))
(.f64 x (.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
6
#s(literal 6 binary64)
(+ 6 (* 23/10 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 23/10 binary64)) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 529/600 binary64)) #s(literal 23/10 binary64))) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 12167/36000 binary64) #s(literal 529/600 binary64))) #s(literal 23/10 binary64))) #s(literal 6 binary64))
(/ -360/23 (pow x 2))
(/.f64 #s(literal -360/23 binary64) (*.f64 x x))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -360/23 binary64) (/.f64 #s(literal -21600/529 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/.f64 (+.f64 #s(literal -360/23 binary64) (/.f64 (+.f64 #s(literal -21600/529 binary64) (/.f64 #s(literal -1296000/12167 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1296000/12167 binary64) (/.f64 #s(literal 77760000/279841 binary64) (.f64 x x))) (.f64 x x)) #s(literal 21600/529 binary64)) #s(literal -360/23 binary64)) (.f64 x x))
(/ -360/23 (pow x 2))
(/.f64 #s(literal -360/23 binary64) (*.f64 x x))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -360/23 binary64) (/.f64 #s(literal -21600/529 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/.f64 (+.f64 #s(literal -360/23 binary64) (/.f64 (+.f64 #s(literal -21600/529 binary64) (/.f64 #s(literal -1296000/12167 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1296000/12167 binary64) (/.f64 #s(literal 77760000/279841 binary64) (.f64 x x))) (.f64 x x)) #s(literal 21600/529 binary64)) #s(literal -360/23 binary64)) (.f64 x x))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* -23/360 (pow x 2))
(.f64 x (.f64 x #s(literal -23/360 binary64)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* -23/360 (pow x 2))
(.f64 x (.f64 x #s(literal -23/360 binary64)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* -23/360 (pow x 4))
(.f64 x (.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* -23/360 (pow x 4))
(.f64 x (.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* -23/360 (pow x 4))
(.f64 x (.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* -23/360 (pow x 4))
(.f64 x (.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (.f64 x x))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (.f64 x x))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(/.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (.f64 x x))
-23/360
#s(literal -23/360 binary64)
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
-23/360
#s(literal -23/360 binary64)
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* -23/360 (pow x 4))
(.f64 x (.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* -23/360 (pow x 4))
(.f64 x (.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))))
(* (pow x 2) (- (* 529/129600 (pow x 4)) 1/36))
(.f64 x (.f64 x (fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))))
(* 529/129600 (pow x 6))
(.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) #s(literal 529/129600 binary64))))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 529/129600 (pow x 6))
(.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) #s(literal 529/129600 binary64))))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* x (- (* 529/129600 (pow x 4)) 1/36))
(.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
(* x (- (* 529/129600 (pow x 4)) 1/36))
(.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
(* x (- (* 529/129600 (pow x 4)) 1/36))
(.f64 x (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
(* 529/129600 (pow x 5))
(.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 529/129600 binary64)))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(.f64 (+.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(.f64 (+.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(.f64 (+.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(* 529/129600 (pow x 5))
(.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 529/129600 binary64)))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(.f64 (+.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(.f64 (+.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(.f64 (+.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal -1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
-1/36
#s(literal -1/36 binary64)
(- (* 529/129600 (pow x 4)) 1/36)
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(- (* 529/129600 (pow x 4)) 1/36)
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(- (* 529/129600 (pow x 4)) 1/36)
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(* 529/129600 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 529/129600 binary64)))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(* 529/129600 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 529/129600 binary64)))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* 529/129600 (pow x 2))
(.f64 (.f64 x x) #s(literal 529/129600 binary64))
(* 529/129600 (pow x 2))
(.f64 (.f64 x x) #s(literal 529/129600 binary64))
(* 529/129600 (pow x 2))
(.f64 (.f64 x x) #s(literal 529/129600 binary64))
(* 529/129600 (pow x 2))
(.f64 (.f64 x x) #s(literal 529/129600 binary64))
(* 529/129600 (pow x 2))
(.f64 (.f64 x x) #s(literal 529/129600 binary64))
(* 529/129600 (pow x 2))
(.f64 (.f64 x x) #s(literal 529/129600 binary64))
(* 529/129600 (pow x 2))
(.f64 (.f64 x x) #s(literal 529/129600 binary64))
(* 529/129600 (pow x 2))
(.f64 (.f64 x x) #s(literal 529/129600 binary64))
(* 529/129600 (pow x 2))
(.f64 (.f64 x x) #s(literal 529/129600 binary64))
(* 529/129600 (pow x 2))
(.f64 (.f64 x x) #s(literal 529/129600 binary64))
(* 529/129600 (pow x 2))
(.f64 (.f64 x x) #s(literal 529/129600 binary64))
(* 529/129600 (pow x 2))
(.f64 (.f64 x x) #s(literal 529/129600 binary64))

eval225.0ms (1.8%)

Memory: 24.1MiB live, 487.9MiB allocated
Compiler: Compiled 45 663 to 3 174 computations (93% saved)

prune328.0ms (2.6%)

Memory

-2.0MiB live, 316.6MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1 717	3	1 720
Fresh	0	0	0
Picked	4	1	5
Done	0	2	2
Total	1 721	6	1 727

Accuracy

100.0%

Counts

1 727 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (.f64 (.f64 x #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
▶	99.6%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	99.5%	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
▶	99.6%	(*.f64 x (/.f64 x #s(literal 6 binary64)))
✓	99.7%	(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
✓	99.5%	(.f64 #s(literal 1/6 binary64) (.f64 x x))

Compiler

Compiled 48 to 32 computations (33.3% saved)

simplify6.0ms (0%)

Memory

9.6MiB live, 9.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))
✓	cost-diff	(*.f64 x #s(literal -1/36 binary64))
✓	cost-diff	(.f64 (.f64 x #s(literal -1/36 binary64)) x)
✓	cost-diff	(/.f64 (.f64 (.f64 x #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	cost-diff	(/.f64 x #s(literal 6 binary64))
✓	cost-diff	(*.f64 x (/.f64 x #s(literal 6 binary64)))

Rules

58×	`lower-*.f32`
48×	`lower-*.f64`
24×	`*-commutative`
14×	`lower-/.f32`
12×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	53
0	24	53
1	34	53
2	44	53
3	54	53
4	57	53
0	57	53

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 x (/.f64 x #s(literal 6 binary64)))
x
(/.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(*.f64 x x)
x
#s(literal 6 binary64)
(/.f64 (.f64 (.f64 x #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 x #s(literal -1/36 binary64)) x)
(*.f64 x #s(literal -1/36 binary64))
x
#s(literal -1/36 binary64)
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))
(*.f64 x #s(literal -23/360 binary64))
#s(literal -23/360 binary64)
#s(literal -1/6 binary64)

Outputs
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
x
(/.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(*.f64 x x)
x
#s(literal 6 binary64)
(/.f64 (.f64 (.f64 x #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(/.f64 (.f64 x (.f64 x #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 x #s(literal -1/36 binary64)) x)
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(*.f64 x #s(literal -1/36 binary64))
x
#s(literal -1/36 binary64)
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))
(*.f64 x #s(literal -23/360 binary64))
#s(literal -23/360 binary64)
#s(literal -1/6 binary64)

localize178.0ms (1.4%)

Memory

-14.4MiB live, 105.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 x #s(literal -1/36 binary64)) x)
✓	accuracy	99.6%	(/.f64 (.f64 (.f64 x #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal -1/36 binary64))
✓	accuracy	99.2%	(*.f64 x #s(literal -23/360 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	accuracy	100.0%	(/.f64 x #s(literal 6 binary64))
✓	accuracy	99.8%	(*.f64 x (/.f64 x #s(literal 6 binary64)))

Samples

56.0ms

256×

valid

Compiler

Compiled 57 to 17 computations (70.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 30.0ms (65% of total)

const: 9.0ms (19.5% of total)

ival-div: 6.0ms (13% of total)

ival-add: 1.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

9 → 108

Calls

Call 1

Inputs
#<alt (*.f64 x (/.f64 x #s(literal 6 binary64)))>
#<alt (/.f64 x #s(literal 6 binary64))>
#<alt (/.f64 (*.f64 x x) #s(literal 6 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 (.f64 (.f64 x #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))>
#<alt (.f64 (.f64 x #s(literal -1/36 binary64)) x)>
#<alt (*.f64 x #s(literal -1/36 binary64))>
#<alt (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))>
#<alt (*.f64 x #s(literal -23/360 binary64))>

Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 529/21600 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 529/21600 (* -12167/1296000 (pow x 2)))) 23/360))))>
#<alt 10/23>
#<alt (- 10/23 (* 600/529 (/ 1 (pow x 2))))>
#<alt (- (+ 10/23 (/ 36000/12167 (pow x 4))) (* 600/529 (/ 1 (pow x 2))))>
#<alt (- (+ 10/23 (/ 36000/12167 (pow x 4))) (+ (* 600/529 (/ 1 (pow x 2))) (* 2160000/279841 (/ 1 (pow x 6)))))>
#<alt 10/23>
#<alt (- 10/23 (* 600/529 (/ 1 (pow x 2))))>
#<alt (- (+ 10/23 (/ 36000/12167 (pow x 4))) (* 600/529 (/ 1 (pow x 2))))>
#<alt (- (+ 10/23 (/ 36000/12167 (pow x 4))) (+ (* 600/529 (/ 1 (pow x 2))) (* 2160000/279841 (/ 1 (pow x 6)))))>
#<alt (* -1/36 (pow x 2))>
#<alt (* -1/36 (pow x 2))>
#<alt (* -1/36 (pow x 2))>
#<alt (* -1/36 (pow x 2))>
#<alt (* -1/36 (pow x 2))>
#<alt (* -1/36 (pow x 2))>
#<alt (* -1/36 (pow x 2))>
#<alt (* -1/36 (pow x 2))>
#<alt (* -1/36 (pow x 2))>
#<alt (* -1/36 (pow x 2))>
#<alt (* -1/36 (pow x 2))>
#<alt (* -1/36 (pow x 2))>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt (* -1/36 x)>
#<alt -1/6>
#<alt (- (* -23/360 (pow x 2)) 1/6)>
#<alt (- (* -23/360 (pow x 2)) 1/6)>
#<alt (- (* -23/360 (pow x 2)) 1/6)>
#<alt (* -23/360 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -23/360 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/ (* (* x -1/36) x) (+ (* x (* x -23/360)) -1/6))
0.0ms	x	@	inf	(* (* x -1/36) x)
0.0ms	x	@	-inf	(* x -1/36)
0.0ms	x	@	inf	(/ (* (* x -1/36) x) (+ (* x (* x -23/360)) -1/6))
0.0ms	x	@	inf	(* x -1/36)

rewrite862.0ms (7%)

Memory

-26.0MiB live, 499.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 506×	`lower-fma.f32`
5 504×	`lower-fma.f64`
4 442×	`lower-/.f32`
4 436×	`lower-/.f64`
4 430×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	45
0	24	45
1	73	45
2	339	45
3	2718	45
0	8919	45

Stop Event

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

Counts

9 → 490

Calls

Call 1

Inputs
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(/.f64 x #s(literal 6 binary64))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(*.f64 x x)
(/.f64 (.f64 (.f64 x #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 x #s(literal -1/36 binary64)) x)
(*.f64 x #s(literal -1/36 binary64))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))
(*.f64 x #s(literal -23/360 binary64))

Outputs
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (.f64 (neg.f64 (log.f64 (.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 6 binary64) x)) (/.f64 (neg.f64 x) (/.f64 #s(literal 6 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x)) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(neg.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(neg.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) x))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 #s(literal -1/6 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -6 binary64))
(/.f64 (neg.f64 x) (/.f64 #s(literal -6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 x #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (neg.f64 x))) #s(literal -6 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 x (neg.f64 x)))) #s(literal 6 binary64))
(pow.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (.f64 x (.f64 x #s(literal 1/6 binary64)))))) #s(literal -1 binary64))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal -1/6 binary64) (.f64 x (neg.f64 x)))
(.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 x (neg.f64 x)) #s(literal -1/6 binary64))
(.f64 (neg.f64 x) (.f64 x #s(literal -1/6 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (.f64 x #s(literal -1/6 binary64)) (neg.f64 x))
(.f64 (/.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1/6 binary64)))
(.f64 (pow.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))) #s(literal -1/6 binary64))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal -1/6 binary64))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/6 binary64)))
(neg.f64 (*.f64 x #s(literal -1/6 binary64)))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/6 binary64))))
(/.f64 x #s(literal 6 binary64))
(/.f64 #s(literal -1/6 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 x) #s(literal -6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -6 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) #s(literal 6 binary64))
(pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64))))) #s(literal -1 binary64))
(*.f64 x #s(literal 1/6 binary64))
(.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (neg.f64 x))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/6 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -1/6 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/6 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1/6 binary64))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (.f64 (neg.f64 (log.f64 (.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1 binary64) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 6 binary64) x)) (/.f64 (neg.f64 x) (/.f64 #s(literal 6 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x)) (/.f64 x (/.f64 #s(literal -6 binary64) x)))
(neg.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(neg.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) x))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 #s(literal -1/6 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -6 binary64))
(/.f64 (neg.f64 x) (/.f64 #s(literal -6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 x #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x (neg.f64 x))) #s(literal -6 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 x (neg.f64 x)))) #s(literal 6 binary64))
(pow.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (.f64 x (.f64 x #s(literal 1/6 binary64)))))) #s(literal -1 binary64))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal -1/6 binary64) (.f64 x (neg.f64 x)))
(.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (.f64 x (neg.f64 x)) #s(literal -1/6 binary64))
(.f64 (neg.f64 x) (.f64 x #s(literal -1/6 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (.f64 x #s(literal -1/6 binary64)) (neg.f64 x))
(.f64 (/.f64 x #s(literal 1 binary64)) (.f64 x #s(literal 1/6 binary64)))
(.f64 (pow.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))) #s(literal -1/6 binary64))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal -1/6 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x x))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 (*.f64 x (neg.f64 x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 #s(literal -1 binary64) (.f64 x (neg.f64 x)))
(.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (neg.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal -1/36 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal -1/216 binary64))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64))))) (.f64 (/.f64 (.f64 x (.f64 x #s(literal -1/36 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal -1/216 binary64))) (fma.f64 (*.f64 x x) #s(literal -23/2160 binary64) #s(literal 1/36 binary64))))
(+.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal -1/36 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal -1/216 binary64))) (fma.f64 (.f64 x x) #s(literal -23/2160 binary64) #s(literal 1/36 binary64))) (.f64 (/.f64 (.f64 x (.f64 x #s(literal -1/36 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal -1/216 binary64))) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 529/129600 binary64))))))
(+.f64 (.f64 (/.f64 (.f64 x (.f64 x #s(literal -1/36 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64))) (.f64 x (.f64 x #s(literal -23/360 binary64)))) (.f64 (/.f64 (.f64 x (.f64 x #s(literal -1/36 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64))) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal -1/36 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal -1/216 binary64)))) (.f64 (fma.f64 (.f64 x x) #s(literal -23/2160 binary64) #s(literal 1/36 binary64)) (/.f64 (.f64 x (.f64 x #s(literal -1/36 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal -1/216 binary64)))))
(+.f64 (.f64 (fma.f64 (.f64 x x) #s(literal -23/2160 binary64) #s(literal 1/36 binary64)) (/.f64 (.f64 x (.f64 x #s(literal -1/36 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal -1/216 binary64)))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal -1/36 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal -1/216 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal -23/360 binary64))) (/.f64 (.f64 x (.f64 x #s(literal -1/36 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 (.f64 x (.f64 x #s(literal -1/36 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) (.f64 x (.f64 x #s(literal -1/36 binary64))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (.f64 x (.f64 x #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))))
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(*.f64 x #s(literal -23/360 binary64))
(*.f64 #s(literal -23/360 binary64) x)

simplify466.0ms (3.8%)

Memory

-6.0MiB live, 447.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 696×	`lower-fma.f64`
10 696×	`lower-fma.f32`
3 702×	`lower-*.f64`
3 702×	`lower-*.f32`
1 624×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	534
1	139	534
2	349	534
3	855	534
4	1843	534
5	3250	534
6	6678	534
0	8165	519

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 529/21600 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 529/21600 (* -12167/1296000 (pow x 2)))) 23/360))))
10/23
(- 10/23 (* 600/529 (/ 1 (pow x 2))))
(- (+ 10/23 (/ 36000/12167 (pow x 4))) (* 600/529 (/ 1 (pow x 2))))
(- (+ 10/23 (/ 36000/12167 (pow x 4))) (+ (* 600/529 (/ 1 (pow x 2))) (* 2160000/279841 (/ 1 (pow x 6)))))
10/23
(- 10/23 (* 600/529 (/ 1 (pow x 2))))
(- (+ 10/23 (/ 36000/12167 (pow x 4))) (* 600/529 (/ 1 (pow x 2))))
(- (+ 10/23 (/ 36000/12167 (pow x 4))) (+ (* 600/529 (/ 1 (pow x 2))) (* 2160000/279841 (/ 1 (pow x 6)))))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 (pow x 2))
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
(* -1/36 x)
-1/6
(- (* -23/360 (pow x 2)) 1/6)
(- (* -23/360 (pow x 2)) 1/6)
(- (* -23/360 (pow x 2)) 1/6)
(* -23/360 (pow x 2))
(* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -23/360 (pow x 2))
(* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)

Outputs
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 529/21600 (pow x 2)) 23/360))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 529/21600 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 529/21600 (* -12167/1296000 (pow x 2)))) 23/360))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -12167/1296000 binary64) #s(literal 529/21600 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
10/23
#s(literal 10/23 binary64)
(- 10/23 (* 600/529 (/ 1 (pow x 2))))
(+.f64 #s(literal 10/23 binary64) (/.f64 #s(literal -600/529 binary64) (*.f64 x x)))
(- (+ 10/23 (/ 36000/12167 (pow x 4))) (* 600/529 (/ 1 (pow x 2))))
(+.f64 #s(literal 10/23 binary64) (+.f64 (/.f64 #s(literal 36000/12167 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -600/529 binary64) (.f64 x x))))
(- (+ 10/23 (/ 36000/12167 (pow x 4))) (+ (* 600/529 (/ 1 (pow x 2))) (* 2160000/279841 (/ 1 (pow x 6)))))
(+.f64 (+.f64 #s(literal 10/23 binary64) (/.f64 #s(literal 36000/12167 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal -600/529 binary64) (.f64 x x)) (/.f64 #s(literal -2160000/279841 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
10/23
#s(literal 10/23 binary64)
(- 10/23 (* 600/529 (/ 1 (pow x 2))))
(+.f64 #s(literal 10/23 binary64) (/.f64 #s(literal -600/529 binary64) (*.f64 x x)))
(- (+ 10/23 (/ 36000/12167 (pow x 4))) (* 600/529 (/ 1 (pow x 2))))
(+.f64 #s(literal 10/23 binary64) (+.f64 (/.f64 #s(literal 36000/12167 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -600/529 binary64) (.f64 x x))))
(- (+ 10/23 (/ 36000/12167 (pow x 4))) (+ (* 600/529 (/ 1 (pow x 2))) (* 2160000/279841 (/ 1 (pow x 6)))))
(+.f64 (+.f64 #s(literal 10/23 binary64) (/.f64 #s(literal 36000/12167 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (/.f64 #s(literal -600/529 binary64) (.f64 x x)) (/.f64 #s(literal -2160000/279841 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(* -1/36 (pow x 2))
(.f64 x (.f64 x #s(literal -1/36 binary64)))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* -23/360 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))
(- (* -23/360 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))
(- (* -23/360 (pow x 2)) 1/6)
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))
(* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))
(* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))
(* -23/360 (pow x 2))
(.f64 (.f64 x x) #s(literal -23/360 binary64))
(* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))
(* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))
(* -1 (* (pow x 2) (+ 23/360 (* 1/6 (/ 1 (pow x 2))))))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))

eval70.0ms (0.6%)

Memory: -3.6MiB live, 184.7MiB allocated
Compiler: Compiled 15 962 to 1 368 computations (91.4% saved)

prune56.0ms (0.4%)

Memory

18.2MiB live, 178.7MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	596	2	598
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	597	7	604

Accuracy

100.0%

Counts

604 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.f64 (.f64 (.f64 x #s(literal -1/36 binary64)) x) #s(literal -1/6 binary64))
✓	99.6%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	99.5%	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
✓	99.6%	(*.f64 x (/.f64 x #s(literal 6 binary64)))
✓	99.7%	(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
✓	99.5%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
	4.2%	#s(literal 10/23 binary64)

Compiler

Compiled 188 to 83 computations (55.9% saved)

regimes10.0ms (0.1%)

Memory

-12.2MiB live, 26.2MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(literal 10/23 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(/.f64 (.f64 (.f64 x #s(literal -1/36 binary64)) x) #s(literal -1/6 binary64))
(/.f64 (.f64 (.f64 x #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) (tan.f64 x))
(/.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) (tan.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Outputs
(.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))

Calls

2 calls:

6.0ms	x
4.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

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

Compiler

Compiled 10 to 6 computations (40% saved)

regimes6.0ms (0%)

Memory

18.6MiB live, 18.6MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(literal 10/23 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(/.f64 (.f64 (.f64 x #s(literal -1/36 binary64)) x) #s(literal -1/6 binary64))
(/.f64 (.f64 (.f64 x #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))

Outputs
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 10/23 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(/.f64 (*.f64 x x) #s(literal 6 binary64))

Outputs
(*.f64 x (/.f64 x #s(literal 6 binary64)))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes7.0ms (0.1%)

Memory

-42.6MiB live, 8.0MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 10/23 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)

Outputs
(.f64 (.f64 #s(literal 1/6 binary64) x) x)

Calls

2 calls:

5.0ms	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
2.0ms	x

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes3.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 10/23 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))

Outputs
(.f64 #s(literal 1/6 binary64) (.f64 x x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes3.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 10/23 binary64)

Outputs
#s(literal 10/23 binary64)

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
4.2%	1	`x`
4.2%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

simplify6.0ms (0%)

Memory

14.5MiB live, 14.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	38
1	28	38

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
#s(literal 10/23 binary64)

Outputs
(.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
#s(literal 10/23 binary64)

soundness783.0ms (6.3%)

Memory

-14.4MiB live, 740.7MiB allocated

Rules

18 358×	`lower-fma.f64`
18 358×	`lower-fma.f32`
10 696×	`lower-fma.f64`
10 696×	`lower-fma.f32`
6 098×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	105	408
1	301	384
2	829	384
3	2520	348
4	5523	342
0	8535	318
0	19	101
0	36	95
1	115	91
2	665	91
3	5351	91
0	8247	91
0	55	534
1	139	534
2	349	534
3	855	534
4	1843	534
5	3250	534
6	6678	534
0	8165	519
0	94	1518
1	226	1518
2	580	1512
3	1447	1512
4	3632	1512
5	6043	1512
0	8431	1434

Stop Event

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

Compiler

Compiled 149 to 92 computations (38.3% saved)

preprocess57.0ms (0.5%)

Memory: 25.1MiB live, 143.7MiB allocated
Remove: (abs x)
Compiler: Compiled 184 to 108 computations (41.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	21
1	26	17
2	76	14
3	229	14
4	572	14
5	784	14
6	817	14
7	855	14
8	884	14
0	5	7
0	9	7
1	14	7
2	21	7
3	33	7
4	58	7
5	88	7
6	144	7
7	234	7
8	414	7
9	673	7
10	680	7
11	718	7
12	747	7
0	747	7

Iter	Nodes	Cost
0	5	16
0	9	16
1	14	16
2	21	16
3	33	16
4	58	16
5	88	16
6	144	16
7	234	16
8	414	16
9	673	16
10	680	16
11	718	16
12	747	16
0	747	16

Iter	Nodes	Cost
0	19	128
0	36	122
1	73	118
2	164	118
3	258	118
4	324	118
5	399	118
6	495	118
7	516	118
8	538	118
0	538	118

Iter	Nodes	Cost
0	7	21
1	26	17
2	76	14
3	229	14
4	572	14
5	784	14
6	817	14
7	855	14
8	884	14
0	5	7
0	9	7
1	14	7
2	21	7
3	33	7
4	58	7
5	88	7
6	144	7
7	234	7
8	414	7
9	673	7
10	680	7
11	718	7
12	747	7
0	747	7

Iter	Nodes	Cost
0	5	16
0	9	16
1	14	16
2	21	16
3	33	16
4	58	16
5	88	16
6	144	16
7	234	16
8	414	16
9	673	16
10	680	16
11	718	16
12	747	16
0	747	16

Iter	Nodes	Cost
0	19	128
0	36	122
1	73	118
2	164	118
3	258	118
4	324	118
5	399	118
6	495	118
7	516	118
8	538	118
0	538	118

analyze2.0ms (0%)

sample3.6s (28.8%)

preprocess48.0ms (0.4%)

explain550.0ms (4.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify63.0ms (0.5%)

localize105.0ms (0.8%)

series7.0ms (0.1%)

rewrite368.0ms (3%)

simplify420.0ms (3.4%)

eval112.0ms (0.9%)

prune60.0ms (0.5%)

simplify22.0ms (0.2%)

localize79.0ms (0.6%)

series25.0ms (0.2%)

rewrite685.0ms (5.5%)

simplify352.0ms (2.8%)

eval327.0ms (2.6%)

prune84.0ms (0.7%)

simplify800.0ms (6.5%)

localize276.0ms (2.2%)

series9.0ms (0.1%)

rewrite992.0ms (8%)

simplify345.0ms (2.8%)

eval225.0ms (1.8%)

prune328.0ms (2.6%)

simplify6.0ms (0%)

localize178.0ms (1.4%)

series6.0ms (0%)

rewrite862.0ms (7%)

simplify466.0ms (3.8%)

eval70.0ms (0.6%)

prune56.0ms (0.4%)

regimes10.0ms (0.1%)

regimes6.0ms (0%)

regimes4.0ms (0%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

simplify6.0ms (0%)

soundness783.0ms (6.3%)

preprocess57.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	21
1	26	17
2	76	14
3	229	14
4	572	14
5	784	14
6	817	14
7	855	14
8	884	14
0	5	7
0	9	7
1	14	7
2	21	7
3	33	7
4	58	7
5	88	7
6	144	7
7	234	7
8	414	7
9	673	7
10	680	7
11	718	7
12	747	7
0	747	7

Iter	Nodes	Cost
0	5	16
0	9	16
1	14	16
2	21	16
3	33	16
4	58	16
5	88	16
6	144	16
7	234	16
8	414	16
9	673	16
10	680	16
11	718	16
12	747	16
0	747	16

Iter	Nodes	Cost
0	19	128
0	36	122
1	73	118
2	164	118
3	258	118
4	324	118
5	399	118
6	495	118
7	516	118
8	538	118
0	538	118