Metrics for ENA, Section 1.4, Exercise 4a

analyze2.0ms (0%)

Memory

3.6MiB live, 3.6MiB 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)

sample5.3s (27.8%)

Memory

-56.6MiB live, 4 434.2MiB allocated

Samples

4.3s	5 774×	2	valid
616.0ms	2 383×	1	valid
7.0ms	99×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 4.4s

ival-sin: 3.5s (80.4% of total)

ival-sub: 263.0ms (6% of total)

ival-div: 244.0ms (5.5% of total)

adjust: 205.0ms (4.6% of total)

ival-tan: 82.0ms (1.9% of total)

ival-<=: 46.0ms (1% of total)

ival-and: 13.0ms (0.3% of total)

exact: 11.0ms (0.2% of total)

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

Bogosity

preprocess52.0ms (0.3%)

Memory

14.8MiB live, 92.9MiB allocated

Algorithm

2×	egg-herbie

Rules

272×	`accelerator-lowering-fma.f32`
272×	`accelerator-lowering-fma.f64`
176×	`-lowering-.f32`
176×	`-lowering-.f64`
150×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	32	22
2	80	21
3	228	21
4	575	21
5	786	21
6	812	21
7	850	21
8	879	21
0	5	7
1	10	7
2	17	7
3	29	7
4	54	7
5	84	7
6	140	7
7	230	7
8	409	7
9	671	7
10	681	7
11	719	7
12	748	7
0	748	7

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(/ (- x (sin x)) (tan x))
(/ (- (neg x) (sin (neg x))) (tan (neg x)))
(neg (/ (- (neg x) (sin (neg x))) (tan (neg x))))

Outputs
(/ (- x (sin x)) (tan x))
(/ (- (neg x) (sin (neg x))) (tan (neg x)))
(/ (- x (sin x)) (tan x))
(neg (/ (- (neg x) (sin (neg x))) (tan (neg x))))
(/ (- (sin x) x) (tan x))

Symmetry

(abs x)

explain220.0ms (1.2%)

Memory

3.6MiB live, 403.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
85	1	(3.519073258811691e-108)	0	-	`(-.f64 x (sin.f64 x))`
52	1	(4.62043751818178e-162)	4	(3.519073258811691e-108)	`(/.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	86	0
`/.f64`	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`	u/n	49	0
↳	`(-.f64 x (sin.f64 x))`	underflow	170

Confusion

	Predicted +	Predicted -
+	134	0
-	1	121

Precision

0.9925925925925926

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	134	0	0
-	1	0	121

Precision?

0.9925925925925926

Recall?

1.0

Freqs

test

number	freq
0	121
1	135

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

148.0ms	360×	2	valid
23.0ms	150×	1	valid
0.0ms	2×	0	valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-sin: 114.0ms (77.8% of total)

ival-div: 11.0ms (7.5% of total)

ival-sub: 9.0ms (6.1% of total)

adjust: 8.0ms (5.5% of total)

ival-tan: 4.0ms (2.7% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.7%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify25.0ms (0.1%)

Memory

-10.0MiB live, 28.8MiB 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×	`accelerator-lowering-fma.f32`
272×	`accelerator-lowering-fma.f64`
176×	`-lowering-.f32`
176×	`-lowering-.f64`
150×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
1	10	16
2	17	16
3	29	16
4	54	16
5	84	16
6	140	16
7	230	16
8	409	16
9	671	16
10	681	16
11	719	16
12	748	16
0	748	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize84.0ms (0.4%)

Memory

-3.5MiB live, 149.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	100.0%	(sin.f64 x)
✓	accuracy	82.4%	(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
✓	accuracy	69.9%	(-.f64 x (sin.f64 x))

Samples

63.0ms	180×	2	valid
12.0ms	75×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-sin: 47.0ms (72.9% of total)

ival-sub: 7.0ms (10.9% of total)

ival-div: 5.0ms (7.8% of total)

adjust: 4.0ms (6.2% of total)

ival-tan: 2.0ms (3.1% of total)

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

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

series4.0ms (0%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (/ (- x (sin x)) (tan x))>
#<alt (- x (sin x))>
#<alt (sin x)>
#<alt (tan 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
1.0ms	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)

rewrite352.0ms (1.8%)

Memory

-4.9MiB live, 590.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 862×	`-lowering-.f32`
5 862×	`-lowering-.f64`
3 904×	`/-lowering-/.f32`
3 904×	`/-lowering-/.f64`
2 230×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
1	33	15
2	263	15
3	3097	15
0	9004	15

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 481

Calls

Call 1

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

Outputs
(+.f64 (/.f64 x (tan.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(+.f64 (/.f64 x (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(+.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 x (tan.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x))) (/.f64 x (tan.f64 x)))
(+.f64 (.f64 (/.f64 x (tan.f64 x)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (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)) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.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 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 x))) (/.f64 (-.f64 (sin.f64 x) x) (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 (.f64 (cos.f64 x) #s(literal 1 binary64)) (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 (.f64 (cos.f64 x) #s(literal 1 binary64)) (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)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (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)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(fma.f64 (cos.f64 x) (/.f64 x (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(fma.f64 (/.f64 x (tan.f64 x)) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 x (tan.f64 x)))
(fma.f64 (-.f64 #s(literal 0 binary64) (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) (*.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 x (tan.f64 x)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (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)) (-.f64 #s(literal 0 binary64) (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)) (-.f64 #s(literal 0 binary64) (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)) (-.f64 #s(literal 0 binary64) (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)) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (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)) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (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)) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(fma.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (sin.f64 x))) (-.f64 #s(literal 0 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(fma.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (sin.f64 x))) (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x))))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (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))))
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(.f64 (/.f64 (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) (-.f64 x (sin.f64 x)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) (.f64 x x)) (pow.f64 (.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) #s(literal 3 binary64)))) (fma.f64 (.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (-.f64 (.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (pow.f64 (.f64 (sin.f64 x) (+.f64 x (sin.f64 x))) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (sin.f64 x) (+.f64 x (sin.f64 x)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 x))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x))))
(.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (pow.f64 (sin.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (pow.f64 (.f64 x (sin.f64 x)) #s(literal 3 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (sin.f64 x)))))
(.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (-.f64 (fma.f64 x x #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))))
(.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (-.f64 (.f64 x (.f64 x (.f64 x x))) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x))))))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(sin.f64 x)
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) #s(literal 1 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) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(tan.f64 x)
(neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (*.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))) (.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (sin.f64 x))) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (/.f64 (cos.f64 x) (-.f64 #s(literal 0 binary64) (sin.f64 x)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (cos.f64 x)) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) (*.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (cos.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (cos.f64 x) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (sin.f64 x)))) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x)) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))) (.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (cos.f64 x)) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (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) (.f64 (cos.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) (cos.f64 x)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (sin.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))))

simplify521.0ms (2.7%)

Memory

6.2MiB live, 773.7MiB allocated

Algorithm

1×	egg-herbie

Rules

18 358×	`accelerator-lowering-fma.f32`
18 358×	`accelerator-lowering-fma.f64`
5 180×	`-lowering-.f32`
5 180×	`-lowering-.f64`
3 422×	`+-lowering-+.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 → 48

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))
(fma.f64 (cos.f64 x) (/.f64 x (sin.f64 x)) #s(literal 0 binary64))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(fma.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(fma.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)) #s(literal 0 binary64))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(fma.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)) #s(literal 0 binary64))
(/ (* x (cos x)) (sin x))
(fma.f64 (cos.f64 x) (/.f64 x (sin.f64 x)) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(fma.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(fma.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(fma.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)) #s(literal 0 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))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(.f64 x (fma.f64 (.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)) #s(literal 1 binary64)))
(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))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(.f64 x (fma.f64 (.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)) #s(literal 1 binary64)))
(/ (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))

eval65.0ms (0.3%)

Memory: -9.2MiB live, 140.4MiB allocated
Compiler: Compiled 12 632 to 1 559 computations (87.7% saved)

prune68.0ms (0.4%)

Memory

-16.1MiB live, 154.3MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	523	6	529
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	524	6	530

Accuracy

99.9%

Counts

530 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.3%	(/.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))
▶	82.0%	(/.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) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
▶	99.6%	(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
▶	99.7%	(.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))))
▶	99.3%	(.f64 #s(literal 1/6 binary64) (.f64 x x))

Compiler

Compiled 162 to 100 computations (38.3% saved)

simplify69.0ms (0.4%)

Memory

32.5MiB live, 143.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Program
✓	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) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
✓	cost-diff	(.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)))
✓	cost-diff	(.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))))
✓	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))
✓	cost-diff	(.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)))
✓	cost-diff	(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))
✓	cost-diff	(.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)))
✓	cost-diff	(.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))))

Rules

2 152×	`accelerator-lowering-fma.f32`
2 152×	`accelerator-lowering-fma.f64`
696×	`-lowering-.f32`
696×	`-lowering-.f64`
636×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	240
1	102	240
2	296	240
3	603	240
4	1059	240
5	1524	240
6	1596	240
7	1599	240
8	1600	240
0	1600	215

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* x (* x (+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6)))
x
(* x (+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6))
(+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6)
(* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))
(+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360)
(* x (+ (* (* x x) -143/604800) -11/15120))
(+ (* (* x x) -143/604800) -11/15120)
(* x x)
-143/604800
-11/15120
-23/360
1/6
(* 1/6 (* x x))
1/6
(* x x)
x
(* x (* x (+ (* (* x x) -23/360) 1/6)))
x
(* x (+ (* (* x x) -23/360) 1/6))
(+ (* (* x x) -23/360) 1/6)
(* x x)
-23/360
1/6
(* x (* x (+ (* (* x x) (+ (* (* x x) -11/15120) -23/360)) 1/6)))
x
(* x (+ (* (* x x) (+ (* (* x x) -11/15120) -23/360)) 1/6))
(+ (* (* x x) (+ (* (* x x) -11/15120) -23/360)) 1/6)
(* x x)
(+ (* (* x x) -11/15120) -23/360)
-11/15120
-23/360
1/6
(/ (* 1/6 (* x (* x x))) (tan x))
(* 1/6 (* x (* x x)))
1/6
(* x (* x x))
x
(* x x)
(tan x)

Outputs
(* x (* x (+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6)))
(.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x 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
(* x (+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x 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 (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6)
(fma.f64 x (.f64 x (fma.f64 (.f64 x 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 (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))
(+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))
(* x (+ (* (* x x) -143/604800) -11/15120))
(.f64 x (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)))
(+ (* (* x x) -143/604800) -11/15120)
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
(* x x)
(*.f64 x x)
-143/604800
#s(literal -143/604800 binary64)
-11/15120
#s(literal -11/15120 binary64)
-23/360
#s(literal -23/360 binary64)
1/6
#s(literal 1/6 binary64)
(* 1/6 (* x x))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(* x x)
(*.f64 x x)
x
(* x (* x (+ (* (* x x) -23/360) 1/6)))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
x
(* x (+ (* (* x x) -23/360) 1/6))
(.f64 x (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(+ (* (* x x) -23/360) 1/6)
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* x x)
(*.f64 x x)
-23/360
#s(literal -23/360 binary64)
1/6
#s(literal 1/6 binary64)
(* x (* x (+ (* (* x x) (+ (* (* x x) -11/15120) -23/360)) 1/6)))
(.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))
x
(* x (+ (* (* x x) (+ (* (* x x) -11/15120) -23/360)) 1/6))
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))
(+ (* (* x x) (+ (* (* x x) -11/15120) -23/360)) 1/6)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(* x x)
(*.f64 x x)
(+ (* (* x x) -11/15120) -23/360)
(fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))
-11/15120
#s(literal -11/15120 binary64)
-23/360
#s(literal -23/360 binary64)
1/6
#s(literal 1/6 binary64)
(/ (* 1/6 (* x (* x x))) (tan x))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) (tan.f64 x))
(* 1/6 (* x (* x x)))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
1/6
#s(literal 1/6 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(tan x)
(tan.f64 x)

localize127.0ms (0.7%)

Memory

1.1MiB live, 271.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(tan.f64 x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	82.4%	(/.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 -11/15120 binary64) #s(literal -23/360 binary64))
✓	accuracy	100.0%	(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))
✓	accuracy	99.8%	(.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))))
✓	accuracy	99.5%	(.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)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
✓	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	99.8%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	accuracy	99.8%	(.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))))
✓	accuracy	99.8%	(.f64 x (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)))
✓	accuracy	99.5%	(.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)))
✓	accuracy	99.2%	(.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)))

Samples

68.0ms

256×

valid

Compiler

Compiled 223 to 33 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 25.0ms (48.5% of total)

const: 15.0ms (29.1% of total)

ival-add: 7.0ms (13.6% of total)

ival-div: 2.0ms (3.9% of total)

ival-tan: 2.0ms (3.9% of total)

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

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

series17.0ms (0.1%)

Memory

6.0MiB live, 42.3MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#<alt (* x (* x (+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6)))>
#<alt (* x (+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6))>
#<alt (+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6)>
#<alt (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))>
#<alt (* 1/6 (* x x))>
#<alt (* x x)>
#<alt (* x (* x (+ (* (* x x) -23/360) 1/6)))>
#<alt (* x (+ (* (* x x) -23/360) 1/6))>
#<alt (+ (* (* x x) -23/360) 1/6)>
#<alt (* x (* x (+ (* (* x x) (+ (* (* x x) -11/15120) -23/360)) 1/6)))>
#<alt (* x (+ (* (* x x) (+ (* (* x x) -11/15120) -23/360)) 1/6))>
#<alt (+ (* (* x x) (+ (* (* x x) -11/15120) -23/360)) 1/6)>
#<alt (/ (* 1/6 (* x (* x x))) (tan x))>
#<alt (* 1/6 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* x (+ (* (* x x) -143/604800) -11/15120))>
#<alt (+ (* (* x x) -11/15120) -23/360)>
#<alt (tan 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 (* -143/604800 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -143/604800 (pow x 8))>
#<alt (* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (* -143/604800 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -143/604800 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))>
#<alt 1/6>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))>
#<alt (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))>
#<alt (* -143/604800 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -143/604800 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -23/360 x)>
#<alt (* x (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))>
#<alt (* -143/604800 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))>
#<alt (* -143/604800 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (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)>
#<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 (* -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) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* -11/15120 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* -11/15120 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))>
#<alt (* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))>
#<alt 1/6>
#<alt (+ 1/6 (* -23/360 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))>
#<alt (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))>
#<alt (* -11/15120 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<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 (* -11/15120 x)>
#<alt (* x (- (* -143/604800 (pow x 2)) 11/15120))>
#<alt (* x (- (* -143/604800 (pow x 2)) 11/15120))>
#<alt (* x (- (* -143/604800 (pow x 2)) 11/15120))>
#<alt (* -143/604800 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -143/604800 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))>
#<alt -23/360>
#<alt (- (* -11/15120 (pow x 2)) 23/360)>
#<alt (- (* -11/15120 (pow x 2)) 23/360)>
#<alt (- (* -11/15120 (pow x 2)) 23/360)>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 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

54 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(* 1/6 (* x (* x x)))
1.0ms	x	@	inf	(* x (+ (* (* x x) -23/360) 1/6))
1.0ms	x	@	inf	(/ (* 1/6 (* x (* x x))) (tan x))
1.0ms	x	@	0	(* x (* x (+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6)))
1.0ms	x	@	-inf	(/ (* 1/6 (* x (* x x))) (tan x))

rewrite439.0ms (2.3%)

Memory

1.2MiB live, 680.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 070×	`accelerator-lowering-fma.f32`
6 070×	`accelerator-lowering-fma.f64`
4 856×	`-lowering-.f32`
4 856×	`-lowering-.f64`
4 378×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	192
1	187	192
2	1416	192
0	8172	170

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 590

Calls

Call 1

Inputs
(* x (* x (+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6)))
(* x (+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6))
(+ (* x (* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))) 1/6)
(* x (+ (* x (* x (+ (* (* x x) -143/604800) -11/15120))) -23/360))
(* 1/6 (* x x))
(* x x)
(* x (* x (+ (* (* x x) -23/360) 1/6)))
(* x (+ (* (* x x) -23/360) 1/6))
(+ (* (* x x) -23/360) 1/6)
(* x (* x (+ (* (* x x) (+ (* (* x x) -11/15120) -23/360)) 1/6)))
(* x (+ (* (* x x) (+ (* (* x x) -11/15120) -23/360)) 1/6))
(+ (* (* x x) (+ (* (* x x) -11/15120) -23/360)) 1/6)
(/ (* 1/6 (* x (* x x))) (tan x))
(* 1/6 (* x (* x x)))
(* x (* x x))
(* x (+ (* (* x x) -143/604800) -11/15120))
(+ (* (* x x) -11/15120) -23/360)
(tan x)

Outputs
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x x)))
(+.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) x) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x x)) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x x) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (*.f64 x x)))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/36 binary64)) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)) (.f64 (.f64 x x) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal -1/36 binary64)))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/36 binary64)) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x #s(literal 1/6 binary64)))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal -1/36 binary64))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x 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)))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/216 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/36 binary64)) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x #s(literal 1/6 binary64))))))
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(.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -2924207/221225582592000000 binary64)) #s(literal -1331/3456649728000 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 20449/365783040000 binary64)) #s(literal 121/228614400 binary64)) (.f64 (.f64 x x) #s(literal 1573/9144576000 binary64)))))
(.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 20449/365783040000 binary64)) #s(literal -121/228614400 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))))
(+.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x #s(literal -11/15120 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))
(+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64))) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (neg.f64 (/.f64 #s(literal 529/129600 binary64) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64))) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))))
(-.f64 (/.f64 #s(literal 529/129600 binary64) (-.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x #s(literal -11/15120 binary64))))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64))) (-.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x #s(literal -11/15120 binary64))))))
(fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (neg.f64 (/.f64 #s(literal 529/129600 binary64) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)))))
(fma.f64 (*.f64 x #s(literal -11/15120 binary64)) x #s(literal -23/360 binary64))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64)) (-.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) #s(literal 253/5443200 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64)) (+.f64 #s(literal 529/129600 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64))) (.f64 (*.f64 x x) #s(literal 253/5443200 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 529/129600 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64))) (.f64 (.f64 x x) #s(literal 253/5443200 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x #s(literal -11/15120 binary64)))) (-.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64))))))
(/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64)) #s(literal -529/129600 binary64)) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64)) (-.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) #s(literal 253/5443200 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64))) (neg.f64 (+.f64 #s(literal 529/129600 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64))) (.f64 (*.f64 x x) #s(literal 253/5443200 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64)) #s(literal -529/129600 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))))
(/.f64 (-.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64)))) (-.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x #s(literal -11/15120 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64))) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)) #s(literal 529/129600 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal -1331/3456649728000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 1771561/11948427342082473984000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -1801152661463/101559956668416000000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1771561/11948427342082473984000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 148035889/2176782336000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 16194277/161273449709568000000 binary64)))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64)) (-.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) #s(literal 253/5443200 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1771561/11948427342082473984000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -148035889/2176782336000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1331/3456649728000 binary64)) #s(literal 12167/46656000 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64)) (-.f64 #s(literal 529/129600 binary64) (.f64 (*.f64 x x) #s(literal 253/5443200 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1771561/11948427342082473984000000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -148035889/2176782336000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 14641/52264543887360000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 279841/16796160000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 64009/29628426240000 binary64)))) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 14641/52264543887360000 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 x x) (.f64 x x))) #s(literal -279841/16796160000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64)) #s(literal 529/129600 binary64)) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64)) (-.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) #s(literal 253/5443200 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64)) #s(literal -529/129600 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64))))) (neg.f64 (-.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x #s(literal -11/15120 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64))) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 529/129600 binary64) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64))) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64))) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (fma.f64 (/.f64 #s(literal 529/129600 binary64) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64))) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64))) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64))) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)))) (.f64 (/.f64 #s(literal 529/129600 binary64) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))))) (+.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64))) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))) (/.f64 #s(literal 529/129600 binary64) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64)) (-.f64 #s(literal 529/129600 binary64) (.f64 (*.f64 x x) #s(literal 253/5443200 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 529/129600 binary64) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64))) (.f64 (.f64 x x) #s(literal 253/5443200 binary64))))))
(.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))
(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64)) #s(literal -529/129600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1331/3456649728000 binary64)) #s(literal -12167/46656000 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64)) (-.f64 #s(literal 529/129600 binary64) (.f64 (*.f64 x x) #s(literal 253/5443200 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64)) #s(literal -529/129600 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal 23/360 binary64)))))
(.f64 (-.f64 #s(literal 529/129600 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 121/228614400 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -23/360 binary64) (.f64 x (*.f64 x #s(literal -11/15120 binary64))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(tan.f64 x)
(neg.f64 (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(/.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (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) (neg.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (-.f64 #s(literal 0 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x))) (neg.f64 (-.f64 #s(literal 0 binary64) (cos.f64 x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #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 #s(literal 1 binary64) (tan.f64 x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (tan.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cos.f64 x))))

simplify630.0ms (3.3%)

Memory

-24.2MiB live, 691.3MiB allocated

Algorithm

1×	egg-herbie

Rules

16 412×	`accelerator-lowering-fma.f32`
16 412×	`accelerator-lowering-fma.f64`
5 598×	`-lowering-.f32`
5 598×	`-lowering-.f64`
2 824×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	1944
1	507	1938
2	1660	1914
3	5185	1906
0	8564	1815

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -23/360 x)
(* x (- (* -11/15120 (pow x 2)) 23/360))
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(* -143/604800 (pow x 5))
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* -143/604800 (pow x 5))
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (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)
(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 (* -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) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* 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)
(* -11/15120 x)
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* x (- (* -143/604800 (pow x 2)) 11/15120))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -143/604800 (pow x 3))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* -11/15120 (pow x 2)) 23/360)
(- (* -11/15120 (pow x 2)) 23/360)
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 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))
(* (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) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 x (.f64 x (fma.f64 x (.f64 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 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -143/604800 (pow x 8))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* -143/604800 (pow x 8))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 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 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -143/604800 (pow x 7))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (+.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(* -143/604800 (pow x 7))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))) (/.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(.f64 (+.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 7 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 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* -143/604800 (pow x 6))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))) (/.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/6 binary64))
(* -143/604800 (pow x 6))
(*.f64 #s(literal -143/604800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))) (/.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1/6 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* x (- (* -11/15120 (pow x 2)) 23/360))
(.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))
(* x (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64)))
(* -143/604800 (pow x 5))
(.f64 #s(literal -143/604800 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (.f64 x x))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* (pow x 5) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 (+.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal -23/360 binary64) (.f64 x x))) (.f64 x x))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* -143/604800 (pow x 5))
(.f64 #s(literal -143/604800 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))) (/.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1 (* (pow x 5) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) x) (+.f64 (+.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal -11/15120 binary64) (.f64 x x))) (/.f64 #s(literal -23/360 binary64) (.f64 x (.f64 x (*.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))
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(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* -11/15120 (pow x 2))
(.f64 (.f64 x x) #s(literal -11/15120 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(.f64 x (fma.f64 (.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)) #s(literal 1 binary64)))
(/ (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))

eval117.0ms (0.6%)

Memory: -3.8MiB live, 265.4MiB allocated
Compiler: Compiled 28 821 to 2 556 computations (91.1% saved)

prune187.0ms (1%)

Memory

-1.8MiB live, 160.5MiB allocated

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	885	11	896
Fresh	1	0	1
Picked	1	4	5
Done	0	0	0
Total	887	15	902

Accuracy

100.0%

Counts

902 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x x) (.f64 x (.f64 x #s(literal 1/6 binary64))))
	99.6%	(fma.f64 (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64)))) x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
	99.6%	(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/36 binary64)) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x #s(literal 1/6 binary64)))))
▶	99.6%	(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
▶	82.0%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))))
▶	81.9%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))))
	99.6%	(.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
	27.4%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
▶	99.3%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
▶	99.7%	(.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
✓	99.7%	(.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))))
✓	99.6%	(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
✓	99.7%	(.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))))
✓	99.3%	(.f64 #s(literal 1/6 binary64) (.f64 x x))

Compiler

Compiled 552 to 249 computations (54.9% saved)

simplify1.4s (7.3%)

Memory

9.4MiB live, 450.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	cost-diff	640	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 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 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	cost-diff	1024	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
✓	cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 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 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
✓	cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))

Rules

16 604×	`accelerator-lowering-fma.f32`
16 604×	`accelerator-lowering-fma.f64`
7 184×	`-lowering-.f32`
7 184×	`-lowering-.f64`
2 708×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	163
1	61	153
2	140	153
3	409	153
4	796	153
5	2097	153
6	2490	153
7	2772	153
8	3112	153
9	3583	153
10	4276	153
11	5384	153
12	5696	153
13	5895	153
14	5996	153
15	6104	153
16	6213	153
0	8377	143

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (/ x (/ 1 (+ (* x (* x -23/360)) 1/6))))
x
(/ x (/ 1 (+ (* x (* x -23/360)) 1/6)))
(/ 1 (+ (* x (* x -23/360)) 1/6))
1
(+ (* x (* x -23/360)) 1/6)
(* x -23/360)
-23/360
1/6
(* (* x 1/6) x)
(* x 1/6)
x
1/6
(/ (* 1/6 (* x (* x x))) x)
(* 1/6 (* x (* x x)))
1/6
(* x (* x x))
x
(* x x)
(/ (* x x) (/ 1 (+ (* x (* x -23/360)) 1/6)))
(* x x)
x
(/ 1 (+ (* x (* x -23/360)) 1/6))
1
(+ (* x (* x -23/360)) 1/6)
(* x -23/360)
-23/360
1/6
(/ (* 1/6 (* x (* x x))) (* x (+ (* x (* x 1/3)) 1)))
(* 1/6 (* x (* x x)))
1/6
(* x (* x x))
x
(* x x)
(* x (+ (* x (* x 1/3)) 1))
(+ (* x (* x 1/3)) 1)
(* x 1/3)
1/3
1

Outputs
(* x (/ x (/ 1 (+ (* x (* x -23/360)) 1/6))))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
x
(/ x (/ 1 (+ (* x (* x -23/360)) 1/6)))
(.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))
(/ 1 (+ (* x (* x -23/360)) 1/6))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
1
#s(literal 1 binary64)
(+ (* x (* x -23/360)) 1/6)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* x -23/360)
(*.f64 x #s(literal -23/360 binary64))
-23/360
#s(literal -23/360 binary64)
1/6
#s(literal 1/6 binary64)
(* (* x 1/6) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
x
1/6
#s(literal 1/6 binary64)
(/ (* 1/6 (* x (* x x))) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (* x (* x x)))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
1/6
#s(literal 1/6 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(/ (* x x) (/ 1 (+ (* x (* x -23/360)) 1/6)))
(.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(* x x)
(*.f64 x x)
x
(/ 1 (+ (* x (* x -23/360)) 1/6))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
1
#s(literal 1 binary64)
(+ (* x (* x -23/360)) 1/6)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* x -23/360)
(*.f64 x #s(literal -23/360 binary64))
-23/360
#s(literal -23/360 binary64)
1/6
#s(literal 1/6 binary64)
(/ (* 1/6 (* x (* x x))) (* x (+ (* x (* x 1/3)) 1)))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)))
(* 1/6 (* x (* x x)))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
1/6
#s(literal 1/6 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(* x (+ (* x (* x 1/3)) 1))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)))
(+ (* x (* x 1/3)) 1)
(fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))
(* x 1/3)
(*.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
1
#s(literal 1 binary64)

localize4.4s (22.9%)

Memory

-20.0MiB live, 99.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/3 binary64))
✓	accuracy	82.4%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 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 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
✓	accuracy	99.2%	(*.f64 x #s(literal -23/360 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	82.4%	(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
✓	accuracy	99.8%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 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 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
✓	accuracy	99.2%	(*.f64 x #s(literal -23/360 binary64))

Samples

4.3s

256×

valid

Compiler

Compiled 169 to 25 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.2s

ival-mult: 4.2s (99.5% of total)

const: 10.0ms (0.2% of total)

ival-div: 7.0ms (0.2% of total)

ival-add: 2.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (/ x (/ 1 (+ (* x (* x -23/360)) 1/6)))>
#<alt (* x (/ x (/ 1 (+ (* x (* x -23/360)) 1/6))))>
#<alt (/ 1 (+ (* x (* x -23/360)) 1/6))>
#<alt (+ (* x (* x -23/360)) 1/6)>
#<alt (* (* x 1/6) x)>
#<alt (* x 1/6)>
#<alt (/ (* 1/6 (* x (* x x))) x)>
#<alt (* 1/6 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (/ (* x x) (/ 1 (+ (* x (* x -23/360)) 1/6)))>
#<alt (/ (* 1/6 (* x (* x x))) (* x (+ (* x (* x 1/3)) 1)))>
#<alt (* x -23/360)>
#<alt (* x 1/3)>

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 (* 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 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 (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 (* (pow x 2) (+ 1/6 (* -1/18 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/54 (pow x 2)) 1/18))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/54 (* -1/162 (pow x 2)))) 1/18))))>
#<alt 1/2>
#<alt (- 1/2 (* 3/2 (/ 1 (pow x 2))))>
#<alt (- (+ 1/2 (/ 9/2 (pow x 4))) (* 3/2 (/ 1 (pow x 2))))>
#<alt (- (+ 1/2 (/ 9/2 (pow x 4))) (+ (* 3/2 (/ 1 (pow x 2))) (* 27/2 (/ 1 (pow x 6)))))>
#<alt 1/2>
#<alt (- 1/2 (* 3/2 (/ 1 (pow x 2))))>
#<alt (- (+ 1/2 (/ 9/2 (pow x 4))) (* 3/2 (/ 1 (pow x 2))))>
#<alt (- (+ 1/2 (/ 9/2 (pow x 4))) (+ (* 3/2 (/ 1 (pow x 2))) (* 27/2 (/ 1 (pow x 6)))))>
#<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 (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>

Calls

42 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* x 1/3)
0.0ms	x	@	inf	(/ (* 1/6 (* x (* x x))) (* x (+ (* x (* x 1/3)) 1)))
0.0ms	x	@	inf	(* x -23/360)
0.0ms	x	@	inf	(* x 1/3)
0.0ms	x	@	-inf	(* x -23/360)

rewrite753.0ms (3.9%)

Memory

9.5MiB live, 683.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 322×	`-lowering-.f32`
5 322×	`-lowering-.f64`
4 984×	`accelerator-lowering-fma.f32`
4 984×	`accelerator-lowering-fma.f64`
3 982×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	98
1	121	90
2	763	90
3	7847	90
0	8625	84

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 1 116

Calls

Call 1

Inputs
(/ x (/ 1 (+ (* x (* x -23/360)) 1/6)))
(* x (/ x (/ 1 (+ (* x (* x -23/360)) 1/6))))
(/ 1 (+ (* x (* x -23/360)) 1/6))
(+ (* x (* x -23/360)) 1/6)
(* (* x 1/6) x)
(* x 1/6)
(/ (* 1/6 (* x (* x x))) x)
(* 1/6 (* x (* x x)))
(* x (* x x))
(* x x)
(/ (* x x) (/ 1 (+ (* x (* x -23/360)) 1/6)))
(/ (* 1/6 (* x (* x x))) (* x (+ (* x (* x 1/3)) 1)))
(* x -23/360)
(* x 1/3)

Outputs
(+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 #s(literal -23/360 binary64) (.f64 x x))))
(+.f64 (.f64 x (.f64 #s(literal -23/360 binary64) (.f64 x x))) (.f64 x #s(literal 1/6 binary64)))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/6 binary64)) (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x x) #s(literal 23/360 binary64))))
(+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x x) #s(literal 23/360 binary64))) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/6 binary64)))
(+.f64 (.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 (.f64 (.f64 x x) #s(literal 23/360 binary64)) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 23/360 binary64)) (-.f64 #s(literal 0 binary64) x)) (.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #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 (.f64 #s(literal -23/360 binary64) (.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/6 binary64) (.f64 x (.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(fma.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 #s(literal -23/360 binary64) (.f64 x x))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 #s(literal -23/360 binary64) (.f64 x x))) (.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 (.f64 x #s(literal -23/360 binary64)) (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 #s(literal -23/360 binary64) (.f64 x x)) x (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (.f64 x (.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(fma.f64 (.f64 x x) (.f64 x #s(literal -23/360 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal -23/360 binary64) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/6 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (*.f64 x x) #s(literal 23/360 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 x x) #s(literal 23/360 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/6 binary64)))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64) (.f64 x (.f64 #s(literal -23/360 binary64) (.f64 x x))))
(fma.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) x) (.f64 (.f64 (*.f64 x x) #s(literal 23/360 binary64)) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (.f64 (.f64 x x) #s(literal 23/360 binary64)) (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (.f64 x (.f64 #s(literal -23/360 binary64) (.f64 x x))) #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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #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 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 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 (fma.f64 #s(literal 529/129600 binary64) (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/36 binary64)))))
(/.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) 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 0 binary64) 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 x) #s(literal 23/360 binary64) #s(literal -1/6 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64)) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 x (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) (-.f64 (.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64)))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 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 (fma.f64 #s(literal 529/129600 binary64) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(/.f64 (.f64 x (fma.f64 #s(literal 529/129600 binary64) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/36 binary64))) (.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 x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64)) #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 #s(literal 1 binary64) x)))
(/.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/36 binary64)) #s(literal 1 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 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 0 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 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 529/129600 binary64) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/36 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 #s(literal 1 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 #s(literal 1 binary64) x) (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 #s(literal 1 binary64) (fma.f64 #s(literal 529/129600 binary64) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/36 binary64))) (.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 #s(literal 1 binary64) x) (-.f64 #s(literal 0 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 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 529/129600 binary64) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/36 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 (.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64))))) (.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (.f64 x x)))))
(/.f64 (.f64 x (-.f64 #s(literal 0 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 #s(literal 0 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 #s(literal 0 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 #s(literal 1 binary64) (-.f64 #s(literal 0 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 #s(literal 0 binary64) (fma.f64 #s(literal 529/129600 binary64) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/36 binary64)))) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))
(/.f64 (.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 529/129600 binary64) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/36 binary64)))) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))) (-.f64 #s(literal 0 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 (-.f64 #s(literal 0 binary64) x) (fma.f64 #s(literal 529/129600 binary64) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 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) (-.f64 (.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 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 #s(literal -1 binary64) (-.f64 #s(literal 0 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 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 529/129600 binary64) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 529/129600 binary64) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/36 binary64)))) (.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))))
(/.f64 (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64))))) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(/.f64 (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64))))) (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (.f64 x x)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64))))) (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 #s(literal -23/360 binary64) (.f64 x x)))))
(/.f64 (.f64 (fma.f64 #s(literal -23/360 binary64) (.f64 x x) #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64)) (-.f64 #s(literal 0 binary64) x)) (.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)) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 529/129600 binary64) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/36 binary64)) (-.f64 #s(literal 0 binary64) x)) (.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
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(.f64 (.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 #s(literal 1/6 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64)))) (fma.f64 x (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)))))) (fma.f64 x (-.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/3 binary64))))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/9 binary64)))))))
(.f64 (/.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/3 binary64) #s(literal -1 binary64))))) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64))) #s(literal -1 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/9 binary64)))))) (fma.f64 (.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(/.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal -23/360 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -23/360 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -23/360 binary64)) #s(literal -1 binary64))
(*.f64 x #s(literal -23/360 binary64))
(.f64 #s(literal 1 binary64) (.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 1/3 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/3 binary64)) #s(literal -1 binary64))
(*.f64 x #s(literal 1/3 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) x)
(.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))

simplify434.0ms (2.3%)

Memory

10.2MiB live, 838.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 100×	`accelerator-lowering-fma.f32`
11 100×	`accelerator-lowering-fma.f64`
2 952×	`-lowering-.f32`
2 952×	`-lowering-.f64`
2 692×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	1050
1	270	1050
2	694	1044
3	1717	1044
4	4089	1044
5	7074	1044
0	8270	996

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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))
(* 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 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)
(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))
(* (pow x 2) (+ 1/6 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/54 (pow x 2)) 1/18))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/54 (* -1/162 (pow x 2)))) 1/18))))
1/2
(- 1/2 (* 3/2 (/ 1 (pow x 2))))
(- (+ 1/2 (/ 9/2 (pow x 4))) (* 3/2 (/ 1 (pow x 2))))
(- (+ 1/2 (/ 9/2 (pow x 4))) (+ (* 3/2 (/ 1 (pow x 2))) (* 27/2 (/ 1 (pow x 6)))))
1/2
(- 1/2 (* 3/2 (/ 1 (pow x 2))))
(- (+ 1/2 (/ 9/2 (pow x 4))) (* 3/2 (/ 1 (pow x 2))))
(- (+ 1/2 (/ 9/2 (pow x 4))) (+ (* 3/2 (/ 1 (pow x 2))) (* 27/2 (/ 1 (pow x 6)))))
(* -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)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)

Outputs
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(* x (+ 1/6 (* -23/360 (pow x 2))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(* -23/360 (pow x 3))
(fma.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64))) #s(literal 0 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(* -23/360 (pow x 3))
(fma.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64))) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 0 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))))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -23/360 (pow x 4))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal 0 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -23/360 (pow x 4))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal 0 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
6
#s(literal 6 binary64)
(+ 6 (* 23/10 (pow x 2)))
(fma.f64 (*.f64 x 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 (.f64 x x) (fma.f64 x (*.f64 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)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 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 (pow x 3))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* 1/6 (pow x 3))
(.f64 x (.f64 #s(literal 1/6 binary64) (*.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))
(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))))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -23/360 (pow x 4))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal 0 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -23/360 (pow x 4))
(.f64 x (fma.f64 x (.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal 0 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 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 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/18 binary64)) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/54 (pow x 2)) 1/18))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/54 binary64)) #s(literal -1/18 binary64)) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/54 (* -1/162 (pow x 2)))) 1/18))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/162 binary64)) #s(literal 1/54 binary64)) #s(literal -1/18 binary64)) #s(literal 1/6 binary64))))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 3/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 x x)))
(- (+ 1/2 (/ 9/2 (pow x 4))) (* 3/2 (/ 1 (pow x 2))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/2 binary64) (.f64 x x))) (/.f64 #s(literal 9/2 binary64) (.f64 x (.f64 x (.f64 x x)))))
(- (+ 1/2 (/ 9/2 (pow x 4))) (+ (* 3/2 (/ 1 (pow x 2))) (* 27/2 (/ 1 (pow x 6)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -27/2 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 3/2 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/2 binary64) (*.f64 x x)))
(- (+ 1/2 (/ 9/2 (pow x 4))) (* 3/2 (/ 1 (pow x 2))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/2 binary64) (.f64 x x))) (/.f64 #s(literal 9/2 binary64) (.f64 x (.f64 x (.f64 x x)))))
(- (+ 1/2 (/ 9/2 (pow x 4))) (+ (* 3/2 (/ 1 (pow x 2))) (* 27/2 (/ 1 (pow x 6)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -27/2 binary64) (.f64 x (.f64 (.f64 x 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))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))

eval219.0ms (1.1%)

Memory: 29.5MiB live, 482.2MiB allocated
Compiler: Compiled 37 137 to 2 795 computations (92.5% saved)

prune153.0ms (0.8%)

Memory

-4.6MiB live, 494.4MiB allocated

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	1 676	8	1 684
Fresh	3	3	6
Picked	4	1	5
Done	0	4	4
Total	1 683	16	1 699

Accuracy

100.0%

Counts

1 699 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x x) (.f64 x (.f64 x #s(literal 1/6 binary64))))
▶	99.6%	(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -23/360 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
	99.6%	(/.f64 (.f64 (.f64 x (fma.f64 #s(literal 529/129600 binary64) (.f64 x (.f64 x (.f64 x 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 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/36 binary64)) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x #s(literal 1/6 binary64)))))
▶	82.0%	(/.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 6 binary64)))
▶	99.3%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
	99.3%	(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))
	99.6%	(.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
	99.4%	(.f64 (/.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 1/6 binary64))
✓	99.3%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	99.4%	(*.f64 x (/.f64 x #s(literal 6 binary64)))
✓	99.7%	(.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))))
✓	99.6%	(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
✓	99.7%	(.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))))
✓	99.3%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
▶	4.2%	#s(literal 1/2 binary64)

Compiler

Compiled 494 to 219 computations (55.7% saved)

simplify744.0ms (3.9%)

Memory

15.5MiB live, 955.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 x (*.f64 x x)))
✓	cost-diff	640	(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -23/360 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 6 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	1024	(/.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 6 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	384	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))
✓	cost-diff	640	(fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x x) (.f64 x (.f64 x #s(literal 1/6 binary64))))

Rules

19 914×	`accelerator-lowering-fma.f32`
19 914×	`accelerator-lowering-fma.f64`
6 760×	`-lowering-.f32`
6 760×	`-lowering-.f64`
3 072×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	119
1	61	111
2	164	111
3	312	111
4	644	111
5	1556	111
6	2249	111
7	3012	111
8	3422	111
9	3970	111
10	4895	111
11	5427	111
12	5696	111
13	5835	111
14	5954	111
15	6070	111
0	8144	106

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* x x)) (* x (* x 1/6)))
(* (* x x) (+ (* x (* x -11/15120)) -23/360))
(* x x)
x
(+ (* x (* x -11/15120)) -23/360)
(* x -11/15120)
-11/15120
-23/360
(* x (* x 1/6))
(* x 1/6)
1/6
1/2
(/ (* x x) 6)
(* x x)
x
6
(/ (* x (* x x)) (* x 6))
(* x (* x x))
x
(* x x)
(* x 6)
6
(+ (* (* x (* x (* x x))) -23/360) (* x (* x 1/6)))
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
-23/360
(* x (* x 1/6))
(* x 1/6)
1/6

Outputs
(+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* x x)) (* x (* x 1/6)))
(.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))))
(* (* x x) (+ (* x (* x -11/15120)) -23/360))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))
(* x x)
(*.f64 x x)
x
(+ (* x (* x -11/15120)) -23/360)
(fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* x -11/15120)
(*.f64 x #s(literal -11/15120 binary64))
-11/15120
#s(literal -11/15120 binary64)
-23/360
#s(literal -23/360 binary64)
(* x (* x 1/6))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
(/ (* x x) 6)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* x x)
(*.f64 x x)
x
6
#s(literal 6 binary64)
(/ (* x (* x x)) (* x 6))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(* x 6)
(*.f64 x #s(literal 6 binary64))
6
#s(literal 6 binary64)
(+ (* (* x (* x (* x x))) -23/360) (* x (* x 1/6)))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
x
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
-23/360
#s(literal -23/360 binary64)
(* x (* x 1/6))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)

localize299.0ms (1.6%)

Memory

-30.1MiB live, 182.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(*.f64 x #s(literal 6 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	82.5%	(/.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 6 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.8%	(*.f64 x #s(literal -11/15120 binary64))
✓	accuracy	99.6%	(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))

Samples

267.0ms

256×

valid

Compiler

Compiled 128 to 24 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 253.0ms

const: 186.0ms (73.4% of total)

ival-mult: 60.0ms (23.7% of total)

ival-div: 3.0ms (1.2% of total)

ival-add: 3.0ms (1.2% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* x x)) (* x (* x 1/6)))>
#<alt (* (* x x) (+ (* x (* x -11/15120)) -23/360))>
#<alt (* x x)>
#<alt (+ (* x (* x -11/15120)) -23/360)>
#<alt (/ (* x x) 6)>
#<alt (/ (* x (* x x)) (* x 6))>
#<alt (* x (* x x))>
#<alt (* x 6)>
#<alt (+ (* (* x (* x (* x x))) -23/360) (* x (* x 1/6)))>
#<alt (* x (* x (* x x)))>
#<alt (* x 1/6)>
#<alt (* x -11/15120)>
#<alt (* x (* x 1/6))>

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) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* -11/15120 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -23/360 (pow x 2))>
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))>
#<alt (* -11/15120 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (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 -23/360>
#<alt (- (* -11/15120 (pow x 2)) 23/360)>
#<alt (- (* -11/15120 (pow x 2)) 23/360)>
#<alt (- (* -11/15120 (pow x 2)) 23/360)>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -11/15120 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (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 (* 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 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 (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 6 x)>
#<alt (* 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 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 (* 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 (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 x)>
#<alt (* -11/15120 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))>

Calls

39 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+ (* (* x (* x (* x x))) -23/360) (* x (* x 1/6)))
0.0ms	x	@	-inf	(* x -11/15120)
0.0ms	x	@	inf	(* x 6)
0.0ms	x	@	-inf	(* x 6)
0.0ms	x	@	inf	(* x -11/15120)

rewrite759.0ms (4%)

Memory

-27.2MiB live, 1 117.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

17 034×	`accelerator-lowering-fma.f32`
17 034×	`accelerator-lowering-fma.f64`
5 892×	`-lowering-.f32`
5 892×	`-lowering-.f64`
3 346×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	87
1	114	79
2	886	79
0	8624	74

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 668

Calls

Call 1

Inputs
(+ (* (* (* x x) (+ (* x (* x -11/15120)) -23/360)) (* x x)) (* x (* x 1/6)))
(* (* x x) (+ (* x (* x -11/15120)) -23/360))
(* x x)
(+ (* x (* x -11/15120)) -23/360)
(/ (* x x) 6)
(/ (* x (* x x)) (* x 6))
(* x (* x x))
(* x 6)
(+ (* (* x (* x (* x x))) -23/360) (* x (* x 1/6)))
(* x (* x (* x x)))
(* x 1/6)
(* x -11/15120)
(* x (* x 1/6))

Outputs
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal -1/6 binary64)))) (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal -1/6 binary64)))))))
(+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(+.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64))))) (.f64 x (.f64 #s(literal -23/360 binary64) (.f64 x (*.f64 x x)))))
(-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal -1/6 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal -1/6 binary64))))))
(-.f64 (/.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x)) (.f64 (.f64 x x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (.f64 (.f64 x x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))))
(fma.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (.f64 x x) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))) #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x x) #s(literal -11/15120 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (neg.f64 (/.f64 #s(literal 1/6 binary64) x)) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1/6 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal -1/6 binary64)))) (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal -1/6 binary64)))))))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 (/.f64 #s(literal 1/6 binary64) x) (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 (/.f64 #s(literal 1/6 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -11/15120 binary64)))) (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) x (.f64 x (.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) (.f64 x (.f64 x x)) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (.f64 x x) x) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) (pow.f64 (/.f64 x (.f64 x x)) #s(literal -1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal -11/15120 binary64) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(fma.f64 (/.f64 (.f64 x x) x) (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 (/.f64 (.f64 x x) x) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))) (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)))) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal -1/6 binary64)))) (neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))) #s(literal -1/6 binary64)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x))) #s(literal -1 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) x) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))))))
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(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal 6 binary64))))
(.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) (.f64 x #s(literal -1/6 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal -11/15120 binary64))
(*.f64 #s(literal -11/15120 binary64) x)
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x #s(literal -6 binary64))) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(neg.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 6 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (*.f64 x #s(literal -6 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 #s(literal 6 binary64) x)))
(/.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 6 binary64) x))
(/.f64 (.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64))) x)
(/.f64 (neg.f64 (.f64 (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (.f64 x #s(literal -6 binary64)))
(/.f64 (.f64 (/.f64 (.f64 x x) x) x) #s(literal 6 binary64))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)) (.f64 x #s(literal -6 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 x #s(literal -6 binary64)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64)))) x)
(/.f64 (.f64 (/.f64 (.f64 x x) x) #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) x))
(/.f64 (.f64 (/.f64 (.f64 x x) x) (-.f64 #s(literal 0 binary64) x)) #s(literal -6 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))) (neg.f64 (/.f64 #s(literal 1/6 binary64) x)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1/6 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 (/.f64 #s(literal 1/6 binary64) x) (.f64 x (*.f64 x x)))
(.f64 (/.f64 #s(literal 1/6 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (*.f64 x x) x))
(.f64 (.f64 x #s(literal 1/6 binary64)) (pow.f64 (/.f64 x (*.f64 x x)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (/.f64 (.f64 x x) x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 6 binary64) (.f64 x (*.f64 x x))) #s(literal -1 binary64)))
(.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x))
(.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) x)))
(.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) x))
(.f64 (.f64 (*.f64 x x) #s(literal -1/6 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) x)))
(.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (/.f64 x (.f64 x x)) #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) x) (*.f64 x #s(literal -1/6 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) x) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (*.f64 x #s(literal 6 binary64))))
(.f64 (/.f64 x (-.f64 #s(literal 0 binary64) x)) (.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 x (*.f64 x x)) #s(literal -6 binary64)))
(.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) x)) (*.f64 x #s(literal -1/6 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (.f64 x #s(literal 1/6 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 6 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 6 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal 6 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/6 binary64))
(.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (neg.f64 (/.f64 #s(literal 1/6 binary64) x)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) x)) (.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1/6 binary64) x) x) (*.f64 x x))
(.f64 (.f64 (/.f64 #s(literal 1/6 binary64) x) (*.f64 x x)) x)
(.f64 (.f64 (/.f64 #s(literal 1/6 binary64) x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (/.f64 (*.f64 x x) x) x) #s(literal 1/6 binary64))

simplify249.0ms (1.3%)

Memory

15.9MiB live, 481.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 416×	`accelerator-lowering-fma.f32`
8 416×	`accelerator-lowering-fma.f64`
3 024×	`-lowering-.f32`
3 024×	`-lowering-.f64`
1 638×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	850
1	124	850
2	364	848
3	954	848
4	2128	848
5	5424	848
0	8185	806

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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) (- (* -11/15120 (pow x 2)) 23/360))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (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)
-23/360
(- (* -11/15120 (pow x 2)) 23/360)
(- (* -11/15120 (pow x 2)) 23/360)
(- (* -11/15120 (pow x 2)) 23/360)
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 2))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (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))
(* 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 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)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 6 x)
(* 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 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)
(* 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)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 x)
(* -11/15120 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))

Outputs
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 0 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 0 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(* -11/15120 (pow x 6))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -11/15120 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 0 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 0 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(* -11/15120 (pow x 6))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal -11/15120 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 0 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 0 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(* -23/360 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -23/360 binary64) #s(literal 0 binary64))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -11/15120 (pow x 4))
(fma.f64 #s(literal -11/15120 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -11/15120 (pow x 4))
(fma.f64 #s(literal -11/15120 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 x (fma.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
-23/360
#s(literal -23/360 binary64)
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(- (* -11/15120 (pow x 2)) 23/360)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* -11/15120 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal 0 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* -11/15120 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal 0 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* -1 (* (pow x 2) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -11/15120 binary64) #s(literal -23/360 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(pow x 3)
(*.f64 x (fma.f64 x x #s(literal 0 binary64)))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(* -23/360 (pow x 4))
(fma.f64 #s(literal -23/360 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(* -23/360 (pow x 4))
(fma.f64 #s(literal -23/360 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(pow x 4)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 4)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 4)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 4)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 4)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 4)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 4)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 4)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 4)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 4)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 4)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 4)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* -11/15120 x)
(fma.f64 x #s(literal -11/15120 binary64) #s(literal 0 binary64))
(* -11/15120 x)
(fma.f64 x #s(literal -11/15120 binary64) #s(literal 0 binary64))
(* -11/15120 x)
(fma.f64 x #s(literal -11/15120 binary64) #s(literal 0 binary64))
(* -11/15120 x)
(fma.f64 x #s(literal -11/15120 binary64) #s(literal 0 binary64))
(* -11/15120 x)
(fma.f64 x #s(literal -11/15120 binary64) #s(literal 0 binary64))
(* -11/15120 x)
(fma.f64 x #s(literal -11/15120 binary64) #s(literal 0 binary64))
(* -11/15120 x)
(fma.f64 x #s(literal -11/15120 binary64) #s(literal 0 binary64))
(* -11/15120 x)
(fma.f64 x #s(literal -11/15120 binary64) #s(literal 0 binary64))
(* -11/15120 x)
(fma.f64 x #s(literal -11/15120 binary64) #s(literal 0 binary64))
(* -11/15120 x)
(fma.f64 x #s(literal -11/15120 binary64) #s(literal 0 binary64))
(* -11/15120 x)
(fma.f64 x #s(literal -11/15120 binary64) #s(literal 0 binary64))
(* -11/15120 x)
(fma.f64 x #s(literal -11/15120 binary64) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))

eval137.0ms (0.7%)

Memory: 13.7MiB live, 286.0MiB allocated
Compiler: Compiled 25 633 to 1 702 computations (93.4% saved)

prune147.0ms (0.8%)

Memory

9.0MiB live, 285.3MiB allocated

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	1 129	1	1 130
Fresh	2	4	6
Picked	1	4	5
Done	0	5	5
Total	1 132	14	1 146

Accuracy

100.0%

Counts

1 146 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x x) (.f64 x (.f64 x #s(literal 1/6 binary64))))
✓	99.6%	(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -23/360 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
	99.6%	(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/36 binary64)) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x #s(literal 1/6 binary64)))))
✓	99.3%	(/.f64 (*.f64 x x) #s(literal 6 binary64))
	99.4%	(/.f64 x (/.f64 #s(literal 6 binary64) x))
	99.6%	(.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
	99.4%	(.f64 (/.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 1/6 binary64))
✓	99.3%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	99.4%	(*.f64 x (/.f64 x #s(literal 6 binary64)))
✓	99.7%	(.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))))
✓	99.6%	(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
✓	99.7%	(.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))))
✓	99.3%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	4.2%	#s(literal 1/2 binary64)

Compiler

Compiled 643 to 210 computations (67.3% saved)

regimes15.0ms (0.1%)

Memory

-6.7MiB live, 31.5MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) 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 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
(/.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 6 binary64)))
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64)))) x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -23/360 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.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))))
(.f64 (/.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 1/6 binary64))
(.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x x) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(.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))))
(/.f64 (.f64 (.f64 x (fma.f64 #s(literal 529/129600 binary64) (.f64 x (.f64 x (.f64 x x))) #s(literal -1/36 binary64))) x) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 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))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64)))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) #s(literal 1/36 binary64)) (.f64 (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x #s(literal 1/6 binary64)))))

Outputs

(*.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))))

Calls

2 calls:

8.0ms	x
6.0ms	(/.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)

regimes13.0ms (0.1%)

Memory

-17.2MiB live, 24.2MiB allocated

Counts

20 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) 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 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
(/.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 6 binary64)))
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64)))) x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -23/360 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.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))))
(.f64 (/.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 1/6 binary64))
(.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -11/15120 binary64)) #s(literal -23/360 binary64))) (.f64 x x) (.f64 x (.f64 x #s(literal 1/6 binary64))))

Outputs
(.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 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
99.7%	1	`x`
99.7%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes9.0ms (0%)

Memory

14.4MiB live, 14.4MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) 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 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
(/.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 6 binary64)))
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64)))) x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -23/360 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.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))))
(.f64 (/.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/3 binary64) #s(literal 1 binary64))) #s(literal 1/6 binary64))

Outputs
(.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))))

Calls

2 calls:

4.0ms	x
3.0ms	(/.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)

regimes8.0ms (0%)

Memory

15.4MiB live, 15.4MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) 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 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x x))) x)
(/.f64 (.f64 x (.f64 x x)) (*.f64 x #s(literal 6 binary64)))
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (.f64 x (.f64 x (.f64 x #s(literal -23/360 binary64)))) x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -23/360 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64))))

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

Calls

2 calls:

4.0ms	x
3.0ms	(/.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)

regimes6.0ms (0%)

Memory

-27.0MiB live, 11.5MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) 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))))

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

Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) 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
99.4%	1	`x`
99.4%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes3.0ms (0%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) 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
99.3%	1	`x`
99.3%	1	`(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)

Outputs
#s(literal 1/2 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)

simplify10.0ms (0.1%)

Memory

-6.6MiB live, 28.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	78
1	48	78

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.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))))
(.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(.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))))
(.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
(.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 #s(literal 1/6 binary64) (.f64 x x))
#s(literal 1/2 binary64)

Outputs
(.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))))
(.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(.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))))
(.f64 (fma.f64 x (.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 x (*.f64 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 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/2 binary64)

soundness940.0ms (4.9%)

Memory

0.6MiB live, 642.0MiB allocated

Rules

18 358×	`accelerator-lowering-fma.f32`
18 358×	`accelerator-lowering-fma.f64`
16 412×	`accelerator-lowering-fma.f32`
16 412×	`accelerator-lowering-fma.f64`
11 100×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	1050
1	270	1050
2	694	1044
3	1717	1044
4	4089	1044
5	7074	1044
0	8270	996
0	105	408
1	301	384
2	829	384
3	2520	348
4	5523	342
0	8535	318
0	31	192
1	187	192
2	1416	192
0	8172	170
0	166	1944
1	507	1938
2	1660	1914
3	5185	1906
0	8564	1815

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×	node limit

Compiler

Compiled 219 to 123 computations (43.8% saved)

preprocess99.0ms (0.5%)

Memory: 2.0MiB live, 183.0MiB allocated
Remove: (abs x)
Compiler: Compiled 312 to 160 computations (48.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	11	25
1	32	22
2	80	21
3	228	21
4	575	21
5	786	21
6	812	21
7	850	21
8	879	21
0	5	7
1	10	7
2	17	7
3	29	7
4	54	7
5	84	7
6	140	7
7	230	7
8	409	7
9	671	7
10	681	7
11	719	7
12	748	7
0	748	7

Iter	Nodes	Cost
0	5	16
1	10	16
2	17	16
3	29	16
4	54	16
5	84	16
6	140	16
7	230	16
8	409	16
9	671	16
10	681	16
11	719	16
12	748	16
0	748	16

Iter	Nodes	Cost
0	11	25
1	32	22
2	80	21
3	228	21
4	575	21
5	786	21
6	812	21
7	850	21
8	879	21
0	5	7
1	10	7
2	17	7
3	29	7
4	54	7
5	84	7
6	140	7
7	230	7
8	409	7
9	671	7
10	681	7
11	719	7
12	748	7
0	748	7

Iter	Nodes	Cost
0	5	16
1	10	16
2	17	16
3	29	16
4	54	16
5	84	16
6	140	16
7	230	16
8	409	16
9	671	16
10	681	16
11	719	16
12	748	16
0	748	16

analyze2.0ms (0%)

sample5.3s (27.8%)

preprocess52.0ms (0.3%)

explain220.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify25.0ms (0.1%)

localize84.0ms (0.4%)

series4.0ms (0%)

rewrite352.0ms (1.8%)

simplify521.0ms (2.7%)

eval65.0ms (0.3%)

prune68.0ms (0.4%)

simplify69.0ms (0.4%)

localize127.0ms (0.7%)

series17.0ms (0.1%)

rewrite439.0ms (2.3%)

simplify630.0ms (3.3%)

eval117.0ms (0.6%)

prune187.0ms (1%)

simplify1.4s (7.3%)

localize4.4s (22.9%)

series8.0ms (0%)

rewrite753.0ms (3.9%)

simplify434.0ms (2.3%)

eval219.0ms (1.1%)

prune153.0ms (0.8%)

simplify744.0ms (3.9%)

localize299.0ms (1.6%)

series5.0ms (0%)

rewrite759.0ms (4%)

simplify249.0ms (1.3%)

eval137.0ms (0.7%)

prune147.0ms (0.8%)

regimes15.0ms (0.1%)

regimes13.0ms (0.1%)

regimes9.0ms (0%)

regimes8.0ms (0%)

regimes6.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify10.0ms (0.1%)

soundness940.0ms (4.9%)

preprocess99.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	25
1	32	22
2	80	21
3	228	21
4	575	21
5	786	21
6	812	21
7	850	21
8	879	21
0	5	7
1	10	7
2	17	7
3	29	7
4	54	7
5	84	7
6	140	7
7	230	7
8	409	7
9	671	7
10	681	7
11	719	7
12	748	7
0	748	7

Iter	Nodes	Cost
0	5	16
1	10	16
2	17	16
3	29	16
4	54	16
5	84	16
6	140	16
7	230	16
8	409	16
9	671	16
10	681	16
11	719	16
12	748	16
0	748	16