Metrics for bug500, discussion (missed optimization)

analyze99.0ms (0.7%)

Memory

3.3MiB live, 161.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
37.5%	37.5%	62.5%	0%	0%	0%	0%	4
43.8%	43.7%	56.2%	0%	0%	0%	0%	5
46.9%	46.9%	53.1%	0%	0%	0%	0%	6
48.4%	48.4%	51.5%	0%	0%	0%	0%	7
49.2%	49.2%	50.8%	0%	0%	0%	0%	8
50.4%	50.4%	49.6%	0%	0%	0%	0%	9
51%	51%	49%	0%	0%	0%	0%	10
51.3%	51.2%	48.7%	0%	0%	0%	0%	11
51.3%	51.3%	48.7%	0%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample3.7s (26.2%)

Memory

48.3MiB live, 3 741.2MiB allocated

Samples

2.0s	5 521×	2	valid
715.0ms	8 077×	1	exit
353.0ms	2 388×	1	valid
20.0ms	347×	0	valid
0.0ms	1×	5	exit

Precisions

Click to see histograms. Total time spent on operations: 2.4s

ival-log: 1.2s (50.5% of total)

ival-sinh: 720.0ms (29.8% of total)

ival-div: 258.0ms (10.7% of total)

adjust: 196.0ms (8.1% of total)

ival-true: 13.0ms (0.5% of total)

ival-assert: 7.0ms (0.3% of total)

Bogosity

preprocess188.0ms (1.3%)

Memory

8.7MiB live, 128.5MiB allocated

Algorithm

2×	egg-herbie

Rules

1 072×	`accelerator-lowering-fma.f32`
1 072×	`accelerator-lowering-fma.f64`
784×	`-lowering-.f32`
784×	`-lowering-.f64`
690×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	26	18
2	64	18
3	175	16
4	507	16
5	1448	16
6	2413	16
7	2934	16
8	3206	16
9	3244	16
10	3246	16
11	3255	16
0	4	5
1	10	5
2	23	5
3	49	5
4	89	5
5	174	5
6	370	5
7	646	5
8	1122	5
9	1839	5
10	1949	5
11	2011	5
12	2184	5
13	2384	5
14	2458	5
15	2494	5
16	2494	5
17	2518	5
0	2518	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(log (/ (sinh x) x))

Outputs
(log (/ (sinh x) x))
(log.f64 (/.f64 (sinh.f64 x) x))

Call 2

Inputs
(log (/ (sinh x) x))
(log (/ (sinh (neg x)) (neg x)))
(neg (log (/ (sinh (neg x)) (neg x))))

Outputs
(log (/ (sinh x) x))
(log (/ (sinh (neg x)) (neg x)))
(log (/ (sinh x) x))
(neg (log (/ (sinh (neg x)) (neg x))))
(neg (log (/ (sinh x) x)))

Symmetry

(abs x)

explain239.0ms (1.7%)

Memory

5.9MiB live, 248.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
135	118	(4.974811430228403e-218)	-	`(log.f64 (/.f64 (sinh.f64 x) x))`
0	0	-	-	`(sinh.f64 x)`
0	0	-	-	`(/.f64 (sinh.f64 x) x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (/.f64 (sinh.f64 x) x))`	sensitivity	250	0
`log.f64`	`(log.f64 (/.f64 (sinh.f64 x) x))`	oflow-rescue	3	0
↳	`(sinh.f64 x)`	overflow	3
↳	`(/.f64 (sinh.f64 x) x)`	overflow	3

Confusion

	Predicted +	Predicted -
+	136	0
-	117	3

Precision

0.5375494071146245

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	136	0	0
-	117	0	3

Precision?

0.5375494071146245

Recall?

1.0

Freqs

test

number	freq
0	3
1	253

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

123.0ms	334×	2	valid
69.0ms	164×	1	valid
1.0ms	14×	0	valid

Compiler

Compiled 40 to 20 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 172.0ms

ival-log: 64.0ms (37.2% of total)

ival-div: 60.0ms (34.9% of total)

ival-sinh: 41.0ms (23.9% of total)

adjust: 6.0ms (3.5% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.5%	(log.f64 (/.f64 (sinh.f64 x) x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify115.0ms (0.8%)

Memory

-8.8MiB live, 72.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(sinh.f64 x)
✓	cost-diff	(/.f64 (sinh.f64 x) x)
✓	cost-diff	(log.f64 (/.f64 (sinh.f64 x) x))

Rules

1 072×	`accelerator-lowering-fma.f32`
1 072×	`accelerator-lowering-fma.f64`
784×	`-lowering-.f32`
784×	`-lowering-.f64`
602×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
1	10	12
2	23	12
3	49	12
4	89	12
5	174	12
6	370	12
7	646	12
8	1122	12
9	1839	12
10	1949	12
11	2011	12
12	2184	12
13	2384	12
14	2458	12
15	2494	12
16	2494	12
17	2518	12
0	2518	12

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(log (/ (sinh x) x))
(/ (sinh x) x)
(sinh x)
x

Outputs
(log (/ (sinh x) x))
(log.f64 (/.f64 (sinh.f64 x) x))
(/ (sinh x) x)
(/.f64 (sinh.f64 x) x)
(sinh x)
(sinh.f64 x)
x

localize79.0ms (0.6%)

Memory

26.9MiB live, 104.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (sinh.f64 x) x)
✓	accuracy	100.0%	(sinh.f64 x)
✓	accuracy	50.6%	(log.f64 (/.f64 (sinh.f64 x) x))

Samples

59.0ms	167×	2	valid
11.0ms	82×	1	valid
0.0ms	7×	0	valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-log: 34.0ms (56% of total)

ival-sinh: 19.0ms (31.3% of total)

ival-div: 5.0ms (8.2% of total)

adjust: 3.0ms (4.9% of total)

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

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

series132.0ms (0.9%)

Memory

-21.5MiB live, 99.7MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (log (/ (sinh x) x))>
#<alt (/ (sinh x) x)>
#<alt (sinh x)>

Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt (* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>

Calls

9 calls:

Time	Variable		Point	Expression
67.0ms	x	@	-inf	(log (/ (sinh x) x))
63.0ms	x	@	inf	(log (/ (sinh x) x))
2.0ms	x	@	0	(log (/ (sinh x) x))
0.0ms	x	@	0	(/ (sinh x) x)
0.0ms	x	@	0	(sinh x)

rewrite248.0ms (1.8%)

Memory

-0.9MiB live, 353.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 024×	`-lowering-.f32`
4 024×	`-lowering-.f64`
3 684×	`/-lowering-/.f32`
3 684×	`/-lowering-/.f64`
2 016×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	11
1	20	11
2	121	11
3	926	11
0	8559	11

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 444

Calls

Call 1

Inputs
(log (/ (sinh x) x))
(/ (sinh x) x)
(sinh x)

Outputs
(log.f64 (/.f64 (sinh.f64 x) x))
(+.f64 (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal 0 binary64))
(+.f64 (log.f64 (sinh.f64 x)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (neg.f64 (sinh.f64 x))) (neg.f64 (log.f64 (neg.f64 x))))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sinh.f64 x) x)))
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) x)))
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x x))))
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (neg.f64 (log.f64 (+.f64 x x))))
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 (sinh.f64 x) (+.f64 x x))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (sinh.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal -1 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (sinh.f64 x) x))))
(+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (neg.f64 (/.f64 x (sinh.f64 x))))))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (sinh.f64 x)) (neg.f64 (log.f64 (neg.f64 x)))))
(+.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x)))))
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (log.f64 (neg.f64 (sinh.f64 x))))
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (log.f64 (*.f64 (sinh.f64 x) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))))
(+.f64 (.f64 (log.f64 (/.f64 x (.f64 (sinh.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))
(+.f64 (neg.f64 (log.f64 (/.f64 x (*.f64 (sinh.f64 x) #s(literal 2 binary64))))) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (.f64 (sinh.f64 x) #s(literal 2 binary64))))) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (+.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (sinh.f64 x)))) (neg.f64 (log.f64 (neg.f64 x))))
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
(-.f64 (log.f64 (neg.f64 (sinh.f64 x))) (log.f64 (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (sinh.f64 x))))
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (+.f64 x x)))
(-.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 (sinh.f64 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 x (sinh.f64 x)))))
(-.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64))) (log.f64 (-.f64 (neg.f64 x) x)))
(-.f64 (log.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))))) (log.f64 (*.f64 (+.f64 x x) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))))))
(-.f64 (log.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (log.f64 (.f64 (+.f64 x x) (.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(-.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))))
(-.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) x)) (log.f64 #s(literal -2 binary64)))
(-.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x))))))) (/.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (/.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (log.f64 (neg.f64 (sinh.f64 x))) #s(literal 2 binary64)) (log.f64 (.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x)))) (/.f64 (pow.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 (neg.f64 (sinh.f64 x)) (neg.f64 x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (log.f64 (/.f64 x (sinh.f64 x)))))
(-.f64 (+.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (sinh.f64 x)))) (log.f64 (neg.f64 x)))
(-.f64 (+.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (neg.f64 (/.f64 x (sinh.f64 x)))))
(-.f64 (+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x))) (log.f64 #s(literal 2 binary64)))
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))))
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))))
(-.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)))) (log.f64 #s(literal -2 binary64)))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 (sinh.f64 x)))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal 0 binary64))
(fma.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 (sinh.f64 x)))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 (neg.f64 (log.f64 (sinh.f64 x))) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (sinh.f64 x))))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) (log.f64 #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (sinh.f64 x))) (neg.f64 (log.f64 x)))
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(/.f64 (neg.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (.f64 (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x))) (neg.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) (cosh.f64 x)))
(/.f64 (fma.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64) (pow.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))) (.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sinh.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (sinh.f64 x))))))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64)) (.f64 (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64)))) (-.f64 (.f64 (exp.f64 x) #s(literal 1/2 binary64)) (.f64 (exp.f64 (neg.f64 x)) #s(literal -1/2 binary64))))
(pow.f64 (sinh.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64))
(*.f64 (sinh.f64 x) #s(literal 1 binary64))
(.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 x) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sinh.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sinh.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (sinh.f64 x)))
(.f64 (.f64 (sinh.f64 x) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(.f64 #s(literal -2 binary64) (.f64 (sinh.f64 x) #s(literal -1/2 binary64)))
(.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 x) #s(literal 2 binary64)))
(.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(.f64 (cosh.f64 x) (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 1/4 binary64))
(.f64 (-.f64 (.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1/8 binary64)) (.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1/4 binary64) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(.f64 (.f64 (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))))
(.f64 (.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))))
(.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 x))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))))

simplify404.0ms (2.9%)

Memory

19.1MiB live, 487.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 092×	`accelerator-lowering-fma.f32`
16 092×	`accelerator-lowering-fma.f64`
4 562×	`-lowering-.f32`
4 562×	`-lowering-.f64`
2 156×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	394
1	157	390
2	395	384
3	1186	384
4	2106	384
5	3935	384
6	4551	380
7	4952	380
8	6424	380
0	8057	362

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))

Outputs
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (log (/ 1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) (log.f64 x))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (log.f64 (neg.f64 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (log.f64 (neg.f64 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (log.f64 (neg.f64 x)))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) (log.f64 (neg.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) x) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))) x)
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

eval92.0ms (0.7%)

Memory: -16.5MiB live, 112.9MiB allocated
Compiler: Compiled 9 211 to 1 610 computations (82.5% saved)

prune61.0ms (0.4%)

Memory

13.3MiB live, 134.4MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	470	10	480
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	470	11	481

Accuracy

98.8%

Counts

481 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.5%	(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) x)))
▶	97.2%	(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
▶	97.5%	(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
	97.2%	(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
▶	97.3%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
▶	50.5%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
	49.6%	(log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
▶	49.5%	(log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
	49.4%	(log.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓	50.5%	(log.f64 (/.f64 (sinh.f64 x) x))
	44.1%	(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sinh.f64 x)))

Compiler

Compiled 244 to 160 computations (34.4% saved)

simplify454.0ms (3.3%)

Memory

-20.0MiB live, 428.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sinh.f64 x)
✓	cost-diff	0	(/.f64 x (sinh.f64 x))
✓	cost-diff	0	(log.f64 (/.f64 x (sinh.f64 x)))
✓	cost-diff	0	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
✓	cost-diff	64	(log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))

Rules

14 132×	`accelerator-lowering-fma.f32`
14 132×	`accelerator-lowering-fma.f64`
3 744×	`-lowering-.f32`
3 744×	`-lowering-.f64`
1 620×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	213
1	112	213
2	330	213
3	744	213
4	1296	213
5	1886	213
6	2024	213
7	2377	213
8	2693	213
9	2838	213
10	3130	213
11	3715	213
12	4099	213
13	6269	213
14	7165	213
15	7206	213
16	7230	213
17	7236	213
18	7238	213
0	8073	190

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)))
x
(* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))
(+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)
(* x x)
(+ (* x (* x 1/2835)) -1/180)
(* x 1/2835)
1/2835
-1/180
1/6
(* 1/6 (* x x))
1/6
(* x x)
x
(* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6))
(* x x)
x
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6)
(+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)
(* x (+ (* (* x x) -1/37800) 1/2835))
(+ (* (* x x) -1/37800) 1/2835)
-1/37800
1/2835
-1/180
1/6
(log (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1))
(+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1)
(* x x)
x
(+ (* x (* x 1/120)) 1/6)
(* x 1/120)
1/120
1/6
1
(neg (log (/ x (sinh x))))
(log (/ x (sinh x)))
(/ x (sinh x))
x
(sinh x)

Outputs
(* x (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))
x
(* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))
(.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))
(+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))
(* x x)
(*.f64 x x)
(+ (* x (* x 1/2835)) -1/180)
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))
(* x 1/2835)
(*.f64 x #s(literal 1/2835 binary64))
1/2835
#s(literal 1/2835 binary64)
-1/180
#s(literal -1/180 binary64)
1/6
#s(literal 1/6 binary64)
(* 1/6 (* x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* x x)
(*.f64 x x)
x
(* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6))
(.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))
(* x x)
(*.f64 x x)
x
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))
(+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64))
(* x (+ (* (* x x) -1/37800) 1/2835))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))
(+ (* (* x x) -1/37800) 1/2835)
(fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))
-1/37800
#s(literal -1/37800 binary64)
1/2835
#s(literal 1/2835 binary64)
-1/180
#s(literal -1/180 binary64)
1/6
#s(literal 1/6 binary64)
(log (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1))
(log1p.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* x x)
(*.f64 x x)
x
(+ (* x (* x 1/120)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* x 1/120)
(*.f64 x #s(literal 1/120 binary64))
1/120
#s(literal 1/120 binary64)
1/6
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
(neg (log (/ x (sinh x))))
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
(log (/ x (sinh x)))
(log.f64 (/.f64 x (sinh.f64 x)))
(/ x (sinh x))
(/.f64 x (sinh.f64 x))
x
(sinh x)
(sinh.f64 x)

localize356.0ms (2.5%)

Memory

31.7MiB live, 533.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
✓	accuracy	100.0%	(/.f64 x (sinh.f64 x))
✓	accuracy	100.0%	(sinh.f64 x)
✓	accuracy	50.6%	(log.f64 (/.f64 x (sinh.f64 x)))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
✓	accuracy	99.8%	(*.f64 x #s(literal 1/120 binary64))
✓	accuracy	51.7%	(log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
✓	accuracy	99.6%	(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
✓	accuracy	99.3%	(.f64 x (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.6%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
✓	accuracy	99.5%	(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
✓	accuracy	99.3%	(*.f64 x #s(literal 1/2835 binary64))

Samples

198.0ms	159×	2	valid
84.0ms	82×	1	valid
11.0ms	8×	3	valid
2.0ms	7×	0	valid

Compiler

Compiled 193 to 36 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 227.0ms

ival-log: 72.0ms (31.7% of total)

ival-mult: 53.0ms (23.3% of total)

const: 26.0ms (11.4% of total)

ival-sinh: 23.0ms (10.1% of total)

adjust: 22.0ms (9.7% of total)

ival-add: 21.0ms (9.2% of total)

ival-div: 5.0ms (2.2% of total)

ival-neg: 3.0ms (1.3% of total)

exact: 1.0ms (0.4% of total)

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

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

series279.0ms (2%)

Memory

-30.2MiB live, 104.6MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (* x (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)))>
#<alt (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))>
#<alt (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)>
#<alt (* x x)>
#<alt (* 1/6 (* x x))>
#<alt (* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6))>
#<alt (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6)>
#<alt (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)>
#<alt (log (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1))>
#<alt (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1)>
#<alt (+ (* x (* x 1/120)) 1/6)>
#<alt (neg (log (/ x (sinh x))))>
#<alt (log (/ x (sinh x)))>
#<alt (/ x (sinh x))>
#<alt (sinh x)>
#<alt (* x 1/2835)>
#<alt (* x (+ (* (* x x) -1/37800) 1/2835))>
#<alt (+ (* (* x x) -1/37800) 1/2835)>
#<alt (* x 1/120)>

Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))>
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))>
#<alt (* 1/2835 (pow x 4))>
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 4))>
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 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 (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (* -1/37800 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))>
#<alt (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))>
#<alt (* -1/37800 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt -1/180>
#<alt (- (* 1/2835 (pow x 2)) 1/180)>
#<alt (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)>
#<alt (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)>
#<alt (* -1/37800 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/6480 (* 1/259200 (pow x 2)))) 1/180))))>
#<alt (+ (log 1/120) (* -4 (log (/ 1 x))))>
#<alt (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))>
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))>
#<alt (+ (log 1/120) (* -4 (log (/ -1 x))))>
#<alt (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))>
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/180 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/180 (* (pow x 2) (- (* 1/37800 (pow x 2)) 1/2835)))) 1/6))>
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6)))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 2 (/ x (- (exp x) (/ 1 (exp x)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* -1/37800 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* -1/37800 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))>
#<alt 1/2835>
#<alt (+ 1/2835 (* -1/37800 (pow x 2)))>
#<alt (+ 1/2835 (* -1/37800 (pow x 2)))>
#<alt (+ 1/2835 (* -1/37800 (pow x 2)))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>
#<alt (* 1/120 x)>

Calls

57 calls:

Time	Variable		Point	Expression
245.0ms	x	@	-inf	(neg (log (/ x (sinh x))))
19.0ms	x	@	inf	(neg (log (/ x (sinh x))))
3.0ms	x	@	0	(neg (log (/ x (sinh x))))
1.0ms	x	@	0	(log (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1))
1.0ms	x	@	inf	(* x (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)))

rewrite585.0ms (4.2%)

Memory

-130.5MiB live, 558.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 106×	`-lowering-.f32`
5 106×	`-lowering-.f64`
4 456×	`/-lowering-/.f32`
4 456×	`/-lowering-/.f64`
4 120×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	181
1	209	180
2	1651	180
0	8457	158

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 493

Calls

Call 1

Inputs
(* x (* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)))
(* x (+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6))
(+ (* (* x x) (+ (* x (* x 1/2835)) -1/180)) 1/6)
(* x x)
(* 1/6 (* x x))
(* (* x x) (+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6))
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)) 1/6)
(+ (* x (* x (+ (* (* x x) -1/37800) 1/2835))) -1/180)
(log (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1))
(+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1)
(+ (* x (* x 1/120)) 1/6)
(neg (log (/ x (sinh x))))
(log (/ x (sinh x)))
(/ x (sinh x))
(sinh x)
(* x 1/2835)
(* x (+ (* (* x x) -1/37800) 1/2835))
(+ (* (* x x) -1/37800) 1/2835)
(* x 1/120)

Outputs
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x x)))
(+.f64 (.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) x) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x x)) (.f64 (*.f64 x 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 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x x)))
(fma.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 (.f64 x 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 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x x)))
(fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x x) (.f64 (.f64 x 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 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x x)))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x x)))
(fma.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) x (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (pow.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (pow.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x x)) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x x))) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) #s(literal 3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))))) (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) (.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) (.f64 (.f64 x x) #s(literal 1/6 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) #s(literal 3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))))) (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (.f64 (.f64 x x) #s(literal 1/6 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) x) #s(literal 3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))))) (fma.f64 (.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) x) (.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) x) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) x) (.f64 (.f64 x x) #s(literal 1/6 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x x)) #s(literal 3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))))) (fma.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x x)) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/6 binary64))))))
(.f64 x (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))
(.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)) (.f64 x x))
(.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) x)
(+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))))
(+.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (*.f64 x #s(literal 1/6 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) (-.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (.f64 x #s(literal 1/6 binary64)))) (/.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (-.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (.f64 x #s(literal 1/6 binary64)))))
(fma.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x #s(literal 1/6 binary64)))
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x x)) (.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) x (.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))))
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(/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64))) (.f64 x (.f64 x x)) (.f64 #s(literal 1/22785532875 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/37800 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -1/37800 binary64))) (-.f64 (.f64 (.f64 x #s(literal 1/2835 binary64)) (.f64 x #s(literal 1/2835 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/37800 binary64))) (*.f64 x #s(literal 1/2835 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/37800 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -1/37800 binary64)))) (.f64 (.f64 x #s(literal 1/2835 binary64)) (.f64 x #s(literal 1/2835 binary64)))) (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/37800 binary64))) (.f64 x #s(literal 1/2835 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64))) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (.f64 (*.f64 x x) #s(literal -1/107163000 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal -1/8037225 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal -1/2835 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64)) x) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (.f64 (*.f64 x x) #s(literal -1/107163000 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal -1/8037225 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal -1/2835 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64))) (.f64 x (.f64 x x)) (.f64 #s(literal 1/22785532875 binary64) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/37800 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -1/37800 binary64))) (-.f64 (.f64 (.f64 x #s(literal 1/2835 binary64)) (.f64 x #s(literal 1/2835 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/37800 binary64))) (*.f64 x #s(literal 1/2835 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/37800 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -1/37800 binary64)))) (.f64 (.f64 x #s(literal 1/2835 binary64)) (.f64 x #s(literal 1/2835 binary64))))) (neg.f64 (-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/37800 binary64))) (.f64 x #s(literal 1/2835 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal -1/8037225 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal -1/2835 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal -1/8037225 binary64)) x)) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal -1/2835 binary64))))
(/.f64 (fma.f64 #s(literal 1/22785532875 binary64) (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64)))) (fma.f64 (.f64 x #s(literal 1/2835 binary64)) (.f64 x #s(literal 1/2835 binary64)) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/37800 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal -1/37800 binary64)))) (.f64 (.f64 x #s(literal 1/2835 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) x)
(+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64)) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal -1/2835 binary64))) (/.f64 #s(literal 1/8037225 binary64) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal -1/2835 binary64))))
(-.f64 (/.f64 #s(literal 1/8037225 binary64) (-.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64)) (-.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))
(fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
(fma.f64 #s(literal -1/37800 binary64) (*.f64 x x) #s(literal 1/2835 binary64))
(fma.f64 (*.f64 x #s(literal -1/37800 binary64)) x #s(literal 1/2835 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/8037225 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64)) (.f64 (.f64 x x) #s(literal -1/107163000 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))) (-.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64)) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (.f64 (.f64 x x) #s(literal -1/107163000 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64)) (+.f64 #s(literal 1/8037225 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64)) (.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal -1/8037225 binary64)) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal -1/2835 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (.f64 (.f64 x x) #s(literal -1/107163000 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64))) (neg.f64 (+.f64 #s(literal 1/8037225 binary64) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64)) (.f64 (*.f64 x x) #s(literal -1/107163000 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal -1/8037225 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal -1/2835 binary64))))
(/.f64 (-.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64))) (-.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64)) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal -1/2835 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal -1/2835 binary64)) #s(literal 1/8037225 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal -1/2835 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal -1/2835 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64))) #s(literal 1/11829804542155138297225482421875 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64))) (-.f64 #s(literal 1/519180508397705765625 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/1230650093979747000000000 binary64)))) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (.f64 (.f64 x x) #s(literal -1/107163000 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64))) #s(literal 1/519180508397705765625 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64))) #s(literal 1/22785532875 binary64)) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (.f64 (.f64 x x) #s(literal -1/107163000 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64))) #s(literal 1/519180508397705765625 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64)) (+.f64 #s(literal 1/64596985700625 binary64) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64)) #s(literal 1/8037225 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal -1/2835 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64))) #s(literal 1/64596985700625 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal -1/2835 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (.f64 (.f64 x x) #s(literal -1/107163000 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal -1/8037225 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal -1/2835 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64)))) (neg.f64 (-.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64)) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal -1/2835 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8037225 binary64) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal -1/2835 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64)) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal -1/2835 binary64))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64)) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal -1/2835 binary64))) (fma.f64 (/.f64 #s(literal 1/8037225 binary64) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal -1/2835 binary64))) (/.f64 #s(literal 1/8037225 binary64) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal -1/2835 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64)) (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal -1/2835 binary64))) (/.f64 #s(literal 1/8037225 binary64) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal -1/2835 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64)) #s(literal 1/22785532875 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal 1/8037225 binary64)) (.f64 (*.f64 x x) #s(literal -1/107163000 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64) #s(literal -1/8037225 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal -1/2835 binary64))))
(*.f64 x #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) x)

simplify491.0ms (3.5%)

Memory

33.3MiB live, 505.2MiB allocated

Algorithm

1×	egg-herbie

Rules

15 508×	`accelerator-lowering-fma.f32`
15 508×	`accelerator-lowering-fma.f64`
4 052×	`-lowering-.f32`
4 052×	`-lowering-.f64`
4 028×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	207	2186
1	554	2156
2	1421	2148
3	4228	2148
4	7622	2148
0	8051	2024

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 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)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
-1/180
(- (* 1/2835 (pow x 2)) 1/180)
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)
(* -1/37800 (pow x 4))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 4))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/6480 (* 1/259200 (pow x 2)))) 1/180))))
(+ (log 1/120) (* -4 (log (/ 1 x))))
(+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2)))))
(- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))
(- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))
(+ (log 1/120) (* -4 (log (/ -1 x))))
(+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2)))))
(- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))
(- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/180 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/180 (* (pow x 2) (- (* 1/37800 (pow x 2)) 1/2835)))) 1/6))
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6)))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(* -1/37800 (pow x 3))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* -1/37800 (pow x 3))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
1/2835
(+ 1/2835 (* -1/37800 (pow x 2)))
(+ 1/2835 (* -1/37800 (pow x 2)))
(+ 1/2835 (* -1/37800 (pow x 2)))
(* -1/37800 (pow x 2))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* -1/37800 (pow x 2))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)
(* 1/120 x)

Outputs
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* 1/2835 (pow x 6))
(*.f64 #s(literal 1/2835 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 1/2835 (pow x 6))
(*.f64 #s(literal 1/2835 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* 1/2835 (pow x 5))
(.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* 1/2835 (pow x 5))
(.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(* 1/2835 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x #s(literal -1/180 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x #s(literal -1/180 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* 1/2835 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x #s(literal -1/180 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 x #s(literal -1/180 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.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))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* -1/37800 (pow x 8))
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -1/37800 (pow x 8))
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
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(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)) x)
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(*.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))
(* -1/37800 (pow x 3))
(.f64 #s(literal -1/37800 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))
(* -1/37800 (pow x 3))
(.f64 #s(literal -1/37800 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))
1/2835
#s(literal 1/2835 binary64)
(+ 1/2835 (* -1/37800 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))
(+ 1/2835 (* -1/37800 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))
(+ 1/2835 (* -1/37800 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))
(* (pow x 2) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(fma.f64 x (*.f64 x #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))

eval194.0ms (1.4%)

Memory: -16.9MiB live, 97.6MiB allocated
Compiler: Compiled 24 879 to 2 258 computations (90.9% saved)

prune259.0ms (1.9%)

Memory

6.5MiB live, 138.4MiB allocated

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	795	16	811
Fresh	3	2	5
Picked	2	3	5
Done	0	1	1
Total	800	22	822

Accuracy

99.0%

Counts

822 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.4%	(fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	97.4%	(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))
	97.4%	(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))
	97.1%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)))))
	97.1%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)))))
	97.3%	(.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) x)
	97.1%	(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))
▶	97.4%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	37.7%	(.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (-.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (.f64 x #s(literal 1/6 binary64)))))))
	97.4%	(.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))))
	97.5%	(.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
▶	20.5%	(.f64 x (.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))
✓	97.5%	(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
✓	97.3%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	50.5%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
	44.3%	(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) x)))
▶	97.5%	(log1p.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))
	49.6%	(log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
▶	49.4%	(log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
✓	50.5%	(log.f64 (/.f64 (sinh.f64 x) x))
	44.1%	(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sinh.f64 x)))
	1.9%	(log.f64 (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))))

Compiler

Compiled 1 225 to 459 computations (62.5% saved)

simplify385.0ms (2.8%)

Memory

9.2MiB live, 595.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)))
✓	cost-diff	0	(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))
✓	cost-diff	1792	(-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
✓	cost-diff	64	(log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))
✓	cost-diff	0	(+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))
✓	cost-diff	0	(.f64 x (.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))
✓	cost-diff	1984	(.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.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 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
✓	cost-diff	0	(log1p.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))

Rules

15 406×	`accelerator-lowering-fma.f32`
15 406×	`accelerator-lowering-fma.f64`
4 378×	`-lowering-.f32`
4 378×	`-lowering-.f64`
2 818×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	425
1	132	393
2	438	367
3	2005	365
4	3366	365
5	5907	363
0	8188	326

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(log (+ 1 (* x (* x (+ (* (* x x) 1/120) 1/6)))))
(* x (* x (+ (* (* x x) 1/120) 1/6)))
x
(* x (+ (* (* x x) 1/120) 1/6))
(+ (* (* x x) 1/120) 1/6)
(* x x)
1/120
1/6
(* (* x 1/6) x)
(* x 1/6)
x
1/6
(* x (* (+ (+ 1/2835 (/ -1/180 (* x x))) (/ 1/6 (* x (* x (* x x))))) (* (* x (* x (* x x))) x)))
x
(* (+ (+ 1/2835 (/ -1/180 (* x x))) (/ 1/6 (* x (* x (* x x))))) (* (* x (* x (* x x))) x))
(+ (+ 1/2835 (/ -1/180 (* x x))) (/ 1/6 (* x (* x (* x x)))))
(+ 1/2835 (/ -1/180 (* x x)))
1/2835
(/ -1/180 (* x x))
-1/180
(* x x)
(/ 1/6 (* x (* x (* x x))))
1/6
(* x (* x (* x x)))
(* x (* x x))
(* (* x (* x (* x x))) x)
(log (+ (* (* x x) 1/6) 1))
(+ (* (* x x) 1/6) 1)
(* x x)
x
1/6
1
(/ (* (* x x) (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180))))) 1/216)) (- (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6))))
(* (* x x) (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180))))) 1/216))
(* x x)
x
(+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180))))) 1/216)
(* x (* x (+ (* x (* x 1/2835)) -1/180)))
(* x (+ (* x (* x 1/2835)) -1/180))
(+ (* x (* x 1/2835)) -1/180)
(* x 1/2835)
1/2835
-1/180
(* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180))))
1/216
(- (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6)))
(+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36)
1/36
(* x (* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6))
(* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6)
1/6

Outputs
(log (+ 1 (* x (* x (+ (* (* x x) 1/120) 1/6)))))
(log1p.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(* x (* x (+ (* (* x x) 1/120) 1/6)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
x
(* x (+ (* (* x x) 1/120) 1/6))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(+ (* (* x x) 1/120) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* x x)
(*.f64 x x)
1/120
#s(literal 1/120 binary64)
1/6
#s(literal 1/6 binary64)
(* (* x 1/6) x)
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
x
1/6
#s(literal 1/6 binary64)
(* x (* (+ (+ 1/2835 (/ -1/180 (* x x))) (/ 1/6 (* x (* x (* x x))))) (* (* x (* x (* x x))) x)))
(.f64 (.f64 x x) (fma.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1 binary64))) (fma.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/2835 binary64))) #s(literal 1/6 binary64))))
x
(* (+ (+ 1/2835 (/ -1/180 (* x x))) (/ 1/6 (* x (* x (* x x))))) (* (* x (* x (* x x))) x))
(.f64 x (fma.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1 binary64))) (fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))) #s(literal 1/6 binary64))))
(+ (+ 1/2835 (/ -1/180 (* x x))) (/ 1/6 (* x (* x (* x x)))))
(+.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))))
(+ 1/2835 (/ -1/180 (* x x)))
(+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))
1/2835
#s(literal 1/2835 binary64)
(/ -1/180 (* x x))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
-1/180
#s(literal -1/180 binary64)
(* x x)
(*.f64 x x)
(/ 1/6 (* x (* x (* x x))))
(/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))
1/6
#s(literal 1/6 binary64)
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(* (* x (* x (* x x))) x)
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(log (+ (* (* x x) 1/6) 1))
(log1p.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))))
(+ (* (* x x) 1/6) 1)
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* x x)
(*.f64 x x)
x
1/6
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)
(/ (* (* x x) (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180))))) 1/216)) (- (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6))))
(.f64 (.f64 x x) (/.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) #s(literal 1/216 binary64)) (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))))
(* (* x x) (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180))))) 1/216))
(.f64 x (.f64 x (fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) #s(literal 1/216 binary64))))
(* x x)
(*.f64 x x)
x
(+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180))))) 1/216)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))) #s(literal 1/216 binary64))
(* x (* x (+ (* x (* x 1/2835)) -1/180)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(* x (+ (* x (* x 1/2835)) -1/180))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(+ (* x (* x 1/2835)) -1/180)
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(* x 1/2835)
(*.f64 x #s(literal 1/2835 binary64))
1/2835
#s(literal 1/2835 binary64)
-1/180
#s(literal -1/180 binary64)
(* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180))))
(.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))
1/216
#s(literal 1/216 binary64)
(- (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6)))
(fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))
(+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36)
(fma.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64))
1/36
#s(literal 1/36 binary64)
(* x (* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6))
(.f64 x (fma.f64 x #s(literal -1/1080 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/17010 binary64))))
(* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6)
(fma.f64 x #s(literal -1/1080 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/17010 binary64)))
1/6
#s(literal 1/6 binary64)

localize349.0ms (2.5%)

Memory

-15.6MiB live, 627.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))
✓	accuracy	99.6%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
✓	accuracy	99.5%	(.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))
✓	accuracy	99.3%	(*.f64 x #s(literal 1/2835 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
✓	accuracy	51.7%	(log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))
✓	accuracy	99.7%	(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
✓	accuracy	63.0%	(+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))))
✓	accuracy	24.1%	(.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.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%	(log1p.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
✓	accuracy	99.5%	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))

Samples

184.0ms	159×	2	valid
62.0ms	82×	1	valid
11.0ms	8×	3	valid
2.0ms	7×	0	valid

Compiler

Compiled 473 to 44 computations (90.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 215.0ms

ival-mult: 70.0ms (32.5% of total)

ival-log: 41.0ms (19% of total)

adjust: 34.0ms (15.8% of total)

const: 32.0ms (14.9% of total)

ival-add: 18.0ms (8.4% of total)

ival-div: 12.0ms (5.6% of total)

ival-log1p: 4.0ms (1.9% of total)

ival-sub: 3.0ms (1.4% of total)

exact: 1.0ms (0.5% of total)

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

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

series12.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (log (+ 1 (* x (* x (+ (* (* x x) 1/120) 1/6)))))>
#<alt (* x (* x (+ (* (* x x) 1/120) 1/6)))>
#<alt (* x (+ (* (* x x) 1/120) 1/6))>
#<alt (+ (* (* x x) 1/120) 1/6)>
#<alt (* (* x 1/6) x)>
#<alt (* x 1/6)>
#<alt (* (+ (+ 1/2835 (/ -1/180 (* x x))) (/ 1/6 (* x (* x (* x x))))) (* (* x (* x (* x x))) x))>
#<alt (* x (* (+ (+ 1/2835 (/ -1/180 (* x x))) (/ 1/6 (* x (* x (* x x))))) (* (* x (* x (* x x))) x)))>
#<alt (+ (+ 1/2835 (/ -1/180 (* x x))) (/ 1/6 (* x (* x (* x x)))))>
#<alt (+ 1/2835 (/ -1/180 (* x x)))>
#<alt (log (+ (* (* x x) 1/6) 1))>
#<alt (+ (* (* x x) 1/6) 1)>
#<alt (* x x)>
#<alt (- (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6)))>
#<alt (/ (* (* x x) (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180))))) 1/216)) (- (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6))))>
#<alt (* (* x x) (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180))))) 1/216))>
#<alt (/ -1/180 (* x x))>
#<alt (* x 1/2835)>
#<alt (* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6)>
#<alt (* x (+ (* x (* x 1/2835)) -1/180))>

Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/6480 (* 1/259200 (pow x 2)))) 1/180))))>
#<alt (+ (log 1/120) (* -4 (log (/ 1 x))))>
#<alt (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))>
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))>
#<alt (+ (log 1/120) (* -4 (log (/ -1 x))))>
#<alt (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))>
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* 1/120 (pow x 3))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 3))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 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 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 x)>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 4))>
#<alt (/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 4))>
#<alt 1/2835>
#<alt (- 1/2835 (* 1/180 (/ 1 (pow x 2))))>
#<alt (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))>
#<alt (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))>
#<alt 1/2835>
#<alt (- 1/2835 (* 1/180 (/ 1 (pow x 2))))>
#<alt (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))>
#<alt (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))>
#<alt (/ -1/180 (pow x 2))>
#<alt (/ (- (* 1/2835 (pow x 2)) 1/180) (pow x 2))>
#<alt (/ (- (* 1/2835 (pow x 2)) 1/180) (pow x 2))>
#<alt (/ (- (* 1/2835 (pow x 2)) 1/180) (pow x 2))>
#<alt 1/2835>
#<alt (- 1/2835 (* 1/180 (/ 1 (pow x 2))))>
#<alt (- 1/2835 (* 1/180 (/ 1 (pow x 2))))>
#<alt (- 1/2835 (* 1/180 (/ 1 (pow x 2))))>
#<alt 1/2835>
#<alt (- 1/2835 (* 1/180 (/ 1 (pow x 2))))>
#<alt (- 1/2835 (* 1/180 (/ 1 (pow x 2))))>
#<alt (- 1/2835 (* 1/180 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/72 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/648 (pow x 2)) 1/72))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/648 (* -1/5184 (pow x 2)))) 1/72))))>
#<alt (+ (log 1/6) (* -2 (log (/ 1 x))))>
#<alt (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))>
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))>
#<alt (+ (log 1/6) (* -2 (log (/ -1 x))))>
#<alt (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))>
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 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 1/36>
#<alt (+ 1/36 (* 1/1080 (pow x 2)))>
#<alt (+ 1/36 (* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2)))))>
#<alt (+ 1/36 (* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400)))))>
#<alt (* 1/8037225 (pow x 8))>
#<alt (* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))>
#<alt (* 1/8037225 (pow x 8))>
#<alt (* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/216 (pow x 2))>
#<alt (* (pow x 2) (+ 1/216 (* -1/5832000 (pow x 6))))>
#<alt (* (pow x 2) (+ 1/216 (* (pow x 6) (- (* 1/30618000 (pow x 2)) 1/5832000))))>
#<alt (* (pow x 2) (+ 1/216 (* (pow x 6) (- (* (pow x 2) (+ 1/30618000 (* -1/482233500 (pow x 2)))) 1/5832000))))>
#<alt (* 1/22785532875 (pow x 14))>
#<alt (* (pow x 14) (- 1/22785532875 (* 1/482233500 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (* 1/482233500 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6))))))>
#<alt (* 1/22785532875 (pow x 14))>
#<alt (* (pow x 14) (- 1/22785532875 (* 1/482233500 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (* 1/482233500 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6))))))>
#<alt (/ -1/180 (pow x 2))>
#<alt (/ -1/180 (pow x 2))>
#<alt (/ -1/180 (pow x 2))>
#<alt (/ -1/180 (pow x 2))>
#<alt (/ -1/180 (pow x 2))>
#<alt (/ -1/180 (pow x 2))>
#<alt (/ -1/180 (pow x 2))>
#<alt (/ -1/180 (pow x 2))>
#<alt (/ -1/180 (pow x 2))>
#<alt (/ -1/180 (pow x 2))>
#<alt (/ -1/180 (pow x 2))>
#<alt (/ -1/180 (pow x 2))>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* -1/1080 x)>
#<alt (* x (- (* 1/17010 (pow x 2)) 1/1080))>
#<alt (* x (- (* 1/17010 (pow x 2)) 1/1080))>
#<alt (* x (- (* 1/17010 (pow x 2)) 1/1080))>
#<alt (* 1/17010 (pow x 3))>
#<alt (* (pow x 3) (- 1/17010 (* 1/1080 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/17010 (* 1/1080 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/17010 (* 1/1080 (/ 1 (pow x 2)))))>
#<alt (* 1/17010 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010)))>
#<alt (* -1 (* (pow x 3) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010)))>
#<alt (* -1 (* (pow x 3) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010)))>
#<alt (* -1/180 x)>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* 1/2835 (pow x 3))>
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>

Calls

60 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (* (* x x) (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180))))) 1/216)) (- (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6))))
0.0ms	x	@	0	(/ (* (* x x) (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180))))) 1/216)) (- (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6))))
0.0ms	x	@	inf	(log (+ (* (* x x) 1/6) 1))
0.0ms	x	@	0	(log (+ (* (* x x) 1/6) 1))
0.0ms	x	@	inf	(- (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6)))

rewrite439.0ms (3.1%)

Memory

21.2MiB live, 577.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 180×	`accelerator-lowering-fma.f32`
6 180×	`accelerator-lowering-fma.f64`
4 750×	`-lowering-.f32`
4 750×	`-lowering-.f64`
4 058×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	262
1	271	252
2	2517	248
0	9001	218

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 534

Calls

Call 1

Inputs
(log (+ 1 (* x (* x (+ (* (* x x) 1/120) 1/6)))))
(* x (* x (+ (* (* x x) 1/120) 1/6)))
(* x (+ (* (* x x) 1/120) 1/6))
(+ (* (* x x) 1/120) 1/6)
(* (* x 1/6) x)
(* x 1/6)
(* (+ (+ 1/2835 (/ -1/180 (* x x))) (/ 1/6 (* x (* x (* x x))))) (* (* x (* x (* x x))) x))
(* x (* (+ (+ 1/2835 (/ -1/180 (* x x))) (/ 1/6 (* x (* x (* x x))))) (* (* x (* x (* x x))) x)))
(+ (+ 1/2835 (/ -1/180 (* x x))) (/ 1/6 (* x (* x (* x x)))))
(+ 1/2835 (/ -1/180 (* x x)))
(log (+ (* (* x x) 1/6) 1))
(+ (* (* x x) 1/6) 1)
(* x x)
(- (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6)))
(/ (* (* x x) (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180))))) 1/216)) (- (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6))))
(* (* x x) (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180))))) 1/216))
(/ -1/180 (* x x))
(* x 1/2835)
(* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6)
(* x (+ (* x (* x 1/2835)) -1/180))

Outputs
(log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(+.f64 (log1p.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))))
(-.f64 (log1p.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) (log1p.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) (log.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(-.f64 (log1p.f64 (neg.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))) (log1p.f64 (.f64 (neg.f64 x) (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(-.f64 (log.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))
(-.f64 (log.f64 (-.f64 (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 1 binary64))) (log.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))))))
(log1p.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)))
(+.f64 (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)))
(fma.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 x (.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 x (.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x x)))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x)))
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(pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal -180 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal -1/180 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))
(.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal 1/180 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (neg.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/180 binary64))
(*.f64 (/.f64 #s(literal -1/180 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/180 binary64) x))
(*.f64 x #s(literal 1/2835 binary64))
(*.f64 #s(literal 1/2835 binary64) x)
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/180 binary64))))
(+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) (.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/180 binary64))))
(fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) #s(literal 1/6 binary64) (.f64 (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/180 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/180 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/180 binary64)))) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 x #s(literal -1/180 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 (.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))) (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) #s(literal 1/6 binary64)) (.f64 (.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))))
(.f64 x (.f64 #s(literal 1/6 binary64) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))
(.f64 #s(literal 1/6 binary64) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))
(.f64 (.f64 x #s(literal 1/6 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) x)
(+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) (.f64 x #s(literal -1/180 binary64)))
(+.f64 (.f64 x #s(literal -1/180 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64))) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) (.f64 x #s(literal -1/180 binary64)))) (/.f64 (.f64 (.f64 x #s(literal -1/180 binary64)) (.f64 x #s(literal -1/180 binary64))) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) (.f64 x #s(literal -1/180 binary64)))))
(fma.f64 x #s(literal -1/180 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/2835 binary64)))
(fma.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64)) (*.f64 x #s(literal -1/180 binary64)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 1/2835 binary64)) (*.f64 x #s(literal -1/180 binary64)))
(fma.f64 #s(literal -1/180 binary64) x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/2835 binary64)))
(fma.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64) (*.f64 x #s(literal -1/180 binary64)))
(fma.f64 (.f64 x #s(literal 1/2835 binary64)) (.f64 x x) (*.f64 x #s(literal -1/180 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/2835 binary64)) x (*.f64 x #s(literal -1/180 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/22785532875 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/5832000 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) (-.f64 (.f64 (.f64 x #s(literal -1/180 binary64)) (.f64 x #s(literal -1/180 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) (*.f64 x #s(literal -1/180 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64))) (.f64 (.f64 x #s(literal -1/180 binary64)) (.f64 x #s(literal -1/180 binary64)))) (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) (.f64 x #s(literal -1/180 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/22785532875 binary64)) #s(literal -1/5832000 binary64))) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/8037225 binary64) #s(literal 1/32400 binary64)) (.f64 (*.f64 x x) #s(literal -1/510300 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/8037225 binary64) #s(literal -1/32400 binary64))) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/22785532875 binary64)) #s(literal -1/5832000 binary64)) x) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/8037225 binary64) #s(literal 1/32400 binary64)) (.f64 (*.f64 x x) #s(literal -1/510300 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/8037225 binary64) #s(literal -1/32400 binary64)) x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal 1/180 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/22785532875 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal -1/5832000 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) (-.f64 (.f64 (.f64 x #s(literal -1/180 binary64)) (.f64 x #s(literal -1/180 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) (*.f64 x #s(literal -1/180 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64))) (.f64 (.f64 x #s(literal -1/180 binary64)) (.f64 x #s(literal -1/180 binary64))))) (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) (.f64 x #s(literal -1/180 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/22785532875 binary64)) #s(literal -1/5832000 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/8037225 binary64) #s(literal 1/32400 binary64)) (.f64 (*.f64 x x) #s(literal -1/510300 binary64)))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/8037225 binary64) #s(literal -1/32400 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal 1/180 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/22785532875 binary64)) #s(literal -1/5832000 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/8037225 binary64) #s(literal 1/32400 binary64)) (.f64 (*.f64 x x) #s(literal -1/510300 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/8037225 binary64) #s(literal -1/32400 binary64)) x)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal 1/180 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/5832000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/22785532875 binary64))))) (fma.f64 (.f64 x #s(literal -1/180 binary64)) (.f64 x #s(literal -1/180 binary64)) (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64))) (.f64 (.f64 x #s(literal -1/180 binary64)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/2835 binary64))))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) x)

simplify648.0ms (4.6%)

Memory

-15.4MiB live, 535.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 276×	`accelerator-lowering-fma.f32`
13 276×	`accelerator-lowering-fma.f64`
4 900×	`-lowering-.f32`
4 900×	`-lowering-.f64`
4 638×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	247	2116
1	661	2114
2	1691	2106
3	4527	2106
0	8634	1992

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/6480 (* 1/259200 (pow x 2)))) 1/180))))
(+ (log 1/120) (* -4 (log (/ 1 x))))
(+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2)))))
(- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))
(- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))
(+ (log 1/120) (* -4 (log (/ -1 x))))
(+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2)))))
(- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))
(- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 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 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 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(/ 1/6 (pow x 4))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 4))
(/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 4))
(/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 4))
1/2835
(- 1/2835 (* 1/180 (/ 1 (pow x 2))))
(- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))
(- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))
1/2835
(- 1/2835 (* 1/180 (/ 1 (pow x 2))))
(- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))
(- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))
(/ -1/180 (pow x 2))
(/ (- (* 1/2835 (pow x 2)) 1/180) (pow x 2))
(/ (- (* 1/2835 (pow x 2)) 1/180) (pow x 2))
(/ (- (* 1/2835 (pow x 2)) 1/180) (pow x 2))
1/2835
(- 1/2835 (* 1/180 (/ 1 (pow x 2))))
(- 1/2835 (* 1/180 (/ 1 (pow x 2))))
(- 1/2835 (* 1/180 (/ 1 (pow x 2))))
1/2835
(- 1/2835 (* 1/180 (/ 1 (pow x 2))))
(- 1/2835 (* 1/180 (/ 1 (pow x 2))))
(- 1/2835 (* 1/180 (/ 1 (pow x 2))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/72 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/648 (pow x 2)) 1/72))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/648 (* -1/5184 (pow x 2)))) 1/72))))
(+ (log 1/6) (* -2 (log (/ 1 x))))
(+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2)))))
(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))
(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))
(+ (log 1/6) (* -2 (log (/ -1 x))))
(+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2)))))
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* 1/6 (pow x 2)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 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)
1/36
(+ 1/36 (* 1/1080 (pow x 2)))
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2)))))
(+ 1/36 (* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400)))))
(* 1/8037225 (pow x 8))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))
(* 1/8037225 (pow x 8))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/216 (pow x 2))
(* (pow x 2) (+ 1/216 (* -1/5832000 (pow x 6))))
(* (pow x 2) (+ 1/216 (* (pow x 6) (- (* 1/30618000 (pow x 2)) 1/5832000))))
(* (pow x 2) (+ 1/216 (* (pow x 6) (- (* (pow x 2) (+ 1/30618000 (* -1/482233500 (pow x 2)))) 1/5832000))))
(* 1/22785532875 (pow x 14))
(* (pow x 14) (- 1/22785532875 (* 1/482233500 (/ 1 (pow x 2)))))
(* (pow x 14) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (* 1/482233500 (/ 1 (pow x 2)))))
(* (pow x 14) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6))))))
(* 1/22785532875 (pow x 14))
(* (pow x 14) (- 1/22785532875 (* 1/482233500 (/ 1 (pow x 2)))))
(* (pow x 14) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (* 1/482233500 (/ 1 (pow x 2)))))
(* (pow x 14) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6))))))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* -1/1080 x)
(* x (- (* 1/17010 (pow x 2)) 1/1080))
(* x (- (* 1/17010 (pow x 2)) 1/1080))
(* x (- (* 1/17010 (pow x 2)) 1/1080))
(* 1/17010 (pow x 3))
(* (pow x 3) (- 1/17010 (* 1/1080 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/17010 (* 1/1080 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/17010 (* 1/1080 (/ 1 (pow x 2)))))
(* 1/17010 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010)))
(* -1 (* (pow x 3) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010)))
(* -1 (* (pow x 3) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010)))
(* -1/180 x)
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* 1/2835 (pow x 3))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))

Outputs
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/6480 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/6480 (* 1/259200 (pow x 2)))) 1/180))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/259200 binary64) #s(literal 1/6480 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(+ (log 1/120) (* -4 (log (/ 1 x))))
(fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 1/120 binary64)))
(+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 1/120 binary64)) (fma.f64 #s(literal 4 binary64) (log.f64 x) (/.f64 #s(literal 20 binary64) (*.f64 x x))))
(- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))
(+.f64 (fma.f64 #s(literal 4 binary64) (log.f64 x) (log.f64 #s(literal 1/120 binary64))) (+.f64 (/.f64 #s(literal 20 binary64) (.f64 x x)) (/.f64 #s(literal -80 binary64) (.f64 x (.f64 x (.f64 x x))))))
(- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))
(+.f64 (log.f64 #s(literal 1/120 binary64)) (+.f64 (/.f64 #s(literal 20 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 800/3 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (log.f64 x) (/.f64 #s(literal -80 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(+ (log 1/120) (* -4 (log (/ -1 x))))
(fma.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/120 binary64)))
(+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal 20 binary64) (*.f64 x x)) (fma.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/120 binary64))))
(- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))
(+.f64 (+.f64 (/.f64 #s(literal 20 binary64) (.f64 x x)) (fma.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/120 binary64)))) (/.f64 #s(literal -80 binary64) (.f64 x (.f64 x (.f64 x x)))))
(- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))
(+.f64 (log.f64 #s(literal 1/120 binary64)) (+.f64 (/.f64 #s(literal 20 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 800/3 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -80 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(* 1/120 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(* 1/120 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* 1/120 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* 1/120 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* 1/2835 (pow x 5))
(*.f64 #s(literal 1/2835 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
(* 1/2835 (pow x 5))
(*.f64 #s(literal 1/2835 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* 1/2835 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
(* 1/2835 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
(/ 1/6 (pow x 4))
(/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 4))
(/.f64 (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 x x))))
(/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 4))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 4))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x (*.f64 x x))))
1/2835
#s(literal 1/2835 binary64)
(- 1/2835 (* 1/180 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))
(- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x))))
(- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x))))
1/2835
#s(literal 1/2835 binary64)
(- 1/2835 (* 1/180 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))
(- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x))))
(- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x))))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(/ (- (* 1/2835 (pow x 2)) 1/180) (pow x 2))
(+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))
(/ (- (* 1/2835 (pow x 2)) 1/180) (pow x 2))
(+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))
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eval171.0ms (1.2%)

Memory: 10.7MiB live, 319.2MiB allocated
Compiler: Compiled 63 397 to 2 976 computations (95.3% saved)

prune168.0ms (1.2%)

Memory

3.0MiB live, 325.8MiB allocated

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	1 111	8	1 119
Fresh	3	10	13
Picked	3	2	5
Done	0	4	4
Total	1 117	24	1 141

Accuracy

99.0%

Counts

1 141 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.4%	(fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	97.4%	(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))
▶	97.4%	(/.f64 (.f64 x (.f64 x #s(literal 1/216 binary64))) (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))
	97.1%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64) (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)))))
	97.1%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)))))
	27.3%	(.f64 (.f64 (.f64 x (+.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))))) x) (.f64 x (.f64 x (.f64 x x))))
	97.3%	(.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) x)
	20.5%	(.f64 (.f64 x (+.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
▶	97.1%	(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))
✓	97.4%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	37.7%	(.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (-.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (.f64 x #s(literal 1/6 binary64)))))))
▶	97.5%	(.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
	20.4%	(.f64 x (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x)))
▶	27.3%	(.f64 x (.f64 (.f64 x (+.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 x (.f64 x (.f64 x x)))))
✓	97.5%	(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
✓	97.3%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	50.5%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
	44.3%	(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) x)))
	97.3%	(log1p.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	97.5%	(log1p.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))
	49.9%	(log1p.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
▶	49.6%	(log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	50.5%	(log.f64 (/.f64 (sinh.f64 x) x))
	44.1%	(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sinh.f64 x)))

Compiler

Compiled 1 155 to 479 computations (58.5% saved)

simplify563.0ms (4%)

Memory

-9.9MiB live, 604.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
✓	cost-diff	64	(log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 1/216 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/216 binary64)))
✓	cost-diff	0	(/.f64 (.f64 x (.f64 x #s(literal 1/216 binary64))) (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))
✓	cost-diff	1792	(-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))))
✓	cost-diff	0	(.f64 x (.f64 (.f64 x (+.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 x (.f64 x (.f64 x x)))))
✓	cost-diff	768	(.f64 x (+.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
✓	cost-diff	832	(.f64 (.f64 x (+.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 x (.f64 x (*.f64 x x))))
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))
✓	cost-diff	0	(fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))
✓	cost-diff	0	(.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x)
✓	cost-diff	0	(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))
✓	cost-diff	0	(.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))

Rules

13 302×	`accelerator-lowering-fma.f32`
13 302×	`accelerator-lowering-fma.f64`
3 998×	`+-lowering-+.f64`
3 998×	`+-lowering-+.f32`
3 462×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	577
1	159	531
2	525	507
3	1815	503
4	5517	503
0	9002	448

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (/ (* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36) x) (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) -1/6)))
x
(/ (* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36) x) (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) -1/6))
(* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36) x)
(+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36)
(* x (* x (+ (* x (* x 1/2835)) -1/180)))
(* x (+ (* x (* x 1/2835)) -1/180))
(+ (* x (* x 1/2835)) -1/180)
(* x 1/2835)
1/2835
-1/180
-1/36
(+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) -1/6)
-1/6
(* (* x x) (+ (* (* x x) -1/180) 1/6))
(* x x)
x
(+ (* (* x x) -1/180) 1/6)
-1/180
1/6
(* x (* (* x (+ (/ -1/180 (* x x)) (+ 1/2835 (/ 1/6 (* x (* x (* x x))))))) (* x (* x (* x x)))))
x
(* (* x (+ (/ -1/180 (* x x)) (+ 1/2835 (/ 1/6 (* x (* x (* x x))))))) (* x (* x (* x x))))
(* x (+ (/ -1/180 (* x x)) (+ 1/2835 (/ 1/6 (* x (* x (* x x)))))))
(+ (/ -1/180 (* x x)) (+ 1/2835 (/ 1/6 (* x (* x (* x x))))))
(/ -1/180 (* x x))
-1/180
(* x x)
(+ 1/2835 (/ 1/6 (* x (* x (* x x)))))
1/2835
(/ 1/6 (* x (* x (* x x))))
1/6
(* x (* x (* x x)))
(* x (* x x))
(/ (* x (* x 1/216)) (- (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6))))
(* x (* x 1/216))
x
(* x 1/216)
1/216
(- (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6)))
(+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36)
(* x (* x (+ (* x (* x 1/2835)) -1/180)))
(* x (+ (* x (* x 1/2835)) -1/180))
(+ (* x (* x 1/2835)) -1/180)
(* x 1/2835)
1/2835
-1/180
1/36
(* x (* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6))
(* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6)
1/6
(log (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1))
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1)
(* x x)
x
(+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)
(* x (+ (* (* x x) 1/5040) 1/120))
(+ (* (* x x) 1/5040) 1/120)
1/5040
1/120
1/6
1

Outputs
(* x (/ (* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36) x) (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) -1/6)))
(/.f64 (.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64)))
x
(/ (* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36) x) (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) -1/6))
(.f64 (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64)) (/.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36) x)
(.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (*.f64 x x)))) #s(literal -1/36 binary64)))
(+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36)
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal -1/36 binary64))
(* x (* x (+ (* x (* x 1/2835)) -1/180)))
(.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))
(* x (+ (* x (* x 1/2835)) -1/180))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(+ (* x (* x 1/2835)) -1/180)
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))
(* x 1/2835)
(*.f64 x #s(literal 1/2835 binary64))
1/2835
#s(literal 1/2835 binary64)
-1/180
#s(literal -1/180 binary64)
-1/36
#s(literal -1/36 binary64)
(+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) -1/6)
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x x) #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(* (* x x) (+ (* (* x x) -1/180) 1/6))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* x x)
(*.f64 x x)
x
(+ (* (* x x) -1/180) 1/6)
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
-1/180
#s(literal -1/180 binary64)
1/6
#s(literal 1/6 binary64)
(* x (* (* x (+ (/ -1/180 (* x x)) (+ 1/2835 (/ 1/6 (* x (* x (* x x))))))) (* x (* x (* x x)))))
(.f64 (.f64 x x) (.f64 (.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) #s(literal -1/180 binary64))))
x
(* (* x (+ (/ -1/180 (* x x)) (+ 1/2835 (/ 1/6 (* x (* x (* x x))))))) (* x (* x (* x x))))
(.f64 (.f64 x x) (fma.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x)))))
(* x (+ (/ -1/180 (* x x)) (+ 1/2835 (/ 1/6 (* x (* x (* x x)))))))
(+.f64 (/.f64 #s(literal -1/180 binary64) x) (fma.f64 x #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))))
(+ (/ -1/180 (* x x)) (+ 1/2835 (/ 1/6 (* x (* x (* x x))))))
(+.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))))
(/ -1/180 (* x x))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
-1/180
#s(literal -1/180 binary64)
(* x x)
(*.f64 x x)
(+ 1/2835 (/ 1/6 (* x (* x (* x x)))))
(+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))
1/2835
#s(literal 1/2835 binary64)
(/ 1/6 (* x (* x (* x x))))
(/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))
1/6
#s(literal 1/6 binary64)
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(/ (* x (* x 1/216)) (- (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6))))
(/.f64 (.f64 x (.f64 x #s(literal 1/216 binary64))) (fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1/36 binary64)))
(* x (* x 1/216))
(.f64 x (.f64 x #s(literal 1/216 binary64)))
x
(* x 1/216)
(*.f64 x #s(literal 1/216 binary64))
1/216
#s(literal 1/216 binary64)
(- (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6)))
(fma.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1/36 binary64))
(+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36)
(fma.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/36 binary64))
(* x (* x (+ (* x (* x 1/2835)) -1/180)))
(.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x))
(* x (+ (* x (* x 1/2835)) -1/180))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(+ (* x (* x 1/2835)) -1/180)
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))
(* x 1/2835)
(*.f64 x #s(literal 1/2835 binary64))
1/2835
#s(literal 1/2835 binary64)
-1/180
#s(literal -1/180 binary64)
1/36
#s(literal 1/36 binary64)
(* x (* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6))
(.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6)
(fma.f64 x #s(literal -1/1080 binary64) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/17010 binary64)))
1/6
#s(literal 1/6 binary64)
(log (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1))
(log1p.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* x x)
(*.f64 x x)
x
(+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(* x (+ (* (* x x) 1/5040) 1/120))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(+ (* (* x x) 1/5040) 1/120)
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
1/5040
#s(literal 1/5040 binary64)
1/120
#s(literal 1/120 binary64)
1/6
#s(literal 1/6 binary64)
1
#s(literal 1 binary64)

localize463.0ms (3.3%)

Memory

17.8MiB live, 732.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
✓	accuracy	100.0%	(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
✓	accuracy	99.8%	(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
✓	accuracy	51.7%	(log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.6%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
✓	accuracy	99.5%	(.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))
✓	accuracy	99.4%	(*.f64 x #s(literal 1/216 binary64))
✓	accuracy	99.3%	(*.f64 x #s(literal 1/2835 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
✓	accuracy	92.4%	(.f64 x (+.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
✓	accuracy	63.0%	(+.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))))
✓	accuracy	31.3%	(.f64 (.f64 x (+.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))
✓	accuracy	99.6%	(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))
✓	accuracy	99.6%	(.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
✓	accuracy	99.4%	(.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x)
✓	accuracy	99.4%	(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))
✓	accuracy	99.3%	(*.f64 x #s(literal 1/2835 binary64))

Samples

213.0ms	159×	2	valid
84.0ms	82×	1	valid
26.0ms	8×	3	valid
3.0ms	7×	0	valid

Compiler

Compiled 550 to 52 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 255.0ms

ival-mult: 66.0ms (25.9% of total)

const: 47.0ms (18.4% of total)

adjust: 44.0ms (17.3% of total)

ival-add: 41.0ms (16.1% of total)

ival-log: 38.0ms (14.9% of total)

ival-div: 16.0ms (6.3% of total)

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

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.1%)

Memory

-10.0MiB live, 25.0MiB allocated

Counts

24 → 288

Calls

Call 1

Inputs
#<alt (* x (/ (* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36) x) (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) -1/6)))>
#<alt (/ (* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36) x) (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) -1/6))>
#<alt (* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36) x)>
#<alt (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36)>
#<alt (* (* x x) (+ (* (* x x) -1/180) 1/6))>
#<alt (* x x)>
#<alt (+ (* (* x x) -1/180) 1/6)>
#<alt (* (* x (+ (/ -1/180 (* x x)) (+ 1/2835 (/ 1/6 (* x (* x (* x x))))))) (* x (* x (* x x))))>
#<alt (* x (+ (/ -1/180 (* x x)) (+ 1/2835 (/ 1/6 (* x (* x (* x x)))))))>
#<alt (* x (* (* x (+ (/ -1/180 (* x x)) (+ 1/2835 (/ 1/6 (* x (* x (* x x))))))) (* x (* x (* x x)))))>
#<alt (+ (/ -1/180 (* x x)) (+ 1/2835 (/ 1/6 (* x (* x (* x x))))))>
#<alt (- (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6)))>
#<alt (/ (* x (* x 1/216)) (- (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6))))>
#<alt (* x (* x 1/216))>
#<alt (* x 1/216)>
#<alt (log (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1))>
#<alt (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1)>
#<alt (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)>
#<alt (* x 1/2835)>
#<alt (* x (+ (* x (* x 1/2835)) -1/180))>
#<alt (/ -1/180 (* x x))>
#<alt (* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6)>
#<alt (* x (+ (* (* x x) 1/5040) 1/120))>
#<alt (+ (* (* x x) 1/5040) 1/120)>

Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt (* -1/36 x)>
#<alt (* x (- (* 1/32400 (pow x 4)) 1/36))>
#<alt (* x (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36))>
#<alt (* x (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36))>
#<alt (* 1/8037225 (pow x 9))>
#<alt (* (pow x 9) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))>
#<alt (* 1/8037225 (pow x 9))>
#<alt (* -1 (* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) 1/8037225)))>
#<alt (* -1 (* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4))))))>
#<alt (* -1 (* (pow x 9) (- (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/8037225 (/ 1/32400 (pow x 4))))))>
#<alt -1/36>
#<alt (- (* 1/32400 (pow x 4)) 1/36)>
#<alt (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)>
#<alt (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)>
#<alt (* 1/8037225 (pow x 8))>
#<alt (* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))>
#<alt (* 1/8037225 (pow x 8))>
#<alt (* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<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>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (* -1/180 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt (/ 1/6 (pow x 3))>
#<alt (/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 3))>
#<alt (/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 3))>
#<alt (* 1/2835 x)>
#<alt (* x (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 x)>
#<alt (* -1 (* x (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* x (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt (* -1 (* x (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 4))>
#<alt (/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 4))>
#<alt 1/2835>
#<alt (- 1/2835 (* 1/180 (/ 1 (pow x 2))))>
#<alt (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))>
#<alt (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))>
#<alt 1/2835>
#<alt (- 1/2835 (* 1/180 (/ 1 (pow x 2))))>
#<alt (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))>
#<alt (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))>
#<alt 1/36>
#<alt (+ 1/36 (* 1/1080 (pow x 2)))>
#<alt (+ 1/36 (* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2)))))>
#<alt (+ 1/36 (* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400)))))>
#<alt (* 1/8037225 (pow x 8))>
#<alt (* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))>
#<alt (* 1/8037225 (pow x 8))>
#<alt (* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* 1/162000 (pow x 2)))) 1/180))))>
#<alt (/ 297675/8 (pow x 6))>
#<alt (/ (+ 297675/8 (* 18753525/16 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (+ 297675/8 (+ (* 18753525/16 (/ 1 (pow x 2))) (/ 5794839225/128 (pow x 4)))) (pow x 6))>
#<alt (/ (+ 297675/8 (+ (* 18753525/16 (/ 1 (pow x 2))) (+ (* 180765227475/128 (/ 1 (pow x 6))) (/ 5794839225/128 (pow x 4))))) (pow x 6))>
#<alt (/ 297675/8 (pow x 6))>
#<alt (/ (+ 297675/8 (* 18753525/16 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (+ 297675/8 (+ (* 18753525/16 (/ 1 (pow x 2))) (/ 5794839225/128 (pow x 4)))) (pow x 6))>
#<alt (/ (+ 297675/8 (+ (* 18753525/16 (/ 1 (pow x 2))) (+ (* 180765227475/128 (/ 1 (pow x 6))) (/ 5794839225/128 (pow x 4))))) (pow x 6))>
#<alt (* 1/216 (pow x 2))>
#<alt (* 1/216 (pow x 2))>
#<alt (* 1/216 (pow x 2))>
#<alt (* 1/216 (pow x 2))>
#<alt (* 1/216 (pow x 2))>
#<alt (* 1/216 (pow x 2))>
#<alt (* 1/216 (pow x 2))>
#<alt (* 1/216 (pow x 2))>
#<alt (* 1/216 (pow x 2))>
#<alt (* 1/216 (pow x 2))>
#<alt (* 1/216 (pow x 2))>
#<alt (* 1/216 (pow x 2))>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180))))>
#<alt (+ (log 1/5040) (* -6 (log (/ 1 x))))>
#<alt (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))>
#<alt (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))>
#<alt (+ (log 1/5040) (* -6 (log (/ -1 x))))>
#<alt (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))>
#<alt (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))>
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* 1/2835 x)>
#<alt (* -1/180 x)>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* 1/2835 (pow x 3))>
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (/ -1/180 (pow x 2))>
#<alt (/ -1/180 (pow x 2))>
#<alt (/ -1/180 (pow x 2))>
#<alt (/ -1/180 (pow x 2))>
#<alt (/ -1/180 (pow x 2))>
#<alt (/ -1/180 (pow x 2))>
#<alt (/ -1/180 (pow x 2))>
#<alt (/ -1/180 (pow x 2))>
#<alt (/ -1/180 (pow x 2))>
#<alt (/ -1/180 (pow x 2))>
#<alt (/ -1/180 (pow x 2))>
#<alt (/ -1/180 (pow x 2))>
#<alt (* -1/1080 x)>
#<alt (* x (- (* 1/17010 (pow x 2)) 1/1080))>
#<alt (* x (- (* 1/17010 (pow x 2)) 1/1080))>
#<alt (* x (- (* 1/17010 (pow x 2)) 1/1080))>
#<alt (* 1/17010 (pow x 3))>
#<alt (* (pow x 3) (- 1/17010 (* 1/1080 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/17010 (* 1/1080 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/17010 (* 1/1080 (/ 1 (pow x 2)))))>
#<alt (* 1/17010 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010)))>
#<alt (* -1 (* (pow x 3) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010)))>
#<alt (* -1 (* (pow x 3) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010)))>
#<alt (* 1/120 x)>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt 1/120>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (+ 1/120 (* 1/5040 (pow x 2)))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>

Calls

72 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(* x (* x 1/216))
1.0ms	x	@	0	(log (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1))
1.0ms	x	@	inf	(log (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1))
0.0ms	x	@	0	(* x (/ (* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36) x) (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) -1/6)))
0.0ms	x	@	inf	(* x (/ (* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36) x) (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) -1/6)))

rewrite503.0ms (3.6%)

Memory

-1.6MiB live, 811.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 212×	`accelerator-lowering-fma.f32`
6 212×	`accelerator-lowering-fma.f64`
5 236×	`-lowering-.f32`
5 236×	`-lowering-.f64`
4 878×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	365
1	326	321
2	2920	313
0	10048	274

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 679

Calls

Call 1

Inputs
(* x (/ (* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36) x) (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) -1/6)))
(/ (* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36) x) (+ (* x (* x (+ (* x (* x 1/2835)) -1/180))) -1/6))
(* (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36) x)
(+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) -1/36)
(* (* x x) (+ (* (* x x) -1/180) 1/6))
(* x x)
(+ (* (* x x) -1/180) 1/6)
(* (* x (+ (/ -1/180 (* x x)) (+ 1/2835 (/ 1/6 (* x (* x (* x x))))))) (* x (* x (* x x))))
(* x (+ (/ -1/180 (* x x)) (+ 1/2835 (/ 1/6 (* x (* x (* x x)))))))
(* x (* (* x (+ (/ -1/180 (* x x)) (+ 1/2835 (/ 1/6 (* x (* x (* x x))))))) (* x (* x (* x x)))))
(+ (/ -1/180 (* x x)) (+ 1/2835 (/ 1/6 (* x (* x (* x x))))))
(- (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6)))
(/ (* x (* x 1/216)) (- (+ (* (* x (* x (+ (* x (* x 1/2835)) -1/180))) (* x (* x (+ (* x (* x 1/2835)) -1/180)))) 1/36) (* x (* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6))))
(* x (* x 1/216))
(* x 1/216)
(log (+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1))
(+ (* (* x x) (+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)) 1)
(+ (* x (* x (+ (* (* x x) 1/5040) 1/120))) 1/6)
(* x 1/2835)
(* x (+ (* x (* x 1/2835)) -1/180))
(/ -1/180 (* x x))
(* (* x (+ (* x (* x 1/2835)) -1/180)) 1/6)
(* x (+ (* (* x x) 1/5040) 1/120))
(+ (* (* x x) 1/5040) 1/120)

Outputs
(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)) (.f64 x (.f64 x (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x x)))) #s(literal -1/36 binary64))))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))))
(/.f64 (.f64 x (.f64 x (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x x)))) #s(literal -1/36 binary64)))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)) (.f64 x (.f64 x (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x x)))) #s(literal -1/36 binary64)))))))
(/.f64 (neg.f64 (.f64 x (.f64 x (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x x)))) #s(literal -1/36 binary64))))) (neg.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
(/.f64 (.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (.f64 x (.f64 (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x x)))) #s(literal -1/36 binary64)) (neg.f64 x))) (neg.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x x)))) #s(literal -1/36 binary64)) (neg.f64 x)) x) (neg.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 x (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x x)))) #s(literal -1/36 binary64)))))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (.f64 x (.f64 (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x x)))) #s(literal -1/36 binary64)) (neg.f64 x)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x x)))) #s(literal -1/36 binary64)) (neg.f64 x)) x)) (neg.f64 (neg.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))))
(pow.f64 (/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)) (.f64 x (.f64 x (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x x)))) #s(literal -1/36 binary64))))) #s(literal -1 binary64))
(.f64 x (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (.f64 x (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x x)))) #s(literal -1/36 binary64))) (/.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
(.f64 (.f64 x (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x x)))) #s(literal -1/36 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) x))
(.f64 (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x x) #s(literal 1/6 binary64))) x)
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x x)))) #s(literal -1/36 binary64))))))
(.f64 (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x x)))) #s(literal -1/36 binary64)) (.f64 (/.f64 x (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))) x))
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(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (.f64 (*.f64 x x) #s(literal 1/604800 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (.f64 (.f64 x x) #s(literal 1/604800 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (.f64 (.f64 x x) #s(literal 1/604800 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)) (.f64 (*.f64 x x) #s(literal 1/604800 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))
(/.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (.f64 (.f64 x x) #s(literal 1/604800 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (.f64 (.f64 x x) #s(literal 1/604800 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (.f64 (*.f64 x x) #s(literal 1/604800 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))))

simplify645.0ms (4.6%)

Memory

24.9MiB live, 531.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 092×	`accelerator-lowering-fma.f32`
11 092×	`accelerator-lowering-fma.f64`
4 328×	`-lowering-.f32`
4 328×	`-lowering-.f64`
3 374×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	260	2726
1	693	2722
2	1827	2710
3	4688	2710
0	8176	2569

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1/36 x)
(* x (- (* 1/32400 (pow x 4)) 1/36))
(* x (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36))
(* x (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36))
(* 1/8037225 (pow x 9))
(* (pow x 9) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(* 1/8037225 (pow x 9))
(* -1 (* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) 1/8037225)))
(* -1 (* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4))))))
(* -1 (* (pow x 9) (- (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/8037225 (/ 1/32400 (pow x 4))))))
-1/36
(- (* 1/32400 (pow x 4)) 1/36)
(- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)
(- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)
(* 1/8037225 (pow x 8))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(* 1/8037225 (pow x 8))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(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
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* -1/180 (pow x 2)))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(/ 1/6 (pow x 3))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 3))
(/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 3))
(/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 3))
(* 1/2835 x)
(* x (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* x (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* x (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 x)
(* -1 (* x (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* x (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1 (* x (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(/ 1/6 (pow x 4))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 4))
(/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 4))
(/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 4))
1/2835
(- 1/2835 (* 1/180 (/ 1 (pow x 2))))
(- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))
(- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))
1/2835
(- 1/2835 (* 1/180 (/ 1 (pow x 2))))
(- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))
(- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))
1/36
(+ 1/36 (* 1/1080 (pow x 2)))
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2)))))
(+ 1/36 (* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400)))))
(* 1/8037225 (pow x 8))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))
(* 1/8037225 (pow x 8))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* 1/162000 (pow x 2)))) 1/180))))
(/ 297675/8 (pow x 6))
(/ (+ 297675/8 (* 18753525/16 (/ 1 (pow x 2)))) (pow x 6))
(/ (+ 297675/8 (+ (* 18753525/16 (/ 1 (pow x 2))) (/ 5794839225/128 (pow x 4)))) (pow x 6))
(/ (+ 297675/8 (+ (* 18753525/16 (/ 1 (pow x 2))) (+ (* 180765227475/128 (/ 1 (pow x 6))) (/ 5794839225/128 (pow x 4))))) (pow x 6))
(/ 297675/8 (pow x 6))
(/ (+ 297675/8 (* 18753525/16 (/ 1 (pow x 2)))) (pow x 6))
(/ (+ 297675/8 (+ (* 18753525/16 (/ 1 (pow x 2))) (/ 5794839225/128 (pow x 4)))) (pow x 6))
(/ (+ 297675/8 (+ (* 18753525/16 (/ 1 (pow x 2))) (+ (* 180765227475/128 (/ 1 (pow x 6))) (/ 5794839225/128 (pow x 4))))) (pow x 6))
(* 1/216 (pow x 2))
(* 1/216 (pow x 2))
(* 1/216 (pow x 2))
(* 1/216 (pow x 2))
(* 1/216 (pow x 2))
(* 1/216 (pow x 2))
(* 1/216 (pow x 2))
(* 1/216 (pow x 2))
(* 1/216 (pow x 2))
(* 1/216 (pow x 2))
(* 1/216 (pow x 2))
(* 1/216 (pow x 2))
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180))))
(+ (log 1/5040) (* -6 (log (/ 1 x))))
(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2)))))
(- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))
(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))
(+ (log 1/5040) (* -6 (log (/ -1 x))))
(+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2)))))
(- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))
(+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* 1/2835 x)
(* -1/180 x)
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* 1/2835 (pow x 3))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(/ -1/180 (pow x 2))
(* -1/1080 x)
(* x (- (* 1/17010 (pow x 2)) 1/1080))
(* x (- (* 1/17010 (pow x 2)) 1/1080))
(* x (- (* 1/17010 (pow x 2)) 1/1080))
(* 1/17010 (pow x 3))
(* (pow x 3) (- 1/17010 (* 1/1080 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/17010 (* 1/1080 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/17010 (* 1/1080 (/ 1 (pow x 2)))))
(* 1/17010 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010)))
(* -1 (* (pow x 3) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010)))
(* -1 (* (pow x 3) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010)))
(* 1/120 x)
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
1/120
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(+ 1/120 (* 1/5040 (pow x 2)))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 2))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))

Outputs
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* 1/2835 (pow x 6))
(*.f64 #s(literal 1/2835 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 1/2835 (pow x 6))
(*.f64 #s(literal 1/2835 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* 1/2835 (pow x 5))
(.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* 1/2835 (pow x 5))
(.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* x (- (* 1/32400 (pow x 4)) 1/36))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)))
(* x (- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (*.f64 x #s(literal -1/255150 binary64)) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64)))
(* x (- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36))
(.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/8037225 binary64) #s(literal -1/255150 binary64)) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64)))
(* 1/8037225 (pow x 9))
(*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (.f64 x x))))
(* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (.f64 x x))) (/.f64 #s(literal 1/32400 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/32400 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 8 binary64))))))
(* 1/8037225 (pow x 9))
(*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 9 binary64)))
(* -1 (* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) 1/8037225)))
(.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (.f64 x x))))
(* -1 (* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (.f64 x x))) (/.f64 #s(literal 1/32400 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1 (* (pow x 9) (- (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/8037225 (/ 1/32400 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/32400 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 8 binary64))))))
-1/36
#s(literal -1/36 binary64)
(- (* 1/32400 (pow x 4)) 1/36)
(fma.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64))
(- (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2)))) 1/36)
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 x (.f64 x #s(literal -1/255150 binary64)) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64))
(- (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)))) 1/36)
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/8037225 binary64) #s(literal -1/255150 binary64)) #s(literal 1/32400 binary64)) #s(literal -1/36 binary64))
(* 1/8037225 (pow x 8))
(*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (+.f64 (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (.f64 x x))) (/.f64 #s(literal 1/32400 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/32400 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 8 binary64))))))
(* 1/8037225 (pow x 8))
(*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (+.f64 (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (.f64 x x))) (/.f64 #s(literal 1/32400 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/32400 binary64) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 8 binary64))))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(* -1/180 (pow x 4))
(.f64 x (.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* -1/180 (pow x 4))
(.f64 x (.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* -1/180 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(* -1/180 (pow x 2))
(.f64 x (.f64 x #s(literal -1/180 binary64)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(* -1/180 (pow x 2))
(.f64 x (.f64 x #s(literal -1/180 binary64)))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(fma.f64 x (*.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(* 1/2835 (pow x 5))
(.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* 1/2835 (pow x 5))
(.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) x))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
(/ 1/6 (pow x 3))
(/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 3))
(/.f64 (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (.f64 x (*.f64 x x)))
(/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 3))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))
(/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 3))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)) (.f64 x (.f64 x x)))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* x (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/180 binary64) x) (*.f64 x #s(literal 1/2835 binary64)))
(* x (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 x (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/180 binary64) x)))
(* x (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 x (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/180 binary64) x)))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* -1 (* x (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
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(* 1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x #s(literal 1/120 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/5040 binary64))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(fma.f64 x (.f64 x #s(literal 1/120 binary64)) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/5040 binary64))))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(* 1/2835 (pow x 3))
(.f64 #s(literal 1/2835 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(* 1/2835 (pow x 3))
(.f64 #s(literal 1/2835 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(* -1/1080 x)
(*.f64 x #s(literal -1/1080 binary64))
(* x (- (* 1/17010 (pow x 2)) 1/1080))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/17010 binary64)) #s(literal -1/1080 binary64)))
(* x (- (* 1/17010 (pow x 2)) 1/1080))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/17010 binary64)) #s(literal -1/1080 binary64)))
(* x (- (* 1/17010 (pow x 2)) 1/1080))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/17010 binary64)) #s(literal -1/1080 binary64)))
(* 1/17010 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/17010 binary64))
(* (pow x 3) (- 1/17010 (* 1/1080 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/17010 binary64)) #s(literal -1/1080 binary64)))
(* (pow x 3) (- 1/17010 (* 1/1080 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/17010 binary64)) #s(literal -1/1080 binary64)))
(* (pow x 3) (- 1/17010 (* 1/1080 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/17010 binary64)) #s(literal -1/1080 binary64)))
(* 1/17010 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/17010 binary64))
(* -1 (* (pow x 3) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010)))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/17010 binary64)) #s(literal -1/1080 binary64)))
(* -1 (* (pow x 3) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010)))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/17010 binary64)) #s(literal -1/1080 binary64)))
(* -1 (* (pow x 3) (- (* 1/1080 (/ 1 (pow x 2))) 1/17010)))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/17010 binary64)) #s(literal -1/1080 binary64)))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* 1/5040 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(+ 1/120 (* 1/5040 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))

eval607.0ms (4.3%)

Memory: -11.3MiB live, 309.4MiB allocated
Compiler: Compiled 59 009 to 3 655 computations (93.8% saved)

prune344.0ms (2.5%)

Memory

-20.4MiB live, 257.3MiB allocated

Pruning

25 alts after pruning (18 fresh and 7 done)

	Pruned	Kept	Total
New	1 318	12	1 330
Fresh	7	6	13
Picked	4	1	5
Done	0	6	6
Total	1 329	25	1 354

Accuracy

99.0%

Counts

1 354 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.4%	(fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	97.1%	(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))
	97.4%	(/.f64 (.f64 x (.f64 x (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x x)))) #s(literal -1/36 binary64)))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))
	97.4%	(/.f64 (.f64 x (.f64 x #s(literal 1/216 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/1080 binary64) #s(literal 1/36 binary64)))
	97.4%	(/.f64 (.f64 x (.f64 x #s(literal 1/216 binary64))) #s(literal 1/36 binary64))
	97.4%	(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
	97.4%	(.f64 (/.f64 (.f64 x #s(literal 1/216 binary64)) (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)) (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)))) #s(literal 1/36 binary64)))) x)
	97.3%	(.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) x)
	28.9%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
✓	97.1%	(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))
✓	97.4%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	97.6%	(.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
	97.2%	(.f64 x (/.f64 (.f64 x #s(literal -1/36 binary64)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
✓	97.5%	(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
✓	97.3%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	50.5%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
	44.3%	(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) x)))
	97.5%	(log1p.f64 (.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))))
	97.3%	(log1p.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	97.5%	(log1p.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))
	49.9%	(log1p.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
	49.6%	(log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
	49.3%	(log.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64)))
✓	50.5%	(log.f64 (/.f64 (sinh.f64 x) x))
	44.1%	(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sinh.f64 x)))

Compiler

Compiled 1 567 to 448 computations (71.4% saved)

regimes37.0ms (0.3%)

Memory

12.4MiB live, 86.3MiB allocated

Counts

47 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))
(/.f64 (.f64 x (.f64 x #s(literal 1/216 binary64))) #s(literal 1/36 binary64))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(/.f64 (.f64 x (.f64 x #s(literal 1/216 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/1080 binary64) #s(literal 1/36 binary64)))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 x (/.f64 (.f64 x #s(literal -1/36 binary64)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))
(.f64 x (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x)))
(.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
(.f64 x (.f64 (.f64 x (+.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 x (.f64 x (.f64 x x)))))
(.f64 x (.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))
(.f64 (.f64 x (+.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(.f64 (.f64 (.f64 x (+.f64 (/.f64 #s(literal -1/180 binary64) (.f64 x x)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))))) x) (.f64 x (.f64 x (.f64 x x))))
(.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
(/.f64 (.f64 x (.f64 x (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x x)))) #s(literal -1/36 binary64)))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)))
(.f64 (/.f64 (.f64 x #s(literal 1/216 binary64)) (fma.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)) (fma.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x)))) #s(literal 1/36 binary64)))) x)
(/.f64 (.f64 x (.f64 x #s(literal 1/216 binary64))) (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)))))
(log1p.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(log.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
(log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(log.f64 (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))))
(log1p.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
(log1p.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))
(log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(log.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))) #s(literal 1 binary64)))
(log1p.f64 (.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))))
(log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(log.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (/.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)) x) (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64))) (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64) (fma.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.f64 x (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64)))) (.f64 (.f64 x x) (fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) #s(literal 1/216 binary64)))))
(log.f64 (/.f64 (sinh.f64 x) x))
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sinh.f64 x)))
(neg.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) x)))
(.f64 x (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))) (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x)))) (fma.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (-.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))) (.f64 x #s(literal 1/6 binary64)))))))
(+.f64 (log.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1/2 binary64) x)))

Outputs

(*.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))

Calls

3 calls:

13.0ms	x
12.0ms	(log.f64 (/.f64 (sinh.f64 x) x))
9.0ms	(/.f64 (sinh.f64 x) x)

Results

Accuracy	Segments	Branch
97.6%	1	`x`
97.6%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
97.6%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes17.0ms (0.1%)

Memory

-22.9MiB live, 36.1MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))
(/.f64 (.f64 x (.f64 x #s(literal 1/216 binary64))) #s(literal 1/36 binary64))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(/.f64 (.f64 x (.f64 x #s(literal 1/216 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/1080 binary64) #s(literal 1/36 binary64)))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x x) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 x (/.f64 (.f64 x #s(literal -1/36 binary64)) (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal 1/6 binary64))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) (.f64 x x)) (fma.f64 x (.f64 x #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))
(.f64 x (.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x)))

Outputs
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))

Calls

3 calls:

9.0ms	x
3.0ms	(/.f64 (sinh.f64 x) x)
3.0ms	(log.f64 (/.f64 (sinh.f64 x) x))

Results

Accuracy	Segments	Branch
97.5%	1	`x`
97.5%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
97.5%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes6.0ms (0%)

Memory

10.0MiB live, 10.0MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))
(/.f64 (.f64 x (.f64 x #s(literal 1/216 binary64))) #s(literal 1/36 binary64))

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

Calls

3 calls:

2.0ms	x
2.0ms	(/.f64 (sinh.f64 x) x)
2.0ms	(log.f64 (/.f64 (sinh.f64 x) x))

Results

Accuracy	Segments	Branch
97.4%	1	`x`
97.4%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
97.4%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes3.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	x
1.0ms	(log.f64 (/.f64 (sinh.f64 x) x))
1.0ms	(/.f64 (sinh.f64 x) x)

Results

Accuracy	Segments	Branch
97.3%	1	`x`
97.3%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
97.3%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify7.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	51
1	35	51

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))

Outputs
(.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64)) x) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
(.f64 x (/.f64 (.f64 x (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/32400 binary64) #s(literal -1/36 binary64))) (fma.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) #s(literal -1/6 binary64))))
(.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))

soundness565.0ms (4%)

Memory

-18.9MiB live, 414.6MiB allocated

Rules

16 092×	`accelerator-lowering-fma.f32`
16 092×	`accelerator-lowering-fma.f64`
11 092×	`accelerator-lowering-fma.f32`
11 092×	`accelerator-lowering-fma.f64`
5 106×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	394
1	157	390
2	395	384
3	1186	384
4	2106	384
5	3935	384
6	4551	380
7	4952	380
8	6424	380
0	8057	362
0	260	2726
1	693	2722
2	1827	2710
3	4688	2710
0	8176	2569
0	34	181
1	209	180
2	1651	180
0	8457	158

Stop Event

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

Compiler

Compiled 130 to 74 computations (43.1% saved)

preprocess88.0ms (0.6%)

Memory: 34.5MiB live, 150.7MiB allocated
Remove: (abs x)
Compiler: Compiled 394 to 226 computations (42.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze99.0ms (0.7%)

sample3.7s (26.2%)

preprocess188.0ms (1.3%)

explain239.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify115.0ms (0.8%)

localize79.0ms (0.6%)

series132.0ms (0.9%)

rewrite248.0ms (1.8%)

simplify404.0ms (2.9%)

eval92.0ms (0.7%)

prune61.0ms (0.4%)

simplify454.0ms (3.3%)

localize356.0ms (2.5%)

series279.0ms (2%)

rewrite585.0ms (4.2%)

simplify491.0ms (3.5%)

eval194.0ms (1.4%)

prune259.0ms (1.9%)

simplify385.0ms (2.8%)

localize349.0ms (2.5%)

series12.0ms (0.1%)

rewrite439.0ms (3.1%)

simplify648.0ms (4.6%)

eval171.0ms (1.2%)

prune168.0ms (1.2%)

simplify563.0ms (4%)

localize463.0ms (3.3%)

series18.0ms (0.1%)

rewrite503.0ms (3.6%)

simplify645.0ms (4.6%)

eval607.0ms (4.3%)

prune344.0ms (2.5%)

regimes37.0ms (0.3%)

regimes17.0ms (0.1%)

regimes6.0ms (0%)

regimes3.0ms (0%)

simplify7.0ms (0.1%)

soundness565.0ms (4%)

preprocess88.0ms (0.6%)

end0.0ms (0%)

Profiling