Metrics for bug500, discussion (missed optimization)

analyze101.0ms (0.8%)

Memory

15.6MiB live, 178.1MiB 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)

sample4.0s (30.2%)

Memory

-71.6MiB live, 3 762.8MiB allocated

Samples

2.3s	5 508×	2	valid
741.0ms	7 941×	1	exit
316.0ms	2 394×	1	valid
31.0ms	354×	0	valid
1.0ms	1×	5	exit

Precisions

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

ival-log: 1.5s (55% of total)

ival-sinh: 750.0ms (27.7% of total)

ival-div: 264.0ms (9.8% of total)

adjust: 181.0ms (6.7% of total)

ival-true: 14.0ms (0.5% of total)

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

Bogosity

preprocess181.0ms (1.4%)

Memory

-8.0MiB live, 125.3MiB allocated

Algorithm

1×	egg-herbie

Rules

1 072×	`lower-fma.f64`
1 072×	`lower-fma.f32`
784×	`lower-*.f64`
784×	`lower-*.f32`
648×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	20	15
2	53	15
3	148	15
4	446	15
5	1346	15
6	2402	15
7	2924	15
8	3206	15
9	3244	15
10	3246	15
11	3246	15
0	4	5
0	7	5
1	13	5
2	26	5
3	52	5
4	93	5
5	178	5
6	374	5
7	644	5
8	1118	5
9	1798	5
10	1910	5
11	1972	5
12	2145	5
13	2345	5
14	2419	5
15	2456	5
16	2456	5
17	2480	5
0	2480	5

Stop Event

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

Calls

Call 1

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

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

explain203.0ms (1.5%)

Memory

-15.3MiB live, 220.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
149	106	(9.465420018283317e-297)	-	`(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	5	0
↳	`(sinh.f64 x)`	overflow	5
↳	`(/.f64 (sinh.f64 x) x)`	overflow	5

Confusion

	Predicted +	Predicted -
+	149	0
-	106	1

Precision

0.5843137254901961

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	149	0	0
-	106	0	1

Precision?

0.5843137254901961

Recall?

1.0

Freqs

test

number	freq
0	1
1	255

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

111.0ms	314×	2	valid
29.0ms	184×	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: 120.0ms

ival-log: 69.0ms (57.6% of total)

ival-sinh: 32.0ms (26.7% of total)

ival-div: 12.0ms (10% of total)

adjust: 6.0ms (5% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.2%	(log.f64 (/.f64 (sinh.f64 x) x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify127.0ms (1%)

Memory

18.4MiB live, 94.8MiB 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×	`lower-fma.f64`
1 072×	`lower-fma.f32`
784×	`lower-*.f64`
784×	`lower-*.f32`
584×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
0	7	12
1	13	12
2	26	12
3	52	12
4	93	12
5	178	12
6	374	12
7	644	12
8	1118	12
9	1798	12
10	1910	12
11	1972	12
12	2145	12
13	2345	12
14	2419	12
15	2456	12
16	2456	12
17	2480	12
0	2480	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize85.0ms (0.6%)

Memory

2.6MiB live, 116.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sinh.f64 x)
✓	accuracy	100.0%	(/.f64 (sinh.f64 x) x)
✓	accuracy	47.2%	(log.f64 (/.f64 (sinh.f64 x) x))

Samples

64.0ms	157×	2	valid
13.0ms	92×	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: 67.0ms

ival-log: 44.0ms (65.8% of total)

ival-sinh: 15.0ms (22.4% of total)

ival-div: 5.0ms (7.5% of total)

adjust: 3.0ms (4.5% of total)

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

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

series75.0ms (0.6%)

Memory

-30.0MiB live, 143.0MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (log.f64 (/.f64 (sinh.f64 x) x))>
#<alt (/.f64 (sinh.f64 x) x)>
#<alt (sinh.f64 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
36.0ms	x	@	inf	(log (/ (sinh x) x))
36.0ms	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)

rewrite309.0ms (2.3%)

Memory

17.3MiB live, 290.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 024×	`lower-*.f64`
4 024×	`lower-*.f32`
3 684×	`lower-/.f32`
3 682×	`lower-/.f64`
2 016×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	11
0	7	11
1	23	11
2	124	11
3	931	11
0	8549	11

Stop Event

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

Counts

3 → 444

Calls

Call 1

Inputs
(log.f64 (/.f64 (sinh.f64 x) x))
(/.f64 (sinh.f64 x) x)
(sinh.f64 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) x) #s(literal 2 binary64))) (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 (/.f64 x (sinh.f64 x)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1 binary64)))
(+.f64 (neg.f64 (log.f64 (*.f64 (/.f64 x (sinh.f64 x)) #s(literal 1/2 binary64)))) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (.f64 (/.f64 x (sinh.f64 x)) #s(literal 1/2 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) x) #s(literal 2 binary64))) (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 #s(literal -2 binary64) (/.f64 (sinh.f64 x) 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) x) #s(literal 2 binary64)))) (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 (/.f64 x (sinh.f64 x)) #s(literal 1/2 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)))
(fma.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 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))))))
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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 (neg.f64 (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sinh.f64 x) #s(literal 2 binary64)))) (sinh.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 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 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) (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 #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))))))
(*.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)))

simplify395.0ms (3%)

Memory

19.0MiB live, 531.7MiB allocated

Algorithm

1×	egg-herbie

Rules

16 092×	`lower-fma.f64`
16 092×	`lower-fma.f32`
4 562×	`lower-*.f64`
4 562×	`lower-*.f32`
2 156×	`lower-+.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 → 35

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))))

eval68.0ms (0.5%)

Memory: 5.5MiB live, 150.3MiB allocated
Compiler: Compiled 9 207 to 1 608 computations (82.5% saved)

prune66.0ms (0.5%)

Memory

8.4MiB live, 168.6MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	469	10	479
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	469	11	480

Accuracy

98.1%

Counts

480 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.8%	(/.f64 (.f64 (log.f64 (.f64 (sinh.f64 x) x)) (log.f64 (/.f64 x (sinh.f64 x)))) (neg.f64 (log.f64 (*.f64 (sinh.f64 x) x))))
	1.5%	(-.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)))))))
▶	97.3%	(.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)))
▶	97.4%	(.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))
▶	47.2%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
	47.0%	(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)))
▶	46.9%	(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)))
	46.8%	(log.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64)))
✓	47.2%	(log.f64 (/.f64 (sinh.f64 x) x))

Compiler

Compiled 304 to 186 computations (38.8% saved)

simplify493.0ms (3.7%)

Memory

-9.4MiB live, 521.7MiB 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×	`lower-fma.f32`
14 118×	`lower-fma.f64`
3 744×	`lower-*.f32`
3 728×	`lower-*.f64`
2 072×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	191
0	54	191
1	132	191
2	351	191
3	762	191
4	1334	191
5	1914	191
6	2047	191
7	2400	191
8	2714	191
9	2861	191
10	3155	191
11	3741	191
12	4116	191
13	6285	191
14	7175	191
15	7216	191
16	7240	191
17	7246	191
18	7248	191
0	8006	190

Stop Event

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

Calls

Call 1

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

localize476.0ms (3.6%)

Memory

7.7MiB live, 410.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sinh.f64 x)
✓	accuracy	100.0%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
✓	accuracy	100.0%	(/.f64 x (sinh.f64 x))
✓	accuracy	47.2%	(log.f64 (/.f64 x (sinh.f64 x)))
✓	accuracy	100.0%	(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
✓	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	99.8%	(*.f64 x #s(literal 1/120 binary64))
✓	accuracy	49.1%	(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) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
✓	accuracy	100.0%	(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))
✓	accuracy	99.7%	(.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	99.4%	(.f64 x (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.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	99.7%	(.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	99.4%	(.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	99.4%	(*.f64 x #s(literal 1/2835 binary64))

Samples

145.0ms	153×	2	valid
63.0ms	94×	1	valid
2.0ms	8×	0	valid
2.0ms	1×	3	valid

Compiler

Compiled 215 to 36 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-log: 45.0ms (25.6% of total)

ival-mult: 44.0ms (25% of total)

const: 24.0ms (13.6% of total)

adjust: 22.0ms (12.5% of total)

ival-sinh: 16.0ms (9.1% of total)

ival-add: 15.0ms (8.5% of total)

ival-div: 5.0ms (2.8% of total)

ival-log1p: 3.0ms (1.7% of total)

ival-neg: 3.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series102.0ms (0.8%)

Memory

11.7MiB live, 85.4MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (.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))))>
#<alt (.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)))>
#<alt (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))>
#<alt (*.f64 x x)>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 x x))>
#<alt (.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)))>
#<alt (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))>
#<alt (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))>
#<alt (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)))>
#<alt (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))>
#<alt (neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))>
#<alt (log.f64 (/.f64 x (sinh.f64 x)))>
#<alt (/.f64 x (sinh.f64 x))>
#<alt (sinh.f64 x)>
#<alt (*.f64 x #s(literal 1/2835 binary64))>
#<alt (.f64 x (fma.f64 (.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))>
#<alt (*.f64 x #s(literal 1/120 binary64))>

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
40.0ms	x	@	-inf	(neg (log (/ x (sinh x))))
32.0ms	x	@	-inf	(log (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1))
17.0ms	x	@	inf	(neg (log (/ x (sinh x))))
1.0ms	x	@	0	(log (+ (* (* x x) (+ (* x (* x 1/120)) 1/6)) 1))
1.0ms	x	@	0	(neg (log (/ x (sinh x))))

rewrite341.0ms (2.6%)

Memory

-29.4MiB live, 454.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 262×	`lower-*.f32`
5 246×	`lower-*.f64`
4 120×	`lower-fma.f32`
4 106×	`lower-fma.f64`
3 948×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	160
0	54	160
1	229	159
2	1681	159
0	8085	158

Stop Event

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

Counts

19 → 471

Calls

Call 1

Inputs
(.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 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)))
(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 x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.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)))
(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))
(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))
(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)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
(log.f64 (/.f64 x (sinh.f64 x)))
(/.f64 x (sinh.f64 x))
(sinh.f64 x)
(*.f64 x #s(literal 1/2835 binary64))
(.f64 x (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 x #s(literal 1/120 binary64))

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

simplify391.0ms (2.9%)

Memory

29.4MiB live, 498.0MiB allocated

Algorithm

1×	egg-herbie

Rules

15 508×	`lower-fma.f64`
15 508×	`lower-fma.f32`
4 052×	`lower-*.f64`
4 052×	`lower-*.f32`
4 028×	`lower-+.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 → 227

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)))))
(.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)))))))
1/6
#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) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))
(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 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/37800 binary64))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
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(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
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(* 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))

eval142.0ms (1.1%)

Memory: -12.6MiB live, 184.8MiB allocated
Compiler: Compiled 24 412 to 2 173 computations (91.1% saved)

prune94.0ms (0.7%)

Memory

9.8MiB live, 206.4MiB allocated

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	774	14	788
Fresh	1	4	5
Picked	2	3	5
Done	0	1	1
Total	777	22	799

Accuracy

98.3%

Counts

799 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(fma.f64 (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)) (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
	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 x (.f64 x #s(literal 1/6 binary64))))
	97.2%	(/.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 (.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 x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.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))))))
	97.4%	(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.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)))
	5.8%	(/.f64 (.f64 (log.f64 (.f64 (sinh.f64 x) x)) (log.f64 (/.f64 x (sinh.f64 x)))) (neg.f64 (log.f64 (*.f64 (sinh.f64 x) x))))
	1.5%	(-.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)))))))
	97.4%	(.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))
✓	97.3%	(.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)))
	97.0%	(.f64 (.f64 x x) (/.f64 (.f64 (-.f64 (pow.f64 (.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 6 binary64)) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.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)))) (.f64 (.f64 x x) (.f64 (.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))) (.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 1/216 binary64)) (-.f64 (fma.f64 (.f64 x x) (.f64 (.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))) (.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 1/36 binary64)) (.f64 x (.f64 (.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)))))))
▶	97.3%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	97.3%	(.f64 x (/.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 #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)))))
▶	97.3%	(.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 (.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 x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.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)))))))
	97.4%	(.f64 x (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.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))))
	20.8%	(.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)))
	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))
✓	47.2%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
▶	97.5%	(log1p.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))
	47.0%	(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)))
▶	46.8%	(log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
✓	47.2%	(log.f64 (/.f64 (sinh.f64 x) x))
	1.8%	(log.f64 (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))))

Compiler

Compiled 1 264 to 500 computations (60.4% saved)

simplify546.0ms (4.1%)

Memory

15.2MiB live, 618.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	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 (.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)
✓	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 (.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 x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.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))))))
✓	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 (.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 x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.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)))))))
✓	cost-diff	1792	(-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.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)))))
✓	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	(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(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))
✓	cost-diff	640	(fma.f64 (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)) (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
✓	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

22 888×	`lower-fma.f32`
22 872×	`lower-fma.f64`
4 934×	`lower-+.f64`
4 934×	`lower-+.f32`
3 184×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	516
0	74	516
1	171	427
2	531	393
3	2681	393
4	4350	393
5	7661	393
0	8471	381

Stop Event

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

Calls

Call 1

Inputs
(log1p.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
x
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(*.f64 x x)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
(fma.f64 (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)) (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(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))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
#s(literal -1/37800 binary64)
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(*.f64 x x)
x
#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 x (.f64 (.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 x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.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
(/.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 (.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 x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.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))))))
(.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 (.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)
(fma.f64 (.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 (.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 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))
(*.f64 x #s(literal 1/2835 binary64))
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
(.f64 x (.f64 (.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 (.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 x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.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)))))
(fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64))
(*.f64 x x)
(.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))
#s(literal 1/36 binary64)
(.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))))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)

Outputs
(log1p.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))
(log1p.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
x
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(*.f64 x x)
#s(literal 1/120 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 x #s(literal 1/6 binary64))
x
#s(literal 1/6 binary64)
(fma.f64 (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)) (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 (.f64 x x) (fma.f64 (.f64 x 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)))
(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))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
#s(literal -1/37800 binary64)
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(log1p.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 x x)
x
#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 x (.f64 (.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 x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.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)))))))
(.f64 (.f64 x x) (/.f64 (fma.f64 (.f64 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))))) (.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 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 (.f64 x 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))) #s(literal 1/36 binary64))))
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 (.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 x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.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))))))
(.f64 (fma.f64 (.f64 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))))) (.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)) (/.f64 x (fma.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) (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))))
(.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 (.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 x (fma.f64 (.f64 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))))) (.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 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) (.f64 x (.f64 (.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))
(fma.f64 (.f64 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))))) (.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))
(.f64 x (.f64 x (fma.f64 x (*.f64 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)))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(.f64 x (fma.f64 (.f64 x 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))
(fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))
(*.f64 x #s(literal 1/2835 binary64))
#s(literal 1/2835 binary64)
#s(literal -1/180 binary64)
(.f64 x (.f64 (.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 (.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))))))
(.f64 (.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 (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 1/216 binary64)
(-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.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)))))
(fma.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) (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))
(fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.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 (.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))
(*.f64 x x)
(.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))
(.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)
(.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))))
(.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))) #s(literal -1/1080 binary64)))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)

localize215.0ms (1.6%)

Memory

-8.0MiB live, 227.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	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 (.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 x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.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))))))
✓	accuracy	99.4%	(*.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	49.1%	(log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	99.7%	(.f64 x (.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	99.7%	(.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	99.7%	(.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

116.0ms	255×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 573 to 47 computations (91.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

const: 41.0ms (42.4% of total)

ival-mult: 40.0ms (41.4% of total)

ival-add: 8.0ms (8.3% of total)

ival-log1p: 4.0ms (4.1% of total)

ival-div: 2.0ms (2.1% of total)

ival-sub: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory

-17.9MiB live, 20.6MiB allocated

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (log1p.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))>
#<alt (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))>
#<alt (.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))>
#<alt (.f64 (.f64 x #s(literal 1/6 binary64)) x)>
#<alt (*.f64 x #s(literal 1/6 binary64))>
#<alt (fma.f64 (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)) (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))>
#<alt (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))>
#<alt (*.f64 x x)>
#<alt (fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))>
#<alt (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))>
#<alt (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.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)))))>
#<alt (.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 (.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 x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.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)))))))>
#<alt (/.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 (.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 x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.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))))))>
#<alt (.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 (.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)>
#<alt (.f64 x (.f64 x #s(literal 1/6 binary64)))>
#<alt (.f64 (.f64 x x) (*.f64 x x))>
#<alt (*.f64 x #s(literal 1/2835 binary64))>
#<alt (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))>

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 (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 -1/180>
#<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 (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 1/2835>
#<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 (* 1/6 (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 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 (* 1/6 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 (* 1/216 x)>
#<alt (* x (+ 1/216 (* -1/5832000 (pow x 6))))>
#<alt (* x (+ 1/216 (* (pow x 6) (- (* 1/30618000 (pow x 2)) 1/5832000))))>
#<alt (* x (+ 1/216 (* (pow x 6) (- (* (pow x 2) (+ 1/30618000 (* -1/482233500 (pow x 2)))) 1/5832000))))>
#<alt (* 1/22785532875 (pow x 13))>
#<alt (* (pow x 13) (- 1/22785532875 (* 1/482233500 (/ 1 (pow x 2)))))>
#<alt (* (pow x 13) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (* 1/482233500 (/ 1 (pow x 2)))))>
#<alt (* (pow x 13) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6))))))>
#<alt (* 1/22785532875 (pow x 13))>
#<alt (* -1 (* (pow x 13) (- (* 1/482233500 (/ 1 (pow x 2))) 1/22785532875)))>
#<alt (* -1 (* (pow x 13) (- (* 1/482233500 (/ 1 (pow x 2))) (+ 1/22785532875 (/ 1/30618000 (pow x 4))))))>
#<alt (* -1 (* (pow x 13) (- (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6)))) (+ 1/22785532875 (/ 1/30618000 (pow x 4))))))>
#<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 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* 1/2835 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 (* 1/32400 (pow x 2))>
#<alt (* (pow x 2) (+ 1/32400 (* -1/255150 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))>
#<alt (* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))>
#<alt (* 1/8037225 (pow x 6))>
#<alt (* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* 1/8037225 (pow x 6))>
#<alt (* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))>

Calls

60 calls:

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

rewrite698.0ms (5.2%)

Memory

13.1MiB live, 494.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 914×	`lower-fma.f32`
6 898×	`lower-fma.f64`
4 842×	`lower-*.f32`
4 810×	`lower-*.f64`
3 394×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	346
0	74	293
1	311	250
2	2374	250
0	8490	243

Stop Event

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

Counts

20 → 547

Calls

Call 1

Inputs
(log1p.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(*.f64 x #s(literal 1/6 binary64))
(fma.f64 (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)) (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(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))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal -1/37800 binary64) #s(literal 1/2835 binary64))
(log.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.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)))))
(.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 (.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 x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.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)))))))
(/.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 (.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 x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.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))))))
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(.f64 x (.f64 x #s(literal 1/6 binary64)))
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(*.f64 x #s(literal 1/2835 binary64))
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Outputs
(log.f64 (fma.f64 x (.f64 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 x (.f64 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 x (.f64 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 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (-.f64 (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)))))
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(fma.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/2835 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.f64 (.f64 x #s(literal -1/180 binary64)) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))
(/.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (fma.f64 #s(literal 1/22785532875 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/5832000 binary64))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/8037225 binary64) (-.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) #s(literal -1/510300 binary64)))))
(/.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/8037225 binary64) #s(literal -1/32400 binary64))) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/22785532875 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/5832000 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/8037225 binary64) (-.f64 #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)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (fma.f64 #s(literal 1/22785532875 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/5832000 binary64)))) (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/8037225 binary64) (-.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) #s(literal -1/510300 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/8037225 binary64) #s(literal -1/32400 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/22785532875 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/5832000 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/8037225 binary64) (-.f64 #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)) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal 1/180 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.f64 (.f64 x x) (.f64 x #s(literal 1/2835 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.f64 x #s(literal -1/180 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.f64 (.f64 x x) (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.f64 (.f64 x x) (.f64 x #s(literal 1/2835 binary64)))) (-.f64 (.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.f64 x #s(literal -1/180 binary64))) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.f64 x #s(literal -1/180 binary64)))) (.f64 (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.f64 (.f64 x x) (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.f64 x #s(literal -1/180 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/180 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/180 binary64)) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/180 binary64)) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/180 binary64)) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/180 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/180 binary64)) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/180 binary64))) (.f64 (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal -1/180 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/2835 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x #s(literal -1/180 binary64)) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/2835 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/2835 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (-.f64 (.f64 (.f64 (.f64 x #s(literal -1/180 binary64)) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 x #s(literal -1/180 binary64)) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 x #s(literal 1/2835 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 x #s(literal -1/180 binary64)) (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 #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 3 binary64)) (pow.f64 (.f64 (.f64 x (.f64 x #s(literal 1/2835 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (-.f64 (.f64 (.f64 (.f64 x (.f64 x #s(literal 1/2835 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 1/2835 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (.f64 (.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 1/2835 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x (.f64 x #s(literal 1/2835 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 #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 3 binary64))) (fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/2835 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 (.f64 x (.f64 x #s(literal 1/2835 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (-.f64 (.f64 (.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (.f64 (.f64 (.f64 x (.f64 x #s(literal 1/2835 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) (.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))))
(pow.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) #s(literal 2 binary64))
(.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))
(.f64 x (.f64 x (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))
(.f64 (.f64 x x) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))
(.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))))
(.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))
(.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) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))
(.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))) x)
(.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (*.f64 x x))
(.f64 (exp.f64 (log.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))) (exp.f64 (log.f64 (.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))))))

simplify724.0ms (5.4%)

Memory

-25.9MiB live, 505.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 544×	`lower-fma.f64`
8 544×	`lower-fma.f32`
4 112×	`lower-*.f64`
4 112×	`lower-*.f32`
3 346×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	273	2144
1	747	2142
2	1875	2134
3	4933	2134
0	8164	2017

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 (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)))))
-1/180
(- (* 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)))))
(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)
1/2835
(+ 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))
(* 1/6 (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))))
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)))))
(* 1/6 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))))))
(* 1/216 x)
(* x (+ 1/216 (* -1/5832000 (pow x 6))))
(* x (+ 1/216 (* (pow x 6) (- (* 1/30618000 (pow x 2)) 1/5832000))))
(* x (+ 1/216 (* (pow x 6) (- (* (pow x 2) (+ 1/30618000 (* -1/482233500 (pow x 2)))) 1/5832000))))
(* 1/22785532875 (pow x 13))
(* (pow x 13) (- 1/22785532875 (* 1/482233500 (/ 1 (pow x 2)))))
(* (pow x 13) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (* 1/482233500 (/ 1 (pow x 2)))))
(* (pow x 13) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6))))))
(* 1/22785532875 (pow x 13))
(* -1 (* (pow x 13) (- (* 1/482233500 (/ 1 (pow x 2))) 1/22785532875)))
(* -1 (* (pow x 13) (- (* 1/482233500 (/ 1 (pow x 2))) (+ 1/22785532875 (/ 1/30618000 (pow x 4))))))
(* -1 (* (pow x 13) (- (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6)))) (+ 1/22785532875 (/ 1/30618000 (pow x 4))))))
(* 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 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 1/2835 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)
(* 1/32400 (pow x 2))
(* (pow x 2) (+ 1/32400 (* -1/255150 (pow x 2))))
(* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))
(* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))
(* 1/8037225 (pow x 6))
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* 1/8037225 (pow x 6))
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 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) (- (* 1/6480 (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 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 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 (fma.f64 #s(literal 4 binary64) (log.f64 x) (/.f64 #s(literal 20 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 800/3 binary64) (pow.f64 x #s(literal 6 binary64))) (/.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)))))
(fma.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal 1/120 binary64)) (/.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 (+.f64 (log.f64 #s(literal 1/120 binary64)) (/.f64 #s(literal 20 binary64) (.f64 x x))) (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))))))
(- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))
(+.f64 (fma.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal 1/120 binary64)) (+.f64 (/.f64 #s(literal 20 binary64) (.f64 x x)) (/.f64 #s(literal 800/3 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.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 (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) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 x (.f64 x (fma.f64 (.f64 x 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))))
(* -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 1/2835 binary64) (.f64 x x)) (+.f64 #s(literal -1/37800 binary64) (/.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 (+.f64 (+.f64 #s(literal -1/37800 binary64) (/.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)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (+.f64 #s(literal -1/37800 binary64) (/.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 (+.f64 (+.f64 #s(literal -1/37800 binary64) (/.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))))))
-1/180
#s(literal -1/180 binary64)
(- (* 1/2835 (pow x 2)) 1/180)
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)
(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))
(- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)
(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))
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(.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 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(* 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))
(* 1/32400 (pow x 2))
(.f64 x (.f64 x #s(literal 1/32400 binary64)))
(* (pow x 2) (+ 1/32400 (* -1/255150 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/255150 binary64)) #s(literal 1/32400 binary64))))
(* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))
(.f64 (.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)))
(* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))
(.f64 (.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)))
(* 1/8037225 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8037225 binary64))
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 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 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 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))))))
(* 1/8037225 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8037225 binary64))
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 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 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 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))))))

eval399.0ms (3%)

Memory: 37.5MiB live, 343.5MiB allocated
Compiler: Compiled 57 301 to 2 555 computations (95.5% saved)

prune174.0ms (1.3%)

Memory

-5.2MiB live, 198.8MiB allocated

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	1 015	5	1 020
Fresh	4	9	13
Picked	2	3	5
Done	0	4	4
Total	1 021	21	1 042

Accuracy

98.3%

Counts

1 042 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.3%	(fma.f64 (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)) (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
	97.2%	(fma.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
	97.4%	(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.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)))
	5.8%	(/.f64 (.f64 (log.f64 (.f64 (sinh.f64 x) x)) (log.f64 (/.f64 x (sinh.f64 x)))) (neg.f64 (log.f64 (*.f64 (sinh.f64 x) x))))
	1.5%	(-.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)))))))
	97.4%	(.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))
	97.4%	(.f64 (.f64 x (fma.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.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))))))) #s(literal 1/216 binary64))) (/.f64 x (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/36 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)))))))
✓	97.3%	(.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)))
✓	97.3%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	97.3%	(.f64 x (/.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 #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)))))
	97.1%	(.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 (.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) #s(literal 1/36 binary64)))
▶	97.4%	(.f64 x (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.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))))
▶	20.8%	(.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)))
▶	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))
✓	47.2%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 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)))))
	47.1%	(log1p.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
▶	47.0%	(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)))
✓	47.2%	(log.f64 (/.f64 (sinh.f64 x) x))

Compiler

Compiled 887 to 396 computations (55.4% saved)

simplify356.0ms (2.7%)

Memory

-8.2MiB live, 669.2MiB 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 x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 1/6 binary64))
✓	cost-diff	0	(log1p.f64 (.f64 (.f64 x x) #s(literal 1/6 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	2944	(.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 x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
✓	cost-diff	0	(fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.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 x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.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 x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.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 x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.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

13 370×	`lower-fma.f32`
13 356×	`lower-fma.f64`
5 978×	`lower-*.f32`
5 948×	`lower-*.f64`
4 372×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	407
0	75	389
1	169	361
2	487	355
3	1684	353
4	4020	353
5	4915	349
6	6510	349
7	7040	349
8	7227	349
9	7561	349
0	10166	342

Stop Event

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

Calls

Call 1

Inputs
(.f64 x (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.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))))
x
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.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 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.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 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))
(*.f64 x x)
(.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))
(*.f64 x #s(literal 1/2835 binary64))
#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))
#s(literal -1/6 binary64)
(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
x
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))
(*.f64 x x)
#s(literal -1/180 binary64)
#s(literal 1/6 binary64)
(.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)))
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 #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 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))
#s(literal 1/2835 binary64)
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
#s(literal -1/180 binary64)
(*.f64 x x)
(/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))
#s(literal 1/6 binary64)
(.f64 x (.f64 x (*.f64 x x)))
(.f64 x (.f64 x x))
(.f64 (.f64 x (.f64 x (.f64 x x))) x)
(log1p.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
x
#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)))
(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))
(*.f64 x 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))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)

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

localize255.0ms (1.9%)

Memory

17.7MiB live, 371.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(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))
✓	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	49.1%	(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	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(log1p.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/6 binary64))
✓	accuracy	99.7%	(.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	65.4%	(+.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	24.6%	(.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	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))
✓	accuracy	99.7%	(.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
✓	accuracy	99.5%	(.f64 x (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))
✓	accuracy	99.5%	(.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))
✓	accuracy	99.5%	(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.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	99.5%	(.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.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 x #s(literal 1/2835 binary64))

Samples

94.0ms	255×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 446 to 47 computations (89.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 32.0ms (44.1% of total)

const: 21.0ms (28.9% of total)

ival-add: 10.0ms (13.8% of total)

ival-div: 5.0ms (6.9% of total)

ival-log1p: 3.0ms (4.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory

-14.9MiB live, 23.4MiB allocated

Counts

21 → 252

Calls

Call 1

Inputs
#<alt (.f64 x (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.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))))>
#<alt (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.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)))>
#<alt (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64)) x)>
#<alt (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal -1/36 binary64))>
#<alt (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))>
#<alt (.f64 x (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))>
#<alt (*.f64 x x)>
#<alt (.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))>
#<alt (.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)))>
#<alt (+.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)))))>
#<alt (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))>
#<alt (log1p.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)))>
#<alt (.f64 (.f64 x x) #s(literal 1/6 binary64))>
#<alt (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)))>
#<alt (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))>
#<alt (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))>
#<alt (*.f64 x #s(literal 1/2835 binary64))>
#<alt (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))>
#<alt (/.f64 #s(literal -1/180 binary64) (*.f64 x x))>
#<alt (.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))>

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 (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* -1/180 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (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 (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 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 (* 1/6 (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 (* -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 (* 1/32400 (pow x 2))>
#<alt (* (pow x 2) (+ 1/32400 (* -1/255150 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))>
#<alt (* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))>
#<alt (* 1/8037225 (pow x 6))>
#<alt (* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* 1/8037225 (pow x 6))>
#<alt (* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (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 (/ -1/180 (pow x 2))>
#<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)))))>

Calls

63 calls:

Time	Variable		Point	Expression
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 (* x 1/2835)) -1/180)) (* 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 (* x 1/2835)) -1/180)) (* 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) -1/180) 1/6)))

rewrite387.0ms (2.9%)

Memory

34.6MiB live, 624.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 888×	`lower-fma.f32`
5 874×	`lower-fma.f64`
4 668×	`lower-*.f32`
4 638×	`lower-*.f64`
4 076×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	315
0	75	270
1	322	228
2	2682	224
0	9067	212

Stop Event

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

Counts

21 → 588

Calls

Call 1

Inputs
(.f64 x (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.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 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.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 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.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 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.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 x (fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))))
(.f64 x (fma.f64 (.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/180 binary64) #s(literal 1/6 binary64))
(*.f64 x 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 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 #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 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))
(log1p.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #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)))
(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))
(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))
(*.f64 x #s(literal 1/2835 binary64))
(.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))

Outputs
(/.f64 x (/.f64 #s(literal 1 binary64) (.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 #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 x (.f64 (.f64 (.f64 x (.f64 x x)) (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 -1/36 binary64)))))
(/.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x x)) (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 -1/36 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 (.f64 x x) (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x x)) (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 -1/36 binary64))))))
(/.f64 (.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.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 (neg.f64 (.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x x)) (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 -1/36 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 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (.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 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (.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 (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x x)) (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 -1/36 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 (.f64 (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x x)) (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 -1/36 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 (.f64 x x) (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64))))))
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(*.f64 (/.f64 #s(literal -1/180 binary64) x) (/.f64 #s(literal 1 binary64) x))
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(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (.f64 (.f64 x #s(literal 1/120 binary64)) (.f64 x #s(literal 1/120 binary64)))) (-.f64 (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 x #s(literal 1/120 binary64))))
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(.f64 x (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) x)

simplify629.0ms (4.7%)

Memory

-28.2MiB live, 542.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 736×	`lower-fma.f64`
13 736×	`lower-fma.f32`
4 654×	`lower-+.f64`
4 654×	`lower-+.f32`
4 454×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	232	2482
1	641	2480
2	1695	2464
3	4488	2464
0	8306	2351

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* -1/180 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/180))
(* -1/180 (pow x 3))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/180 (* 1/6 (/ 1 (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))
(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 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)))
(* 1/6 (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 (* -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)
(* 1/32400 (pow x 2))
(* (pow x 2) (+ 1/32400 (* -1/255150 (pow x 2))))
(* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))
(* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))
(* 1/8037225 (pow x 6))
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* 1/8037225 (pow x 6))
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (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))
(/ -1/180 (pow x 2))
(* 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)))))

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)))))
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(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))
(+.f64 (log.f64 #s(literal 1/6 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (/.f64 #s(literal 6 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 72 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -18 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(+ (log 1/6) (* -2 (log (/ -1 x))))
(fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/6 binary64)))
(+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 1/6 binary64)) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))
(+.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) (+.f64 (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -18 binary64) (.f64 x (.f64 x (.f64 x x))))) (log.f64 #s(literal 1/6 binary64))))
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))
(+.f64 (+.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 72 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (log.f64 #s(literal 1/6 binary64)) (/.f64 #s(literal -18 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 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 (.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) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (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 -53/1814400 binary64) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)) #s(literal 1/6 binary64)))
(+ (log 1/5040) (* -6 (log (/ 1 x))))
(fma.f64 #s(literal 6 binary64) (log.f64 x) (log.f64 #s(literal 1/5040 binary64)))
(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 1/5040 binary64)) (fma.f64 #s(literal 6 binary64) (log.f64 x) (/.f64 #s(literal 42 binary64) (*.f64 x x))))
(- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))
(+.f64 (fma.f64 #s(literal 6 binary64) (log.f64 x) (log.f64 #s(literal 1/5040 binary64))) (+.f64 (/.f64 #s(literal 42 binary64) (.f64 x x)) (/.f64 #s(literal -42 binary64) (.f64 x (.f64 x (.f64 x x))))))
(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))
(+.f64 (/.f64 #s(literal 42 binary64) (.f64 x x)) (+.f64 (fma.f64 #s(literal 6 binary64) (log.f64 x) (log.f64 #s(literal 1/5040 binary64))) (/.f64 (+.f64 #s(literal -42 binary64) (/.f64 #s(literal -5544 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))
(+ (log 1/5040) (* -6 (log (/ -1 x))))
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64) (log.f64 #s(literal 1/5040 binary64)))
(+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 1/5040 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64) (/.f64 #s(literal 42 binary64) (*.f64 x x))))
(- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))
(+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64) (log.f64 #s(literal 1/5040 binary64))) (+.f64 (/.f64 #s(literal 42 binary64) (.f64 x x)) (/.f64 #s(literal -42 binary64) (.f64 x (.f64 x (.f64 x x))))))
(+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))
(+.f64 (log.f64 #s(literal 1/5040 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -42 binary64) (/.f64 #s(literal -5544 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64) (/.f64 #s(literal 42 binary64) (*.f64 x 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 (.f64 x 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 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/5040 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5040 binary64))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/5040 binary64))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/5040 binary64))) #s(literal 1 binary64))
(* 1/5040 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5040 binary64))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/5040 binary64))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/5040 binary64))) #s(literal 1 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(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))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(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))
(* 1/5040 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64)))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/120 binary64) (.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))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/120 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 4))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/5040 binary64)))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/120 binary64) (.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))))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (/.f64 #s(literal 1/120 binary64) (.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))
(* 1/32400 (pow x 2))
(.f64 x (.f64 x #s(literal 1/32400 binary64)))
(* (pow x 2) (+ 1/32400 (* -1/255150 (pow x 2))))
(.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal -1/255150 binary64)) #s(literal 1/32400 binary64))))
(* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))
(.f64 (.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)))
(* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))
(.f64 (.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)))
(* 1/8037225 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8037225 binary64))
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 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 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 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))))))
(* 1/8037225 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8037225 binary64))
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 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 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 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))))))
(/ -1/180 (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))
(* 1/120 x)
(*.f64 x #s(literal 1/120 binary64))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(* 1/5040 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/5040 binary64))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 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 x (.f64 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 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))
(* 1/5040 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/5040 binary64))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 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 x (.f64 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 x (.f64 x #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))

eval131.0ms (1%)

Memory: 35.3MiB live, 262.3MiB allocated
Compiler: Compiled 37 456 to 2 827 computations (92.5% saved)

prune315.0ms (2.4%)

Memory

-27.7MiB live, 252.0MiB allocated

Pruning

27 alts after pruning (18 fresh and 9 done)

	Pruned	Kept	Total
New	980	14	994
Fresh	5	4	9
Picked	3	2	5
Done	0	7	7
Total	988	27	1 015

Accuracy

98.3%

Counts

1 015 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.3%	(fma.f64 (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)) (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
	97.2%	(fma.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1/180 binary64))) x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
	97.1%	(/.f64 (.f64 (.f64 x 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 #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))
	5.8%	(/.f64 (.f64 (log.f64 (.f64 (sinh.f64 x) x)) (log.f64 (/.f64 x (sinh.f64 x)))) (neg.f64 (log.f64 (*.f64 (sinh.f64 x) x))))
	97.3%	(/.f64 x (/.f64 #s(literal 1 binary64) (.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)))))
	97.5%	(-.f64 (log1p.f64 (.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))) (.f64 x (.f64 (.f64 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))) (.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))))))) (log1p.f64 (-.f64 (.f64 x (.f64 (.f64 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))) (.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))))) (.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))))))
	1.5%	(-.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)))))))
	0.5%	(+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64) (log.f64 #s(literal 1/5040 binary64))) (+.f64 (/.f64 #s(literal 42 binary64) (.f64 x x)) (/.f64 #s(literal -42 binary64) (.f64 x (.f64 x (.f64 x x))))))
	97.4%	(.f64 (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x x)) (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 -1/36 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))
	97.4%	(.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))
	25.3%	(.f64 (.f64 (.f64 x (+.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)))))) x) (.f64 x (.f64 x (.f64 x x))))
	27.9%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
✓	97.3%	(.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)))
✓	97.3%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	97.5%	(.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))))
	97.1%	(.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/5832000 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/1080 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))))
	20.7%	(.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)))
✓	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))
✓	47.2%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
	97.5%	(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))))
✓	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)))))
	47.1%	(log1p.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
	46.4%	(log.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/5040 binary64))) #s(literal 1 binary64)))
✓	47.2%	(log.f64 (/.f64 (sinh.f64 x) x))

Compiler

Compiled 1 768 to 515 computations (70.9% saved)

regimes33.0ms (0.2%)

Memory

26.1MiB live, 64.0MiB allocated

Counts

44 → 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))))
(fma.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1/180 binary64))) x (.f64 x (*.f64 x #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 (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 (.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 x (.f64 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 x (/.f64 #s(literal 1 binary64) (.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 (.f64 x 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 #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (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)) (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x #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 (+.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 (.f64 x (+.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)))))) x) (.f64 x (.f64 x (.f64 x x))))
(.f64 x (/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/5832000 binary64)) #s(literal 1/216 binary64)) x) (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/32400 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/1080 binary64))))))
(.f64 x (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.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 (fma.f64 x (.f64 (.f64 (.f64 x (.f64 x x)) (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 -1/36 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))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.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 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 (.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) #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)))
(.f64 x (/.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 #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)))))
(log.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 (.f64 x (*.f64 x x)) #s(literal 1/5040 binary64))) #s(literal 1 binary64)))
(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))))
(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)))
(.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 (.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 x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.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)))))))
(.f64 (.f64 x (fma.f64 x (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) (.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))))))) #s(literal 1/216 binary64))) (/.f64 x (-.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64)) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 binary64))) #s(literal 1/36 binary64)) (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 x x) #s(literal 1/2835 binary64) #s(literal -1/180 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 (.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 x) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64))) (.f64 x (fma.f64 x (.f64 x #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))) #s(literal 1/36 binary64)) (.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))))))
(log.f64 (/.f64 (sinh.f64 x) x))
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
(+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64) (log.f64 #s(literal 1/5040 binary64))) (+.f64 (/.f64 #s(literal 42 binary64) (.f64 x x)) (/.f64 #s(literal -42 binary64) (.f64 x (.f64 x (.f64 x x))))))
(.f64 (.f64 x x) (/.f64 (.f64 (-.f64 (pow.f64 (.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 6 binary64)) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.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)))) (.f64 (.f64 x x) (.f64 (.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))) (.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 1/216 binary64)) (-.f64 (fma.f64 (.f64 x x) (.f64 (.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))) (.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 1/36 binary64)) (.f64 x (.f64 (.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)))))))
(-.f64 (log1p.f64 (.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))) (.f64 x (.f64 (.f64 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))) (.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))))))) (log1p.f64 (-.f64 (.f64 x (.f64 (.f64 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))) (.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))))) (.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))))))
(/.f64 (.f64 (log.f64 (.f64 (sinh.f64 x) x)) (log.f64 (/.f64 x (sinh.f64 x)))) (neg.f64 (log.f64 (*.f64 (sinh.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)))))))

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:

11.0ms	x
10.0ms	(log.f64 (/.f64 (sinh.f64 x) x))
9.0ms	(/.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)

regimes14.0ms (0.1%)

Memory

-10.8MiB live, 27.8MiB 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))))
(fma.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1/180 binary64))) x (.f64 x (*.f64 x #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 (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 (.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 x (.f64 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 x (/.f64 #s(literal 1 binary64) (.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 (.f64 x 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 #s(literal -1/180 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (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)) (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x #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 (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))

Calls

3 calls:

5.0ms	(/.f64 (sinh.f64 x) x)
4.0ms	x
4.0ms	(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)

regimes6.0ms (0%)

Memory

15.6MiB live, 15.6MiB allocated

Counts

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

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:

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)

regimes8.0ms (0.1%)

Memory

-29.4MiB live, 11.4MiB allocated

Accuracy

Total -0.3b remaining (-15.2%)

Threshold costs -0.3b (-15.2%)

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

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

Calls

3 calls:

4.0ms	(/.f64 (sinh.f64 x) x)
2.0ms	x
2.0ms	(log.f64 (/.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)

simplify6.0ms (0%)

Memory

10.2MiB live, 10.2MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	61
1	34	61

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

soundness567.0ms (4.2%)

Memory

-7.4MiB live, 478.5MiB allocated

Rules

16 092×	`lower-fma.f64`
16 092×	`lower-fma.f32`
13 736×	`lower-fma.f64`
13 736×	`lower-fma.f32`
5 262×	`lower-*.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	232	2482
1	641	2480
2	1695	2464
3	4488	2464
0	8306	2351
0	27	160
0	54	160
1	229	159
2	1681	159
0	8085	158

Stop Event

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

Compiler

Compiled 175 to 88 computations (49.7% saved)

preprocess156.0ms (1.2%)

Memory: 13.3MiB live, 91.3MiB allocated
Compiler: Compiled 198 to 90 computations (54.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze101.0ms (0.8%)

sample4.0s (30.2%)

preprocess181.0ms (1.4%)

explain203.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify127.0ms (1%)

localize85.0ms (0.6%)

series75.0ms (0.6%)

rewrite309.0ms (2.3%)

simplify395.0ms (3%)

eval68.0ms (0.5%)

prune66.0ms (0.5%)

simplify493.0ms (3.7%)

localize476.0ms (3.6%)

series102.0ms (0.8%)

rewrite341.0ms (2.6%)

simplify391.0ms (2.9%)

eval142.0ms (1.1%)

prune94.0ms (0.7%)

simplify546.0ms (4.1%)

localize215.0ms (1.6%)

series24.0ms (0.2%)

rewrite698.0ms (5.2%)

simplify724.0ms (5.4%)

eval399.0ms (3%)

prune174.0ms (1.3%)

simplify356.0ms (2.7%)

localize255.0ms (1.9%)

series21.0ms (0.2%)

rewrite387.0ms (2.9%)

simplify629.0ms (4.7%)

eval131.0ms (1%)

prune315.0ms (2.4%)

regimes33.0ms (0.2%)

regimes14.0ms (0.1%)

regimes6.0ms (0%)

regimes8.0ms (0.1%)

simplify6.0ms (0%)

soundness567.0ms (4.2%)

preprocess156.0ms (1.2%)

end0.0ms (0%)

Profiling