Metrics for bug500, discussion (missed optimization)

analyze149.0ms (0.8%)

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 5 computations (28.6% saved)

Precisions

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

ival-log: 19.0ms (36.9% of total)

ival-div: 18.0ms (34.9% of total)

ival-sinh: 12.0ms (23.3% of total)

const: 2.0ms (3.9% of total)

backward-pass: 1.0ms (1.9% of total)

sample5.2s (29.5%)

Results

2.3s	5934×	2	valid
1.9s	7849×	5	exit
320.0ms	1991×	1	valid
30.0ms	331×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.9s

ival-log: 1.3s (43.8% of total)

backward-pass: 636.0ms (21.6% of total)

ival-sinh: 619.0ms (21% of total)

ival-div: 384.0ms (13% of total)

const: 18.0ms (0.6% of total)

Bogosity

preprocess269.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

2948×	`sum3-define`
1890×	`fnmadd-define`
1622×	`fmsub-define`
1576×	`fma-define`
1560×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	26	18
2	64	18
3	177	16
4	532	16
5	1670	16
6	3814	16
7	6287	16
0	4	5
1	10	5
2	23	5
3	50	5
4	94	5
5	192	5
6	430	5
7	889	5
8	2240	5
9	4650	5
10	5755	5
11	6231	5
12	6435	5
13	6989	5
14	7369	5
15	7723	5
16	7755	5
17	7779	5
0	7779	5

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

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

Symmetry

(abs x)

explain236.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
131	-	-	`(log.f64 (/.f64 (sinh.f64 x) x))`
0	-	-	`x`
0	-	-	`(/.f64 (sinh.f64 x) x)`
0	-	-	`(sinh.f64 x)`

Results

185.0ms	404×	2	valid
20.0ms	86×	1	valid
2.0ms	22×	0	valid

Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-log: 91.0ms (65.5% of total)

ival-sinh: 18.0ms (12.9% of total)

backward-pass: 16.0ms (11.5% of total)

ival-div: 12.0ms (8.6% of total)

const: 1.0ms (0.7% of total)

eval0.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.2%	(log.f64 (/.f64 (sinh.f64 x) x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify194.0ms (1.1%)

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

1890×	`fnmadd-define`
1622×	`fmsub-define`
1576×	`fma-define`
1560×	`fnmsub-define`
1344×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	12
1	10	12
2	23	12
3	50	12
4	94	12
5	192	12
6	430	12
7	889	12
8	2240	12
9	4650	12
10	5755	12
11	6231	12
12	6435	12
13	6989	12
14	7369	12
15	7723	12
16	7755	12
17	7779	12
0	7779	12

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize111.0ms (0.6%)

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	53.3%	(log.f64 (/.f64 (sinh.f64 x) x))

Results

90.0ms	202×	2	valid
8.0ms	43×	1	valid
2.0ms	11×	0	valid

Compiler

Compiled 14 to 5 computations (64.3% saved)

Precisions

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

ival-log: 35.0ms (57.2% of total)

ival-sinh: 12.0ms (19.6% of total)

ival-div: 7.0ms (11.4% of total)

backward-pass: 7.0ms (11.4% of total)

const: 0.0ms (0% of total)

series76.0ms (0.4%)

Counts

3 → 36

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
47.0ms	x	@	inf	(log (/ (sinh x) x))
26.0ms	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)

rewrite273.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3826×	`-lowering-.f32`
3826×	`-lowering-.f64`
3712×	`/-lowering-/.f32`
3712×	`/-lowering-/.f64`
1780×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	11
1	20	11
2	123	11
3	956	11
0	8631	11

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 378

Calls

Call 1

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

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

simplify209.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

2088×	`-lowering-.f32`
2088×	`-lowering-.f64`
1980×	`sum4-define`
1912×	`fma-lowering-fma.f32`
1912×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	392
1	163	350
2	471	347
3	1530	347
4	3322	347
5	5867	347
6	7331	347
0	8086	347

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

eval85.0ms (0.5%)

Compiler: Compiled 8530 to 1483 computations (82.6% saved)

prune55.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	405	9	414
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	405	10	415

Accuracy

97.5%

Counts

415 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))))
▶	97.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
	96.6%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
▶	96.5%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
▶	53.2%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
✓	53.2%	(log.f64 (/.f64 (sinh.f64 x) x))
	53.0%	(log.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)))
	53.3%	(log.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))
▶	53.2%	(log.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
	44.7%	(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sinh.f64 x)))

Compiler

Compiled 246 to 160 computations (35% saved)

simplify257.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
✓	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	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
✓	cost-diff	128	(log.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))
✓	cost-diff	0	(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))

Rules

3716×	`fma-define`
3384×	`fma-lowering-fma.f32`
3384×	`fma-lowering-fma.f64`
3248×	`sum4-define`
1526×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	229
1	112	203
2	382	203
3	982	203
4	2026	203
5	3470	203
6	3798	203
7	4253	203
8	4743	203
9	5164	203
10	5737	203
11	7373	203
12	7829	203
0	9228	203

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(* x (* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
x
(* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))
(+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))
1/6
#s(literal 1/6 binary64)
(* (* x x) (+ -1/180 (* (* x x) 1/2835)))
(.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))
(* x x)
(*.f64 x x)
(+ -1/180 (* (* x x) 1/2835))
(+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))
-1/180
#s(literal -1/180 binary64)
(* (* x x) 1/2835)
(.f64 (.f64 x x) #s(literal 1/2835 binary64))
1/2835
#s(literal 1/2835 binary64)
(* 1/6 (* x x))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
1/6
#s(literal 1/6 binary64)
(* x x)
(*.f64 x x)
x
(* (* x x) (+ 1/6 (* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))
(* x x)
(*.f64 x x)
x
(+ 1/6 (* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))))
1/6
#s(literal 1/6 binary64)
(* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))
(.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))
(+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))
(+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))
-1/180
#s(literal -1/180 binary64)
(* x (* x (+ 1/2835 (* (* x x) -1/37800))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))
(* x (+ 1/2835 (* (* x x) -1/37800)))
(.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(+ 1/2835 (* (* x x) -1/37800))
(+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))
1/2835
#s(literal 1/2835 binary64)
(* (* x x) -1/37800)
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
-1/37800
#s(literal -1/37800 binary64)
(log (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120)))))
(log1p.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))
(+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/6 (* (* x x) 1/120)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))
(* x x)
(*.f64 x x)
x
(+ 1/6 (* (* x x) 1/120))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))
1/6
#s(literal 1/6 binary64)
(* (* x x) 1/120)
(.f64 x (.f64 x #s(literal 1/120 binary64)))
1/120
#s(literal 1/120 binary64)
(neg (log (/ x (sinh x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (sinh.f64 x))))
(log (/ x (sinh x)))
(log.f64 (/.f64 x (sinh.f64 x)))
(/ x (sinh x))
(/.f64 x (sinh.f64 x))
x
(sinh x)
(sinh.f64 x)

localize645.0ms (3.7%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
✓	accuracy	100.0%	(sinh.f64 x)
✓	accuracy	100.0%	(/.f64 x (sinh.f64 x))
✓	accuracy	53.3%	(log.f64 (/.f64 x (sinh.f64 x)))
✓	accuracy	100.0%	(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/120 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))
✓	accuracy	55.9%	(log.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -1/37800 binary64))
✓	accuracy	99.7%	(.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))))
✓	accuracy	99.4%	(.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))
✓	accuracy	99.6%	(.f64 (.f64 x x) #s(literal 1/2835 binary64))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))

Results

523.0ms	202×	2	valid
50.0ms	43×	1	valid
6.0ms	11×	0	valid

Compiler

Compiled 274 to 33 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 363.0ms

ival-log: 105.0ms (28.9% of total)

...c/correct-round.rkt:119:19: 74.0ms (20.4% of total)

ival-mult: 69.0ms (19% of total)

backward-pass: 44.0ms (12.1% of total)

ival-sinh: 35.0ms (9.6% of total)

ival-add: 26.0ms (7.2% of total)

ival-div: 7.0ms (1.9% of total)

ival-neg: 4.0ms (1.1% of total)

const: 1.0ms (0.3% of total)

series78.0ms (0.4%)

Counts

22 → 264

Calls

Call 1

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

Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))>
#<alt (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))>
#<alt (* 1/2835 (pow x 4))>
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 4))>
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* -1/180 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* (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 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/2835 (* 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 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -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 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))>
#<alt (* (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))) (+ 1/37800 (/ 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))) (+ 1/37800 (/ 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 (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 (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 (* 1/6 (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 (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<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 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))>
#<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))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<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))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (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)))))>

Calls

66 calls:

Time	Variable		Point	Expression
43.0ms	x	@	-inf	(log (/ x (sinh x)))
19.0ms	x	@	inf	(log (/ x (sinh x)))
3.0ms	x	@	inf	(+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120))))
1.0ms	x	@	0	(log (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120)))))
1.0ms	x	@	0	(log (/ x (sinh x)))

rewrite370.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

4352×	`-lowering-.f32`
4352×	`-lowering-.f64`
2860×	`/-lowering-/.f32`
2860×	`/-lowering-/.f64`
2334×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	184
1	209	161
2	1892	161
0	8299	161

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 497

Calls

Call 1

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

Outputs
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) x))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) x))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x)))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) x))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) x))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x x) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 x (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) x))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x x)))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))) x)
(+.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
(+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (.f64 x #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(fma.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 #s(literal 1/6 binary64) x (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(fma.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x (.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) x (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x x) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (*.f64 x #s(literal 1/6 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))) (+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))
(/.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))) x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))) (neg.f64 (+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))) (neg.f64 (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))
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(/.f64 (neg.f64 (.f64 x (-.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 #s(literal 1/37800 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/22785532875 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64)))) x)) (neg.f64 (+.f64 #s(literal 1/8037225 binary64) (.f64 (.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 (neg.f64 (.f64 (-.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64))) x)) (neg.f64 (+.f64 #s(literal 1/2835 binary64) (.f64 #s(literal 1/37800 binary64) (*.f64 x x)))))
(.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(.f64 (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))) x)
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(+.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/37800 binary64)) (.f64 x x)) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))
(fma.f64 x (.f64 x #s(literal 1/2835 binary64)) (.f64 x (.f64 #s(literal -1/37800 binary64) (.f64 x (*.f64 x x)))))
(fma.f64 x (.f64 x #s(literal 1/2835 binary64)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(fma.f64 x (.f64 x #s(literal 1/2835 binary64)) (.f64 (.f64 #s(literal -1/37800 binary64) (.f64 x (*.f64 x x))) x))
(fma.f64 x (.f64 x #s(literal 1/2835 binary64)) (.f64 (.f64 (.f64 x x) #s(literal -1/37800 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1/2835 binary64) (.f64 x (.f64 #s(literal -1/37800 binary64) (.f64 x (*.f64 x x)))))
(fma.f64 (.f64 x x) #s(literal 1/2835 binary64) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(fma.f64 (.f64 x x) #s(literal 1/2835 binary64) (.f64 (.f64 #s(literal -1/37800 binary64) (.f64 x (*.f64 x x))) x))
(fma.f64 (.f64 x x) #s(literal 1/2835 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/37800 binary64)) (*.f64 x x)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/37800 binary64)) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))
(fma.f64 #s(literal 1/2835 binary64) (.f64 x x) (.f64 x (.f64 #s(literal -1/37800 binary64) (.f64 x (*.f64 x x)))))
(fma.f64 #s(literal 1/2835 binary64) (.f64 x x) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(fma.f64 #s(literal 1/2835 binary64) (.f64 x x) (.f64 (.f64 #s(literal -1/37800 binary64) (.f64 x (*.f64 x x))) x))
(fma.f64 #s(literal 1/2835 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) #s(literal -1/37800 binary64)) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x x) #s(literal -1/37800 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))
(fma.f64 (.f64 x #s(literal 1/2835 binary64)) x (.f64 x (.f64 #s(literal -1/37800 binary64) (.f64 x (*.f64 x x)))))
(fma.f64 (.f64 x #s(literal 1/2835 binary64)) x (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(fma.f64 (.f64 x #s(literal 1/2835 binary64)) x (.f64 (.f64 #s(literal -1/37800 binary64) (.f64 x (*.f64 x x))) x))
(fma.f64 (.f64 x #s(literal 1/2835 binary64)) x (.f64 (.f64 (.f64 x x) #s(literal -1/37800 binary64)) (*.f64 x x)))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/22785532875 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64))))) (+.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 (.f64 x x) #s(literal -1/37800 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal -1/37800 binary64)) #s(literal 1/2835 binary64)))))
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(.f64 #s(literal -1/37800 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -1/37800 binary64)) x)
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(.f64 #s(literal 1/120 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/120 binary64)) x)
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(-.f64 (/.f64 #s(literal 1/36 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (.f64 x x)))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (.f64 x x)))))
(fma.f64 x (*.f64 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))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x #s(literal 1/120 binary64)) x #s(literal 1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (.f64 x x))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)))))
(/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/720 binary64) (.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (.f64 x x))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64))))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64))) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (.f64 x x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
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(/.f64 (.f64 (+.f64 #s(literal 1/10077696 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1/46656 binary64) (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (.f64 #s(literal 1/373248000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
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(pow.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 1/1728000 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (.f64 x x))) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728000 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))))))
(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/14400 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 #s(literal -1/120 binary64) (*.f64 x x)))))

simplify347.0ms (2%)

Algorithm

1×	egg-herbie

Rules

3816×	`-lowering-.f32`
3816×	`-lowering-.f64`
2018×	`+-lowering-+.f64`
2018×	`+-lowering-+.f32`
1954×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	204	2573
1	588	2205
2	1717	2166
3	5639	2163
0	8072	2163

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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)))))
(* -1/180 (pow x 2))
(* (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))
(* 1/2835 (pow x 4))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/2835 (* 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 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -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 (pow x 2))
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))
(* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))
(* (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))) (+ 1/37800 (/ 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))) (+ 1/37800 (/ 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 (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 (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))))
(* 1/6 (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)))))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 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 (pow x 2))
(* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))
(* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))
(* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))
(* -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))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* -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))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (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)))))

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 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 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 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
(* 1/2835 (pow x 6))
(*.f64 #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 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/180 binary64))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 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 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))) (.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 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))) (.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 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))) (.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 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))
(* 1/2835 (pow x 4))
(.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 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 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))
(* 1/2835 (pow x 4))
(.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 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 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))) (.f64 x (.f64 x (.f64 x x))))
(* -1/180 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/180 binary64))
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))
(.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))
(.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))
(.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))
(* 1/2835 (pow x 4))
(.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 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 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- 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 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- 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 x (.f64 x (*.f64 x x))))
(* 1/2835 (pow x 4))
(.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 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 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- 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 x (.f64 x (*.f64 x x))))
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(+ 1 (* (pow x 2) (- (* 7/360 (pow x 2)) 1/6)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 7/360 binary64)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 7/360 (* -31/15120 (pow x 2)))) 1/6)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 7/360 binary64) (.f64 (.f64 x x) #s(literal -31/15120 binary64))))))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(* 2 (/ x (- (exp x) (/ 1 (exp x)))))
(/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 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 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 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) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))))
(* -1 (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))))
(* -1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(* -1/37800 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/37800 binary64)))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))) (.f64 x (.f64 x x)))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))) (.f64 x (.f64 x x)))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1/37800 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal -1/37800 binary64)))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/37800 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1/2835 binary64)) #s(literal 1 binary64))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/37800 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1/2835 binary64)) #s(literal 1 binary64))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(-.f64 (.f64 x (.f64 (.f64 x x) #s(literal -1/37800 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1/2835 binary64)) #s(literal 1 binary64))))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))
(* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))
(* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))
(* -1/37800 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/37800 binary64))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* -1/37800 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -1/37800 binary64))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
(+ 1/6 (* 1/120 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
(+ 1/6 (* 1/120 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 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)))))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 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)))))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))

eval239.0ms (1.4%)

Compiler: Compiled 25005 to 2345 computations (90.6% saved)

prune124.0ms (0.7%)

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	874	13	887
Fresh	0	4	4
Picked	1	4	5
Done	0	1	1
Total	875	22	897

Accuracy

97.6%

Counts

897 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.0%	(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
	96.9%	(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64)))))
	8.6%	(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
▶	11.9%	(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
	96.8%	(.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))))
✓	96.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))))
	96.6%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))))
▶	96.5%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	97.0%	(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))) x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))))
▶	97.0%	(.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64))))))
▶	14.5%	(.f64 x (.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))
	96.7%	(.f64 x (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64))))))))
✓	97.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
	96.6%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
✓	96.5%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	53.2%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
	96.9%	(log1p.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
✓	53.2%	(log.f64 (/.f64 (sinh.f64 x) x))
▶	53.0%	(log.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)))
	53.3%	(log.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))
	44.7%	(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sinh.f64 x)))
	1.8%	(log.f64 (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))))

Compiler

Compiled 1209 to 488 computations (59.6% saved)

simplify215.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))
✓	cost-diff	0	(+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x))))
✓	cost-diff	768	(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
✓	cost-diff	5824	(pow.f64 x #s(literal 6 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	cost-diff	0	(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
✓	cost-diff	128	(log.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))
✓	cost-diff	0	(+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x))))
✓	cost-diff	0	(.f64 x (.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))
✓	cost-diff	768	(.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
✓	cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
✓	cost-diff	0	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	cost-diff	0	(+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))))) x)
✓	cost-diff	0	(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64)))))
✓	cost-diff	0	(.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64))))))

Rules

2856×	`-lowering-.f32`
2856×	`-lowering-.f64`
1788×	`+-lowering-+.f64`
1788×	`+-lowering-+.f32`
1264×	`fma-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	39	548
1	117	382
2	367	370
3	1783	366
4	3961	366
5	5425	359
6	7048	359
7	7910	359
0	8034	359

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize845.0ms (4.8%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	99.8%	(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
✓	accuracy	60.5%	(+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))
✓	accuracy	16.0%	(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	accuracy	55.9%	(log.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))
✓	accuracy	99.8%	(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
✓	accuracy	60.5%	(+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))
✓	accuracy	18.9%	(.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
✓	accuracy	99.8%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	99.6%	(.f64 (.f64 x x) #s(literal 1/2835 binary64))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))
✓	accuracy	99.4%	(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64)))))
✓	accuracy	99.3%	(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))))) x)

Results

640.0ms	202×	2	valid
72.0ms	43×	1	valid
7.0ms	11×	0	valid

Compiler

Compiled 655 to 40 computations (93.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 366.0ms

ival-mult: 110.0ms (30.1% of total)

...c/correct-round.rkt:119:19: 100.0ms (27.3% of total)

backward-pass: 49.0ms (13.4% of total)

ival-add: 43.0ms (11.8% of total)

ival-log: 39.0ms (10.7% of total)

ival-div: 14.0ms (3.8% of total)

ival-pow: 7.0ms (1.9% of total)

ival-sub: 4.0ms (1.1% of total)

const: 1.0ms (0.3% of total)

series15.0ms (0.1%)

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (* x (/ (* (+ 1/216 (* (* x (* x (+ -1/180 (* (* x x) 1/2835)))) (* x (* (* x (+ -1/180 (* (* x x) 1/2835))) (* x (* x (+ -1/180 (* (* x x) 1/2835)))))))) x) (+ 1/36 (* (* x (* x (+ -1/180 (* (* x x) 1/2835)))) (- (* x (* x (+ -1/180 (* (* x x) 1/2835)))) 1/6)))))>
#<alt (/ (* (+ 1/216 (* (* x (* x (+ -1/180 (* (* x x) 1/2835)))) (* x (* (* x (+ -1/180 (* (* x x) 1/2835))) (* x (* x (+ -1/180 (* (* x x) 1/2835)))))))) x) (+ 1/36 (* (* x (* x (+ -1/180 (* (* x x) 1/2835)))) (- (* x (* x (+ -1/180 (* (* x x) 1/2835)))) 1/6))))>
#<alt (* (+ 1/216 (* (* x (* x (+ -1/180 (* (* x x) 1/2835)))) (* x (* (* x (+ -1/180 (* (* x x) 1/2835))) (* x (* x (+ -1/180 (* (* x x) 1/2835)))))))) x)>
#<alt (+ 1/216 (* (* x (* x (+ -1/180 (* (* x x) 1/2835)))) (* x (* (* x (+ -1/180 (* (* x x) 1/2835))) (* x (* x (+ -1/180 (* (* x x) 1/2835))))))))>
#<alt (* (* x 1/6) x)>
#<alt (* x 1/6)>
#<alt (* (+ 1/2835 (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x)))) (* (* x (* x (* x x))) x))>
#<alt (* x (* (+ 1/2835 (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x)))) (* (* x (* x (* x x))) x)))>
#<alt (+ 1/2835 (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x))))>
#<alt (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x)))>
#<alt (log (+ (* 1/6 (* x x)) 1))>
#<alt (+ (* 1/6 (* x x)) 1)>
#<alt (* 1/6 (* x x))>
#<alt (* x x)>
#<alt (pow x 6)>
#<alt (* (pow x 6) (+ 1/2835 (+ (/ 1/6 (* x (* x (* x x)))) (/ -1/180 (* x x)))))>
#<alt (* x (+ -1/180 (* (* x x) 1/2835)))>
#<alt (* (* x x) 1/2835)>
#<alt (/ -1/180 (* x x))>
#<alt (/ 1/6 (* x (* x (* x 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) (- (* 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 1/216>
#<alt (+ 1/216 (* -1/5832000 (pow x 6)))>
#<alt (+ 1/216 (* (pow x 6) (- (* 1/30618000 (pow x 2)) 1/5832000)))>
#<alt (+ 1/216 (* (pow x 6) (- (* (pow x 2) (+ 1/30618000 (* -1/482233500 (pow x 2)))) 1/5832000)))>
#<alt (* 1/22785532875 (pow x 12))>
#<alt (* (pow x 12) (- 1/22785532875 (* 1/482233500 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (* 1/482233500 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6))))))>
#<alt (* 1/22785532875 (pow x 12))>
#<alt (* (pow x 12) (- 1/22785532875 (* 1/482233500 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (* 1/482233500 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 4))>
#<alt (/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 4))>
#<alt 1/2835>
#<alt (- 1/2835 (* 1/180 (/ 1 (pow x 2))))>
#<alt (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))>
#<alt (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))>
#<alt 1/2835>
#<alt (- 1/2835 (* 1/180 (/ 1 (pow x 2))))>
#<alt (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))>
#<alt (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 4))>
#<alt (/ -1/180 (pow x 2))>
#<alt (/ (- (* 1/6 (/ 1 (pow x 2))) 1/180) (pow x 2))>
#<alt (/ (- (* 1/6 (/ 1 (pow x 2))) 1/180) (pow x 2))>
#<alt (/ (- (* 1/6 (/ 1 (pow x 2))) 1/180) (pow x 2))>
#<alt (/ -1/180 (pow x 2))>
#<alt (/ (- (* 1/6 (/ 1 (pow x 2))) 1/180) (pow x 2))>
#<alt (/ (- (* 1/6 (/ 1 (pow x 2))) 1/180) (pow x 2))>
#<alt (/ (- (* 1/6 (/ 1 (pow x 2))) 1/180) (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/72 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/648 (pow x 2)) 1/72))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/648 (* -1/5184 (pow x 2)))) 1/72))))>
#<alt (+ (log 1/6) (* -2 (log (/ 1 x))))>
#<alt (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))>
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))>
#<alt (+ (log 1/6) (* -2 (log (/ -1 x))))>
#<alt (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))>
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<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 (* -1/180 x)>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* 1/2835 (pow x 3))>
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (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 (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>
#<alt (/ 1/6 (pow x 4))>

Calls

60 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(log (+ (* 1/6 (* x x)) 1))
1.0ms	x	@	inf	(* x (/ (* (+ 1/216 (* (* x (* x (+ -1/180 (* (* x x) 1/2835)))) (* x (* (* x (+ -1/180 (* (* x x) 1/2835))) (* x (* x (+ -1/180 (* (* x x) 1/2835)))))))) x) (+ 1/36 (* (* x (* x (+ -1/180 (* (* x x) 1/2835)))) (- (* x (* x (+ -1/180 (* (* x x) 1/2835)))) 1/6)))))
1.0ms	x	@	0	(* x (/ (* (+ 1/216 (* (* x (* x (+ -1/180 (* (* x x) 1/2835)))) (* x (* (* x (+ -1/180 (* (* x x) 1/2835))) (* x (* x (+ -1/180 (* (* x x) 1/2835)))))))) x) (+ 1/36 (* (* x (* x (+ -1/180 (* (* x x) 1/2835)))) (- (* x (* x (+ -1/180 (* (* x x) 1/2835)))) 1/6)))))
0.0ms	x	@	inf	(log (+ (* 1/6 (* x x)) 1))
0.0ms	x	@	-inf	(* x (/ (* (+ 1/216 (* (* x (* x (+ -1/180 (* (* x x) 1/2835)))) (* x (* (* x (+ -1/180 (* (* x x) 1/2835))) (* x (* x (+ -1/180 (* (* x x) 1/2835)))))))) x) (+ 1/36 (* (* x (* x (+ -1/180 (* (* x x) 1/2835)))) (- (* x (* x (+ -1/180 (* (* x x) 1/2835)))) 1/6)))))

rewrite367.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2896×	`/-lowering-/.f32`
2896×	`/-lowering-/.f64`
2714×	`-lowering-.f32`
2714×	`-lowering-.f64`
2446×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	326
1	240	209
2	2284	206
0	8432	206

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 536

Calls

Call 1

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

Outputs
(/.f64 x (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))) (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))))))
(/.f64 (.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))) (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))))))
(/.f64 (.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))) (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))) (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))))))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))))))) (+.f64 (neg.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))) #s(literal -1/36 binary64)))
(/.f64 (.f64 x (.f64 x (neg.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))))))))) (+.f64 (neg.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))) #s(literal -1/36 binary64)))
(/.f64 (.f64 (.f64 x (neg.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))))))) x) (+.f64 (neg.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))) #s(literal -1/36 binary64)))
(/.f64 (neg.f64 (.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))) (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))) (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))))))))) (neg.f64 (+.f64 (neg.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))) #s(literal -1/36 binary64))))
(/.f64 (neg.f64 (.f64 x (.f64 x (neg.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))))))))) (neg.f64 (+.f64 (neg.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))) #s(literal -1/36 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x (neg.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))))))) x)) (neg.f64 (+.f64 (neg.f64 (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))) #s(literal -1/36 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))))) #s(literal -1 binary64))
(.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64)))))))
(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))))) (.f64 (/.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64)))))) x))
(.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))))))) (/.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64)))))))
(.f64 (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64)))))) x))
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(/.f64 #s(literal -1/6 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 (/.f64 #s(literal 1/6 binary64) x) (.f64 x (.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (/.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (/.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))))
(/.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x)) (neg.f64 (.f64 x (.f64 x x))))
(/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 x x))
(/.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x))) x)
(/.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x) (*.f64 x x))
(/.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) (*.f64 x x)) x)
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x))) (neg.f64 (neg.f64 (.f64 x (.f64 x x)))))
(/.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x x)))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) x)) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) (*.f64 x x))) (neg.f64 x))
(pow.f64 (.f64 x (/.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (/.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))
(.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) x) (.f64 x (*.f64 x x))))
(.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/6 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (/.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) x))

simplify302.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

3926×	`+-lowering-+.f64`
3926×	`+-lowering-+.f32`
2938×	`-lowering-.f32`
2938×	`-lowering-.f64`
2008×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	2035
1	453	1744
2	1308	1736
3	3952	1736
0	8446	1736

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) (- (* 1/2835 (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))))))
1/216
(+ 1/216 (* -1/5832000 (pow x 6)))
(+ 1/216 (* (pow x 6) (- (* 1/30618000 (pow x 2)) 1/5832000)))
(+ 1/216 (* (pow x 6) (- (* (pow x 2) (+ 1/30618000 (* -1/482233500 (pow x 2)))) 1/5832000)))
(* 1/22785532875 (pow x 12))
(* (pow x 12) (- 1/22785532875 (* 1/482233500 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (* 1/482233500 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6))))))
(* 1/22785532875 (pow x 12))
(* (pow x 12) (- 1/22785532875 (* 1/482233500 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (* 1/482233500 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 1/22785532875 (/ 1/30618000 (pow x 4))) (+ (* 1/482233500 (/ 1 (pow x 2))) (* 1/5832000 (/ 1 (pow x 6))))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(/ 1/6 (pow x 4))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 4))
(/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 4))
(/ (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))) (pow x 4))
1/2835
(- 1/2835 (* 1/180 (/ 1 (pow x 2))))
(- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))
(- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))
1/2835
(- 1/2835 (* 1/180 (/ 1 (pow x 2))))
(- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))
(- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2))))
(/ 1/6 (pow x 4))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 4))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 4))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 4))
(/ -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))
(/ (- (* 1/6 (/ 1 (pow x 2))) 1/180) (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))
(/ (- (* 1/6 (/ 1 (pow x 2))) 1/180) (pow x 2))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/72 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/648 (pow x 2)) 1/72))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/648 (* -1/5184 (pow x 2)))) 1/72))))
(+ (log 1/6) (* -2 (log (/ 1 x))))
(+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2)))))
(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))
(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))
(+ (log 1/6) (* -2 (log (/ -1 x))))
(+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2)))))
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* 1/6 (pow x 2)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(* 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)))))
(* -1/180 x)
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* 1/2835 (pow x 3))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (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))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))
(/ 1/6 (pow x 4))

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 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/180 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 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 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x 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 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x 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 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x 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 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal -1/180 binary64)))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(* 1/2835 (pow x 5))
(*.f64 #s(literal 1/2835 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/2835 (pow x 5))
(*.f64 #s(literal 1/2835 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/216 x)
(*.f64 x #s(literal 1/216 binary64))
(* x (+ 1/216 (* -1/5832000 (pow x 6))))
(.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64))))
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(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(+ 1 (* 1/6 (pow x 2)))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 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))
(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)
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/180 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 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 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x 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 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x 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 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x 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 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))))
(* -1/180 x)
(*.f64 x #s(literal -1/180 binary64))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))
(* 1/2835 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1/180 binary64)) #s(literal 1 binary64))))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1/180 binary64)) #s(literal 1 binary64))))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1/180 binary64)) #s(literal 1 binary64))))
(* 1/2835 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1/180 binary64)) #s(literal 1 binary64))))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1/180 binary64)) #s(literal 1 binary64))))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1/180 binary64)) #s(literal 1 binary64))))
(* 1/2835 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2835 binary64))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(/ -1/180 (pow x 2))
(/.f64 #s(literal -1/180 binary64) (*.f64 x x))
(/ 1/6 (pow x 4))
(/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/6 (pow x 4))
(/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/6 (pow x 4))
(/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/6 (pow x 4))
(/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/6 (pow x 4))
(/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/6 (pow x 4))
(/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/6 (pow x 4))
(/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/6 (pow x 4))
(/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/6 (pow x 4))
(/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/6 (pow x 4))
(/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/6 (pow x 4))
(/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/6 (pow x 4))
(/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))

eval188.0ms (1.1%)

Compiler: Compiled 70487 to 3464 computations (95.1% saved)

prune192.0ms (1.1%)

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	1396	7	1403
Fresh	4	8	12
Picked	4	1	5
Done	0	5	5
Total	1404	21	1425

Accuracy

97.6%

Counts

1425 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.0%	(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
▶	97.0%	(/.f64 x (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))) (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))))))))
	97.0%	(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))))) (.f64 (/.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64)))))) x))
	18.5%	(.f64 (.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) (.f64 x (.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal -1/180 binary64) x) x) #s(literal 1/2835 binary64))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))
	96.8%	(.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))))
✓	96.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))))
	96.6%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))))
✓	96.5%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
▶	97.0%	(.f64 x (/.f64 (.f64 x #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64))))))
	14.0%	(.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)))
▶	14.5%	(.f64 x (.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))
✓	97.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
▶	96.6%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
✓	96.5%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	53.2%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
	96.9%	(log1p.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
▶	96.5%	(log1p.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))))
✓	53.2%	(log.f64 (/.f64 (sinh.f64 x) x))
	53.3%	(log.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))
	44.7%	(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sinh.f64 x)))
	1.8%	(log.f64 (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))))

Compiler

Compiled 883 to 420 computations (52.4% saved)

simplify173.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/6 binary64)))
✓	cost-diff	0	(log1p.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal 1/216 binary64))
✓	cost-diff	0	(/.f64 (.f64 x #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64)))))
✓	cost-diff	0	(.f64 x (/.f64 (.f64 x #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64))))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x x)))
✓	cost-diff	0	(.f64 x (.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))
✓	cost-diff	256	(.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x x))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -1/180 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/180 binary64))))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64)))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))) (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))))))))
✓	cost-diff	0	(/.f64 x (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))) (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))))))))

Rules

3280×	`-lowering-.f32`
3280×	`-lowering-.f64`
2656×	`sum5-define`
1852×	`+-lowering-+.f64`
1852×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	639
1	176	560
2	577	471
3	2828	449
4	6044	449
5	7237	449
0	8084	449

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize1.1s (6.4%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log1p.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))))
✓	accuracy	99.9%	(.f64 x (.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.9%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	99.9%	(*.f64 x #s(literal 1/216 binary64))
✓	accuracy	99.9%	(.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64)))
✓	accuracy	99.9%	(/.f64 (.f64 x #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/2835 binary64))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x x))
✓	accuracy	99.9%	(.f64 (.f64 x (.f64 x (.f64 x x))) x)
✓	accuracy	99.9%	(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
✓	accuracy	96.2%	(.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x x))) (.f64 (.f64 x (.f64 x (*.f64 x x))) x))
✓	accuracy	100.0%	(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 x x) #s(literal -1/180 binary64))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/180 binary64))))
✓	accuracy	99.9%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
✓	accuracy	99.9%	(.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64))))))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))) (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))))))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64)))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))))

Results

877.0ms	202×	5	exit
71.0ms	43×	1	valid
8.0ms	11×	0	valid

Compiler

Compiled 771 to 51 computations (93.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 407.0ms

backward-pass: 186.0ms (45.7% of total)

ival-mult: 91.0ms (22.3% of total)

...c/correct-round.rkt:119:19: 44.0ms (10.8% of total)

compiled-spec: 25.0ms (6.1% of total)

ival-add: 24.0ms (5.9% of total)

ival-div: 17.0ms (4.2% of total)

ival-log: 17.0ms (4.2% of total)

ival-sub: 2.0ms (0.5% of total)

const: 1.0ms (0.2% of total)

series31.0ms (0.2%)

Counts

26 → 312

Calls

Call 1

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

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 (/ 6 x)>
#<alt (/ (+ 6 (* 1/5 (pow x 2))) x)>
#<alt (/ (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) x)>
#<alt (/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) x)>
#<alt (/ 2835 (pow x 5))>
#<alt (/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 5))>
#<alt (/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 5))>
#<alt (/ 2835 (pow x 5))>
#<alt (/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 5))>
#<alt (* -1 (/ (- (/ 10180485/16 (pow x 4)) (+ 2835 (* 178605/4 (/ 1 (pow x 2))))) (pow x 5)))>
#<alt (* -1 (/ (- (+ (* 1991624355/64 (/ 1 (pow x 6))) (/ 10180485/16 (pow x 4))) (+ 2835 (* 178605/4 (/ 1 (pow x 2))))) (pow x 5)))>
#<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 (* 1/1080 (pow x 2))>
#<alt (* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400))))>
#<alt (* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)) 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 (* -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 (* -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 (* 1/6 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 (/ 1/6 (pow x 4))>
#<alt (/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 4))>
#<alt (/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 4))>
#<alt (/ -1/180 (pow x 2))>
#<alt (/ (- (* 1/6 (/ 1 (pow x 2))) 1/180) (pow x 2))>
#<alt (/ (- (* 1/6 (/ 1 (pow x 2))) 1/180) (pow x 2))>
#<alt (/ (- (* 1/6 (/ 1 (pow x 2))) 1/180) (pow x 2))>
#<alt (/ -1/180 (pow x 2))>
#<alt (/ (- (* 1/6 (/ 1 (pow x 2))) 1/180) (pow x 2))>
#<alt (/ (- (* 1/6 (/ 1 (pow x 2))) 1/180) (pow x 2))>
#<alt (/ (- (* 1/6 (/ 1 (pow x 2))) 1/180) (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* 1/162000 (pow x 2)))) 1/180))))>
#<alt (/ 297675/8 (pow x 6))>
#<alt (/ (+ 297675/8 (* 18753525/16 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (+ 297675/8 (+ (* 18753525/16 (/ 1 (pow x 2))) (/ 5794839225/128 (pow x 4)))) (pow x 6))>
#<alt (/ (+ 297675/8 (+ (* 18753525/16 (/ 1 (pow x 2))) (+ (* 180765227475/128 (/ 1 (pow x 6))) (/ 5794839225/128 (pow x 4))))) (pow x 6))>
#<alt (/ 297675/8 (pow x 6))>
#<alt (/ (+ 297675/8 (* 18753525/16 (/ 1 (pow x 2)))) (pow x 6))>
#<alt (/ (+ 297675/8 (+ (* 18753525/16 (/ 1 (pow x 2))) (/ 5794839225/128 (pow x 4)))) (pow x 6))>
#<alt (/ (+ 297675/8 (+ (* 18753525/16 (/ 1 (pow x 2))) (+ (* 180765227475/128 (/ 1 (pow x 6))) (/ 5794839225/128 (pow x 4))))) (pow x 6))>
#<alt (* 1/6 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) (- (* (pow x 2) (+ 1/2835 (* 1/162000 (pow x 2)))) 1/180))))>
#<alt (/ 297675/8 (pow x 7))>
#<alt (/ (+ 297675/8 (* 18753525/16 (/ 1 (pow x 2)))) (pow x 7))>
#<alt (/ (+ 297675/8 (+ (* 18753525/16 (/ 1 (pow x 2))) (/ 5794839225/128 (pow x 4)))) (pow x 7))>
#<alt (/ (+ 297675/8 (+ (* 18753525/16 (/ 1 (pow x 2))) (+ (* 180765227475/128 (/ 1 (pow x 6))) (/ 5794839225/128 (pow x 4))))) (pow x 7))>
#<alt (/ 297675/8 (pow x 7))>
#<alt (/ (+ 297675/8 (* 18753525/16 (/ 1 (pow x 2)))) (pow x 7))>
#<alt (* -1 (/ (- (* -1 (/ (+ 18753525/16 (* 5794839225/128 (/ 1 (pow x 2)))) (pow x 2))) 297675/8) (pow x 7)))>
#<alt (* -1 (/ (- (* -1 (/ (+ 5794839225/128 (* 180765227475/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 297675/8 (* 18753525/16 (/ 1 (pow x 2))))) (pow x 7)))>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt (* 1/216 x)>
#<alt 1/36>
#<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 (* -1/72 (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 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 (* 1/216 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 (* -1/180 x)>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* 1/2835 (pow x 3))>
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* 1/32400 (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 (/ 1/6 (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 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/1080 (pow x 2))>
#<alt (* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400))))>
#<alt (* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)) 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))))))>

Calls

78 calls:

Time	Variable		Point	Expression
19.0ms	x	@	-inf	(* (* x (* x (* x x))) x)
0.0ms	x	@	inf	(* x (* x (+ 1/6 (* (* x x) -1/180))))
0.0ms	x	@	-inf	(* x 1/216)
0.0ms	x	@	inf	(* x (/ (* x 1/216) (+ 1/36 (* (* x (* x (+ -1/180 (* (* x x) 1/2835)))) (- (* x (* x (+ -1/180 (* (* x x) 1/2835)))) 1/6)))))
0.0ms	x	@	inf	(/ (+ 1/36 (* (* x x) (* (+ -1/180 (* x (* x 1/2835))) (+ (* (* x x) (+ -1/180 (* x (* x 1/2835)))) -1/6)))) (* x (+ 1/216 (* (* x (* x x)) (* (* x (+ -1/180 (* x (* x 1/2835)))) (* (+ -1/180 (* x (* x 1/2835))) (* (* x x) (+ -1/180 (* x (* x 1/2835))))))))))

rewrite3.1s (17.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3956×	`-lowering-.f32`
3956×	`-lowering-.f64`
2760×	`fma-lowering-fma.f32`
2760×	`fma-lowering-fma.f64`
1962×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	426
1	356	357
2	2703	322
0	8618	322

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 554

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))))) (.f64 x #s(literal 1/216 binary64))) (.f64 (/.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))))) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))))))
(+.f64 (.f64 (.f64 x #s(literal 1/216 binary64)) (/.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64)))))))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))) (/.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64)))))))))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))))))) #s(literal -1 binary64)))
(fma.f64 (.f64 x #s(literal 1/216 binary64)) (/.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))) (/.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64)))))))))
(fma.f64 (/.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))))) (.f64 x #s(literal 1/216 binary64)) (.f64 (/.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))))) (.f64 x (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))))))
(neg.f64 (/.f64 x (/.f64 (+.f64 (neg.f64 (.f64 x (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64)))))) #s(literal -1/36 binary64)) (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64)))))) (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))))))))
(/.f64 x (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64)))))) (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64)))))) (.f64 x (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))))))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 (neg.f64 (.f64 x (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64)))))) #s(literal -1/36 binary64)) (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))))))
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(fma.f64 (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) #s(literal -1/6 binary64)) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) x (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) #s(literal -1/6 binary64))))
(fma.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) x (.f64 (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) #s(literal -1/6 binary64)) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) x) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) #s(literal -1/6 binary64))))
(fma.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) x) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) #s(literal -1/6 binary64)) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x x)) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) #s(literal -1/6 binary64))))
(fma.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x x)) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) #s(literal -1/6 binary64)) (*.f64 x x)))
(/.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))) #s(literal -1/216 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))) #s(literal -1/216 binary64))) (+.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) #s(literal 1/36 binary64)) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) #s(literal -1/36 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64)))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))) #s(literal -1/216 binary64)) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))) #s(literal -1/216 binary64)) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (+.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) #s(literal 1/36 binary64)) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) #s(literal -1/36 binary64)) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64)))
(.f64 x (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64)))))
(.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))
(.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))
(.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64)) (*.f64 x x)))
(.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64)))
(.f64 (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64)) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))
(.f64 (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))) (*.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))
(.f64 (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64)))) x)
(.f64 (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))) (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))
(.f64 (.f64 (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64)) x) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))
(.f64 (.f64 (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64)) (.f64 x x)) (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))

simplify287.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

3530×	`-lowering-.f32`
3530×	`-lowering-.f64`
2722×	`+-lowering-+.f64`
2722×	`+-lowering-+.f32`
1870×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	3061
1	857	2633
2	2466	2605
3	7155	2605
0	8281	2605

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

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)))))
(/ 6 x)
(/ (+ 6 (* 1/5 (pow x 2))) x)
(/ (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) x)
(/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) x)
(/ 2835 (pow x 5))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 5))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 5))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 5))
(/ 2835 (pow x 5))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 5))
(* -1 (/ (- (/ 10180485/16 (pow x 4)) (+ 2835 (* 178605/4 (/ 1 (pow x 2))))) (pow x 5)))
(* -1 (/ (- (+ (* 1991624355/64 (/ 1 (pow x 6))) (/ 10180485/16 (pow x 4))) (+ 2835 (* 178605/4 (/ 1 (pow x 2))))) (pow x 5)))
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))))))
(* 1/1080 (pow x 2))
(* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2))))
(* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400))))
(* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)) 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 (* -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))
(* -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))
(* 1/6 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))))
(/ 1/6 (pow x 4))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 4))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 4))
(/ (+ 1/6 (* -1/180 (pow x 2))) (pow x 4))
(/ -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))
(/ (- (* 1/6 (/ 1 (pow x 2))) 1/180) (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))
(/ (- (* 1/6 (/ 1 (pow x 2))) 1/180) (pow x 2))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* 1/162000 (pow x 2)))) 1/180))))
(/ 297675/8 (pow x 6))
(/ (+ 297675/8 (* 18753525/16 (/ 1 (pow x 2)))) (pow x 6))
(/ (+ 297675/8 (+ (* 18753525/16 (/ 1 (pow x 2))) (/ 5794839225/128 (pow x 4)))) (pow x 6))
(/ (+ 297675/8 (+ (* 18753525/16 (/ 1 (pow x 2))) (+ (* 180765227475/128 (/ 1 (pow x 6))) (/ 5794839225/128 (pow x 4))))) (pow x 6))
(/ 297675/8 (pow x 6))
(/ (+ 297675/8 (* 18753525/16 (/ 1 (pow x 2)))) (pow x 6))
(/ (+ 297675/8 (+ (* 18753525/16 (/ 1 (pow x 2))) (/ 5794839225/128 (pow x 4)))) (pow x 6))
(/ (+ 297675/8 (+ (* 18753525/16 (/ 1 (pow x 2))) (+ (* 180765227475/128 (/ 1 (pow x 6))) (/ 5794839225/128 (pow x 4))))) (pow x 6))
(* 1/6 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) (- (* (pow x 2) (+ 1/2835 (* 1/162000 (pow x 2)))) 1/180))))
(/ 297675/8 (pow x 7))
(/ (+ 297675/8 (* 18753525/16 (/ 1 (pow x 2)))) (pow x 7))
(/ (+ 297675/8 (+ (* 18753525/16 (/ 1 (pow x 2))) (/ 5794839225/128 (pow x 4)))) (pow x 7))
(/ (+ 297675/8 (+ (* 18753525/16 (/ 1 (pow x 2))) (+ (* 180765227475/128 (/ 1 (pow x 6))) (/ 5794839225/128 (pow x 4))))) (pow x 7))
(/ 297675/8 (pow x 7))
(/ (+ 297675/8 (* 18753525/16 (/ 1 (pow x 2)))) (pow x 7))
(* -1 (/ (- (* -1 (/ (+ 18753525/16 (* 5794839225/128 (/ 1 (pow x 2)))) (pow x 2))) 297675/8) (pow x 7)))
(* -1 (/ (- (* -1 (/ (+ 5794839225/128 (* 180765227475/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 297675/8 (* 18753525/16 (/ 1 (pow x 2))))) (pow x 7)))
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
(* 1/216 x)
1/36
(+ 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 (* -1/72 (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 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)
(* 1/216 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))))))
(* -1/180 x)
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* 1/2835 (pow x 3))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* 1/32400 (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)))))
(/ 1/6 (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 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/1080 (pow x 2))
(* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2))))
(* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400))))
(* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)) 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))))))

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 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/180 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 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 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x 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 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x 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 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x 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 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (*.f64 x x))))
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ (+ 6 (* 1/5 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))) x)
(/ (+ 6 (* (pow x 2) (+ 1/5 (* -19/3150 (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal -19/3150 binary64))))) x)
(/ (+ 6 (* (pow x 2) (+ 1/5 (* (pow x 2) (- (* -59/94500 (pow x 2)) 19/3150))))) x)
(/.f64 (+.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 x (.f64 x (+.f64 #s(literal -19/3150 binary64) (.f64 (.f64 x x) #s(literal -59/94500 binary64)))))))) x)
(/ 2835 (pow x 5))
(/.f64 #s(literal 2835 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 5))
(/.f64 (+.f64 #s(literal 2835 binary64) (/.f64 #s(literal 178605/4 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (/ 10180485/16 (pow x 4))) (pow x 5))
(/.f64 (+.f64 #s(literal 2835 binary64) (+.f64 (/.f64 #s(literal 178605/4 binary64) (.f64 x x)) (/.f64 #s(literal -10180485/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 2835 (+ (* -1 (/ (+ 10180485/16 (* 1991624355/64 (/ 1 (pow x 2)))) (pow x 4))) (* 178605/4 (/ 1 (pow x 2))))) (pow x 5))
(/.f64 (-.f64 (+.f64 #s(literal 2835 binary64) (/.f64 #s(literal 178605/4 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 10180485/16 binary64) (/.f64 #s(literal 1991624355/64 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64)))
(/ 2835 (pow x 5))
(/.f64 #s(literal 2835 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 5))
(/.f64 (+.f64 #s(literal 2835 binary64) (/.f64 #s(literal 178605/4 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (- (/ 10180485/16 (pow x 4)) (+ 2835 (* 178605/4 (/ 1 (pow x 2))))) (pow x 5)))
(/.f64 (+.f64 #s(literal 2835 binary64) (+.f64 (/.f64 #s(literal 178605/4 binary64) (.f64 x x)) (/.f64 #s(literal -10180485/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (- (+ (* 1991624355/64 (/ 1 (pow x 6))) (/ 10180485/16 (pow x 4))) (+ 2835 (* 178605/4 (/ 1 (pow x 2))))) (pow x 5)))
(/.f64 (+.f64 (+.f64 #s(literal 2835 binary64) (+.f64 (/.f64 #s(literal 178605/4 binary64) (.f64 x x)) (/.f64 #s(literal -10180485/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal -1991624355/64 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 x #s(literal 5 binary64)))
1/36
#s(literal 1/36 binary64)
(+ 1/36 (* 1/1080 (pow x 2)))
(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/1080 binary64)))
(+ 1/36 (* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2)))))
(+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/1080 binary64) (.f64 (.f64 x x) #s(literal -19/680400 binary64))))))
(+ 1/36 (* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400)))))
(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/1080 binary64) (.f64 x (.f64 x (+.f64 #s(literal -19/680400 binary64) (.f64 (.f64 x x) #s(literal -1/255150 binary64))))))))
(* 1/8037225 (pow x 8))
(*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (.f64 x x))))
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/8037225 binary64) (/.f64 (+.f64 #s(literal -1/255150 binary64) (/.f64 #s(literal -19/680400 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/1080 binary64) (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 -19/680400 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/8037225 (pow x 8))
(*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (.f64 x x))))
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/8037225 binary64) (/.f64 (+.f64 #s(literal -1/255150 binary64) (/.f64 #s(literal -19/680400 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/1080 binary64) (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 -19/680400 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/1080 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/1080 binary64))
(* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/1080 binary64) (.f64 (.f64 x x) #s(literal -19/680400 binary64)))))
(* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/1080 binary64) (.f64 x (.f64 x (+.f64 #s(literal -19/680400 binary64) (.f64 (.f64 x x) #s(literal -1/255150 binary64)))))))
(* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)) 19/680400))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/1080 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -19/680400 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/255150 binary64) (.f64 x (.f64 x #s(literal 1/8037225 binary64)))))))))
(* 1/8037225 (pow x 8))
(*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (.f64 x x))))
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/8037225 binary64) (/.f64 (+.f64 #s(literal -1/255150 binary64) (/.f64 #s(literal -19/680400 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/1080 binary64) (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 -19/680400 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/8037225 (pow x 8))
(*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (.f64 x x))))
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/8037225 binary64) (/.f64 (+.f64 #s(literal -1/255150 binary64) (/.f64 #s(literal -19/680400 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/1080 binary64) (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 -19/680400 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/6 (pow x 2))
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(* 1/2835 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2835 binary64))
(* 1/2835 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2835 binary64))
(* 1/1080 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/1080 binary64))
(* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/1080 binary64) (.f64 (.f64 x x) #s(literal -19/680400 binary64)))))
(* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/1080 binary64) (.f64 x (.f64 x (+.f64 #s(literal -19/680400 binary64) (.f64 (.f64 x x) #s(literal -1/255150 binary64)))))))
(* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)) 19/680400))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/1080 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -19/680400 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/255150 binary64) (.f64 x (.f64 x #s(literal 1/8037225 binary64)))))))))
(* 1/8037225 (pow x 8))
(*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (.f64 x x))))
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/8037225 binary64) (/.f64 (+.f64 #s(literal -1/255150 binary64) (/.f64 #s(literal -19/680400 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/1080 binary64) (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 -19/680400 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/8037225 (pow x 8))
(*.f64 #s(literal 1/8037225 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (.f64 x x))))
(* (pow x 8) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 1/8037225 binary64) (/.f64 (+.f64 #s(literal -1/255150 binary64) (/.f64 #s(literal -19/680400 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 8) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/1080 binary64) (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 -19/680400 binary64) (.f64 x (.f64 x (*.f64 x x)))))))

eval142.0ms (0.8%)

Compiler: Compiled 38949 to 2404 computations (93.8% saved)

prune101.0ms (0.6%)

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	873	9	882
Fresh	4	6	10
Picked	4	1	5
Done	0	6	6
Total	881	22	903

Accuracy

97.6%

Counts

903 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.6%	(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/32400 binary64)))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/180 binary64)))))
	96.9%	(/.f64 x (/.f64 (+.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal -19/3150 binary64))))) x))
	97.0%	(/.f64 x (/.f64 (+.f64 #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))) x))
	97.1%	(/.f64 x (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))) (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (*.f64 x x) #s(literal 1/32400 binary64))))))))
	96.5%	(/.f64 x (/.f64 #s(literal 6 binary64) x))
	19.8%	(.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
	96.8%	(.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))))
✓	96.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))))
✓	96.5%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	96.9%	(.f64 (.f64 x #s(literal 1/216 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))))) x))
	96.9%	(.f64 x (/.f64 (.f64 x #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/1080 binary64)))))
	96.8%	(.f64 x (/.f64 (.f64 x #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/1080 binary64) (.f64 (.f64 x x) #s(literal -19/680400 binary64))))))))
	14.0%	(.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)))
✓	97.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
✓	96.5%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	53.2%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
	96.9%	(log1p.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
✓	96.5%	(log1p.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))))
✓	53.2%	(log.f64 (/.f64 (sinh.f64 x) x))
	53.3%	(log.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))
	44.7%	(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sinh.f64 x)))
	1.8%	(log.f64 (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))))

Compiler

Compiled 1452 to 433 computations (70.2% saved)

regimes111.0ms (0.6%)

Counts

39 → 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 #s(literal 6 binary64) x))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))))
(/.f64 x (/.f64 (+.f64 #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))) x))
(.f64 x (/.f64 (.f64 x #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/1080 binary64)))))
(.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
(/.f64 x (/.f64 (+.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal -19/3150 binary64))))) x))
(.f64 x (/.f64 (.f64 x #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/1080 binary64) (.f64 (.f64 x x) #s(literal -19/680400 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 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/32400 binary64)))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/180 binary64)))))
(.f64 x (.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))
(.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))))
(.f64 x (.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))
(.f64 (.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) (.f64 x (.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal -1/180 binary64) x) x) #s(literal 1/2835 binary64))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))
(.f64 x (/.f64 (.f64 x #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64))))))
(.f64 (.f64 x #s(literal 1/216 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))))) x))
(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))) x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(/.f64 x (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))) (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (*.f64 x x) #s(literal 1/32400 binary64))))))))
(.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64))))))
(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))))) (.f64 (/.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64)))))) x))
(/.f64 x (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))) (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64)))))
(log1p.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))))
(log.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #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 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))))
(.f64 x (.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64))))))))
(log.f64 (/.f64 (sinh.f64 x) x))
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sinh.f64 x)))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (*.f64 x x))))))))

Outputs

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

Calls

3 calls:

90.0ms	x
9.0ms	(/.f64 (sinh.f64 x) x)
8.0ms	(log.f64 (/.f64 (sinh.f64 x) x))

Results

Accuracy	Segments	Branch
97.1%	1	`x`
97.1%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
97.1%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes8.0ms (0%)

Counts

22 → 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 #s(literal 6 binary64) x))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))))
(/.f64 x (/.f64 (+.f64 #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))) x))
(.f64 x (/.f64 (.f64 x #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/1080 binary64)))))
(.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
(/.f64 x (/.f64 (+.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal -19/3150 binary64))))) x))
(.f64 x (/.f64 (.f64 x #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/1080 binary64) (.f64 (.f64 x x) #s(literal -19/680400 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 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/32400 binary64)))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/180 binary64)))))
(.f64 x (.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))
(.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))))
(.f64 x (.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))
(.f64 (.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) (.f64 x (.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal -1/180 binary64) x) x) #s(literal 1/2835 binary64))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))
(.f64 x (/.f64 (.f64 x #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64))))))
(.f64 (.f64 x #s(literal 1/216 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))))) x))
(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))) x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))

Outputs

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
97.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0.1%)

Counts

20 → 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 #s(literal 6 binary64) x))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))))
(/.f64 x (/.f64 (+.f64 #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))) x))
(.f64 x (/.f64 (.f64 x #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/1080 binary64)))))
(.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
(/.f64 x (/.f64 (+.f64 #s(literal 6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/5 binary64) (.f64 (.f64 x x) #s(literal -19/3150 binary64))))) x))
(.f64 x (/.f64 (.f64 x #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/1080 binary64) (.f64 (.f64 x x) #s(literal -19/680400 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 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/32400 binary64)))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/180 binary64)))))
(.f64 x (.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))
(.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))))
(.f64 x (.f64 (+.f64 #s(literal 1/2835 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/180 binary64) (.f64 x x)))) (.f64 (.f64 x (.f64 x (.f64 x x))) x)))
(.f64 (.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/6 binary64) x) (.f64 x (.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal -1/180 binary64) x) x) #s(literal 1/2835 binary64))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))
(.f64 x (/.f64 (.f64 x #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64))))))
(.f64 (.f64 x #s(literal 1/216 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))))) x))

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
97.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

8 → 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 #s(literal 6 binary64) x))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))))
(/.f64 x (/.f64 (+.f64 #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))) x))
(.f64 x (/.f64 (.f64 x #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/1080 binary64)))))
(.f64 (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))

Outputs
(/.f64 x (/.f64 (+.f64 #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))) x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
97.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
96.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

3 → 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 #s(literal 6 binary64) x))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
96.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
96.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
96.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

76×	`*-commutative_binary64`
40×	`+-commutative_binary64`
24×	`sub-neg_binary64`
22×	`distribute-lft-neg-in_binary64`
22×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	152
1	101	152
2	121	152
3	140	152
4	153	152
5	169	152
6	180	152
7	186	152
8	188	152

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))) (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (*.f64 x x) #s(literal 1/32400 binary64))))))))
(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))) x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
(/.f64 x (/.f64 (+.f64 #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))) x))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))

Outputs
(/.f64 x (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) #s(literal -1/6 binary64))))) (.f64 x (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))) (.f64 (*.f64 x x) #s(literal 1/32400 binary64))))))))
(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))) x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))))
(.f64 x (/.f64 (.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
(/.f64 x (/.f64 (+.f64 #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))) x))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))

soundness1.4s (7.8%)

Rules

4352×	`-lowering-.f32`
4352×	`-lowering-.f64`
3530×	`-lowering-.f32`
3530×	`-lowering-.f64`
2896×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	310	3061
1	857	2633
2	2466	2605
3	7155	2605
0	8281	2605
0	39	326
1	240	209
2	2284	206
0	8432	206
0	32	184
1	209	161
2	1892	161
0	8299	161
0	59	392
1	163	350
2	471	347
3	1530	347
4	3322	347
5	5867	347
6	7331	347
0	8086	347

Stop Event

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

Compiler

Compiled 354 to 175 computations (50.6% saved)

preprocess67.0ms (0.4%)

Remove: (abs x)
Compiler: Compiled 828 to 354 computations (57.2% saved)

Iter	Nodes	Cost
0	56	152
1	101	152
2	121	152
3	140	152
4	153	152
5	169	152
6	180	152
7	186	152
8	188	152

Iter	Nodes	Cost
0	56	152
1	101	152
2	121	152
3	140	152
4	153	152
5	169	152
6	180	152
7	186	152
8	188	152

analyze149.0ms (0.8%)

sample5.2s (29.5%)

preprocess269.0ms (1.5%)

explain236.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify194.0ms (1.1%)

localize111.0ms (0.6%)

series76.0ms (0.4%)

rewrite273.0ms (1.5%)

simplify209.0ms (1.2%)

eval85.0ms (0.5%)

prune55.0ms (0.3%)

simplify257.0ms (1.5%)

localize645.0ms (3.7%)

series78.0ms (0.4%)

rewrite370.0ms (2.1%)

simplify347.0ms (2%)

eval239.0ms (1.4%)

prune124.0ms (0.7%)

simplify215.0ms (1.2%)

localize845.0ms (4.8%)

series15.0ms (0.1%)

rewrite367.0ms (2.1%)

simplify302.0ms (1.7%)

eval188.0ms (1.1%)

prune192.0ms (1.1%)

simplify173.0ms (1%)

localize1.1s (6.4%)

series31.0ms (0.2%)

rewrite3.1s (17.8%)

simplify287.0ms (1.6%)

eval142.0ms (0.8%)

prune101.0ms (0.6%)

regimes111.0ms (0.6%)

regimes8.0ms (0%)

regimes12.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify17.0ms (0.1%)

soundness1.4s (7.8%)

preprocess67.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	56	152
1	101	152
2	121	152
3	140	152
4	153	152
5	169	152
6	180	152
7	186	152
8	188	152