Metrics for bug500, discussion (missed optimization)

analyze148.0ms (0.9%)

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: 53.0ms

ival-log: 21.0ms (39.5% of total)

ival-div: 17.0ms (32% of total)

ival-sinh: 13.0ms (24.4% of total)

const: 1.0ms (1.9% of total)

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

sample5.0s (30.3%)

Results

2.2s	5894×	2	valid
1.7s	7682×	5	exit
342.0ms	2051×	1	valid
19.0ms	311×	0	valid

Precisions

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

ival-log: 1.3s (44.4% of total)

backward-pass: 819.0ms (28.5% of total)

ival-sinh: 391.0ms (13.6% of total)

ival-div: 367.0ms (12.8% of total)

const: 18.0ms (0.6% of total)

Bogosity

preprocess262.0ms (1.6%)

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)

explain231.0ms (1.4%)

FPErrors

Click to see full error table

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

Results

182.0ms	382×	2	valid
21.0ms	112×	1	valid
1.0ms	18×	0	valid

Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-log: 81.0ms (65.9% of total)

ival-sinh: 16.0ms (13% of total)

backward-pass: 13.0ms (10.6% of total)

ival-div: 12.0ms (9.8% of total)

const: 1.0ms (0.8% 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
▶	50.7%	(log.f64 (/.f64 (sinh.f64 x) x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify199.0ms (1.2%)

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

localize113.0ms (0.7%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (sinh.f64 x) x)
✓	accuracy	100.0%	(sinh.f64 x)
✓	accuracy	50.7%	(log.f64 (/.f64 (sinh.f64 x) x))

Results

93.0ms	191×	2	valid
10.0ms	56×	1	valid
1.0ms	9×	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 (57.1% of total)

ival-sinh: 10.0ms (16.3% of total)

ival-div: 8.0ms (13.1% of total)

backward-pass: 8.0ms (13.1% of total)

const: 0.0ms (0% of total)

series78.0ms (0.5%)

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
40.0ms	x	@	inf	(log (/ (sinh x) x))
36.0ms	x	@	-inf	(log (/ (sinh x) x))
2.0ms	x	@	0	(log (/ (sinh x) x))
0.0ms	x	@	0	(/ (sinh x) x)
0.0ms	x	@	0	(sinh x)

rewrite295.0ms (1.8%)

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	957	11
0	8616	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 #s(literal 2 binary64) (/.f64 x (sinh.f64 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 x (sinh.f64 x)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))))
(+.f64 (neg.f64 (log.f64 (*.f64 (/.f64 x (sinh.f64 x)) #s(literal 1/2 binary64)))) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (log.f64 (.f64 (/.f64 x (sinh.f64 x)) #s(literal 1/2 binary64)))) (log.f64 #s(literal 1/2 binary64)))
(-.f64 (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))) (/.f64 #s(literal -1 binary64) (exp.f64 (.f64 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 (exp.f64 (.f64 x #s(literal 2 binary64))) (exp.f64 (.f64 x #s(literal -2 binary64))))) (log.f64 (.f64 (.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 x (sinh.f64 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 #s(literal -2 binary64) (/.f64 x (sinh.f64 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)) (neg.f64 (*.f64 (log.f64 (sinh.f64 x)) (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)) (neg.f64 (*.f64 (log.f64 (sinh.f64 x)) (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)) (neg.f64 (*.f64 (log.f64 (sinh.f64 x)) (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 (exp.f64 (.f64 x #s(literal 2 binary64))) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #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)))))))

simplify178.0ms (1.1%)

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)))

eval73.0ms (0.4%)

Compiler: Compiled 8526 to 1484 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

97.8%

Counts

415 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.0%	(.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)))))))))
▶	97.3%	(.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)))))))
	97.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
▶	96.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
▶	50.7%	(log.f64 (/.f64 (.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)))))))) x))
✓	50.7%	(log.f64 (/.f64 (sinh.f64 x) x))
	50.5%	(log.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)))
	50.7%	(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))))))))
▶	50.7%	(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))))))
	43.7%	(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sinh.f64 x)))

Compiler

Compiled 282 to 180 computations (36.2% saved)

simplify259.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.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)))))))
✓	cost-diff	0	(.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))))))))
✓	cost-diff	128	(log.f64 (/.f64 (.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)))))))) x))
✓	cost-diff	256	(/.f64 (.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)))))))) 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

3420×	`+-lowering-+.f64`
3420×	`+-lowering-+.f32`
2744×	`-lowering-.f32`
2744×	`-lowering-.f64`
2492×	`distribute-lft-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	341
1	140	297
2	513	290
3	1621	284
4	3595	283
5	6030	283
6	6487	283
7	6744	283
8	6986	283
9	7203	283
0	8567	283

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
(log (/ (* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))))) x))
(/ (* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))))) x)
(* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))))
x
(+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))))
1
(* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))
(* x x)
(+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))
1/6
(* (* x x) (+ 1/120 (* (* x x) 1/5040)))
(+ 1/120 (* (* x x) 1/5040))
1/120
(* (* x x) 1/5040)
1/5040

Outputs
(* x (* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))))
(.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)))))))
x
(* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))
(.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)))))))
(+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))
(+.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))))))
1/6
#s(literal 1/6 binary64)
(* (* x x) (+ -1/180 (* (* x x) 1/2835)))
(.f64 x (.f64 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 (.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)))))))))
(* 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 (.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))))))))
1/6
#s(literal 1/6 binary64)
(* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))
(.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)))))))
(+ -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)
(log (/ (* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))))) x))
(log1p.f64 (.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)))))))
(/ (* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))))) 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)))))))
(* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))))
(.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))))))))
x
(+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))))
(+.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
#s(literal 1 binary64)
(* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))
(.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))))))
(* x x)
(*.f64 x x)
(+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))
(+.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)))))
1/6
#s(literal 1/6 binary64)
(* (* x x) (+ 1/120 (* (* x x) 1/5040)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(+ 1/120 (* (* x x) 1/5040))
(+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))
1/120
#s(literal 1/120 binary64)
(* (* x x) 1/5040)
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
1/5040
#s(literal 1/5040 binary64)

localize691.0ms (4.2%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/5040 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
✓	accuracy	99.7%	(.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))))))
✓	accuracy	53.0%	(log.f64 (/.f64 (.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)))))))) 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	53.0%	(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	99.8%	(.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	99.8%	(.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 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))
✓	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	99.7%	(.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

483.0ms	191×	2	valid
90.0ms	57×	1	valid
5.0ms	8×	0	valid

Compiler

Compiled 404 to 39 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 325.0ms

ival-mult: 88.0ms (27.1% of total)

ival-log: 71.0ms (21.8% of total)

...c/correct-round.rkt:119:19: 61.0ms (18.8% of total)

backward-pass: 58.0ms (17.8% of total)

ival-add: 38.0ms (11.7% of total)

ival-div: 8.0ms (2.5% of total)

const: 1.0ms (0.3% of total)

series16.0ms (0.1%)

Counts

24 → 288

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 (/ (* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))))) x)>
#<alt (log (/ (* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))))) x))>
#<alt (* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))))>
#<alt (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))))>
#<alt (* (* x x) 1/2835)>
#<alt (* x (+ 1/2835 (* (* x x) -1/37800)))>
#<alt (* (* x x) -1/37800)>
#<alt (* (* x x) 1/120)>
#<alt (+ 1/6 (* (* x x) 1/120))>
#<alt (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))>
#<alt (* (* x x) (+ 1/120 (* (* x x) 1/5040)))>
#<alt (* (* x x) 1/5040)>

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>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180))))>
#<alt (+ (log 1/5040) (* -6 (log (/ 1 x))))>
#<alt (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))>
#<alt (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))>
#<alt (+ (log 1/5040) (* -6 (log (/ -1 x))))>
#<alt (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))>
#<alt (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))>
#<alt 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 (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 7))>
#<alt (* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/2835 (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 (* -1/37800 (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)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>

Calls

72 calls:

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

rewrite310.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3384×	`fma-lowering-fma.f32`
3384×	`fma-lowering-fma.f64`
2982×	`-lowering-.f32`
2982×	`-lowering-.f64`
1940×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	260
1	271	224
2	2581	221
0	8195	221

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 457

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)))
(/ (* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))))) x)
(log (/ (* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))))) x))
(* x (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))))
(+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))))
(* (* x x) 1/2835)
(* x (+ 1/2835 (* (* x x) -1/37800)))
(* (* x x) -1/37800)
(* (* x x) 1/120)
(+ 1/6 (* (* x x) 1/120))
(* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))
(* (* x x) (+ 1/120 (* (* x x) 1/5040)))
(* (* x x) 1/5040)

Outputs
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x (.f64 x x)))))
(+.f64 (.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)))))))
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x (.f64 x x))) x))
(+.f64 (.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)))
(+.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 x (.f64 x #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 x x)) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x (*.f64 x x)))))
(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 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x (*.f64 x x))) 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 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x (*.f64 x x)))))
(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 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x (*.f64 x x))) 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 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x (*.f64 x x)))))
(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 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x (*.f64 x x))) 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 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))))) (.f64 x x) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x (*.f64 x x)))))
(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 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x (*.f64 x x))) 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 (.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 (.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 (.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 1/6 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 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x (.f64 x x))))
(+.f64 (.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 x #s(literal 1/6 binary64) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x (*.f64 x x))))
(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 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x (*.f64 x x))))
(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)))
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(pow.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))) (-.f64 #s(literal 1/36 binary64) (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 x x))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x x))))) (/.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 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(+.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))))
(+.f64 (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (.f64 x (.f64 x #s(literal 1/6 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x)))))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) (.f64 (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))) #s(literal 1 binary64)))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (*.f64 x x))))
(fma.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (*.f64 x x))))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (*.f64 x x))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (*.f64 x x)))))
(fma.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x)) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (.f64 x x) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) x (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (*.f64 x x))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(fma.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) x) x (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (-.f64 (.f64 (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x)))))) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))
(/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x)))))) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64))))) #s(literal 1/6 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))
(.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 x (*.f64 x #s(literal 1/5040 binary64))))))))
(.f64 (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))) (.f64 x x))
(.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))) #s(literal 1 binary64))
(.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))))) x)
(.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))))) (*.f64 x x))
(+.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64))))))
(+.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
(fma.f64 x (.f64 x #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))
(fma.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(fma.f64 x (.f64 (.f64 x #s(literal 1/5040 binary64)) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/120 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/5040 binary64))) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(fma.f64 #s(literal 1/120 binary64) (.f64 x x) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))
(fma.f64 #s(literal 1/5040 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(fma.f64 (.f64 x #s(literal 1/120 binary64)) x (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/5040 binary64))))))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/5040 binary64)) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/5040 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(fma.f64 (.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) x) x (.f64 (*.f64 x x) #s(literal 1/120 binary64)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/1728000 binary64) (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64)))))) (.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))))
(/.f64 (-.f64 (.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/5040 binary64))))))) (-.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 1/5040 binary64)))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64))))) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/5040 binary64))) #s(literal 1/120 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64)))) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)))) (.f64 x x)) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/5040 binary64))) #s(literal 1/120 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/25401600 binary64))) (.f64 x x)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 x x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))
(.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) x)
(.f64 x (.f64 x #s(literal 1/5040 binary64)))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(.f64 #s(literal 1/5040 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/5040 binary64)) x)

simplify280.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

3310×	`-lowering-.f32`
3310×	`-lowering-.f64`
2456×	`+-lowering-+.f64`
2456×	`+-lowering-+.f32`
1648×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	216	2859
1	664	2428
2	2037	2376
3	6663	2373
0	8042	2373

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
1/6
(+ 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
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180))))
(+ (log 1/5040) (* -6 (log (/ 1 x))))
(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2)))))
(- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))
(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))
(+ (log 1/5040) (* -6 (log (/ -1 x))))
(+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2)))))
(- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))
(+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))
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))))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 7))
(* (pow x 7) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/6 (/ 1 (pow x 2))) (pow x 4))) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/2835 (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))))))
(* -1/37800 (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)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (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 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 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))))))))
(* 1/2835 (pow x 6))
(*.f64 #s(literal 1/2835 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 1/2835 (pow x 6))
(*.f64 #s(literal 1/2835 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (+.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 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))) (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 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.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 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))) (pow.f64 x #s(literal 5 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 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 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x 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 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x 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 x (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* 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 x (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* (pow x 4) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* -1/180 (pow x 2))
(.f64 x (.f64 x #s(literal -1/180 binary64)))
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))
(.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))
(.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))
(.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x 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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(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))

eval122.0ms (0.7%)

Compiler: Compiled 24948 to 2479 computations (90.1% saved)

prune146.0ms (0.9%)

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	927	18	945
Fresh	0	4	4
Picked	3	2	5
Done	0	1	1
Total	930	25	955

Accuracy

97.9%

Counts

955 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.6%	(/.f64 (-.f64 (pow.f64 (log.f64 (.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 x (.f64 x #s(literal 1/5040 binary64)))))))))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (.f64 (.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 x (*.f64 x #s(literal 1/5040 binary64))))))))) x)))
	97.3%	(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.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 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
	97.2%	(/.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 (.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 (.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)))))
	2.9%	(-.f64 (log.f64 #s(literal 1/5040 binary64)) (*.f64 #s(literal -6 binary64) (log.f64 x)))
	2.9%	(+.f64 (log.f64 #s(literal 1/5040 binary64)) (+.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (/.f64 #s(literal 42 binary64) (.f64 x x))))
	15.4%	(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))
	97.2%	(.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 1/6480 binary64)))))))
	97.0%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/180 binary64)))))
▶	96.8%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	34.2%	(.f64 x (/.f64 (+.f64 (.f64 #s(literal 1/216 binary64) (.f64 x (.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 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 x (.f64 x x)))) (+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x (.f64 x x)))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x (.f64 x x))))))))
▶	97.3%	(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.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))))))) 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))))))))
	97.3%	(.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 (.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)))))))) 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))))))
	97.3%	(.f64 x (+.f64 (.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))))
✓	97.3%	(.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)))))))
	97.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
✓	96.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
▶	97.3%	(log1p.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
	50.7%	(log.f64 (/.f64 (.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 x (*.f64 x #s(literal 1/5040 binary64)))))))) x) x))
▶	4.6%	(log.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (*.f64 x x))))))) x))
	50.7%	(log.f64 (/.f64 (.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 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/5040 binary64)))))))) x))
✓	50.7%	(log.f64 (/.f64 (sinh.f64 x) x))
▶	50.5%	(log.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)))
	50.7%	(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))))))))
	43.7%	(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sinh.f64 x)))
	1.9%	(log.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/120 binary64)))

Compiler

Compiled 1406 to 613 computations (56.4% saved)

simplify193.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(-.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))))
✓	cost-diff	256	(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (*.f64 x x))))))) x)
✓	cost-diff	512	(-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x)))))
✓	cost-diff	2176	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x)))))
✓	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 #s(literal 1/36 binary64) (.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)))))))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1/36 binary64) (.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))))))) x)
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.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))))))) 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)))))))
✓	cost-diff	0	(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.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))))))) 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))))))))
✓	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 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
✓	cost-diff	0	(log1p.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))

Rules

5288×	`-lowering-.f32`
5288×	`-lowering-.f64`
1568×	`+-lowering-+.f64`
1568×	`+-lowering-+.f32`
1106×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	501
1	168	452
2	699	362
3	4152	349
0	8032	349

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize906.0ms (5.5%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.f64 x #s(literal 1/5040 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	53.0%	(log.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (*.f64 x x))))))) x))
✓	accuracy	27.9%	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.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	53.0%	(log.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)))
✓	accuracy	99.6%	(.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)))))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))
✓	accuracy	99.4%	(.f64 (-.f64 #s(literal 1/36 binary64) (.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))))))) x)
✓	accuracy	99.4%	(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.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))))))) 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)))))))
✓	accuracy	99.8%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.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	99.5%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))

Results

652.0ms	191×	2	valid
112.0ms	57×	1	valid
5.0ms	8×	0	valid

Compiler

Compiled 822 to 46 computations (94.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 508.0ms

ival-mult: 138.0ms (27.2% of total)

ival-log: 122.0ms (24% of total)

...c/correct-round.rkt:119:19: 80.0ms (15.7% of total)

backward-pass: 60.0ms (11.8% of total)

compiled-spec: 51.0ms (10% of total)

ival-div: 21.0ms (4.1% of total)

ival-add: 21.0ms (4.1% of total)

ival-sub: 14.0ms (2.8% of total)

const: 1.0ms (0.2% of total)

series25.0ms (0.2%)

Counts

23 → 276

Calls

Call 1

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

Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/6480 (* 1/259200 (pow x 2)))) 1/180))))>
#<alt (+ (log 1/120) (* -4 (log (/ 1 x))))>
#<alt (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))>
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))>
#<alt (+ (log 1/120) (* -4 (log (/ -1 x))))>
#<alt (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))>
#<alt (- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* 1/120 (pow x 3))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 3))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))>
#<alt (* 1/36 x)>
#<alt (* x (+ 1/36 (* -1/32400 (pow x 4))))>
#<alt (* x (+ 1/36 (* (pow x 4) (- (* 1/255150 (pow x 2)) 1/32400))))>
#<alt (* x (+ 1/36 (* (pow x 4) (- (* (pow x 2) (+ 1/255150 (* -1/8037225 (pow x 2)))) 1/32400))))>
#<alt (* -1/8037225 (pow x 9))>
#<alt (* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) 1/8037225))>
#<alt (* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))>
#<alt (* (pow x 9) (- (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))>
#<alt (* -1/8037225 (pow x 9))>
#<alt (* -1 (* (pow x 9) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))))>
#<alt 1/36>
#<alt (+ 1/36 (* -1/32400 (pow x 4)))>
#<alt (+ 1/36 (* (pow x 4) (- (* 1/255150 (pow x 2)) 1/32400)))>
#<alt (+ 1/36 (* (pow x 4) (- (* (pow x 2) (+ 1/255150 (* -1/8037225 (pow x 2)))) 1/32400)))>
#<alt (* -1/8037225 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/255150 (/ 1 (pow x 2))) 1/8037225))>
#<alt (* (pow x 8) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))>
#<alt (* -1/8037225 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/255150 (/ 1 (pow x 2))) 1/8037225))>
#<alt (* (pow x 8) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))>
#<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 (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/36 (pow x 4))>
#<alt (* (pow x 4) (+ 1/36 (* -1/14400 (pow x 4))))>
#<alt (* (pow x 4) (+ 1/36 (* (pow x 4) (- (* -1/302400 (pow x 2)) 1/14400))))>
#<alt (* (pow x 4) (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -1/25401600 (pow x 2)) 1/302400)) 1/14400))))>
#<alt (* -1/25401600 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 1/302400 (* 1/14400 (/ 1 (pow x 2)))) (pow x 2))) 1/25401600))>
#<alt (* (pow x 12) (- (* 1/36 (/ 1 (pow x 8))) (+ 1/25401600 (+ (/ 1/14400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2)))))))>
#<alt (* -1/25401600 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 1/302400 (* 1/14400 (/ 1 (pow x 2)))) (pow x 2))) 1/25401600))>
#<alt (* (pow x 12) (- (* 1/36 (/ 1 (pow x 8))) (+ 1/25401600 (+ (/ 1/14400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/5040 (pow x 2)) 1/120))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/5040 (pow x 2)) 1/120))))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* -1/5040 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 1/5040 (* 1/120 (/ 1 (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 (* -1/180 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 (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180))))>
#<alt (+ (log 1/5040) (* -6 (log (/ 1 x))))>
#<alt (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))>
#<alt (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))>
#<alt (+ (log 1/5040) (* -6 (log (/ -1 x))))>
#<alt (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))>
#<alt (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>

Calls

69 calls:

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

rewrite413.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

5244×	`-lowering-.f32`
5244×	`-lowering-.f64`
1962×	`/-lowering-/.f32`
1962×	`/-lowering-/.f64`
1852×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	314
1	331	206
2	3000	204
0	9334	204

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 438

Calls

Call 1

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

Outputs
(log.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))))
(+.f64 (log1p.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))) #s(literal 1 binary64)))))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))))))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))))))))
(-.f64 (log1p.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))))) (log1p.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))))) (log.f64 (+.f64 (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64))))))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))))) (log.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))) #s(literal 1 binary64)))))))
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(+.f64 (.f64 (.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 -1/180 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (+.f64 #s(literal -1/5832000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/22785532875 binary64))))) (+.f64 #s(literal 1/32400 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/2835 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/2835 binary64)) #s(literal -1/180 binary64)))))
(/.f64 (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (-.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/8037225 binary64)))) (-.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))
(pow.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))) #s(literal 2 binary64))
(pow.f64 (.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))))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))) #s(literal 2 binary64))
(.f64 x (.f64 (+.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 x (.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 (.f64 x x) (.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 (+.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 (.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 x) (+.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 (.f64 (+.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))) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (*.f64 x x))
(.f64 (exp.f64 (log.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (exp.f64 (log.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(log.f64 (.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 x x)))
(+.f64 (log.f64 (.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))))))))) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(+.f64 (log.f64 x) (log.f64 (/.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))))))) x)))
(+.f64 #s(literal 0 binary64) (log.f64 (.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 x x))))
(+.f64 (log.f64 (/.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))))))) x)) (log.f64 x))
(+.f64 (log1p.f64 (.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))))))) (log.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log1p.f64 (.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))))))) (log.f64 (/.f64 x x)))
(+.f64 (log.f64 (.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 #s(literal 0 binary64) x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 (.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))))))))))
(-.f64 (log.f64 (.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))))))))) (log.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 x 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))))))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (/.f64 x 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)))))))) #s(literal 1 binary64))))
(-.f64 (log.f64 (.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 #s(literal 0 binary64) x))) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (/.f64 x 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)))))))))))
(-.f64 (log.f64 (neg.f64 (.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 #s(literal 0 binary64) x)))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(-.f64 (log.f64 (.f64 (.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)))))))) #s(literal 1 binary64))) (log.f64 x))
(neg.f64 (log.f64 (/.f64 (/.f64 x 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))))))))))
(neg.f64 (log.f64 (/.f64 (/.f64 (/.f64 x 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)))))))) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.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))))))))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (.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))))))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 (.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))))))))) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.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))))))))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (.f64 (.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)))))))) x)))
(.f64 #s(literal -1 binary64) (log.f64 (/.f64 (/.f64 x 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))))))))))
(.f64 x (.f64 x #s(literal 1/5040 binary64)))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(.f64 #s(literal 1/5040 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/5040 binary64)) x)

simplify355.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

3906×	`-lowering-.f32`
3906×	`-lowering-.f64`
3644×	`+-lowering-+.f64`
3644×	`+-lowering-+.f32`
1368×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	326	2701
1	967	2292
2	2925	2252
3	7956	2252
0	8514	2252

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/6480 (* 1/259200 (pow x 2)))) 1/180))))
(+ (log 1/120) (* -4 (log (/ 1 x))))
(+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2)))))
(- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))
(- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))
(+ (log 1/120) (* -4 (log (/ -1 x))))
(+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2)))))
(- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))
(- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 3))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/6 x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 5))
(* (pow x 5) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/180 (/ 1 (pow x 2))) (+ 1/2835 (/ 1/6 (pow x 4))))))
(* 1/36 x)
(* x (+ 1/36 (* -1/32400 (pow x 4))))
(* x (+ 1/36 (* (pow x 4) (- (* 1/255150 (pow x 2)) 1/32400))))
(* x (+ 1/36 (* (pow x 4) (- (* (pow x 2) (+ 1/255150 (* -1/8037225 (pow x 2)))) 1/32400))))
(* -1/8037225 (pow x 9))
(* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) 1/8037225))
(* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))
(* (pow x 9) (- (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))
(* -1/8037225 (pow x 9))
(* -1 (* (pow x 9) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))))
(* -1 (* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))))
(* -1 (* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))))
1/36
(+ 1/36 (* -1/32400 (pow x 4)))
(+ 1/36 (* (pow x 4) (- (* 1/255150 (pow x 2)) 1/32400)))
(+ 1/36 (* (pow x 4) (- (* (pow x 2) (+ 1/255150 (* -1/8037225 (pow x 2)))) 1/32400)))
(* -1/8037225 (pow x 8))
(* (pow x 8) (- (* 1/255150 (/ 1 (pow x 2))) 1/8037225))
(* (pow x 8) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))
(* -1/8037225 (pow x 8))
(* (pow x 8) (- (* 1/255150 (/ 1 (pow x 2))) 1/8037225))
(* (pow x 8) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))
(* 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)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/36 (pow x 4))
(* (pow x 4) (+ 1/36 (* -1/14400 (pow x 4))))
(* (pow x 4) (+ 1/36 (* (pow x 4) (- (* -1/302400 (pow x 2)) 1/14400))))
(* (pow x 4) (+ 1/36 (* (pow x 4) (- (* (pow x 2) (- (* -1/25401600 (pow x 2)) 1/302400)) 1/14400))))
(* -1/25401600 (pow x 12))
(* -1 (* (pow x 12) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 1/302400 (* 1/14400 (/ 1 (pow x 2)))) (pow x 2))) 1/25401600))
(* (pow x 12) (- (* 1/36 (/ 1 (pow x 8))) (+ 1/25401600 (+ (/ 1/14400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2)))))))
(* -1/25401600 (pow x 12))
(* -1 (* (pow x 12) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 1/302400 (* 1/14400 (/ 1 (pow x 2)))) (pow x 2))) 1/25401600))
(* (pow x 12) (- (* 1/36 (/ 1 (pow x 8))) (+ 1/25401600 (+ (/ 1/14400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/5040 (pow x 2)) 1/120))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/5040 (pow x 2)) 1/120))))
(* -1/5040 (pow x 6))
(* -1 (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1/5040 (pow x 6))
(* -1 (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 1/5040 (* 1/120 (/ 1 (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))
(* -1/180 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))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180))))
(+ (log 1/5040) (* -6 (log (/ 1 x))))
(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2)))))
(- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))
(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))
(+ (log 1/5040) (* -6 (log (/ -1 x))))
(+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2)))))
(- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))
(+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))

Outputs
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/6480 binary64)))))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/6480 (* 1/259200 (pow x 2)))) 1/180))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6480 binary64) (.f64 (.f64 x x) #s(literal 1/259200 binary64)))))))))))
(+ (log 1/120) (* -4 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 1/120 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x)))
(+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 1/120 binary64)) (+.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) (/.f64 #s(literal 20 binary64) (.f64 x x))))
(- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 1/120 binary64)) (+.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) (/.f64 #s(literal 20 binary64) (.f64 x x)))) (/.f64 #s(literal -80 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))
(+.f64 (log.f64 #s(literal 1/120 binary64)) (+.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) (+.f64 (+.f64 (/.f64 #s(literal 20 binary64) (.f64 x x)) (/.f64 #s(literal 800/3 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -80 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(+ (log 1/120) (* -4 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal 1/120 binary64)) (*.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 1/120 binary64)) (/.f64 #s(literal 20 binary64) (.f64 x x))))
(- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))
(+.f64 (log.f64 #s(literal 1/120 binary64)) (+.f64 (/.f64 #s(literal 20 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -80 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))
(+.f64 (log.f64 #s(literal 1/120 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 20 binary64) (.f64 x x)) (/.f64 #s(literal 800/3 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -80 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))
(* 1/120 (pow x 4))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))
(* 1/120 (pow x 4))
(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(* x (+ 1/6 (* 1/120 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(* 1/120 (pow x 3))
(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(* 1/120 (pow x 3))
(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/120 binary64)))))
(* (pow x 3) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 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 x (.f64 x #s(literal 1/120 binary64))))
(+ 1/6 (* 1/120 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))
(+ 1/6 (* 1/120 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (.f64 x (+.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 (.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 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))
(* 1/2835 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 1/2835 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2835 binary64))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (+.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 (*.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 (.f64 x 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) (.f64 x (.f64 x (.f64 x (*.f64 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 x (.f64 x (.f64 x (.f64 x x)))))
(* (pow x 5) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
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(+ 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)))))))
(* 1/5040 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5040 binary64))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(* 1/5040 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5040 binary64))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 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 (* -1/120 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/120 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/5040 (pow x 2)) 1/120))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/5040 (pow x 2)) 1/120))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/120 binary64) (.f64 (.f64 x x) #s(literal -1/5040 binary64))))))))
(* -1/5040 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5040 binary64))
(* -1 (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 x x))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))))
(* -1/5040 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5040 binary64))
(* -1 (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (.f64 x x))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x)))))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* -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 (.f64 x (*.f64 x x)) #s(literal 1/2835 binary64))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) (.f64 #s(literal -1/180 binary64) (*.f64 x #s(literal 1 binary64))))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) (.f64 #s(literal -1/180 binary64) (*.f64 x #s(literal 1 binary64))))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) (.f64 #s(literal -1/180 binary64) (*.f64 x #s(literal 1 binary64))))
(* 1/2835 (pow x 3))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/2835 binary64))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) (.f64 #s(literal -1/180 binary64) (*.f64 x #s(literal 1 binary64))))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) (.f64 #s(literal -1/180 binary64) (*.f64 x #s(literal 1 binary64))))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/2835 binary64)) (.f64 #s(literal -1/180 binary64) (*.f64 x #s(literal 1 binary64))))
(* 1/32400 (pow x 2))
(.f64 x (.f64 x #s(literal 1/32400 binary64)))
(* (pow x 2) (+ 1/32400 (* -1/255150 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) #s(literal -1/255150 binary64))))
(* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/32400 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/255150 binary64) (.f64 (.f64 x x) #s(literal 1/8037225 binary64)))))))
(* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/32400 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/255150 binary64) (.f64 (.f64 x x) #s(literal 1/8037225 binary64)))))))
(* 1/8037225 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8037225 binary64))
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/32400 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x)))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/32400 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x)))))
(* 1/8037225 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8037225 binary64))
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/32400 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x)))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/32400 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x)))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (.f64 x (+.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 (.f64 x x) #s(literal 1/2835 binary64))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180))))
(.f64 (.f64 x x) (+.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 -53/1814400 binary64))))))))
(+ (log 1/5040) (* -6 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 1/5040 binary64)) (*.f64 #s(literal 6 binary64) (log.f64 x)))
(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 1/5040 binary64)) (+.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (/.f64 #s(literal 42 binary64) (.f64 x x))))
(- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 1/5040 binary64)) (+.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (/.f64 #s(literal 42 binary64) (.f64 x x)))) (/.f64 #s(literal -42 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))
(+.f64 (+.f64 (log.f64 #s(literal 1/5040 binary64)) (+.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (/.f64 #s(literal 42 binary64) (.f64 x x)))) (/.f64 (+.f64 #s(literal -42 binary64) (/.f64 #s(literal -5544 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))
(+ (log 1/5040) (* -6 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal 1/5040 binary64)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64)))
(+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2)))))
(+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64)) (+.f64 (log.f64 #s(literal 1/5040 binary64)) (/.f64 #s(literal 42 binary64) (.f64 x x))))
(- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))
(+.f64 (/.f64 #s(literal 42 binary64) (.f64 x x)) (+.f64 (+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64)) (/.f64 #s(literal -42 binary64) (.f64 x (.f64 x (*.f64 x x))))) (log.f64 #s(literal 1/5040 binary64))))
(+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))
(+.f64 (/.f64 (+.f64 #s(literal -42 binary64) (/.f64 #s(literal -5544 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64)) (+.f64 (log.f64 #s(literal 1/5040 binary64)) (/.f64 #s(literal 42 binary64) (.f64 x x)))))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))

eval175.0ms (1.1%)

Compiler: Compiled 57393 to 3447 computations (94% saved)

prune229.0ms (1.4%)

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	1063	12	1075
Fresh	12	5	17
Picked	3	2	5
Done	0	3	3
Total	1078	22	1100

Accuracy

98.0%

Counts

1100 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.2%	(/.f64 x (/.f64 #s(literal 1 binary64) (.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 binary64) (/.f64 (-.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 (.f64 x 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 x) (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))))))
	97.2%	(.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 x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))) (.f64 (/.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))
	97.3%	(.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 x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))) (/.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)))))))
▶	97.2%	(.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 x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))) (.f64 (/.f64 #s(literal 1 binary64) (-.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))
	97.0%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/180 binary64)))))
✓	96.8%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
▶	97.4%	(.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/32400 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 x #s(literal 1/36 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))))))))
	18.5%	(.f64 x (.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
✓	97.3%	(.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)))))))
▶	97.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
	97.2%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/6480 binary64)))))))))
✓	96.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	97.3%	(log1p.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
	50.3%	(log1p.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64))))))
	96.8%	(log1p.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))))
	50.7%	(log.f64 (/.f64 (.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 x (*.f64 x #s(literal 1/5040 binary64)))))))) x) x))
	4.5%	(log.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64)))))))) x))
✓	50.7%	(log.f64 (/.f64 (sinh.f64 x) x))
▶	50.7%	(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))))))))
	43.7%	(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sinh.f64 x)))

Compiler

Compiled 963 to 496 computations (48.5% saved)

simplify210.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	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 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))
✓	cost-diff	0	(+.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)))))))
✓	cost-diff	128	(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))))))))
✓	cost-diff	0	(-.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 x) (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))))
✓	cost-diff	0	(.f64 x (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))))
✓	cost-diff	0	(.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 x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))) (.f64 (/.f64 #s(literal 1 binary64) (-.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))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (-.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)
✓	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 #s(literal 1 binary64) (.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	128	(/.f64 x (/.f64 #s(literal 1 binary64) (.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 (.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 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/32400 binary64)))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))) x)
✓	cost-diff	0	(/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/32400 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)))))))
✓	cost-diff	0	(.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/32400 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))))))))

Rules

3386×	`-lowering-.f32`
3386×	`-lowering-.f64`
2084×	`fma-lowering-fma.f32`
2084×	`fma-lowering-fma.f64`
2046×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	522
1	164	452
2	586	401
3	2203	401
4	7377	401
0	8258	401

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (/ (* (+ 1/36 (* (* x (* x (* x x))) -1/32400)) x) (- 1/6 (* x (* x (+ -1/180 (* (* x x) 1/2835)))))))
x
(/ (* (+ 1/36 (* (* x (* x (* x x))) -1/32400)) x) (- 1/6 (* x (* x (+ -1/180 (* (* x x) 1/2835))))))
(* (+ 1/36 (* (* x (* x (* x x))) -1/32400)) x)
(+ 1/36 (* (* x (* x (* x x))) -1/32400))
1/36
(* (* x (* x (* x x))) -1/32400)
(* x (* x (* x x)))
(* x (* x x))
(* x x)
-1/32400
(- 1/6 (* 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)
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 (* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))))
x
(/ 1 (* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))))
1
(* 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
(* (* x (- 1/36 (* x (* x (* (+ -1/180 (* (* x x) 1/2835)) (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))))) (* (/ 1 (- 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))) x))
(* x (- 1/36 (* 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)))))))
1/36
(* 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)))))
(* (+ -1/180 (* (* x x) 1/2835)) (* (* x 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 (- 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))) x)
(/ 1 (- 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))
1
(- 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))
1/6
(log (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))))
(+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))))
1
(* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))
(* x x)
x
(+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))
1/6
(* (* x x) (+ 1/120 (* (* x x) 1/5040)))
(+ 1/120 (* (* x x) 1/5040))
1/120
(* (* x x) 1/5040)
1/5040

Outputs
(* x (/ (* (+ 1/36 (* (* x (* x (* x x))) -1/32400)) x) (- 1/6 (* x (* x (+ -1/180 (* (* x x) 1/2835)))))))
(.f64 (.f64 x x) (/.f64 (+.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 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -1/2835 binary64)) #s(literal 1/180 binary64))))))
x
(/ (* (+ 1/36 (* (* x (* x (* x x))) -1/32400)) x) (- 1/6 (* x (* x (+ -1/180 (* (* x x) 1/2835))))))
(/.f64 (.f64 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 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal -1/2835 binary64)) #s(literal 1/180 binary64)))))
(* (+ 1/36 (* (* x (* x (* x x))) -1/32400)) x)
(.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))))
(+ 1/36 (* (* x (* x (* x x))) -1/32400))
(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/32400 binary64)))
1/36
#s(literal 1/36 binary64)
(* (* x (* x (* x x))) -1/32400)
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/32400 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)
-1/32400
#s(literal -1/32400 binary64)
(- 1/6 (* x (* x (+ -1/180 (* (* x x) 1/2835)))))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -1/2835 binary64)) #s(literal 1/180 binary64))))
1/6
#s(literal 1/6 binary64)
(* x (* x (+ -1/180 (* (* x x) 1/2835))))
(.f64 x (.f64 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))
1/2835
#s(literal 1/2835 binary64)
(* x (* x (+ 1/6 (* (* x x) -1/180))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/180 binary64))))))
x
(* x (+ 1/6 (* (* x x) -1/180)))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal -1/180 binary64)))))
(+ 1/6 (* (* x x) -1/180))
(+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/180 binary64))))
1/6
#s(literal 1/6 binary64)
(* (* x x) -1/180)
(.f64 x (.f64 x #s(literal -1/180 binary64)))
(* x x)
(*.f64 x x)
-1/180
#s(literal -1/180 binary64)
(/ x (/ 1 (* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))))
(.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)))))))
x
(/ 1 (* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))))
(/.f64 (/.f64 #s(literal 1 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)))))))
1
#s(literal 1 binary64)
(* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))
(.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)))))))
(+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))
(+.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))))))
1/6
#s(literal 1/6 binary64)
(* (* x x) (+ -1/180 (* (* x x) 1/2835)))
(.f64 x (.f64 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)
(* (* x (- 1/36 (* x (* x (* (+ -1/180 (* (* x x) 1/2835)) (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))))) (* (/ 1 (- 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))) x))
(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (.f64 x x) #s(literal -1/2835 binary64)) #s(literal 1/180 binary64))))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) #s(literal -1/2835 binary64)) #s(literal 1/180 binary64))))))
(* x (- 1/36 (* x (* x (* (+ -1/180 (* (* x x) 1/2835)) (* (* x x) (+ -1/180 (* (* x x) 1/2835))))))))
(.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (.f64 x x) #s(literal -1/2835 binary64)) #s(literal 1/180 binary64))))))
x
(- 1/36 (* x (* x (* (+ -1/180 (* (* x x) 1/2835)) (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))))
(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 (*.f64 x x) #s(literal -1/2835 binary64)) #s(literal 1/180 binary64)))))
1/36
#s(literal 1/36 binary64)
(* x (* x (* (+ -1/180 (* (* x x) 1/2835)) (* (* x x) (+ -1/180 (* (* x x) 1/2835))))))
(.f64 (.f64 x x) (.f64 (+.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 (* (+ -1/180 (* (* x x) 1/2835)) (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))
(.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))))))
(* (+ -1/180 (* (* x x) 1/2835)) (* (* x x) (+ -1/180 (* (* x x) 1/2835))))
(.f64 (+.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))))))
(+ -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)))
(.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))
(* (/ 1 (- 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))) x)
(/.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -1/2835 binary64)) #s(literal 1/180 binary64)))))
(/ 1 (- 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -1/2835 binary64)) #s(literal 1/180 binary64)))))
1
#s(literal 1 binary64)
(- 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) #s(literal -1/2835 binary64)) #s(literal 1/180 binary64))))
1/6
#s(literal 1/6 binary64)
(log (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))))
(log1p.f64 (.f64 x (.f64 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 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 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
#s(literal 1 binary64)
(* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))
(.f64 x (.f64 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)))))))
(* x x)
(*.f64 x x)
x
(+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))
(+.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)))))
1/6
#s(literal 1/6 binary64)
(* (* x x) (+ 1/120 (* (* x x) 1/5040)))
(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(+ 1/120 (* (* x x) 1/5040))
(+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))
1/120
#s(literal 1/120 binary64)
(* (* x x) 1/5040)
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
1/5040
#s(literal 1/5040 binary64)

localize1.1s (6.4%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/5040 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
✓	accuracy	99.7%	(.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))))))
✓	accuracy	53.0%	(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))))))))
✓	accuracy	99.7%	(.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 x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))) (.f64 (/.f64 #s(literal 1 binary64) (-.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))
✓	accuracy	99.7%	(.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)))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/2835 binary64))
✓	accuracy	99.4%	(.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 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	99.7%	(.f64 (.f64 x x) #s(literal 1/2835 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (.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	99.5%	(.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))))))
✓	accuracy	100.0%	(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal -1/180 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/180 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/2835 binary64))
✓	accuracy	99.6%	(.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))
✓	accuracy	99.4%	(.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))) x)
✓	accuracy	99.4%	(/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/32400 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)))))))

Results

571.0ms	156×	2	valid
188.0ms	35×	3	valid
147.0ms	56×	1	valid
6.0ms	9×	0	valid

Compiler

Compiled 627 to 48 computations (92.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 420.0ms

ival-mult: 133.0ms (31.6% of total)

...c/correct-round.rkt:119:19: 99.0ms (23.5% of total)

backward-pass: 75.0ms (17.8% of total)

ival-log: 56.0ms (13.3% of total)

ival-add: 27.0ms (6.4% of total)

ival-div: 19.0ms (4.5% of total)

ival-sub: 10.0ms (2.4% of total)

const: 1.0ms (0.2% of total)

series14.0ms (0.1%)

Counts

26 → 312

Calls

Call 1

Inputs
#<alt (* x (/ (* (+ 1/36 (* (* x (* x (* x x))) -1/32400)) x) (- 1/6 (* x (* x (+ -1/180 (* (* x x) 1/2835)))))))>
#<alt (/ (* (+ 1/36 (* (* x (* x (* x x))) -1/32400)) x) (- 1/6 (* x (* x (+ -1/180 (* (* x x) 1/2835))))))>
#<alt (* (+ 1/36 (* (* x (* x (* x x))) -1/32400)) x)>
#<alt (+ 1/36 (* (* x (* x (* x x))) -1/32400))>
#<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 (/ x (/ 1 (* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))))>
#<alt (/ 1 (* 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 (* (/ 1 (- 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))) x)>
#<alt (* (* x (- 1/36 (* x (* x (* (+ -1/180 (* (* x x) 1/2835)) (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))))) (* (/ 1 (- 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))) x))>
#<alt (* x (- 1/36 (* x (* x (* (+ -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)))))))>
#<alt (log (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))))>
#<alt (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))))>
#<alt (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))>
#<alt (* x x)>
#<alt (* x (+ -1/180 (* (* x x) 1/2835)))>
#<alt (* (* x x) 1/2835)>
#<alt (* (* x x) (+ -1/180 (* (* x x) 1/2835)))>
#<alt (* (+ -1/180 (* (* x x) 1/2835)) (* (* x x) (+ -1/180 (* (* x x) 1/2835))))>
#<alt (* (* x x) (+ 1/120 (* (* x x) 1/5040)))>
#<alt (* (* x x) 1/5040)>

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 (* -1/42525 (pow x 2)))) 1/180))))>
#<alt (* 7/80 (pow x 2))>
#<alt (* (pow x 2) (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 7/80 (* 441/320 (/ 1 (pow x 2)))) (/ 20097/1280 (pow x 4))))>
#<alt (* (pow x 2) (- (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6))))) (/ 20097/1280 (pow x 4))))>
#<alt (* 7/80 (pow x 2))>
#<alt (* (pow x 2) (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 7/80 (* 441/320 (/ 1 (pow x 2)))) (/ 20097/1280 (pow x 4))))>
#<alt (* (pow x 2) (- (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6))))) (/ 20097/1280 (pow x 4))))>
#<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 (* -1/42525 (pow x 2)))) 1/180))))>
#<alt (* 7/80 x)>
#<alt (* x (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 7/80 (* 441/320 (/ 1 (pow x 2)))) (/ 20097/1280 (pow x 4))))>
#<alt (* x (- (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6))))) (/ 20097/1280 (pow x 4))))>
#<alt (* 7/80 x)>
#<alt (* x (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- (/ 20097/1280 (pow x 4)) (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* x (- (/ 20097/1280 (pow x 4)) (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6))))))))>
#<alt (* 1/36 x)>
#<alt (* x (+ 1/36 (* -1/32400 (pow x 4))))>
#<alt (* x (+ 1/36 (* -1/32400 (pow x 4))))>
#<alt (* x (+ 1/36 (* -1/32400 (pow x 4))))>
#<alt (* -1/32400 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* -1/32400 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))))>
#<alt 1/36>
#<alt (+ 1/36 (* -1/32400 (pow x 4)))>
#<alt (+ 1/36 (* -1/32400 (pow x 4)))>
#<alt (+ 1/36 (* -1/32400 (pow x 4)))>
#<alt (* -1/32400 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* -1/32400 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<alt (* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))>
#<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 (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 (* 1/6 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 (* 6 x)>
#<alt (* x (+ 6 (* -1/5 (pow x 2))))>
#<alt (* x (+ 6 (* (pow x 2) (- (* 61/3150 (pow x 2)) 1/5))))>
#<alt (* x (+ 6 (* (pow x 2) (- (* (pow x 2) (+ 61/3150 (* -101/94500 (pow x 2)))) 1/5))))>
#<alt (/ -2835 (pow x 3))>
#<alt (* -1 (/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (/ (- (* -1 (/ (+ 178605/4 (* 32684715/16 (/ 1 (pow x 2)))) (pow x 2))) 2835) (pow x 3))>
#<alt (/ (- (* -1 (/ (+ 32684715/16 (* 3409390845/64 (/ 1 (pow x 2)))) (pow x 4))) (+ 2835 (* 178605/4 (/ 1 (pow x 2))))) (pow x 3))>
#<alt (/ -2835 (pow x 3))>
#<alt (* -1 (/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 2835 (+ (* 178605/4 (/ 1 (pow x 2))) (/ 32684715/16 (pow x 4)))) (pow x 3)))>
#<alt (* -1 (/ (+ 2835 (+ (* 178605/4 (/ 1 (pow x 2))) (+ (* 3409390845/64 (/ 1 (pow x 6))) (/ 32684715/16 (pow x 4))))) (pow x 3)))>
#<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 (* 1/36 x)>
#<alt (* x (+ 1/36 (* -1/32400 (pow x 4))))>
#<alt (* x (+ 1/36 (* (pow x 4) (- (* 1/255150 (pow x 2)) 1/32400))))>
#<alt (* x (+ 1/36 (* (pow x 4) (- (* (pow x 2) (+ 1/255150 (* -1/8037225 (pow x 2)))) 1/32400))))>
#<alt (* -1/8037225 (pow x 9))>
#<alt (* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) 1/8037225))>
#<alt (* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))>
#<alt (* (pow x 9) (- (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))>
#<alt (* -1/8037225 (pow x 9))>
#<alt (* -1 (* (pow x 9) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))))>
#<alt 1/36>
#<alt (+ 1/36 (* -1/32400 (pow x 4)))>
#<alt (+ 1/36 (* (pow x 4) (- (* 1/255150 (pow x 2)) 1/32400)))>
#<alt (+ 1/36 (* (pow x 4) (- (* (pow x 2) (+ 1/255150 (* -1/8037225 (pow x 2)))) 1/32400)))>
#<alt (* -1/8037225 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/255150 (/ 1 (pow x 2))) 1/8037225))>
#<alt (* (pow x 8) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))>
#<alt (* -1/8037225 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/255150 (/ 1 (pow x 2))) 1/8037225))>
#<alt (* (pow x 8) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/8037225 (/ 1/32400 (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) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180))))>
#<alt (+ (log 1/5040) (* -6 (log (/ 1 x))))>
#<alt (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))>
#<alt (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))>
#<alt (+ (log 1/5040) (* -6 (log (/ -1 x))))>
#<alt (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))>
#<alt (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<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 (* -1/180 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 (* (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 (* 1/32400 (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 (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>
#<alt (* 1/5040 (pow x 2))>

Calls

78 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(* x (* x (+ 1/6 (* (* x x) -1/180))))
1.0ms	x	@	inf	(* (+ 1/36 (* (* x (* x (* x x))) -1/32400)) x)
0.0ms	x	@	inf	(* x (* x (+ 1/6 (* (* x x) -1/180))))
0.0ms	x	@	inf	(* x (/ (* (+ 1/36 (* (* x (* x (* x x))) -1/32400)) x) (- 1/6 (* x (* x (+ -1/180 (* (* x x) 1/2835)))))))
0.0ms	x	@	inf	(* (* x x) -1/180)

rewrite2.3s (13.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2894×	`-lowering-.f32`
2894×	`-lowering-.f64`
2656×	`fma-lowering-fma.f32`
2656×	`fma-lowering-fma.f64`
2240×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	320
1	310	254
2	2533	245
0	8294	245

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 709

Calls

Call 1

Inputs
(* x (/ (* (+ 1/36 (* (* x (* x (* x x))) -1/32400)) x) (- 1/6 (* x (* x (+ -1/180 (* (* x x) 1/2835)))))))
(/ (* (+ 1/36 (* (* x (* x (* x x))) -1/32400)) x) (- 1/6 (* x (* x (+ -1/180 (* (* x x) 1/2835))))))
(* (+ 1/36 (* (* x (* x (* x x))) -1/32400)) x)
(+ 1/36 (* (* x (* x (* x x))) -1/32400))
(* 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)
(/ x (/ 1 (* x (+ 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))))
(/ 1 (* 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))))
(* (/ 1 (- 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))) x)
(* (* x (- 1/36 (* x (* x (* (+ -1/180 (* (* x x) 1/2835)) (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))))) (* (/ 1 (- 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))) x))
(* x (- 1/36 (* x (* 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)))))))
(log (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))))
(+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))))
(* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))
(* x x)
(* x (+ -1/180 (* (* x x) 1/2835)))
(* (* x x) 1/2835)
(* (* x x) (+ -1/180 (* (* x x) 1/2835)))
(* (+ -1/180 (* (* x x) 1/2835)) (* (* x x) (+ -1/180 (* (* x x) 1/2835))))
(* (* x x) (+ 1/120 (* (* x x) 1/5040)))
(* (* x x) 1/5040)

Outputs
(/.f64 x (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 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 x x) #s(literal -1/32400 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/32400 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/32400 binary64))))))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (neg.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 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 x x) #s(literal -1/32400 binary64))))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/32400 binary64))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 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 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/32400 binary64)))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))))))
(/.f64 (.f64 x (.f64 x (neg.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/32400 binary64))))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))))))
(/.f64 (.f64 (.f64 x (neg.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/32400 binary64)))))) x) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 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 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/32400 binary64))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))))))
(/.f64 (neg.f64 (.f64 x (.f64 x (neg.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/32400 binary64)))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))))))
(/.f64 (neg.f64 (.f64 (.f64 x (neg.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/32400 binary64)))))) x)) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))))))
(pow.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/32400 binary64)))))) #s(literal -1 binary64))
(.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/32400 binary64))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))))))
(.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/32400 binary64)))) (.f64 (/.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))))) x))
(.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/32400 binary64))))) (/.f64 x (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/32400 binary64))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))))) x)
(.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/32400 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))))
(.f64 (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/32400 binary64))))) (-.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 x (.f64 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 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))))))
(.f64 (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/32400 binary64))))) (-.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))))))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))))
(exp.f64 (.f64 (log.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 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 x x) #s(literal -1/32400 binary64))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 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 x x) #s(literal -1/32400 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))))
(neg.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/32400 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))))
(neg.f64 (/.f64 (.f64 x (neg.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/32400 binary64)))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 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 x x) #s(literal -1/32400 binary64))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 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 1/6 binary64) (.f64 x (.f64 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 x x) #s(literal -1/32400 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 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 x x) #s(literal -1/32400 binary64)))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 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 x x) #s(literal -1/32400 binary64)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 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 x x) #s(literal -1/32400 binary64))))))))
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(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)))) (.f64 x x))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/5040 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/5040 binary64))) #s(literal 1/120 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64))) (.f64 x x))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))
(.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64))))) x)
(.f64 x (.f64 x #s(literal 1/5040 binary64)))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(.f64 #s(literal 1/5040 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/5040 binary64)) x)

simplify382.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

4776×	`-lowering-.f32`
4776×	`-lowering-.f64`
3660×	`+-lowering-+.f64`
3660×	`+-lowering-+.f32`
1416×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	333	3190
1	965	2749
2	2928	2702
3	7794	2702
0	8474	2702

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) (- (* (pow x 2) (+ 1/2835 (* -1/42525 (pow x 2)))) 1/180))))
(* 7/80 (pow x 2))
(* (pow x 2) (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 7/80 (* 441/320 (/ 1 (pow x 2)))) (/ 20097/1280 (pow x 4))))
(* (pow x 2) (- (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6))))) (/ 20097/1280 (pow x 4))))
(* 7/80 (pow x 2))
(* (pow x 2) (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 7/80 (* 441/320 (/ 1 (pow x 2)))) (/ 20097/1280 (pow x 4))))
(* (pow x 2) (- (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6))))) (/ 20097/1280 (pow x 4))))
(* 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 (* -1/42525 (pow x 2)))) 1/180))))
(* 7/80 x)
(* x (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))
(* x (- (+ 7/80 (* 441/320 (/ 1 (pow x 2)))) (/ 20097/1280 (pow x 4))))
(* x (- (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6))))) (/ 20097/1280 (pow x 4))))
(* 7/80 x)
(* x (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))
(* -1 (* x (- (/ 20097/1280 (pow x 4)) (+ 7/80 (* 441/320 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 20097/1280 (pow x 4)) (+ 7/80 (+ (* 441/320 (/ 1 (pow x 2))) (* 2067849/5120 (/ 1 (pow x 6))))))))
(* 1/36 x)
(* x (+ 1/36 (* -1/32400 (pow x 4))))
(* x (+ 1/36 (* -1/32400 (pow x 4))))
(* x (+ 1/36 (* -1/32400 (pow x 4))))
(* -1/32400 (pow x 5))
(* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* -1/32400 (pow x 5))
(* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- 1/32400 (* 1/36 (/ 1 (pow x 4))))))
1/36
(+ 1/36 (* -1/32400 (pow x 4)))
(+ 1/36 (* -1/32400 (pow x 4)))
(+ 1/36 (* -1/32400 (pow x 4)))
(* -1/32400 (pow x 4))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* -1/32400 (pow x 4))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* (pow x 4) (- (* 1/36 (/ 1 (pow x 4))) 1/32400))
(* 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 (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)))
(* 1/6 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)))))
(* 6 x)
(* x (+ 6 (* -1/5 (pow x 2))))
(* x (+ 6 (* (pow x 2) (- (* 61/3150 (pow x 2)) 1/5))))
(* x (+ 6 (* (pow x 2) (- (* (pow x 2) (+ 61/3150 (* -101/94500 (pow x 2)))) 1/5))))
(/ -2835 (pow x 3))
(* -1 (/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 3)))
(/ (- (* -1 (/ (+ 178605/4 (* 32684715/16 (/ 1 (pow x 2)))) (pow x 2))) 2835) (pow x 3))
(/ (- (* -1 (/ (+ 32684715/16 (* 3409390845/64 (/ 1 (pow x 2)))) (pow x 4))) (+ 2835 (* 178605/4 (/ 1 (pow x 2))))) (pow x 3))
(/ -2835 (pow x 3))
(* -1 (/ (+ 2835 (* 178605/4 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 2835 (+ (* 178605/4 (/ 1 (pow x 2))) (/ 32684715/16 (pow x 4)))) (pow x 3)))
(* -1 (/ (+ 2835 (+ (* 178605/4 (/ 1 (pow x 2))) (+ (* 3409390845/64 (/ 1 (pow x 6))) (/ 32684715/16 (pow x 4))))) (pow x 3)))
(* 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)))))
(* 1/36 x)
(* x (+ 1/36 (* -1/32400 (pow x 4))))
(* x (+ 1/36 (* (pow x 4) (- (* 1/255150 (pow x 2)) 1/32400))))
(* x (+ 1/36 (* (pow x 4) (- (* (pow x 2) (+ 1/255150 (* -1/8037225 (pow x 2)))) 1/32400))))
(* -1/8037225 (pow x 9))
(* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) 1/8037225))
(* (pow x 9) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))
(* (pow x 9) (- (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))
(* -1/8037225 (pow x 9))
(* -1 (* (pow x 9) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2))))))
(* -1 (* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2))))))
(* -1 (* (pow x 9) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))))))
1/36
(+ 1/36 (* -1/32400 (pow x 4)))
(+ 1/36 (* (pow x 4) (- (* 1/255150 (pow x 2)) 1/32400)))
(+ 1/36 (* (pow x 4) (- (* (pow x 2) (+ 1/255150 (* -1/8037225 (pow x 2)))) 1/32400)))
(* -1/8037225 (pow x 8))
(* (pow x 8) (- (* 1/255150 (/ 1 (pow x 2))) 1/8037225))
(* (pow x 8) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))
(* -1/8037225 (pow x 8))
(* (pow x 8) (- (* 1/255150 (/ 1 (pow x 2))) 1/8037225))
(* (pow x 8) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/255150 (/ 1 (pow x 2))) (* 1/36 (/ 1 (pow x 8)))) (+ 1/8037225 (/ 1/32400 (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) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180))))
(+ (log 1/5040) (* -6 (log (/ 1 x))))
(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2)))))
(- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))
(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))
(+ (log 1/5040) (* -6 (log (/ -1 x))))
(+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2)))))
(- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))
(+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(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)
(* -1/180 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))
(* (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)))))
(* 1/32400 (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)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (pow x 2))
(* 1/5040 (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))))
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(+.f64 (.f64 #s(literal -6 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 1/5040 binary64)) (/.f64 #s(literal 42 binary64) (.f64 x x))))
(- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))
(+.f64 (.f64 #s(literal -6 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 1/5040 binary64)) (+.f64 (/.f64 #s(literal 42 binary64) (.f64 x x)) (/.f64 #s(literal -42 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))
(+.f64 (.f64 #s(literal -6 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 1/5040 binary64)) (+.f64 (/.f64 #s(literal 42 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal -42 binary64) (/.f64 #s(literal -5544 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x 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 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 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 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))
(* 1/5040 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5040 binary64))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(* 1/5040 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5040 binary64))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 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 (* 1/120 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
(* 1/5040 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5040 binary64))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(* 1/5040 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5040 binary64))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1/180 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 x (*.f64 x #s(literal 1/2835 binary64)))))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64)))))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64)))))
(* 1/2835 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/2835 binary64))))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))))))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))))))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))))))
(* 1/2835 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 1/2835 binary64))))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))))))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))))))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(.f64 x (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x 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)))
(* -1/180 (pow x 2))
(.f64 x (.f64 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 (.f64 x x) (.f64 x (.f64 x #s(literal 1/2835 binary64))))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* 1/2835 (pow x 4))
(.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/2835 binary64))))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))))
(* 1/32400 (pow x 2))
(.f64 x (.f64 x #s(literal 1/32400 binary64)))
(* (pow x 2) (+ 1/32400 (* -1/255150 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x x) #s(literal -1/255150 binary64))))
(* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/32400 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/255150 binary64) (.f64 (.f64 x x) #s(literal 1/8037225 binary64)))))))
(* (pow x 2) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/32400 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/255150 binary64) (.f64 (.f64 x x) #s(literal 1/8037225 binary64)))))))
(* 1/8037225 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8037225 binary64))
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/8037225 binary64) (+.f64 (/.f64 #s(literal 1/32400 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x)))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/8037225 binary64) (+.f64 (/.f64 #s(literal 1/32400 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x)))))
(* 1/8037225 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8037225 binary64))
(* (pow x 6) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/8037225 binary64) (/.f64 #s(literal 1/255150 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/8037225 binary64) (+.f64 (/.f64 #s(literal 1/32400 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x)))))
(* (pow x 6) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/8037225 binary64) (+.f64 (/.f64 #s(literal 1/32400 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/255150 binary64) (*.f64 x x)))))
(* 1/120 (pow x 2))
(.f64 x (.f64 x #s(literal 1/120 binary64)))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(* 1/5040 (pow x 4))
(.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))) x)
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* 1/5040 (pow x 4))
(.f64 (.f64 #s(literal 1/5040 binary64) (.f64 x (.f64 x x))) x)
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x))))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))
(* 1/5040 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/5040 binary64))

eval236.0ms (1.4%)

Compiler: Compiled 52428 to 3885 computations (92.6% saved)

prune144.0ms (0.9%)

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	1399	10	1409
Fresh	7	5	12
Picked	4	1	5
Done	0	5	5
Total	1410	21	1431

Accuracy

98.0%

Counts

1431 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.4%	(/.f64 x (/.f64 (+.f64 #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal 1/5 binary64))) x))
	96.9%	(/.f64 x (/.f64 #s(literal 6 binary64) x))
	97.2%	(.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))
	24.3%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
✓	96.8%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	97.3%	(.f64 x (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/34012224000000 binary64))) x) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/32400 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/32400 binary64))) #s(literal 1/36 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))))))))
	97.4%	(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 #s(literal 1/1049760000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) x) (.f64 (+.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 (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))))
✓	97.4%	(.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/32400 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))))))))
	96.8%	(.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/32400 binary64))) x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2835 binary64))))))))
	97.4%	(.f64 x (/.f64 (.f64 (.f64 (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/34012224000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/32400 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/32400 binary64))) #s(literal 1/36 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))))))))
✓	97.3%	(.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)))))))
	97.2%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/6480 binary64)))))))))
	56.4%	(.f64 x (.f64 x #s(literal 7/80 binary64)))
✓	96.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
	97.3%	(log1p.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))))))))
✓	97.3%	(log1p.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
	50.3%	(log1p.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64))))))
	96.8%	(log1p.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))))
	4.5%	(log.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64)))))))) x))
✓	50.7%	(log.f64 (/.f64 (sinh.f64 x) x))
	43.7%	(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sinh.f64 x)))

Compiler

Compiled 1896 to 545 computations (71.3% saved)

regimes40.0ms (0.2%)

Counts

50 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal 7/80 binary64)))
(.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 x (.f64 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 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/6480 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 (.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 1/6480 binary64)))))))
(.f64 x (+.f64 (.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))))
(.f64 x (/.f64 (.f64 x #s(literal 1/36 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 x (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64))))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (.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 (.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 x (/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/32400 binary64))) x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2835 binary64))))))))
(.f64 x (.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x x))))))
(.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/32400 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 (-.f64 #s(literal 1/36 binary64) (.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))))))) 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 (-.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 x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))) (/.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 (-.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 x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))) (.f64 (/.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))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.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 1/6 binary64) (.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 1/36 binary64) (.f64 x (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))) (.f64 (/.f64 #s(literal 1 binary64) (-.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))
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 (.f64 x 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 x) (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))))))
(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 #s(literal 1/1049760000 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) x) (.f64 (+.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 (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 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 (.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)))))))) 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 x (/.f64 (/.f64 (.f64 (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/34012224000000 binary64))) x) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/32400 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/32400 binary64))) #s(literal 1/36 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 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 (.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 (.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 (.f64 (.f64 (+.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1/34012224000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/32400 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -1/32400 binary64))) #s(literal 1/36 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))))))))
(log1p.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))))
(.f64 x (/.f64 (+.f64 (.f64 #s(literal 1/216 binary64) (.f64 x (.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 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 x (.f64 x x)))) (+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x (.f64 x x)))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x (.f64 x x))))))))
(log.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)))
(log.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/120 binary64)))
(log1p.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/120 binary64))))))
(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))))))
(log1p.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 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 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(log.f64 (/.f64 (.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)))))))) x))
(log.f64 (/.f64 (.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 x (*.f64 x #s(literal 1/5040 binary64)))))))) x) x))
(log.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/120 binary64)))))))) x))
(log.f64 (/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 x (.f64 x #s(literal 1/6 binary64)))) (.f64 (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 (.f64 x (.f64 x #s(literal 1/6 binary64))) (.f64 (+.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x #s(literal 1/5040 binary64)))) (.f64 (.f64 x x) (*.f64 x x))))))) x))
(log.f64 (/.f64 (sinh.f64 x) x))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (sinh.f64 x)))
(-.f64 (log.f64 #s(literal 1/5040 binary64)) (*.f64 #s(literal -6 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal 1/5040 binary64)) (+.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (/.f64 #s(literal 42 binary64) (.f64 x x))))
(log.f64 (/.f64 (.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 (exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/5040 binary64)))))))) x))
(/.f64 (-.f64 (pow.f64 (log.f64 (.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 x (.f64 x #s(literal 1/5040 binary64)))))))))) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (.f64 (.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 x (*.f64 x #s(literal 1/5040 binary64))))))))) x)))

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

Calls

3 calls:

14.0ms	x
12.0ms	(log.f64 (/.f64 (sinh.f64 x) x))
11.0ms	(/.f64 (sinh.f64 x) x)

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes4.0ms (0%)

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal 7/80 binary64)))
(.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 x (.f64 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:

3.0ms

Results

Accuracy	Segments	Branch
97.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal 7/80 binary64)))
(.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:

2.0ms

Results

Accuracy	Segments	Branch
96.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal 7/80 binary64)))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
96.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -25.8b remaining (-1231.5%)

Threshold costs -25.8b (-1231.5%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal 7/80 binary64)))

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
96.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
4×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	37
1	28	37

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.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 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 (8.1%)

Rules

5244×	`-lowering-.f32`
5244×	`-lowering-.f64`
4776×	`-lowering-.f32`
4776×	`-lowering-.f64`
3660×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	314
1	331	206
2	3000	204
0	9334	204
0	38	260
1	271	224
2	2581	221
0	8195	221
0	333	3190
1	965	2749
2	2928	2702
3	7794	2702
0	8474	2702
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 126 to 77 computations (38.9% saved)

preprocess50.0ms (0.3%)

Remove: (abs x)
Compiler: Compiled 222 to 128 computations (42.3% saved)

analyze148.0ms (0.9%)

sample5.0s (30.3%)

preprocess262.0ms (1.6%)

explain231.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify199.0ms (1.2%)

localize113.0ms (0.7%)

series78.0ms (0.5%)

rewrite295.0ms (1.8%)

simplify178.0ms (1.1%)

eval73.0ms (0.4%)

prune55.0ms (0.3%)

simplify259.0ms (1.6%)

localize691.0ms (4.2%)

series16.0ms (0.1%)

rewrite310.0ms (1.9%)

simplify280.0ms (1.7%)

eval122.0ms (0.7%)

prune146.0ms (0.9%)

simplify193.0ms (1.2%)

localize906.0ms (5.5%)

series25.0ms (0.2%)

rewrite413.0ms (2.5%)

simplify355.0ms (2.1%)

eval175.0ms (1.1%)

prune229.0ms (1.4%)

simplify210.0ms (1.3%)

localize1.1s (6.4%)

series14.0ms (0.1%)

rewrite2.3s (13.9%)

simplify382.0ms (2.3%)

eval236.0ms (1.4%)

prune144.0ms (0.9%)

regimes40.0ms (0.2%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify7.0ms (0%)

soundness1.4s (8.1%)

preprocess50.0ms (0.3%)

end0.0ms (0%)

Profiling