Metrics for bug500, discussion (missed optimization)

analyze128.0ms (0.7%)

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: 47.0ms

ival-log: 19.0ms (40.4% of total)

ival-div: 14.0ms (29.8% of total)

ival-sinh: 11.0ms (23.4% of total)

const: 1.0ms (2.1% of total)

backward-pass: 1.0ms (2.1% of total)

sample4.7s (26.6%)

Results

2.1s	5931×	2	valid
1.5s	7941×	5	exit
354.0ms	2026×	1	valid
17.0ms	299×	0	valid

Precisions

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

ival-log: 1.5s (52.7% of total)

ival-sinh: 476.0ms (16.4% of total)

backward-pass: 471.0ms (16.2% of total)

ival-div: 414.0ms (14.2% of total)

const: 17.0ms (0.6% of total)

Bogosity

preprocess291.0ms (1.7%)

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)

explain179.0ms (1%)

FPErrors

Click to see full error table

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

Results

135.0ms	386×	2	valid
17.0ms	108×	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: 114.0ms

ival-log: 72.0ms (63.2% of total)

ival-div: 16.0ms (14% of total)

ival-sinh: 15.0ms (13.2% of total)

backward-pass: 10.0ms (8.8% of total)

const: 1.0ms (0.9% 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
▶	59.6%	(log.f64 (/.f64 (sinh.f64 x) x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify200.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize125.0ms (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	59.6%	(log.f64 (/.f64 (sinh.f64 x) x))

Results

107.0ms	193×	2	valid
8.0ms	54×	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: 95.0ms

ival-log: 74.0ms (77.9% of total)

ival-div: 8.0ms (8.4% of total)

ival-sinh: 8.0ms (8.4% of total)

backward-pass: 5.0ms (5.3% of total)

const: 0.0ms (0% of total)

series65.0ms (0.4%)

Counts

3 → 36

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
36.0ms	x	@	inf	(log (/ (sinh x) x))
26.0ms	x	@	-inf	(log (/ (sinh x) x))
2.0ms	x	@	0	(log (/ (sinh x) x))
0.0ms	x	@	0	(/ (sinh x) x)
0.0ms	x	@	0	(sinh x)

rewrite274.0ms (1.6%)

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	952	11
0	8601	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 #s(literal 0 binary64) (/.f64 x (sinh.f64 x))))))
(+.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 (sinh.f64 x) x))))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 (sinh.f64 x) x)))))))
(+.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x)))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))))
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))))
(+.f64 (neg.f64 (log.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (sinh.f64 x)))) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (/.f64 x #s(literal 2 binary64)) (sinh.f64 x)))) (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 #s(literal 0 binary64) (/.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 (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 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 (sinh.f64 x) x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 (sinh.f64 x) x))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))))
(-.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal -2 binary64)) x)) (log.f64 #s(literal -2 binary64)))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) (log.f64 (-.f64 #s(literal 0 binary64) x)))))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) (log.f64 (-.f64 #s(literal 0 binary64) x)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (log.f64 (.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) (-.f64 #s(literal 0 binary64) x)))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (log.f64 (.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) (-.f64 #s(literal 0 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (log.f64 (/.f64 x (sinh.f64 x)))))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 (sinh.f64 x)))
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
(neg.f64 (*.f64 (log.f64 (/.f64 (sinh.f64 x) x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (sinh.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 x))))) (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) (log.f64 (-.f64 #s(literal 0 binary64) x))))) (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) (-.f64 #s(literal 0 binary64) x))) (.f64 (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) (-.f64 #s(literal 0 binary64) x))) (log.f64 (/.f64 (sinh.f64 x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x (sinh.f64 x))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x (sinh.f64 x))) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 (sinh.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (sinh.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 (sinh.f64 x) x)))))))
(/.f64 (.f64 (log.f64 (/.f64 (sinh.f64 x) x)) (log.f64 (.f64 (sinh.f64 x) x))) (log.f64 (*.f64 (sinh.f64 x) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 (sinh.f64 x) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (sinh.f64 x)) (-.f64 #s(literal 0 binary64) (log.f64 x)))))))
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(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 x) #s(literal -2 binary64))) #s(literal -1 binary64)) #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)))))))

simplify166.0ms (0.9%)

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	372
2	470	366
3	1529	366
4	3317	366
5	5861	366
6	7334	366
0	8089	366

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 x (.f64 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 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) x))
(* 1/2 (/ (- (exp x) (/ 1 (exp x))) x))
(*.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 #s(literal 1/2 binary64) 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)))

eval67.0ms (0.4%)

Compiler: Compiled 8533 to 1488 computations (82.6% saved)

prune57.0ms (0.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	403	11	414
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	403	12	415

Accuracy

97.8%

Counts

415 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.9%	(/.f64 (-.f64 (pow.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))))) #s(literal 3 binary64)) (pow.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))))) #s(literal 3 binary64))) (+.f64 (.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 (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 (.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 (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)) (+.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)))))))))
	59.5%	(+.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))))
▶	97.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
▶	96.9%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))
	96.7%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
▶	96.3%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
	59.6%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
	59.2%	(log.f64 (/.f64 (.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))
✓	59.6%	(log.f64 (/.f64 (sinh.f64 x) x))
	59.1%	(log.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)))
▶	59.4%	(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))))))))
▶	59.2%	(log.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))

Compiler

Compiled 636 to 236 computations (62.9% saved)

simplify128.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 18 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 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 (+.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 (.f64 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

3204×	`fma-define`
2824×	`fma-lowering-fma.f32`
2824×	`fma-lowering-fma.f64`
824×	`-lowering-.f32`
824×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	371
1	129	331
2	477	331
3	1247	331
4	2416	331
5	3229	331
6	3477	331
7	3502	331
8	3502	331
9	4397	331
10	4397	331
0	4397	331

Stop Event

1×	iter limit
1×	saturated

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

localize579.0ms (3.3%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
✓	accuracy	99.8%	(.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	61.8%	(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	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	61.8%	(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	99.4%	(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))))
✓	accuracy	99.4%	(.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	accuracy	99.8%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/2835 binary64))
✓	accuracy	99.4%	(.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

410.0ms	193×	2	valid
77.0ms	54×	1	valid
7.0ms	9×	0	valid

Compiler

Compiled 377 to 38 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 331.0ms

ival-mult: 89.0ms (26.9% of total)

...c/correct-round.rkt:119:19: 84.0ms (25.3% of total)

ival-log: 81.0ms (24.4% of total)

ival-add: 40.0ms (12.1% of total)

backward-pass: 38.0ms (11.5% of total)

const: 1.0ms (0.3% of total)

series18.0ms (0.1%)

Counts

23 → 276

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

Calls

69 calls:

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

rewrite419.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3406×	`fma-lowering-fma.f32`
3406×	`fma-lowering-fma.f64`
2868×	`-lowering-.f32`
2868×	`-lowering-.f64`
1924×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	281
1	250	249
2	2414	249
0	8412	249

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 523

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)))))))))
(* x (+ 1/6 (* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))))
(+ 1/6 (* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))
(* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))
(log (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120)))))
(+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120))))
(* (* x x) (+ 1/6 (* (* x x) 1/120)))
(log (+ 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) 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) 1/5040)
(* (* x x) (+ 1/120 (* (* x x) 1/5040)))

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

simplify350.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2792×	`-lowering-.f32`
2792×	`-lowering-.f64`
2726×	`+-lowering-+.f64`
2726×	`+-lowering-+.f32`
1990×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	211	2708
1	626	2603
2	1921	2555
3	5979	2551
0	8078	2551

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) (- (* 1/2835 (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 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 (* -1/37800 (pow x 2)))) 1/180))))
(* -1/37800 (pow x 7))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 7) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 7))
(* -1 (* (pow x 7) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
1/6
(+ 1/6 (* -1/180 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/180 (pow x 2))
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))
(* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))
(* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 6))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/6480 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/6480 (* 1/259200 (pow x 2)))) 1/180))))
(+ (log 1/120) (* -4 (log (/ 1 x))))
(+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2)))))
(- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))
(- (+ (log 1/120) (+ (* -4 (log (/ 1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))
(+ (log 1/120) (* -4 (log (/ -1 x))))
(+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2)))))
(- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (* 20 (/ 1 (pow x 2))))) (/ 80 (pow x 4)))
(- (+ (log 1/120) (+ (* -4 (log (/ -1 x))) (+ (* 20 (/ 1 (pow x 2))) (* 800/3 (/ 1 (pow x 6)))))) (/ 80 (pow x 4)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/120 (+ (* 1/6 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -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))))))
(* 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)))))
(* 1/5040 (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))
(* 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)))))

Outputs
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))))
(* 1/2835 (pow x 6))
(*.f64 #s(literal 1/2835 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/2835 binary64) (/.f64 (/.f64 #s(literal 1/180 binary64) 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 (/.f64 #s(literal 1/180 binary64) 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 (/.f64 #s(literal 1/180 binary64) 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 (/.f64 #s(literal 1/180 binary64) 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 (/.f64 #s(literal 1/180 binary64) 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 (/.f64 #s(literal 1/180 binary64) 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 x (*.f64 x #s(literal 1/2835 binary64)))))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))
(* 1/2835 (pow x 5))
(*.f64 #s(literal 1/2835 binary64) (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 (/.f64 #s(literal 1/180 binary64) 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 (/.f64 #s(literal 1/180 binary64) 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 (/.f64 #s(literal 1/180 binary64) 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 (/.f64 #s(literal 1/180 binary64) 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 (/.f64 #s(literal 1/180 binary64) 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 (/.f64 #s(literal 1/180 binary64) 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 (.f64 x x) #s(literal -1/180 binary64)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))
(* 1/2835 (pow x 4))
(.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 (/.f64 #s(literal 1/180 binary64) 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 (/.f64 #s(literal 1/180 binary64) 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 (/.f64 #s(literal 1/180 binary64) 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 (/.f64 #s(literal 1/180 binary64) 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 (/.f64 #s(literal 1/180 binary64) 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 (/.f64 #s(literal 1/180 binary64) x) x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1/180 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/180 binary64))
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))
(.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))
(.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))
(* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))
(.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))
(* 1/2835 (pow x 4))
(.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 (/.f64 #s(literal 1/180 binary64) 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 (/.f64 #s(literal 1/180 binary64) 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 (/.f64 #s(literal 1/180 binary64) 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 (/.f64 #s(literal 1/180 binary64) 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 (/.f64 #s(literal 1/180 binary64) 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 (/.f64 #s(literal 1/180 binary64) x) x)) (.f64 x (.f64 x (.f64 x x))))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))))
(* -1/37800 (pow x 8))
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (-.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(* -1/37800 (pow x 8))
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (-.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -1/180 binary64))))
(* x (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (*.f64 x #s(literal 1/2835 binary64)))))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))))
(* -1/37800 (pow x 7))
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (-.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x (.f64 x (*.f64 x x))))))) (pow.f64 x #s(literal 7 binary64)))
(* -1/37800 (pow x 7))
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/2835 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))
(.f64 (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (-.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/37800 (/ 1/180 (pow x 4))) (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))))))
(.f64 (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x (.f64 x (*.f64 x x))))))) (pow.f64 x #s(literal 7 binary64)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/180 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))
(+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))
(* -1/37800 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/37800 binary64))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
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(* (pow x 6) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
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(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 x)
(*.f64 x #s(literal 1/2835 binary64))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(* -1/37800 (pow x 3))
(.f64 #s(literal -1/37800 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))) (.f64 x (.f64 x x)))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))) (.f64 x (.f64 x x)))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))) (.f64 x (.f64 x x)))
(* -1/37800 (pow x 3))
(.f64 #s(literal -1/37800 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (.f64 x (-.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/2835 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (.f64 x (-.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/2835 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(.f64 (.f64 x x) (.f64 x (-.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal -1/2835 binary64) (.f64 x x)))))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* -1/37800 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
(+ 1/6 (* 1/120 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
(+ 1/6 (* 1/120 (pow x 2)))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
(* 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))
(* 1/120 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))
(.f64 (.f64 x 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 (.f64 x 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 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 4))
(.f64 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.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))))
(* (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 x (.f64 #s(literal 1/5040 binary64) (.f64 x (.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))))
(* (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))))

eval135.0ms (0.8%)

Compiler: Compiled 28183 to 2518 computations (91.1% saved)

prune142.0ms (0.8%)

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	945	16	961
Fresh	2	4	6
Picked	2	3	5
Done	0	1	1
Total	949	24	973

Accuracy

97.9%

Counts

973 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.1%	(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)))
	5.9%	(/.f64 (-.f64 (pow.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))))) #s(literal 3 binary64)) (pow.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))))) #s(literal 3 binary64))) (+.f64 (.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 (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 (.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 (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)) (+.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)))))))))
	97.1%	(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.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 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
	96.9%	(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 (.f64 (.f64 x x) (.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 #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)))))
▶	97.2%	(-.f64 (log1p.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.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))))))) (.f64 (.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))))))) (.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))))))))))) (log1p.f64 (.f64 (.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))))))) (-.f64 (.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))))))) #s(literal 1 binary64)))))
	59.5%	(+.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))))
	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))))
	96.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))))
▶	96.3%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
▶	30.2%	(.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 (.f64 x x) (.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 x (.f64 x x)))) (+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))))))
▶	97.1%	(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.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)))))) 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))))))))
	97.1%	(.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 (.f64 x x) (.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))))))) 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))))))
	97.0%	(.f64 x (+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (*.f64 x #s(literal 1/6 binary64))))
✓	97.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
✓	96.9%	(.f64 x (.f64 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))))))))))
	21.0%	(.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 (/.f64 #s(literal 1/180 binary64) x) x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
✓	96.3%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
	59.6%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
▶	97.2%	(log1p.f64 (.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))))))))
	97.0%	(log1p.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))
	59.4%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.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))))))) (.f64 (.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))))))) (.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))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.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))))))) (-.f64 (.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))))))) #s(literal 1 binary64))))))
✓	59.6%	(log.f64 (/.f64 (sinh.f64 x) x))
	59.1%	(log.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)))
	1.9%	(log.f64 (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))))

Compiler

Compiled 1796 to 600 computations (66.6% saved)

simplify266.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.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))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.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)))))))
✓	cost-diff	0	(log1p.f64 (.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))))))))
✓	cost-diff	1024	(-.f64 (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))
✓	cost-diff	1408	(+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))))
✓	cost-diff	1792	(/.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 (.f64 x x) (.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 x (.f64 x x)))) (+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))))))
✓	cost-diff	1792	(.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 (.f64 x x) (.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 x (.f64 x x)))) (+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))))))
✓	cost-diff	0	(-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.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))))))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.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)))))) x)
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.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)))))) 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 (.f64 x x) (.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)))))) 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 x (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x x)) (.f64 (.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))))))) (.f64 (.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))))))) (.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))))))))))
✓	cost-diff	0	(log1p.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.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))))))) (.f64 (.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))))))) (.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)))))))))))
✓	cost-diff	0	(-.f64 (log1p.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.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))))))) (.f64 (.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))))))) (.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))))))))))) (log1p.f64 (.f64 (.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))))))) (-.f64 (.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))))))) #s(literal 1 binary64)))))

Rules

5244×	`+-lowering-+.f64`
5244×	`+-lowering-+.f32`
4166×	`-lowering-.f32`
4166×	`-lowering-.f64`
1564×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	1134
1	218	903
2	1058	882
3	5446	874
0	8700	874

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize1.2s (6.6%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal 1/5040 binary64))
✓	accuracy	100.0%	(.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)))))))
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
✓	accuracy	99.9%	(.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64)))
✓	accuracy	99.7%	(.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))
✓	accuracy	99.6%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	43.0%	(/.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 (.f64 x x) (.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 x (.f64 x x)))) (+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))))))
✓	accuracy	99.9%	(.f64 (.f64 x x) #s(literal 1/2835 binary64))
✓	accuracy	99.7%	(.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))
✓	accuracy	99.6%	(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.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)))))) 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	99.6%	(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.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)))))) x)
✓	accuracy	100.0%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	accuracy	99.6%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	99.9%	(.f64 (.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))))))) (.f64 (.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))))))) (.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)))))))))
✓	accuracy	99.9%	(.f64 (.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))))))) (.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))))))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))
✓	accuracy	99.6%	(.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)))))))

Results

505.0ms	149×	2	valid
401.0ms	86×	5	exit
29.0ms	13×	1	valid
5.0ms	8×	0	valid

Compiler

Compiled 1390 to 54 computations (96.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 897.0ms

ival-mult: 228.0ms (25.4% of total)

compiled-spec: 215.0ms (24% of total)

ival-log: 170.0ms (19% of total)

backward-pass: 105.0ms (11.7% of total)

...c/correct-round.rkt:119:19: 83.0ms (9.3% of total)

ival-sub: 44.0ms (4.9% of total)

ival-add: 38.0ms (4.2% of total)

ival-div: 10.0ms (1.1% of total)

const: 2.0ms (0.2% of total)

series23.0ms (0.1%)

Counts

27 → 324

Calls

Call 1

Inputs
#<alt (- (log (+ 1 (* (* x (* x x)) (* (* x (+ 1/6 (* x (* x (+ 1/120 (* (* x x) 1/5040)))))) (* (* x (+ 1/6 (* x (* x (+ 1/120 (* (* x x) 1/5040)))))) (* x (+ 1/6 (* x (* x (+ 1/120 (* (* x x) 1/5040))))))))))) (log (+ 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)))))>
#<alt (log (+ 1 (* (* x (* x x)) (* (* x (+ 1/6 (* x (* x (+ 1/120 (* (* x x) 1/5040)))))) (* (* x (+ 1/6 (* x (* x (+ 1/120 (* (* x x) 1/5040)))))) (* x (+ 1/6 (* x (* x (+ 1/120 (* (* x x) 1/5040)))))))))))>
#<alt (* (* x (* x x)) (* (* x (+ 1/6 (* x (* x (+ 1/120 (* (* x x) 1/5040)))))) (* (* x (+ 1/6 (* x (* x (+ 1/120 (* (* x x) 1/5040)))))) (* x (+ 1/6 (* x (* x (+ 1/120 (* (* x x) 1/5040)))))))))>
#<alt (* x (* x x))>
#<alt (* (* x 1/6) x)>
#<alt (* x 1/6)>
#<alt (* x (/ (* (- 1/36 (* (* (* x x) (* x x)) (* (+ -1/180 (* (* x x) 1/2835)) (+ -1/180 (* (* x x) 1/2835))))) x) (- 1/6 (* x (* x (+ -1/180 (* (* x x) 1/2835)))))))>
#<alt (/ (* (- 1/36 (* (* (* x x) (* x x)) (* (+ -1/180 (* (* x x) 1/2835)) (+ -1/180 (* (* x x) 1/2835))))) x) (- 1/6 (* x (* x (+ -1/180 (* (* x x) 1/2835))))))>
#<alt (* (- 1/36 (* (* (* x x) (* x x)) (* (+ -1/180 (* (* x x) 1/2835)) (+ -1/180 (* (* x x) 1/2835))))) x)>
#<alt (- 1/36 (* (* (* x x) (* x x)) (* (+ -1/180 (* (* x x) 1/2835)) (+ -1/180 (* (* x x) 1/2835)))))>
#<alt (* x (/ (+ (* 1/216 (* x (* x x))) (* (* (* x (* x (+ -1/180 (* (* x x) 1/2835)))) (* (* (* x x) (* x x)) (* (+ -1/180 (* (* x x) 1/2835)) (+ -1/180 (* (* x x) 1/2835))))) (* x (* x x)))) (+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* x (* x (+ -1/180 (* (* x x) 1/2835))))) (* x (* x (* x (+ -1/180 (* (* x x) 1/2835)))))) (* (* x 1/6) (* x (* x (* x (+ -1/180 (* (* x x) 1/2835))))))))))>
#<alt (/ (+ (* 1/216 (* x (* x x))) (* (* (* x (* x (+ -1/180 (* (* x x) 1/2835)))) (* (* (* x x) (* x x)) (* (+ -1/180 (* (* x x) 1/2835)) (+ -1/180 (* (* x x) 1/2835))))) (* x (* x x)))) (+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* x (* x (+ -1/180 (* (* x x) 1/2835))))) (* x (* x (* x (+ -1/180 (* (* x x) 1/2835)))))) (* (* x 1/6) (* x (* x (* x (+ -1/180 (* (* x x) 1/2835)))))))))>
#<alt (+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* x (* x (+ -1/180 (* (* x x) 1/2835))))) (* x (* x (* x (+ -1/180 (* (* x x) 1/2835)))))) (* (* x 1/6) (* x (* x (* x (+ -1/180 (* (* x x) 1/2835))))))))>
#<alt (- (* (* x (* x (* x (+ -1/180 (* (* x x) 1/2835))))) (* x (* x (* x (+ -1/180 (* (* x x) 1/2835)))))) (* (* x 1/6) (* x (* x (* x (+ -1/180 (* (* x x) 1/2835)))))))>
#<alt (log (+ 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 (+ 1/6 (* x (* x (+ 1/120 (* (* x x) 1/5040)))))>
#<alt (* x (+ 1/6 (* x (* x (+ 1/120 (* (* x x) 1/5040))))))>
#<alt (* x (+ 1/120 (* (* x x) 1/5040)))>
#<alt (* (* x (+ 1/6 (* x (* x (+ 1/120 (* (* x x) 1/5040)))))) (* x (+ 1/6 (* x (* x (+ 1/120 (* (* x x) 1/5040)))))))>
#<alt (* (* x (+ 1/6 (* x (* x (+ 1/120 (* (* x x) 1/5040)))))) (* (* x (+ 1/6 (* x (* x (+ 1/120 (* (* x x) 1/5040)))))) (* x (+ 1/6 (* x (* x (+ 1/120 (* (* x x) 1/5040))))))))>
#<alt (* x (+ -1/180 (* (* x x) 1/2835)))>
#<alt (* (* x x) 1/2835)>
#<alt (* (* x 1/6) (* x 1/6))>
#<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 (* -53/1814400 (pow x 2)))) 1/180))))>
#<alt (- (+ (log 1/128024064000) (* -18 (log (/ 1 x)))) (+ (log 1/25401600) (* -12 (log (/ 1 x)))))>
#<alt (- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (* -12 (log (/ 1 x)))))>
#<alt (- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (+ (* -12 (log (/ 1 x))) (/ 42 (pow x 4)))))>
#<alt (- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2)))))) (+ (log 1/25401600) (* -12 (log (/ 1 x)))))>
#<alt (- (+ (log 1/128024064000) (* -18 (log (/ -1 x)))) (+ (log 1/25401600) (* -12 (log (/ -1 x)))))>
#<alt (- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (* -12 (log (/ -1 x)))))>
#<alt (- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (+ (* -12 (log (/ -1 x))) (/ 42 (pow x 4)))))>
#<alt (- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2)))))) (+ (log 1/25401600) (* -12 (log (/ -1 x)))))>
#<alt 0>
#<alt (* 1/216 (pow x 6))>
#<alt (* (pow x 6) (+ 1/216 (* 1/1440 (pow x 2))))>
#<alt (* (pow x 6) (+ 1/216 (* (pow x 2) (+ 1/1440 (* 31/604800 (pow x 2))))))>
#<alt (+ (log 1/128024064000) (* -18 (log (/ 1 x))))>
#<alt (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 126 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 126 (/ 1 (pow x 2))))) (/ 126 (pow x 4)))>
#<alt (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (+ (* -1 (/ (+ 126 (* 31752 (/ 1 (pow x 2)))) (pow x 4))) (* 126 (/ 1 (pow x 2))))))>
#<alt (+ (log 1/128024064000) (* -18 (log (/ -1 x))))>
#<alt (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 126 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 126 (/ 1 (pow x 2))))) (/ 126 (pow x 4)))>
#<alt (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (+ (* -1 (/ (+ 126 (* 31752 (/ 1 (pow x 2)))) (pow x 4))) (* 126 (/ 1 (pow x 2))))))>
#<alt (* 1/216 (pow x 6))>
#<alt (* (pow x 6) (+ 1/216 (* 1/1440 (pow x 2))))>
#<alt (* (pow x 6) (+ 1/216 (* (pow x 2) (+ 1/1440 (* 31/604800 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/216 (* (pow x 2) (+ 1/1440 (* (pow x 2) (+ 31/604800 (* 1/448000 (pow x 2))))))))>
#<alt (* 1/128024064000 (pow x 18))>
#<alt (* (pow x 18) (+ 1/128024064000 (* 1/1016064000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (* 1/1016064000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (+ (* 1/1016064000 (/ 1 (pow x 2))) (* 1/448000 (/ 1 (pow x 6)))))))>
#<alt (* 1/128024064000 (pow x 18))>
#<alt (* (pow x 18) (+ 1/128024064000 (* 1/1016064000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (* 1/1016064000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (+ (* 1/1016064000 (/ 1 (pow x 2))) (* 1/448000 (/ 1 (pow x 6)))))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (* 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 (* -1/180 (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 (pow x 2))>
#<alt (* (pow x 2) (+ 1/36 (* 1/1080 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/36 (* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/36 (* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400))))))>
#<alt (* 1/8037225 (pow x 10))>
#<alt (* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 10) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))>
#<alt (* 1/8037225 (pow x 10))>
#<alt (* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 10) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))>
#<alt (* 1/1080 (pow x 4))>
#<alt (* (pow x 4) (+ 1/1080 (* -19/680400 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400))))>
#<alt (* (pow x 4) (+ 1/1080 (* (pow x 2) (- (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)) 19/680400))))>
#<alt (* 1/8037225 (pow x 10))>
#<alt (* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 10) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))>
#<alt (* 1/8037225 (pow x 10))>
#<alt (* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 10) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -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 (* 1/6 (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 1/6>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))>
#<alt (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* 1/5040 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))>
#<alt (* 1/120 x)>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* x (+ 1/120 (* 1/5040 (pow x 2))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/5040 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* 1/36 (pow x 2))>
#<alt (* (pow x 2) (+ 1/36 (* 1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/36 (* (pow x 2) (+ 1/360 (* 41/302400 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/36 (* (pow x 2) (+ 1/360 (* (pow x 2) (+ 41/302400 (* 1/302400 (pow x 2))))))))>
#<alt (* 1/25401600 (pow x 10))>
#<alt (* (pow x 10) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/360 (/ 1 (pow x 6)))))))>
#<alt (* 1/25401600 (pow x 10))>
#<alt (* (pow x 10) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2))))))>
#<alt (* (pow x 10) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/360 (/ 1 (pow x 6)))))))>
#<alt (* 1/216 (pow x 3))>
#<alt (* (pow x 3) (+ 1/216 (* 1/1440 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/216 (* (pow x 2) (+ 1/1440 (* 31/604800 (pow x 2))))))>
#<alt (* (pow x 3) (+ 1/216 (* (pow x 2) (+ 1/1440 (* (pow x 2) (+ 31/604800 (* 1/448000 (pow x 2))))))))>
#<alt (* 1/128024064000 (pow x 15))>
#<alt (* (pow x 15) (+ 1/128024064000 (* 1/1016064000 (/ 1 (pow x 2)))))>
#<alt (* (pow x 15) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (* 1/1016064000 (/ 1 (pow x 2))))))>
#<alt (* (pow x 15) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (+ (* 1/1016064000 (/ 1 (pow x 2))) (* 1/448000 (/ 1 (pow x 6)))))))>
#<alt (* 1/128024064000 (pow x 15))>
#<alt (* (pow x 15) (+ 1/128024064000 (* 1/1016064000 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 15) (- (* -1 (/ (+ 1/1016064000 (* 31/508032000 (/ 1 (pow x 2)))) (pow x 2))) 1/128024064000)))>
#<alt (* -1 (* (pow x 15) (- (* -1 (/ (+ 31/508032000 (* 1/448000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/128024064000 (* 1/1016064000 (/ 1 (pow x 2)))))))>
#<alt (* -1/180 x)>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* 1/2835 (pow x 3))>
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (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

81 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(- (* (* x (* x (* x (+ -1/180 (* (* x x) 1/2835))))) (* x (* x (* x (+ -1/180 (* (* x x) 1/2835)))))) (* (* x 1/6) (* x (* x (* x (+ -1/180 (* (* x x) 1/2835)))))))
1.0ms	x	@	0	(- (log (+ 1 (* (* x (* x x)) (* (* x (+ 1/6 (* x (* x (+ 1/120 (* (* x x) 1/5040)))))) (* (* x (+ 1/6 (* x (* x (+ 1/120 (* (* x x) 1/5040)))))) (* x (+ 1/6 (* x (* x (+ 1/120 (* (* x x) 1/5040))))))))))) (log (+ 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)))))
1.0ms	x	@	inf	(- (log (+ 1 (* (* x (* x x)) (* (* x (+ 1/6 (* x (* x (+ 1/120 (* (* x x) 1/5040)))))) (* (* x (+ 1/6 (* x (* x (+ 1/120 (* (* x x) 1/5040)))))) (* x (+ 1/6 (* x (* x (+ 1/120 (* (* x x) 1/5040))))))))))) (log (+ 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)))))
1.0ms	x	@	inf	(* x (/ (+ (* 1/216 (* x (* x x))) (* (* (* x (* x (+ -1/180 (* (* x x) 1/2835)))) (* (* (* x x) (* x x)) (* (+ -1/180 (* (* x x) 1/2835)) (+ -1/180 (* (* x x) 1/2835))))) (* x (* x x)))) (+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* x (* x (+ -1/180 (* (* x x) 1/2835))))) (* x (* x (* x (+ -1/180 (* (* x x) 1/2835)))))) (* (* x 1/6) (* x (* x (* x (+ -1/180 (* (* x x) 1/2835))))))))))
1.0ms	x	@	0	(* x (/ (+ (* 1/216 (* x (* x x))) (* (* (* x (* x (+ -1/180 (* (* x x) 1/2835)))) (* (* (* x x) (* x x)) (* (+ -1/180 (* (* x x) 1/2835)) (+ -1/180 (* (* x x) 1/2835))))) (* x (* x x)))) (+ (* (* x 1/6) (* x 1/6)) (- (* (* x (* x (* x (+ -1/180 (* (* x x) 1/2835))))) (* x (* x (* x (+ -1/180 (* (* x x) 1/2835)))))) (* (* x 1/6) (* x (* x (* x (+ -1/180 (* (* x x) 1/2835))))))))))

rewrite452.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4406×	`-lowering-.f32`
4406×	`-lowering-.f64`
1558×	`fma-lowering-fma.f32`
1558×	`fma-lowering-fma.f64`
1498×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	616
1	400	404
2	3975	397
0	8978	397

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 513

Calls

Call 1

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

Outputs
(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))))))))
(log.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.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)))))) (+.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)))))) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (+.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 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 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))))))
(+.f64 (log1p.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (+.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 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 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) (log1p.f64 (.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)))))) (+.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)))))) #s(literal -1 binary64))))))
(+.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))))))) #s(literal 0 binary64))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (.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)))))) (+.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)))))) #s(literal -1 binary64))))) (log1p.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (+.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 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 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 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (+.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 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 #s(literal 1 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 (*.f64 x x) #s(literal 1/5040 binary64))))))))))
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(.f64 (.f64 (.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)))))) (.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 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))
(+.f64 (.f64 x #s(literal -1/180 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))))
(+.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x #s(literal -1/180 binary64)))
(fma.f64 x #s(literal -1/180 binary64) (.f64 x (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))
(fma.f64 #s(literal -1/180 binary64) x (.f64 x (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -1/5832000 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/22785532875 binary64))))) (+.f64 (.f64 (.f64 x #s(literal -1/180 binary64)) (.f64 x #s(literal -1/180 binary64))) (-.f64 (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 (.f64 x #s(literal -1/180 binary64)) (.f64 x (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal -1/180 binary64)) (.f64 x #s(literal -1/180 binary64))) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (.f64 x #s(literal -1/180 binary64)) (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))
(/.f64 (.f64 x (+.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 x (-.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))))
(/.f64 (.f64 (+.f64 #s(literal -1/5832000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/22785532875 binary64)))) x) (+.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 #s(literal 1/32400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/8037225 binary64))) 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 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))) x)
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(.f64 (.f64 x x) #s(literal 1/2835 binary64))
(.f64 #s(literal 1/2835 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/2835 binary64)) x)
(exp.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 x #s(literal 1/6 binary64)))))
(pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 x (.f64 #s(literal 1/36 binary64) x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64)))) #s(literal 2 binary64))
(.f64 x (.f64 #s(literal 1/36 binary64) x))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x (*.f64 x #s(literal 1/6 binary64))))
(.f64 (.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/6 binary64))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(.f64 (.f64 #s(literal 1/36 binary64) x) x)
(.f64 (exp.f64 (log.f64 (.f64 x #s(literal 1/6 binary64)))) (exp.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64)))))
(+.f64 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/120 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/5040 binary64))) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
(+.f64 (.f64 (.f64 x #s(literal 1/120 binary64)) x) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))) x))
(+.f64 (.f64 #s(literal 1/120 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x)))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/5040 binary64)) (.f64 x x)) (.f64 #s(literal 1/120 binary64) (.f64 x x)))
(/.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 (.f64 x x) #s(literal 1/5040 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/25401600 binary64)))) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 x x))))
(.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))
(.f64 (.f64 x x) (+.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 x))
(.f64 (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x 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)

simplify3.3s (19%)

Algorithm

1×	egg-herbie

Rules

6006×	`+-lowering-+.f64`
6006×	`+-lowering-+.f32`
3686×	`-lowering-.f32`
3686×	`-lowering-.f64`
1902×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	371	3460
1	1193	3317
2	3912	3232
0	8605	3232

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

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 (* -53/1814400 (pow x 2)))) 1/180))))
(- (+ (log 1/128024064000) (* -18 (log (/ 1 x)))) (+ (log 1/25401600) (* -12 (log (/ 1 x)))))
(- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (* -12 (log (/ 1 x)))))
(- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (+ (* -12 (log (/ 1 x))) (/ 42 (pow x 4)))))
(- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2)))))) (+ (log 1/25401600) (* -12 (log (/ 1 x)))))
(- (+ (log 1/128024064000) (* -18 (log (/ -1 x)))) (+ (log 1/25401600) (* -12 (log (/ -1 x)))))
(- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (* -12 (log (/ -1 x)))))
(- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (+ (* -12 (log (/ -1 x))) (/ 42 (pow x 4)))))
(- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2)))))) (+ (log 1/25401600) (* -12 (log (/ -1 x)))))
0
(* 1/216 (pow x 6))
(* (pow x 6) (+ 1/216 (* 1/1440 (pow x 2))))
(* (pow x 6) (+ 1/216 (* (pow x 2) (+ 1/1440 (* 31/604800 (pow x 2))))))
(+ (log 1/128024064000) (* -18 (log (/ 1 x))))
(+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 126 (/ 1 (pow x 2)))))
(- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 126 (/ 1 (pow x 2))))) (/ 126 (pow x 4)))
(+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (+ (* -1 (/ (+ 126 (* 31752 (/ 1 (pow x 2)))) (pow x 4))) (* 126 (/ 1 (pow x 2))))))
(+ (log 1/128024064000) (* -18 (log (/ -1 x))))
(+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 126 (/ 1 (pow x 2)))))
(- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 126 (/ 1 (pow x 2))))) (/ 126 (pow x 4)))
(+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (+ (* -1 (/ (+ 126 (* 31752 (/ 1 (pow x 2)))) (pow x 4))) (* 126 (/ 1 (pow x 2))))))
(* 1/216 (pow x 6))
(* (pow x 6) (+ 1/216 (* 1/1440 (pow x 2))))
(* (pow x 6) (+ 1/216 (* (pow x 2) (+ 1/1440 (* 31/604800 (pow x 2))))))
(* (pow x 6) (+ 1/216 (* (pow x 2) (+ 1/1440 (* (pow x 2) (+ 31/604800 (* 1/448000 (pow x 2))))))))
(* 1/128024064000 (pow x 18))
(* (pow x 18) (+ 1/128024064000 (* 1/1016064000 (/ 1 (pow x 2)))))
(* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (* 1/1016064000 (/ 1 (pow x 2))))))
(* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (+ (* 1/1016064000 (/ 1 (pow x 2))) (* 1/448000 (/ 1 (pow x 6)))))))
(* 1/128024064000 (pow x 18))
(* (pow x 18) (+ 1/128024064000 (* 1/1016064000 (/ 1 (pow x 2)))))
(* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (* 1/1016064000 (/ 1 (pow x 2))))))
(* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (+ (* 1/1016064000 (/ 1 (pow x 2))) (* 1/448000 (/ 1 (pow x 6)))))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 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 (* -1/180 (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 (pow x 2))
(* (pow x 2) (+ 1/36 (* 1/1080 (pow x 2))))
(* (pow x 2) (+ 1/36 (* (pow x 2) (+ 1/1080 (* -19/680400 (pow x 2))))))
(* (pow x 2) (+ 1/36 (* (pow x 2) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400))))))
(* 1/8037225 (pow x 10))
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 10) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))
(* 1/8037225 (pow x 10))
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 10) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))
(* 1/1080 (pow x 4))
(* (pow x 4) (+ 1/1080 (* -19/680400 (pow x 2))))
(* (pow x 4) (+ 1/1080 (* (pow x 2) (- (* -1/255150 (pow x 2)) 19/680400))))
(* (pow x 4) (+ 1/1080 (* (pow x 2) (- (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150)) 19/680400))))
(* 1/8037225 (pow x 10))
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 10) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))
(* 1/8037225 (pow x 10))
(* (pow x 10) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1/8037225 (* -1 (/ (+ 1/255150 (* 19/680400 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 10) (- (+ 1/8037225 (* 1/1080 (/ 1 (pow x 6)))) (+ (/ 19/680400 (pow x 4)) (* 1/255150 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -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))))))
(* 1/6 (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)
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 4))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 4) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/6 x)
(* x (+ 1/6 (* 1/120 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* x (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* 1/5040 (pow x 5))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 5))
(* (pow x 5) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/120 (* 1/6 (/ 1 (pow x 2)))) (pow x 2))) 1/5040)))
(* 1/120 x)
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* x (+ 1/120 (* 1/5040 (pow x 2))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/5040 (pow x 3))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* 1/36 (pow x 2))
(* (pow x 2) (+ 1/36 (* 1/360 (pow x 2))))
(* (pow x 2) (+ 1/36 (* (pow x 2) (+ 1/360 (* 41/302400 (pow x 2))))))
(* (pow x 2) (+ 1/36 (* (pow x 2) (+ 1/360 (* (pow x 2) (+ 41/302400 (* 1/302400 (pow x 2))))))))
(* 1/25401600 (pow x 10))
(* (pow x 10) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/360 (/ 1 (pow x 6)))))))
(* 1/25401600 (pow x 10))
(* (pow x 10) (+ 1/25401600 (* 1/302400 (/ 1 (pow x 2)))))
(* (pow x 10) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (* 1/302400 (/ 1 (pow x 2))))))
(* (pow x 10) (+ 1/25401600 (+ (/ 41/302400 (pow x 4)) (+ (* 1/302400 (/ 1 (pow x 2))) (* 1/360 (/ 1 (pow x 6)))))))
(* 1/216 (pow x 3))
(* (pow x 3) (+ 1/216 (* 1/1440 (pow x 2))))
(* (pow x 3) (+ 1/216 (* (pow x 2) (+ 1/1440 (* 31/604800 (pow x 2))))))
(* (pow x 3) (+ 1/216 (* (pow x 2) (+ 1/1440 (* (pow x 2) (+ 31/604800 (* 1/448000 (pow x 2))))))))
(* 1/128024064000 (pow x 15))
(* (pow x 15) (+ 1/128024064000 (* 1/1016064000 (/ 1 (pow x 2)))))
(* (pow x 15) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (* 1/1016064000 (/ 1 (pow x 2))))))
(* (pow x 15) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (+ (* 1/1016064000 (/ 1 (pow x 2))) (* 1/448000 (/ 1 (pow x 6)))))))
(* 1/128024064000 (pow x 15))
(* (pow x 15) (+ 1/128024064000 (* 1/1016064000 (/ 1 (pow x 2)))))
(* -1 (* (pow x 15) (- (* -1 (/ (+ 1/1016064000 (* 31/508032000 (/ 1 (pow x 2)))) (pow x 2))) 1/128024064000)))
(* -1 (* (pow x 15) (- (* -1 (/ (+ 31/508032000 (* 1/448000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/128024064000 (* 1/1016064000 (/ 1 (pow x 2)))))))
(* -1/180 x)
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* 1/2835 (pow x 3))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/2835 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (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 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/180 binary64))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 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 x (.f64 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 1/128024064000) (* -18 (log (/ 1 x)))) (+ (log 1/25401600) (* -12 (log (/ 1 x)))))
(+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (-.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)) (log.f64 #s(literal 1/25401600 binary64))))
(- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (* -12 (log (/ 1 x)))))
(+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (+.f64 (/.f64 #s(literal 42 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (log.f64 #s(literal 1/25401600 binary64)))))
(- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (+ (* -12 (log (/ 1 x))) (/ 42 (pow x 4)))))
(+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 42 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (log.f64 #s(literal 1/25401600 binary64)))) (/.f64 #s(literal -42 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2)))))) (+ (log 1/25401600) (* -12 (log (/ 1 x)))))
(+.f64 (+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (-.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (log.f64 #s(literal 1/25401600 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 (.f64 x x) (.f64 x x)))))
(- (+ (log 1/128024064000) (* -18 (log (/ -1 x)))) (+ (log 1/25401600) (* -12 (log (/ -1 x)))))
(+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64)) (log.f64 #s(literal 1/25401600 binary64))))
(- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (* -12 (log (/ -1 x)))))
(+.f64 (+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (/.f64 #s(literal 42 binary64) (.f64 x x))) (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64)) (log.f64 #s(literal 1/25401600 binary64))))
(- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (+ (log 1/25401600) (+ (* -12 (log (/ -1 x))) (/ 42 (pow x 4)))))
(+.f64 (+.f64 (+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (/.f64 #s(literal 42 binary64) (.f64 x x))) (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64)) (log.f64 #s(literal 1/25401600 binary64)))) (/.f64 #s(literal -42 binary64) (.f64 (.f64 x x) (*.f64 x x))))
(- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2)))))) (+ (log 1/25401600) (* -12 (log (/ -1 x)))))
(+.f64 (+.f64 (log.f64 #s(literal 1/128024064000 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 (.f64 x x) (.f64 x x))))) (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64)) (log.f64 #s(literal 1/25401600 binary64))))
0
#s(literal 0 binary64)
(* 1/216 (pow x 6))
(*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/216 (* 1/1440 (pow x 2))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/216 binary64) (.f64 (*.f64 x x) #s(literal 1/1440 binary64))))
(* (pow x 6) (+ 1/216 (* (pow x 2) (+ 1/1440 (* 31/604800 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/1440 binary64) (.f64 (*.f64 x x) #s(literal 31/604800 binary64))))))
(+ (log 1/128024064000) (* -18 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (*.f64 #s(literal 18 binary64) (log.f64 x)))
(+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 126 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (+.f64 (.f64 #s(literal 18 binary64) (log.f64 x)) (/.f64 #s(literal 126 binary64) (.f64 x x))))
(- (+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (* 126 (/ 1 (pow x 2))))) (/ 126 (pow x 4)))
(+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (+.f64 (/.f64 #s(literal 126 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal 18 binary64) (log.f64 x)) (/.f64 #s(literal -126 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(+ (log 1/128024064000) (+ (* -18 (log (/ 1 x))) (+ (* -1 (/ (+ 126 (* 31752 (/ 1 (pow x 2)))) (pow x 4))) (* 126 (/ 1 (pow x 2))))))
(+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (+.f64 (.f64 #s(literal 18 binary64) (log.f64 x)) (-.f64 (/.f64 #s(literal 126 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 126 binary64) (/.f64 #s(literal 31752 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))))
(+ (log 1/128024064000) (* -18 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (*.f64 #s(literal -18 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 126 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal -18 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (/.f64 #s(literal 126 binary64) (.f64 x x))))
(- (+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (* 126 (/ 1 (pow x 2))))) (/ 126 (pow x 4)))
(+.f64 (.f64 #s(literal -18 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 1/128024064000 binary64)) (+.f64 (/.f64 #s(literal 126 binary64) (.f64 x x)) (/.f64 #s(literal -126 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(+ (log 1/128024064000) (+ (* -18 (log (/ -1 x))) (+ (* -1 (/ (+ 126 (* 31752 (/ 1 (pow x 2)))) (pow x 4))) (* 126 (/ 1 (pow x 2))))))
(+.f64 (-.f64 (.f64 #s(literal -18 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 #s(literal 126 binary64) (/.f64 #s(literal 31752 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 (/.f64 #s(literal 126 binary64) (.f64 x x)) (log.f64 #s(literal 1/128024064000 binary64))))
(* 1/216 (pow x 6))
(*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 1/216 (* 1/1440 (pow x 2))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/216 binary64) (.f64 (*.f64 x x) #s(literal 1/1440 binary64))))
(* (pow x 6) (+ 1/216 (* (pow x 2) (+ 1/1440 (* 31/604800 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/1440 binary64) (.f64 (*.f64 x x) #s(literal 31/604800 binary64))))))
(* (pow x 6) (+ 1/216 (* (pow x 2) (+ 1/1440 (* (pow x 2) (+ 31/604800 (* 1/448000 (pow x 2))))))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/1440 binary64) (.f64 x (.f64 x (+.f64 #s(literal 31/604800 binary64) (.f64 (*.f64 x x) #s(literal 1/448000 binary64)))))))))
(* 1/128024064000 (pow x 18))
(*.f64 #s(literal 1/128024064000 binary64) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (+ 1/128024064000 (* 1/1016064000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/128024064000 binary64) (/.f64 #s(literal 1/1016064000 binary64) (.f64 x x))))
(* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (* 1/1016064000 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/128024064000 binary64) (+.f64 (/.f64 #s(literal 1/1016064000 binary64) (.f64 x x)) (/.f64 #s(literal 31/508032000 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (+ (* 1/1016064000 (/ 1 (pow x 2))) (* 1/448000 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/128024064000 binary64) (+.f64 (/.f64 #s(literal 31/508032000 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/1016064000 binary64) (*.f64 x x)) (/.f64 #s(literal 1/448000 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 1/128024064000 (pow x 18))
(*.f64 #s(literal 1/128024064000 binary64) (pow.f64 x #s(literal 18 binary64)))
(* (pow x 18) (+ 1/128024064000 (* 1/1016064000 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/128024064000 binary64) (/.f64 #s(literal 1/1016064000 binary64) (.f64 x x))))
(* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (* 1/1016064000 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/128024064000 binary64) (+.f64 (/.f64 #s(literal 1/1016064000 binary64) (.f64 x x)) (/.f64 #s(literal 31/508032000 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 18) (+ 1/128024064000 (+ (/ 31/508032000 (pow x 4)) (+ (* 1/1016064000 (/ 1 (pow x 2))) (* 1/448000 (/ 1 (pow x 6)))))))
(.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 #s(literal 1/128024064000 binary64) (+.f64 (/.f64 #s(literal 31/508032000 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/1016064000 binary64) (*.f64 x x)) (/.f64 #s(literal 1/448000 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* 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 x (.f64 x #s(literal -1/180 binary64))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))))
(* 1/2835 (pow x 6))
(*.f64 #s(literal 1/2835 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
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(* 1/128024064000 (pow x 15))
(*.f64 #s(literal 1/128024064000 binary64) (pow.f64 x #s(literal 15 binary64)))
(* (pow x 15) (+ 1/128024064000 (* 1/1016064000 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/128024064000 binary64) (/.f64 #s(literal 1/1016064000 binary64) (.f64 x x))) (pow.f64 x #s(literal 15 binary64)))
(* -1 (* (pow x 15) (- (* -1 (/ (+ 1/1016064000 (* 31/508032000 (/ 1 (pow x 2)))) (pow x 2))) 1/128024064000)))
(.f64 (-.f64 #s(literal -1/128024064000 binary64) (/.f64 (+.f64 #s(literal 1/1016064000 binary64) (/.f64 #s(literal 31/508032000 binary64) (.f64 x x))) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 15 binary64))))
(* -1 (* (pow x 15) (- (* -1 (/ (+ 31/508032000 (* 1/448000 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/128024064000 (* 1/1016064000 (/ 1 (pow x 2)))))))
(.f64 (pow.f64 x #s(literal 15 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 31/508032000 binary64) (/.f64 #s(literal 1/448000 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 1/128024064000 binary64) (/.f64 #s(literal 1/1016064000 binary64) (.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 (.f64 x (.f64 x 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 (.f64 x (.f64 x 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 (.f64 x (.f64 x 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 (.f64 x (.f64 x 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 (.f64 x (.f64 x 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 (.f64 x (.f64 x 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)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(.f64 x (.f64 x #s(literal 1/36 binary64)))
(* 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 (.f64 x 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 (.f64 x 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 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* 1/5040 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x 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 (.f64 x 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 (.f64 x 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 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x 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 (.f64 x 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 (.f64 x 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))

eval402.0ms (2.3%)

Compiler: Compiled 196463 to 5318 computations (97.3% saved)

prune237.0ms (1.3%)

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	2185	14	2199
Fresh	5	10	15
Picked	3	2	5
Done	0	4	4
Total	2193	30	2223

Accuracy

98.0%

Counts

2223 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.9%	(/.f64 (-.f64 (pow.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))))) #s(literal 3 binary64)) (pow.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))))) #s(literal 3 binary64))) (+.f64 (.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 (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 (.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 (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)) (+.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)))))))))
	97.1%	(/.f64 (.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (.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 #s(literal 0 binary64) x)) x) (-.f64 #s(literal 0 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)))))))
	97.1%	(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.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 #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 #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))))))))
	95.9%	(/.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 (.f64 x (.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))))))))))
	97.0%	(-.f64 (log1p.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.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))))))) (.f64 (.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))))))) (.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))))))))))) (log1p.f64 (.f64 (.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))))))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
	2.9%	(+.f64 (/.f64 #s(literal 42 binary64) (.f64 x x)) (+.f64 (log.f64 #s(literal 1/5040 binary64)) (.f64 #s(literal 6 binary64) (log.f64 x))))
	59.5%	(+.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))))
▶	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))))
▶	97.1%	(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (.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 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))
▶	96.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))))
✓	96.3%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
▶	97.2%	(.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x 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))))))))
	97.1%	(.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 (.f64 x x) (.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))))))) 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))))))
	96.7%	(.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))))))))
	97.0%	(.f64 x (+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (*.f64 x #s(literal 1/6 binary64))))
	97.1%	(.f64 x (.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)))))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (.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)))))))))
	18.6%	(.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 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) x)))
✓	97.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
✓	96.9%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))
✓	96.3%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
	59.6%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
✓	97.2%	(log1p.f64 (.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))))))))
	96.3%	(log1p.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
	97.0%	(log1p.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))
	58.1%	(log1p.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))
	96.3%	(log1p.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	59.4%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.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))))))) (.f64 (.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))))))) (.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))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.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))))))) (-.f64 (.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))))))) #s(literal 1 binary64))))))
✓	59.6%	(log.f64 (/.f64 (sinh.f64 x) x))
▶	1.9%	(log.f64 (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))))

Compiler

Compiled 1857 to 722 computations (61.1% saved)

simplify205.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 #s(literal 6 binary64) (log.f64 x))
✓	cost-diff	(+.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (/.f64 #s(literal 42 binary64) (.f64 x x)))
✓	cost-diff	(log.f64 #s(literal 1/5040 binary64))
✓	cost-diff	(+.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))))
✓	cost-diff	(.f64 x (.f64 x x))
✓	cost-diff	(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
✓	cost-diff	(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))))
✓	cost-diff	(log.f64 (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))))
✓	cost-diff	(.f64 (.f64 x (.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)))))
✓	cost-diff	(.f64 x (.f64 (.f64 x (.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))))))
✓	cost-diff	(-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (.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)))))))
✓	cost-diff	(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (.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 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))
✓	cost-diff	(.f64 (.f64 x x) #s(literal -1/180 binary64))
✓	cost-diff	(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))))
✓	cost-diff	(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/32400 binary64)))
✓	cost-diff	(.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/32400 binary64))) x)
✓	cost-diff	(/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x 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	(.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x 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

2998×	`-lowering-.f32`
2998×	`-lowering-.f64`
2114×	`fma-lowering-fma.f32`
2114×	`fma-lowering-fma.f64`
1996×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	434
1	138	384
2	480	375
3	1809	375
4	6444	375
0	8179	375

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)
-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)
x
(+ 1/6 (* (* x x) -1/180))
1/6
(* (* x x) -1/180)
-1/180
(* (- 1/36 (* x (* (* x (* x x)) (* (+ -1/180 (* (* x x) 1/2835)) (+ -1/180 (* (* x x) 1/2835)))))) (* (/ x (- 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))) x))
(- 1/36 (* x (* (* x (* x x)) (* (+ -1/180 (* (* x x) 1/2835)) (+ -1/180 (* (* x x) 1/2835))))))
1/36
(* x (* (* x (* x x)) (* (+ -1/180 (* (* x x) 1/2835)) (+ -1/180 (* (* x x) 1/2835)))))
x
(* (* x (* x x)) (* (+ -1/180 (* (* x x) 1/2835)) (+ -1/180 (* (* x x) 1/2835))))
(* x (* x x))
(* x x)
(* (+ -1/180 (* (* x x) 1/2835)) (+ -1/180 (* (* x x) 1/2835)))
(+ -1/180 (* (* x x) 1/2835))
-1/180
(* (* x x) 1/2835)
1/2835
(* (/ 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)))
(log (* x (* 1/120 (* x (* x x)))))
(* x (* 1/120 (* x (* x x))))
x
(* 1/120 (* x (* x x)))
1/120
(* x (* x x))
(* x x)
(+ (log 1/5040) (+ (* 6 (log x)) (/ 42 (* x x))))
(log 1/5040)
1/5040
(+ (* 6 (log x)) (/ 42 (* x x)))
(* 6 (log x))
6
(log x)
x
(/ 42 (* x x))
42
(* x x)

Outputs
(* x (/ (* (+ 1/36 (* (* (* x x) (* x x)) -1/32400)) x) (- 1/6 (* x (* x (+ -1/180 (* (* x x) 1/2835)))))))
(/.f64 (.f64 x (.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 x (.f64 x (-.f64 #s(literal 1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 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 x (.f64 x (-.f64 #s(literal 1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 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)
(*.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 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 (+ -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 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/180 binary64)))))
(* x x)
(*.f64 x x)
x
(+ 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)))
-1/180
#s(literal -1/180 binary64)
(* (- 1/36 (* x (* (* x (* x x)) (* (+ -1/180 (* (* x x) 1/2835)) (+ -1/180 (* (* x x) 1/2835)))))) (* (/ x (- 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))) x))
(/.f64 (.f64 (.f64 x 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 x) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (-.f64 #s(literal 1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(- 1/36 (* x (* (* x (* x x)) (* (+ -1/180 (* (* x x) 1/2835)) (+ -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 x) (.f64 x (.f64 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 x)) (* (+ -1/180 (* (* x x) 1/2835)) (+ -1/180 (* (* x x) 1/2835)))))
(.f64 (.f64 x (.f64 x (.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)))))
x
(* (* x (* x x)) (* (+ -1/180 (* (* x x) 1/2835)) (+ -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))))))
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(* (+ -1/180 (* (* x x) 1/2835)) (+ -1/180 (* (* x x) 1/2835)))
(.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))))
(+ -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 (- 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))) x)
(/.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 (- 1/6 (* (* 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)))))
(log (* x (* 1/120 (* x (* x x)))))
(log.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64))))
(* x (* 1/120 (* x (* x x))))
(.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/120 binary64)))
x
(* 1/120 (* x (* x x)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 1/120 binary64))
1/120
#s(literal 1/120 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
(* x x)
(*.f64 x x)
(+ (log 1/5040) (+ (* 6 (log x)) (/ 42 (* x 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 1/5040)
(log.f64 #s(literal 1/5040 binary64))
1/5040
#s(literal 1/5040 binary64)
(+ (* 6 (log x)) (/ 42 (* x x)))
(+.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (/.f64 #s(literal 42 binary64) (.f64 x x)))
(* 6 (log x))
(*.f64 #s(literal 6 binary64) (log.f64 x))
6
#s(literal 6 binary64)
(log x)
(log.f64 x)
x
(/ 42 (* x x))
(/.f64 #s(literal 42 binary64) (*.f64 x x))
42
#s(literal 42 binary64)
(* x x)
(*.f64 x x)

localize455.0ms (2.6%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (/.f64 #s(literal 42 binary64) (.f64 x x)))
✓	accuracy	100.0%	(+.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))))
✓	accuracy	99.8%	(/.f64 #s(literal 42 binary64) (*.f64 x x))
✓	accuracy	99.5%	(*.f64 #s(literal 6 binary64) (log.f64 x))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x))))
✓	accuracy	99.9%	(.f64 #s(literal 1/120 binary64) (.f64 x (*.f64 x x)))
✓	accuracy	26.8%	(log.f64 (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.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	99.7%	(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (.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 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))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/2835 binary64))
✓	accuracy	99.2%	(/.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 x x)
✓	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	99.7%	(.f64 (.f64 x 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	99.5%	(/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x 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)))))))
✓	accuracy	99.4%	(.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal -1/32400 binary64))) x)

Results

174.0ms	168×	0	valid
143.0ms	50×	3	valid
35.0ms	20×	2	valid
19.0ms	18×	1	valid

Compiler

Compiled 468 to 45 computations (90.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 237.0ms

ival-mult: 63.0ms (26.5% of total)

backward-pass: 50.0ms (21.1% of total)

...c/correct-round.rkt:119:19: 47.0ms (19.8% of total)

ival-log: 46.0ms (19.4% of total)

ival-div: 13.0ms (5.5% of total)

ival-add: 12.0ms (5.1% of total)

ival-sub: 6.0ms (2.5% of total)

const: 1.0ms (0.4% of total)

series141.0ms (0.8%)

Counts

25 → 288

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 x)>
#<alt (+ 1/6 (* (* x x) -1/180))>
#<alt (* (* x x) -1/180)>
#<alt (* (- 1/36 (* x (* (* x (* x x)) (* (+ -1/180 (* (* x x) 1/2835)) (+ -1/180 (* (* x x) 1/2835)))))) (* (/ x (- 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))) x))>
#<alt (- 1/36 (* x (* (* x (* x x)) (* (+ -1/180 (* (* x x) 1/2835)) (+ -1/180 (* (* x x) 1/2835))))))>
#<alt (* x (* (* x (* x x)) (* (+ -1/180 (* (* x x) 1/2835)) (+ -1/180 (* (* x x) 1/2835)))))>
#<alt (* (* x (* x x)) (* (+ -1/180 (* (* x x) 1/2835)) (+ -1/180 (* (* x x) 1/2835))))>
#<alt (log (* x (* 1/120 (* x (* x x)))))>
#<alt (* x (* 1/120 (* x (* x x))))>
#<alt (* 1/120 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (+ (log 1/5040) (+ (* 6 (log x)) (/ 42 (* x x))))>
#<alt (log 1/5040)>
#<alt (+ (* 6 (log x)) (/ 42 (* x x)))>
#<alt (* 6 (log x))>
#<alt (* x (+ -1/180 (* (* x x) 1/2835)))>
#<alt (* (* x x) 1/2835)>
#<alt (/ x (- 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))>
#<alt (* (* x x) (+ -1/180 (* (* x x) 1/2835)))>
#<alt (/ 42 (* x x))>

Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/6>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (+ 1/6 (* -1/180 (pow x 2)))>
#<alt (* -1/180 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 1/180))>
#<alt (* -1/180 (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 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 (* 1/32400 (pow x 4))>
#<alt (* (pow x 4) (+ 1/32400 (* -1/255150 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))>
#<alt (* (pow x 4) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))>
#<alt (* 1/8037225 (pow x 8))>
#<alt (* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* 1/8037225 (pow x 8))>
#<alt (* (pow x 8) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* 1/32400 (pow x 3))>
#<alt (* (pow x 3) (+ 1/32400 (* -1/255150 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))>
#<alt (* (pow x 3) (+ 1/32400 (* (pow x 2) (- (* 1/8037225 (pow x 2)) 1/255150))))>
#<alt (* 1/8037225 (pow x 7))>
#<alt (* (pow x 7) (- 1/8037225 (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (- (+ 1/8037225 (/ 1/32400 (pow x 4))) (* 1/255150 (/ 1 (pow x 2)))))>
#<alt (* 1/8037225 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- (* 1/255150 (/ 1 (pow x 2))) 1/8037225)))>
#<alt (* -1 (* (pow x 7) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4))))))>
#<alt (* -1 (* (pow x 7) (- (* 1/255150 (/ 1 (pow x 2))) (+ 1/8037225 (/ 1/32400 (pow x 4))))))>
#<alt (+ (log 1/120) (* 4 (log x)))>
#<alt (+ (log 1/120) (* 4 (log x)))>
#<alt (+ (log 1/120) (* 4 (log x)))>
#<alt (+ (log 1/120) (* 4 (log x)))>
#<alt (+ (log 1/120) (* -4 (log (/ 1 x))))>
#<alt (+ (log 1/120) (* -4 (log (/ 1 x))))>
#<alt (+ (log 1/120) (* -4 (log (/ 1 x))))>
#<alt (+ (log 1/120) (* -4 (log (/ 1 x))))>
#<alt (+ (log 1/120) (* -4 (log (/ -1 x))))>
#<alt (+ (log 1/120) (* -4 (log (/ -1 x))))>
#<alt (+ (log 1/120) (* -4 (log (/ -1 x))))>
#<alt (+ (log 1/120) (* -4 (log (/ -1 x))))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 4))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (* 1/120 (pow x 3))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (/ 42 (pow x 2))>
#<alt (/ (+ 42 (* (pow x 2) (+ (log 1/5040) (* 6 (log x))))) (pow x 2))>
#<alt (/ (+ 42 (* (pow x 2) (+ (log 1/5040) (* 6 (log x))))) (pow x 2))>
#<alt (/ (+ 42 (* (pow x 2) (+ (log 1/5040) (* 6 (log x))))) (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)))))>
#<alt (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2)))))>
#<alt (+ (log 1/5040) (* 6 (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (log 1/5040) (+ (* 6 (+ (log -1) (* -1 (log (/ -1 x))))) (* 42 (/ 1 (pow x 2)))))>
#<alt (+ (log 1/5040) (+ (* 6 (+ (log -1) (* -1 (log (/ -1 x))))) (* 42 (/ 1 (pow x 2)))))>
#<alt (+ (log 1/5040) (+ (* 6 (+ (log -1) (* -1 (log (/ -1 x))))) (* 42 (/ 1 (pow x 2)))))>
#<alt (/ 42 (pow x 2))>
#<alt (/ (+ 42 (* 6 (* (pow x 2) (log x)))) (pow x 2))>
#<alt (/ (+ 42 (* 6 (* (pow x 2) (log x)))) (pow x 2))>
#<alt (/ (+ 42 (* 6 (* (pow x 2) (log x)))) (pow x 2))>
#<alt (* -6 (log (/ 1 x)))>
#<alt (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))>
#<alt (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))>
#<alt (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))>
#<alt (* 6 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (+ (* 6 (+ (log -1) (* -1 (log (/ -1 x))))) (* 42 (/ 1 (pow x 2))))>
#<alt (+ (* 6 (+ (log -1) (* -1 (log (/ -1 x))))) (* 42 (/ 1 (pow x 2))))>
#<alt (+ (* 6 (+ (log -1) (* -1 (log (/ -1 x))))) (* 42 (/ 1 (pow x 2))))>
#<alt (* 6 (log x))>
#<alt (* 6 (log x))>
#<alt (* 6 (log x))>
#<alt (* 6 (log x))>
#<alt (* -6 (log (/ 1 x)))>
#<alt (* -6 (log (/ 1 x)))>
#<alt (* -6 (log (/ 1 x)))>
#<alt (* -6 (log (/ 1 x)))>
#<alt (* 6 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (* 6 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (* 6 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (* 6 (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (* -1/180 x)>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* 1/2835 (pow x 3))>
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* -1 (* (pow x 3) (- (* 1/180 (/ 1 (pow x 2))) 1/2835)))>
#<alt (* 1/2835 (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 (* 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 (* -1/180 (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 (/ 42 (pow x 2))>
#<alt (/ 42 (pow x 2))>
#<alt (/ 42 (pow x 2))>
#<alt (/ 42 (pow x 2))>
#<alt (/ 42 (pow x 2))>
#<alt (/ 42 (pow x 2))>
#<alt (/ 42 (pow x 2))>
#<alt (/ 42 (pow x 2))>
#<alt (/ 42 (pow x 2))>
#<alt (/ 42 (pow x 2))>
#<alt (/ 42 (pow x 2))>
#<alt (/ 42 (pow x 2))>

Calls

72 calls:

Time	Variable		Point	Expression
50.0ms	x	@	0	(log (* x (* 1/120 (* x (* x x)))))
24.0ms	x	@	-inf	(* 6 (log x))
24.0ms	x	@	0	(* 6 (log x))
10.0ms	x	@	inf	(log (* x (* 1/120 (* x (* x x)))))
4.0ms	x	@	inf	(* 6 (log x))

rewrite389.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3490×	`-lowering-.f32`
3490×	`-lowering-.f64`
2594×	`/-lowering-/.f32`
2594×	`/-lowering-/.f64`
2376×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	273
1	266	239
2	2243	232
0	8545	232

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 562

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 x)
(+ 1/6 (* (* x x) -1/180))
(* (* x x) -1/180)
(* (- 1/36 (* x (* (* x (* x x)) (* (+ -1/180 (* (* x x) 1/2835)) (+ -1/180 (* (* x x) 1/2835)))))) (* (/ x (- 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835))))) x))
(- 1/36 (* x (* (* x (* x x)) (* (+ -1/180 (* (* x x) 1/2835)) (+ -1/180 (* (* x x) 1/2835))))))
(* x (* (* x (* x x)) (* (+ -1/180 (* (* x x) 1/2835)) (+ -1/180 (* (* x x) 1/2835)))))
(* (* x (* x x)) (* (+ -1/180 (* (* x x) 1/2835)) (+ -1/180 (* (* x x) 1/2835))))
(log (* x (* 1/120 (* x (* x x)))))
(* x (* 1/120 (* x (* x x))))
(* 1/120 (* x (* x x)))
(* x (* x x))
(+ (log 1/5040) (+ (* 6 (log x)) (/ 42 (* x x))))
(log 1/5040)
(+ (* 6 (log x)) (/ 42 (* x x)))
(* 6 (log x))
(* x (+ -1/180 (* (* x x) 1/2835)))
(* (* x x) 1/2835)
(/ x (- 1/6 (* (* x x) (+ -1/180 (* (* x x) 1/2835)))))
(* (* x x) (+ -1/180 (* (* x x) 1/2835)))
(/ 42 (* x x))

Outputs
(/.f64 x (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (*.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 (.f64 x x) #s(literal 1/2835 binary64)))))) (.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 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 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/32400 binary64))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/32400 binary64)))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 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 (.f64 x x) #s(literal 1/2835 binary64)))))) (.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/32400 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/32400 binary64))))) (-.f64 #s(literal 0 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 #s(literal 1 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 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/32400 binary64))))))
(/.f64 (.f64 x (-.f64 #s(literal 0 binary64) (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.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 (.f64 x x) #s(literal 1/2835 binary64))))))))
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(/.f64 (neg.f64 (.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 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))))))))
(pow.f64 (/.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)))))) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.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)))))) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 x (/.f64 #s(literal 1 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 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 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 #s(literal 1 binary64) (/.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 #s(literal 1 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))))))) x)
(.f64 (/.f64 #s(literal 1 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))))))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 x (-.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.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 #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 #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 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
(+.f64 (.f64 (.f64 x x) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))
(+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 (.f64 x x) #s(literal -1/180 binary64)))
(fma.f64 x (.f64 x #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))
(fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 (*.f64 x x) #s(literal -1/180 binary64)))
(fma.f64 (.f64 x x) #s(literal -1/180 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/2835 binary64)) (.f64 (*.f64 x x) #s(literal -1/180 binary64)))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/180 binary64)))
(fma.f64 #s(literal -1/180 binary64) (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))
(fma.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x (.f64 x x))) (.f64 (*.f64 x x) #s(literal -1/180 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/2835 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal -1/180 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal 1/2835 binary64)) (.f64 (*.f64 x x) #s(literal -1/180 binary64)))
(fma.f64 (.f64 x #s(literal -1/180 binary64)) x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))) x (.f64 (*.f64 x x) #s(literal -1/180 binary64)))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/5832000 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/22785532875 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/32400 binary64)) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/32400 binary64)) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (-.f64 (.f64 (.f64 x x) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))
(/.f64 (.f64 (.f64 x x) (+.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 x x) (-.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))))
(/.f64 (.f64 (+.f64 #s(literal -1/5832000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/22785532875 binary64)))) (.f64 x x)) (+.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 #s(literal 1/32400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/8037225 binary64))) (.f64 x x)) (-.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/5832000 binary64))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/22785532875 binary64))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/32400 binary64)) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/32400 binary64)) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/180 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/5832000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/22785532875 binary64)))))) (neg.f64 (+.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 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/8037225 binary64))))) (neg.f64 (-.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1/5832000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/22785532875 binary64)))) (.f64 x x))) (neg.f64 (+.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 (neg.f64 (.f64 (-.f64 #s(literal 1/32400 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/8037225 binary64))) (.f64 x x))) (neg.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)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))
(.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))) x)
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x x) #s(literal 42 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -42 binary64) (*.f64 x x)))
(/.f64 #s(literal 42 binary64) (*.f64 x x))
(/.f64 #s(literal 42 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 #s(literal -42 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal -42 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 42 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal 42 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 42 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) #s(literal 42 binary64)))))
(/.f64 (/.f64 #s(literal 42 binary64) x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal 42 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 42 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 42 binary64) x))))
(/.f64 (neg.f64 (/.f64 #s(literal 42 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 42 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(pow.f64 (/.f64 (*.f64 x x) #s(literal 42 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 42 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 42 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 42 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal -42 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 42 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 42 binary64))
(*.f64 (/.f64 #s(literal 42 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 42 binary64) x))

simplify276.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

3620×	`-lowering-.f32`
3620×	`-lowering-.f64`
2008×	`+-lowering-+.f64`
2008×	`+-lowering-+.f32`
1546×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	254	2499
1	698	2392
2	2036	2344
3	5855	2334
0	8126	2334

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

eval191.0ms (1.1%)

Compiler: Compiled 40355 to 2716 computations (93.3% saved)

prune129.0ms (0.7%)

Pruning

31 alts after pruning (22 fresh and 9 done)

	Pruned	Kept	Total
New	1118	9	1127
Fresh	6	13	19
Picked	2	3	5
Done	0	6	6
Total	1126	31	1157

Accuracy

98.0%

Counts

1157 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.9%	(/.f64 (-.f64 (pow.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))))) #s(literal 3 binary64)) (pow.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))))) #s(literal 3 binary64))) (+.f64 (.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 (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 (.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 (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)) (+.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)))))))))
	96.7%	(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/32400 binary64))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))))
	97.3%	(/.f64 x (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))))))
	97.0%	(/.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))))))))
	97.0%	(-.f64 (log1p.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.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))))))) (.f64 (.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))))))) (.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))))))))))) (log1p.f64 (.f64 (.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))))))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
	2.9%	(+.f64 (/.f64 #s(literal 42 binary64) (.f64 x x)) (+.f64 (log.f64 #s(literal 1/5040 binary64)) (.f64 #s(literal 6 binary64) (log.f64 x))))
	59.5%	(+.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))))
	2.9%	(+.f64 (log.f64 #s(literal 1/5040 binary64)) (/.f64 (+.f64 #s(literal 42 binary64) (.f64 x (.f64 x (.f64 #s(literal 6 binary64) (log.f64 x))))) (.f64 x 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))))
	97.2%	(.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.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 (.f64 x x) #s(literal 1/2835 binary64))))))))
	22.8%	(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
✓	96.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))))
✓	96.3%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	97.2%	(.f64 x (/.f64 (/.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 #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 (.f64 x x) #s(literal 1/2835 binary64))))))))
	96.3%	(.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/32400 binary64))) x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
	96.7%	(.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))))))))
	97.0%	(.f64 x (+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (*.f64 x #s(literal 1/6 binary64))))
✓	97.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
✓	96.9%	(.f64 x (.f64 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))))))))))
	63.3%	(.f64 x (.f64 x #s(literal 7/80 binary64)))
✓	96.3%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
	96.7%	(.f64 #s(literal 1/36 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))
	59.6%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
✓	97.2%	(log1p.f64 (.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))))))))
	96.3%	(log1p.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
	97.0%	(log1p.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64))))))
	58.1%	(log1p.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))
	96.3%	(log1p.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	59.4%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.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))))))) (.f64 (.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))))))) (.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))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.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))))))) (-.f64 (.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))))))) #s(literal 1 binary64))))))
✓	59.6%	(log.f64 (/.f64 (sinh.f64 x) x))
✓	1.9%	(log.f64 (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))))

Compiler

Compiled 2428 to 630 computations (74.1% saved)

regimes44.0ms (0.3%)

Counts

51 → 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 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))))
(.f64 (.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 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
(.f64 #s(literal 1/36 binary64) (.f64 (/.f64 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 x (+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (*.f64 x #s(literal 1/6 binary64))))
(.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 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 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/32400 binary64))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))))
(.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/32400 binary64))) x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
(.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 (/.f64 #s(literal 1/180 binary64) x) x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(.f64 x (.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) x)))
(.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x 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 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.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 (.f64 x x) #s(literal 1/2835 binary64))))))))
(/.f64 x (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -1/32400 binary64))))))
(.f64 x (.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)))))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (.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 x (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.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)))))) 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 1/36 binary64) (.f64 x (.f64 (.f64 x (.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 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 (.f64 x x) (.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 #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 #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 (.f64 x (.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 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (.f64 x (.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 #s(literal 0 binary64) x)) x) (-.f64 #s(literal 0 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)))))))
(.f64 x (/.f64 (/.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 #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 (.f64 x 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 (.f64 x x) (.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))))))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64))))))
(/.f64 (.f64 (.f64 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 (.f64 x x) (.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 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))) #s(literal 1/6 binary64)))))
(log1p.f64 (.f64 (.f64 x 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 (.f64 x x) (.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 x (.f64 x x)))) (+.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))) (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))))))
(log.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)))
(log.f64 (.f64 x (.f64 #s(literal 1/120 binary64) (.f64 x (.f64 x x)))))
(log1p.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal 1/120 binary64)))))))
(log1p.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 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 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))
(log1p.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 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) #s(literal 1/120 binary64)))))) x))
(log1p.f64 (.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))))))))
(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))))))))
(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)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.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))))))) (.f64 (.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))))))) (.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))))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.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))))))) (-.f64 (.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))))))) #s(literal 1 binary64))))))
(log.f64 (/.f64 (sinh.f64 x) x))
(neg.f64 (log.f64 (/.f64 x (sinh.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))))
(+.f64 (/.f64 #s(literal 42 binary64) (.f64 x 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 42 binary64) (.f64 x (.f64 x (.f64 #s(literal 6 binary64) (log.f64 x))))) (.f64 x x)))
(-.f64 (log1p.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.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))))))) (.f64 (.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))))))) (.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))))))))))) (log1p.f64 (.f64 (.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))))))) (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.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))))))) (.f64 (.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))))))) (.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))))))))))) (log1p.f64 (.f64 (.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))))))) (-.f64 (.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))))))) #s(literal 1 binary64)))))
(+.f64 (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (pow.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))))) #s(literal 3 binary64)) (pow.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))))) #s(literal 3 binary64))) (+.f64 (.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 (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 (.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 (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)) (+.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)))))))))

Outputs

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

Calls

3 calls:

16.0ms	x
13.0ms	(log.f64 (/.f64 (sinh.f64 x) x))
11.0ms	(/.f64 (sinh.f64 x) x)

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes7.0ms (0%)

Counts

18 → 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 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))))
(.f64 (.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 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
(.f64 #s(literal 1/36 binary64) (.f64 (/.f64 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 x (+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (*.f64 x #s(literal 1/6 binary64))))
(.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 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 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/32400 binary64))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))))
(.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/32400 binary64))) x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
(.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 (/.f64 #s(literal 1/180 binary64) x) x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(.f64 x (.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) x)))
(.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x 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 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.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 (.f64 x x) #s(literal 1/2835 binary64))))))))

Outputs

(*.f64 x (/.f64 (*.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 (*.f64 x 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))))))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
97.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Counts

16 → 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 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))))
(.f64 (.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 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
(.f64 #s(literal 1/36 binary64) (.f64 (/.f64 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 x (+.f64 (.f64 x (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))) (*.f64 x #s(literal 1/6 binary64))))
(.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 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 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))
(/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/32400 binary64))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))))
(.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/32400 binary64))) x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
(.f64 x (.f64 x (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (-.f64 #s(literal 1/2835 binary64) (/.f64 (/.f64 #s(literal 1/180 binary64) x) x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(.f64 x (.f64 (+.f64 (+.f64 #s(literal 1/2835 binary64) (/.f64 #s(literal -1/180 binary64) (.f64 x x))) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x x)) x)))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
97.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
97.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (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 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -1/180 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
96.7%	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 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
96.7%	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
96.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -21.1b remaining (-887.5%)

Threshold costs -21.1b (-887.5%)

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
96.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

60×	`*-commutative_binary64`
30×	`+-commutative_binary64`
18×	`sub-neg_binary64`
16×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	126
1	73	126
2	85	126
3	96	126
4	106	126
5	121	126
6	132	126
7	138	126
8	140	126

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.7s (9.8%)

Rules

6006×	`+-lowering-+.f64`
6006×	`+-lowering-+.f32`
3686×	`-lowering-.f32`
3686×	`-lowering-.f64`
3490×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	2708
1	626	2603
2	1921	2555
3	5979	2551
0	8078	2551
0	371	3460
1	1193	3317
2	3912	3232
0	8605	3232
0	37	281
1	250	249
2	2414	249
0	8412	249
0	59	392
1	163	372
2	470	366
3	1529	366
4	3317	366
5	5861	366
6	7334	366
0	8089	366
0	44	273
1	266	239
2	2243	232
0	8545	232

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
1×	iter limit
1×	node limit

Compiler

Compiled 342 to 174 computations (49.1% saved)

preprocess113.0ms (0.6%)

Remove: (abs x)
Compiler: Compiled 628 to 312 computations (50.3% saved)

analyze128.0ms (0.7%)

sample4.7s (26.6%)

preprocess291.0ms (1.7%)

explain179.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify200.0ms (1.1%)

localize125.0ms (0.7%)

series65.0ms (0.4%)

rewrite274.0ms (1.6%)

simplify166.0ms (0.9%)

eval67.0ms (0.4%)

prune57.0ms (0.3%)

simplify128.0ms (0.7%)

localize579.0ms (3.3%)

series18.0ms (0.1%)

rewrite419.0ms (2.4%)

simplify350.0ms (2%)

eval135.0ms (0.8%)

prune142.0ms (0.8%)

simplify266.0ms (1.5%)

localize1.2s (6.6%)

series23.0ms (0.1%)

rewrite452.0ms (2.6%)

simplify3.3s (19%)

eval402.0ms (2.3%)

prune237.0ms (1.3%)

simplify205.0ms (1.2%)

localize455.0ms (2.6%)

series141.0ms (0.8%)

rewrite389.0ms (2.2%)

simplify276.0ms (1.6%)

eval191.0ms (1.1%)

prune129.0ms (0.7%)

regimes44.0ms (0.3%)

regimes7.0ms (0%)

regimes6.0ms (0%)

regimes3.0ms (0%)

regimes6.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify12.0ms (0.1%)

soundness1.7s (9.8%)

preprocess113.0ms (0.6%)

end0.0ms (0%)

Profiling