Metrics for bug500, discussion (missed optimization)

analyze127.0ms (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: 49.0ms

ival-log: 19.0ms (38.5% of total)

ival-div: 16.0ms (32.4% of total)

ival-sinh: 12.0ms (24.3% of total)

const: 1.0ms (2% of total)

backward-pass: 1.0ms (2% of total)

sample4.5s (26.6%)

Results

1.9s	5878×	2	valid
1.6s	7713×	5	exit
300.0ms	2084×	1	valid
36.0ms	294×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-log: 1.3s (50.9% of total)

backward-pass: 451.0ms (17.7% of total)

ival-sinh: 412.0ms (16.1% of total)

ival-div: 374.0ms (14.6% of total)

const: 17.0ms (0.7% of total)

Bogosity

preprocess294.0ms (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)

explain235.0ms (1.4%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
137	1	(2.0142345090293966e-161)	-	`(log.f64 (/.f64 (sinh.f64 x) x))`
0	0	-	-	`x`
0	0	-	-	`(/.f64 (sinh.f64 x) x)`
0	0	-	-	`(sinh.f64 x)`

Results

148.0ms	356×	2	valid
40.0ms	34×	0	valid
19.0ms	122×	1	valid

Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-log: 67.0ms (50.7% of total)

ival-sinh: 30.0ms (22.7% of total)

backward-pass: 19.0ms (14.4% of total)

ival-div: 11.0ms (8.3% of total)

const: 4.0ms (3% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify272.0ms (1.6%)

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

localize215.0ms (1.3%)

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	53.2%	(log.f64 (/.f64 (sinh.f64 x) x))

Results

140.0ms	178×	2	valid
63.0ms	61×	1	valid
1.0ms	17×	0	valid

Compiler

Compiled 14 to 5 computations (64.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 178.0ms

ival-log: 106.0ms (59.4% of total)

ival-div: 59.0ms (33.1% of total)

ival-sinh: 8.0ms (4.5% of total)

backward-pass: 5.0ms (2.8% of total)

const: 0.0ms (0% of total)

series118.0ms (0.7%)

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
82.0ms	x	@	-inf	(log (/ (sinh x) x))
33.0ms	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)

rewrite262.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	11
1	20	11
2	123	11
3	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))))))
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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)))))))

simplify194.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	392
1	163	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)))

eval52.0ms (0.3%)

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

prune81.0ms (0.5%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	395	19	414
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	395	20	415

Accuracy

98.1%

Counts

415 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.6%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))) #s(literal 3 binary64))) (+.f64 (.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 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x)))) (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x)))) (.f64 (/.f64 (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)))))))
	53.0%	(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 (sinh.f64 x))))
	9.6%	(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))) (.f64 (log.f64 (.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (log.f64 (.f64 (sinh.f64 x) x)) (log.f64 (*.f64 (sinh.f64 x) x))))
	53.1%	(/.f64 (-.f64 (.f64 (log.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) x))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (log.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 2 binary64))))
	53.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x))))
	53.0%	(-.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))))))
	53.2%	(-.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 2 binary64)))
	53.0%	(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
	53.1%	(+.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))))
▶	9.8%	(.f64 (.f64 (log.f64 (.f64 (sinh.f64 x) x)) (log.f64 (/.f64 x (sinh.f64 x)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 x) x)))))
	95.8%	(.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)))))))
▶	95.9%	(.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))))))))))
	95.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
▶	94.3%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
	53.2%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
▶	9.8%	(log.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 (-.f64 #s(literal 0 binary64) x) (sinh.f64 x))) (*.f64 x x)))
✓	53.2%	(log.f64 (/.f64 (sinh.f64 x) x))
	50.5%	(log.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)))
	51.6%	(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))))))))
▶	51.2%	(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 846 to 398 computations (53% saved)

simplify203.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 (*.f64 (sinh.f64 x) x))
✓	cost-diff	0	(.f64 (log.f64 (.f64 (sinh.f64 x) x)) (log.f64 (/.f64 x (sinh.f64 x))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) x))))
✓	cost-diff	26240	(.f64 (.f64 (log.f64 (.f64 (sinh.f64 x) x)) (log.f64 (/.f64 x (sinh.f64 x)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 x) x)))))
✓	cost-diff	256	(*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
✓	cost-diff	512	(-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 (-.f64 #s(literal 0 binary64) x) (sinh.f64 x)))
✓	cost-diff	768	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 (-.f64 #s(literal 0 binary64) x) (sinh.f64 x))) (*.f64 x x))
✓	cost-diff	768	(log.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 (-.f64 #s(literal 0 binary64) x) (sinh.f64 x))) (*.f64 x x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
✓	cost-diff	128	(log.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
✓	cost-diff	0	(*.f64 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 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))))))))))

Rules

2458×	`-lowering-.f32`
2458×	`-lowering-.f64`
1520×	`+-lowering-+.f64`
1520×	`+-lowering-+.f32`
1174×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	316
1	128	282
2	395	282
3	1531	262
4	7362	262
0	8013	262

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (* x (+ 1/6 (* (* x x) (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))))
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
(* 1/6 (* x x))
1/6
(* x x)
x
(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 (/ (- (* 0 (- 0 x)) (* (- 0 x) (sinh x))) (* x x)))
(/ (- (* 0 (- 0 x)) (* (- 0 x) (sinh x))) (* x x))
(- (* 0 (- 0 x)) (* (- 0 x) (sinh x)))
(* 0 (- 0 x))
0
(- 0 x)
x
(* (- 0 x) (sinh x))
(sinh x)
(* x x)
(* (* (log (* (sinh x) x)) (log (/ x (sinh x)))) (/ 1 (log (/ 1 (* (sinh x) x)))))
(* (log (* (sinh x) x)) (log (/ x (sinh x))))
(log (* (sinh x) x))
(* (sinh x) x)
(sinh x)
x
(log (/ x (sinh x)))
(/ x (sinh x))
(/ 1 (log (/ 1 (* (sinh x) x))))
1
(log (/ 1 (* (sinh x) x)))
(/ 1 (* (sinh x) x))

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

localize634.0ms (3.7%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(.f64 (log.f64 (.f64 (sinh.f64 x) x)) (log.f64 (/.f64 x (sinh.f64 x))))
✓	accuracy	55.2%	(log.f64 (*.f64 (sinh.f64 x) x))
✓	accuracy	53.8%	(log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) x)))
✓	accuracy	53.3%	(log.f64 (/.f64 x (sinh.f64 x)))
✓	accuracy	100.0%	(sinh.f64 x)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 0 binary64) x) (sinh.f64 x))
✓	accuracy	58.0%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 (-.f64 #s(literal 0 binary64) x) (sinh.f64 x))) (*.f64 x x))
✓	accuracy	53.2%	(log.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 (-.f64 #s(literal 0 binary64) x) (sinh.f64 x))) (*.f64 x x)))
✓	accuracy	100.0%	(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/120 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))
✓	accuracy	55.1%	(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	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -1/37800 binary64))
✓	accuracy	99.7%	(.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))
✓	accuracy	99.5%	(.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))))

Results

462.0ms	178×	2	valid
80.0ms	61×	1	valid
8.0ms	17×	0	valid

Compiler

Compiled 344 to 41 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 409.0ms

ival-log: 155.0ms (37.9% of total)

ival-mult: 84.0ms (20.5% of total)

...c/correct-round.rkt:119:19: 53.0ms (13% of total)

ival-sinh: 37.0ms (9% of total)

backward-pass: 34.0ms (8.3% of total)

ival-div: 20.0ms (4.9% of total)

ival-add: 16.0ms (3.9% of total)

ival-sub: 8.0ms (2% of total)

const: 1.0ms (0.2% of total)

series115.0ms (0.7%)

Counts

26 → 312

Calls

Call 1

Inputs
#<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 (* 1/6 (* x x))>
#<alt (* x x)>
#<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 (/ (- (* 0 (- 0 x)) (* (- 0 x) (sinh x))) (* x x)))>
#<alt (/ (- (* 0 (- 0 x)) (* (- 0 x) (sinh x))) (* x x))>
#<alt (- (* 0 (- 0 x)) (* (- 0 x) (sinh x)))>
#<alt (* 0 (- 0 x))>
#<alt (* (* (log (* (sinh x) x)) (log (/ x (sinh x)))) (/ 1 (log (/ 1 (* (sinh x) x)))))>
#<alt (/ 1 (log (/ 1 (* (sinh x) x))))>
#<alt (* (log (* (sinh x) x)) (log (/ x (sinh x))))>
#<alt (log (* (sinh x) x))>
#<alt (* x (+ 1/2835 (* (* x x) -1/37800)))>
#<alt (* x (* x (+ 1/2835 (* (* x x) -1/37800))))>
#<alt (* (* x x) -1/37800)>
#<alt (* (* x x) 1/120)>
#<alt (+ 1/6 (* (* x x) 1/120))>
#<alt (* (- 0 x) (sinh x))>
#<alt (sinh x)>
#<alt (log (/ x (sinh x)))>
#<alt (log (/ 1 (* (sinh 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 (* -1/37800 (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 (* 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) (- (* 1/6480 (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 (* -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 (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/6 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (* x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* x (- (exp x) (/ 1 (exp x)))))>
#<alt (* 1/2 (* x (- (exp x) (/ 1 (exp x)))))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/2 (/ (- (* 1/90 (log x)) 1/36) (log x))) (* 1/72 (/ 1 (log x)))))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (+ (* -1/2 (/ (- (* 1/90 (log x)) 1/36) (log x))) (* (pow x 2) (- (+ (* -1/2 (/ (+ 1/540 (* -2/2835 (log x))) (log x))) (* 1/2160 (/ 1 (log x)))) (* 1/12 (/ (- (* -1/2 (/ (- (* 1/90 (log x)) 1/36) (log x))) (* 1/72 (/ 1 (log x)))) (log x)))))) (* 1/72 (/ 1 (log x)))))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (+ (* -1/2 (/ (- (* 1/90 (log x)) 1/36) (log x))) (* (pow x 2) (- (+ (* -1/2 (/ (+ 1/540 (* -2/2835 (log x))) (log x))) (+ (* 1/2160 (/ 1 (log x))) (* (pow x 2) (- (* -1/2 (/ (- (* 1/18900 (log x)) 101/680400) (log x))) (+ (* -1/360 (/ (- (* -1/2 (/ (- (* 1/90 (log x)) 1/36) (log x))) (* 1/72 (/ 1 (log x)))) (log x))) (+ (* 1/34020 (/ 1 (log x))) (* 1/12 (/ (- (+ (* -1/2 (/ (+ 1/540 (* -2/2835 (log x))) (log x))) (* 1/2160 (/ 1 (log x)))) (* 1/12 (/ (- (* -1/2 (/ (- (* 1/90 (log x)) 1/36) (log x))) (* 1/72 (/ 1 (log x)))) (log x)))) (log x))))))))) (* 1/12 (/ (- (* -1/2 (/ (- (* 1/90 (log x)) 1/36) (log x))) (* 1/72 (/ 1 (log x)))) (log x)))))) (* 1/72 (/ 1 (log x)))))))>
#<alt (/ (* (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))) (+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x)))))))>
#<alt (/ (* (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))) (+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x)))))))>
#<alt (/ (* (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))) (+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x)))))))>
#<alt (/ (* (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))) (+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x)))))))>
#<alt (/ (* (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))) (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))))>
#<alt (/ (* (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))) (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))))>
#<alt (/ (* (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))) (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))))>
#<alt (/ (* (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))) (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))))>
#<alt (/ -1/2 (log x))>
#<alt (- (* 1/24 (/ (pow x 2) (pow (log x) 2))) (* 1/2 (/ 1 (log x))))>
#<alt (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/720 (/ 1 (pow (log x) 2))) (* 1/288 (/ 1 (pow (log x) 3)))))) (* 1/24 (/ 1 (pow (log x) 2))))) (* 1/2 (/ 1 (log x))))>
#<alt (- (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (- (+ (* 1/11340 (/ 1 (pow (log x) 2))) (* 1/8640 (/ 1 (pow (log x) 3)))) (* -1/12 (/ (+ (* 1/720 (/ 1 (pow (log x) 2))) (* 1/288 (/ 1 (pow (log x) 3)))) (log x))))) (+ (* 1/720 (/ 1 (pow (log x) 2))) (* 1/288 (/ 1 (pow (log x) 3)))))) (* 1/24 (/ 1 (pow (log x) 2))))) (* 1/2 (/ 1 (log x))))>
#<alt (/ 1 (+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x)))))))>
#<alt (/ 1 (+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x)))))))>
#<alt (/ 1 (+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x)))))))>
#<alt (/ 1 (+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x)))))))>
#<alt (/ 1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))))>
#<alt (/ 1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))))>
#<alt (/ 1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))))>
#<alt (/ 1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))))>
#<alt (* -1/3 (* (pow x 2) (log x)))>
#<alt (* (pow x 2) (+ (* -1/3 (log x)) (* (pow x 2) (- (* 1/90 (log x)) 1/36))))>
#<alt (* (pow x 2) (+ (* -1/3 (log x)) (* (pow x 2) (- (+ (* 1/90 (log x)) (* (pow x 2) (+ 1/540 (* -2/2835 (log x))))) 1/36))))>
#<alt (* (pow x 2) (+ (* -1/3 (log x)) (* (pow x 2) (- (+ (* 1/90 (log x)) (* (pow x 2) (+ 1/540 (+ (* -2/2835 (log x)) (* (pow x 2) (- (* 1/18900 (log x)) 101/680400)))))) 1/36))))>
#<alt (* (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))>
#<alt (* (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))>
#<alt (* (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))>
#<alt (* (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))>
#<alt (* (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))>
#<alt (* (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))>
#<alt (* (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))>
#<alt (* (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))>
#<alt (* 2 (log x))>
#<alt (+ (* 1/6 (pow x 2)) (* 2 (log x)))>
#<alt (+ (* 2 (log x)) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))))>
#<alt (+ (* 2 (log x)) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))>
#<alt (* 1/2835 x)>
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* -1/37800 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* -1/37800 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* -1/37800 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* -1/37800 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (+ 1/6 (* 1/120 (pow x 2)))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/6 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 1))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/5040 (pow x 2)) 1/120)) 1/6)) 1))>
#<alt (* -1/2 (* x (- (exp x) (/ 1 (exp x)))))>
#<alt (* -1/2 (* x (- (exp x) (/ 1 (exp x)))))>
#<alt (* -1/2 (* x (- (exp x) (/ 1 (exp x)))))>
#<alt (* -1/2 (* x (- (exp x) (/ 1 (exp x)))))>
#<alt (* -1/2 (* x (- (exp x) (/ 1 (exp x)))))>
#<alt (* -1/2 (* x (- (exp x) (/ 1 (exp x)))))>
#<alt (* -1/2 (* x (- (exp x) (/ 1 (exp x)))))>
#<alt (* -1/2 (* x (- (exp x) (/ 1 (exp x)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/180 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 1/180 (* (pow x 2) (- (* 1/37800 (pow x 2)) 1/2835)))) 1/6))>
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))>
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))>
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))>
#<alt (* -2 (log x))>
#<alt (+ (* -2 (log x)) (* -1/6 (pow x 2)))>
#<alt (+ (* -2 (log x)) (* (pow x 2) (- (* 1/180 (pow x 2)) 1/6)))>
#<alt (+ (* -2 (log x)) (* (pow x 2) (- (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2)))) 1/6)))>
#<alt (+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x))))))>
#<alt (+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x))))))>
#<alt (+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x))))))>
#<alt (+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x))))))>
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>
#<alt (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))>

Calls

78 calls:

Time	Variable		Point	Expression
59.0ms	x	@	-inf	(* (* (log (* (sinh x) x)) (log (/ x (sinh x)))) (/ 1 (log (/ 1 (* (sinh x) x)))))
34.0ms	x	@	inf	(* (* (log (* (sinh x) x)) (log (/ x (sinh x)))) (/ 1 (log (/ 1 (* (sinh x) x)))))
3.0ms	x	@	inf	(- (* 0 (- 0 x)) (* (- 0 x) (sinh x)))
2.0ms	x	@	0	(* (* (log (* (sinh x) x)) (log (/ x (sinh x)))) (/ 1 (log (/ 1 (* (sinh x) x)))))
1.0ms	x	@	0	(log (+ 1 (* (* x x) (+ 1/6 (* (* x x) 1/120)))))

rewrite322.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3414×	`-lowering-.f32`
3414×	`-lowering-.f64`
2784×	`/-lowering-/.f32`
2784×	`/-lowering-/.f64`
1808×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	251
1	263	216
2	2148	215
0	8575	215

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 846

Calls

Call 1

Inputs
(* 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))))))
(* 1/6 (* x x))
(* x x)
(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 (/ (- (* 0 (- 0 x)) (* (- 0 x) (sinh x))) (* x x)))
(/ (- (* 0 (- 0 x)) (* (- 0 x) (sinh x))) (* x x))
(- (* 0 (- 0 x)) (* (- 0 x) (sinh x)))
(* 0 (- 0 x))
(* (* (log (* (sinh x) x)) (log (/ x (sinh x)))) (/ 1 (log (/ 1 (* (sinh x) x)))))
(/ 1 (log (/ 1 (* (sinh x) x))))
(* (log (* (sinh x) x)) (log (/ x (sinh x))))
(log (* (sinh x) x))
(* x (+ 1/2835 (* (* x x) -1/37800)))
(* x (* x (+ 1/2835 (* (* x x) -1/37800))))
(* (* x x) -1/37800)
(* (* x x) 1/120)
(+ 1/6 (* (* x x) 1/120))
(* (- 0 x) (sinh x))
(sinh x)
(log (/ x (sinh x)))
(log (/ 1 (* (sinh x) x)))

Outputs
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) x))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))))
(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 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))) x))
(fma.f64 x (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (*.f64 x x)))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))))
(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 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))) x))
(fma.f64 #s(literal 1/6 binary64) (.f64 x x) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1/6 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))))
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(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x))) (sinh.f64 x))) (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) x)))
(.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))) (.f64 (sinh.f64 x) (*.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x))))))
(.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (.f64 (.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x))) (-.f64 #s(literal 0 binary64) x))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))) (sinh.f64 x)))
(.f64 (/.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (.f64 (.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x))) (sinh.f64 x))) (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)))
(.f64 (/.f64 (pow.f64 (.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 (pow.f64 (.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 3/2 binary64)) (.f64 (sinh.f64 x) (*.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x))))))
(.f64 (/.f64 (pow.f64 (.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 3/2 binary64)) (sinh.f64 x)) (/.f64 (pow.f64 (.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 3/2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x))))))
(.f64 (/.f64 (pow.f64 (.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 3/2 binary64)) (.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x)))) (/.f64 (pow.f64 (.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 3/2 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x)))))
(.f64 (/.f64 (pow.f64 (.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 3/2 binary64)) (.f64 x x)) (/.f64 (pow.f64 (.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 3/2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 3/2 binary64)) (pow.f64 (sinh.f64 x) #s(literal 2 binary64))) (/.f64 (pow.f64 (.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 3/2 binary64)) (.f64 x x)))
(.f64 (/.f64 (pow.f64 (.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 3/2 binary64)) (.f64 (.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x))) (-.f64 #s(literal 0 binary64) x))) (/.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 3/2 binary64)) (sinh.f64 x)))
(.f64 (/.f64 (pow.f64 (.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 3/2 binary64)) (.f64 (.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x))) (sinh.f64 x))) (/.f64 (pow.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x))) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x))) x) (/.f64 (sinh.f64 x) x))
(+.f64 (.f64 (sinh.f64 x) (cosh.f64 #s(literal 0 binary64))) (.f64 (cosh.f64 x) (sinh.f64 #s(literal 0 binary64))))
(+.f64 (.f64 (sinh.f64 #s(literal 0 binary64)) (cosh.f64 x)) (.f64 (cosh.f64 #s(literal 0 binary64)) (sinh.f64 x)))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))
(-.f64 (.f64 (sinh.f64 #s(literal 0 binary64)) (cosh.f64 (-.f64 #s(literal 0 binary64) x))) (.f64 (cosh.f64 #s(literal 0 binary64)) (sinh.f64 (-.f64 #s(literal 0 binary64) x))))
(neg.f64 (sinh.f64 (-.f64 #s(literal 0 binary64) x)))
(sinh.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))
(log.f64 (/.f64 x (sinh.f64 x)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (sinh.f64 x))))
(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))))
(+.f64 (log.f64 x) (log.f64 (/.f64 x (*.f64 x (sinh.f64 x)))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) x)))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sinh.f64 x)))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) (log.f64 x))
(+.f64 (log.f64 (/.f64 x (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (/.f64 (.f64 x x) (pow.f64 (.f64 x (sinh.f64 x)) #s(literal 3 binary64)))) (.f64 #s(literal 2 binary64) (log.f64 (.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x))))))
(+.f64 (log.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 x (sinh.f64 x)) #s(literal 2 binary64))))) (log.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (sinh.f64 x) x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 (sinh.f64 x) x) #s(literal 1 binary64))))
(-.f64 (log.f64 x) (log.f64 (sinh.f64 x)))
(-.f64 (log.f64 x) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)))))
(-.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) (log.f64 (.f64 x (sinh.f64 x))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (.f64 x x))) (log.f64 (.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 (sinh.f64 x) x))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))) (log.f64 (.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) (.f64 x x))))
(-.f64 (log.f64 (*.f64 x #s(literal 1 binary64))) (log.f64 (sinh.f64 x)))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (sinh.f64 x)))))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (sinh.f64 x)))))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x (sinh.f64 x)))) (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 x (sinh.f64 x)))))
(neg.f64 (log.f64 (/.f64 (sinh.f64 x) x)))
(neg.f64 (log.f64 (/.f64 (/.f64 (sinh.f64 x) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (sinh.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (log.f64 (*.f64 x (sinh.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (sinh.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)))) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) x)))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (sinh.f64 x) x)))
(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) x))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) x)))
(+.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) x)) #s(literal 0 binary64))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sinh.f64 x)))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))))
(+.f64 (log.f64 (pow.f64 (.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (.f64 x (sinh.f64 x)) #s(literal -1/2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) x))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (sinh.f64 x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sinh.f64 x)))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x)))))
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) (log.f64 x))
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 (sinh.f64 x)))
(-.f64 (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)))) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 (/.f64 (log.f64 (pow.f64 (.f64 x (sinh.f64 x)) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (log.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (log.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 x (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 (log.f64 (.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x))) #s(literal 1 binary64)) (/.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (log.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (sinh.f64 x)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (log.f64 (.f64 x (sinh.f64 x))))))) (/.f64 (pow.f64 (log.f64 (.f64 x (sinh.f64 x))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (sinh.f64 x))))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.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)) (+.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (sinh.f64 x))))))
(neg.f64 (log.f64 (*.f64 x (sinh.f64 x))))
(neg.f64 (log.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sinh.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 x (sinh.f64 x)))))
(/.f64 (log.f64 (*.f64 x (sinh.f64 x))) #s(literal -1 binary64))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 x (sinh.f64 x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (.f64 x (sinh.f64 x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (log.f64 (.f64 x (sinh.f64 x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (.f64 x (sinh.f64 x))) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (log.f64 (.f64 x (sinh.f64 x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (.f64 x (sinh.f64 x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (log.f64 (.f64 x (sinh.f64 x))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (.f64 x (sinh.f64 x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (log.f64 (.f64 x (sinh.f64 x))))))
(pow.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 (*.f64 x (sinh.f64 x)))) #s(literal -1 binary64))
(.f64 (log.f64 (.f64 x (sinh.f64 x))) #s(literal -1 binary64))
(*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) x)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (log.f64 (.f64 x (sinh.f64 x))))

simplify335.0ms (2%)

Algorithm

1×	egg-herbie

Rules

5474×	`+-lowering-+.f64`
5474×	`+-lowering-+.f32`
4500×	`-lowering-.f32`
4500×	`-lowering-.f64`
1536×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	346	3879
1	1061	3687
2	3380	3636
0	8163	3636

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (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))
(* 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) (- (* 1/6480 (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 (* -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))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/6 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (* x (- (exp x) (/ 1 (exp x)))))
(* 1/2 (* x (- (exp x) (/ 1 (exp x)))))
(* 1/2 (* x (- (exp x) (/ 1 (exp x)))))
(* 1/2 (* x (- (exp x) (/ 1 (exp x)))))
(* 1/2 (* x (- (exp x) (/ 1 (exp x)))))
(* 1/2 (* x (- (exp x) (/ 1 (exp x)))))
(* 1/2 (* x (- (exp x) (/ 1 (exp x)))))
(* 1/2 (* x (- (exp x) (/ 1 (exp x)))))
0
0
0
0
0
0
0
0
0
0
0
0
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -1/2 (/ (- (* 1/90 (log x)) 1/36) (log x))) (* 1/72 (/ 1 (log x)))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (+ (* -1/2 (/ (- (* 1/90 (log x)) 1/36) (log x))) (* (pow x 2) (- (+ (* -1/2 (/ (+ 1/540 (* -2/2835 (log x))) (log x))) (* 1/2160 (/ 1 (log x)))) (* 1/12 (/ (- (* -1/2 (/ (- (* 1/90 (log x)) 1/36) (log x))) (* 1/72 (/ 1 (log x)))) (log x)))))) (* 1/72 (/ 1 (log x)))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (+ (* -1/2 (/ (- (* 1/90 (log x)) 1/36) (log x))) (* (pow x 2) (- (+ (* -1/2 (/ (+ 1/540 (* -2/2835 (log x))) (log x))) (+ (* 1/2160 (/ 1 (log x))) (* (pow x 2) (- (* -1/2 (/ (- (* 1/18900 (log x)) 101/680400) (log x))) (+ (* -1/360 (/ (- (* -1/2 (/ (- (* 1/90 (log x)) 1/36) (log x))) (* 1/72 (/ 1 (log x)))) (log x))) (+ (* 1/34020 (/ 1 (log x))) (* 1/12 (/ (- (+ (* -1/2 (/ (+ 1/540 (* -2/2835 (log x))) (log x))) (* 1/2160 (/ 1 (log x)))) (* 1/12 (/ (- (* -1/2 (/ (- (* 1/90 (log x)) 1/36) (log x))) (* 1/72 (/ 1 (log x)))) (log x)))) (log x))))))))) (* 1/12 (/ (- (* -1/2 (/ (- (* 1/90 (log x)) 1/36) (log x))) (* 1/72 (/ 1 (log x)))) (log x)))))) (* 1/72 (/ 1 (log x)))))))
(/ (* (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))) (+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x)))))))
(/ (* (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))) (+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x)))))))
(/ (* (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))) (+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x)))))))
(/ (* (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))) (+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x)))))))
(/ (* (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))) (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))))
(/ (* (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))) (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))))
(/ (* (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))) (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))))
(/ (* (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))) (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))))
(/ -1/2 (log x))
(- (* 1/24 (/ (pow x 2) (pow (log x) 2))) (* 1/2 (/ 1 (log x))))
(- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/720 (/ 1 (pow (log x) 2))) (* 1/288 (/ 1 (pow (log x) 3)))))) (* 1/24 (/ 1 (pow (log x) 2))))) (* 1/2 (/ 1 (log x))))
(- (* (pow x 2) (+ (* (pow x 2) (- (* (pow x 2) (- (+ (* 1/11340 (/ 1 (pow (log x) 2))) (* 1/8640 (/ 1 (pow (log x) 3)))) (* -1/12 (/ (+ (* 1/720 (/ 1 (pow (log x) 2))) (* 1/288 (/ 1 (pow (log x) 3)))) (log x))))) (+ (* 1/720 (/ 1 (pow (log x) 2))) (* 1/288 (/ 1 (pow (log x) 3)))))) (* 1/24 (/ 1 (pow (log x) 2))))) (* 1/2 (/ 1 (log x))))
(/ 1 (+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x)))))))
(/ 1 (+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x)))))))
(/ 1 (+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x)))))))
(/ 1 (+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x)))))))
(/ 1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))))
(/ 1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))))
(/ 1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))))
(/ 1 (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x))))
(* -1/3 (* (pow x 2) (log x)))
(* (pow x 2) (+ (* -1/3 (log x)) (* (pow x 2) (- (* 1/90 (log x)) 1/36))))
(* (pow x 2) (+ (* -1/3 (log x)) (* (pow x 2) (- (+ (* 1/90 (log x)) (* (pow x 2) (+ 1/540 (* -2/2835 (log x))))) 1/36))))
(* (pow x 2) (+ (* -1/3 (log x)) (* (pow x 2) (- (+ (* 1/90 (log x)) (* (pow x 2) (+ 1/540 (+ (* -2/2835 (log x)) (* (pow x 2) (- (* 1/18900 (log x)) 101/680400)))))) 1/36))))
(* (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* (+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))) (+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x)))))
(* (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* (+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))) (+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x)))))
(* 2 (log x))
(+ (* 1/6 (pow x 2)) (* 2 (log x)))
(+ (* 2 (log x)) (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2)))))
(+ (* 2 (log x)) (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180)))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(+ (log (* 1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(+ (log (* -1/2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(* 1/2835 x)
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(* -1/37800 (pow x 3))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* -1/37800 (pow x 3))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* 1/2835 (pow x 2))
(* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))
(* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))
(* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))
(* -1/37800 (pow x 4))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* -1/37800 (pow x 4))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
(* 1/120 (pow x 2))
1/6
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(+ 1/6 (* 1/120 (pow x 2)))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (pow x 2))
(* (pow x 2) (- (* -1/6 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* -1/120 (pow x 2)) 1/6)) 1))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/5040 (pow x 2)) 1/120)) 1/6)) 1))
(* -1/2 (* x (- (exp x) (/ 1 (exp x)))))
(* -1/2 (* x (- (exp x) (/ 1 (exp x)))))
(* -1/2 (* x (- (exp x) (/ 1 (exp x)))))
(* -1/2 (* x (- (exp x) (/ 1 (exp x)))))
(* -1/2 (* x (- (exp x) (/ 1 (exp x)))))
(* -1/2 (* x (- (exp x) (/ 1 (exp x)))))
(* -1/2 (* x (- (exp x) (/ 1 (exp x)))))
(* -1/2 (* x (- (exp x) (/ 1 (exp x)))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/180 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/180 (* (pow x 2) (- (* 1/37800 (pow x 2)) 1/2835)))) 1/6))
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(+ (log (/ 2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ 1 x))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(* -2 (log x))
(+ (* -2 (log x)) (* -1/6 (pow x 2)))
(+ (* -2 (log x)) (* (pow x 2) (- (* 1/180 (pow x 2)) 1/6)))
(+ (* -2 (log x)) (* (pow x 2) (- (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2)))) 1/6)))
(+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x))))))
(+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x))))))
(+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x))))))
(+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x))))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 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 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 (* -1/37800 (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 -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 (.f64 x 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 (.f64 x 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 (.f64 x 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 (.f64 x x) (*.f64 x x)))))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/180 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (*.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 (* -1/37800 (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) (+.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))
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(+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -2 (log x))
(*.f64 (log.f64 x) #s(literal -2 binary64))
(+ (* -2 (log x)) (* -1/6 (pow x 2)))
(+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (*.f64 (log.f64 x) #s(literal -2 binary64)))
(+ (* -2 (log x)) (* (pow x 2) (- (* 1/180 (pow x 2)) 1/6)))
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 1/180 binary64))))) (*.f64 (log.f64 x) #s(literal -2 binary64)))
(+ (* -2 (log x)) (* (pow x 2) (- (* (pow x 2) (+ 1/180 (* -1/2835 (pow x 2)))) 1/6)))
(+.f64 (.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)))))))) (*.f64 (log.f64 x) #s(literal -2 binary64)))
(+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x))))))
(-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) (log.f64 x))
(+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x))))))
(-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) (log.f64 x))
(+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x))))))
(-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) (log.f64 x))
(+ (log (/ 1 x)) (log (/ 2 (- (exp x) (/ 1 (exp x))))))
(-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) (log.f64 x))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))))
(+ (log (/ -2 (- (exp x) (/ 1 (exp x))))) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal -2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))))))

eval194.0ms (1.1%)

Compiler: Compiled 37295 to 4521 computations (87.9% saved)

prune271.0ms (1.6%)

Pruning

35 alts after pruning (32 fresh and 3 done)

	Pruned	Kept	Total
New	1396	20	1416
Fresh	2	12	14
Picked	3	2	5
Done	0	1	1
Total	1401	35	1436

Accuracy

98.2%

Counts

1436 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.6%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))) #s(literal 3 binary64))) (+.f64 (.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 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x)))) (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x)))) (.f64 (/.f64 (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)))))))
	9.6%	(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))) (log.f64 (.f64 (.f64 x (sinh.f64 x)) (*.f64 x x))))
	53.0%	(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 (sinh.f64 x))))
	53.1%	(/.f64 (-.f64 (.f64 (log.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) x))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (log.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 2 binary64))))
▶	95.8%	(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))))
	95.8%	(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))) #s(literal 1/6 binary64)))))
	53.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x))))
	53.2%	(-.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 2 binary64)))
	53.0%	(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
▶	95.9%	(+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
▶	53.1%	(+.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))))
	9.8%	(.f64 (/.f64 #s(literal -1 binary64) (log.f64 (.f64 x (sinh.f64 x)))) (.f64 (log.f64 (.f64 x (sinh.f64 x))) (log.f64 (/.f64 x (sinh.f64 x)))))
	51.5%	(.f64 (.f64 (+.f64 (.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 #s(literal 2 binary64) (log.f64 x))) (log.f64 (/.f64 x (sinh.f64 x)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 x) x)))))
	9.7%	(.f64 (.f64 (log.f64 (.f64 (sinh.f64 x) x)) (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (log.f64 (.f64 x (sinh.f64 x))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) x)))))
	95.4%	(.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 1/6480 binary64)))))))
▶	94.3%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	95.9%	(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))))) x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))))))
	95.9%	(.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))) #s(literal 1/6 binary64))))))
	95.8%	(.f64 x (-.f64 (/.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))))))
	95.9%	(.f64 x (.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))) #s(literal 1/36 binary64)) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))) #s(literal 1/6 binary64)))))
	95.8%	(.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)))))))
✓	95.9%	(.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))))))))))
	95.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
	95.9%	(.f64 x (.f64 x (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))))))))
	27.9%	(.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 0 binary64)) (*.f64 x x)))
	16.4%	(.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 0 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 x x) #s(literal 0 binary64))))))
✓	94.3%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
	8.6%	(neg.f64 (log.f64 (/.f64 x (/.f64 (*.f64 x (sinh.f64 x)) x))))
	53.2%	(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
	95.5%	(log1p.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
	8.6%	(log.f64 (/.f64 (/.f64 (*.f64 x (sinh.f64 x)) x) x))
✓	53.2%	(log.f64 (/.f64 (sinh.f64 x) x))
	50.5%	(log.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)))
▶	51.6%	(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))))))))
	2.1%	(log.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64)))))

Compiler

Compiled 2174 to 851 computations (60.9% saved)

simplify235.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (sinh.f64 x) x)
✓	cost-diff	64	(pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64))
✓	cost-diff	64	(log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64)))
✓	cost-diff	19456	(+.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))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))
✓	cost-diff	128	(log.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))
✓	cost-diff	0	(-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))))))
✓	cost-diff	0	(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))))
✓	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 #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 -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x x))
✓	cost-diff	256	(+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))

Rules

3028×	`-lowering-.f32`
3028×	`-lowering-.f64`
1752×	`fma-lowering-fma.f32`
1752×	`fma-lowering-fma.f64`
1488×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	548
1	129	494
2	486	479
3	1906	469
4	4148	469
5	7188	469
0	8277	469

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))) (* x x)) (* 1/6 (* x x)))
(* (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))) (* x x))
(* 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)))))
-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)
(* x x)
-1/37800
(* 1/6 (* x x))
1/6
(* (* x 1/6) x)
(* x 1/6)
x
1/6
(/ (* (* x x) (- 1/36 (* (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))) (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))))) (- 1/6 (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))))
(* (* x x) (- 1/36 (* (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))) (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))))))
(* x x)
x
(- 1/36 (* (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))) (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))))
1/36
(* (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))) (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))))
(* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))
(* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))
(+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))
-1/180
(* x (* x (+ 1/2835 (* (* x x) -1/37800))))
(* x (+ 1/2835 (* (* x x) -1/37800)))
(+ 1/2835 (* (* x x) -1/37800))
1/2835
(* (* x x) -1/37800)
-1/37800
(- 1/6 (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))))
1/6
(log (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))))
(+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))))
1
(* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))
(* x x)
x
(+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040))))
1/6
(* (* x x) (+ 1/120 (* (* x x) 1/5040)))
(+ 1/120 (* (* x x) 1/5040))
1/120
(* (* x x) 1/5040)
1/5040
(+ (log (pow (/ (sinh x) x) 1/2)) (log (pow (/ (sinh x) x) 1/2)))
(log (pow (/ (sinh x) x) 1/2))
(pow (/ (sinh x) x) 1/2)
(/ (sinh x) x)
(sinh x)
x
1/2

Outputs
(+ (* (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))) (* x x)) (* 1/6 (* x x)))
(.f64 (.f64 x x) (+.f64 (.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 -1/37800 binary64))))))) #s(literal 1/6 binary64)))
(* (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))) (* x x))
(.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))) (.f64 x (.f64 x x))))
(* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))
(.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 -1/37800 binary64)))))))
x
(* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))
(.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))
(+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))
(+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))
-1/180
#s(literal -1/180 binary64)
(* x (* x (+ 1/2835 (* (* x x) -1/37800))))
(.f64 (.f64 x 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))
(* x x)
(*.f64 x x)
-1/37800
#s(literal -1/37800 binary64)
(* 1/6 (* x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* (* x 1/6) x)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
x
1/6
#s(literal 1/6 binary64)
(/ (* (* x x) (- 1/36 (* (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))) (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))))) (- 1/6 (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))))
(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))) (.f64 (-.f64 #s(literal 1/180 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))) (.f64 x (.f64 x x)))))))) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/180 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))
(* (* x x) (- 1/36 (* (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))) (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))) (.f64 (-.f64 #s(literal 1/180 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))) (.f64 x (*.f64 x x))))))))
(* x x)
(*.f64 x x)
x
(- 1/36 (* (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))) (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))))
(+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))) (.f64 (-.f64 #s(literal 1/180 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))) (.f64 x (*.f64 x x))))))
1/36
#s(literal 1/36 binary64)
(* (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))) (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))))
(.f64 (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))) (.f64 x (.f64 x (*.f64 x x))))
(* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))
(.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 -1/37800 binary64)))))))
(* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))
(.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))
(+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))
(+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))
-1/180
#s(literal -1/180 binary64)
(* x (* x (+ 1/2835 (* (* x x) -1/37800))))
(.f64 (.f64 x 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)
(- 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 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))
1/6
#s(literal 1/6 binary64)
(log (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))))
(log1p.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))
(+ 1 (* (* 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 x (.f64 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 x (.f64 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 x (.f64 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 x (.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)
(+ (log (pow (/ (sinh x) x) 1/2)) (log (pow (/ (sinh x) x) 1/2)))
(*.f64 (log.f64 (sqrt.f64 (/.f64 (sinh.f64 x) x))) #s(literal 2 binary64))
(log (pow (/ (sinh x) x) 1/2))
(log.f64 (sqrt.f64 (/.f64 (sinh.f64 x) x)))
(pow (/ (sinh x) x) 1/2)
(sqrt.f64 (/.f64 (sinh.f64 x) x))
(/ (sinh x) x)
(/.f64 (sinh.f64 x) x)
(sinh x)
(sinh.f64 x)
x
1/2
#s(literal 1/2 binary64)

localize764.0ms (4.5%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (sinh.f64 x) x)
✓	accuracy	100.0%	(+.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))))
✓	accuracy	100.0%	(sinh.f64 x)
✓	accuracy	53.2%	(log.f64 (pow.f64 (/.f64 (sinh.f64 x) x) #s(literal 1/2 binary64)))
✓	accuracy	99.8%	(.f64 (.f64 x x) #s(literal 1/5040 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))
✓	accuracy	55.1%	(log.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))
✓	accuracy	99.7%	(.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))))))
✓	accuracy	99.7%	(.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))
✓	accuracy	99.6%	(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))))
✓	accuracy	99.4%	(.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
✓	accuracy	99.8%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal -1/37800 binary64))
✓	accuracy	99.7%	(.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))
✓	accuracy	99.7%	(.f64 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))))

Results

520.0ms	178×	2	valid
84.0ms	61×	1	valid
8.0ms	17×	0	valid

Compiler

Compiled 565 to 41 computations (92.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 433.0ms

ival-log: 104.0ms (24% of total)

ival-mult: 78.0ms (18% of total)

...c/correct-round.rkt:119:19: 72.0ms (16.6% of total)

ival-pow: 72.0ms (16.6% of total)

backward-pass: 44.0ms (10.2% of total)

ival-add: 37.0ms (8.5% of total)

ival-div: 10.0ms (2.3% of total)

ival-sinh: 9.0ms (2.1% of total)

ival-sub: 6.0ms (1.4% of total)

const: 1.0ms (0.2% of total)

series59.0ms (0.3%)

Counts

23 → 276

Calls

Call 1

Inputs
#<alt (+ (* (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))) (* x x)) (* 1/6 (* x x)))>
#<alt (* (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))) (* x x))>
#<alt (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))>
#<alt (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))>
#<alt (* (* x 1/6) x)>
#<alt (* x 1/6)>
#<alt (/ (* (* x x) (- 1/36 (* (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))) (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))))) (- 1/6 (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))))>
#<alt (* (* x x) (- 1/36 (* (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))) (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))))))>
#<alt (* x x)>
#<alt (- 1/36 (* (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))) (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))))>
#<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 (+ (log (pow (/ (sinh x) x) 1/2)) (log (pow (/ (sinh x) x) 1/2)))>
#<alt (log (pow (/ (sinh x) x) 1/2))>
#<alt (pow (/ (sinh x) x) 1/2)>
#<alt (/ (sinh x) x)>
#<alt (* x (+ 1/2835 (* (* x x) -1/37800)))>
#<alt (* x (* x (+ 1/2835 (* (* x x) -1/37800))))>
#<alt (* (* x x) -1/37800)>
#<alt (* (* x x) (+ 1/120 (* (* x x) 1/5040)))>
#<alt (* (* x x) 1/5040)>
#<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 (* -1/37800 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* (pow x 4) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))>
#<alt (* (pow x 4) (- (* (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))) (+ 1/37800 (/ 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))) (+ 1/37800 (/ 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 (* -1/180 x)>
#<alt (* x (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* x (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))>
#<alt (* x (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))>
#<alt (* -1/37800 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 5) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 5) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (* -1/37800 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* -1/37800 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))>
#<alt (* 1/36 (pow x 2))>
#<alt (* (pow x 2) (+ 1/36 (* -1/32400 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/36 (* (pow x 4) (- (* 1/255150 (pow x 2)) 1/32400))))>
#<alt (* (pow x 2) (+ 1/36 (* (pow x 4) (- (* (pow x 2) (+ 1/255150 (* -269/642978000 (pow x 2)))) 1/32400))))>
#<alt (* -1/1428840000 (pow x 14))>
#<alt (* (pow x 14) (- (* 1/53581500 (/ 1 (pow x 2))) 1/1428840000))>
#<alt (* (pow x 14) (- (* 1/53581500 (/ 1 (pow x 2))) (+ 1/1428840000 (/ 269/642978000 (pow x 4)))))>
#<alt (* (pow x 14) (- (+ (* 1/53581500 (/ 1 (pow x 2))) (* 1/255150 (/ 1 (pow x 6)))) (+ 1/1428840000 (/ 269/642978000 (pow x 4)))))>
#<alt (* -1/1428840000 (pow x 14))>
#<alt (* (pow x 14) (- (* 1/53581500 (/ 1 (pow x 2))) 1/1428840000))>
#<alt (* (pow x 14) (- (* 1/53581500 (/ 1 (pow x 2))) (+ 1/1428840000 (/ 269/642978000 (pow x 4)))))>
#<alt (* (pow x 14) (- (+ (* 1/53581500 (/ 1 (pow x 2))) (* 1/255150 (/ 1 (pow x 6)))) (+ 1/1428840000 (/ 269/642978000 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/36>
#<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 (* -269/642978000 (pow x 2)))) 1/32400)))>
#<alt (* -1/1428840000 (pow x 12))>
#<alt (* (pow x 12) (- (* 1/53581500 (/ 1 (pow x 2))) 1/1428840000))>
#<alt (* (pow x 12) (- (* 1/53581500 (/ 1 (pow x 2))) (+ 1/1428840000 (/ 269/642978000 (pow x 4)))))>
#<alt (* (pow x 12) (- (+ (* 1/53581500 (/ 1 (pow x 2))) (* 1/255150 (/ 1 (pow x 6)))) (+ 1/1428840000 (/ 269/642978000 (pow x 4)))))>
#<alt (* -1/1428840000 (pow x 12))>
#<alt (* (pow x 12) (- (* 1/53581500 (/ 1 (pow x 2))) 1/1428840000))>
#<alt (* (pow x 12) (- (* 1/53581500 (/ 1 (pow x 2))) (+ 1/1428840000 (/ 269/642978000 (pow x 4)))))>
#<alt (* (pow x 12) (- (+ (* 1/53581500 (/ 1 (pow x 2))) (* 1/255150 (/ 1 (pow x 6)))) (+ 1/1428840000 (/ 269/642978000 (pow x 4)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180))))>
#<alt (+ (log 1/5040) (* -6 (log (/ 1 x))))>
#<alt (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))>
#<alt (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))>
#<alt (+ (log 1/5040) (* -6 (log (/ -1 x))))>
#<alt (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))>
#<alt (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 1/5040 (pow x 6))>
#<alt (* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))>
#<alt (* 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 (* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))))>
#<alt (* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))))>
#<alt (* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))))>
#<alt (* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))))>
#<alt (* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))))>
#<alt (* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))))>
#<alt (* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))))>
#<alt (* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))))>
#<alt (* 1/12 (pow x 2))>
#<alt (* (pow x 2) (+ 1/12 (* -1/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/5670 (pow x 2)) 1/360))))>
#<alt (* (pow x 2) (+ 1/12 (* (pow x 2) (- (* (pow x 2) (+ 1/5670 (* -1/75600 (pow x 2)))) 1/360))))>
#<alt (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)))>
#<alt (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)))>
#<alt (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)))>
#<alt (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)))>
#<alt (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))))>
#<alt (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))))>
#<alt (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))))>
#<alt (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))))>
#<alt 1>
#<alt (+ 1 (* 1/12 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* 1/1440 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/1440 (* 1/24192 (pow x 2)))))))>
#<alt (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))>
#<alt (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))>
#<alt (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))>
#<alt (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))>
#<alt (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))>
#<alt (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))>
#<alt (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))>
#<alt (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))>
#<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 (* 1/2 (/ (- (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 (* 1/2835 x)>
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* x (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* -1/37800 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* -1/37800 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))>
#<alt (* 1/2835 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))>
#<alt (* -1/37800 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* -1/37800 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* -1/37800 (pow x 2))>
#<alt (* 1/120 (pow x 2))>
#<alt (* (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))>
#<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

69 calls:

Time	Variable		Point	Expression
23.0ms	x	@	-inf	(+ (log (pow (/ (sinh x) x) 1/2)) (log (pow (/ (sinh x) x) 1/2)))
23.0ms	x	@	inf	(+ (log (pow (/ (sinh x) x) 1/2)) (log (pow (/ (sinh x) x) 1/2)))
1.0ms	x	@	0	(pow (/ (sinh x) x) 1/2)
1.0ms	x	@	0	(log (+ 1 (* (* x x) (+ 1/6 (* (* x x) (+ 1/120 (* (* x x) 1/5040)))))))
1.0ms	x	@	0	(+ (log (pow (/ (sinh x) x) 1/2)) (log (pow (/ (sinh x) x) 1/2)))

rewrite488.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4060×	`-lowering-.f32`
4060×	`-lowering-.f64`
3038×	`/-lowering-/.f32`
3038×	`/-lowering-/.f64`
1928×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	279
1	264	243
2	2400	225
0	10144	225

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 506

Calls

Call 1

Inputs
(+ (* (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))) (* x x)) (* 1/6 (* x x)))
(* (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))) (* x x))
(* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))
(* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))
(* (* x 1/6) x)
(* x 1/6)
(/ (* (* x x) (- 1/36 (* (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))) (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))))) (- 1/6 (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))))
(* (* x x) (- 1/36 (* (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))) (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))))))
(* x x)
(- 1/36 (* (* 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 (* (* 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)))))
(+ (log (pow (/ (sinh x) x) 1/2)) (log (pow (/ (sinh x) x) 1/2)))
(log (pow (/ (sinh x) x) 1/2))
(pow (/ (sinh x) x) 1/2)
(/ (sinh x) x)
(* x (+ 1/2835 (* (* x x) -1/37800)))
(* x (* x (+ 1/2835 (* (* x x) -1/37800))))
(* (* x x) -1/37800)
(* (* x x) (+ 1/120 (* (* x x) 1/5040)))
(* (* x x) 1/5040)
(sinh x)

Outputs
(+.f64 (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64))))))) (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64))))))) (.f64 x (.f64 x x)))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 x (*.f64 x #s(literal -1/37800 binary64))))))))) #s(literal 1/6 binary64))))) #s(literal -1 binary64)))
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(+.f64 (.f64 (.f64 x x) #s(literal 1/2835 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/37800 binary64)))))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/37800 binary64)))) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))
(+.f64 (.f64 (.f64 x #s(literal 1/2835 binary64)) x) (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/37800 binary64)))) x))
(+.f64 (.f64 #s(literal 1/2835 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x #s(literal -1/37800 binary64))) (.f64 x x)))
(+.f64 (.f64 (.f64 x (.f64 x #s(literal -1/37800 binary64))) (.f64 x x)) (.f64 #s(literal 1/2835 binary64) (.f64 x x)))
(fma.f64 x (.f64 x #s(literal 1/2835 binary64)) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal -1/37800 binary64))))))
(fma.f64 #s(literal 1/2835 binary64) (.f64 x x) (.f64 (.f64 x (.f64 x #s(literal -1/37800 binary64))) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1/2835 binary64) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal -1/37800 binary64)))))
(fma.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/37800 binary64))) (.f64 (*.f64 x x) #s(literal 1/2835 binary64)))
(fma.f64 (.f64 x (.f64 x #s(literal -1/37800 binary64))) (.f64 x x) (.f64 #s(literal 1/2835 binary64) (*.f64 x x)))
(fma.f64 (.f64 x #s(literal 1/2835 binary64)) x (.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/37800 binary64)))) x))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/22785532875 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64))))) (+.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/37800 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -1/37800 binary64))) #s(literal 1/2835 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64)))) (-.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/22785532875 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/37800 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal -1/37800 binary64))) #s(literal 1/2835 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/1428840000 binary64))))) (neg.f64 (-.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 x #s(literal 1/2835 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/37800 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x (.f64 x #s(literal 1/2835 binary64))) (.f64 x (.f64 x #s(literal 1/2835 binary64)))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/37800 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/37800 binary64)))))) (.f64 (.f64 x (.f64 x #s(literal 1/2835 binary64))) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal -1/37800 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/2835 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/37800 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2835 binary64)) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/37800 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/37800 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal 1/2835 binary64)) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal -1/37800 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/37800 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x x) #s(literal 1/2835 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/37800 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/37800 binary64))))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/2835 binary64)) (.f64 (.f64 x x) #s(literal 1/2835 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal -1/37800 binary64)))) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x #s(literal 1/2835 binary64)) x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/37800 binary64)))) x) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x #s(literal 1/2835 binary64)) x) (.f64 (.f64 x #s(literal 1/2835 binary64)) x)) (-.f64 (.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/37800 binary64)))) x) (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/37800 binary64)))) x)) (.f64 (.f64 (.f64 x #s(literal 1/2835 binary64)) x) (.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/37800 binary64)))) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2835 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (.f64 x #s(literal -1/37800 binary64))) (.f64 x x)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 1/2835 binary64) (.f64 x x)) (.f64 #s(literal 1/2835 binary64) (.f64 x x))) (-.f64 (.f64 (.f64 (.f64 x (.f64 x #s(literal -1/37800 binary64))) (.f64 x x)) (.f64 (.f64 x (.f64 x #s(literal -1/37800 binary64))) (.f64 x x))) (.f64 (.f64 #s(literal 1/2835 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x #s(literal -1/37800 binary64))) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x (.f64 x #s(literal -1/37800 binary64))) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2835 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x #s(literal -1/37800 binary64))) (.f64 x x)) (.f64 (.f64 x (.f64 x #s(literal -1/37800 binary64))) (.f64 x x))) (-.f64 (.f64 (.f64 #s(literal 1/2835 binary64) (.f64 x x)) (.f64 #s(literal 1/2835 binary64) (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x #s(literal -1/37800 binary64))) (.f64 x x)) (.f64 #s(literal 1/2835 binary64) (*.f64 x x))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64)))))
(.f64 (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64))))) x)
(.f64 x (.f64 x #s(literal -1/37800 binary64)))
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
(.f64 #s(literal -1/37800 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -1/37800 binary64)) x)
(+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (.f64 x (.f64 x #s(literal 1/120 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 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 x (.f64 x #s(literal 1/120 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 (.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)))))))
(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 (.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 #s(literal 1/120 binary64) x) x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal 1/5040 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 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (-.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 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (.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 #s(literal -1/5040 binary64) (.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal 1/1728000 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/128024064000 binary64)))) (.f64 x x)) (+.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.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 #s(literal -1/5040 binary64) (.f64 x x))))
(/.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 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (-.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 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (.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 #s(literal -1/5040 binary64) (.f64 x x)))))
(/.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 #s(literal -1/5040 binary64) (.f64 x x)))))
(/.f64 (+.f64 (.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 #s(literal 1/1728000 binary64) (.f64 (.f64 x x) (.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 (.f64 x (.f64 x #s(literal 1/120 binary64))) (.f64 x (.f64 x #s(literal 1/120 binary64)))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/5040 binary64)))) (.f64 x (*.f64 x #s(literal 1/120 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)
(.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)
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)))
(sinh.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 x) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))

simplify315.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

4306×	`-lowering-.f32`
4306×	`-lowering-.f64`
2170×	`+-lowering-+.f64`
2170×	`+-lowering-+.f32`
1720×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	243	2895
1	672	2804
2	1944	2755
3	6256	2751
0	8077	2751

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) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/2835 (pow x 2)) 1/180))
(* (pow x 4) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))
(* (pow x 4) (- (* (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))) (+ 1/37800 (/ 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))) (+ 1/37800 (/ 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)))))
(* -1/180 x)
(* x (- (* 1/2835 (pow x 2)) 1/180))
(* x (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))
(* x (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))
(* -1/37800 (pow x 5))
(* (pow x 5) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 5) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 5) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 5))
(* -1 (* (pow x 5) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 1/37800 (/ 1/180 (pow x 4))) (* 1/2835 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* -1/37800 (pow x 8))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(* 1/36 (pow x 2))
(* (pow x 2) (+ 1/36 (* -1/32400 (pow x 4))))
(* (pow x 2) (+ 1/36 (* (pow x 4) (- (* 1/255150 (pow x 2)) 1/32400))))
(* (pow x 2) (+ 1/36 (* (pow x 4) (- (* (pow x 2) (+ 1/255150 (* -269/642978000 (pow x 2)))) 1/32400))))
(* -1/1428840000 (pow x 14))
(* (pow x 14) (- (* 1/53581500 (/ 1 (pow x 2))) 1/1428840000))
(* (pow x 14) (- (* 1/53581500 (/ 1 (pow x 2))) (+ 1/1428840000 (/ 269/642978000 (pow x 4)))))
(* (pow x 14) (- (+ (* 1/53581500 (/ 1 (pow x 2))) (* 1/255150 (/ 1 (pow x 6)))) (+ 1/1428840000 (/ 269/642978000 (pow x 4)))))
(* -1/1428840000 (pow x 14))
(* (pow x 14) (- (* 1/53581500 (/ 1 (pow x 2))) 1/1428840000))
(* (pow x 14) (- (* 1/53581500 (/ 1 (pow x 2))) (+ 1/1428840000 (/ 269/642978000 (pow x 4)))))
(* (pow x 14) (- (+ (* 1/53581500 (/ 1 (pow x 2))) (* 1/255150 (/ 1 (pow x 6)))) (+ 1/1428840000 (/ 269/642978000 (pow x 4)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/36
(+ 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 (* -269/642978000 (pow x 2)))) 1/32400)))
(* -1/1428840000 (pow x 12))
(* (pow x 12) (- (* 1/53581500 (/ 1 (pow x 2))) 1/1428840000))
(* (pow x 12) (- (* 1/53581500 (/ 1 (pow x 2))) (+ 1/1428840000 (/ 269/642978000 (pow x 4)))))
(* (pow x 12) (- (+ (* 1/53581500 (/ 1 (pow x 2))) (* 1/255150 (/ 1 (pow x 6)))) (+ 1/1428840000 (/ 269/642978000 (pow x 4)))))
(* -1/1428840000 (pow x 12))
(* (pow x 12) (- (* 1/53581500 (/ 1 (pow x 2))) 1/1428840000))
(* (pow x 12) (- (* 1/53581500 (/ 1 (pow x 2))) (+ 1/1428840000 (/ 269/642978000 (pow x 4)))))
(* (pow x 12) (- (+ (* 1/53581500 (/ 1 (pow x 2))) (* 1/255150 (/ 1 (pow x 6)))) (+ 1/1428840000 (/ 269/642978000 (pow x 4)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -53/1814400 (pow x 2)))) 1/180))))
(+ (log 1/5040) (* -6 (log (/ 1 x))))
(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2)))))
(- (+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))
(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))
(+ (log 1/5040) (* -6 (log (/ -1 x))))
(+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2)))))
(- (+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (* 42 (/ 1 (pow x 2))))) (/ 42 (pow x 4)))
(+ (log 1/5040) (+ (* -6 (log (/ -1 x))) (+ (* -1 (/ (+ 42 (* 5544 (/ 1 (pow x 2)))) (pow x 4))) (* 42 (/ 1 (pow x 2))))))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2)))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (+ (* 1/120 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 1/5040 (pow x 6))
(* (pow x 6) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/5040 (+ (/ 1/6 (pow x 4)) (* 1/120 (/ 1 (pow x 2))))))
(* 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))))
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))))
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))))
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))))
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))))
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))))
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))))
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))))
(* 2 (log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))))
(* 1/12 (pow x 2))
(* (pow x 2) (+ 1/12 (* -1/360 (pow x 2))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (- (* 1/5670 (pow x 2)) 1/360))))
(* (pow x 2) (+ 1/12 (* (pow x 2) (- (* (pow x 2) (+ 1/5670 (* -1/75600 (pow x 2)))) 1/360))))
(log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)))
(log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)))
(log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)))
(log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2)))
(log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))))
(log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))))
(log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))))
(log (* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2))))
1
(+ 1 (* 1/12 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/12 (* 1/1440 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/12 (* (pow x 2) (+ 1/1440 (* 1/24192 (pow x 2)))))))
(* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))
(* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))
(* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))
(* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (sqrt 1/2))
(* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))
(* (sqrt (/ (- (exp x) (/ 1 (exp x))) x)) (* (sqrt -1) (sqrt -1/2)))
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)))))))
(* 1/2 (/ (- (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))
(* 1/2835 x)
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(* -1/37800 (pow x 3))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* -1/37800 (pow x 3))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(* 1/2835 (pow x 2))
(* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))
(* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))
(* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2))))
(* -1/37800 (pow x 4))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* -1/37800 (pow x 4))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* (pow x 4) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* -1/37800 (pow x 2))
(* 1/120 (pow x 2))
(* (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))
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 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))
(* -1/37800 (pow x 8))
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/2835 binary64) (.f64 x x))))
(* (pow x 8) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (-.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 8) (- (+ (* 1/2835 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6)))) (+ 1/37800 (/ 1/180 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (/.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 (/.f64 #s(literal 1/2835 binary64) (.f64 x x)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal -1/37800 binary64) (/.f64 #s(literal 1/180 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -1/180 (pow x 4))
(.f64 x (.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 1/2835 (pow x 2)) 1/180))
(.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))))
(* (pow x 4) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))
(.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))
(.f64 (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))) (.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))) (+ 1/37800 (/ 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)))))))
(* -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))) (+ 1/37800 (/ 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)))))))
(* -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) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))
(.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))
(* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))
(.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))
(* -1/37800 (pow x 6))
(*.f64 #s(literal -1/37800 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 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 6 binary64)))
(* (pow x 6) (- (* 1/2835 (/ 1 (pow x 2))) (+ 1/37800 (/ 1/180 (pow x 4)))))
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(* 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 x (.f64 (.f64 x x) #s(literal 1/5040 binary64))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (.f64 x (*.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 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (+ 1/5040 (* 1/120 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 x x))) (.f64 x (.f64 x (*.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))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(.f64 x (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))

eval2.3s (13.3%)

Compiler: Compiled 85066 to 3744 computations (95.6% saved)

prune185.0ms (1.1%)

Pruning

35 alts after pruning (31 fresh and 4 done)

	Pruned	Kept	Total
New	1511	13	1524
Fresh	9	18	27
Picked	4	1	5
Done	0	3	3
Total	1524	35	1559

Accuracy

98.2%

Counts

1559 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.6%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))) #s(literal 3 binary64))) (+.f64 (.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 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x)))) (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x)))) (.f64 (/.f64 (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)))))))
	9.6%	(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))) (log.f64 (.f64 (.f64 x (sinh.f64 x)) (*.f64 x x))))
	53.0%	(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 (sinh.f64 x))))
	96.3%	(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal -1/32400 binary64) (.f64 (.f64 x x) #s(literal 1/255150 binary64))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))
	95.3%	(/.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))
▶	96.3%	(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal -1/32400 binary64) (.f64 (.f64 x x) #s(literal 1/255150 binary64))) (.f64 x (.f64 x (.f64 x x))))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))
	95.3%	(/.f64 (.f64 x (.f64 x #s(literal 1/36 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))
	95.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64))))))))) #s(literal 1/6 binary64)))))
	53.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x))))
	96.1%	(-.f64 (log1p.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))))) (log1p.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) #s(literal 1 binary64)))))
	53.2%	(-.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 2 binary64)))
	53.0%	(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
	95.0%	(+.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
▶	95.8%	(+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
▶	3.3%	(+.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))))
	9.8%	(.f64 (/.f64 #s(literal -1 binary64) (log.f64 (.f64 x (sinh.f64 x)))) (.f64 (log.f64 (.f64 x (sinh.f64 x))) (log.f64 (/.f64 x (sinh.f64 x)))))
	95.9%	(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64))))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64))))))) (.f64 x (.f64 x x)))))) (/.f64 (.f64 x x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 x (*.f64 x #s(literal -1/37800 binary64))))))))))))
	9.7%	(.f64 (.f64 (log.f64 (.f64 (sinh.f64 x) x)) (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (log.f64 (.f64 x (sinh.f64 x))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) x)))))
	95.8%	(.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)))))))
	95.4%	(.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 1/6480 binary64)))))))
✓	94.3%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	95.9%	(.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))) #s(literal 1/6 binary64))))))
	95.8%	(.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)))))))
✓	95.9%	(.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))))))))))
	95.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
	27.9%	(.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 0 binary64)) (*.f64 x x)))
✓	94.3%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
	8.6%	(neg.f64 (log.f64 (/.f64 x (/.f64 (*.f64 x (sinh.f64 x)) x))))
	95.5%	(log1p.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
	96.1%	(log1p.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))))
	8.6%	(log.f64 (/.f64 (/.f64 (*.f64 x (sinh.f64 x)) x) x))
✓	53.2%	(log.f64 (/.f64 (sinh.f64 x) x))
▶	50.5%	(log.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)))
	2.1%	(log.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
▶	48.1%	#s(literal 0 binary64)

Compiler

Compiled 1744 to 825 computations (52.7% saved)

simplify153.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 6 binary64) (log.f64 x))
✓	cost-diff	0	(+.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (/.f64 #s(literal 42 binary64) (.f64 x x)))
✓	cost-diff	0	(log.f64 #s(literal 1/5040 binary64))
✓	cost-diff	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))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	cost-diff	0	(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
✓	cost-diff	128	(log.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 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 -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x x))
✓	cost-diff	256	(+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
✓	cost-diff	0	(+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal -1/32400 binary64) (.f64 (.f64 x x) #s(literal 1/255150 binary64))) (.f64 x (.f64 x (.f64 x x)))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal -1/32400 binary64) (.f64 (.f64 x x) #s(literal 1/255150 binary64))) (.f64 x (.f64 x (*.f64 x x))))))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal -1/32400 binary64) (.f64 (.f64 x x) #s(literal 1/255150 binary64))) (.f64 x (.f64 x (.f64 x x)))))))
✓	cost-diff	0	(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal -1/32400 binary64) (.f64 (.f64 x x) #s(literal 1/255150 binary64))) (.f64 x (.f64 x (.f64 x x))))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))

Rules

2418×	`fma-lowering-fma.f32`
2418×	`fma-lowering-fma.f64`
2270×	`sum3-define`
1778×	`fmsub-define`
1700×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	372
1	131	326
2	402	324
3	1120	324
4	2904	324
5	5236	324
0	8618	324

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (* x (* x (+ 1/36 (* (+ -1/32400 (* (* x x) 1/255150)) (* x (* x (* x x))))))) (- 1/6 (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))))
(* x (* x (+ 1/36 (* (+ -1/32400 (* (* x x) 1/255150)) (* x (* x (* x x)))))))
x
(* x (+ 1/36 (* (+ -1/32400 (* (* x x) 1/255150)) (* x (* x (* x x))))))
(+ 1/36 (* (+ -1/32400 (* (* x x) 1/255150)) (* x (* x (* x x)))))
1/36
(* (+ -1/32400 (* (* x x) 1/255150)) (* x (* x (* x x))))
(+ -1/32400 (* (* x x) 1/255150))
-1/32400
(* (* x x) 1/255150)
(* x x)
1/255150
(* x (* x (* x x)))
(* x (* x x))
(- 1/6 (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))))
1/6
(* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))
(* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))
(+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))
-1/180
(* x (* x (+ 1/2835 (* (* x x) -1/37800))))
(* x (+ 1/2835 (* (* x x) -1/37800)))
(+ 1/2835 (* (* x x) -1/37800))
1/2835
(* (* x x) -1/37800)
-1/37800
0
(+ (* (* x (* x (+ -1/180 (* (* x x) 1/2835)))) (* x x)) (* 1/6 (* x x)))
(* (* x (* x (+ -1/180 (* (* x x) 1/2835)))) (* x x))
(* x (* x (+ -1/180 (* (* x x) 1/2835))))
x
(* x (+ -1/180 (* (* x x) 1/2835)))
(+ -1/180 (* (* x x) 1/2835))
-1/180
(* (* x x) 1/2835)
(* x x)
1/2835
(* 1/6 (* x x))
1/6
(log (+ (* 1/6 (* x x)) 1))
(+ (* 1/6 (* x x)) 1)
(* 1/6 (* x x))
1/6
(* x x)
x
1
(+ (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 (* x (+ 1/36 (* (+ -1/32400 (* (* x x) 1/255150)) (* x (* x (* x x))))))) (- 1/6 (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal -1/32400 binary64) (.f64 (.f64 x x) #s(literal 1/255150 binary64))) (.f64 x (.f64 x (.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 (+ 1/36 (* (+ -1/32400 (* (* x x) 1/255150)) (* x (* x (* x x)))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal -1/32400 binary64) (.f64 (.f64 x x) #s(literal 1/255150 binary64))) (.f64 x (.f64 x (.f64 x x))))))
x
(* x (+ 1/36 (* (+ -1/32400 (* (* x x) 1/255150)) (* x (* x (* x x))))))
(.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal -1/32400 binary64) (.f64 (.f64 x x) #s(literal 1/255150 binary64))) (.f64 x (.f64 x (*.f64 x x))))))
(+ 1/36 (* (+ -1/32400 (* (* x x) 1/255150)) (* x (* x (* x x)))))
(+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal -1/32400 binary64) (.f64 (.f64 x x) #s(literal 1/255150 binary64))) (.f64 x (.f64 x (.f64 x x)))))
1/36
#s(literal 1/36 binary64)
(* (+ -1/32400 (* (* x x) 1/255150)) (* x (* x (* x x))))
(.f64 (+.f64 #s(literal -1/32400 binary64) (.f64 (.f64 x x) #s(literal 1/255150 binary64))) (.f64 x (.f64 x (.f64 x x))))
(+ -1/32400 (* (* x x) 1/255150))
(+.f64 #s(literal -1/32400 binary64) (.f64 (.f64 x x) #s(literal 1/255150 binary64)))
-1/32400
#s(literal -1/32400 binary64)
(* (* x x) 1/255150)
(.f64 (.f64 x x) #s(literal 1/255150 binary64))
(* x x)
(*.f64 x x)
1/255150
#s(literal 1/255150 binary64)
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(- 1/6 (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))))
(+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))
1/6
#s(literal 1/6 binary64)
(* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))
(.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))
(* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800))))))
(.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))
(+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))
(+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))
-1/180
#s(literal -1/180 binary64)
(* x (* x (+ 1/2835 (* (* x x) -1/37800))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))
(* x (+ 1/2835 (* (* x x) -1/37800)))
(.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))
(+ 1/2835 (* (* x x) -1/37800))
(+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))
1/2835
#s(literal 1/2835 binary64)
(* (* x x) -1/37800)
(.f64 (.f64 x x) #s(literal -1/37800 binary64))
-1/37800
#s(literal -1/37800 binary64)
0
#s(literal 0 binary64)
(+ (* (* x (* x (+ -1/180 (* (* x x) 1/2835)))) (* x x)) (* 1/6 (* x x)))
(.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 (+ -1/180 (* (* x x) 1/2835)))) (* 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))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))
x
(* x (+ -1/180 (* (* x x) 1/2835)))
(.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (*.f64 x x) #s(literal 1/2835 binary64))))
(+ -1/180 (* (* x x) 1/2835))
(+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))
-1/180
#s(literal -1/180 binary64)
(* (* x x) 1/2835)
(.f64 (.f64 x x) #s(literal 1/2835 binary64))
(* x x)
(*.f64 x x)
1/2835
#s(literal 1/2835 binary64)
(* 1/6 (* x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(log (+ (* 1/6 (* x x)) 1))
(log1p.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(+ (* 1/6 (* x x)) 1)
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(* 1/6 (* x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* x x)
(*.f64 x x)
x
1
#s(literal 1 binary64)
(+ (log 1/5040) (+ (* 6 (log x)) (/ 42 (* x x))))
(+.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (+.f64 (log.f64 #s(literal 1/5040 binary64)) (/.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)

localize583.0ms (3.4%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	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	100.0%	(+.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (/.f64 #s(literal 42 binary64) (.f64 x x)))
✓	accuracy	99.7%	(/.f64 #s(literal 42 binary64) (*.f64 x x))
✓	accuracy	99.5%	(*.f64 #s(literal 6 binary64) (log.f64 x))
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	accuracy	55.1%	(log.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)))
✓	accuracy	99.7%	(.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64)))))
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
✓	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 x x) #s(literal 1/2835 binary64))
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 1/255150 binary64))
✓	accuracy	99.6%	(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal -1/32400 binary64) (.f64 (.f64 x x) #s(literal 1/255150 binary64))) (.f64 x (.f64 x (.f64 x x))))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal -1/32400 binary64) (.f64 (.f64 x x) #s(literal 1/255150 binary64))) (.f64 x (.f64 x (*.f64 x x))))))
✓	accuracy	99.4%	(.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))

Results

386.0ms	178×	2	valid
94.0ms	61×	1	valid
9.0ms	17×	0	valid

Compiler

Compiled 396 to 47 computations (88.1% saved)

Precisions

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

ival-mult: 84.0ms (25.4% of total)

ival-log: 84.0ms (25.4% of total)

...c/correct-round.rkt:119:19: 58.0ms (17.5% of total)

backward-pass: 56.0ms (16.9% of total)

ival-add: 33.0ms (10% of total)

ival-div: 10.0ms (3% of total)

ival-sub: 3.0ms (0.9% of total)

const: 1.0ms (0.3% of total)

series104.0ms (0.6%)

Counts

20 → 228

Calls

Call 1

Inputs
#<alt (/ (* x (* x (+ 1/36 (* (+ -1/32400 (* (* x x) 1/255150)) (* x (* x (* x x))))))) (- 1/6 (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))))>
#<alt (* x (* x (+ 1/36 (* (+ -1/32400 (* (* x x) 1/255150)) (* x (* x (* x x)))))))>
#<alt (* x (+ 1/36 (* (+ -1/32400 (* (* x x) 1/255150)) (* x (* x (* x x))))))>
#<alt (+ 1/36 (* (+ -1/32400 (* (* x x) 1/255150)) (* x (* x (* x x)))))>
#<alt (+ (* (* x (* x (+ -1/180 (* (* x x) 1/2835)))) (* x x)) (* 1/6 (* x x)))>
#<alt (* (* x (* x (+ -1/180 (* (* x x) 1/2835)))) (* x x))>
#<alt (* x (* x (+ -1/180 (* (* x x) 1/2835))))>
#<alt (* x (+ -1/180 (* (* x x) 1/2835)))>
#<alt (log (+ (* 1/6 (* x x)) 1))>
#<alt (+ (* 1/6 (* x x)) 1)>
#<alt (* 1/6 (* x x))>
#<alt (* x x)>
#<alt (+ (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 (+ 1/2835 (* (* x x) -1/37800)))>
#<alt (* (* x x) 1/255150)>
#<alt (* (* 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 (* -1/37800 (pow x 2)))) 1/180))))>
#<alt (* 4/27 (pow x 2))>
#<alt (* (pow x 2) (+ 4/27 (* 131/162 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 4/27 (* 131/162 (/ 1 (pow x 2)))) (/ 4940/243 (pow x 4))))>
#<alt (* (pow x 2) (+ 4/27 (+ (* -1 (/ (+ 4940/243 (* 236345/729 (/ 1 (pow x 2)))) (pow x 4))) (* 131/162 (/ 1 (pow x 2))))))>
#<alt (* 4/27 (pow x 2))>
#<alt (* (pow x 2) (+ 4/27 (* 131/162 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (+ 4/27 (* 131/162 (/ 1 (pow x 2)))) (/ 4940/243 (pow x 4))))>
#<alt (* (pow x 2) (+ 4/27 (+ (* -1 (/ (+ 4940/243 (* 236345/729 (/ 1 (pow x 2)))) (pow x 4))) (* 131/162 (/ 1 (pow x 2))))))>
#<alt (* 1/36 (pow x 2))>
#<alt (* (pow x 2) (+ 1/36 (* -1/32400 (pow x 4))))>
#<alt (* (pow x 2) (+ 1/36 (* (pow x 4) (- (* 1/255150 (pow x 2)) 1/32400))))>
#<alt (* (pow x 2) (+ 1/36 (* (pow x 4) (- (* 1/255150 (pow x 2)) 1/32400))))>
#<alt (* 1/255150 (pow x 8))>
#<alt (* (pow x 8) (- 1/255150 (* 1/32400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/255150 (/ 1/36 (pow x 6))) (* 1/32400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/255150 (/ 1/36 (pow x 6))) (* 1/32400 (/ 1 (pow x 2)))))>
#<alt (* 1/255150 (pow x 8))>
#<alt (* (pow x 8) (- 1/255150 (* 1/32400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/255150 (/ 1/36 (pow x 6))) (* 1/32400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 1/255150 (/ 1/36 (pow x 6))) (* 1/32400 (/ 1 (pow x 2)))))>
#<alt (* 1/36 x)>
#<alt (* x (+ 1/36 (* -1/32400 (pow x 4))))>
#<alt (* x (+ 1/36 (* (pow x 4) (- (* 1/255150 (pow x 2)) 1/32400))))>
#<alt (* x (+ 1/36 (* (pow x 4) (- (* 1/255150 (pow x 2)) 1/32400))))>
#<alt (* 1/255150 (pow x 7))>
#<alt (* (pow x 7) (- 1/255150 (* 1/32400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (- (+ 1/255150 (/ 1/36 (pow x 6))) (* 1/32400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (- (+ 1/255150 (/ 1/36 (pow x 6))) (* 1/32400 (/ 1 (pow x 2)))))>
#<alt (* 1/255150 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- (* 1/32400 (/ 1 (pow x 2))) 1/255150)))>
#<alt (* -1 (* (pow x 7) (- (* 1/32400 (/ 1 (pow x 2))) (+ 1/255150 (/ 1/36 (pow x 6))))))>
#<alt (* -1 (* (pow x 7) (- (* 1/32400 (/ 1 (pow x 2))) (+ 1/255150 (/ 1/36 (pow x 6))))))>
#<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) (- (* 1/255150 (pow x 2)) 1/32400)))>
#<alt (* 1/255150 (pow x 6))>
#<alt (* (pow x 6) (- 1/255150 (* 1/32400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/255150 (/ 1/36 (pow x 6))) (* 1/32400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/255150 (/ 1/36 (pow x 6))) (* 1/32400 (/ 1 (pow x 2)))))>
#<alt (* 1/255150 (pow x 6))>
#<alt (* (pow x 6) (- 1/255150 (* 1/32400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/255150 (/ 1/36 (pow x 6))) (* 1/32400 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/255150 (/ 1/36 (pow x 6))) (* 1/32400 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* 1/2835 (pow x 6))>
#<alt (* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* -1/180 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* (pow x 4) (- (* 1/2835 (pow x 2)) 1/180))>
#<alt (* (pow x 4) (- (* 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 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- 1/2835 (* 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 (* 1/180 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- 1/2835 (* 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 (* -1/180 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 (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -1/72 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/648 (pow x 2)) 1/72))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/648 (* -1/5184 (pow x 2)))) 1/72))))>
#<alt (+ (log 1/6) (* -2 (log (/ 1 x))))>
#<alt (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))>
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))>
#<alt (+ (log 1/6) (* -2 (log (/ -1 x))))>
#<alt (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))>
#<alt (- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (+ 1 (* 1/6 (pow x 2)))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 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 (* 1/2835 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 (* 1/255150 (pow x 2))>
#<alt (* 1/255150 (pow x 2))>
#<alt (* 1/255150 (pow x 2))>
#<alt (* 1/255150 (pow x 2))>
#<alt (* 1/255150 (pow x 2))>
#<alt (* 1/255150 (pow x 2))>
#<alt (* 1/255150 (pow x 2))>
#<alt (* 1/255150 (pow x 2))>
#<alt (* 1/255150 (pow x 2))>
#<alt (* 1/255150 (pow x 2))>
#<alt (* 1/255150 (pow x 2))>
#<alt (* 1/255150 (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 (/ 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

57 calls:

Time	Variable		Point	Expression
62.0ms	x	@	-inf	(* 6 (log x))
10.0ms	x	@	0	(* 6 (log x))
6.0ms	x	@	-inf	(+ (log 1/5040) (+ (* 6 (log x)) (/ 42 (* x x))))
6.0ms	x	@	inf	(* 6 (log x))
5.0ms	x	@	inf	(+ (log 1/5040) (+ (* 6 (log x)) (/ 42 (* x x))))

rewrite354.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3574×	`-lowering-.f32`
3574×	`-lowering-.f64`
3048×	`/-lowering-/.f32`
3048×	`/-lowering-/.f64`
2160×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	214
1	273	185
2	2461	183
0	8426	183

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 432

Calls

Call 1

Inputs
(/ (* x (* x (+ 1/36 (* (+ -1/32400 (* (* x x) 1/255150)) (* x (* x (* x x))))))) (- 1/6 (* x (* x (+ -1/180 (* x (* x (+ 1/2835 (* (* x x) -1/37800)))))))))
(* x (* x (+ 1/36 (* (+ -1/32400 (* (* x x) 1/255150)) (* x (* x (* x x)))))))
(* x (+ 1/36 (* (+ -1/32400 (* (* x x) 1/255150)) (* x (* x (* x x))))))
(+ 1/36 (* (+ -1/32400 (* (* x x) 1/255150)) (* x (* x (* x x)))))
(+ (* (* x (* x (+ -1/180 (* (* x x) 1/2835)))) (* x x)) (* 1/6 (* x x)))
(* (* x (* x (+ -1/180 (* (* x x) 1/2835)))) (* x x))
(* x (* x (+ -1/180 (* (* x x) 1/2835))))
(* x (+ -1/180 (* (* x x) 1/2835)))
(log (+ (* 1/6 (* x x)) 1))
(+ (* 1/6 (* x x)) 1)
(* 1/6 (* x x))
(* x x)
(+ (log 1/5040) (+ (* 6 (log x)) (/ 42 (* x x))))
(log 1/5040)
(+ (* 6 (log x)) (/ 42 (* x x)))
(* 6 (log x))
(* x (+ 1/2835 (* (* x x) -1/37800)))
(* (* x x) 1/255150)
(* (* x x) 1/2835)
(/ 42 (* x x))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (-.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 x (.f64 x #s(literal -1/37800 binary64))))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (*.f64 x #s(literal 1/255150 binary64))))))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64))))))))))) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 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) (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64))))))))))))
(neg.f64 (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 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) (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64))))))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64)))))))))) (-.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 x (.f64 x #s(literal -1/37800 binary64)))))))))))
(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64))))))))) (-.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 x (.f64 x #s(literal -1/37800 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) (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64))))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64)))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64))))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64)))))))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64))))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64)))))))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 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) (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 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) (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64))))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64))))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.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 x (.f64 x #s(literal -1/37800 binary64))))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64)))))))))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64))))))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64))))))))))))
(/.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64))))))))) #s(literal 1 binary64)) (-.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 x (*.f64 x #s(literal -1/37800 binary64))))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64)))))))))))) (neg.f64 (neg.f64 (-.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) (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64)))))))))))))
(/.f64 (neg.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64))))))))) #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) (+.f64 #s(literal 1/2835 binary64) (.f64 x (*.f64 x #s(literal -1/37800 binary64)))))))))))
(pow.f64 (/.f64 (-.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 x (.f64 x #s(literal -1/37800 binary64))))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64)))))))))) #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) (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64))))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64)))))))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64)))))))) (-.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 x (.f64 x #s(literal -1/37800 binary64)))))))))))
(.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64))))))) (/.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) (+.f64 #s(literal 1/2835 binary64) (.f64 x (*.f64 x #s(literal -1/37800 binary64))))))))))))
(.f64 (.f64 x x) (/.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64))))))) (-.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 x (.f64 x #s(literal -1/37800 binary64)))))))))))
(.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 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) (+.f64 #s(literal 1/2835 binary64) (.f64 x (*.f64 x #s(literal -1/37800 binary64))))))))))))
(.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64)))))))) (/.f64 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 x (.f64 x #s(literal -1/37800 binary64)))))))))))
(.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64))))))))) (/.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) (+.f64 #s(literal 1/2835 binary64) (.f64 x (*.f64 x #s(literal -1/37800 binary64)))))))))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64))))))))) (-.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 x (*.f64 x #s(literal -1/37800 binary64)))))))))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64)))))))))) (/.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) (+.f64 #s(literal 1/2835 binary64) (.f64 x (*.f64 x #s(literal -1/37800 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) (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64)))))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (*.f64 x #s(literal 1/255150 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) (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64)))))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (*.f64 x #s(literal 1/255150 binary64)))))))))) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x #s(literal 1/2835 binary64)) (.f64 x #s(literal 1/2835 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1/37800 binary64))) (.f64 (.f64 x x) (.f64 x #s(literal -1/37800 binary64)))))) (neg.f64 (-.f64 (.f64 x #s(literal 1/2835 binary64)) (.f64 (.f64 x x) (.f64 x #s(literal -1/37800 binary64))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1/22785532875 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64)))))) (neg.f64 (+.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/37800 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/37800 binary64))) #s(literal 1/2835 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1428840000 binary64))))) (neg.f64 (+.f64 #s(literal 1/2835 binary64) (.f64 #s(literal 1/37800 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1/22785532875 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/54010152000000 binary64)))) x)) (neg.f64 (+.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/37800 binary64))) (-.f64 (.f64 x (.f64 x #s(literal -1/37800 binary64))) #s(literal 1/2835 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/8037225 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1428840000 binary64))) x)) (neg.f64 (+.f64 #s(literal 1/2835 binary64) (.f64 #s(literal 1/37800 binary64) (*.f64 x x)))))
(.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 x (*.f64 x #s(literal -1/37800 binary64)))))
(.f64 (+.f64 #s(literal 1/2835 binary64) (.f64 x (*.f64 x #s(literal -1/37800 binary64)))) x)
(.f64 x (.f64 x #s(literal 1/255150 binary64)))
(.f64 (.f64 x x) #s(literal 1/255150 binary64))
(.f64 #s(literal 1/255150 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/255150 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 (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 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 #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 (/.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 1 binary64) (/.f64 #s(literal 42 binary64) (.f64 x x)))
(.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 (/.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))

simplify258.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

3814×	`-lowering-.f32`
3814×	`-lowering-.f64`
3104×	`+-lowering-+.f64`
3104×	`+-lowering-+.f32`
1722×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	198	2092
1	544	1991
2	1593	1963
3	4546	1963
0	8476	1963

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(* 4/27 (pow x 2))
(* (pow x 2) (+ 4/27 (* 131/162 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 4/27 (* 131/162 (/ 1 (pow x 2)))) (/ 4940/243 (pow x 4))))
(* (pow x 2) (+ 4/27 (+ (* -1 (/ (+ 4940/243 (* 236345/729 (/ 1 (pow x 2)))) (pow x 4))) (* 131/162 (/ 1 (pow x 2))))))
(* 4/27 (pow x 2))
(* (pow x 2) (+ 4/27 (* 131/162 (/ 1 (pow x 2)))))
(* (pow x 2) (- (+ 4/27 (* 131/162 (/ 1 (pow x 2)))) (/ 4940/243 (pow x 4))))
(* (pow x 2) (+ 4/27 (+ (* -1 (/ (+ 4940/243 (* 236345/729 (/ 1 (pow x 2)))) (pow x 4))) (* 131/162 (/ 1 (pow x 2))))))
(* 1/36 (pow x 2))
(* (pow x 2) (+ 1/36 (* -1/32400 (pow x 4))))
(* (pow x 2) (+ 1/36 (* (pow x 4) (- (* 1/255150 (pow x 2)) 1/32400))))
(* (pow x 2) (+ 1/36 (* (pow x 4) (- (* 1/255150 (pow x 2)) 1/32400))))
(* 1/255150 (pow x 8))
(* (pow x 8) (- 1/255150 (* 1/32400 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/255150 (/ 1/36 (pow x 6))) (* 1/32400 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/255150 (/ 1/36 (pow x 6))) (* 1/32400 (/ 1 (pow x 2)))))
(* 1/255150 (pow x 8))
(* (pow x 8) (- 1/255150 (* 1/32400 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/255150 (/ 1/36 (pow x 6))) (* 1/32400 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 1/255150 (/ 1/36 (pow x 6))) (* 1/32400 (/ 1 (pow x 2)))))
(* 1/36 x)
(* x (+ 1/36 (* -1/32400 (pow x 4))))
(* x (+ 1/36 (* (pow x 4) (- (* 1/255150 (pow x 2)) 1/32400))))
(* x (+ 1/36 (* (pow x 4) (- (* 1/255150 (pow x 2)) 1/32400))))
(* 1/255150 (pow x 7))
(* (pow x 7) (- 1/255150 (* 1/32400 (/ 1 (pow x 2)))))
(* (pow x 7) (- (+ 1/255150 (/ 1/36 (pow x 6))) (* 1/32400 (/ 1 (pow x 2)))))
(* (pow x 7) (- (+ 1/255150 (/ 1/36 (pow x 6))) (* 1/32400 (/ 1 (pow x 2)))))
(* 1/255150 (pow x 7))
(* -1 (* (pow x 7) (- (* 1/32400 (/ 1 (pow x 2))) 1/255150)))
(* -1 (* (pow x 7) (- (* 1/32400 (/ 1 (pow x 2))) (+ 1/255150 (/ 1/36 (pow x 6))))))
(* -1 (* (pow x 7) (- (* 1/32400 (/ 1 (pow x 2))) (+ 1/255150 (/ 1/36 (pow x 6))))))
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) (- (* 1/255150 (pow x 2)) 1/32400)))
(* 1/255150 (pow x 6))
(* (pow x 6) (- 1/255150 (* 1/32400 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/255150 (/ 1/36 (pow x 6))) (* 1/32400 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/255150 (/ 1/36 (pow x 6))) (* 1/32400 (/ 1 (pow x 2)))))
(* 1/255150 (pow x 6))
(* (pow x 6) (- 1/255150 (* 1/32400 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/255150 (/ 1/36 (pow x 6))) (* 1/32400 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/255150 (/ 1/36 (pow x 6))) (* 1/32400 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/180 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* 1/2835 (pow x 6))
(* (pow x 6) (- 1/2835 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/2835 (/ 1/6 (pow x 4))) (* 1/180 (/ 1 (pow x 2)))))
(* -1/180 (pow x 4))
(* (pow x 4) (- (* 1/2835 (pow x 2)) 1/180))
(* (pow x 4) (- (* 1/2835 (pow x 2)) 1/180))
(* (pow x 4) (- (* 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 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- 1/2835 (* 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 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (- 1/2835 (* 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)))))
(* -1/180 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)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -1/72 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/648 (pow x 2)) 1/72))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/648 (* -1/5184 (pow x 2)))) 1/72))))
(+ (log 1/6) (* -2 (log (/ 1 x))))
(+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2)))))
(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))
(- (+ (log 1/6) (+ (* -2 (log (/ 1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))
(+ (log 1/6) (* -2 (log (/ -1 x))))
(+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2)))))
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (* 6 (/ 1 (pow x 2))))) (/ 18 (pow x 4)))
(- (+ (log 1/6) (+ (* -2 (log (/ -1 x))) (+ (* 6 (/ 1 (pow x 2))) (* 72 (/ 1 (pow x 6)))))) (/ 18 (pow x 4)))
1
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* 1/6 (pow x 2)))
(+ 1 (* 1/6 (pow x 2)))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 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)))))
(* 1/2835 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))))))
(* 1/255150 (pow x 2))
(* 1/255150 (pow x 2))
(* 1/255150 (pow x 2))
(* 1/255150 (pow x 2))
(* 1/255150 (pow x 2))
(* 1/255150 (pow x 2))
(* 1/255150 (pow x 2))
(* 1/255150 (pow x 2))
(* 1/255150 (pow x 2))
(* 1/255150 (pow x 2))
(* 1/255150 (pow x 2))
(* 1/255150 (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))
(/ 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 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/180 binary64)))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/2835 (pow x 2)) 1/180))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64))))))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/2835 (* -1/37800 (pow x 2)))) 1/180))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64)))))))))
(* 4/27 (pow x 2))
(.f64 (.f64 x x) #s(literal 4/27 binary64))
(* (pow x 2) (+ 4/27 (* 131/162 (/ 1 (pow x 2)))))
(+.f64 (.f64 (.f64 x x) #s(literal 4/27 binary64)) #s(literal 131/162 binary64))
(* (pow x 2) (- (+ 4/27 (* 131/162 (/ 1 (pow x 2)))) (/ 4940/243 (pow x 4))))
(+.f64 (+.f64 (.f64 (.f64 x x) #s(literal 4/27 binary64)) #s(literal 131/162 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -4940/243 binary64) (.f64 x x))))
(* (pow x 2) (+ 4/27 (+ (* -1 (/ (+ 4940/243 (* 236345/729 (/ 1 (pow x 2)))) (pow x 4))) (* 131/162 (/ 1 (pow x 2))))))
(+.f64 (.f64 (.f64 x x) #s(literal 4/27 binary64)) (+.f64 #s(literal 131/162 binary64) (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4940/243 binary64) (/.f64 #s(literal -236345/729 binary64) (.f64 x x))) (*.f64 x x)))))
(* 4/27 (pow x 2))
(.f64 (.f64 x x) #s(literal 4/27 binary64))
(* (pow x 2) (+ 4/27 (* 131/162 (/ 1 (pow x 2)))))
(+.f64 (.f64 (.f64 x x) #s(literal 4/27 binary64)) #s(literal 131/162 binary64))
(* (pow x 2) (- (+ 4/27 (* 131/162 (/ 1 (pow x 2)))) (/ 4940/243 (pow x 4))))
(+.f64 (+.f64 (.f64 (.f64 x x) #s(literal 4/27 binary64)) #s(literal 131/162 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -4940/243 binary64) (.f64 x x))))
(* (pow x 2) (+ 4/27 (+ (* -1 (/ (+ 4940/243 (* 236345/729 (/ 1 (pow x 2)))) (pow x 4))) (* 131/162 (/ 1 (pow x 2))))))
(+.f64 (.f64 (.f64 x x) #s(literal 4/27 binary64)) (+.f64 #s(literal 131/162 binary64) (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -4940/243 binary64) (/.f64 #s(literal -236345/729 binary64) (.f64 x x))) (*.f64 x x)))))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* (pow x 2) (+ 1/36 (* -1/32400 (pow x 4))))
(.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/32400 binary64)))))
(* (pow x 2) (+ 1/36 (* (pow x 4) (- (* 1/255150 (pow x 2)) 1/32400))))
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1
#s(literal 1 binary64)
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(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
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(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
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(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
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(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
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(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
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(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
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(/.f64 #s(literal 42 binary64) (*.f64 x x))
(/ (+ 42 (* (pow x 2) (+ (log 1/5040) (* 6 (log x))))) (pow x 2))
(/.f64 (+.f64 #s(literal 42 binary64) (.f64 (.f64 x x) (+.f64 (log.f64 #s(literal 1/5040 binary64)) (.f64 #s(literal 6 binary64) (log.f64 x))))) (.f64 x x))
(/ (+ 42 (* (pow x 2) (+ (log 1/5040) (* 6 (log x))))) (pow x 2))
(/.f64 (+.f64 #s(literal 42 binary64) (.f64 (.f64 x x) (+.f64 (log.f64 #s(literal 1/5040 binary64)) (.f64 #s(literal 6 binary64) (log.f64 x))))) (.f64 x x))
(/ (+ 42 (* (pow x 2) (+ (log 1/5040) (* 6 (log x))))) (pow x 2))
(/.f64 (+.f64 #s(literal 42 binary64) (.f64 (.f64 x x) (+.f64 (log.f64 #s(literal 1/5040 binary64)) (.f64 #s(literal 6 binary64) (log.f64 x))))) (.f64 x x))
(+ (log 1/5040) (* -6 (log (/ 1 x))))
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(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 1/5040 binary64)) (+.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (/.f64 #s(literal 42 binary64) (.f64 x x))))
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(+.f64 (log.f64 #s(literal 1/5040 binary64)) (+.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (/.f64 #s(literal 42 binary64) (.f64 x x))))
(+ (log 1/5040) (+ (* -6 (log (/ 1 x))) (* 42 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 1/5040 binary64)) (+.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (/.f64 #s(literal 42 binary64) (.f64 x x))))
(+ (log 1/5040) (* 6 (+ (log -1) (* -1 (log (/ -1 x))))))
(+.f64 (log.f64 #s(literal 1/5040 binary64)) (*.f64 #s(literal 6 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(+ (log 1/5040) (+ (* 6 (+ (log -1) (* -1 (log (/ -1 x))))) (* 42 (/ 1 (pow x 2)))))
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(+.f64 (.f64 #s(literal 6 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 (log.f64 #s(literal 1/5040 binary64)) (/.f64 #s(literal 42 binary64) (.f64 x x))))
(+ (log 1/5040) (+ (* 6 (+ (log -1) (* -1 (log (/ -1 x))))) (* 42 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 6 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 (log.f64 #s(literal 1/5040 binary64)) (/.f64 #s(literal 42 binary64) (.f64 x x))))
(/ 42 (pow x 2))
(/.f64 #s(literal 42 binary64) (*.f64 x x))
(/ (+ 42 (* 6 (* (pow x 2) (log x)))) (pow x 2))
(/.f64 (+.f64 #s(literal 42 binary64) (.f64 (.f64 x x) (.f64 #s(literal 6 binary64) (log.f64 x)))) (.f64 x x))
(/ (+ 42 (* 6 (* (pow x 2) (log x)))) (pow x 2))
(/.f64 (+.f64 #s(literal 42 binary64) (.f64 (.f64 x x) (.f64 #s(literal 6 binary64) (log.f64 x)))) (.f64 x x))
(/ (+ 42 (* 6 (* (pow x 2) (log x)))) (pow x 2))
(/.f64 (+.f64 #s(literal 42 binary64) (.f64 (.f64 x x) (.f64 #s(literal 6 binary64) (log.f64 x)))) (.f64 x x))
(* -6 (log (/ 1 x)))
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(+.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))))
(* 1/2835 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 x (*.f64 x #s(literal -1/37800 binary64)))))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 x (*.f64 x #s(literal -1/37800 binary64)))))
(* x (+ 1/2835 (* -1/37800 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 x (*.f64 x #s(literal -1/37800 binary64)))))
(* -1/37800 (pow x 3))
(.f64 (.f64 x x) (*.f64 x #s(literal -1/37800 binary64)))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(+.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1/37800 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2835 binary64)) #s(literal 1 binary64))))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(+.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1/37800 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2835 binary64)) #s(literal 1 binary64))))
(* (pow x 3) (- (* 1/2835 (/ 1 (pow x 2))) 1/37800))
(+.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1/37800 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2835 binary64)) #s(literal 1 binary64))))
(* -1/37800 (pow x 3))
(.f64 (.f64 x x) (*.f64 x #s(literal -1/37800 binary64)))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(+.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1/37800 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2835 binary64)) #s(literal 1 binary64))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(+.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1/37800 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2835 binary64)) #s(literal 1 binary64))))
(* -1 (* (pow x 3) (- 1/37800 (* 1/2835 (/ 1 (pow x 2))))))
(+.f64 (.f64 (.f64 x x) (.f64 x #s(literal -1/37800 binary64))) (.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2835 binary64)) #s(literal 1 binary64))))
(* 1/255150 (pow x 2))
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(* 1/255150 (pow x 2))
(.f64 x (.f64 x #s(literal 1/255150 binary64)))
(* 1/255150 (pow x 2))
(.f64 x (.f64 x #s(literal 1/255150 binary64)))
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(.f64 x (.f64 x #s(literal 1/255150 binary64)))
(* 1/255150 (pow x 2))
(.f64 x (.f64 x #s(literal 1/255150 binary64)))
(* 1/255150 (pow x 2))
(.f64 x (.f64 x #s(literal 1/255150 binary64)))
(* 1/255150 (pow x 2))
(.f64 x (.f64 x #s(literal 1/255150 binary64)))
(* 1/255150 (pow x 2))
(.f64 x (.f64 x #s(literal 1/255150 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(* 1/2835 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2835 binary64)))
(/ 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))

eval119.0ms (0.7%)

Compiler: Compiled 27486 to 2031 computations (92.6% saved)

prune126.0ms (0.7%)

Pruning

44 alts after pruning (37 fresh and 7 done)

	Pruned	Kept	Total
New	791	15	806
Fresh	4	22	26
Picked	2	3	5
Done	0	4	4
Total	797	44	841

Accuracy

98.3%

Counts

841 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	9.6%	(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))) #s(literal 3 binary64))) (+.f64 (.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 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x)))) (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x)))) (.f64 (/.f64 (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)))))))
	9.6%	(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))) (log.f64 (.f64 (.f64 x (sinh.f64 x)) (*.f64 x x))))
	53.0%	(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 (sinh.f64 x))))
	3.3%	(/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/5040 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 3 binary64))) (.f64 x x)) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/5040 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 36 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 (log.f64 #s(literal 1/5040 binary64)) (.f64 #s(literal 6 binary64) (log.f64 x))))) #s(literal 42 binary64))) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/5040 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 36 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 (log.f64 #s(literal 1/5040 binary64)) (.f64 #s(literal 6 binary64) (log.f64 x))))) (.f64 x x)))
	3.3%	(/.f64 (+.f64 #s(literal 42 binary64) (.f64 (.f64 x x) (+.f64 (log.f64 #s(literal 1/5040 binary64)) (.f64 #s(literal 6 binary64) (log.f64 x))))) (.f64 x x))
	14.8%	(/.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (-.f64 #s(literal 1/255150 binary64) (/.f64 #s(literal 1/32400 binary64) (.f64 x x))) (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))))
	96.3%	(/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64))))))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))
	95.3%	(/.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))
	95.4%	(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal -1/32400 binary64) (.f64 (.f64 x x) #s(literal 1/255150 binary64))) (.f64 x (.f64 x (.f64 x x))))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal -1/37800 binary64)))))))))
	95.3%	(/.f64 (.f64 x (.f64 x #s(literal 1/36 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))
	95.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64))))))))) #s(literal 1/6 binary64)))))
	53.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x))))
	96.1%	(-.f64 (log1p.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))))) (log1p.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) #s(literal 1 binary64)))))
	53.2%	(-.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 2 binary64)))
	53.0%	(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
	2.0%	(+.f64 (+.f64 (.f64 (.f64 x x) #s(literal 4/27 binary64)) #s(literal 131/162 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -4940/243 binary64) (.f64 x x))))
	95.0%	(+.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
✓	95.8%	(+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
	1.9%	(+.f64 (log.f64 #s(literal 1/5040 binary64)) (/.f64 (-.f64 (.f64 (.f64 #s(literal 36 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (/.f64 #s(literal 42 binary64) (.f64 x x)))) (.f64 (-.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (/.f64 #s(literal 42 binary64) (.f64 x x))) (/.f64 #s(literal 1764 binary64) (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 (-.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (/.f64 #s(literal 42 binary64) (.f64 x x))) #s(literal 2 binary64))))
	1.9%	(+.f64 (log.f64 #s(literal 1/5040 binary64)) (/.f64 (+.f64 (pow.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 74088 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (+.f64 (.f64 #s(literal 36 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 42 binary64) (.f64 x x)) (.f64 #s(literal 6 binary64) (log.f64 x))) (/.f64 (*.f64 x x) #s(literal 42 binary64))))))
	2.5%	(+.f64 (log.f64 #s(literal 1/5040 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (/.f64 #s(literal 42 binary64) (.f64 x x))) (-.f64 (.f64 #s(literal 36 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1764 binary64) (.f64 x (.f64 x (.f64 x x))))))))
✓	3.3%	(+.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))))
	96.3%	(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64)))))))) (-.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 x (.f64 x #s(literal -1/37800 binary64)))))))))) x)
	9.8%	(.f64 (/.f64 #s(literal -1 binary64) (log.f64 (.f64 x (sinh.f64 x)))) (.f64 (log.f64 (.f64 x (sinh.f64 x))) (log.f64 (/.f64 x (sinh.f64 x)))))
	95.8%	(.f64 (+.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)))))) (.f64 x x))
	9.7%	(.f64 (.f64 (log.f64 (.f64 (sinh.f64 x) x)) (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (log.f64 (.f64 x (sinh.f64 x))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) x)))))
	96.3%	(.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64)))))))) (/.f64 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 x (.f64 x #s(literal -1/37800 binary64)))))))))))
	95.4%	(.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 1/6480 binary64)))))))
	95.0%	(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/180 binary64)))))
	57.4%	(.f64 (.f64 x x) #s(literal 4/27 binary64))
✓	94.3%	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
	95.8%	(.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)))))))
✓	95.9%	(.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))))))))))
	95.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
	27.9%	(.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 0 binary64)) (*.f64 x x)))
✓	94.3%	(.f64 #s(literal 1/6 binary64) (.f64 x x))
	8.6%	(neg.f64 (log.f64 (/.f64 x (/.f64 (*.f64 x (sinh.f64 x)) x))))
	94.3%	(log1p.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)))
	95.5%	(log1p.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
	96.1%	(log1p.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))))
	8.6%	(log.f64 (/.f64 (/.f64 (*.f64 x (sinh.f64 x)) x) x))
✓	53.2%	(log.f64 (/.f64 (sinh.f64 x) x))
	2.1%	(log.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
✓	48.1%	#s(literal 0 binary64)

Compiler

Compiled 3174 to 957 computations (69.8% saved)

regimes63.0ms (0.4%)

Counts

68 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 (.f64 x x) #s(literal 4/27 binary64))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/180 binary64)))))
(.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 0 binary64)) (*.f64 x x)))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(+.f64 (+.f64 (.f64 (.f64 x x) #s(literal 4/27 binary64)) #s(literal 131/162 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -4940/243 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 (.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 1/6480 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 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))) (.f64 x x))
(+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.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 x (.f64 x #s(literal 1/36 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))
(/.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))
(+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64))))))))) #s(literal 1/6 binary64)))))
(.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 0 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 x x) #s(literal 0 binary64))))))
(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal -1/32400 binary64) (.f64 (.f64 x x) #s(literal 1/255150 binary64))) (.f64 x (.f64 x (.f64 x x))))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal -1/37800 binary64)))))))))
(.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64)))))))) (/.f64 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 x (.f64 x #s(literal -1/37800 binary64)))))))))))
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64)))))))) (-.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 x (.f64 x #s(literal -1/37800 binary64)))))))))) x)
(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal -1/32400 binary64) (.f64 (.f64 x x) #s(literal 1/255150 binary64))) (.f64 x (.f64 x (.f64 x x))))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal -1/32400 binary64) (.f64 (.f64 x x) #s(literal 1/255150 binary64))) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))
(/.f64 (.f64 (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64))))))) (.f64 x x)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))
(.f64 x (.f64 x (/.f64 (-.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))) #s(literal 1/36 binary64)) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))) #s(literal 1/6 binary64)))))
(.f64 x (/.f64 (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))))) x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))))))
(.f64 (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64))))))) (.f64 (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64))))))) (.f64 x (.f64 x x)))))) (/.f64 (.f64 x x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 x (*.f64 x #s(literal -1/37800 binary64))))))))))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))))
(.f64 x (.f64 x (.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))))))))
(.f64 x (-.f64 (/.f64 (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 x #s(literal 1/6 binary64))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))) (-.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))))))
(.f64 x (/.f64 (.f64 (+.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))) x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))) #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 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))))))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64)))))))) #s(literal 1/6 binary64)))))
(log1p.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(log.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)))
(log.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/120 binary64)))))
(log1p.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/120 binary64))))))
(log1p.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))))
(log.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))
(/.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (-.f64 #s(literal 1/255150 binary64) (/.f64 #s(literal 1/32400 binary64) (.f64 x x))) (/.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (*.f64 x x) #s(literal -1/37800 binary64))))))))))
(log.f64 (/.f64 (sinh.f64 x) x))
(neg.f64 (log.f64 (/.f64 x (sinh.f64 x))))
(log.f64 (/.f64 (/.f64 (*.f64 x (sinh.f64 x)) x) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (sinh.f64 x) x))))
(neg.f64 (log.f64 (/.f64 x (/.f64 (*.f64 x (sinh.f64 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.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 (-.f64 #s(literal 0 binary64) x) (sinh.f64 x))) (*.f64 x x)))
(/.f64 (+.f64 #s(literal 42 binary64) (.f64 (.f64 x x) (+.f64 (log.f64 #s(literal 1/5040 binary64)) (.f64 #s(literal 6 binary64) (log.f64 x))))) (.f64 x x))
(-.f64 (log1p.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))) (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64))))))))))) (log1p.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 x x) #s(literal 1/5040 binary64)))))))) (-.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 x x) #s(literal 1/5040 binary64)))))))) #s(literal 1 binary64)))))
(-.f64 (log.f64 (sinh.f64 x)) (log.f64 x))
(-.f64 (log.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 1/5040 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (/.f64 #s(literal 42 binary64) (.f64 x x))) (-.f64 (.f64 #s(literal 36 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1764 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(.f64 (.f64 (+.f64 (.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 #s(literal 2 binary64) (log.f64 x))) (log.f64 (/.f64 x (sinh.f64 x)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 x) x)))))
(+.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 #s(literal -1 binary64) (log.f64 (.f64 x (sinh.f64 x)))) (.f64 (log.f64 (.f64 x (sinh.f64 x))) (log.f64 (/.f64 x (sinh.f64 x)))))
(.f64 (.f64 (log.f64 (.f64 (sinh.f64 x) x)) (log.f64 (/.f64 x (sinh.f64 x)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (sinh.f64 x) x)))))
(+.f64 (log.f64 #s(literal 1/5040 binary64)) (/.f64 (+.f64 (pow.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal 74088 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (+.f64 (.f64 #s(literal 36 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 42 binary64) (.f64 x x)) (.f64 #s(literal 6 binary64) (log.f64 x))) (/.f64 (*.f64 x x) #s(literal 42 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 x (sinh.f64 x))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))) (log.f64 (.f64 (.f64 x (sinh.f64 x)) (*.f64 x x))))
(+.f64 (log.f64 #s(literal 1/5040 binary64)) (/.f64 (-.f64 (.f64 (.f64 #s(literal 36 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (/.f64 #s(literal 42 binary64) (.f64 x x)))) (.f64 (-.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (/.f64 #s(literal 42 binary64) (.f64 x x))) (/.f64 #s(literal 1764 binary64) (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 (-.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (/.f64 #s(literal 42 binary64) (.f64 x x))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 (sinh.f64 x))))
(/.f64 (-.f64 (.f64 (log.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) x))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (log.f64 (/.f64 (.f64 (sinh.f64 x) #s(literal 2 binary64)) x)) (log.f64 #s(literal 2 binary64))))
(.f64 (.f64 (log.f64 (.f64 (sinh.f64 x) x)) (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64))) (log.f64 (.f64 x (sinh.f64 x))))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 x) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))) (.f64 (log.f64 (.f64 (sinh.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (log.f64 (.f64 (sinh.f64 x) x)) (log.f64 (*.f64 (sinh.f64 x) x))))
(/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/5040 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 3 binary64))) (.f64 x x)) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/5040 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 36 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 (log.f64 #s(literal 1/5040 binary64)) (.f64 #s(literal 6 binary64) (log.f64 x))))) #s(literal 42 binary64))) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/5040 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 36 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (.f64 (log.f64 #s(literal 1/5040 binary64)) (.f64 #s(literal 6 binary64) (log.f64 x))))) (.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))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))) #s(literal 3 binary64))) (+.f64 (.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 (sinh.f64 x)) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x)))) (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 (sinh.f64 x) x)))) (.f64 (/.f64 (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)))))))

Outputs

(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/32400 binary64) (*.f64 x (*.f64 x #s(literal 1/255150 binary64)))))))) (-.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 x (*.f64 x #s(literal -1/37800 binary64)))))))))) x)

Calls

3 calls:

26.0ms	(/.f64 (sinh.f64 x) x)
19.0ms	x
14.0ms	(log.f64 (/.f64 (sinh.f64 x) x))

Results

Accuracy	Segments	Branch
96.3%	1	`x`
96.3%	1	`(log.f64 (/.f64 (sinh.f64 x) x))`
96.3%	1	`(/.f64 (sinh.f64 x) x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes9.0ms (0.1%)

Counts

22 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 (.f64 x x) #s(literal 4/27 binary64))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/180 binary64)))))
(.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 0 binary64)) (*.f64 x x)))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(+.f64 (+.f64 (.f64 (.f64 x x) #s(literal 4/27 binary64)) #s(literal 131/162 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -4940/243 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 (.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 1/6480 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 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))) (.f64 x x))
(+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.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 x (.f64 x #s(literal 1/36 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))
(/.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))
(+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64))))))))) #s(literal 1/6 binary64)))))
(.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 0 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 x x) #s(literal 0 binary64))))))
(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal -1/32400 binary64) (.f64 (.f64 x x) #s(literal 1/255150 binary64))) (.f64 x (.f64 x (.f64 x x))))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal -1/37800 binary64)))))))))
(.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64)))))))) (/.f64 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 x (.f64 x #s(literal -1/37800 binary64)))))))))))

Outputs

(*.f64 (*.f64 x (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/32400 binary64) (*.f64 x (*.f64 x #s(literal 1/255150 binary64)))))))) (/.f64 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 x (*.f64 x #s(literal -1/37800 binary64)))))))))))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
96.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0%)

Counts

21 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 (.f64 x x) #s(literal 4/27 binary64))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/180 binary64)))))
(.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 0 binary64)) (*.f64 x x)))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(+.f64 (+.f64 (.f64 (.f64 x x) #s(literal 4/27 binary64)) #s(literal 131/162 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -4940/243 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 (.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 1/6480 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 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))) (.f64 x x))
(+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.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 x (.f64 x #s(literal 1/36 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))
(/.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))
(+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 x (.f64 x #s(literal -1/37800 binary64))))))))) #s(literal 1/6 binary64)))))
(.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal 0 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 x x) #s(literal 0 binary64))))))
(/.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (+.f64 #s(literal -1/32400 binary64) (.f64 (.f64 x x) #s(literal 1/255150 binary64))) (.f64 x (.f64 x (.f64 x x))))))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 (.f64 x x) (.f64 x #s(literal -1/37800 binary64)))))))))

Outputs

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
95.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Counts

17 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 (.f64 x x) #s(literal 4/27 binary64))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/180 binary64)))))
(.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 0 binary64)) (*.f64 x x)))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(+.f64 (+.f64 (.f64 (.f64 x x) #s(literal 4/27 binary64)) #s(literal 131/162 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -4940/243 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 (.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 1/6480 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 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))) (.f64 x x))
(+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.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 x (.f64 x #s(literal 1/36 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))
(/.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))))

Outputs

(*.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))))))))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
95.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Counts

14 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 (.f64 x x) #s(literal 4/27 binary64))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/180 binary64)))))
(.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 0 binary64)) (*.f64 x x)))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(+.f64 (+.f64 (.f64 (.f64 x x) #s(literal 4/27 binary64)) #s(literal 131/162 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -4940/243 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 (.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 1/6480 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 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))) (.f64 x x))
(+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 (.f64 x x) #s(literal 1/2835 binary64))))) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
95.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

13 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 (.f64 x x) #s(literal 4/27 binary64))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/180 binary64)))))
(.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 0 binary64)) (*.f64 x x)))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(+.f64 (+.f64 (.f64 (.f64 x x) #s(literal 4/27 binary64)) #s(literal 131/162 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -4940/243 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 (.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 1/6480 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 (.f64 x x) (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x #s(literal 1/2835 binary64)))))) (.f64 x 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:

4.0ms

Results

Accuracy	Segments	Branch
95.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

9 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 (.f64 x x) #s(literal 4/27 binary64))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/180 binary64)))))
(.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 0 binary64)) (*.f64 x x)))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(+.f64 (+.f64 (.f64 (.f64 x x) #s(literal 4/27 binary64)) #s(literal 131/162 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -4940/243 binary64) (.f64 x x))))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
95.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

7 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 (.f64 x x) #s(literal 4/27 binary64))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x #s(literal -1/180 binary64)))))
(.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 0 binary64)) (*.f64 x x)))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
95.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 (.f64 x x) #s(literal 4/27 binary64))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
94.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes23.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

1 calls:

22.0ms

Results

Accuracy	Segments	Branch
48.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

90×	`*-commutative_binary64`
52×	`+-commutative_binary64`
26×	`sub-neg_binary64`
24×	`neg-sub0_binary64`
24×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	202
1	110	202
2	121	202
3	132	202
4	142	202
5	157	202
6	172	202
7	189	202
8	202	202
9	208	202
10	211	202
11	212	202

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64)))))))) (-.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 x (.f64 x #s(literal -1/37800 binary64)))))))))) x)
(.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64)))))))) (/.f64 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 x (.f64 x #s(literal -1/37800 binary64)))))))))))
(+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x x)) (.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 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 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 #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 (.f64 (.f64 (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal -1/180 binary64)))))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
#s(literal 0 binary64)

Outputs
(.f64 (/.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64)))))))) (-.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 x (.f64 x #s(literal -1/37800 binary64)))))))))) x)
(.f64 x (/.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64)))))))) (-.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 x (.f64 x #s(literal -1/37800 binary64)))))))))))
(.f64 (.f64 x (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal -1/32400 binary64) (.f64 x (.f64 x #s(literal 1/255150 binary64)))))))) (/.f64 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 x (.f64 x #s(literal -1/37800 binary64)))))))))))
(+.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64)))))))) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (+.f64 #s(literal -1/180 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 binary64))))))))) (.f64 (.f64 x 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 x (.f64 x (+.f64 #s(literal 1/2835 binary64) (.f64 (.f64 x x) #s(literal -1/37800 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 #s(literal 1/6 binary64) (.f64 x x)))
(+.f64 (.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)))))))
(.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 (.f64 (.f64 x x) #s(literal -1/180 binary64)) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 (.f64 x x) (.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 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
#s(literal 0 binary64)

soundness2.3s (13.7%)

Rules

4306×	`-lowering-.f32`
4306×	`-lowering-.f64`
4060×	`-lowering-.f32`
4060×	`-lowering-.f64`
3826×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	214
1	273	185
2	2461	183
0	8426	183
0	40	251
1	263	216
2	2148	215
0	8575	215
0	4	11
1	20	11
2	123	11
3	952	11
0	8601	11
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	243	2895
1	672	2804
2	1944	2755
3	6256	2751
0	8077	2751
0	40	279
1	264	243
2	2400	225
0	10144	225

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
1×	iter limit
1×	node limit

Compiler

Compiled 294 to 119 computations (59.5% saved)

preprocess74.0ms (0.4%)

Remove: (abs x)
Compiler: Compiled 984 to 472 computations (52% saved)

Iter	Nodes	Cost
0	59	202
1	110	202
2	121	202
3	132	202
4	142	202
5	157	202
6	172	202
7	189	202
8	202	202
9	208	202
10	211	202
11	212	202

Iter	Nodes	Cost
0	59	202
1	110	202
2	121	202
3	132	202
4	142	202
5	157	202
6	172	202
7	189	202
8	202	202
9	208	202
10	211	202
11	212	202

analyze127.0ms (0.7%)

sample4.5s (26.6%)

preprocess294.0ms (1.7%)

explain235.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify272.0ms (1.6%)

localize215.0ms (1.3%)

series118.0ms (0.7%)

rewrite262.0ms (1.5%)

simplify194.0ms (1.1%)

eval52.0ms (0.3%)

prune81.0ms (0.5%)

simplify203.0ms (1.2%)

localize634.0ms (3.7%)

series115.0ms (0.7%)

rewrite322.0ms (1.9%)

simplify335.0ms (2%)

eval194.0ms (1.1%)

prune271.0ms (1.6%)

simplify235.0ms (1.4%)

localize764.0ms (4.5%)

series59.0ms (0.3%)

rewrite488.0ms (2.9%)

simplify315.0ms (1.9%)

eval2.3s (13.3%)

prune185.0ms (1.1%)

simplify153.0ms (0.9%)

localize583.0ms (3.4%)

series104.0ms (0.6%)

rewrite354.0ms (2.1%)

simplify258.0ms (1.5%)

eval119.0ms (0.7%)

prune126.0ms (0.7%)

regimes63.0ms (0.4%)

regimes9.0ms (0.1%)

regimes7.0ms (0%)

regimes6.0ms (0%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes23.0ms (0.1%)

simplify17.0ms (0.1%)

soundness2.3s (13.7%)

preprocess74.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	59	202
1	110	202
2	121	202
3	132	202
4	142	202
5	157	202
6	172	202
7	189	202
8	202	202
9	208	202
10	211	202
11	212	202