Metrics for Hyperbolic arcsine

analyze86.0ms (0.8%)

Memory

-10.3MiB live, 119.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
62.5%	62.5%	37.5%	0%	0%	0%	0%	5
68.8%	68.7%	31.2%	0%	0%	0%	0%	6
71.9%	71.8%	28.1%	0%	0%	0%	0%	7
73.4%	73.4%	26.5%	0%	0%	0%	0%	8
74.2%	74.2%	25.8%	0%	0%	0%	0%	9
74.6%	74.6%	25.4%	0%	0%	0%	0%	10
74.8%	74.8%	25.2%	0%	0%	0%	0%	11
74.9%	74.9%	25.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample2.0s (17.8%)

Memory

7.2MiB live, 2 968.7MiB allocated

Samples

811.0ms	1 647×	2	valid
746.0ms	4 376×	1	valid
140.0ms	2 233×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-log: 786.0ms (55.9% of total)

ival-hypot: 439.0ms (31.2% of total)

ival-add: 85.0ms (6% of total)

adjust: 76.0ms (5.4% of total)

exact: 10.0ms (0.7% of total)

ival-true: 7.0ms (0.5% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

preprocess16.0ms (0.1%)

Memory

23.0MiB live, 23.0MiB allocated

Algorithm

2×	egg-herbie

Rules

36×	`sub-neg`
34×	`distribute-rgt-in`
30×	`distribute-lft-neg-in`
30×	`associate--r+`
30×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	30	28
2	55	28
3	95	28
4	149	28
5	206	28
6	249	28
7	264	28
0	7	9
1	11	9
0	11	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(log (+ x (sqrt (+ (* x x) 1))))

Outputs
(log (+ x (sqrt (+ (* x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Call 2

Inputs
(log (+ x (sqrt (+ (* x x) 1))))
(log (+ (neg x) (sqrt (+ (* (neg x) (neg x)) 1))))
(neg (log (+ (neg x) (sqrt (+ (* (neg x) (neg x)) 1)))))

Outputs
(log (+ x (sqrt (+ (* x x) 1))))
(log (+ x (sqrt (+ 1 (* x x)))))
(log (+ (neg x) (sqrt (+ (* (neg x) (neg x)) 1))))
(log (- (sqrt (+ 1 (* x x))) x))
(neg (log (+ (neg x) (sqrt (+ (* (neg x) (neg x)) 1)))))
(neg (log (- (sqrt (+ 1 (* x x))) x)))

explain261.0ms (2.3%)

Memory

2.0MiB live, 281.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
113	-	-	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
70	-	-	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
66	-	-	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`
0	-	-	`(*.f64 x x)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f64`	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`	sensitivity	113	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`	oflow-rescue	70	0
↳	`(*.f64 x x)`	overflow	70
↳	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`	overflow	70
`+.f64`	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`	cancellation	66	0

Confusion

	Predicted +	Predicted -
+	214	0
-	0	42

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	214	0	0
-	0	0	42

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	42
1	179
2	35

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

66.0ms	94×	2	valid
50.0ms	162×	0	valid
45.0ms	256×	1	valid

Compiler

Compiled 90 to 32 computations (64.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-log: 38.0ms (37% of total)

ival-add: 32.0ms (31.2% of total)

ival-hypot: 20.0ms (19.5% of total)

adjust: 6.0ms (5.8% of total)

ival-mult: 5.0ms (4.9% of total)

exact: 1.0ms (1% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	22.6%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify3.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 (*.f64 x x) #s(literal 1 binary64))
✓	cost-diff	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓	cost-diff	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	cost-diff	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Rules

8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
4×	`+-commutative`
2×	`sqrt-lowering-sqrt.f64`
2×	`log-lowering-log.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	33
1	11	33
0	11	29

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(log (+ x (sqrt (+ (* x x) 1))))
(+ x (sqrt (+ (* x x) 1)))
x
(sqrt (+ (* x x) 1))
(+ (* x x) 1)
(* x x)
1

Outputs
(log (+ x (sqrt (+ (* x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+ x (sqrt (+ (* x x) 1)))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
x
(sqrt (+ (* x x) 1))
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(+ (* x x) 1)
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(* x x)
(*.f64 x x)
1
#s(literal 1 binary64)

localize152.0ms (1.3%)

Memory

-15.7MiB live, 105.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (*.f64 x x) #s(literal 1 binary64))
✓	accuracy	76.1%	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	accuracy	74.5%	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓	accuracy	60.7%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Samples

55.0ms	47×	2	valid
52.0ms	128×	1	valid
6.0ms	81×	0	valid

Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 102.0ms

ival-log: 52.0ms (50.9% of total)

adjust: 32.0ms (31.3% of total)

ival-hypot: 11.0ms (10.8% of total)

ival-add: 5.0ms (4.9% of total)

ival-mult: 2.0ms (2% of total)

exact: 0.0ms (0% of total)

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

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

series4.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (log (+ x (sqrt (+ (* x x) 1))))>
#<alt (+ x (sqrt (+ (* x x) 1)))>
#<alt (sqrt (+ (* x x) 1))>
#<alt (+ (* x x) 1)>

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log (+ x (sqrt (+ (* x x) 1))))
1.0ms	x	@	-inf	(log (+ x (sqrt (+ (* x x) 1))))
1.0ms	x	@	inf	(log (+ x (sqrt (+ (* x x) 1))))
0.0ms	x	@	inf	(+ (* x x) 1)
0.0ms	x	@	-inf	(+ x (sqrt (+ (* x x) 1)))

rewrite974.0ms (8.5%)

Memory

-9.7MiB live, 546.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 062×	`accelerator-lowering-fma.f32`
6 062×	`accelerator-lowering-fma.f64`
3 598×	`-lowering-.f32`
3 598×	`-lowering-.f64`
2 994×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
1	39	28
2	292	28
3	3147	28
0	8731	24

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 355

Calls

Call 1

Inputs
(log (+ x (sqrt (+ (* x x) 1))))
(+ x (sqrt (+ (* x x) 1)))
(sqrt (+ (* x x) 1))
(+ (* x x) 1)

Outputs
(log.f64 (+.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(+.f64 (log.f64 (+.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (log.f64 (.f64 (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(+.f64 (log.f64 (+.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (log.f64 (/.f64 (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (-.f64 #s(literal 0 binary64) (log1p.f64 (+.f64 (.f64 x x) (.f64 x (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
(+.f64 (log1p.f64 (+.f64 (.f64 x x) (.f64 x (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) (log.f64 (.f64 (+.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 x (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))))
(+.f64 (log1p.f64 (+.f64 (.f64 x x) (.f64 x (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))) (log.f64 (/.f64 (+.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
(+.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 x (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))))
(+.f64 (log.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(+.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (+.f64 (.f64 x x) (.f64 x (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))) (log.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (log.f64 (-.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (log.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal 1 binary64))) (-.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal 1 binary64))))) (log.f64 (+.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) #s(literal 3 binary64))))) (log.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (*.f64 x x))))))
(+.f64 (log.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) #s(literal 2 binary64))))) (log.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))))
(+.f64 (log.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal 1 binary64))) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (log.f64 (+.f64 (+.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal 1 binary64))) (.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(-.f64 (log.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (+.f64 (.f64 x x) (.f64 x (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (log.f64 (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (log.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 9/2 binary64)))) (log.f64 (.f64 (+.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 x (-.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (pow.f64 (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal 1 binary64)))) #s(literal 3/2 binary64)))))))
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(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))))
(.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -1 binary64)))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))))
(.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64)))))))
(.f64 (exp.f64 (log.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)))) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))))))

simplify577.0ms (5.1%)

Memory

20.4MiB live, 627.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 038×	`accelerator-lowering-fma.f32`
11 038×	`accelerator-lowering-fma.f64`
4 124×	`+-lowering-+.f64`
4 124×	`+-lowering-+.f32`
2 226×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	489
1	353	481
2	931	473
3	2911	443
4	7055	443
0	8123	412

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))

Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64))))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(+.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x) (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))

eval83.0ms (0.7%)

Memory: 4.7MiB live, 120.6MiB allocated
Compiler: Compiled 12 529 to 1 631 computations (87% saved)

prune62.0ms (0.5%)

Memory

-14.3MiB live, 180.9MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	388	15	403
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	388	16	404

Accuracy

100.0%

Counts

404 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
	46.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64))))))))
▶	44.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
	7.7%	(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
	7.8%	(log.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal 1 binary64))) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
▶	25.9%	(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
▶	26.7%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
	26.0%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
	29.6%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
	30.7%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
	22.6%	(log.f64 (+.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64))))
	2.5%	(log.f64 (+.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)))
	6.9%	(log.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))))
✓	22.6%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
▶	29.7%	(log.f64 (+.f64 x x))
▶	47.0%	x

Compiler

Compiled 430 to 275 computations (36% saved)

simplify10.0ms (0.1%)

Memory

-12.6MiB live, 26.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓	cost-diff	(+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x))))))
✓	cost-diff	(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)
✓	cost-diff	(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
✓	cost-diff	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓	cost-diff	(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
✓	cost-diff	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
✓	cost-diff	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
✓	cost-diff	(+.f64 x x)
✓	cost-diff	(log.f64 (+.f64 x x))
✓	cost-diff	(*.f64 x #s(literal -1/6 binary64))
✓	cost-diff	(.f64 x (.f64 x #s(literal -1/6 binary64)))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
✓	cost-diff	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))

Rules

84×	`-lowering-.f32`
84×	`-lowering-.f64`
50×	`/-lowering-/.f32`
50×	`/-lowering-/.f64`
40×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	159
1	53	145
2	79	145
3	129	145
4	129	145
0	129	143

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
x
(* x (+ 1 (* x (* x -1/6))))
x
(+ 1 (* x (* x -1/6)))
1
(* x (* x -1/6))
(* x -1/6)
-1/6
(log (+ x x))
(+ x x)
x
(log (/ (+ -1/2 (/ 1/8 (* x x))) x))
(/ (+ -1/2 (/ 1/8 (* x x))) x)
(+ -1/2 (/ 1/8 (* x x)))
-1/2
(/ 1/8 (* x x))
1/8
(* x x)
x
(log (/ (+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x)))))) x))
(/ (+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x)))))) x)
(+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x))))))
(/ 1/8 (* x x))
1/8
(* x x)
x
(+ -1/2 (/ -1/16 (* x (* x (* x x)))))
-1/2
(/ -1/16 (* x (* x (* x x))))
-1/16
(* x (* x (* x x)))
(* x (* x x))

Outputs
x
(* x (+ 1 (* x (* x -1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
x
(+ 1 (* x (* x -1/6)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
1
#s(literal 1 binary64)
(* x (* x -1/6))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* x -1/6)
(*.f64 x #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(log (+ x x))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(+ x x)
(*.f64 x #s(literal 2 binary64))
x
(log (/ (+ -1/2 (/ 1/8 (* x x))) x))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(/ (+ -1/2 (/ 1/8 (* x x))) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(+ -1/2 (/ 1/8 (* x x)))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
-1/2
#s(literal -1/2 binary64)
(/ 1/8 (* x x))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
1/8
#s(literal 1/8 binary64)
(* x x)
(*.f64 x x)
x
(log (/ (+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x)))))) x))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) x) (.f64 x x)))) x))
(/ (+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x)))))) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) x) (.f64 x x)))) x)
(+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x))))))
(+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) x) (.f64 x x))))
(/ 1/8 (* x x))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
1/8
#s(literal 1/8 binary64)
(* x x)
(*.f64 x x)
x
(+ -1/2 (/ -1/16 (* x (* x (* x x)))))
(+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) x) (*.f64 x x)))
-1/2
#s(literal -1/2 binary64)
(/ -1/16 (* x (* x (* x x))))
(/.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) x) (*.f64 x x))
-1/16
#s(literal -1/16 binary64)
(* x (* x (* x x)))
(.f64 (.f64 x x) (*.f64 x x))
(* x (* x x))
(.f64 x (.f64 x x))

localize91.0ms (0.8%)

Memory

22.4MiB live, 227.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	100.0%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
✓	accuracy	100.0%	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓	accuracy	100.0%	(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
✓	accuracy	100.0%	(+.f64 x x)
✓	accuracy	100.0%	(log.f64 (+.f64 x x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal -1/6 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/6 binary64))

Samples

57.0ms

256×

invalid

Compiler

Compiled 175 to 26 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 14.0ms (36.5% of total)

ival-div: 7.0ms (18.3% of total)

ival-log: 7.0ms (18.3% of total)

ival-add: 6.0ms (15.7% of total)

const: 4.0ms (10.4% of total)

exact: 1.0ms (2.6% of total)

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

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

series68.0ms (0.6%)

Memory

6.1MiB live, 161.4MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (* x (+ 1 (* x (* x -1/6))))>
#<alt (+ 1 (* x (* x -1/6)))>
#<alt (* x (* x -1/6))>
#<alt (* x -1/6)>
#<alt (log (+ x x))>
#<alt (+ x x)>
#<alt (log (/ (+ -1/2 (/ 1/8 (* x x))) x))>
#<alt (/ (+ -1/2 (/ 1/8 (* x x))) x)>
#<alt (+ -1/2 (/ 1/8 (* x x)))>
#<alt (/ 1/8 (* x x))>
#<alt (log (/ (+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x)))))) x))>
#<alt (/ (+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x)))))) x)>
#<alt (+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x))))))>
#<alt (* x x)>
#<alt (* x (* x x))>
#<alt (* x (* x (* x x)))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<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 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (+ (log 1/8) (* -3 (log x)))>
#<alt (+ (log 1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))>
#<alt (+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))>
#<alt (+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (- (+ (log -1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ 1/8 (pow x 3))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))>
#<alt -1/2>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt -1/2>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* -2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* 6 (pow x 2)) 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* (pow x 2) (+ 6 (* 40/3 (pow x 2)))) 2))))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (- (+ (log -1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* 1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))>
#<alt -1/2>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))>
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))>
#<alt -1/2>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))>
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (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 (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>

Calls

48 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	(log (+ x x))
21.0ms	x	@	-inf	(log (+ x x))
8.0ms	x	@	inf	(log (+ x x))
1.0ms	x	@	-inf	(* x (* x -1/6))
1.0ms	x	@	0	(log (/ (+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x)))))) x))

rewrite125.0ms (1.1%)

Memory

-2.7MiB live, 233.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

790×	`-lowering-.f32`
790×	`-lowering-.f64`
716×	`/-lowering-/.f32`
716×	`/-lowering-/.f64`
534×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	123
1	138	113
0	1359	105

Stop Event

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

Counts

16 → 229

Calls

Call 1

Inputs
(* x (+ 1 (* x (* x -1/6))))
(+ 1 (* x (* x -1/6)))
(* x (* x -1/6))
(* x -1/6)
(log (+ x x))
(+ x x)
(log (/ (+ -1/2 (/ 1/8 (* x x))) x))
(/ (+ -1/2 (/ 1/8 (* x x))) x)
(+ -1/2 (/ 1/8 (* x x)))
(/ 1/8 (* x x))
(log (/ (+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x)))))) x))
(/ (+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x)))))) x)
(+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x))))))
(* x x)
(* x (* x x))
(* x (* x (* x x)))

Outputs
(+.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x) x)
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x)
(/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))) #s(literal 3 binary64))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))))) (-.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64))) x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/6 binary64))) x #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/6 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64)))))
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(.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal -1/16 binary64) x) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal -1/16 binary64) x) (.f64 x (*.f64 x x))))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) x)

simplify494.0ms (4.3%)

Memory

-21.6MiB live, 675.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 186×	`accelerator-lowering-fma.f32`
9 186×	`accelerator-lowering-fma.f64`
3 470×	`-lowering-.f32`
3 470×	`-lowering-.f64`
2 742×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	1350
1	391	1316
2	961	1316
3	2661	1316
4	7786	1316
0	8044	1254

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
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 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(+ (log 1/8) (* -3 (log x)))
(+ (log 1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+ (log -1/2) (log (/ 1 x)))
(- (+ (log -1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ 1/8 (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/ 1/8 (pow x 2))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* -2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* 6 (pow x 2)) 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* (pow x 2) (+ 6 (* 40/3 (pow x 2)))) 2))))
(+ (log -1/2) (log (/ 1 x)))
(- (+ (log -1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log -1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log -1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/ -1/16 (pow x 4))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (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)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)

Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(+ 1 (* -1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(+ 1 (* -1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(+ (log 1/8) (* -3 (log x)))
(+.f64 (log.f64 #s(literal 1/8 binary64)) (*.f64 (log.f64 x) #s(literal -3 binary64)))
(+ (log 1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))
(+.f64 (+.f64 (log.f64 #s(literal 1/8 binary64)) (.f64 (log.f64 x) #s(literal -3 binary64))) (.f64 (*.f64 x x) #s(literal -4 binary64)))
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+.f64 (+.f64 (log.f64 #s(literal 1/8 binary64)) (.f64 (log.f64 x) #s(literal -3 binary64))) (.f64 x (.f64 x (+.f64 #s(literal -4 binary64) (.f64 (*.f64 x x) #s(literal -8 binary64))))))
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+.f64 (+.f64 (log.f64 #s(literal 1/8 binary64)) (.f64 (log.f64 x) #s(literal -3 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -8 binary64) (.f64 (*.f64 x x) #s(literal -64/3 binary64)))))))
(+ (log -1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(- (+ (log -1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 x)))
(+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (-.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 x x))) (.f64 x x)) (log.f64 x)))
(- (+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (/.f64 (-.f64 #s(literal -1/32 binary64) (/.f64 #s(literal 1/192 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 x))))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/32 binary64) (.f64 x x))) (.f64 x x)) (log.f64 #s(literal 1/2 binary64))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (/.f64 (-.f64 #s(literal -1/32 binary64) (/.f64 #s(literal 1/192 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(/ 1/8 (pow x 3))
(/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x (.f64 x x)))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x (.f64 x x)))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x (.f64 x x)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x))
-1/2
#s(literal -1/2 binary64)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
-1/2
#s(literal -1/2 binary64)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(+ (log -1/16) (* -5 (log x)))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (*.f64 (log.f64 x) #s(literal -5 binary64)))
(+ (log -1/16) (+ (* -5 (log x)) (* -2 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (+.f64 (.f64 (log.f64 x) #s(literal -5 binary64)) (.f64 (*.f64 x x) #s(literal -2 binary64))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* 6 (pow x 2)) 2))))
(+.f64 (.f64 (log.f64 x) #s(literal -5 binary64)) (+.f64 (log.f64 #s(literal -1/16 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* (pow x 2) (+ 6 (* 40/3 (pow x 2)))) 2))))
(+.f64 (.f64 (log.f64 x) #s(literal -5 binary64)) (+.f64 (log.f64 #s(literal -1/16 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 6 binary64) (.f64 (*.f64 x x) #s(literal 40/3 binary64))))))))
(+ (log -1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(- (+ (log -1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 x)))
(- (+ (log -1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x)) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (.f64 x x))))
(- (+ (log -1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (log.f64 x)) (+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 5/192 binary64) (.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) x)))))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 5/192 binary64) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) x))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(/ -1/16 (pow x 5))
(/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) #s(literal 1/8 binary64))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))))) (.f64 x (.f64 x (.f64 x (.f64 x x)))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)
(/ -1/16 (pow x 4))
(/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))
(+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))
(+.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x x)) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))
(+.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x x)) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))
-1/2
#s(literal -1/2 binary64)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x))))))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x))))))
-1/2
#s(literal -1/2 binary64)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x))))))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x))))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))

eval48.0ms (0.4%)

Memory: 14.0MiB live, 128.7MiB allocated
Compiler: Compiled 10 100 to 1 085 computations (89.3% saved)

prune52.0ms (0.5%)

Memory

-26.9MiB live, 136.7MiB allocated

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	480	1	481
Fresh	0	10	10
Picked	0	5	5
Done	0	1	1
Total	480	17	497

Accuracy

100.0%

Counts

497 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	44.7%	(+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
	44.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
▶	46.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64))))))))
✓	44.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
	7.7%	(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
	7.8%	(log.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal 1 binary64))) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
✓	25.9%	(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
✓	26.7%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
▶	26.0%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
	29.6%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
	30.7%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
	22.6%	(log.f64 (+.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64))))
▶	2.5%	(log.f64 (+.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)))
▶	6.9%	(log.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))))
✓	22.6%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	29.7%	(log.f64 (+.f64 x x))
✓	47.0%	x

Compiler

Compiled 401 to 255 computations (36.4% saved)

simplify370.0ms (3.2%)

Memory

37.8MiB live, 749.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))
✓	cost-diff	0	(+.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))))
✓	cost-diff	128	(log.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
✓	cost-diff	0	(-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)
✓	cost-diff	0	(log.f64 (+.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)))
✓	cost-diff	256	(+.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
✓	cost-diff	0	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 x x))
✓	cost-diff	0	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64)))))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64))))))))

Rules

12 250×	`accelerator-lowering-fma.f32`
12 250×	`accelerator-lowering-fma.f64`
3 126×	`-lowering-.f32`
3 126×	`-lowering-.f64`
2 278×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	297
1	100	297
2	255	285
3	652	279
4	1142	279
5	1697	279
6	2639	279
7	3955	279
8	6910	279
0	8280	253

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (+ 1 (* x (* x (+ -1/6 (* x (* x 3/40)))))))
x
(+ 1 (* x (* x (+ -1/6 (* x (* x 3/40))))))
1
(* x (* x (+ -1/6 (* x (* x 3/40)))))
(* x (+ -1/6 (* x (* x 3/40))))
(+ -1/6 (* x (* x 3/40)))
-1/6
(* x (* x 3/40))
(* x 3/40)
3/40
(+ (* x (* -1/6 (* x x))) x)
(* x (* -1/6 (* x x)))
x
(* -1/6 (* x x))
-1/6
(* x x)
(log (/ -1/2 x))
(/ -1/2 x)
-1/2
x
(log (+ x (- (/ (+ -1/2 (/ 1/8 (* x x))) x) x)))
(+ x (- (/ (+ -1/2 (/ 1/8 (* x x))) x) x))
x
(- (/ (+ -1/2 (/ 1/8 (* x x))) x) x)
(/ (+ -1/2 (/ 1/8 (* x x))) x)
(+ -1/2 (/ 1/8 (* x x)))
-1/2
(/ 1/8 (* x x))
1/8
(* x x)
(log (+ x (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))))))
(+ x (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))))
x
(+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))))
1
(* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))
(* x x)
(+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))
1/2
(* (* x x) (+ -1/8 (* x (* x 1/16))))
(+ -1/8 (* x (* x 1/16)))
-1/8
(* x (* x 1/16))
(* x 1/16)
1/16

Outputs
(* x (+ 1 (* x (* x (+ -1/6 (* x (* x 3/40)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x x))) (*.f64 x x))))
x
(+ 1 (* x (* x (+ -1/6 (* x (* x 3/40))))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x x))) (.f64 x x)))
1
#s(literal 1 binary64)
(* x (* x (+ -1/6 (* x (* x 3/40)))))
(.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x x))) (.f64 x x))
(* x (+ -1/6 (* x (* x 3/40))))
(.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 3/40 binary64) (*.f64 x x))))
(+ -1/6 (* x (* x 3/40)))
(+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x x)))
-1/6
#s(literal -1/6 binary64)
(* x (* x 3/40))
(.f64 #s(literal 3/40 binary64) (.f64 x x))
(* x 3/40)
(*.f64 x #s(literal 3/40 binary64))
3/40
#s(literal 3/40 binary64)
(+ (* x (* -1/6 (* x x))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* x (* -1/6 (* x x)))
(.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))
x
(* -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)
(log (/ -1/2 x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
x
(log (+ x (- (/ (+ -1/2 (/ 1/8 (* x x))) x) x)))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(+ x (- (/ (+ -1/2 (/ 1/8 (* x x))) x) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
x
(- (/ (+ -1/2 (/ 1/8 (* x x))) x) x)
(-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)
(/ (+ -1/2 (/ 1/8 (* x x))) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(+ -1/2 (/ 1/8 (* x x)))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
-1/2
#s(literal -1/2 binary64)
(/ 1/8 (* x x))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
1/8
#s(literal 1/8 binary64)
(* x x)
(*.f64 x x)
(log (+ x (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))))))
(log1p.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))))
(+ x (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))))
x
(+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))
1
#s(literal 1 binary64)
(* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))
(* x x)
(*.f64 x x)
(+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))
1/2
#s(literal 1/2 binary64)
(* (* x x) (+ -1/8 (* x (* x 1/16))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))
(+ -1/8 (* x (* x 1/16)))
(+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))
-1/8
#s(literal -1/8 binary64)
(* x (* x 1/16))
(.f64 (.f64 x x) #s(literal 1/16 binary64))
(* x 1/16)
(*.f64 x #s(literal 1/16 binary64))
1/16
#s(literal 1/16 binary64)

localize176.0ms (1.5%)

Memory

-0.2MiB live, 271.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 1/16 binary64))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))
✓	accuracy	78.4%	(log.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(log.f64 (+.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)))
✓	accuracy	99.9%	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓	accuracy	76.1%	(+.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
✓	accuracy	100.0%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))
✓	accuracy	99.9%	(.f64 #s(literal -1/6 binary64) (.f64 x x))
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal 3/40 binary64)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64)))))
✓	accuracy	99.9%	(*.f64 x #s(literal 3/40 binary64))

Samples

64.0ms	190×	0	invalid
58.0ms	65×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 295 to 39 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-mult: 36.0ms (36.9% of total)

const: 25.0ms (25.6% of total)

ival-add: 12.0ms (12.3% of total)

ival-log: 10.0ms (10.2% of total)

ival-div: 8.0ms (8.2% of total)

adjust: 3.0ms (3.1% of total)

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

exact: 1.0ms (1% of total)

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

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

series64.0ms (0.6%)

Memory

-16.3MiB live, 101.0MiB allocated

Counts

23 → 276

Calls

Call 1

Inputs
#<alt (* x (+ 1 (* x (* x (+ -1/6 (* x (* x 3/40)))))))>
#<alt (+ 1 (* x (* x (+ -1/6 (* x (* x 3/40))))))>
#<alt (* x (* x (+ -1/6 (* x (* x 3/40)))))>
#<alt (* x (+ -1/6 (* x (* x 3/40))))>
#<alt (+ (* x (* -1/6 (* x x))) x)>
#<alt (* x (* -1/6 (* x x)))>
#<alt (* -1/6 (* x x))>
#<alt (* x x)>
#<alt (log (/ -1/2 x))>
#<alt (/ -1/2 x)>
#<alt (+ x (- (/ (+ -1/2 (/ 1/8 (* x x))) x) x))>
#<alt (log (+ x (- (/ (+ -1/2 (/ 1/8 (* x x))) x) x)))>
#<alt (- (/ (+ -1/2 (/ 1/8 (* x x))) x) x)>
#<alt (/ (+ -1/2 (/ 1/8 (* x x))) x)>
#<alt (log (+ x (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))))))>
#<alt (+ x (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))))>
#<alt (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))))>
#<alt (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))>
#<alt (* x 3/40)>
#<alt (* x (* x 3/40))>
#<alt (/ 1/8 (* x x))>
#<alt (* (* x x) (+ -1/8 (* x (* x 1/16))))>
#<alt (* x 1/16)>

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))>
#<alt (* 3/40 (pow x 4))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 4))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* 3/40 (pow x 4))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 4))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* 3/40 (pow x 3))>
#<alt (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (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 (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ 1/8 (pow x 3))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (+ (log 1/8) (* -3 (log x)))>
#<alt (+ (log 1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))>
#<alt (+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))>
#<alt (+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (- (+ (log -1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ 1/8 (pow x 3))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/8 (* (pow x 2) (- (* -1 (pow x 2)) 1/2))) (pow x 3))>
#<alt (/ (+ 1/8 (* (pow x 2) (- (* -1 (pow x 2)) 1/2))) (pow x 3))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (/ 1/8 (pow x 3))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (+ (log 1/16) (* -6 (log (/ 1 x))))>
#<alt (- (+ (log 1/16) (* -6 (log (/ 1 x)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (+ (* 16 (/ 1 (pow x 5))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))>
#<alt (+ (log 1/16) (* -6 (log (/ -1 x))))>
#<alt (- (+ (log 1/16) (* -6 (log (/ -1 x)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (+ (* 16 (/ 1 (pow x 5))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 5)))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 5)))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 6)))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 6)))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))>
#<alt (* 1/16 (pow x 4))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 4))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>
#<alt (* 1/16 x)>

Calls

69 calls:

Time	Variable		Point	Expression
28.0ms	x	@	-inf	(log (/ -1/2 x))
16.0ms	x	@	0	(log (/ -1/2 x))
6.0ms	x	@	inf	(log (/ -1/2 x))
2.0ms	x	@	inf	(* x 3/40)
0.0ms	x	@	inf	(log (+ x (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))))))

rewrite506.0ms (4.4%)

Memory

31.6MiB live, 548.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 194×	`accelerator-lowering-fma.f32`
5 194×	`accelerator-lowering-fma.f64`
4 750×	`-lowering-.f32`
4 750×	`-lowering-.f64`
4 190×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	232
1	240	226
2	2187	226
0	9184	201

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 600

Calls

Call 1

Inputs
(* x (+ 1 (* x (* x (+ -1/6 (* x (* x 3/40)))))))
(+ 1 (* x (* x (+ -1/6 (* x (* x 3/40))))))
(* x (* x (+ -1/6 (* x (* x 3/40)))))
(* x (+ -1/6 (* x (* x 3/40))))
(+ (* x (* -1/6 (* x x))) x)
(* x (* -1/6 (* x x)))
(* -1/6 (* x x))
(* x x)
(log (/ -1/2 x))
(/ -1/2 x)
(+ x (- (/ (+ -1/2 (/ 1/8 (* x x))) x) x))
(log (+ x (- (/ (+ -1/2 (/ 1/8 (* x x))) x) x)))
(- (/ (+ -1/2 (/ 1/8 (* x x))) x) x)
(/ (+ -1/2 (/ 1/8 (* x x))) x)
(log (+ x (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))))))
(+ x (+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))))
(+ 1 (* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))))
(* (* x x) (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))
(* x 3/40)
(* x (* x 3/40))
(/ 1/8 (* x x))
(* (* x x) (+ -1/8 (* x (* x 1/16))))
(* x 1/16)

Outputs
(+.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (*.f64 x x)))
(+.f64 (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (*.f64 x x)) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x x)))) (/.f64 (.f64 (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x x))) (-.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x x)))))
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (*.f64 x x)))
(fma.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x x)) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (*.f64 x x)))
(fma.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x x) x)
(fma.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x x)) x x)
(fma.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) x)
(fma.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) x)
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))))))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x x))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (*.f64 x x))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x x)))) (-.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (*.f64 x x))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x x))))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x x)))) x) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x x))))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))))))))) (neg.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x x))) (.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x x))))) (neg.f64 (-.f64 x (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x x))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x x)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x x)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x x))))) x)) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x x)) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x x)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x x)))) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x x)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))))))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x x)) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x x))) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (*.f64 x x)) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (*.f64 x x))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (*.f64 x x))) x)
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x x)))
(+.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x x)))) (/.f64 (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (*.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x x))) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (*.f64 x x)) #s(literal 1 binary64))))
(fma.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64))))) x #s(literal 1 binary64))
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(/.f64 (neg.f64 (+.f64 (.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (neg.f64 (+.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (.f64 (.f64 x x) #s(literal -1/8 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/16 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (.f64 (.f64 x x) (.f64 x (*.f64 x #s(literal 1/16 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (.f64 (.f64 x x) #s(literal -1/8 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/16 binary64))))))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64)))))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/256 binary64))))) (neg.f64 (-.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64)))) (.f64 x x))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x #s(literal 1/16 binary64))) (-.f64 (.f64 x (*.f64 x #s(literal 1/16 binary64))) #s(literal -1/8 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/256 binary64))) (.f64 x x))) (neg.f64 (-.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1/4096 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/16 binary64))))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (.f64 (.f64 x x) #s(literal -1/8 binary64))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 (*.f64 x x) #s(literal -1/8 binary64))))))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))
(.f64 (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))) x)
(*.f64 x #s(literal 1/16 binary64))
(*.f64 #s(literal 1/16 binary64) x)

simplify958.0ms (8.4%)

Memory

-37.0MiB live, 538.5MiB allocated

Algorithm

1×	egg-herbie

Rules

18 860×	`accelerator-lowering-fma.f32`
18 860×	`accelerator-lowering-fma.f64`
4 214×	`-lowering-.f32`
4 214×	`-lowering-.f64`
4 050×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	2296
1	569	2246
2	1496	2242
3	4244	2194
0	8401	2105

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* -1/6 x)
(* x (- (* 3/40 (pow x 2)) 1/6))
(* x (- (* 3/40 (pow x 2)) 1/6))
(* x (- (* 3/40 (pow x 2)) 1/6))
(* 3/40 (pow x 3))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(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)
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ -1 x)))
(+ (log 1/2) (log (/ -1 x)))
(+ (log 1/2) (log (/ -1 x)))
(+ (log 1/2) (log (/ -1 x)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ 1/8 (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(+ (log 1/8) (* -3 (log x)))
(+ (log 1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+ (log -1/2) (log (/ 1 x)))
(- (+ (log -1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ 1/8 (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ (+ 1/8 (* (pow x 2) (- (* -1 (pow x 2)) 1/2))) (pow x 3))
(/ (+ 1/8 (* (pow x 2) (- (* -1 (pow x 2)) 1/2))) (pow x 3))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(/ 1/8 (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 1/16) (* -6 (log (/ 1 x))))
(- (+ (log 1/16) (* -6 (log (/ 1 x)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (+ (* 16 (/ 1 (pow x 5))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
(+ (log 1/16) (* -6 (log (/ -1 x))))
(- (+ (log 1/16) (* -6 (log (/ -1 x)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (+ (* 16 (/ 1 (pow x 5))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 5)))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 5)))) (* 1/8 (/ 1 (pow x 2)))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 6)))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 6)))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(* 1/16 (pow x 4))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 4))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)
(* 1/16 x)

Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64))))))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64))))))
(* 3/40 (pow x 4))
(.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
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(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x #s(literal -5/112 binary64))))))))))
(+ (log 1/16) (* -6 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 1/16 binary64)) (*.f64 (log.f64 x) #s(literal 6 binary64)))
(- (+ (log 1/16) (* -6 (log (/ 1 x)))) (* 2 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 1/16 binary64)) (+.f64 (.f64 (log.f64 x) #s(literal 6 binary64)) (/.f64 #s(literal -2 binary64) (.f64 x x))))
(- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(+.f64 (+.f64 (+.f64 (log.f64 #s(literal 1/16 binary64)) (.f64 (log.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (+ (* 16 (/ 1 (pow x 5))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
(+.f64 (+.f64 (log.f64 #s(literal 1/16 binary64)) (.f64 (log.f64 x) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))
(+ (log 1/16) (* -6 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal 1/16 binary64)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64)))
(- (+ (log 1/16) (* -6 (log (/ -1 x)))) (* 2 (/ 1 (pow x 2))))
(+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64)) (+.f64 (log.f64 #s(literal 1/16 binary64)) (/.f64 #s(literal -2 binary64) (.f64 x x))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64)) (+.f64 (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (log.f64 #s(literal 1/16 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (+ (* 16 (/ 1 (pow x 5))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
(+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) (log.f64 #s(literal 1/16 binary64))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))))
(* 1/16 (pow x 6))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 5)))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))))
(* 1/16 (pow x 6))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 5)))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))
(* 1/16 (pow x 6))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 6)))) (* 1/8 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))))
(* 1/16 (pow x 6))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 6)))) (* 1/8 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))))
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))
(* 1/16 (pow x 6))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))
(* 1/16 (pow x 6))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(* -1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/8 binary64))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))
(* 1/16 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/16 binary64))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* 1/16 (pow x 4))
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/16 binary64))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))
(* 1/16 x)
(*.f64 x #s(literal 1/16 binary64))

eval263.0ms (2.3%)

Memory: 11.5MiB live, 155.0MiB allocated
Compiler: Compiled 31 372 to 2 861 computations (90.9% saved)

prune177.0ms (1.6%)

Memory

-15.0MiB live, 122.0MiB allocated

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	940	2	942
Fresh	0	6	6
Picked	1	4	5
Done	0	6	6
Total	941	18	959

Accuracy

100.0%

Counts

959 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.7%	(+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
▶	44.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
✓	46.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64))))))))
✓	44.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
▶	7.7%	(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
▶	46.2%	(log1p.f64 (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))) x))
	7.8%	(log.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal 1 binary64))) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
	5.7%	(log.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))))) (-.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))))))
✓	25.9%	(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
✓	26.7%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
✓	26.0%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
▶	29.6%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
	30.7%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
▶	22.6%	(log.f64 (+.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64))))
✓	2.5%	(log.f64 (+.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)))
✓	22.6%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	29.7%	(log.f64 (+.f64 x x))
✓	47.0%	x

Compiler

Compiled 485 to 262 computations (46% saved)

simplify411.0ms (3.6%)

Memory

43.5MiB live, 547.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
✓	cost-diff	64	(pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	128	(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
✓	cost-diff	512	(+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓	cost-diff	0	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64))
✓	cost-diff	0	(+.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
✓	cost-diff	0	(log.f64 (+.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64))))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
✓	cost-diff	0	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x 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) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 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 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal 1/16 binary64)))))))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))) x)
✓	cost-diff	0	(log1p.f64 (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))) x))

Rules

11 770×	`accelerator-lowering-fma.f32`
11 770×	`accelerator-lowering-fma.f64`
3 216×	`+-lowering-+.f64`
3 216×	`+-lowering-+.f32`
2 864×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	426
1	133	426
2	372	392
3	1114	384
4	2195	384
5	3963	384
6	4467	384
7	5898	384
0	8152	343

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(log (+ 1 (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))) x)))
(+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))) x)
(* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))))
x
(* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))
(+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))
1/2
(* (* x x) (+ -1/8 (* x (* x 1/16))))
(* x x)
(+ -1/8 (* x (* x 1/16)))
-1/8
(* x (* x 1/16))
(* x 1/16)
1/16
(* x (+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))))))
x
(+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112))))))
1
(* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))))
(* x x)
(+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112))))
-1/6
(* (* x x) (+ 3/40 (* (* x x) -5/112)))
(+ 3/40 (* (* x x) -5/112))
3/40
(* (* x x) -5/112)
-5/112
(log (+ (* x 2) (/ (- 1/2 (/ 1/8 (* x x))) x)))
(+ (* x 2) (/ (- 1/2 (/ 1/8 (* x x))) x))
(* x 2)
x
2
(/ (- 1/2 (/ 1/8 (* x x))) x)
(- 1/2 (/ 1/8 (* x x)))
1/2
(/ 1/8 (* x x))
1/8
(* x x)
(log (+ x (pow (/ 1 (+ (* x x) 1)) -1/2)))
(+ x (pow (/ 1 (+ (* x x) 1)) -1/2))
x
(pow (/ 1 (+ (* x x) 1)) -1/2)
(/ 1 (+ (* x x) 1))
1
(+ (* x x) 1)
(* x x)
-1/2
(neg (log (/ (- (pow (+ (* x x) 1) 1/2) x) (+ (* x x) (- 1 (* x x))))))
(log (/ (- (pow (+ (* x x) 1) 1/2) x) (+ (* x x) (- 1 (* x x)))))
(/ (- (pow (+ (* x x) 1) 1/2) x) (+ (* x x) (- 1 (* x x))))
(- (pow (+ (* x x) 1) 1/2) x)
(pow (+ (* x x) 1) 1/2)
(+ (* x x) 1)
(* x x)
x
1
1/2
(+ (* x x) (- 1 (* x x)))
(- 1 (* x x))

Outputs
(log (+ 1 (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))) x)))
(log1p.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))))))
(+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))))
(* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))))
(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))))
x
(* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal 1/16 binary64))))))))
(+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))
1/2
#s(literal 1/2 binary64)
(* (* x x) (+ -1/8 (* x (* x 1/16))))
(.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))
(* x x)
(*.f64 x x)
(+ -1/8 (* x (* x 1/16)))
(+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))
-1/8
#s(literal -1/8 binary64)
(* x (* x 1/16))
(.f64 x (.f64 x #s(literal 1/16 binary64)))
(* x 1/16)
(*.f64 x #s(literal 1/16 binary64))
1/16
#s(literal 1/16 binary64)
(* x (+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
x
(+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))
(* x x)
(*.f64 x x)
(+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112))))
(+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))
-1/6
#s(literal -1/6 binary64)
(* (* x x) (+ 3/40 (* (* x x) -5/112)))
(.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))
(+ 3/40 (* (* x x) -5/112))
(+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))
3/40
#s(literal 3/40 binary64)
(* (* x x) -5/112)
(.f64 (.f64 x x) #s(literal -5/112 binary64))
-5/112
#s(literal -5/112 binary64)
(log (+ (* x 2) (/ (- 1/2 (/ 1/8 (* x x))) x)))
(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))
(+ (* x 2) (/ (- 1/2 (/ 1/8 (* x x))) x))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(/ (- 1/2 (/ 1/8 (* x x))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(- 1/2 (/ 1/8 (* x x)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
1/2
#s(literal 1/2 binary64)
(/ 1/8 (* x x))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
1/8
#s(literal 1/8 binary64)
(* x x)
(*.f64 x x)
(log (+ x (pow (/ 1 (+ (* x x) 1)) -1/2)))
(log.f64 (+.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/2 binary64))))
(+ x (pow (/ 1 (+ (* x x) 1)) -1/2))
(+.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/2 binary64)))
x
(pow (/ 1 (+ (* x x) 1)) -1/2)
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1/2 binary64))
(/ 1 (+ (* x x) 1))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(+ (* x x) 1)
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
-1/2
#s(literal -1/2 binary64)
(neg (log (/ (- (pow (+ (* x x) 1) 1/2) x) (+ (* x x) (- 1 (* x x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
(log (/ (- (pow (+ (* x x) 1) 1/2) x) (+ (* x x) (- 1 (* x x)))))
(log.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(/ (- (pow (+ (* x x) 1) 1/2) x) (+ (* x x) (- 1 (* x x))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(- (pow (+ (* x x) 1) 1/2) x)
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(pow (+ (* x x) 1) 1/2)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ (* x x) 1)
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
x
1
#s(literal 1 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* x x) (- 1 (* x x)))
#s(literal 1 binary64)
(- 1 (* x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))

localize305.0ms (2.7%)

Memory

-19.7MiB live, 498.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	87.2%	(pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
✓	accuracy	83.0%	(log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
✓	accuracy	72.8%	(-.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x)
✓	accuracy	72.4%	(+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x)))
✓	accuracy	100.0%	(+.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓	accuracy	88.1%	(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64))
✓	accuracy	83.1%	(log.f64 (+.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64))))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
✓	accuracy	99.3%	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓	accuracy	86.8%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
✓	accuracy	99.9%	(.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))
✓	accuracy	99.9%	(.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))
✓	accuracy	99.5%	(.f64 (.f64 x x) #s(literal -5/112 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal 1/16 binary64)))))))
✓	accuracy	100.0%	(.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))
✓	accuracy	99.9%	(.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))
✓	accuracy	77.3%	(log1p.f64 (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))) x))

Samples

123.0ms	100×	1	valid
57.0ms	20×	2	valid
48.0ms	131×	0	invalid
2.0ms	5×	0	valid

Compiler

Compiled 429 to 48 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-log1p: 44.0ms (22.5% of total)

ival-log: 36.0ms (18.4% of total)

ival-pow: 28.0ms (14.3% of total)

ival-mult: 25.0ms (12.8% of total)

ival-add: 19.0ms (9.7% of total)

const: 12.0ms (6.1% of total)

ival-div: 11.0ms (5.6% of total)

adjust: 8.0ms (4.1% of total)

ival-sub: 6.0ms (3.1% of total)

ival-sqrt: 3.0ms (1.5% of total)

ival-neg: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

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

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

series15.0ms (0.1%)

Memory

-5.1MiB live, 34.0MiB allocated

Counts

25 → 300

Calls

Call 1

Inputs
#<alt (log (+ 1 (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))) x)))>
#<alt (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))) x)>
#<alt (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))))>
#<alt (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))>
#<alt (* x (+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))))))>
#<alt (+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112))))))>
#<alt (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))))>
#<alt (* x x)>
#<alt (log (+ (* x 2) (/ (- 1/2 (/ 1/8 (* x x))) x)))>
#<alt (+ (* x 2) (/ (- 1/2 (/ 1/8 (* x x))) x))>
#<alt (* x 2)>
#<alt (/ (- 1/2 (/ 1/8 (* x x))) x)>
#<alt (log (+ x (pow (/ 1 (+ (* x x) 1)) -1/2)))>
#<alt (+ x (pow (/ 1 (+ (* x x) 1)) -1/2))>
#<alt (pow (/ 1 (+ (* x x) 1)) -1/2)>
#<alt (/ 1 (+ (* x x) 1))>
#<alt (+ (* x x) (- 1 (* x x)))>
#<alt (/ (- (pow (+ (* x x) 1) 1/2) x) (+ (* x x) (- 1 (* x x))))>
#<alt (pow (+ (* x x) 1) 1/2)>
#<alt (log (/ (- (pow (+ (* x x) 1) 1/2) x) (+ (* x x) (- 1 (* x x)))))>
#<alt (* (* x x) (+ -1/8 (* x (* x 1/16))))>
#<alt (* (* x x) -5/112)>
#<alt (* (* x x) (+ 3/40 (* (* x x) -5/112)))>
#<alt (/ 1/8 (* x x))>
#<alt (- (pow (+ (* x x) 1) 1/2) x)>

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (+ (log 1/16) (* -6 (log (/ 1 x))))>
#<alt (- (+ (log 1/16) (* -6 (log (/ 1 x)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (+ (* 16 (/ 1 (pow x 5))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))>
#<alt (+ (log 1/16) (* -6 (log (/ -1 x))))>
#<alt (- (+ (log 1/16) (* -6 (log (/ -1 x)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (+ (* 16 (/ 1 (pow x 5))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 x)))>
#<alt (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))>
#<alt (* x (+ 1 (* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 5)))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 5)))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))>
#<alt (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 6))>
#<alt (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/8 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))>
#<alt (* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))>
#<alt (* 1/16 (pow x 5))>
#<alt (* (pow x 5) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) 1/16)))>
#<alt (* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) (+ 1/16 (/ 1/2 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) (+ 1/16 (/ 1/2 (pow x 4))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (* -5/112 (pow x 7))>
#<alt (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* -5/112 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (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 (+ (log -1/8) (* -3 (log x)))>
#<alt (+ (log -1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -24 (pow x 2)) 4))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -256/3 (pow x 2)) 24)) 4))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* 2 (pow x 2)))) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* 2 (pow x 2)))) 1/8) (pow x 3))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ 1/2 x)>
#<alt (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (pow x 2) 1)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (- 1 (/ 1 (pow x 2))) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (- 1 (/ 1 (pow x 2))) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))>
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 1)))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)>
#<alt (* -2 x)>
#<alt (* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/6 (pow x 2)) 1))>
#<alt (* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))>
#<alt (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))>
#<alt (+ (log 1/2) (log (/ 1 x)))>
#<alt (- (+ (log 1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))>
#<alt (+ (log 2) (* -1 (log (/ -1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))>
#<alt (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))>
#<alt (* 1/16 (pow x 4))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* 1/16 (pow x 4))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))>
#<alt (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))>
#<alt (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))>
#<alt (* -5/112 (pow x 4))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* -5/112 (pow x 4))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 1)))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)>
#<alt (* -2 x)>
#<alt (* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>

Calls

75 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* (* x x) (+ -1/8 (* x (* x 1/16))))
0.0ms	x	@	0	(log (/ (- (pow (+ (* x x) 1) 1/2) x) (+ (* x x) (- 1 (* x x)))))
0.0ms	x	@	0	(log (+ (* x 2) (/ (- 1/2 (/ 1/8 (* x x))) x)))
0.0ms	x	@	-inf	(log (+ (* x 2) (/ (- 1/2 (/ 1/8 (* x x))) x)))
0.0ms	x	@	-inf	(* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))

rewrite381.0ms (3.3%)

Memory

42.8MiB live, 776.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 152×	`-lowering-.f32`
5 152×	`-lowering-.f64`
3 918×	`accelerator-lowering-fma.f32`
3 918×	`accelerator-lowering-fma.f64`
2 770×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	306
1	332	275
2	3155	275
0	8523	239

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 660

Calls

Call 1

Inputs
(log (+ 1 (+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))) x)))
(+ (* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))) x)
(* x (* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16)))))))
(* x (+ 1/2 (* (* x x) (+ -1/8 (* x (* x 1/16))))))
(* x (+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))))))
(+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112))))))
(* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))))
(* x x)
(log (+ (* x 2) (/ (- 1/2 (/ 1/8 (* x x))) x)))
(+ (* x 2) (/ (- 1/2 (/ 1/8 (* x x))) x))
(* x 2)
(/ (- 1/2 (/ 1/8 (* x x))) x)
(log (+ x (pow (/ 1 (+ (* x x) 1)) -1/2)))
(+ x (pow (/ 1 (+ (* x x) 1)) -1/2))
(pow (/ 1 (+ (* x x) 1)) -1/2)
(/ 1 (+ (* x x) 1))
(+ (* x x) (- 1 (* x x)))
(/ (- (pow (+ (* x x) 1) 1/2) x) (+ (* x x) (- 1 (* x x))))
(pow (+ (* x x) 1) 1/2)
(log (/ (- (pow (+ (* x x) 1) 1/2) x) (+ (* x x) (- 1 (* x x)))))
(* (* x x) (+ -1/8 (* x (* x 1/16))))
(* (* x x) -5/112)
(* (* x x) (+ 3/40 (* (* x x) -5/112)))
(/ 1/8 (* x x))
(- (pow (+ (* x x) 1) 1/2) x)

Outputs
(log.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))) #s(literal 1 binary64)) x)))
(+.f64 (log1p.f64 (.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))) #s(literal 1 binary64)) x) (.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))) #s(literal 1 binary64)) x) (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))) #s(literal 1 binary64)) x)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))) #s(literal 1 binary64)) x) (-.f64 (.f64 (+.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x #s(literal 1/16 binary64))))))) #s(literal 1 binary64)) x) #s(literal 1 binary64)))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/8 binary64) x)))
(/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/.f64 #s(literal 1/8 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64))))
(/.f64 (/.f64 #s(literal 1/8 binary64) x) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1/8 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 1/8 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))
(.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/8 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(*.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 (.f64 x x) (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal -1 binary64) x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x))))) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (pow.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (pow.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 x (*.f64 x x)))) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/4 binary64))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64))) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (neg.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x))) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (.f64 x x) (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))))))))
(pow.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x x))))))
(.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))))))

simplify517.0ms (4.5%)

Memory

-12.7MiB live, 879.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 826×	`accelerator-lowering-fma.f32`
9 826×	`accelerator-lowering-fma.f64`
5 192×	`+-lowering-+.f64`
5 192×	`+-lowering-+.f32`
3 892×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	319	3119
1	878	3069
2	2456	3024
3	7318	3023
0	8236	2909

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 1/16) (* -6 (log (/ 1 x))))
(- (+ (log 1/16) (* -6 (log (/ 1 x)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (+ (* 16 (/ 1 (pow x 5))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
(+ (log 1/16) (* -6 (log (/ -1 x))))
(- (+ (log 1/16) (* -6 (log (/ -1 x)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (+ (* 16 (/ 1 (pow x 5))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
x
(* x (+ 1 (* 1/2 x)))
(* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))
(* x (+ 1 (* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 5)))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 5)))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 6))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/2 x)
(* x (+ 1/2 (* -1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(* 1/16 (pow x 5))
(* (pow x 5) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) 1/16)))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) (+ 1/16 (/ 1/2 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) (+ 1/16 (/ 1/2 (pow x 4))))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(* -5/112 (pow x 7))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 7))
(* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (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)
(+ (log -1/8) (* -3 (log x)))
(+ (log -1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -24 (pow x 2)) 4))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -256/3 (pow x 2)) 24)) 4))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(/ -1/8 (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (+ 1/2 (* 2 (pow x 2)))) 1/8) (pow x 3))
(/ (- (* (pow x 2) (+ 1/2 (* 2 (pow x 2)))) 1/8) (pow x 3))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ -1/8 (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/ 1/2 x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ 1/2 x)
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* (pow x 2) (- (pow x 2) 1)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))
(/ 1 (pow x 2))
(/ (- 1 (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))
(/ 1 (pow x 2))
(/ (- 1 (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))
1
1
1
1
1
1
1
1
1
1
1
1
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 1)))
(/ 1/2 x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)
(* -2 x)
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(* -1 x)
(* x (- (* 1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))
(+ (log 1/2) (log (/ 1 x)))
(- (+ (log 1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(+ (log 2) (* -1 (log (/ -1 x))))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(* 1/16 (pow x 4))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* 1/16 (pow x 4))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* 3/40 (pow x 2))
(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))
(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))
(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))
(* -5/112 (pow x 4))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* -5/112 (pow x 4))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 1)))
(/ 1/2 x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)
(* -2 x)
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))

Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
(+ (log 1/16) (* -6 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 1/16 binary64)) (*.f64 #s(literal 6 binary64) (log.f64 x)))
(- (+ (log 1/16) (* -6 (log (/ 1 x)))) (* 2 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 1/16 binary64)) (+.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (/.f64 #s(literal -2 binary64) (.f64 x x))))
(- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 1/16 binary64)) (+.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (+.f64 (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))
(- (+ (log 1/16) (+ (* -6 (log (/ 1 x))) (+ (* 16 (/ 1 (pow x 5))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) (+.f64 (+.f64 (log.f64 #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(+ (log 1/16) (* -6 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal 1/16 binary64)) (*.f64 #s(literal -6 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ (log 1/16) (* -6 (log (/ -1 x)))) (* 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal -6 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 1/16 binary64)) (/.f64 #s(literal -2 binary64) (.f64 x x))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (/ 6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 1/16 binary64)) (+.f64 (.f64 #s(literal -6 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))
(- (+ (log 1/16) (+ (* -6 (log (/ -1 x))) (+ (* 16 (/ 1 (pow x 5))) (/ 6 (pow x 4))))) (* 2 (/ 1 (pow x 2))))
(+.f64 (.f64 #s(literal -6 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (+.f64 (log.f64 #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 5 binary64))))) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
x
(* x (+ 1 (* 1/2 x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))
(* x (+ 1 (* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))
(* 1/16 (pow x 6))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 5)))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/16 (pow x 6))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 5)))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 1/2 (pow x 2))
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))
(* 1/16 (pow x 6))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 1/16 (pow x 6))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/8 (pow x 2))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal 1/16 binary64))))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))
(.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (*.f64 x x) #s(literal 1/16 binary64))))))
(* 1/16 (pow x 5))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 5) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 1/16 (pow x 5))
(*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) 1/16)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) (+ 1/16 (/ 1/2 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1 (* (pow x 5) (- (* 1/8 (/ 1 (pow x 2))) (+ 1/16 (/ 1/2 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (*.f64 x x))))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
(* -5/112 (pow x 7))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (.f64 x x))))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -5/112 binary64) (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 5/112 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(* -5/112 (pow x 7))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -5/112 binary64) (.f64 (/.f64 #s(literal -3/40 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -5/112 binary64) (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 5/112 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))
(* -5/112 (pow x 6))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
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(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (- 1 (/ 1 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (- 1 (/ 1 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (*.f64 x x))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 x x))
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (/.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(* -1 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(.f64 (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 1/2 binary64))))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64)))))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (neg.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 1/6 (pow x 2)) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) #s(literal -3/40 binary64))))))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -3/40 binary64) (.f64 (*.f64 x x) #s(literal 5/112 binary64))))))))
(+ (log 1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(- (+ (log 1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (.f64 x x))))
(- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(+.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)) (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+ (log 2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x))))))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* -1/8 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/8 binary64))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))
(* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))
(.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))
(* 1/16 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/16 binary64))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* 1/16 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal 1/16 binary64))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))))
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* 3/40 (pow x 2))
(.f64 x (.f64 x #s(literal 3/40 binary64)))
(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))
(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))
(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))
(.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))
(* -5/112 (pow x 4))
(.f64 x (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))))
(* -5/112 (pow x 4))
(.f64 x (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x x))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (/.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(* -1 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(.f64 (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) x))

eval165.0ms (1.4%)

Memory: 12.7MiB live, 357.0MiB allocated
Compiler: Compiled 30 438 to 3 596 computations (88.2% saved)

prune142.0ms (1.2%)

Memory

-16.3MiB live, 272.4MiB allocated

Pruning

22 alts after pruning (9 fresh and 13 done)

	Pruned	Kept	Total
New	1 129	7	1 136
Fresh	1	2	3
Picked	1	4	5
Done	1	9	10
Total	1 132	22	1 154

Accuracy

100.0%

Counts

1 154 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	44.7%	(+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
✓	44.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
✓	46.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64))))))))
✓	44.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
	44.3%	(.f64 x (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))))
	19.3%	(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
	1.7%	(neg.f64 (log.f64 (/.f64 (-.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))) x) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))))))
	25.9%	(neg.f64 (log.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))))
	26.5%	(neg.f64 (log.f64 (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))))
✓	46.2%	(log1p.f64 (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))) x))
	51.9%	(log1p.f64 x)
	5.7%	(log.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))))) (-.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))))))
✓	25.9%	(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
✓	26.7%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
✓	26.0%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
	29.6%	(log.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (*.f64 x #s(literal 2 binary64)))))
✓	29.6%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
	30.7%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
✓	22.6%	(log.f64 (+.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64))))
✓	22.6%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	29.7%	(log.f64 (+.f64 x x))
✓	47.0%	x

Compiler

Compiled 862 to 356 computations (58.7% saved)

regimes25.0ms (0.2%)

Memory

6.7MiB live, 44.5MiB allocated

Counts

26 → 3

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(.f64 x (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))))
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(neg.f64 (log.f64 (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))))
(log.f64 (+.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)))
(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
(log.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (*.f64 x #s(literal 2 binary64)))))
(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
(log1p.f64 (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))) x))
(neg.f64 (log.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))))
(log.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))))
(neg.f64 (log.f64 (/.f64 (-.f64 (.f64 x (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))) x) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))))))
(log.f64 (/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64))))))))))) (-.f64 (-.f64 x #s(literal 1 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 x (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal -1/2 binary64))))
(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(log.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal 1 binary64))) (-.f64 x (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)))))
(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) x) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))

Outputs

(neg.f64 (log.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))))

(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))

(log.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 2 binary64)))))

Calls

3 calls:

10.0ms	x
6.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
6.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
99.3%	3	`x`
85.6%	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
85.6%	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

17 → 3

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(.f64 x (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))))
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(neg.f64 (log.f64 (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))))
(log.f64 (+.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)))
(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
(log.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (*.f64 x #s(literal 2 binary64)))))
(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
(log1p.f64 (+.f64 (.f64 x (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x #s(literal 1/16 binary64)))))))) x))

Outputs

(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x))

(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))

(log.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 2 binary64)))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.3%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Memory

-25.1MiB live, 11.5MiB allocated

Counts

15 → 3

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(.f64 x (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))))
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(neg.f64 (log.f64 (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))))
(log.f64 (+.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)))
(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
(log.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (*.f64 x #s(literal 2 binary64)))))

Outputs

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

(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))

(log.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 2 binary64)))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.2%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated

Counts

14 → 3

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(.f64 x (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))))
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(neg.f64 (log.f64 (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))))
(log.f64 (+.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)))
(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))

Outputs

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

(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))

(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.2%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

13 → 3

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(.f64 x (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))))
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(neg.f64 (log.f64 (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))))
(log.f64 (+.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)))

Outputs

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

(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Memory

8.2MiB live, 8.2MiB allocated

Counts

11 → 3

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(.f64 x (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))))
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))

Outputs

(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))

(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

10 → 3

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(.f64 x (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))))
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))

Outputs

(log.f64 (/.f64 #s(literal -1/2 binary64) x))

(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.0%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Memory

-31.0MiB live, 7.6MiB allocated

Counts

9 → 3

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(.f64 x (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))))
(log1p.f64 x)
(log.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))

Outputs

(log.f64 (/.f64 #s(literal -1/2 binary64) x))

(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 3/40 binary64) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))

(log.f64 (+.f64 x x))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
98.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(.f64 x (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))))
(log1p.f64 x)
(log.f64 (+.f64 x x))

Outputs
x
(log.f64 (+.f64 x x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
74.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(.f64 x (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))))
(log1p.f64 x)

Outputs
x
(log1p.f64 x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
54.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Accuracy

Total -1.9b remaining (-5.7%)

Threshold costs -1.9b (-5.7%)

Counts

6 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64))))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(.f64 x (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))))

Outputs
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
47.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch28.0ms (0.2%)

Memory

-24.1MiB live, 57.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.7666456553381398	3.213786475083475
16.0ms	-111.25028108372037	-1.8552914055475208e-5

Samples

14.0ms

240×

valid

Compiler

Compiled 673 to 432 computations (35.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-hypot: 4.0ms (50% of total)

ival-log: 2.0ms (25% of total)

ival-add: 1.0ms (12.5% of total)

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.2%)

Memory

6.4MiB live, 45.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.7666456553381398	3.213786475083475
13.0ms	-111.25028108372037	-1.8552914055475208e-5

Samples

13.0ms

240×

valid

Compiler

Compiled 664 to 423 computations (36.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-hypot: 4.0ms (49.4% of total)

ival-log: 2.0ms (24.7% of total)

ival-add: 1.0ms (12.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.2%)

Memory

-3.5MiB live, 34.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.7666456553381398	3.213786475083475
12.0ms	-111.25028108372037	-1.8552914055475208e-5

Samples

14.0ms

240×

valid

Compiler

Compiled 583 to 387 computations (33.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-hypot: 5.0ms (54.7% of total)

ival-log: 2.0ms (21.9% of total)

ival-add: 1.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch24.0ms (0.2%)

Memory

0.9MiB live, 42.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.7666456553381398	3.213786475083475
12.0ms	-111.25028108372037	-1.8552914055475208e-5

Samples

14.0ms

240×

valid

Compiler

Compiled 571 to 381 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-hypot: 4.0ms (50.3% of total)

ival-log: 2.0ms (25.2% of total)

ival-add: 1.0ms (12.6% of total)

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

exact: 0.0ms (0% of total)

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

bsearch23.0ms (0.2%)

Memory

20.6MiB live, 20.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.7666456553381398	3.213786475083475
12.0ms	-111.25028108372037	-1.8552914055475208e-5

Samples

12.0ms

240×

valid

Compiler

Compiled 535 to 357 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-hypot: 4.0ms (50.9% of total)

ival-log: 2.0ms (25.4% of total)

ival-add: 1.0ms (12.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch26.0ms (0.2%)

Memory

-12.6MiB live, 25.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.7666456553381398	3.213786475083475
16.0ms	-111.25028108372037	-1.8552914055475208e-5

Samples

16.0ms

240×

valid

Compiler

Compiled 526 to 348 computations (33.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-hypot: 7.0ms (61.7% of total)

ival-log: 2.0ms (17.6% of total)

ival-add: 1.0ms (8.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch23.0ms (0.2%)

Memory

20.2MiB live, 20.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.7666456553381398	3.213786475083475
12.0ms	-111.25028108372037	-1.8552914055475208e-5

Samples

13.0ms

240×

valid

Compiler

Compiled 472 to 312 computations (33.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-hypot: 4.0ms (49.3% of total)

ival-log: 2.0ms (24.7% of total)

ival-add: 1.0ms (12.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch29.0ms (0.3%)

Memory

-14.3MiB live, 23.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.7666456553381398	3.213786475083475
19.0ms	-111.25028108372037	-1.8552914055475208e-5

Samples

12.0ms

240×

valid

Compiler

Compiled 448 to 288 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-hypot: 4.0ms (50.6% of total)

ival-log: 2.0ms (25.3% of total)

ival-add: 1.0ms (12.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch9.0ms (0.1%)

Memory

11.6MiB live, 11.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.7666456553381398	3.213786475083475

Samples

5.0ms

96×

valid

Compiler

Compiled 67 to 45 computations (32.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-hypot: 2.0ms (63.3% of total)

ival-log: 1.0ms (31.7% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch11.0ms (0.1%)

Memory

-22.6MiB live, 15.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.7666456553381398	3.213786475083475

Samples

7.0ms

96×

valid

Compiler

Compiled 55 to 39 computations (29.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-hypot: 2.0ms (62.5% of total)

ival-log: 1.0ms (31.2% of total)

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

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

exact: 0.0ms (0% of total)

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

simplify52.0ms (0.5%)

Memory

5.9MiB live, 59.4MiB allocated

Algorithm

1×	egg-herbie

Rules

376×	`distribute-lft-neg-in_binary64`
364×	`unsub-neg_binary64`
260×	`neg-mul-1_binary64`
216×	`neg-sub0_binary64`
174×	`cancel-sign-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	431
1	121	431
2	148	431
3	186	431
4	232	431
5	297	431
6	431	431
7	696	431
8	978	431
9	1219	431
10	1359	431
11	1413	431
12	1428	431

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -1 binary64)) (neg.f64 (log.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))))) (if (<=.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))) (log.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (*.f64 x #s(literal 2 binary64)))))))
(if (<=.f64 x #s(literal -2386907802506363/2251799813685248 binary64)) (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)) (if (<=.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))) (log.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 x #s(literal 2 binary64)))))))
(if (<=.f64 x #s(literal -2386907802506363/2251799813685248 binary64)) (neg.f64 (log.f64 (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))) (if (<=.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))) (log.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 x #s(literal 2 binary64)))))))
(if (<=.f64 x #s(literal -2386907802506363/2251799813685248 binary64)) (neg.f64 (log.f64 (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))) (if (<=.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))) (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))))
(if (<=.f64 x #s(literal -2386907802506363/2251799813685248 binary64)) (neg.f64 (log.f64 (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))) (if (<=.f64 x #s(literal 2386907802506363/2251799813685248 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))) (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -2476979795053773/2251799813685248 binary64)) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)) (if (<=.f64 x #s(literal 2386907802506363/2251799813685248 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 2386907802506363/2251799813685248 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))) (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 5/4 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal 5/4 binary64)) x (log.f64 (+.f64 x x)))
(if (<=.f64 x #s(literal 3602879701896397/2251799813685248 binary64)) x (log1p.f64 x))
x

Outputs
(if (<=.f64 x #s(literal -1 binary64)) (neg.f64 (log.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))))) (if (<=.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))) (log.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (*.f64 x #s(literal 2 binary64)))))))
(if (<=.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))))) (if (<=.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) #s(literal 1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x (*.f64 x x))))))))
(if (<=.f64 x #s(literal -2386907802506363/2251799813685248 binary64)) (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)) (if (<=.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))) (log.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 x #s(literal 2 binary64)))))))
(if (<=.f64 x #s(literal -2386907802506363/2251799813685248 binary64)) (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)) (if (<=.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) #s(literal 1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))))))
(if (<=.f64 x #s(literal -2386907802506363/2251799813685248 binary64)) (neg.f64 (log.f64 (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))) (if (<=.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))) (log.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) (.f64 x #s(literal 2 binary64)))))))
(if (<=.f64 x #s(literal -2386907802506363/2251799813685248 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))) (if (<=.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) #s(literal 1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))))))
(if (<=.f64 x #s(literal -2386907802506363/2251799813685248 binary64)) (neg.f64 (log.f64 (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))) (if (<=.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))) (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))))
(if (<=.f64 x #s(literal -2386907802506363/2251799813685248 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))) (if (<=.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) #s(literal 1 binary64))) (log.f64 (-.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)))))
(if (<=.f64 x #s(literal -2386907802506363/2251799813685248 binary64)) (neg.f64 (log.f64 (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))) (if (<=.f64 x #s(literal 2386907802506363/2251799813685248 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))) (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -2386907802506363/2251799813685248 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))) (if (<=.f64 x #s(literal 2386907802506363/2251799813685248 binary64)) (.f64 x (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) #s(literal 1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x #s(literal 2 binary64))))))
(if (<=.f64 x #s(literal -2476979795053773/2251799813685248 binary64)) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)) (if (<=.f64 x #s(literal 2386907802506363/2251799813685248 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -2476979795053773/2251799813685248 binary64)) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)) (if (<=.f64 x #s(literal 2386907802506363/2251799813685248 binary64)) (.f64 x (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) #s(literal 1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 2386907802506363/2251799813685248 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))) (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 2386907802506363/2251799813685248 binary64)) (.f64 x (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) #s(literal 1 binary64))) (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x #s(literal 2 binary64))))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 5/4 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 5/4 binary64)) (.f64 x (+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))) #s(literal 1 binary64))) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal 5/4 binary64)) x (log.f64 (+.f64 x x)))
(if (<=.f64 x #s(literal 3602879701896397/2251799813685248 binary64)) x (log1p.f64 x))
x

soundness1.2s (10.5%)

Memory

-9.1MiB live, 986.0MiB allocated

Rules

11 038×	`accelerator-lowering-fma.f32`
11 038×	`accelerator-lowering-fma.f64`
9 826×	`accelerator-lowering-fma.f32`
9 826×	`accelerator-lowering-fma.f64`
6 062×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	489
1	353	481
2	931	473
3	2911	443
4	7055	443
0	8123	412
0	37	232
1	240	226
2	2187	226
0	9184	201
0	7	28
1	39	28
2	292	28
3	3147	28
0	8731	24
0	46	306
1	332	275
2	3155	275
0	8523	239
0	319	3119
1	878	3069
2	2456	3024
3	7318	3023
0	8236	2909

Stop Event

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

Compiler

Compiled 796 to 324 computations (59.3% saved)

preprocess273.0ms (2.4%)

Memory: 14.6MiB live, 168.7MiB allocated
Compiler: Compiled 942 to 216 computations (77.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze86.0ms (0.8%)

sample2.0s (17.8%)

preprocess16.0ms (0.1%)

explain261.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize152.0ms (1.3%)

series4.0ms (0%)

rewrite974.0ms (8.5%)

simplify577.0ms (5.1%)

eval83.0ms (0.7%)

prune62.0ms (0.5%)

simplify10.0ms (0.1%)

localize91.0ms (0.8%)

series68.0ms (0.6%)

rewrite125.0ms (1.1%)

simplify494.0ms (4.3%)

eval48.0ms (0.4%)

prune52.0ms (0.5%)

simplify370.0ms (3.2%)

localize176.0ms (1.5%)

series64.0ms (0.6%)

rewrite506.0ms (4.4%)

simplify958.0ms (8.4%)

eval263.0ms (2.3%)

prune177.0ms (1.6%)

simplify411.0ms (3.6%)

localize305.0ms (2.7%)

series15.0ms (0.1%)

rewrite381.0ms (3.3%)

simplify517.0ms (4.5%)

eval165.0ms (1.4%)

prune142.0ms (1.2%)

regimes25.0ms (0.2%)

regimes7.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch28.0ms (0.2%)

bsearch24.0ms (0.2%)

bsearch24.0ms (0.2%)

bsearch24.0ms (0.2%)

bsearch23.0ms (0.2%)

bsearch26.0ms (0.2%)

bsearch23.0ms (0.2%)

bsearch29.0ms (0.3%)

bsearch9.0ms (0.1%)

bsearch11.0ms (0.1%)

simplify52.0ms (0.5%)

soundness1.2s (10.5%)

preprocess273.0ms (2.4%)

end0.0ms (0%)

Profiling