Metrics for Hyperbolic arc-(co)secant

analyze5.0ms (0.1%)

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
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 15 to 10 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (48% of total)

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

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

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

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

const: 0.0ms (0% of total)

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

backward-pass: 0.0ms (0% of total)

sample1.2s (17%)

Results

907.0ms	8256×	0	valid
2.0ms	27×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 522.0ms

ival-div: 151.0ms (28.9% of total)

ival-log: 98.0ms (18.8% of total)

ival-mult: 95.0ms (18.2% of total)

ival-sqrt: 72.0ms (13.8% of total)

ival-sub: 52.0ms (10% of total)

ival-add: 40.0ms (7.7% of total)

const: 11.0ms (2.1% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess44.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

856×	`sum3-define`
706×	`fnmadd-define`
530×	`fma-define`
384×	`sum5-define`
324×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	38
1	46	36
2	78	36
3	171	36
4	335	36
5	616	34
6	992	31
7	1976	31
8	2437	31
0	9	11
1	19	11
2	26	11
3	38	11
4	54	11
5	84	11
6	109	11
7	130	11
8	171	11
9	172	11
0	172	11

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain134.0ms (2%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`
-	-	`(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)`
-	-	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
-	-	`(*.f64 x x)`
-	-	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
-	-	`#s(literal 1 binary64)`
-	-	`(/.f64 #s(literal 1 binary64) x)`
-	-	`(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))`

Results

76.0ms

512×

valid

Compiler

Compiled 122 to 29 computations (76.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 9.0ms (29.1% of total)

ival-log: 6.0ms (19.4% of total)

ival-sqrt: 6.0ms (19.4% of total)

ival-mult: 4.0ms (12.9% of total)

ival-sub: 3.0ms (9.7% of total)

ival-add: 3.0ms (9.7% of total)

const: 1.0ms (3.2% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

72×	`sum3-define`
44×	`fma-define`
36×	`+-lowering-+.f64`
36×	`+-lowering-+.f32`
32×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
1	19	43
2	26	43
3	38	43
4	54	43
5	84	43
6	109	43
7	130	43
8	171	43
9	172	43
0	172	43

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize69.0ms (1%)

Localize:

Found 4 expressions of interest:

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

Results

55.0ms

256×

valid

Compiler

Compiled 54 to 10 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 22.0ms (63.6% of total)

ival-div: 4.0ms (11.6% of total)

ival-log: 3.0ms (8.7% of total)

ival-sqrt: 2.0ms (5.8% of total)

ival-sub: 1.0ms (2.9% of total)

ival-add: 1.0ms (2.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts

5 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite309.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1574×	`-lowering-.f32`
1574×	`-lowering-.f64`
1468×	`+-lowering-+.f64`
1468×	`+-lowering-+.f32`
1106×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	39	35
2	201	33
3	960	32
4	3899	32
0	8280	32

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 454

Calls

Call 1

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

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

simplify252.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

2872×	`-lowering-.f32`
2872×	`-lowering-.f64`
1800×	`+-lowering-+.f64`
1800×	`+-lowering-+.f32`
1496×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	155	730
1	446	630
2	1289	605
3	4070	593
0	8431	593

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval96.0ms (1.4%)

Compiler: Compiled 10235 to 1409 computations (86.2% saved)

prune61.0ms (0.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	508	6	514
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	509	6	515

Accuracy

100.0%

Counts

515 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(log.f64 (/.f64 (+.f64 #s(literal 2 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))
▶	99.6%	(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))) x))
▶	99.2%	(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) x))
▶	100.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
▶	98.8%	(log.f64 (/.f64 #s(literal 2 binary64) x))
	99.8%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.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)))

Compiler

Compiled 190 to 122 computations (35.8% saved)

simplify104.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

2076×	`sum4-define`
1960×	`fma-define`
1840×	`sum3-define`
1456×	`sum5-define`
944×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	247
1	80	221
2	228	221
3	511	221
4	801	221
5	1005	221
6	1058	221
7	1217	221
8	3315	221
9	3944	221
10	4003	221
11	4003	221
12	4731	221
0	4731	221

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize213.0ms (3.1%)

Localize:

Found 18 expressions of interest:

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

Results

162.0ms

256×

valid

Compiler

Compiled 290 to 33 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-add: 41.0ms (49% of total)

ival-mult: 14.0ms (16.7% of total)

ival-log: 13.0ms (15.5% of total)

ival-div: 11.0ms (13.2% of total)

ival-sub: 2.0ms (2.4% of total)

ival-sqrt: 2.0ms (2.4% of total)

const: 1.0ms (1.2% of total)

backward-pass: 0.0ms (0% of total)

series78.0ms (1.1%)

Counts

20 → 240

Calls

Call 1

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

Outputs
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))>
#<alt (log (sqrt -1))>
#<alt (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))>
#<alt (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))>
#<alt (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))>
#<alt (log (* -1 (sqrt -1)))>
#<alt (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))>
#<alt (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))>
#<alt (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (/ 1 x))>
#<alt (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))>
#<alt (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))>
#<alt (* -1 (sqrt -1))>
#<alt (+ (* -1 (sqrt -1)) (/ 1 x))>
#<alt (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))>
#<alt (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))>
#<alt 2>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))>
#<alt (* x (sqrt -1))>
#<alt (* x (+ (sqrt -1) (/ 1 x)))>
#<alt (* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))>
#<alt (* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* x (sqrt -1)))>
#<alt (* -1 (* x (- (sqrt -1) (/ 1 x))))>
#<alt (* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))>
#<alt (* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))>
#<alt (* x (sqrt -1))>
#<alt (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))>
#<alt (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))>
#<alt (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* x (sqrt -1)))>
#<alt (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))>
#<alt (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))>
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (log (/ 1 x)))>
#<alt (+ (log 2) (log (/ 1 x)))>
#<alt (+ (log 2) (log (/ 1 x)))>
#<alt (+ (log 2) (log (/ 1 x)))>
#<alt (+ (log -2) (log (/ -1 x)))>
#<alt (+ (log -2) (log (/ -1 x)))>
#<alt (+ (log -2) (log (/ -1 x)))>
#<alt (+ (log -2) (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 2) (* -1 (log x)))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/192 (pow x 2)) 1/32)) 1/4))))>
#<alt (+ (log -1/2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1/2) (* -1 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log 1/2) (* -1 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (* -1/2 x)>
#<alt (* x (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* x (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* x (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))>
#<alt 2>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/48 (pow x 2)) 3/32)) 1/4))))>
#<alt (+ (log -1/8) (* -3 (log (/ 1 x))))>
#<alt (+ (log -1/8) (+ (* -3 (log (/ 1 x))) (* 4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log -1/8) (+ (* -3 (log (/ 1 x))) (* 4 (/ 1 (pow x 2))))) (/ 24 (pow x 4)))>
#<alt (- (+ (log -1/8) (+ (* -3 (log (/ 1 x))) (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))))) (/ 24 (pow x 4)))>
#<alt (+ (log 1/8) (* -3 (log (/ -1 x))))>
#<alt (+ (log 1/8) (+ (* -3 (log (/ -1 x))) (* 4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 1/8) (+ (* -3 (log (/ -1 x))) (* 4 (/ 1 (pow x 2))))) (/ 24 (pow x 4)))>
#<alt (- (+ (log 1/8) (+ (* -3 (log (/ -1 x))) (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))))) (/ 24 (pow x 4)))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)>
#<alt (* -1/8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (/ 2 (pow x 4)))))>
#<alt (* -1 (* (pow x 3) (- (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (/ 2 (pow x 4)))))>
#<alt 2>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))>
#<alt (+ (log -1/16) (* -5 (log (/ 1 x))))>
#<alt (+ (log -1/16) (+ (* -5 (log (/ 1 x))) (* 2 (/ 1 (pow x 2)))))>
#<alt (+ (log -1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4)))))>
#<alt (- (+ (log -1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))) (* 136/3 (/ 1 (pow x 6))))>
#<alt (+ (log 1/16) (* -5 (log (/ -1 x))))>
#<alt (+ (log 1/16) (+ (* -5 (log (/ -1 x))) (* 2 (/ 1 (pow x 2)))))>
#<alt (+ (log 1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4)))))>
#<alt (- (+ (log 1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))) (* 136/3 (/ 1 (pow x 6))))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)>
#<alt (* -1/16 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 5) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt (* -1/16 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) (* 2 (/ 1 (pow x 6))))))>
#<alt 2>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1/8 (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 (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1/16 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>

Calls

60 calls:

Time	Variable		Point	Expression
31.0ms	x	@	0	(log (/ 2 x))
23.0ms	x	@	-inf	(log (/ 2 x))
8.0ms	x	@	inf	(log (/ 2 x))
3.0ms	x	@	inf	(log (/ (+ 2 (* (* x x) (+ -1/2 (* (* x x) -1/8)))) x))
1.0ms	x	@	inf	(log (/ (+ 2 (* (* x x) (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))) x))

rewrite321.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2294×	`-lowering-.f32`
2294×	`-lowering-.f64`
2146×	`fma-lowering-fma.f32`
2146×	`fma-lowering-fma.f64`
1650×	`fmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	190
1	121	167
2	445	167
3	1546	167
4	5915	167
0	8468	167

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 960

Calls

Call 1

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

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

simplify345.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

4430×	`+-lowering-+.f64`
4430×	`+-lowering-+.f32`
3386×	`-lowering-.f32`
3386×	`-lowering-.f64`
1690×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	325	2620
1	994	2258
2	3326	2176
0	8508	2176

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* x (sqrt -1))
(* x (+ (sqrt -1) (/ 1 x)))
(* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))
(* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (- (sqrt -1) (/ 1 x))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (log (/ 1 x)))
(+ (log 2) (log (/ 1 x)))
(+ (log 2) (log (/ 1 x)))
(+ (log 2) (log (/ 1 x)))
(+ (log -2) (log (/ -1 x)))
(+ (log -2) (log (/ -1 x)))
(+ (log -2) (log (/ -1 x)))
(+ (log -2) (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 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/192 (pow x 2)) 1/32)) 1/4))))
(+ (log -1/2) (* -1 (log (/ 1 x))))
(- (+ (log -1/2) (* -1 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(+ (log 1/2) (* -1 (log (/ -1 x))))
(- (+ (log 1/2) (* -1 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(* -1/2 x)
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 x)
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(* -1/2 (pow x 2))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/48 (pow x 2)) 3/32)) 1/4))))
(+ (log -1/8) (* -3 (log (/ 1 x))))
(+ (log -1/8) (+ (* -3 (log (/ 1 x))) (* 4 (/ 1 (pow x 2)))))
(- (+ (log -1/8) (+ (* -3 (log (/ 1 x))) (* 4 (/ 1 (pow x 2))))) (/ 24 (pow x 4)))
(- (+ (log -1/8) (+ (* -3 (log (/ 1 x))) (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))))) (/ 24 (pow x 4)))
(+ (log 1/8) (* -3 (log (/ -1 x))))
(+ (log 1/8) (+ (* -3 (log (/ -1 x))) (* 4 (/ 1 (pow x 2)))))
(- (+ (log 1/8) (+ (* -3 (log (/ -1 x))) (* 4 (/ 1 (pow x 2))))) (/ 24 (pow x 4)))
(- (+ (log 1/8) (+ (* -3 (log (/ -1 x))) (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))))) (/ 24 (pow x 4)))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(* -1/8 (pow x 3))
(* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/8 (pow x 3))
(* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (/ 2 (pow x 4)))))
(* -1 (* (pow x 3) (- (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (/ 2 (pow x 4)))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(+ (log -1/16) (* -5 (log (/ 1 x))))
(+ (log -1/16) (+ (* -5 (log (/ 1 x))) (* 2 (/ 1 (pow x 2)))))
(+ (log -1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4)))))
(- (+ (log -1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))) (* 136/3 (/ 1 (pow x 6))))
(+ (log 1/16) (* -5 (log (/ -1 x))))
(+ (log 1/16) (+ (* -5 (log (/ -1 x))) (* 2 (/ 1 (pow x 2)))))
(+ (log 1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4)))))
(- (+ (log 1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))) (* 136/3 (/ 1 (pow x 6))))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(* -1/16 (pow x 5))
(* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 5) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(* -1/16 (pow x 5))
(* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) (* 2 (/ 1 (pow x 6))))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/8 (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))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1/16 (pow x 4))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))

Outputs
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 x (.f64 x #s(literal -3/32 binary64))))) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -3/32 binary64) (.f64 (.f64 x x) #s(literal -5/96 binary64)))))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) x))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) x))
(log (* -1 (sqrt -1)))
(log.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) x))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.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)
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ 1 x))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x))))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (sqrt -1))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) x)) x) (sqrt.f64 #s(literal -1 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(+.f64 #s(literal 2 binary64) (.f64 x (.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 (sqrt -1))
(*.f64 x (sqrt.f64 #s(literal -1 binary64)))
(* x (+ (sqrt -1) (/ 1 x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(* x (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)))
(* x (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* x (sqrt -1)))
(*.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (- (sqrt -1) (/ 1 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (- 1 (* 1/2 (/ 1 (* x (sqrt -1))))) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (+ (sqrt -1) (* -1 (/ (+ 1 (* -1 (/ (- (* 1/2 (/ 1 (sqrt -1))) (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x))) x)))))
(.f64 x (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) x)) x) (sqrt.f64 #s(literal -1 binary64))))
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) (- (* -1/8 (pow x 2)) 1/2)))
(+.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) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(+.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 (.f64 x x) #s(literal -1/16 binary64))))))))
(* x (sqrt -1))
(*.f64 x (sqrt.f64 #s(literal -1 binary64)))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(+.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(+.f64 (+.f64 (.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x)) (.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* x (sqrt -1)))
(*.f64 x (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(+.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 x x)) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) x))
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log -2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (.f64 x (.f64 x #s(literal -1/4 binary64))) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/32 binary64)))) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/192 (pow x 2)) 1/32)) 1/4))))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/32 binary64) (.f64 x (.f64 x #s(literal -1/192 binary64)))))))))
(+ (log -1/2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal -1/2 binary64)))
(- (+ (log -1/2) (* -1 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 x x))))
(+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f64 (log.f64 x) (-.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) (.f64 x x))) (.f64 x x)) (log.f64 #s(literal -1/2 binary64))))
(- (+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 x) (+.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 64/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -4 binary64) (.f64 x x))))
(+ (log 1/2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log 1/2) (* -1 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(+.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -4 binary64) (*.f64 x x)))
(+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) (.f64 x x))) (.f64 x x)))
(- (+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(-.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 64/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (.f64 x x))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
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(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(+.f64 #s(literal 2 binary64) (.f64 x (.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)))
(* -1 (* (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 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 6) (- (* 2 (/ 1 (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 2 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal -1/16 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(* -1/16 (pow x 6))
(*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (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 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 6) (- (* 2 (/ 1 (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 2 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal -1/16 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(* -1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))
(* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(.f64 x (.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)))))))
(* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(.f64 x (.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)))
(* -1 (* (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 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (*.f64 x x))))
(* -1/16 (pow x 6))
(*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (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 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x 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)
(* -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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/16 binary64))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(* -1/16 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/16 binary64))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))

eval185.0ms (2.7%)

Compiler: Compiled 25803 to 3614 computations (86% saved)

prune183.0ms (2.7%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	1365	3	1368
Fresh	1	0	1
Picked	0	5	5
Done	0	0	0
Total	1366	8	1374

Accuracy

100.0%

Counts

1374 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))))
▶	99.2%	(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x x) #s(literal 2 binary64))))) x))
✓	99.8%	(log.f64 (/.f64 (+.f64 #s(literal 2 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))
✓	99.6%	(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))) x))
✓	99.2%	(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) x))
▶	99.8%	(log.f64 (/.f64 (+.f64 #s(literal 1 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 (.f64 x x) #s(literal -1/16 binary64))))))))) x))
✓	100.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
✓	98.8%	(log.f64 (/.f64 #s(literal 2 binary64) x))

Compiler

Compiled 126 to 85 computations (32.5% saved)

simplify263.0ms (3.9%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

2562×	`fma-lowering-fma.f32`
2562×	`fma-lowering-fma.f64`
2070×	`fmsub-define`
1866×	`sum4-define`
1602×	`fmm-def`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	32	265
1	85	235
2	251	232
3	567	226
4	1105	226
5	1874	226
6	3301	224
7	6299	220
0	8116	220

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(log (/ (+ 1 (+ 1 (* x (* x (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))))) x))
(log.f64 (+.f64 (.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)))))) (/.f64 #s(literal 2 binary64) x)))
(/ (+ 1 (+ 1 (* x (* x (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))))) x)
(+.f64 (.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)))))) (/.f64 #s(literal 2 binary64) x))
(+ 1 (+ 1 (* x (* x (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16))))))))
(+.f64 (.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)))))) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 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)))))))
(* 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 (+ -1/2 (* (* x x) (+ -1/8 (* (* x x) -1/16)))))
(.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))))))
(+ -1/2 (* (* 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))))
(* x x)
(*.f64 x x)
(+ -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))
-1/16
#s(literal -1/16 binary64)
(log (/ (/ 1 (/ -1 (+ -2 (/ (* x x) 2)))) x))
(log.f64 (+.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) x)))
(/ (/ 1 (/ -1 (+ -2 (/ (* x x) 2)))) x)
(+.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) x))
(/ 1 (/ -1 (+ -2 (/ (* x x) 2))))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(/ -1 (+ -2 (/ (* x x) 2)))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x x) #s(literal 2 binary64))))
-1
#s(literal -1 binary64)
(+ -2 (/ (* x x) 2))
(+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x x) #s(literal 2 binary64)))
-2
#s(literal -2 binary64)
(/ (* x x) 2)
(/.f64 (*.f64 x x) #s(literal 2 binary64))
(* x x)
(*.f64 x x)
x
2
#s(literal 2 binary64)
(neg (log (/ x (+ 2 (* (* x x) (+ -1/2 (* (* x x) -1/8)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))))))
(log (/ x (+ 2 (* (* x x) (+ -1/2 (* (* x x) -1/8))))))
(log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))))
(/ x (+ 2 (* (* x x) (+ -1/2 (* (* x x) -1/8)))))
(/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))))
x
(+ 2 (* (* x x) (+ -1/2 (* (* x x) -1/8))))
(+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))
2
#s(literal 2 binary64)
(* (* x x) (+ -1/2 (* (* x x) -1/8)))
(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))
(* x x)
(*.f64 x x)
(+ -1/2 (* (* x x) -1/8))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))
-1/2
#s(literal -1/2 binary64)
(* (* x x) -1/8)
(.f64 x (.f64 x #s(literal -1/8 binary64)))
-1/8
#s(literal -1/8 binary64)

localize195.0ms (2.9%)

Localize:

Found 12 expressions of interest:

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

Results

146.0ms

256×

valid

Compiler

Compiled 323 to 33 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-add: 13.0ms (26.6% of total)

ival-mult: 12.0ms (24.6% of total)

ival-div: 11.0ms (22.5% of total)

ival-log: 10.0ms (20.5% of total)

const: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

backward-pass: 0.0ms (0% of total)

series32.0ms (0.5%)

Counts

18 → 216

Calls

Call 1

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

Outputs
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)>
#<alt (* -1/16 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 5) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt (* -1/16 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 5) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) (* 2 (/ 1 (pow x 6))))))>
#<alt 2>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))>
#<alt (+ (log -1/16) (* -5 (log (/ 1 x))))>
#<alt (+ (log -1/16) (+ (* -5 (log (/ 1 x))) (* 2 (/ 1 (pow x 2)))))>
#<alt (+ (log -1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4)))))>
#<alt (- (+ (log -1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))) (* 136/3 (/ 1 (pow x 6))))>
#<alt (+ (log 1/16) (* -5 (log (/ -1 x))))>
#<alt (+ (log 1/16) (+ (* -5 (log (/ -1 x))) (* 2 (/ 1 (pow x 2)))))>
#<alt (+ (log 1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4)))))>
#<alt (- (+ (log 1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))) (* 136/3 (/ 1 (pow x 6))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt 2>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (* -1/2 x)>
#<alt (* x (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* x (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* x (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))>
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/192 (pow x 2)) 1/32)) 1/4))))>
#<alt (+ (log -1/2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1/2) (* -1 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log 1/2) (* -1 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/8 (pow x 2)))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/32 (pow x 2)))))>
#<alt (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/32 (* 1/128 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 8 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 8 (* 32 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 32 (* 128 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 8 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 8 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 8 (* 32 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 32 (* 128 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 8 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (+ (log 1/2) (log x))>
#<alt (+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))>
#<alt (+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))>
#<alt (+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 1/48 (pow x 2))))))))>
#<alt (+ (log -8) (* 3 (log (/ 1 x))))>
#<alt (- (+ (log -8) (* 3 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -8) (+ (* 3 (log (/ 1 x))) (/ 24 (pow x 4)))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -8) (+ (* 3 (log (/ 1 x))) (/ 24 (pow x 4)))) (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))))>
#<alt (+ (log 8) (* 3 (log (/ -1 x))))>
#<alt (- (+ (log 8) (* 3 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 8) (+ (* 3 (log (/ -1 x))) (/ 24 (pow x 4)))) (* 4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 8) (+ (* 3 (log (/ -1 x))) (/ 24 (pow x 4)))) (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/8 (pow x 2))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))>
#<alt (* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 3/128 (pow x 2))))))))>
#<alt (/ -8 (pow x 3))>
#<alt (/ (- (* 32 (/ 1 (pow x 2))) 8) (pow x 3))>
#<alt (/ (- (* 32 (/ 1 (pow x 2))) (+ 8 (/ 256 (pow x 4)))) (pow x 3))>
#<alt (/ (- (+ (* 32 (/ 1 (pow x 2))) (* 1536 (/ 1 (pow x 6)))) (+ 8 (/ 256 (pow x 4)))) (pow x 3))>
#<alt (/ -8 (pow x 3))>
#<alt (* -1 (/ (- 8 (* 32 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (- (+ 8 (/ 256 (pow x 4))) (* 32 (/ 1 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (- (+ 8 (/ 256 (pow x 4))) (+ (* 32 (/ 1 (pow x 2))) (* 1536 (/ 1 (pow x 6))))) (pow x 3)))>
#<alt 2>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* x (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))>
#<alt (* x (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))>
#<alt (* -1/16 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* -1/16 (pow x 5))>
#<alt (* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (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 (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1/16 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* -1/16 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<alt (* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))>
#<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 -2>
#<alt (- (* 1/2 (pow x 2)) 2)>
#<alt (- (* 1/2 (pow x 2)) 2)>
#<alt (- (* 1/2 (pow x 2)) 2)>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* -1 (+ (log 1/2) (log x)))>
#<alt (- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))>
#<alt (- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1/48 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))>
#<alt (* -1 (+ (log -8) (* 3 (log (/ 1 x)))))>
#<alt (- (* 4 (/ 1 (pow x 2))) (+ (log -8) (* 3 (log (/ 1 x)))))>
#<alt (- (* 4 (/ 1 (pow x 2))) (+ (log -8) (+ (* 3 (log (/ 1 x))) (/ 24 (pow x 4)))))>
#<alt (- (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))) (+ (log -8) (+ (* 3 (log (/ 1 x))) (/ 24 (pow x 4)))))>
#<alt (* -1 (+ (log 8) (* 3 (log (/ -1 x)))))>
#<alt (- (* 4 (/ 1 (pow x 2))) (+ (log 8) (* 3 (log (/ -1 x)))))>
#<alt (- (* 4 (/ 1 (pow x 2))) (+ (log 8) (+ (* 3 (log (/ -1 x))) (/ 24 (pow x 4)))))>
#<alt (- (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))) (+ (log 8) (+ (* 3 (log (/ -1 x))) (/ 24 (pow x 4)))))>

Calls

54 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(log (/ x (+ 2 (* (* x x) (+ -1/2 (* (* x x) -1/8))))))
0.0ms	x	@	-inf	(log (/ x (+ 2 (* (* x x) (+ -1/2 (* (* x x) -1/8))))))
0.0ms	x	@	0	(log (/ x (+ 2 (* (* x x) (+ -1/2 (* (* x x) -1/8))))))
0.0ms	x	@	inf	(/ (/ 1 (/ -1 (+ -2 (/ (* x x) 2)))) x)
0.0ms	x	@	0	(/ (/ 1 (/ -1 (+ -2 (/ (* x x) 2)))) x)

rewrite396.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2242×	`fma-lowering-fma.f32`
2242×	`fma-lowering-fma.f64`
2158×	`-lowering-.f32`
2158×	`-lowering-.f64`
1544×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	212
1	135	180
2	572	173
3	1936	173
4	6935	173
0	8472	173

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1007

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal -2 binary64) x))) x) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))) (.f64 x (.f64 x (*.f64 x x))))))
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal -2 binary64) x))) x) (.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 (.f64 x (.f64 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)))))))) #s(literal 2 binary64)) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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))))))))) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (.f64 x (.f64 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)))))))))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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))))))))) x) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 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))))))))) (/.f64 #s(literal -1 binary64) x)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 x (.f64 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)))))))) x))
(+.f64 (/.f64 #s(literal 2 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 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))))))) (/.f64 #s(literal -1 binary64) x))))
(+.f64 (/.f64 #s(literal 2 binary64) x) (.f64 (/.f64 (.f64 x (.f64 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)))))))) x) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) x) (.f64 (/.f64 (.f64 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))))))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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))))))))) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 (.f64 x (.f64 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)))))))) x) (/.f64 #s(literal 2 binary64) x))
(+.f64 (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) x) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))) (.f64 x (.f64 x (*.f64 x x)))))))
(+.f64 (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) x) (.f64 (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))) (.f64 x (.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))) (.f64 x (.f64 x (*.f64 x x))))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal -2 binary64) x))) x))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))) (.f64 x (.f64 x (*.f64 x x)))))) (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) x))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) (.f64 x (.f64 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)))))))))) (/.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 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))))))) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 2 binary64) x))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) (/.f64 (+.f64 (.f64 x (.f64 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)))))))) #s(literal 2 binary64)) x))
(+.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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))))))))) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 (/.f64 (.f64 x (.f64 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)))))))) x) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x))
(+.f64 (.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))) (.f64 x (.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal -2 binary64) x))) x))
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal -1/16 binary64))) (.f64 x (.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) x))
(+.f64 (.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 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))))))))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 (/.f64 (.f64 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))))))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 2 binary64) x))
(exp.f64 (log.f64 (/.f64 (+.f64 (.f64 x (.f64 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)))))))) #s(literal 2 binary64)) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (.f64 x (.f64 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))))))))) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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))))))))) (-.f64 #s(literal 0 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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)))))))))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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))))))))) (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (.f64 x (.f64 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)))))))) (-.f64 #s(literal 0 binary64) x)))
(-.f64 (/.f64 #s(literal 2 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x (.f64 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))))))))))
(-.f64 (/.f64 #s(literal 2 binary64) x) (.f64 (.f64 x (.f64 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)))))))) (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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))))))))) x) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (.f64 x (.f64 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)))))))) x) (/.f64 #s(literal -2 binary64) x))
(-.f64 (/.f64 (.f64 x (.f64 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)))))))) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 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)))))))) x) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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))))))))) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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))))))))) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x) (neg.f64 (/.f64 (.f64 x (.f64 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)))))))) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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))))))))) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 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)))))))) x) (/.f64 #s(literal 2 binary64) x))
(fma.f64 x (.f64 (.f64 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))))))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) x))
(fma.f64 (.f64 x x) (.f64 (+.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)))))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) x))
(fma.f64 (+.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)))))) (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) x))
(fma.f64 (.f64 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))))))) (.f64 x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) x))
(fma.f64 (.f64 x (.f64 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)))))))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) x))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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))))))))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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))))))))) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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))))))))) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x) (neg.f64 (/.f64 (.f64 x (.f64 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)))))))) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (neg.f64 (/.f64 (.f64 x (.f64 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)))))))) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (neg.f64 (/.f64 (.f64 x (.f64 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)))))))) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x (.f64 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))))))))) (/.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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)))))))))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (.f64 x (.f64 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)))))))) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x (.f64 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)))))))) x))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (.f64 x (.f64 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)))))))) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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))))))))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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))))))))) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 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)))))))) (/.f64 #s(literal 2 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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))))))))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (/.f64 (.f64 x (.f64 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)))))))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (neg.f64 (/.f64 (.f64 x (.f64 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)))))))) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 x (.f64 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)))))))) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 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))))))))) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64) (neg.f64 (/.f64 (.f64 x (.f64 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)))))))) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (.f64 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)))))))) (-.f64 #s(literal 0 binary64) x))))
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(+.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 0 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))))
(+.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))))
(-.f64 (log.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))) (log.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x (-.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 (/.f64 x (-.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))))) #s(literal 0 binary64)))
(-.f64 (log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))) x)) #s(literal 0 binary64))
(-.f64 (log.f64 (-.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))))))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))))) #s(literal 0 binary64)))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))))))
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))) x)) (log.f64 #s(literal -1 binary64)))
(-.f64 (+.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))))) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 0 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))))))
(fma.f64 #s(literal 1 binary64) (log.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(fma.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))) x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (neg.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))))) #s(literal 0 binary64))))
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))))))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))))) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(fma.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (neg.f64 (-.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))))) #s(literal 0 binary64))))
(fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))) x)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))))) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))))))))
(.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal -1/8 binary64)))))) x)))
(.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal -1/8 binary64)))))))))
(.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal -1/8 binary64)))))))) #s(literal -1 binary64))
(.f64 (log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (*.f64 x #s(literal -1/8 binary64)))))) x)) #s(literal 1 binary64))

simplify439.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

4472×	`+-lowering-+.f64`
4472×	`+-lowering-+.f32`
2846×	`-lowering-.f32`
2846×	`-lowering-.f64`
2116×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	2532
1	963	2180
2	3270	2104
0	8278	2104

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(* -1/16 (pow x 5))
(* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 5) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(* -1/16 (pow x 5))
(* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) (* 2 (/ 1 (pow x 6))))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(+ (log -1/16) (* -5 (log (/ 1 x))))
(+ (log -1/16) (+ (* -5 (log (/ 1 x))) (* 2 (/ 1 (pow x 2)))))
(+ (log -1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4)))))
(- (+ (log -1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))) (* 136/3 (/ 1 (pow x 6))))
(+ (log 1/16) (* -5 (log (/ -1 x))))
(+ (log 1/16) (+ (* -5 (log (/ -1 x))) (* 2 (/ 1 (pow x 2)))))
(+ (log 1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4)))))
(- (+ (log 1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))) (* 136/3 (/ 1 (pow x 6))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(* -1/2 x)
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 x)
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/192 (pow x 2)) 1/32)) 1/4))))
(+ (log -1/2) (* -1 (log (/ 1 x))))
(- (+ (log -1/2) (* -1 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(+ (log 1/2) (* -1 (log (/ -1 x))))
(- (+ (log 1/2) (* -1 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
1/2
(+ 1/2 (* 1/8 (pow x 2)))
(+ 1/2 (* (pow x 2) (+ 1/8 (* 1/32 (pow x 2)))))
(+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/32 (* 1/128 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 8 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 8 (* 32 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 32 (* 128 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 8 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 8 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 8 (* 32 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 32 (* 128 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 8 (/ 1 (pow x 2))))) (pow x 2))
(+ (log 1/2) (log x))
(+ (log 1/2) (+ (log x) (* 1/4 (pow x 2))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* 3/32 (pow x 2))))))
(+ (log 1/2) (+ (log x) (* (pow x 2) (+ 1/4 (* (pow x 2) (+ 3/32 (* 1/48 (pow x 2))))))))
(+ (log -8) (* 3 (log (/ 1 x))))
(- (+ (log -8) (* 3 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(- (+ (log -8) (+ (* 3 (log (/ 1 x))) (/ 24 (pow x 4)))) (* 4 (/ 1 (pow x 2))))
(- (+ (log -8) (+ (* 3 (log (/ 1 x))) (/ 24 (pow x 4)))) (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))))
(+ (log 8) (* 3 (log (/ -1 x))))
(- (+ (log 8) (* 3 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(- (+ (log 8) (+ (* 3 (log (/ -1 x))) (/ 24 (pow x 4)))) (* 4 (/ 1 (pow x 2))))
(- (+ (log 8) (+ (* 3 (log (/ -1 x))) (/ 24 (pow x 4)))) (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))))
(* 1/2 x)
(* x (+ 1/2 (* 1/8 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* 1/16 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/16 (* 3/128 (pow x 2))))))))
(/ -8 (pow x 3))
(/ (- (* 32 (/ 1 (pow x 2))) 8) (pow x 3))
(/ (- (* 32 (/ 1 (pow x 2))) (+ 8 (/ 256 (pow x 4)))) (pow x 3))
(/ (- (+ (* 32 (/ 1 (pow x 2))) (* 1536 (/ 1 (pow x 6)))) (+ 8 (/ 256 (pow x 4)))) (pow x 3))
(/ -8 (pow x 3))
(* -1 (/ (- 8 (* 32 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (- (+ 8 (/ 256 (pow x 4))) (* 32 (/ 1 (pow x 2)))) (pow x 3)))
(* -1 (/ (- (+ 8 (/ 256 (pow x 4))) (+ (* 32 (/ 1 (pow x 2))) (* 1536 (/ 1 (pow x 6))))) (pow x 3)))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/8 (pow x 4))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(* -1/2 x)
(* x (- (* -1/8 (pow x 2)) 1/2))
(* x (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(* x (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(* -1/16 (pow x 5))
(* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 5) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* -1/16 (pow x 5))
(* -1 (* (pow x 5) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (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))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1/16 (pow x 4))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 4) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* -1/16 (pow x 6))
(* -1 (* (pow x 6) (+ 1/16 (* 1/8 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(* (pow x 6) (- (* -1 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(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)
-2
(- (* 1/2 (pow x 2)) 2)
(- (* 1/2 (pow x 2)) 2)
(- (* 1/2 (pow x 2)) 2)
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2 (* 2 (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/2 (* 2 (/ 1 (pow x 2)))))
(* -1 (+ (log 1/2) (log x)))
(- (* -1/4 (pow x 2)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/48 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))
(* -1 (+ (log -8) (* 3 (log (/ 1 x)))))
(- (* 4 (/ 1 (pow x 2))) (+ (log -8) (* 3 (log (/ 1 x)))))
(- (* 4 (/ 1 (pow x 2))) (+ (log -8) (+ (* 3 (log (/ 1 x))) (/ 24 (pow x 4)))))
(- (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))) (+ (log -8) (+ (* 3 (log (/ 1 x))) (/ 24 (pow x 4)))))
(* -1 (+ (log 8) (* 3 (log (/ -1 x)))))
(- (* 4 (/ 1 (pow x 2))) (+ (log 8) (* 3 (log (/ -1 x)))))
(- (* 4 (/ 1 (pow x 2))) (+ (log 8) (+ (* 3 (log (/ -1 x))) (/ 24 (pow x 4)))))
(- (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))) (+ (log 8) (+ (* 3 (log (/ -1 x))) (/ 24 (pow x 4)))))

Outputs
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (+.f64 #s(literal 2 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)
(* -1/16 (pow x 5))
(*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (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 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (*.f64 x x))))
(* (pow x 5) (- (* 2 (/ 1 (pow x 6))) (+ 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 2 binary64) (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) (pow.f64 x #s(literal 4 binary64))))))
(* -1/16 (pow x 5))
(*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (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))))
(* -1 (* (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) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* (pow x 5) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2))))) (* 2 (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (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) (pow.f64 x #s(literal 4 binary64))))))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(+.f64 #s(literal 2 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)))))))
(* -1/16 (pow x 6))
(*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (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 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(+.f64 #s(literal 2 binary64) (.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) (pow.f64 x #s(literal 4 binary64))))))
(* -1/16 (pow x 6))
(*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (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 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 2 (/ 1 (pow x 6))) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(+.f64 #s(literal 2 binary64) (.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) (pow.f64 x #s(literal 4 binary64))))))
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -3/32 binary64)))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -3/32 binary64) (.f64 (.f64 x x) #s(literal -5/96 binary64))))))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log -1/16) (* -5 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (*.f64 #s(literal 5 binary64) (log.f64 x)))
(+ (log -1/16) (+ (* -5 (log (/ 1 x))) (* 2 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (+.f64 (.f64 #s(literal 5 binary64) (log.f64 x)) (/.f64 #s(literal 2 binary64) (.f64 x x))))
(+ (log -1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4)))))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (+.f64 (.f64 #s(literal 5 binary64) (log.f64 x)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(- (+ (log -1/16) (+ (* -5 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))) (* 136/3 (/ 1 (pow x 6))))
(+.f64 (.f64 #s(literal 5 binary64) (log.f64 x)) (-.f64 (+.f64 (log.f64 #s(literal -1/16 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 136/3 binary64) (pow.f64 x #s(literal 6 binary64)))))
(+ (log 1/16) (* -5 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal 1/16 binary64)) (*.f64 #s(literal -5 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log 1/16) (+ (* -5 (log (/ -1 x))) (* 2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal -5 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) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4)))))
(+.f64 (.f64 #s(literal -5 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 1/16 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(- (+ (log 1/16) (+ (* -5 (log (/ -1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 6 (pow x 4))))) (* 136/3 (/ 1 (pow x 6))))
(+.f64 (.f64 #s(literal -5 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 1/16 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 136/3 binary64) (pow.f64 x #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(+.f64 (.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)))))) #s(literal 1 binary64))
(* -1/16 (pow x 6))
(*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (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 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.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) (pow.f64 x #s(literal 4 binary64))))))
(* -1/16 (pow x 6))
(*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(* -1 (* (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 (/ (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (pow x 2))) 1/16))
(.f64 (+.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 1/16 (+ (/ 1/2 (pow x 4)) (* 1/8 (/ 1 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.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) (pow.f64 x #s(literal 4 binary64))))))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+ 2 (* -1/2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(+ 2 (* -1/2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(* -1/2 (pow x 2))
(.f64 #s(literal -1/2 binary64) (.f64 x x))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) (.f64 x x))) x)
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))))
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4))))
(+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -1/32 binary64))))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/192 (pow x 2)) 1/32)) 1/4))))
(+.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/32 binary64) (.f64 (.f64 x x) #s(literal -1/192 binary64))))))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log -1/2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal -1/2 binary64)))
(- (+ (log -1/2) (* -1 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(+.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1/2 binary64))) (/.f64 #s(literal -4 binary64) (*.f64 x x)))
(+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 x) (-.f64 (log.f64 #s(literal -1/2 binary64)) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) (.f64 x x))) (.f64 x x))))
(- (+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(+.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 64/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (log.f64 #s(literal -1/2 binary64)) (/.f64 #s(literal -4 binary64) (.f64 x x))))
(+ (log 1/2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log 1/2) (* -1 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(+.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -4 binary64) (*.f64 x x)))
(+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 x x)) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(-.f64 (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 64/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (.f64 x x))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/8 (pow x 2)))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 1/8 binary64))))
(+ 1/2 (* (pow x 2) (+ 1/8 (* 1/32 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal 1/32 binary64))))))
(+ 1/2 (* (pow x 2) (+ 1/8 (* (pow x 2) (+ 1/32 (* 1/128 (pow x 2)))))))
(+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/32 binary64) (.f64 (.f64 x x) #s(literal 1/128 binary64))))))))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 8 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 8 (* 32 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -32 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 32 (* 128 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 8 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -8 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 32 binary64) (/.f64 #s(literal 128 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 8 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -8 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 8 (* 32 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
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(-.f64 (.f64 (.f64 x x) #s(literal -1/4 binary64)) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(- (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4)) (+ (log 1/2) (log x)))
(-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) #s(literal -3/32 binary64)))) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/48 (pow x 2)) 3/32)) 1/4)) (+ (log 1/2) (log x)))
(-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -3/32 binary64) (.f64 (.f64 x x) #s(literal -1/48 binary64)))))) (+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(* -1 (+ (log -8) (* 3 (log (/ 1 x)))))
(-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 #s(literal -8 binary64)))
(- (* 4 (/ 1 (pow x 2))) (+ (log -8) (* 3 (log (/ 1 x)))))
(+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (-.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 #s(literal -8 binary64))))
(- (* 4 (/ 1 (pow x 2))) (+ (log -8) (+ (* 3 (log (/ 1 x))) (/ 24 (pow x 4)))))
(+.f64 (-.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 #s(literal -8 binary64))) (+.f64 (/.f64 #s(literal -24 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 4 binary64) (.f64 x x))))
(- (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))) (+ (log -8) (+ (* 3 (log (/ 1 x))) (/ 24 (pow x 4)))))
(+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 (-.f64 (/.f64 #s(literal 256/3 binary64) (pow.f64 x #s(literal 6 binary64))) (log.f64 #s(literal -8 binary64))) (+.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal -24 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -1 (+ (log 8) (* 3 (log (/ -1 x)))))
(-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)) (log.f64 #s(literal 8 binary64)))
(- (* 4 (/ 1 (pow x 2))) (+ (log 8) (* 3 (log (/ -1 x)))))
(+.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (log.f64 #s(literal 8 binary64))) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)))
(- (* 4 (/ 1 (pow x 2))) (+ (log 8) (+ (* 3 (log (/ -1 x))) (/ 24 (pow x 4)))))
(+.f64 (+.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (log.f64 #s(literal 8 binary64))) (/.f64 #s(literal -24 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)))
(- (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))) (+ (log 8) (+ (* 3 (log (/ -1 x))) (/ 24 (pow x 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 256/3 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (log.f64 #s(literal 8 binary64)))) (/.f64 #s(literal -24 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)))

eval373.0ms (5.5%)

Compiler: Compiled 29345 to 5024 computations (82.9% saved)

prune142.0ms (2.1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	1371	0	1371
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	1371	8	1379

Accuracy

100.0%

Counts

1379 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))))))
✓	99.2%	(log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x x) #s(literal 2 binary64))))) x))
✓	99.8%	(log.f64 (/.f64 (+.f64 #s(literal 2 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))
✓	99.6%	(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))) x))
✓	99.2%	(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) x))
✓	99.8%	(log.f64 (/.f64 (+.f64 #s(literal 1 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 (.f64 x x) #s(literal -1/16 binary64))))))))) x))
✓	100.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
✓	98.8%	(log.f64 (/.f64 #s(literal 2 binary64) x))

Compiler

Compiled 284 to 142 computations (50% saved)

regimes38.0ms (0.6%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms

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

3.0ms

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

3.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
100.0%	1	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`

Compiler

Compiled 29 to 18 computations (37.9% saved)

regimes3.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

Outputs

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 1

Calls

Call 1

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

Outputs

(log.f64 (/.f64 (+.f64 #s(literal 2 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))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative_binary64`
22×	`*-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	104
1	69	104
2	77	104
3	82	104
4	84	104

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.3s (18.6%)

Rules

4430×	`+-lowering-+.f64`
4430×	`+-lowering-+.f32`
3386×	`-lowering-.f32`
3386×	`-lowering-.f64`
2872×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	155	730
1	446	630
2	1289	605
3	4070	593
0	8431	593
0	32	190
1	121	167
2	445	167
3	1546	167
4	5915	167
0	8468	167
0	325	2620
1	994	2258
2	3326	2176
0	8508	2176
0	9	35
1	39	35
2	201	33
3	960	32
4	3899	32
0	8280	32

Stop Event

1×	done
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 224 to 121 computations (46% saved)

preprocess50.0ms (0.7%)

Compiler: Compiled 240 to 102 computations (57.5% saved)

Hyperbolic arc-(co)secant

analyze5.0ms (0.1%)

sample1.2s (17%)

preprocess44.0ms (0.6%)

explain134.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.2%)

localize69.0ms (1%)

series6.0ms (0.1%)

rewrite309.0ms (4.6%)

simplify252.0ms (3.7%)

eval96.0ms (1.4%)

prune61.0ms (0.9%)

simplify104.0ms (1.5%)

localize213.0ms (3.1%)

series78.0ms (1.1%)

rewrite321.0ms (4.7%)

simplify345.0ms (5.1%)

eval185.0ms (2.7%)

prune183.0ms (2.7%)

simplify263.0ms (3.9%)

localize195.0ms (2.9%)

series32.0ms (0.5%)

rewrite396.0ms (5.8%)

simplify439.0ms (6.5%)

eval373.0ms (5.5%)

prune142.0ms (2.1%)

regimes38.0ms (0.6%)

regimes3.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify12.0ms (0.2%)

soundness1.3s (18.6%)

preprocess50.0ms (0.7%)

end0.0ms (0%)

Profiling