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 (42.6% 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)

sample1.0s (21.7%)

Results

781.0ms	8256×	0	valid
1.0ms	18×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 517.0ms

ival-div: 154.0ms (29.8% of total)

ival-log: 98.0ms (18.9% of total)

ival-mult: 90.0ms (17.4% of total)

ival-sqrt: 70.0ms (13.5% of total)

ival-sub: 48.0ms (9.3% of total)

ival-add: 43.0ms (8.3% of total)

const: 11.0ms (2.1% of total)

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

Bogosity

preprocess208.0ms (4.5%)

Algorithm

2×	egg-herbie

Rules

3014×	`sum3-define`
2330×	`fnmadd-define`
2034×	`+-lowering-+.f64`
2034×	`+-lowering-+.f32`
1796×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	38
1	46	36
2	80	36
3	172	36
4	347	36
5	697	34
6	1229	31
7	2625	31
8	4715	31
9	6897	31
0	9	11
1	19	11
2	26	11
3	38	11
4	57	11
5	95	11
6	154	11
7	383	11
8	1744	11
9	3841	11
10	6873	11
0	8266	11

Stop Event

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

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)))

explain117.0ms (2.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
0	-	-	`x`
0	-	-	`(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))`
0	-	-	`(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)`
0	-	-	`(*.f64 x x)`
0	-	-	`(-.f64 #s(literal 1 binary64) (*.f64 x x))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(/.f64 #s(literal 1 binary64) x)`
0	-	-	`(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: 34.0ms

ival-div: 14.0ms (41.7% of total)

ival-log: 6.0ms (17.9% of total)

ival-mult: 4.0ms (11.9% of total)

ival-sqrt: 4.0ms (11.9% of total)

ival-sub: 3.0ms (8.9% of total)

ival-add: 2.0ms (6% of total)

const: 1.0ms (3% 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
▶	99.6%	(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)

simplify154.0ms (3.3%)

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

2034×	`+-lowering-+.f64`
2034×	`+-lowering-+.f32`
1796×	`sum3-define`
1374×	`sum4-define`
1248×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	43
1	19	43
2	26	43
3	38	43
4	57	43
5	95	43
6	154	43
7	383	43
8	1744	43
9	3841	43
10	6873	43
0	8266	43

Stop Event

1×	iter limit
1×	node limit

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)

localize48.0ms (1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	accuracy	99.6%	(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))

Results

34.0ms

256×

valid

Compiler

Compiled 54 to 10 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 6.0ms (35.4% of total)

ival-log: 3.0ms (17.7% of total)

ival-mult: 3.0ms (17.7% of total)

ival-sqrt: 2.0ms (11.8% of total)

ival-sub: 1.0ms (5.9% of total)

ival-add: 1.0ms (5.9% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

6 → 72

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)))>
#<alt (* 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)))))))>
#<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)>

Calls

18 calls:

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

rewrite231.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

3126×	`-lowering-.f32`
3126×	`-lowering-.f64`
2984×	`/-lowering-/.f32`
2984×	`/-lowering-/.f64`
1192×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	64	37
2	651	35
0	8403	35

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 263

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)))
(* x x)

Outputs
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) 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 #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))))) (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(+.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.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 x x))))))
(+.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))) (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.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 x x))))))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) (log.f64 (/.f64 x (-.f64 #s(literal 1 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) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) (neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) 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))))) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(-.f64 (log.f64 (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.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 x x)))))
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x))) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x)))
(-.f64 (log.f64 (+.f64 x (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64))))) (log.f64 (/.f64 (.f64 x x) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(-.f64 (log.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64))))) (log.f64 (/.f64 (-.f64 #s(literal 0 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 #s(literal 0 binary64) (*.f64 x x))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)) #s(literal 1 binary64))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.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 x x))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x)))) (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x)))
(-.f64 (log.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 x x))) (log.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
(-.f64 (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)))) x)) (log.f64 x))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) x))))
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(.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x))
(.f64 (pow.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64))) (.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))))
(.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(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) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))) (hypot.f64 #s(literal 1 binary64) x))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x x))))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (neg.f64 (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))) (hypot.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (hypot.f64 #s(literal 1 binary64) x))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))
(.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/2 binary64))))
(.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))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))

simplify206.0ms (4.5%)

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	766
1	446	654
2	1289	629
3	4070	617
0	8444	617

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

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)))))))
(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)

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 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (.f64 (.f64 x x) (.f64 x x)))) x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 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))) (.f64 (.f64 x x) (.f64 x x))))))
(* -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 x (.f64 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 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) x) x)) (/.f64 (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 x x) (*.f64 x 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 #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))) (.f64 (.f64 x x) (*.f64 x x))))))
(* -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 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 x x) (*.f64 x x))) (-.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 (/ 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 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 x x) (.f64 x x))) (-.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 x (.f64 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))) (.f64 (.f64 x x) (.f64 x x))))))
(* 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))) (.f64 (.f64 x x) (.f64 x x)))))))
(* -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))) (.f64 (.f64 x x) (.f64 x x))))))
(* -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 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 x x) (.f64 x x))) (-.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))))))
(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)

eval53.0ms (1.2%)

Compiler: Compiled 8766 to 1194 computations (86.4% saved)

prune37.0ms (0.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	331	4	335
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	332	4	336

Accuracy

100.0%

Counts

336 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 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))
▶	99.6%	(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) x))
▶	99.2%	(log.f64 (/.f64 #s(literal 2 binary64) x))

Compiler

Compiled 39 to 28 computations (28.2% saved)

simplify24.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

190×	`fma-define`
184×	`fma-lowering-fma.f32`
184×	`fma-lowering-fma.f64`
136×	`sum3-define`
124×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	116
1	42	105
2	94	105
3	163	105
4	191	105
5	227	105
6	286	105
7	374	105
8	459	105
9	565	105
10	643	105
11	649	105
0	649	105

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(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 -1/2)
-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) (log x))
(log 2)
2
(log x)
x

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

localize121.0ms (2.6%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 x)
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	99.7%	(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
✓	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%	(.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64))))
✓	accuracy	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))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal -1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/2 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) x)
✓	accuracy	99.6%	(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) x))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) x)
✓	accuracy	99.6%	(log.f64 (/.f64 #s(literal 2 binary64) x))

Results

91.0ms

256×

valid

Compiler

Compiled 133 to 22 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-log: 25.0ms (54.6% of total)

ival-mult: 8.0ms (17.5% of total)

ival-div: 6.0ms (13.1% of total)

ival-add: 4.0ms (8.7% of total)

ival-sub: 1.0ms (2.2% of total)

const: 1.0ms (2.2% of total)

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

series133.0ms (2.9%)

Counts

15 → 168

Calls

Call 1

Inputs
#<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) (log x))>
#<alt (log 2)>
#<alt (log x)>
#<alt (* x -1/2)>
#<alt (* x x)>

Outputs
#<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) (log x))>
#<alt (- (log 2) (log x))>
#<alt (- (log 2) (log x))>
#<alt (- (log 2) (log x))>
#<alt (- (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (log x)>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (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)>

Calls

42 calls:

Time	Variable		Point	Expression
31.0ms	x	@	0	(- (log 2) (log x))
30.0ms	x	@	-inf	(- (log 2) (log x))
30.0ms	x	@	0	(log (/ 2 x))
21.0ms	x	@	-inf	(log (/ 2 x))
6.0ms	x	@	inf	(log (/ 2 x))

rewrite354.0ms (7.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3978×	`-lowering-.f32`
3978×	`-lowering-.f64`
3118×	`/-lowering-/.f32`
3118×	`/-lowering-/.f64`
2312×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	94
1	116	84
2	955	84
0	8277	84

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 545

Calls

Call 1

Inputs
(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) (log x))
(log 2)
(log x)
(* x -1/2)
(* x x)

Outputs
(log.f64 (/.f64 #s(literal 2 binary64) x))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(+.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 #s(literal -2 binary64)) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x)))))))
(+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x #s(literal 2 binary64))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x #s(literal -2 binary64))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)) (log.f64 x))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))
(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x)))))))
(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (log.f64 (.f64 #s(literal 2 binary64) x))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))))
(neg.f64 (/.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 x #s(literal 2 binary64)))) (log.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal 2 binary64))))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (log.f64 (.f64 #s(literal 2 binary64) x))) (log.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 x #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x)))) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (log.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 2 binary64))) (log.f64 (.f64 #s(literal 2 binary64) x))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (log.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 0 binary64) (log.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 #s(literal -2 binary64)) (log.f64 #s(literal -2 binary64))) (+.f64 (.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x)))))) (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x)))))) (.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) x)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal 2 binary64))))
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(neg.f64 (/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x)))))))
(neg.f64 (/.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (log.f64 (.f64 #s(literal 2 binary64) x))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))))
(neg.f64 (/.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 x #s(literal 2 binary64)))) (log.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal 2 binary64))))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (log.f64 (.f64 #s(literal 2 binary64) x))) (log.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal 2 binary64)))))))
(/.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 x #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x)))) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (-.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x))) (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (log.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) #s(literal 2 binary64))) (log.f64 (.f64 #s(literal 2 binary64) x))))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 #s(literal 2 binary64) x))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (log.f64 (/.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 0 binary64) (log.f64 (/.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 #s(literal -2 binary64)) (log.f64 #s(literal -2 binary64))) (+.f64 (.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x)))))) (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x)))))) (.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) x)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x)))) (+.f64 (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (log.f64 (/.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 0 binary64) (log.f64 (/.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (log.f64 #s(literal -2 binary64)) (log.f64 #s(literal -2 binary64))) (.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 (-.f64 #s(literal 0 binary64) x)))) (+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x)))))) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))))) (+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (.f64 #s(literal 2 binary64) x)))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x)))) (.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x))))) (+.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 #s(literal 2 binary64) x)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64))
(.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) x))))))
(.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal 2 binary64)))))))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(.f64 (.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) (log.f64 (.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (log.f64 (.f64 #s(literal 2 binary64) x))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x #s(literal 2 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) x)))))))
(.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x)))))
(log.f64 #s(literal 2 binary64))
(log.f64 x)
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64)))
(neg.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify217.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

2186×	`+-lowering-+.f64`
2186×	`+-lowering-+.f32`
1916×	`-lowering-.f32`
1916×	`-lowering-.f64`
1796×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	154	1328
1	417	1167
2	1367	1138
3	4725	1135
0	8043	1135

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(+ (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) (log x))
(- (log 2) (log x))
(- (log 2) (log x))
(- (log 2) (log x))
(- (log 2) (* -1 (log (/ 1 x))))
(- (log 2) (* -1 (log (/ 1 x))))
(- (log 2) (* -1 (log (/ 1 x))))
(- (log 2) (* -1 (log (/ 1 x))))
(- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))
(- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))
(- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))
(- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))
(log x)
(log x)
(log x)
(log x)
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(* -1 (log (/ 1 x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (* -1 (log (/ -1 x))))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(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)

Outputs
(+ (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 (.f64 (.f64 x 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 (log.f64 #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x 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)))))) (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 (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 #s(literal -1/2 binary64)) (+.f64 (log.f64 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 (log.f64 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 (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 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -64/3 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.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))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) 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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (.f64 x x))) (-.f64 #s(literal 0 binary64) x))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+ 2 (* -1/2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+ 2 (* -1/2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* (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 x (.f64 x #s(literal -1/2 binary64)))
(* (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 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 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 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 (.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) (- (* -1/48 (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 -1/48 binary64))))))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)))
(+ (log -1/8) (* -3 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+ (log -1/8) (+ (* -3 (log (/ 1 x))) (* 4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 (log.f64 x) #s(literal 3 binary64))))
(- (+ (log -1/8) (+ (* -3 (log (/ 1 x))) (* 4 (/ 1 (pow x 2))))) (/ 24 (pow x 4)))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal -24 binary64) (pow.f64 x #s(literal 4 binary64))))))
(- (+ (log -1/8) (+ (* -3 (log (/ 1 x))) (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))))) (/ 24 (pow x 4)))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (+.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (/.f64 #s(literal 256/3 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 24 binary64) (pow.f64 x #s(literal 4 binary64))))))
(+ (log 1/8) (* -3 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal 1/8 binary64)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)))
(+ (log 1/8) (+ (* -3 (log (/ -1 x))) (* 4 (/ 1 (pow x 2)))))
(+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (log.f64 #s(literal 1/8 binary64))))
(- (+ (log 1/8) (+ (* -3 (log (/ -1 x))) (* 4 (/ 1 (pow x 2))))) (/ 24 (pow x 4)))
(+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (+.f64 (+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)) (/.f64 #s(literal -24 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/8 binary64))))
(- (+ (log 1/8) (+ (* -3 (log (/ -1 x))) (+ (* 4 (/ 1 (pow x 2))) (* 256/3 (/ 1 (pow x 6)))))) (/ 24 (pow x 4)))
(+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (/.f64 #s(literal 256/3 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)) (+.f64 (log.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal -24 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 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 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))) 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 x (.f64 x #s(literal -1/8 binary64))))))) x)
(* -1/8 (pow x 3))
(.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* (pow x 3) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* -1/8 (pow x 3))
(.f64 #s(literal -1/8 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* -1 (* (pow x 3) (- (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (/ 2 (pow x 4)))))
(.f64 (.f64 x (.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (- (+ 1/8 (* 1/2 (/ 1 (pow x 2)))) (/ 2 (pow x 4)))))
(.f64 (.f64 x (.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64))))
(+ 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 x (.f64 x #s(literal -1/8 binary64)))))))
(+ 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 x (.f64 x #s(literal -1/8 binary64)))))))
(* -1/8 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* -1/8 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* (pow x 4) (- (/ 2 (pow x 4)) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(* -1/2 (pow x 2))
(.f64 x (.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))
(* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))
(.f64 x (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))
(* -1/8 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* -1/8 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* -1 (* (pow x 4) (+ 1/8 (* 1/2 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(- (log 2) (log x))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (log 2) (log x))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (log 2) (log x))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (log 2) (log x))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (log 2) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (log 2) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (log 2) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (log 2) (* -1 (log (/ 1 x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))))
(- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))))
(- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))))
(- (log 2) (+ (log -1) (* -1 (log (/ -1 x)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))))
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(log x)
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(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)

eval104.0ms (2.3%)

Compiler: Compiled 20238 to 1950 computations (90.4% saved)

prune60.0ms (1.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	730	1	731
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	731	4	735

Accuracy

100.0%

Counts

735 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
✓	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))
✓	99.6%	(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) x))
✓	99.2%	(log.f64 (/.f64 #s(literal 2 binary64) x))

Compiler

Compiled 39 to 28 computations (28.2% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-64	(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(log.f64 (/.f64 x #s(literal 2 binary64)))

Rules

8×	`sum3-define`
8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
6×	`--lowering--.f32`
6×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
1	9	14
2	11	14
3	13	14
4	19	14
5	23	14
6	29	14
7	32	14
0	32	14

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(neg (log (/ x 2)))
(log (/ x 2))
(/ x 2)
x
2

Outputs
(neg (log (/ x 2)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x #s(literal 2 binary64))))
(log (/ x 2))
(log.f64 (/.f64 x #s(literal 2 binary64)))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)

localize27.0ms (0.6%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
✓	accuracy	100.0%	(log.f64 (/.f64 x #s(literal 2 binary64)))

Results

20.0ms

256×

valid

Compiler

Compiled 16 to 6 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-log: 3.0ms (43% of total)

ival-div: 2.0ms (28.7% of total)

ival-neg: 1.0ms (14.3% of total)

const: 0.0ms (0% of total)

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

series35.0ms (0.8%)

Counts

3 → 36

Calls

Call 1

Inputs
#<alt (log (/ x 2))>
#<alt (/ x 2)>
#<alt (neg (log (/ x 2)))>

Outputs
#<alt (+ (log 1/2) (log x))>
#<alt (+ (log 1/2) (log x))>
#<alt (+ (log 1/2) (log x))>
#<alt (+ (log 1/2) (log x))>
#<alt (+ (log 1/2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 1/2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 1/2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 1/2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -1/2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1/2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1/2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1/2) (* -1 (log (/ -1 x))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* -1 (+ (log 1/2) (log x)))>
#<alt (* -1 (+ (log 1/2) (log x)))>
#<alt (* -1 (+ (log 1/2) (log x)))>
#<alt (* -1 (+ (log 1/2) (log x)))>
#<alt (* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))>

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	x	@	0	(log (/ x 2))
12.0ms	x	@	-inf	(log (/ x 2))
9.0ms	x	@	inf	(log (/ x 2))
0.0ms	x	@	-inf	(neg (log (/ x 2)))
0.0ms	x	@	inf	(neg (log (/ x 2)))

rewrite352.0ms (7.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2826×	`-lowering-.f32`
2826×	`-lowering-.f64`
2268×	`/-lowering-/.f32`
2268×	`/-lowering-/.f64`
1336×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	12
1	24	11
2	100	11
3	646	11
4	6227	11
0	8528	11

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 583

Calls

Call 1

Inputs
(log (/ x 2))
(/ x 2)
(neg (log (/ x 2)))

Outputs
(log.f64 (/.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(+.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 #s(literal -1/2 binary64)))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (log.f64 #s(literal -1/2 binary64)) #s(literal 0 binary64)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -1 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x #s(literal -2 binary64))))
(+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))))) (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64))))))))
(+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 (log.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))) (log.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (.f64 (log.f64 #s(literal -2 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64)))
(+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1/2 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (log.f64 x)) (.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (log.f64 x)))
(+.f64 (.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 0 binary64) x))) (.f64 #s(literal 1 binary64) (log.f64 #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1/2 binary64)))
(+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (log.f64 x) #s(literal 1 binary64)))
(+.f64 (.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (.f64 (log.f64 #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 x #s(literal -2 binary64))))
(-.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(-.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 x) (-.f64 (log.f64 #s(literal 2 binary64)) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 #s(literal -2 binary64)))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 (log.f64 #s(literal -2 binary64)) #s(literal 0 binary64)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -2 binary64) x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (log.f64 (/.f64 #s(literal -2 binary64) x)) #s(literal 0 binary64)))
(-.f64 (log.f64 (/.f64 x #s(literal -2 binary64))) (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))))) #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64)))))) (/.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64)))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (log.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64)))))
(-.f64 (+.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal -2 binary64) x)))
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64))))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))))))
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))))
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(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 x #s(literal 2 binary64))))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (log.f64 (.f64 x #s(literal 2 binary64))))) (log.f64 (.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (log.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(.f64 (/.f64 (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 x #s(literal 2 binary64))))))
(.f64 (/.f64 (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) x)))) (log.f64 (.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (/.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 x #s(literal 2 binary64)))))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 0 binary64) (log.f64 (.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4 binary64)))) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(.f64 (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) #s(literal 2 binary64))) (pow.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(.f64 (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (log.f64 (.f64 x #s(literal 2 binary64)))))) (.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64))))) (log.f64 (.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (log.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (pow.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 6 binary64))) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4 binary64)))
(.f64 (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64))))))
(.f64 (/.f64 (pow.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (log.f64 (.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))))))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 (log.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))) (log.f64 (/.f64 x #s(literal 2 binary64))))) (log.f64 (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 6 binary64)))) (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4 binary64)))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))) (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))
(.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 3 binary64))) (-.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (*.f64 x #s(literal 2 binary64))))))
(.f64 (/.f64 (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) x))) (.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (log.f64 (*.f64 x #s(literal 2 binary64))))) (log.f64 (/.f64 x #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) x))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (log.f64 #s(literal 1/2 binary64)))))

simplify37.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

224×	`fnmadd-define`
160×	`fma-lowering-fma.f32`
160×	`sum3-define`
160×	`fnmsub-define`
160×	`fmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	192
1	55	184
2	92	180
3	150	180
4	264	180
5	492	180
6	737	180
7	835	180
8	841	180
0	841	180

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

Inputs
(+ (log 1/2) (log x))
(+ (log 1/2) (log x))
(+ (log 1/2) (log x))
(+ (log 1/2) (log x))
(+ (log 1/2) (* -1 (log (/ 1 x))))
(+ (log 1/2) (* -1 (log (/ 1 x))))
(+ (log 1/2) (* -1 (log (/ 1 x))))
(+ (log 1/2) (* -1 (log (/ 1 x))))
(+ (log -1/2) (* -1 (log (/ -1 x))))
(+ (log -1/2) (* -1 (log (/ -1 x))))
(+ (log -1/2) (* -1 (log (/ -1 x))))
(+ (log -1/2) (* -1 (log (/ -1 x))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -1 (+ (log 1/2) (log x)))
(* -1 (+ (log 1/2) (log x)))
(* -1 (+ (log 1/2) (log x)))
(* -1 (+ (log 1/2) (log x)))
(* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(* -1 (+ (log 1/2) (* -1 (log (/ 1 x)))))
(* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))
(* -1 (+ (log -1/2) (* -1 (log (/ -1 x)))))

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

eval123.0ms (2.7%)

Compiler: Compiled 12338 to 1439 computations (88.3% saved)

prune119.0ms (2.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	619	0	619
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	619	4	623

Accuracy

100.0%

Counts

623 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
✓	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))
✓	99.6%	(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) x))
✓	99.2%	(log.f64 (/.f64 #s(literal 2 binary64) x))

Compiler

Compiled 93 to 59 computations (36.6% saved)

regimes8.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

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

Calls

3 calls:

2.0ms

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

2.0ms

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

2.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))`
99.6%	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)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.5%	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
99.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
8×	`+-commutative_binary64`
2×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	35
1	32	35
2	34	35
3	35	35

Stop Event

1×

saturated

Calls

Call 1

Inputs
(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 x (.f64 x #s(literal -1/2 binary64)))) x))
(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
(log.f64 (/.f64 #s(literal 2 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))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) x))
(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x #s(literal 2 binary64))))
(log.f64 (/.f64 #s(literal 2 binary64) x))

soundness782.0ms (16.9%)

Rules

3978×	`-lowering-.f32`
3978×	`-lowering-.f64`
3118×	`/-lowering-/.f32`
3118×	`/-lowering-/.f64`
2872×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	155	766
1	446	654
2	1289	629
3	4070	617
0	8444	617
0	21	94
1	116	84
2	955	84
0	8277	84

Stop Event

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

Compiler

Compiled 81 to 54 computations (33.3% saved)

preprocess34.0ms (0.7%)

Compiler: Compiled 102 to 62 computations (39.2% saved)

Hyperbolic arc-(co)secant

analyze5.0ms (0.1%)

sample1.0s (21.7%)

preprocess208.0ms (4.5%)

explain117.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify154.0ms (3.3%)

localize48.0ms (1%)

series6.0ms (0.1%)

rewrite231.0ms (5%)

simplify206.0ms (4.5%)

eval53.0ms (1.2%)

prune37.0ms (0.8%)

simplify24.0ms (0.5%)

localize121.0ms (2.6%)

series133.0ms (2.9%)

rewrite354.0ms (7.7%)

simplify217.0ms (4.7%)

eval104.0ms (2.3%)

prune60.0ms (1.3%)

simplify5.0ms (0.1%)

localize27.0ms (0.6%)

series35.0ms (0.8%)

rewrite352.0ms (7.6%)

simplify37.0ms (0.8%)

eval123.0ms (2.7%)

prune119.0ms (2.6%)

regimes8.0ms (0.2%)

regimes4.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify8.0ms (0.2%)

soundness782.0ms (16.9%)

preprocess34.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	21	116
1	42	105
2	94	105
3	163	105
4	191	105
5	227	105
6	286	105
7	374	105
8	459	105
9	565	105
10	643	105
11	649	105
0	649	105

Iter	Nodes	Cost
0	21	192
1	55	184
2	92	180
3	150	180
4	264	180
5	492	180
6	737	180
7	835	180
8	841	180
0	841	180

Iter	Nodes	Cost
0	21	116
1	42	105
2	94	105
3	163	105
4	191	105
5	227	105
6	286	105
7	374	105
8	459	105
9	565	105
10	643	105
11	649	105
0	649	105

Iter	Nodes	Cost
0	21	192
1	55	184
2	92	180
3	150	180
4	264	180
5	492	180
6	737	180
7	835	180
8	841	180
0	841	180

Iter	Nodes	Cost
0	21	116
1	42	105
2	94	105
3	163	105
4	191	105
5	227	105
6	286	105
7	374	105
8	459	105
9	565	105
10	643	105
11	649	105
0	649	105

Iter	Nodes	Cost
0	21	192
1	55	184
2	92	180
3	150	180
4	264	180
5	492	180
6	737	180
7	835	180
8	841	180
0	841	180