Metrics for Hyperbolic arcsine

analyze115.0ms (1.1%)

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
25%	25%	75%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
62.5%	62.5%	37.5%	0%	0%	0%	0%	5
68.8%	68.7%	31.2%	0%	0%	0%	0%	6
71.9%	71.8%	28.1%	0%	0%	0%	0%	7
73.4%	73.4%	26.5%	0%	0%	0%	0%	8
74.2%	74.2%	25.8%	0%	0%	0%	0%	9
74.6%	74.6%	25.4%	0%	0%	0%	0%	10
74.8%	74.8%	25.2%	0%	0%	0%	0%	11
74.9%	74.9%	25.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 35.0ms (53.4% of total)

ival-add: 11.0ms (16.8% of total)

ival-log: 9.0ms (13.7% of total)

ival-sqrt: 9.0ms (13.7% of total)

const: 1.0ms (1.5% of total)

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

sample2.3s (21.2%)

Results

1.0s	2720×	2	valid
744.0ms	3383×	1	valid
187.0ms	2153×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-log: 806.0ms (50.3% of total)

ival-add: 209.0ms (13.1% of total)

backward-pass: 198.0ms (12.4% of total)

ival-sqrt: 187.0ms (11.7% of total)

ival-mult: 181.0ms (11.3% of total)

const: 19.0ms (1.2% of total)

Bogosity

preprocess30.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

216×	`fnmadd-define`
196×	`fmsub-define`
194×	`fnmsub-define`
150×	`sum3-define`
128×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	27
1	32	19
2	62	19
3	110	19
4	248	19
5	451	19
6	657	19
7	795	19
8	826	19
0	7	8
1	12	6
2	13	6
3	14	6
0	14	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain204.0ms (1.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
123	-	0	-	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
74	-	1	(-6.336664684318491)	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
64	-	0	-	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
0	-	0	-	`x`
0	-	0	-	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`#s(literal 1 binary64)`

Results

75.0ms	176×	2	valid
47.0ms	216×	1	valid
12.0ms	120×	0	valid

Compiler

Compiled 80 to 23 computations (71.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-log: 44.0ms (47.2% of total)

ival-mult: 13.0ms (13.9% of total)

ival-add: 12.0ms (12.9% of total)

backward-pass: 12.0ms (12.9% of total)

ival-sqrt: 11.0ms (11.8% of total)

const: 1.0ms (1.1% of total)

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	27.4%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
4×	`+-commutative`
2×	`hypot-1-def`
2×	`sqrt-lowering-sqrt.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	13	16
2	14	16
0	14	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize138.0ms (1.3%)

Localize:

Found 3 expressions of interest:

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

Results

116.0ms	196×	5	exit
5.0ms	60×	0	valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-log: 41.0ms (36.9% of total)

compiled-spec: 26.0ms (23.4% of total)

backward-pass: 17.0ms (15.3% of total)

ival-mult: 13.0ms (11.7% of total)

ival-add: 10.0ms (9% of total)

ival-sqrt: 4.0ms (3.6% of total)

const: 1.0ms (0.9% of total)

series4.0ms (0%)

Counts

3 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite288.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1820×	`-lowering-.f32`
1820×	`-lowering-.f64`
1708×	`fma-lowering-fma.f32`
1708×	`fma-lowering-fma.f64`
1576×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	40	14
2	323	14
3	3596	14
0	8355	14

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 139

Calls

Call 1

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

Outputs
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (log.f64 (*.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (-.f64 #s(literal 0 binary64) (log1p.f64 (+.f64 (.f64 x x) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))
(+.f64 (log1p.f64 (+.f64 (.f64 x x) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))))
(+.f64 (log1p.f64 (+.f64 (.f64 x x) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (/.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))))
(+.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))))
(+.f64 (log.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(+.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (+.f64 (.f64 x x) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) (log.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (log.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))))
(+.f64 (log.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))))) (log.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (.f64 x x))))))
(+.f64 (log.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))))) (log.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))
(+.f64 (log.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))))) (log.f64 (+.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))))))
(-.f64 (log.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (log1p.f64 (+.f64 (.f64 x x) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))))
(-.f64 (log.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (log1p.f64 (-.f64 (.f64 x x) (.f64 x x))) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(-.f64 (log.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 9/2 binary64)))) (log.f64 (.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))))))
(-.f64 (log.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (log.f64 (.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))))))
(-.f64 (log.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (log.f64 (.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))))))
(-.f64 (log.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (log.f64 (.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (log.f64 (*.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 9/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))) (-.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))
(.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))))
(.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (/.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))
(.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))))
(.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))) (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (+.f64 (.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 x x))))
(hypot.f64 #s(literal 1 binary64) x)
(hypot.f64 #s(literal 1 binary64) (exp.f64 (log.f64 x)))
(fabs.f64 (hypot.f64 #s(literal 1 binary64) x))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.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 (.f64 x x) #s(literal -1 binary64)))))) (hypot.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(/.f64 (sqrt.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (hypot.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)))))
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 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 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(.f64 (hypot.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64)))))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))))))))
(.f64 (hypot.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 (.f64 x x) #s(literal -1 binary64))))))))
(.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) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x 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 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)))

simplify204.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

3480×	`+-lowering-+.f64`
3480×	`+-lowering-+.f32`
2488×	`-lowering-.f32`
2488×	`-lowering-.f64`
1576×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	434
1	355	396
2	1102	379
3	3807	356
0	8425	356

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

eval24.0ms (0.2%)

Compiler: Compiled 5033 to 656 computations (87% saved)

prune30.0ms (0.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	167	8	175
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	167	9	176

Accuracy

100.0%

Counts

176 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	4.3%	(log.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
	29.4%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
	28.9%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
	29.2%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
▶	23.4%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))
▶	24.1%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
✓	27.4%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
▶	23.4%	(log.f64 (+.f64 x x))
▶	50.9%	x

Compiler

Compiled 177 to 117 computations (33.9% saved)

simplify154.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	512	(-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))
✓	cost-diff	512	(/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))
✓	cost-diff	512	(log.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x))
✓	cost-diff	0	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(log.f64 (+.f64 x x))

Rules

1758×	`fmsub-define`
1726×	`sum4-define`
1630×	`fnmsub-define`
1578×	`fmm-def`
1462×	`-lowering-.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	24	142
1	48	138
2	90	120
3	170	120
4	295	120
5	701	118
6	3814	118
0	8207	118

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize228.0ms (2.1%)

Localize:

Found 14 expressions of interest:

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

Results

92.0ms	59×	5	exit
89.0ms	197×	0	invalid

Compiler

Compiled 151 to 24 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-add: 53.0ms (31.8% of total)

compiled-spec: 51.0ms (30.6% of total)

backward-pass: 17.0ms (10.2% of total)

ival-log: 15.0ms (9% of total)

ival-div: 11.0ms (6.6% of total)

ival-mult: 11.0ms (6.6% of total)

ival-sub: 6.0ms (3.6% of total)

ival-sqrt: 2.0ms (1.2% of total)

const: 1.0ms (0.6% of total)

series67.0ms (0.6%)

Counts

16 → 192

Calls

Call 1

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

Outputs
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* 4 (pow x 2))))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* -8 (pow x 2))))))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 64/3 (pow x 2)) 8))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 2 (pow x 2))) x)>
#<alt (/ (+ 1/2 (* 2 (pow x 2))) x)>
#<alt (/ (+ 1/2 (* 2 (pow x 2))) x)>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (/ 1/2 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 (+ (log -1/8) (* -3 (log x)))>
#<alt (+ (log -1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -24 (pow x 2)) 4))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -256/3 (pow x 2)) 24)) 4))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* 2 (pow x 2)))) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* 2 (pow x 2)))) 1/8) (pow x 3))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ 1/2 x)>
#<alt (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 2))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 2))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 2))>
#<alt 1/2>
#<alt (- 1/2 (* 1/8 (/ 1 (pow x 2))))>
#<alt (- 1/2 (* 1/8 (/ 1 (pow x 2))))>
#<alt (- 1/2 (* 1/8 (/ 1 (pow x 2))))>
#<alt 1/2>
#<alt (- 1/2 (* 1/8 (/ 1 (pow x 2))))>
#<alt (- 1/2 (* 1/8 (/ 1 (pow x 2))))>
#<alt (- 1/2 (* 1/8 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* -1/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)>
#<alt (/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))>

Calls

48 calls:

Time	Variable		Point	Expression
27.0ms	x	@	0	(log (+ x x))
22.0ms	x	@	-inf	(log (+ x x))
7.0ms	x	@	inf	(log (+ x x))
2.0ms	x	@	inf	(+ 1 (* x x))
1.0ms	x	@	0	(log (+ (* x 2) (/ (+ 1/2 (/ -1/8 (* x x))) x)))

rewrite125.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

764×	`/-lowering-/.f32`
764×	`/-lowering-/.f64`
718×	`-lowering-.f32`
718×	`-lowering-.f64`
398×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	111
1	155	81
0	1983	81

Stop Event

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

Counts

16 → 573

Calls

Call 1

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

Outputs
(log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(-.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))) (log.f64 (+.f64 (.f64 x x) #s(literal 0 binary64))))
(-.f64 (log.f64 #s(literal 0 binary64)) (log.f64 #s(literal 0 binary64)))
(+.f64 x x)
(+.f64 x (+.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 x (-.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x))
(+.f64 (.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 x #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) x (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
(/.f64 x #s(literal 1/2 binary64))
(/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x))
(/.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))
(/.f64 #s(literal 1/4 binary64) (*.f64 x x))
(/.f64 #s(literal 1/4 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (+.f64 (.f64 x x) #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (+.f64 (.f64 x x) #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x) (.f64 (+.f64 (.f64 x x) #s(literal 0 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal 0 binary64)) x))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 x x) #s(literal 0 binary64)))
(/.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))))
(/.f64 (+.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) x)) (.f64 (+.f64 (.f64 x x) #s(literal 0 binary64)) #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 (.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 (+.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 x x) #s(literal 0 binary64))) (.f64 x (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))) (.f64 x (+.f64 (.f64 x x) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 0 binary64))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (+.f64 (.f64 x x) #s(literal 0 binary64))))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (.f64 x x) #s(literal 0 binary64))) (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))))) (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (.f64 x x) #s(literal 0 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) x) (.f64 (+.f64 (.f64 x x) #s(literal 0 binary64)) #s(literal 1/2 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal 0 binary64)) x))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal 0 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) x)) (.f64 (+.f64 (.f64 x x) #s(literal 0 binary64)) #s(literal -1/2 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64)) (.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) #s(literal 1/2 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 0 binary64)) x))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 x (*.f64 x x))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) #s(literal -1/2 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 x x) #s(literal 0 binary64)) (+.f64 (.f64 x x) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) #s(literal 0 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) #s(literal 0 binary64))))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))) (neg.f64 (+.f64 (.f64 x x) #s(literal 0 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) x)
(/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))) (+.f64 (*.f64 x x) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) x)
(/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
(*.f64 x #s(literal 2 binary64))
(.f64 x (.f64 #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 #s(literal 2 binary64) x)
(.f64 #s(literal 2 binary64) (.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(.f64 (.f64 x x) #s(literal 4 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(.f64 #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 x (*.f64 x x)) #s(literal 8 binary64))
(.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(.f64 #s(literal 8 binary64) (.f64 x (*.f64 x x)))
(.f64 #s(literal 4 binary64) (.f64 x x))
(*.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)))
(.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) #s(literal 2 binary64))
(.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) x)
(log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(-.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 x (.f64 x x)))) (log.f64 (+.f64 (.f64 x x) #s(literal 0 binary64))))
(-.f64 (log.f64 #s(literal 0 binary64)) (log.f64 #s(literal 0 binary64)))
(+.f64 x x)
(+.f64 x (+.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 x (-.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (fma.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x))
(+.f64 (.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (+.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 x #s(literal 2 binary64) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) x (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
(/.f64 x #s(literal 1/2 binary64))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (.f64 (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (.f64 (.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal 1 binary64))))) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 (.f64 (.f64 (+.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 #s(literal -1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (+.f64 (+.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal 1 binary64))) (*.f64 x (hypot.f64 #s(literal 1 binary64) x))))
#s(literal -1 binary64)
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) x) x)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))) (/.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))))
(/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))))
(.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(sqrt.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 x x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 x x))))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64)))
(pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 x (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x)) x)
(-.f64 x (hypot.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (+.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal 1 binary64))) (.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (+.f64 (+.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal 1 binary64))) (*.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal 1 binary64))) (.f64 x (hypot.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))) (+.f64 (+.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal 1 binary64))) (.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal 1 binary64))) (.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (.f64 x x) (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x))) (*.f64 x (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x)))) (-.f64 x (-.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x))))
(.f64 (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal 1 binary64))) (*.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))

simplify237.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

3200×	`+-lowering-+.f64`
3200×	`+-lowering-+.f32`
2566×	`fma-lowering-fma.f32`
2566×	`fma-lowering-fma.f64`
2422×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	1497
1	635	1359
2	2036	1332
3	7279	1332
0	8245	1332

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (+ (* -1 (log x)) (* 4 (pow x 2))))
(+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* -8 (pow x 2))))))
(+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 64/3 (pow x 2)) 8))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))
(/ 1/2 x)
(/ (+ 1/2 (* 2 (pow x 2))) x)
(/ (+ 1/2 (* 2 (pow x 2))) x)
(/ (+ 1/2 (* 2 (pow x 2))) x)
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ 1/2 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)
(+ (log -1/8) (* -3 (log x)))
(+ (log -1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -24 (pow x 2)) 4))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -256/3 (pow x 2)) 24)) 4))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(/ -1/8 (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (+ 1/2 (* 2 (pow x 2)))) 1/8) (pow x 3))
(/ (- (* (pow x 2) (+ 1/2 (* 2 (pow x 2)))) 1/8) (pow x 3))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(/ -1/8 (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/ 1/2 x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ 1/2 x)
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -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 (pow x 2)) 1/8) (pow x 2))
1/2
(- 1/2 (* 1/8 (/ 1 (pow x 2))))
(- 1/2 (* 1/8 (/ 1 (pow x 2))))
(- 1/2 (* 1/8 (/ 1 (pow x 2))))
1/2
(- 1/2 (* 1/8 (/ 1 (pow x 2))))
(- 1/2 (* 1/8 (/ 1 (pow x 2))))
(- 1/2 (* 1/8 (/ 1 (pow x 2))))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
-1
(- x 1)
(- (* x (+ 1 (* -1/2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))

Outputs
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* 2 x)
(*.f64 #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 1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(+ (log 1/2) (+ (* -1 (log x)) (* 4 (pow x 2))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (log.f64 x)))
(+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* -8 (pow x 2))))))
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x #s(literal -8 binary64))))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)))
(+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 64/3 (pow x 2)) 8))))))
(+.f64 (.f64 x (.f64 x (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -8 binary64) (.f64 (.f64 x x) #s(literal 64/3 binary64))))))) (-.f64 (log.f64 #s(literal 1/2 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))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -1/32 binary64) (.f64 x (.f64 x (.f64 x x))))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (+.f64 (/.f64 #s(literal 1/192 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -1/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))
(+.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -1/32 binary64) (.f64 x (.f64 x (.f64 x x))))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))
(+.f64 (log.f64 #s(literal -2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 1/192 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) x)
(/ (+ 1/2 (* 2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) x)
(/ (+ 1/2 (* 2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x 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)
(/ 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)
(+ (log -1/8) (* -3 (log x)))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (*.f64 (log.f64 x) #s(literal -3 binary64)))
(+ (log -1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))
(+.f64 (+.f64 (log.f64 #s(literal -1/8 binary64)) (.f64 (log.f64 x) #s(literal -3 binary64))) (.f64 x (*.f64 x #s(literal -4 binary64))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -24 (pow x 2)) 4))))
(+.f64 (+.f64 (log.f64 #s(literal -1/8 binary64)) (.f64 (log.f64 x) #s(literal -3 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -4 binary64) (.f64 (*.f64 x x) #s(literal -24 binary64)))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -256/3 (pow x 2)) 24)) 4))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (+.f64 (.f64 (log.f64 x) #s(literal -3 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal -4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -24 binary64) (.f64 (*.f64 x x) #s(literal -256/3 binary64))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x))))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (+.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x))))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(/ -1/8 (pow x 3))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(/ (- (* (pow x 2) (+ 1/2 (* 2 (pow x 2)))) 1/8) (pow x 3))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/8 binary64) x) x)) x)
(/ (- (* (pow x 2) (+ 1/2 (* 2 (pow x 2)))) 1/8) (pow x 3))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/8 binary64) x) x)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(/ -1/8 (pow x 3))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x #s(literal -5/112 binary64)))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x))))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(.f64 x (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (*.f64 x x))))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f64 (+.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (*.f64 x x)))))) x)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 2))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 2))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 2))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/8 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(- 1/2 (* 1/8 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(- 1/2 (* 1/8 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
1/2
#s(literal 1/2 binary64)
(- 1/2 (* 1/8 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(- 1/2 (* 1/8 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(- 1/2 (* 1/8 (/ 1 (pow x 2))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (* x (+ 1 (* -1/2 x))) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/8 binary64))))))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (*.f64 x x))))) x)
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (*.f64 x x)))))) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
(.f64 x (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))))

eval77.0ms (0.7%)

Compiler: Compiled 14942 to 1793 computations (88% saved)

prune108.0ms (1%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	916	4	920
Fresh	2	1	3
Picked	1	4	5
Done	0	1	1
Total	919	10	929

Accuracy

100.0%

Counts

929 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.0%	(log.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
▶	29.4%	(log.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) x))
▶	28.9%	(log.f64 (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (*.f64 x x))))) x))
▶	29.2%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
▶	32.4%	(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
✓	23.4%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))
✓	24.1%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
✓	27.4%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
✓	23.4%	(log.f64 (+.f64 x x))
✓	50.9%	x

Compiler

Compiled 192 to 127 computations (33.9% saved)

simplify220.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))
✓	cost-diff	512	(-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))
✓	cost-diff	768	(/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
✓	cost-diff	768	(log.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
✓	cost-diff	0	(+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64))
✓	cost-diff	0	(+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (*.f64 x x)))))
✓	cost-diff	0	(/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (*.f64 x x))))) x)
✓	cost-diff	0	(log.f64 (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (*.f64 x x))))) x))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 1/8 binary64) x) x)
✓	cost-diff	0	(+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) x)
✓	cost-diff	0	(log.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) x))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
✓	cost-diff	0	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	cost-diff	0	(hypot.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(-.f64 x (hypot.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))

Rules

2148×	`-lowering-.f32`
2148×	`-lowering-.f64`
1608×	`sum3-define`
1382×	`/-lowering-/.f32`
1382×	`/-lowering-/.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	37	278
1	83	253
2	189	241
3	447	238
4	827	232
5	2309	232
6	7907	230
0	8029	230

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize261.0ms (2.4%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	99.7%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	72.0%	(-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))
✓	accuracy	100.0%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	100.0%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(/.f64 (/.f64 #s(literal 1/8 binary64) x) x)
✓	accuracy	99.8%	(/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	100.0%	(/.f64 #s(literal 1/8 binary64) x)
✓	accuracy	100.0%	(+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64))
✓	accuracy	100.0%	(log.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) x))
✓	accuracy	100.0%	(/.f64 (/.f64 #s(literal 1/8 binary64) x) x)
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	accuracy	100.0%	(hypot.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 x (hypot.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))

Results

90.0ms	182×	0	invalid
50.0ms	28×	2	valid
44.0ms	45×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 323 to 37 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-log: 38.0ms (30.5% of total)

ival-div: 25.0ms (20.1% of total)

ival-mult: 16.0ms (12.9% of total)

compiled-spec: 15.0ms (12% of total)

ival-add: 11.0ms (8.8% of total)

backward-pass: 11.0ms (8.8% of total)

ival-sub: 4.0ms (3.2% of total)

ival-sqrt: 3.0ms (2.4% of total)

const: 2.0ms (1.6% of total)

series81.0ms (0.8%)

Counts

23 → 276

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))>
#<alt -1>
#<alt (- x 1)>
#<alt (- (* x (+ 1 (* -1/2 x))) 1)>
#<alt (- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)>
#<alt (/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (+ (log 1/8) (* -3 (log x)))>
#<alt (+ (log 1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))>
#<alt (+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))>
#<alt (+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (- (+ (log -1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ 1/8 (pow x 3))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))>
#<alt -1/2>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt -1/2>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* -2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* 6 (pow x 2)) 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* (pow x 2) (+ 6 (* 40/3 (pow x 2)))) 2))))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (- (+ (log -1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* 1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))>
#<alt -1/2>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))>
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))>
#<alt -1/2>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))>
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))>
#<alt (+ (log 8) (* 3 (log x)))>
#<alt (+ (log 8) (+ (* 3 (log x)) (* 4 (pow x 2))))>
#<alt (+ (log 8) (+ (* 3 (log x)) (* (pow x 2) (+ 4 (* 24 (pow x 2))))))>
#<alt (+ (log 8) (+ (* 3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (+ 24 (* 256/3 (pow x 2))))))))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (- (+ (log -1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))>
#<alt (* 8 (pow x 3))>
#<alt (* (pow x 3) (+ 8 (* 32 (pow x 2))))>
#<alt (* (pow x 3) (+ 8 (* (pow x 2) (+ 32 (* 256 (pow x 2))))))>
#<alt (* (pow x 3) (+ 8 (* (pow x 2) (+ 32 (* (pow x 2) (+ 256 (* 1536 (pow x 2))))))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)>
#<alt (/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) x))>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* 2 (pow x 2)))) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* 2 (pow x 2)))) 1/8) (pow x 3))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ 1/8 x)>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ -1/16 (pow x 4))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<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 (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>
#<alt (/ -1/8 (pow x 4))>

Calls

69 calls:

Time	Variable		Point	Expression
29.0ms	x	@	-inf	(log (/ -1/2 x))
16.0ms	x	@	0	(log (/ -1/2 x))
11.0ms	x	@	inf	(/ (+ (+ (/ (/ 1/8 x) x) -1/2) (/ -1/16 (* x (* x (* x x))))) x)
6.0ms	x	@	inf	(log (/ -1/2 x))
5.0ms	x	@	0	(log (/ (- (* x x) (+ 1 (* x x))) (* x (+ (+ 2 (/ 1/2 (* x x))) (/ -1/8 (* x (* x (* x x))))))))

rewrite516.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3718×	`/-lowering-/.f32`
3718×	`/-lowering-/.f64`
2538×	`-lowering-.f32`
2538×	`-lowering-.f64`
1854×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	213
1	244	192
2	2658	183
0	9371	183

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 696

Calls

Call 1

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

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

simplify416.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

4826×	`+-lowering-+.f64`
4826×	`+-lowering-+.f32`
3358×	`-lowering-.f32`
3358×	`-lowering-.f64`
1814×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	2309
1	896	2188
2	3031	2142
0	8272	2142

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
-1
(- x 1)
(- (* x (+ 1 (* -1/2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ -1 x)))
(+ (log 1/2) (log (/ -1 x)))
(+ (log 1/2) (log (/ -1 x)))
(+ (log 1/2) (log (/ -1 x)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(+ (log 1/8) (* -3 (log x)))
(+ (log 1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+ (log -1/2) (log (/ 1 x)))
(- (+ (log -1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ 1/8 (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/ 1/8 (pow x 2))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* -2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* 6 (pow x 2)) 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* (pow x 2) (+ 6 (* 40/3 (pow x 2)))) 2))))
(+ (log -1/2) (log (/ 1 x)))
(- (+ (log -1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log -1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log -1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/ -1/16 (pow x 4))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(+ (log 8) (* 3 (log x)))
(+ (log 8) (+ (* 3 (log x)) (* 4 (pow x 2))))
(+ (log 8) (+ (* 3 (log x)) (* (pow x 2) (+ 4 (* 24 (pow x 2))))))
(+ (log 8) (+ (* 3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (+ 24 (* 256/3 (pow x 2))))))))
(+ (log -1/2) (log (/ 1 x)))
(- (+ (log -1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log -1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log -1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))
(* 8 (pow x 3))
(* (pow x 3) (+ 8 (* 32 (pow x 2))))
(* (pow x 3) (+ 8 (* (pow x 2) (+ 32 (* 256 (pow x 2))))))
(* (pow x 3) (+ 8 (* (pow x 2) (+ 32 (* (pow x 2) (+ 256 (* 1536 (pow x 2))))))))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) x))
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(/ -1/8 (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (+ 1/2 (* 2 (pow x 2)))) 1/8) (pow x 3))
(/ (- (* (pow x 2) (+ 1/2 (* 2 (pow x 2)))) 1/8) (pow x 3))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ 1/8 x)
(/ -1/16 (pow x 4))
(/ -1/16 (pow x 4))
(/ -1/16 (pow x 4))
(/ -1/16 (pow x 4))
(/ -1/16 (pow x 4))
(/ -1/16 (pow x 4))
(/ -1/16 (pow x 4))
(/ -1/16 (pow x 4))
(/ -1/16 (pow x 4))
(/ -1/16 (pow x 4))
(/ -1/16 (pow x 4))
(/ -1/16 (pow x 4))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(/ 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))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))
(/ -1/8 (pow x 4))

Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (log.f64 x))) (/.f64 #s(literal -3/32 binary64) (.f64 (.f64 x x) (.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -3/32 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/4 binary64) (.f64 x x))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) x) x)) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) x) x)) (/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) (+.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))))) x)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- (* x (+ 1 (* -1/2 x))) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/8 binary64)))))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) x) x)) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) x) x)) (/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))) x)
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) (+.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))))) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
(.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64))))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/16 binary64))))))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
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(- (+ (log -1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))
(+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x)) (/.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/4 binary64) (.f64 x x))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))
(+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 8 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 8 binary64)))
(* (pow x 3) (+ 8 (* 32 (pow x 2))))
(.f64 (.f64 (.f64 (+.f64 #s(literal 8 binary64) (.f64 (*.f64 x x) #s(literal 32 binary64))) x) x) x)
(* (pow x 3) (+ 8 (* (pow x 2) (+ 32 (* 256 (pow x 2))))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 32 binary64) (.f64 (*.f64 x x) #s(literal 256 binary64)))))))
(* (pow x 3) (+ 8 (* (pow x 2) (+ 32 (* (pow x 2) (+ 256 (* 1536 (pow x 2))))))))
(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 32 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 256 binary64) (.f64 (*.f64 x x) #s(literal 1536 binary64)))))))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) x) x)) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) x) x)) (/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))) x)
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) (-.f64 (/.f64 #s(literal 3/128 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))))) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) x) x)) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) x) x)) (/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) x))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) (-.f64 (/.f64 #s(literal 3/128 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))))) x)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
(/ -1/8 (pow x 3))
(/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 x x)) x)
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) x))
(/ (- (* (pow x 2) (+ 1/2 (* 2 (pow x 2)))) 1/8) (pow x 3))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 2 binary64)))) x)) (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) x))
(/ (- (* (pow x 2) (+ 1/2 (* 2 (pow x 2)))) 1/8) (pow x 3))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x #s(literal 2 binary64)))) x)) (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ 1/8 x)
(/.f64 #s(literal 1/8 binary64) x)
(/ -1/16 (pow x 4))
(/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ -1/16 (pow x 4))
(/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ -1/16 (pow x 4))
(/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ -1/16 (pow x 4))
(/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ -1/16 (pow x 4))
(/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ -1/16 (pow x 4))
(/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ -1/16 (pow x 4))
(/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ -1/16 (pow x 4))
(/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ -1/16 (pow x 4))
(/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ -1/16 (pow x 4))
(/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ -1/16 (pow x 4))
(/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ -1/16 (pow x 4))
(/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(pow x 4)
(.f64 (.f64 x x) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ 1/2 (pow x 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))

eval160.0ms (1.5%)

Compiler: Compiled 34154 to 3497 computations (89.8% saved)

prune146.0ms (1.3%)

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	1123	5	1128
Fresh	0	0	0
Picked	1	4	5
Done	0	5	5
Total	1124	14	1138

Accuracy

100.0%

Counts

1138 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	0.8%	(log.f64 (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
▶	1.0%	(log.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))) x))
✓	29.4%	(log.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) x))
✓	28.9%	(log.f64 (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (*.f64 x x))))) x))
✓	29.2%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	32.4%	(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
▶	29.0%	(log.f64 (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
▶	29.9%	(log.f64 (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))
▶	1.0%	(log.f64 (-.f64 (/.f64 (/.f64 (.f64 x x) x) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) x) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))))
✓	23.4%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))
✓	24.1%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
✓	27.4%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
✓	23.4%	(log.f64 (+.f64 x x))
✓	50.9%	x

Compiler

Compiled 478 to 226 computations (52.7% saved)

simplify264.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))
✓	cost-diff	256	(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))))
✓	cost-diff	512	(/.f64 (-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
✓	cost-diff	512	(log.f64 (/.f64 (-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
✓	cost-diff	256	(/.f64 (*.f64 x x) x)
✓	cost-diff	256	(/.f64 (/.f64 (.f64 x x) x) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
✓	cost-diff	1536	(-.f64 (/.f64 (/.f64 (.f64 x x) x) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) x) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))))
✓	cost-diff	1536	(log.f64 (-.f64 (/.f64 (/.f64 (.f64 x x) x) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) x) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))))
✓	cost-diff	0	(/.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
✓	cost-diff	0	(-.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))))
✓	cost-diff	1408	(/.f64 (-.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))) x)
✓	cost-diff	1408	(log.f64 (/.f64 (-.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))) x))
✓	cost-diff	0	(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))
✓	cost-diff	256	(.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))
✓	cost-diff	256	(/.f64 #s(literal -1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
✓	cost-diff	256	(log.f64 (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
✓	cost-diff	128	(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
✓	cost-diff	128	(/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
✓	cost-diff	128	(log.f64 (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))

Rules

3574×	`-lowering-.f32`
3574×	`-lowering-.f64`
2510×	`+-lowering-+.f64`
2510×	`+-lowering-+.f32`
1852×	`sum4-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	829
1	113	716
2	300	704
3	831	625
4	3266	609
0	8618	609

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize424.0ms (3.9%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	81.5%	(/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
✓	accuracy	81.5%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
✓	accuracy	72.0%	(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))))
✓	accuracy	99.7%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	86.1%	(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x)
✓	accuracy	86.1%	(/.f64 (*.f64 x x) x)
✓	accuracy	73.0%	(-.f64 (/.f64 (/.f64 (.f64 x x) x) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) x) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))))
✓	accuracy	100.0%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	99.7%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	72.0%	(-.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))))
✓	accuracy	100.0%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	100.0%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	99.7%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(log.f64 (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))
✓	accuracy	99.7%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))

Results

119.0ms	182×	0	invalid
72.0ms	33×	2	valid
63.0ms	40×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 956 to 41 computations (95.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 120.0ms

ival-div: 36.0ms (30% of total)

ival-log: 33.0ms (27.5% of total)

ival-mult: 16.0ms (13.3% of total)

ival-add: 14.0ms (11.7% of total)

backward-pass: 11.0ms (9.2% of total)

ival-sub: 8.0ms (6.7% of total)

const: 1.0ms (0.8% of total)

series15.0ms (0.1%)

Counts

27 → 324

Calls

Call 1

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

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

Calls

81 calls:

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

rewrite722.0ms (6.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2854×	`-lowering-.f32`
2854×	`-lowering-.f64`
2828×	`/-lowering-/.f32`
2828×	`/-lowering-/.f64`
2522×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	414
1	333	339
2	4652	339
0	8501	339

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 1242

Calls

Call 1

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

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

simplify402.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

5084×	`-lowering-.f32`
5084×	`-lowering-.f64`
4138×	`+-lowering-+.f64`
4138×	`+-lowering-+.f32`
1524×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	276	3166
1	819	3018
2	2663	2908
0	8259	2908

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

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

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

eval743.0ms (6.9%)

Compiler: Compiled 165098 to 5219 computations (96.8% saved)

prune234.0ms (2.2%)

Pruning

14 alts after pruning (3 fresh and 11 done)

	Pruned	Kept	Total
New	2715	3	2718
Fresh	0	0	0
Picked	3	2	5
Done	0	9	9
Total	2718	14	2732

Accuracy

100.0%

Counts

2732 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	0.6%	(log.f64 (/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64))))) (-.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))))) (.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))))
	1.2%	(log.f64 (/.f64 (-.f64 (.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) x)) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))))
✓	29.4%	(log.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) x))
✓	28.9%	(log.f64 (/.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) x) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (*.f64 x x))))) x))
✓	29.2%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	32.4%	(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
✓	29.0%	(log.f64 (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
✓	29.9%	(log.f64 (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))))
	1.0%	(log.f64 (-.f64 (/.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) x) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))))))))
✓	23.4%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))
✓	24.1%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
✓	27.4%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
✓	23.4%	(log.f64 (+.f64 x x))
✓	50.9%	x

Compiler

Compiled 796 to 253 computations (68.2% saved)

regimes24.0ms (0.2%)

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

8.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
7.0ms	x
6.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
89.8%	4	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
89.8%	4	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

10 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
72.5%	2	`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
x

Outputs
x

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
50.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch42.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	2.667229724695076e-29	737.360890649027
18.0ms	-6.336664684318491	-1.5213181506506593e-9

Results

23.0ms	304×	0	valid
2.0ms	16×	1	valid

Compiler

Compiled 340 to 254 computations (25.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-log: 5.0ms (33.4% of total)

ival-add: 4.0ms (26.7% of total)

ival-mult: 3.0ms (20% of total)

ival-sqrt: 3.0ms (20% of total)

const: 1.0ms (6.7% of total)

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

bsearch37.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.667229724695076e-29	737.360890649027
14.0ms	-6.336664684318491	-1.5213181506506593e-9

Results

20.0ms	304×	0	valid
4.0ms	16×	1	valid

Compiler

Compiled 466 to 326 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-add: 5.0ms (32.9% of total)

ival-log: 4.0ms (26.3% of total)

ival-mult: 3.0ms (19.7% of total)

ival-sqrt: 3.0ms (19.7% of total)

const: 0.0ms (0% of total)

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

bsearch43.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	2.667229724695076e-29	737.360890649027
16.0ms	-6.336664684318491	-1.5213181506506593e-9

Results

27.0ms	304×	0	valid
2.0ms	16×	1	valid

Compiler

Compiled 448 to 308 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-log: 5.0ms (32.1% of total)

ival-add: 4.0ms (25.7% of total)

ival-mult: 3.0ms (19.3% of total)

ival-sqrt: 3.0ms (19.3% of total)

const: 1.0ms (6.4% of total)

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

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.667229724695076e-29	737.360890649027
15.0ms	-6.336664684318491	-1.5213181506506593e-9

Results

22.0ms	304×	0	valid
3.0ms	16×	1	valid

Compiler

Compiled 376 to 281 computations (25.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-add: 4.0ms (26.3% of total)

ival-log: 4.0ms (26.3% of total)

ival-sqrt: 4.0ms (26.3% of total)

ival-mult: 3.0ms (19.7% of total)

const: 0.0ms (0% of total)

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

bsearch41.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	2.667229724695076e-29	737.360890649027
16.0ms	-6.336664684318491	-1.5213181506506593e-9

Results

24.0ms	304×	0	valid
2.0ms	16×	1	valid

Compiler

Compiled 310 to 237 computations (23.5% saved)

Precisions

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

ival-sqrt: 5.0ms (29.8% of total)

ival-add: 4.0ms (23.8% of total)

ival-log: 4.0ms (23.8% of total)

ival-mult: 3.0ms (17.9% of total)

const: 0.0ms (0% of total)

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

bsearch48.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	2.667229724695076e-29	737.360890649027
14.0ms	-6.336664684318491	-1.5213181506506593e-9

Results

31.0ms	304×	0	valid
2.0ms	16×	1	valid

Compiler

Compiled 292 to 219 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 4.0ms (27.9% of total)

ival-log: 4.0ms (27.9% of total)

ival-mult: 3.0ms (20.9% of total)

ival-sqrt: 3.0ms (20.9% of total)

const: 0.0ms (0% of total)

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

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.667229724695076e-29	737.360890649027
15.0ms	-6.336664684318491	-1.5213181506506593e-9

Results

20.0ms	304×	0	valid
2.0ms	16×	1	valid

Compiler

Compiled 238 to 183 computations (23.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 4.0ms (27.6% of total)

ival-log: 4.0ms (27.6% of total)

ival-mult: 3.0ms (20.7% of total)

ival-sqrt: 3.0ms (20.7% of total)

const: 1.0ms (6.9% of total)

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

bsearch37.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.667229724695076e-29	737.360890649027
14.0ms	-6.336664684318491	-1.5213181506506593e-9

Results

21.0ms	304×	0	valid
2.0ms	16×	1	valid

Compiler

Compiled 194 to 139 computations (28.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-add: 4.0ms (25.9% of total)

ival-log: 4.0ms (25.9% of total)

ival-mult: 4.0ms (25.9% of total)

ival-sqrt: 3.0ms (19.4% of total)

const: 0.0ms (0% of total)

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

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.667229724695076e-29	737.360890649027

Results

11.0ms	160×	0	valid
2.0ms	16×	1	valid

Compiler

Compiled 113 to 76 computations (32.7% saved)

Precisions

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

ival-add: 2.0ms (23.8% of total)

ival-log: 2.0ms (23.8% of total)

ival-mult: 2.0ms (23.8% of total)

ival-sqrt: 1.0ms (11.9% of total)

const: 0.0ms (0% of total)

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary64`
12×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	258
1	95	258
2	98	258
3	100	258
4	101	258

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -1770887431076117/295147905179352825856 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (if (<=.f64 x #s(literal 3422735716801577/4503599627370496 binary64)) x (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))))
(if (<=.f64 x #s(literal -3512807709348987/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))) (if (<=.f64 x #s(literal 3422735716801577/4503599627370496 binary64)) x (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))))
(if (<=.f64 x #s(literal -8106479329266893/9007199254740992 binary64)) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)) (if (<=.f64 x #s(literal 3422735716801577/4503599627370496 binary64)) x (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))))
(if (<=.f64 x #s(literal -3602879701896397/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) (if (<=.f64 x #s(literal 3422735716801577/4503599627370496 binary64)) x (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))))
(if (<=.f64 x #s(literal -3602879701896397/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) (if (<=.f64 x #s(literal 3602879701896397/4503599627370496 binary64)) x (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -1080863910568919/1125899906842624 binary64)) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)) (if (<=.f64 x #s(literal 3602879701896397/4503599627370496 binary64)) x (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 3602879701896397/4503599627370496 binary64)) x (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 5/4 binary64)) x (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal 5/4 binary64)) x (log.f64 (+.f64 x x)))
x

Outputs
(if (<=.f64 x #s(literal -1770887431076117/295147905179352825856 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (if (<=.f64 x #s(literal 3422735716801577/4503599627370496 binary64)) x (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))))
(if (<=.f64 x #s(literal -3512807709348987/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))) (if (<=.f64 x #s(literal 3422735716801577/4503599627370496 binary64)) x (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))))
(if (<=.f64 x #s(literal -8106479329266893/9007199254740992 binary64)) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)) (if (<=.f64 x #s(literal 3422735716801577/4503599627370496 binary64)) x (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))))
(if (<=.f64 x #s(literal -3602879701896397/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) (if (<=.f64 x #s(literal 3422735716801577/4503599627370496 binary64)) x (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))))
(if (<=.f64 x #s(literal -3602879701896397/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x)))))) (if (<=.f64 x #s(literal 3602879701896397/4503599627370496 binary64)) x (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -1080863910568919/1125899906842624 binary64)) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)) (if (<=.f64 x #s(literal 3602879701896397/4503599627370496 binary64)) x (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 3602879701896397/4503599627370496 binary64)) x (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 5/4 binary64)) x (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal 5/4 binary64)) x (log.f64 (+.f64 x x)))
x

soundness1.4s (12.6%)

Rules

4826×	`+-lowering-+.f64`
4826×	`+-lowering-+.f32`
3480×	`+-lowering-+.f64`
3480×	`+-lowering-+.f32`
3358×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	122	434
1	355	396
2	1102	379
3	3807	356
0	8425	356
0	310	2309
1	896	2188
2	3031	2142
0	8272	2142
0	24	111
1	155	81
0	1983	81
0	8	14
1	40	14
2	323	14
3	3596	14
0	8355	14
0	7	8
1	12	6
2	13	6
3	14	6
0	14	6
0	217	1497
1	635	1359
2	2036	1332
3	7279	1332
0	8245	1332

Stop Event

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

Compiler

Compiled 672 to 359 computations (46.6% saved)

preprocess91.0ms (0.8%)

Compiler: Compiled 588 to 196 computations (66.7% saved)

Iter	Nodes	Cost
0	14	27
1	32	19
2	62	19
3	110	19
4	248	19
5	451	19
6	657	19
7	795	19
8	826	19
0	7	8
1	12	6
2	13	6
3	14	6
0	14	6

Iter	Nodes	Cost
0	14	27
1	32	19
2	62	19
3	110	19
4	248	19
5	451	19
6	657	19
7	795	19
8	826	19
0	7	8
1	12	6
2	13	6
3	14	6
0	14	6

analyze115.0ms (1.1%)

sample2.3s (21.2%)

preprocess30.0ms (0.3%)

explain204.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize138.0ms (1.3%)

series4.0ms (0%)

rewrite288.0ms (2.7%)

simplify204.0ms (1.9%)

eval24.0ms (0.2%)

prune30.0ms (0.3%)

simplify154.0ms (1.4%)

localize228.0ms (2.1%)

series67.0ms (0.6%)

rewrite125.0ms (1.2%)

simplify237.0ms (2.2%)

eval77.0ms (0.7%)

prune108.0ms (1%)

simplify220.0ms (2%)

localize261.0ms (2.4%)

series81.0ms (0.8%)

rewrite516.0ms (4.8%)

simplify416.0ms (3.8%)

eval160.0ms (1.5%)

prune146.0ms (1.3%)

simplify264.0ms (2.4%)

localize424.0ms (3.9%)

series15.0ms (0.1%)

rewrite722.0ms (6.7%)

simplify402.0ms (3.7%)

eval743.0ms (6.9%)

prune234.0ms (2.2%)

regimes24.0ms (0.2%)

regimes8.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch42.0ms (0.4%)

bsearch37.0ms (0.3%)

bsearch43.0ms (0.4%)

bsearch38.0ms (0.4%)

bsearch41.0ms (0.4%)

bsearch48.0ms (0.4%)

bsearch39.0ms (0.4%)

bsearch37.0ms (0.3%)

bsearch21.0ms (0.2%)

simplify12.0ms (0.1%)

soundness1.4s (12.6%)

preprocess91.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	27
1	32	19
2	62	19
3	110	19
4	248	19
5	451	19
6	657	19
7	795	19
8	826	19
0	7	8
1	12	6
2	13	6
3	14	6
0	14	6