Metrics for Hyperbolic arcsine

analyze118.0ms (1.2%)

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: 53.0ms

ival-mult: 24.0ms (45.5% of total)

ival-add: 10.0ms (18.9% of total)

ival-log: 9.0ms (17% of total)

ival-sqrt: 8.0ms (15.2% of total)

const: 1.0ms (1.9% of total)

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

sample2.9s (28.3%)

Results

1.1s	3401×	1	valid
1.0s	2680×	2	valid
380.0ms	2175×	0	valid

Precisions

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

ival-log: 802.0ms (50.8% of total)

ival-add: 266.0ms (16.8% of total)

ival-sqrt: 176.0ms (11.1% of total)

ival-mult: 175.0ms (11.1% of total)

backward-pass: 142.0ms (9% of total)

const: 18.0ms (1.1% of total)

Bogosity

preprocess26.0ms (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	34	19
2	64	19
3	114	19
4	252	19
5	455	19
6	661	19
7	799	19
8	830	19
0	7	8
1	13	6
2	14	6
3	15	6
0	15	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)))

explain195.0ms (1.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
118	-	-	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
71	-	-	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
68	-	-	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
0	-	-	`x`
0	-	-	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`
0	-	-	`(*.f64 x x)`
0	-	-	`#s(literal 1 binary64)`

Results

62.0ms	150×	2	valid
50.0ms	226×	1	valid
11.0ms	136×	0	valid

Compiler

Compiled 80 to 23 computations (71.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-log: 41.0ms (46.7% of total)

ival-mult: 13.0ms (14.8% of total)

backward-pass: 12.0ms (13.7% of total)

ival-add: 11.0ms (12.5% of total)

ival-sqrt: 9.0ms (10.2% 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
▶	30.1%	(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	14	16
2	15	16
0	15	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)

localize154.0ms (1.5%)

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	99.9%	(+.f64 x (hypot.f64 #s(literal 1 binary64) x))

Results

133.0ms	188×	5	exit
6.0ms	68×	0	valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-add: 33.0ms (29% of total)

ival-log: 32.0ms (28.1% of total)

compiled-spec: 20.0ms (17.6% of total)

backward-pass: 16.0ms (14.1% of total)

ival-mult: 8.0ms (7% of total)

ival-sqrt: 4.0ms (3.5% 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))))

rewrite318.0ms (3.1%)

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	41	14
2	326	14
3	3609	14
0	8485	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 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.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 x) (.f64 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)))))
(-.f64 (log.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))) #s(literal 1 binary64))) (log.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.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 x) (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 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 (.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))))) #s(literal 1 binary64))) (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 x) (+.f64 #s(literal 1 binary64) (*.f64 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 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.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 x) (.f64 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)))

simplify251.0ms (2.5%)

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	365
2	1103	351
3	3812	333
0	8439	333

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

eval46.0ms (0.5%)

Compiler: Compiled 5033 to 657 computations (86.9% saved)

prune80.0ms (0.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	163	12	175
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	163	13	176

Accuracy

100.0%

Counts

176 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.5%	(/.f64 (-.f64 (.f64 (log.f64 (+.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 (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))))) (.f64 (log1p.f64 (+.f64 (.f64 x x) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log1p.f64 (+.f64 (.f64 x x) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))) (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 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))))
	6.9%	(-.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 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.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 x) (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))))))))
▶	46.8%	(.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))))))))
	48.3%	(.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)))))))
▶	46.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
	27.9%	(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
	28.5%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
▶	28.0%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
▶	27.0%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
✓	30.1%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
	1.8%	(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
	26.3%	(log.f64 (+.f64 x x))
▶	49.2%	x

Compiler

Compiled 569 to 251 computations (55.9% saved)

simplify87.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
✓	cost-diff	(/.f64 #s(literal -1/2 binary64) x)
✓	cost-diff	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))
✓	cost-diff	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
✓	cost-diff	(*.f64 x #s(literal -1/6 binary64))
✓	cost-diff	(.f64 x (.f64 x #s(literal -1/6 binary64)))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
✓	cost-diff	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))

Rules

2276×	`fma-define`
1760×	`fma-lowering-fma.f32`
1760×	`fma-lowering-fma.f64`
622×	`-lowering-.f32`
622×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	141
1	72	127
2	214	125
3	645	125
4	1443	125
5	2216	125
6	2549	125
7	2559	125
8	2559	125
9	2564	125
0	2564	125

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize112.0ms (1.1%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	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 #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	accuracy	100.0%	(.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal -5/112 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal -1/6 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal -1/6 binary64))

Results

81.0ms

256×

invalid

Compiler

Compiled 164 to 27 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 21.0ms (41.9% of total)

...c/correct-round.rkt:119:19: 11.0ms (21.9% of total)

ival-div: 6.0ms (12% of total)

ival-add: 6.0ms (12% of total)

ival-log: 5.0ms (10% of total)

const: 1.0ms (2% of total)

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

series67.0ms (0.7%)

Counts

15 → 180

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (* -5/112 (pow x 7))>
#<alt (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* -5/112 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (+ (log -1/2) (* -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 1/2) (* -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 (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>

Calls

45 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	(log (/ -1/2 x))
19.0ms	x	@	-inf	(log (/ -1/2 x))
8.0ms	x	@	inf	(log (/ -1/2 x))
4.0ms	x	@	0	(* x -1/6)
1.0ms	x	@	0	(* x (+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))))))

rewrite294.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2796×	`-lowering-.f32`
2796×	`-lowering-.f64`
2670×	`/-lowering-/.f32`
2670×	`/-lowering-/.f64`
2306×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	101
1	151	91
2	1394	89
0	8290	89

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 409

Calls

Call 1

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

Outputs
(+.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(+.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))))) (/.f64 (.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (-.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))))))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)) x)
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x) x)
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) x x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal -1/216 binary64) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (*.f64 x x)))) x)))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal -1/216 binary64) (.f64 x (.f64 x x))))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))))) (-.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))) x) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal -1/216 binary64) (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)))))) (neg.f64 (-.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))) x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal -1/216 binary64) (.f64 x (.f64 x x)))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))) x)
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 #s(literal -1/216 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))))))))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 x (.f64 #s(literal -1/6 binary64) (.f64 x x))))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1 binary64))))))
(.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1 binary64))))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (neg.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64))))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/6 binary64))) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(/.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 x x)) (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal -1 binary64)))))))
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(.f64 (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64)))))
(.f64 (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) #s(literal -1 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x)))))
(.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 x #s(literal -1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -1/2 binary64)))
(neg.f64 (/.f64 x #s(literal -1/2 binary64)))
(/.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(/.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64))
(/.f64 (/.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) x))
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/2 binary64)))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (/.f64 x #s(literal -1/2 binary64)))
(pow.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(.f64 x (.f64 x #s(literal -5/112 binary64)))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(.f64 #s(literal -5/112 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -5/112 binary64)) x)

simplify220.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

3068×	`+-lowering-+.f64`
3068×	`+-lowering-+.f32`
2694×	`-lowering-.f32`
2694×	`-lowering-.f64`
1914×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	134	1272
1	350	1091
2	1086	1059
3	3779	1043
0	8234	1043

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(* -5/112 (pow x 7))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 7))
(* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(+ (log -1/2) (* -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 1/2) (* -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)
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))

Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* -1/6 (pow x 3))
(.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(+ 1 (* -1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(+ 1 (* -1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
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 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
(* -5/112 (pow x 7))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (.f64 x x))))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) (-.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 5/112 binary64) (/.f64 #s(literal -3/40 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* -5/112 (pow x 7))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) (-.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 5/112 binary64) (/.f64 #s(literal -3/40 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))
(* -5/112 (pow x 6))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) (-.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) (-.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))))
(* -5/112 (pow x 6))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) (-.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(+.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) (-.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64))))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64)))))
(* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))
(.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))
(* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))
(.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))
(* -5/112 (pow x 6))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) (-.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) (-.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* -5/112 (pow x 6))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) (-.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) (-.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))) (pow.f64 x #s(literal 6 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(+ (log -1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 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)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(+ (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 (log.f64 x) (.f64 #s(literal -4 binary64) (.f64 x x))))
(+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* -8 (pow x 2))))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -8 binary64)))) (log.f64 x)))
(+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 64/3 (pow x 2)) 8))))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -8 binary64) (.f64 (.f64 x x) #s(literal 64/3 binary64)))))) (log.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 (log.f64 x) (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -1/32 binary64) (.f64 x (.f64 x (.f64 x x))))) (log.f64 #s(literal 2 binary64))))
(- (+ (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 (log.f64 x) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x 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))))))))
(+ (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 (/.f64 #s(literal 1/4 binary64) (*.f64 x 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))))) (/ 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 (/.f64 #s(literal 1/192 binary64) (pow.f64 x #s(literal 6 binary64))) (+.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)))))))
(/ 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 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)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(* 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)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(/ 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)
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* -5/112 (pow x 2))
(.f64 (.f64 x x) #s(literal -5/112 binary64))

eval71.0ms (0.7%)

Compiler: Compiled 16898 to 1529 computations (91% saved)

prune66.0ms (0.6%)

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	631	2	633
Fresh	0	7	7
Picked	0	5	5
Done	0	1	1
Total	631	15	646

Accuracy

100.0%

Counts

646 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.5%	(/.f64 (-.f64 (.f64 (log.f64 (+.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 (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))))) (.f64 (log1p.f64 (+.f64 (.f64 x x) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log1p.f64 (+.f64 (.f64 x x) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))) (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 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))))
	16.5%	(/.f64 (+.f64 (.f64 (.f64 (.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))))))) (.f64 x (.f64 (.f64 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))))))) (.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)))))))))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 (+.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)))))) (.f64 x (.f64 x x))) (.f64 (+.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)))))) (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) (.f64 (.f64 (+.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)))))) (.f64 x (*.f64 x x))) x))))
▶	6.9%	(-.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 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.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 x) (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))))))))
▶	46.5%	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 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))))))) (.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)))))))))) (-.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))))))))))
✓	46.8%	(.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))))))))
▶	48.3%	(.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)))))))
✓	46.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
▶	27.9%	(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
	28.5%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
✓	28.0%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	27.0%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
✓	30.1%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
▶	1.8%	(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
	26.3%	(log.f64 (+.f64 x x))
✓	49.2%	x

Compiler

Compiled 905 to 305 computations (66.3% saved)

simplify251.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	384	(+.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.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 x) (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))))))
✓	cost-diff	512	(.f64 (+.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 x (.f64 x (.f64 x x)))) (-.f64 (.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 x) (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))))))
✓	cost-diff	512	(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 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.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 x) (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))))))
✓	cost-diff	512	(-.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 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.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 x) (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))))))))
✓	cost-diff	0	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x))))))
✓	cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)
✓	cost-diff	0	(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
✓	cost-diff	0	(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
✓	cost-diff	256	(+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
✓	cost-diff	256	(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
✓	cost-diff	0	(.f64 x (.f64 (.f64 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))))))) (.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)))))))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 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))))))) (.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))))))))))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 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))))))) (.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)))))))))) (-.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)))))))))
✓	cost-diff	0	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 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))))))) (.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)))))))))) (-.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))))))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64))))
✓	cost-diff	0	(.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64)))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))

Rules

5504×	`+-lowering-+.f64`
5504×	`+-lowering-+.f32`
3976×	`-lowering-.f32`
3976×	`-lowering-.f64`
1744×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	761
1	210	608
2	770	584
3	3899	574
0	9076	574

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* x (+ 1 (* x (* x (+ -1/6 (* (* x x) 3/40))))))
x
(+ 1 (* x (* x (+ -1/6 (* (* x x) 3/40)))))
1
(* x (* x (+ -1/6 (* (* x x) 3/40))))
(* x (+ -1/6 (* (* x x) 3/40)))
(+ -1/6 (* (* x x) 3/40))
-1/6
(* (* x x) 3/40)
(* x x)
3/40
(* x (/ (- 1 (* x (* (* x (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))) (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))))) (- 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))))))
x
(/ (- 1 (* x (* (* x (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))) (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))))) (- 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))))
(- 1 (* x (* (* x (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))) (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))))))
1
(* x (* (* x (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))) (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))))
(* (* x (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))) (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))))
(* x (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))
(+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))
-1/6
(* (* x x) (+ 3/40 (* x (* x -5/112))))
(* x x)
(+ 3/40 (* x (* x -5/112)))
3/40
(* x (* x -5/112))
(* x -5/112)
-5/112
(* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))
(- 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))))
(log (+ x (- (/ -1/2 x) x)))
(+ x (- (/ -1/2 x) x))
x
(- (/ -1/2 x) x)
(/ -1/2 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))
1/8
(* x x)
x
(+ -1/2 (/ -1/16 (* x (* x (* x x)))))
-1/2
(/ -1/16 (* x (* x (* x x))))
-1/16
(* x (* x (* x x)))
(* x (* x x))
(- (log (+ (* (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (pow (+ 1 (* x x)) 9/2))) (log (* (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* x x) (* x (* x (* x x)))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))))))))
(log (+ (* (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (pow (+ 1 (* x x)) 9/2)))
(+ (* (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (pow (+ 1 (* x x)) 9/2))
(* (* (* x x) (* x (* x (* x x)))) (* x (* x x)))
(* (* x x) (* x (* x (* x x))))
(* x x)
x
(* x (* x (* x x)))
(* x (* x x))
(pow (+ 1 (* x x)) 9/2)
(+ 1 (* x x))
1
9/2
(log (* (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* x x) (* x (* x (* x x)))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (* (* x x) (* x (pow (+ 1 (* x x)) 3/2)))))))
(* (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* x x) (* x (* x (* x x)))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))))))
(+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x)))))))
(+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))
(* x (- x (sqrt (+ (* 1 1) (* x x)))))
(- x (sqrt (+ (* 1 1) (* x x))))
(sqrt (+ (* 1 1) (* x x)))
(+ (* (* x x) (* x (* x (* x x)))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (* (* x x) (* x (pow (+ 1 (* x x)) 3/2)))))
(- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))))
(* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x))))
(* (+ 1 (* x x)) (+ 1 (* x x)))
(* (* x x) (* x (pow (+ 1 (* x x)) 3/2)))
(* x (pow (+ 1 (* x x)) 3/2))
(pow (+ 1 (* x x)) 3/2)
3/2

Outputs
(* x (+ 1 (* x (* x (+ -1/6 (* (* x x) 3/40))))))
(.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 (* x (* x (+ -1/6 (* (* x x) 3/40)))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64)))))
1
#s(literal 1 binary64)
(* x (* x (+ -1/6 (* (* x x) 3/40))))
(.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64))))
(* x (+ -1/6 (* (* x x) 3/40)))
(.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64))))
(+ -1/6 (* (* x x) 3/40))
(+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64)))
-1/6
#s(literal -1/6 binary64)
(* (* x x) 3/40)
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* x x)
(*.f64 x x)
3/40
#s(literal 3/40 binary64)
(* x (/ (- 1 (* x (* (* x (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))) (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))))) (- 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (-.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)))))) (.f64 (.f64 x x) (.f64 x (.f64 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)))))))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64))))))))))
x
(/ (- 1 (* x (* (* x (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))) (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))))) (- 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (-.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)))))) (.f64 (.f64 x x) (.f64 x (.f64 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))))))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x #s(literal -5/112 binary64))))))))))
(- 1 (* x (* (* x (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))) (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))))))
(+.f64 #s(literal 1 binary64) (.f64 (-.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)))))) (.f64 (.f64 x x) (.f64 x (.f64 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)))))))))))
1
#s(literal 1 binary64)
(* x (* (* x (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))) (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))))
(.f64 x (.f64 x (.f64 (+.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)))))) (.f64 x (.f64 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)))))))))))
(* (* x (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))) (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))))
(.f64 x (.f64 (+.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)))))) (.f64 x (.f64 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))))))))))
(* x (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))
(.f64 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)))))))
(+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))
(+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64))))))
-1/6
#s(literal -1/6 binary64)
(* (* x x) (+ 3/40 (* x (* x -5/112))))
(.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64)))))
(* x x)
(*.f64 x x)
(+ 3/40 (* x (* x -5/112)))
(+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64))))
3/40
#s(literal 3/40 binary64)
(* x (* x -5/112))
(.f64 x (.f64 x #s(literal -5/112 binary64)))
(* x -5/112)
(*.f64 x #s(literal -5/112 binary64))
-5/112
#s(literal -5/112 binary64)
(* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))
(.f64 x (.f64 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))))))))
(- 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))))
(-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64)))))))))
(log (+ x (- (/ -1/2 x) x)))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(+ x (- (/ -1/2 x) x))
(/.f64 #s(literal -1/2 binary64) x)
x
(- (/ -1/2 x) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 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 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
(/ (+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x)))))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)
(+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x))))))
(/ 1/8 (* x x))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
1/8
#s(literal 1/8 binary64)
(* x x)
(*.f64 x x)
x
(+ -1/2 (/ -1/16 (* x (* x (* x x)))))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (*.f64 x x)))))
-1/2
#s(literal -1/2 binary64)
(/ -1/16 (* x (* x (* x x))))
(/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 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))
(- (log (+ (* (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (pow (+ 1 (* x x)) 9/2))) (log (* (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* x x) (* x (* x (* x x)))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))))))))
(-.f64 (log.f64 (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 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 #s(literal 1 binary64) (.f64 x (+.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (.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)) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))))))))
(log (+ (* (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (pow (+ 1 (* x x)) 9/2)))
(log.f64 (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 9/2 binary64))))
(+ (* (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (pow (+ 1 (* x x)) 9/2))
(+.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 9/2 binary64)))
(* (* (* x x) (* x (* x (* x x)))) (* x (* x x)))
(.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))
(* (* x x) (* x (* x (* x x))))
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* x x)
(*.f64 x x)
x
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(pow (+ 1 (* x x)) 9/2)
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 9/2 binary64))
(+ 1 (* x x))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
9/2
#s(literal 9/2 binary64)
(log (* (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* x x) (* x (* x (* x x)))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (* (* x x) (* x (pow (+ 1 (* x x)) 3/2)))))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (.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)) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))))))
(* (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* x x) (* x (* x (* x x)))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (+.f64 (.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)) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))))
(+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(* x (- x (sqrt (+ (* 1 1) (* x x)))))
(*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(- 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)
(+ (* (* x x) (* x (* x (* x x)))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (* (* x x) (* x (pow (+ 1 (* x x)) 3/2)))))
(+.f64 (.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)) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64)))))
(- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))))
(-.f64 (.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))))
(* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* 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))))
(* (+ 1 (* x x)) (+ 1 (* x x)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(* (* x x) (* x (pow (+ 1 (* x x)) 3/2)))
(.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))
(* x (pow (+ 1 (* x x)) 3/2))
(.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))
(pow (+ 1 (* x x)) 3/2)
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))
3/2
#s(literal 3/2 binary64)

localize582.0ms (5.7%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(-.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 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.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 x) (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))))))))
✓	accuracy	77.6%	(+.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)))
✓	accuracy	63.4%	(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))))
✓	accuracy	56.1%	(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 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.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 x) (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3/2 binary64))))))))
✓	accuracy	99.7%	(/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	99.1%	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓	accuracy	93.0%	(+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x))))))
✓	accuracy	83.3%	(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
✓	accuracy	100.0%	(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
✓	accuracy	74.0%	(+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
✓	accuracy	99.9%	(.f64 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)))))))
✓	accuracy	99.9%	(.f64 x (.f64 x #s(literal -5/112 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64)))))))
✓	accuracy	74.4%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 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))))))) (.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)))))))))) (-.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)))))))))
✓	accuracy	100.0%	(.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)))))))
✓	accuracy	99.9%	(.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64)))))
✓	accuracy	99.9%	(.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64))))
✓	accuracy	99.9%	(.f64 (.f64 x x) #s(literal 3/40 binary64))

Results

326.0ms	125×	1	valid
91.0ms	129×	0	invalid
1.0ms	2×	0	valid

Compiler

Compiled 991 to 64 computations (93.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 328.0ms

ival-pow: 125.0ms (38.1% of total)

ival-mult: 66.0ms (20.1% of total)

ival-log: 32.0ms (9.8% of total)

ival-add: 24.0ms (7.3% of total)

...c/correct-round.rkt:119:19: 18.0ms (5.5% of total)

backward-pass: 18.0ms (5.5% of total)

ival-div: 14.0ms (4.3% of total)

ival-sub: 14.0ms (4.3% of total)

compiled-spec: 14.0ms (4.3% of total)

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

const: 2.0ms (0.6% of total)

series32.0ms (0.3%)

Counts

27 → 324

Calls

Call 1

Inputs
#<alt (* x (+ 1 (* x (* x (+ -1/6 (* (* x x) 3/40))))))>
#<alt (+ 1 (* x (* x (+ -1/6 (* (* x x) 3/40)))))>
#<alt (* x (* x (+ -1/6 (* (* x x) 3/40))))>
#<alt (* x (+ -1/6 (* (* x x) 3/40)))>
#<alt (* x (/ (- 1 (* x (* (* x (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))) (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))))) (- 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))))))>
#<alt (/ (- 1 (* x (* (* x (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))) (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))))) (- 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))))>
#<alt (- 1 (* x (* (* x (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))) (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))))))>
#<alt (* x (* (* x (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))) (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))))>
#<alt (log (+ x (- (/ -1/2 x) x)))>
#<alt (+ x (- (/ -1/2 x) x))>
#<alt (- (/ -1/2 x) x)>
#<alt (/ -1/2 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 (/ 1/8 (* x x))>
#<alt (- (log (+ (* (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (pow (+ 1 (* x x)) 9/2))) (log (* (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* x x) (* x (* x (* x x)))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))))))))>
#<alt (log (* (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* x x) (* x (* x (* x x)))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (* (* x x) (* x (pow (+ 1 (* x x)) 3/2)))))))>
#<alt (* (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* x x) (* x (* x (* x x)))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))))))>
#<alt (+ (* (* x x) (* x (* x (* x x)))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (* (* x x) (* x (pow (+ 1 (* x x)) 3/2)))))>
#<alt (* (* x x) 3/40)>
#<alt (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))>
#<alt (* x (* x -5/112))>
#<alt (* x (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))>
#<alt (/ -1/16 (* x (* x (* x x))))>
#<alt (log (+ (* (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (pow (+ 1 (* x x)) 9/2)))>
#<alt (+ (* (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (pow (+ 1 (* x x)) 9/2))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))>
#<alt (* 3/40 (pow x 4))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 4))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* 3/40 (pow x 4))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 4))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* 3/40 (pow x 3))>
#<alt (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* 3/40 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (* -5/112 (pow x 7))>
#<alt (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* -5/112 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* -1/36 (pow x 4)))>
#<alt (+ 1 (* (pow x 4) (- (* 1/40 (pow x 2)) 1/36)))>
#<alt (+ 1 (* (pow x 4) (- (* (pow x 2) (+ 1/40 (* -689/33600 (pow x 2)))) 1/36)))>
#<alt (* -25/12544 (pow x 12))>
#<alt (* (pow x 12) (- (* 3/448 (/ 1 (pow x 2))) 25/12544))>
#<alt (* (pow x 12) (- (* 3/448 (/ 1 (pow x 2))) (+ 25/12544 (/ 689/33600 (pow x 4)))))>
#<alt (* (pow x 12) (- (+ (* 3/448 (/ 1 (pow x 2))) (* 1/40 (/ 1 (pow x 6)))) (+ 25/12544 (/ 689/33600 (pow x 4)))))>
#<alt (* -25/12544 (pow x 12))>
#<alt (* (pow x 12) (- (* 3/448 (/ 1 (pow x 2))) 25/12544))>
#<alt (* (pow x 12) (- (* 3/448 (/ 1 (pow x 2))) (+ 25/12544 (/ 689/33600 (pow x 4)))))>
#<alt (* (pow x 12) (- (+ (* 3/448 (/ 1 (pow x 2))) (* 1/40 (/ 1 (pow x 6)))) (+ 25/12544 (/ 689/33600 (pow x 4)))))>
#<alt (* 1/36 (pow x 4))>
#<alt (* (pow x 4) (+ 1/36 (* -1/40 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/36 (* (pow x 2) (- (* 689/33600 (pow x 2)) 1/40))))>
#<alt (* (pow x 4) (+ 1/36 (* (pow x 2) (- (* (pow x 2) (+ 689/33600 (* -3/448 (pow x 2)))) 1/40))))>
#<alt (* 25/12544 (pow x 12))>
#<alt (* (pow x 12) (- 25/12544 (* 3/448 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (* 3/448 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (+ (* 3/448 (/ 1 (pow x 2))) (* 1/40 (/ 1 (pow x 6))))))>
#<alt (* 25/12544 (pow x 12))>
#<alt (* (pow x 12) (- 25/12544 (* 3/448 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (* 3/448 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (+ (* 3/448 (/ 1 (pow x 2))) (* 1/40 (/ 1 (pow x 6))))))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ (- (* -1 (pow x 2)) 1/2) x)>
#<alt (/ (- (* -1 (pow x 2)) 1/2) x)>
#<alt (/ (- (* -1 (pow x 2)) 1/2) x)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<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 -1/16) (* -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 (/ 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 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) (* -9 (log (/ 1 x)))) (* -8 (log (/ 1 x))))>
#<alt (- (+ (log 2) (+ (* -9 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (* -8 (log (/ 1 x))))>
#<alt (- (+ (log 2) (+ (* -9 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (* -8 (log (/ 1 x))) (/ 3/32 (pow x 4))))>
#<alt (- (+ (log 2) (+ (* -9 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (+ (* -8 (log (/ 1 x))) (/ 3/32 (pow x 4))))>
#<alt (- (+ (log 9/2) (* -7 (log (/ -1 x)))) (+ (log 9) (* -8 (log (/ -1 x)))))>
#<alt (- (+ (log 9/2) (* -7 (log (/ -1 x)))) (+ (log 9) (+ (* -8 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (+ (log 9/2) (+ (* -7 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 9) (+ (* -8 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (+ (log 9/2) (+ (* -7 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 9) (+ (* -8 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))>
#<alt (* -1 x)>
#<alt (* x (- (* 9/2 x) 1))>
#<alt (* x (- (* x (+ 9/2 (* 1/6 x))) 1))>
#<alt (* x (- (* x (+ 9/2 (* x (+ 1/6 (* -9/4 x))))) 1))>
#<alt (* -8 (log (/ 1 x)))>
#<alt (+ (* -8 (log (/ 1 x))) (* 2 (/ 1 (pow x 2))))>
#<alt (+ (* -8 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 3/2 (pow x 4))))>
#<alt (- (+ (* -8 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 3/2 (pow x 4)))) (* 11/6 (/ 1 (pow x 6))))>
#<alt (+ (log 9) (* -8 (log (/ -1 x))))>
#<alt (+ (log 9) (+ (* -8 (log (/ -1 x))) (* 2 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 9) (+ (* -8 (log (/ -1 x))) (* 2 (/ 1 (pow x 2))))) (/ 1/6 (pow x 4)))>
#<alt (+ (log 9) (+ (* -8 (log (/ -1 x))) (+ (* -1 (/ (+ 1/6 (* 1/6 (/ 1 (pow x 2)))) (pow x 4))) (* 2 (/ 1 (pow x 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 5 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 5 (* -9/2 x))) 1)))>
#<alt (pow x 8)>
#<alt (* (pow x 8) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 7/2 (pow x 4)))))>
#<alt (* (pow x 8) (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 5/2 (/ 1 (pow x 6))) (/ 7/2 (pow x 4))))))>
#<alt (* 9 (pow x 8))>
#<alt (* (pow x 8) (+ 9 (* 18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 9 (+ (* 18 (/ 1 (pow x 2))) (/ 33/2 (pow x 4)))))>
#<alt (* (pow x 8) (+ 9 (+ (* 18 (/ 1 (pow x 2))) (+ (* 15/2 (/ 1 (pow x 6))) (/ 33/2 (pow x 4))))))>
#<alt 1>
#<alt (+ 1 (* 3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 3 (* -1 x))))>
#<alt (+ 1 (* (pow x 2) (+ 3 (* x (- (* 3 x) 1)))))>
#<alt (pow x 6)>
#<alt (* (pow x 6) (+ 1 (* 3/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1 (+ (* 3/2 (/ 1 (pow x 2))) (/ 21/8 (pow x 4)))))>
#<alt (* (pow x 6) (+ 1 (+ (* 3/2 (/ 1 (pow x 2))) (+ (* 17/16 (/ 1 (pow x 6))) (/ 21/8 (pow x 4))))))>
#<alt (* 3 (pow x 6))>
#<alt (* (pow x 6) (+ 3 (* 9/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 3 (+ (* 9/2 (/ 1 (pow x 2))) (/ 27/8 (pow x 4)))))>
#<alt (* (pow x 6) (+ 3 (+ (* 9/2 (/ 1 (pow x 2))) (+ (* 15/16 (/ 1 (pow x 6))) (/ 27/8 (pow x 4))))))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -5/112 (pow x 2))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))>
#<alt (* x (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))>
#<alt (* -5/112 (pow x 5))>
#<alt (* (pow x 5) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 5) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 5) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* -5/112 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))>
#<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 (* 9/2 (pow x 2))>
#<alt (* (pow x 2) (+ 9/2 (* -9/4 (pow x 2))))>
#<alt (* (pow x 2) (+ 9/2 (* (pow x 2) (- (* 3/2 (pow x 2)) 9/4))))>
#<alt (* (pow x 2) (+ 9/2 (* (pow x 2) (- (* (pow x 2) (+ 3/2 (* -9/8 (pow x 2)))) 9/4))))>
#<alt (+ (log 2) (* -9 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -9 (log (/ 1 x))) (* 9/4 (/ 1 (pow x 2)))))>
#<alt (+ (log 2) (+ (* -9 (log (/ 1 x))) (+ (* 9/4 (/ 1 (pow x 2))) (/ 45/32 (pow x 4)))))>
#<alt (- (+ (log 2) (+ (* -9 (log (/ 1 x))) (+ (* 9/4 (/ 1 (pow x 2))) (/ 45/32 (pow x 4))))) (* 57/32 (/ 1 (pow x 6))))>
#<alt (+ (log 9/2) (* -7 (log (/ -1 x))))>
#<alt (+ (log 9/2) (+ (* -7 (log (/ -1 x))) (* 7/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 9/2) (+ (* -7 (log (/ -1 x))) (* 7/4 (/ 1 (pow x 2))))) (/ 7/96 (pow x 4)))>
#<alt (+ (log 9/2) (+ (* -7 (log (/ -1 x))) (+ (* -1 (/ (+ 7/96 (* 7/32 (/ 1 (pow x 2)))) (pow x 4))) (* 7/4 (/ 1 (pow x 2))))))>
#<alt 1>
#<alt (+ 1 (* 9/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 9/2 (* 63/8 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 9/2 (* (pow x 2) (+ 63/8 (* 105/16 (pow x 2)))))))>
#<alt (* 2 (pow x 9))>
#<alt (* (pow x 9) (+ 2 (* 9/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 9) (+ 2 (+ (* 9/2 (/ 1 (pow x 2))) (/ 63/8 (pow x 4)))))>
#<alt (* (pow x 9) (+ 2 (+ (* 9/2 (/ 1 (pow x 2))) (+ (* 105/16 (/ 1 (pow x 6))) (/ 63/8 (pow x 4))))))>
#<alt (* -9/2 (pow x 7))>
#<alt (* -1 (* (pow x 7) (+ 9/2 (* 63/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (+ 9/2 (+ (* 63/8 (/ 1 (pow x 2))) (/ 105/16 (pow x 4))))))>
#<alt (* -1 (* (pow x 7) (+ 9/2 (+ (* 63/8 (/ 1 (pow x 2))) (+ (* 315/128 (/ 1 (pow x 6))) (/ 105/16 (pow x 4)))))))>

Calls

81 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	(log (+ x (- (/ -1/2 x) x)))
2.0ms	x	@	0	(- (log (+ (* (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (pow (+ 1 (* x x)) 9/2))) (log (* (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* x x) (* x (* x (* x x)))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))))))))
1.0ms	x	@	-inf	(- (log (+ (* (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (pow (+ 1 (* x x)) 9/2))) (log (* (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* x x) (* x (* x (* x x)))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))))))))
1.0ms	x	@	inf	(- (log (+ (* (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (pow (+ 1 (* x x)) 9/2))) (log (* (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* x x) (* x (* x (* x x)))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))))))))
1.0ms	x	@	0	(log (/ (+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x)))))) x))

rewrite314.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2922×	`-lowering-.f32`
2922×	`-lowering-.f64`
1812×	`/-lowering-/.f32`
1812×	`/-lowering-/.f64`
1808×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	509
1	481	350
2	5021	346
0	8118	346

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 432

Calls

Call 1

Inputs
(* x (+ 1 (* x (* x (+ -1/6 (* (* x x) 3/40))))))
(+ 1 (* x (* x (+ -1/6 (* (* x x) 3/40)))))
(* x (* x (+ -1/6 (* (* x x) 3/40))))
(* x (+ -1/6 (* (* x x) 3/40)))
(* x (/ (- 1 (* x (* (* x (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))) (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))))) (- 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))))))
(/ (- 1 (* x (* (* x (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))) (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))))) (- 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))))
(- 1 (* x (* (* x (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))) (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))))))
(* x (* (* x (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))) (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))))
(log (+ x (- (/ -1/2 x) x)))
(+ x (- (/ -1/2 x) x))
(- (/ -1/2 x) x)
(/ -1/2 x)
(log (/ (+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x)))))) x))
(/ (+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x)))))) x)
(+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x))))))
(/ 1/8 (* x x))
(- (log (+ (* (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (pow (+ 1 (* x x)) 9/2))) (log (* (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* x x) (* x (* x (* x x)))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))))))))
(log (* (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* x x) (* x (* x (* x x)))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (* (* x x) (* x (pow (+ 1 (* x x)) 3/2)))))))
(* (+ (* x x) (+ 1 (* x (- x (sqrt (+ (* 1 1) (* x x))))))) (+ (* (* x x) (* x (* x (* x x)))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))))))
(+ (* (* x x) (* x (* x (* x x)))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (* (* x x) (* x (pow (+ 1 (* x x)) 3/2)))))
(* (* x x) 3/40)
(* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))
(* x (* x -5/112))
(* x (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))
(/ -1/16 (* x (* x (* x x))))
(log (+ (* (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (pow (+ 1 (* x x)) 9/2)))
(+ (* (* (* x x) (* x (* x (* x x)))) (* x (* x x))) (pow (+ 1 (* x x)) 9/2))

Outputs
(+.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64))))) x)
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64)))))) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64))))))) (-.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64)))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64)))) #s(literal 1 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64)))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64)))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64)))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64)))) #s(literal 1 binary64)))))
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(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (.f64 (.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 (+.f64 #s(literal 1 binary64) (.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 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))))))) (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 9/2 binary64)))))
(/.f64 (-.f64 (.f64 (.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 (+.f64 #s(literal 1 binary64) (.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 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 9/2 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))
(.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 27/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (-.f64 (.f64 (.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 (+.f64 #s(literal 1 binary64) (.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 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x)))))) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 9/2 binary64)))))))
(.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (.f64 (.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 (+.f64 #s(literal 1 binary64) (.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 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 9/2 binary64)))))

simplify319.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

6284×	`+-lowering-+.f64`
6284×	`+-lowering-+.f32`
3516×	`-lowering-.f32`
3516×	`-lowering-.f64`
1532×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	485	3313
1	1467	2900
2	4633	2853
0	8545	2853

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 4))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* -1/6 x)
(* x (- (* 3/40 (pow x 2)) 1/6))
(* x (- (* 3/40 (pow x 2)) 1/6))
(* x (- (* 3/40 (pow x 2)) 1/6))
(* 3/40 (pow x 3))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(* -5/112 (pow x 7))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 7))
(* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
1
(+ 1 (* -1/36 (pow x 4)))
(+ 1 (* (pow x 4) (- (* 1/40 (pow x 2)) 1/36)))
(+ 1 (* (pow x 4) (- (* (pow x 2) (+ 1/40 (* -689/33600 (pow x 2)))) 1/36)))
(* -25/12544 (pow x 12))
(* (pow x 12) (- (* 3/448 (/ 1 (pow x 2))) 25/12544))
(* (pow x 12) (- (* 3/448 (/ 1 (pow x 2))) (+ 25/12544 (/ 689/33600 (pow x 4)))))
(* (pow x 12) (- (+ (* 3/448 (/ 1 (pow x 2))) (* 1/40 (/ 1 (pow x 6)))) (+ 25/12544 (/ 689/33600 (pow x 4)))))
(* -25/12544 (pow x 12))
(* (pow x 12) (- (* 3/448 (/ 1 (pow x 2))) 25/12544))
(* (pow x 12) (- (* 3/448 (/ 1 (pow x 2))) (+ 25/12544 (/ 689/33600 (pow x 4)))))
(* (pow x 12) (- (+ (* 3/448 (/ 1 (pow x 2))) (* 1/40 (/ 1 (pow x 6)))) (+ 25/12544 (/ 689/33600 (pow x 4)))))
(* 1/36 (pow x 4))
(* (pow x 4) (+ 1/36 (* -1/40 (pow x 2))))
(* (pow x 4) (+ 1/36 (* (pow x 2) (- (* 689/33600 (pow x 2)) 1/40))))
(* (pow x 4) (+ 1/36 (* (pow x 2) (- (* (pow x 2) (+ 689/33600 (* -3/448 (pow x 2)))) 1/40))))
(* 25/12544 (pow x 12))
(* (pow x 12) (- 25/12544 (* 3/448 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (* 3/448 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (+ (* 3/448 (/ 1 (pow x 2))) (* 1/40 (/ 1 (pow x 6))))))
(* 25/12544 (pow x 12))
(* (pow x 12) (- 25/12544 (* 3/448 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (* 3/448 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (+ (* 3/448 (/ 1 (pow x 2))) (* 1/40 (/ 1 (pow x 6))))))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ -1 x)))
(+ (log 1/2) (log (/ -1 x)))
(+ (log 1/2) (log (/ -1 x)))
(+ (log 1/2) (log (/ -1 x)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(/ -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 -1/16) (* -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))))
(/ 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))
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) (* -9 (log (/ 1 x)))) (* -8 (log (/ 1 x))))
(- (+ (log 2) (+ (* -9 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (* -8 (log (/ 1 x))))
(- (+ (log 2) (+ (* -9 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (+ (* -8 (log (/ 1 x))) (/ 3/32 (pow x 4))))
(- (+ (log 2) (+ (* -9 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (+ (* -8 (log (/ 1 x))) (/ 3/32 (pow x 4))))
(- (+ (log 9/2) (* -7 (log (/ -1 x)))) (+ (log 9) (* -8 (log (/ -1 x)))))
(- (+ (log 9/2) (* -7 (log (/ -1 x)))) (+ (log 9) (+ (* -8 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (log 9/2) (+ (* -7 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 9) (+ (* -8 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (log 9/2) (+ (* -7 (log (/ -1 x))) (/ 3/32 (pow x 4)))) (+ (log 9) (+ (* -8 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(* -1 x)
(* x (- (* 9/2 x) 1))
(* x (- (* x (+ 9/2 (* 1/6 x))) 1))
(* x (- (* x (+ 9/2 (* x (+ 1/6 (* -9/4 x))))) 1))
(* -8 (log (/ 1 x)))
(+ (* -8 (log (/ 1 x))) (* 2 (/ 1 (pow x 2))))
(+ (* -8 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 3/2 (pow x 4))))
(- (+ (* -8 (log (/ 1 x))) (+ (* 2 (/ 1 (pow x 2))) (/ 3/2 (pow x 4)))) (* 11/6 (/ 1 (pow x 6))))
(+ (log 9) (* -8 (log (/ -1 x))))
(+ (log 9) (+ (* -8 (log (/ -1 x))) (* 2 (/ 1 (pow x 2)))))
(- (+ (log 9) (+ (* -8 (log (/ -1 x))) (* 2 (/ 1 (pow x 2))))) (/ 1/6 (pow x 4)))
(+ (log 9) (+ (* -8 (log (/ -1 x))) (+ (* -1 (/ (+ 1/6 (* 1/6 (/ 1 (pow x 2)))) (pow x 4))) (* 2 (/ 1 (pow x 2))))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 5 x) 1)))
(+ 1 (* x (- (* x (+ 5 (* -9/2 x))) 1)))
(pow x 8)
(* (pow x 8) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 7/2 (pow x 4)))))
(* (pow x 8) (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 5/2 (/ 1 (pow x 6))) (/ 7/2 (pow x 4))))))
(* 9 (pow x 8))
(* (pow x 8) (+ 9 (* 18 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 9 (+ (* 18 (/ 1 (pow x 2))) (/ 33/2 (pow x 4)))))
(* (pow x 8) (+ 9 (+ (* 18 (/ 1 (pow x 2))) (+ (* 15/2 (/ 1 (pow x 6))) (/ 33/2 (pow x 4))))))
1
(+ 1 (* 3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 3 (* -1 x))))
(+ 1 (* (pow x 2) (+ 3 (* x (- (* 3 x) 1)))))
(pow x 6)
(* (pow x 6) (+ 1 (* 3/2 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1 (+ (* 3/2 (/ 1 (pow x 2))) (/ 21/8 (pow x 4)))))
(* (pow x 6) (+ 1 (+ (* 3/2 (/ 1 (pow x 2))) (+ (* 17/16 (/ 1 (pow x 6))) (/ 21/8 (pow x 4))))))
(* 3 (pow x 6))
(* (pow x 6) (+ 3 (* 9/2 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 3 (+ (* 9/2 (/ 1 (pow x 2))) (/ 27/8 (pow x 4)))))
(* (pow x 6) (+ 3 (+ (* 9/2 (/ 1 (pow x 2))) (+ (* 15/16 (/ 1 (pow x 6))) (/ 27/8 (pow x 4))))))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -5/112 (pow x 2))
(* -1/6 x)
(* x (- (* 3/40 (pow x 2)) 1/6))
(* x (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))
(* x (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))
(* -5/112 (pow x 5))
(* (pow x 5) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 5) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 5) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 5))
(* -1 (* (pow x 5) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))
(/ -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))
(* 9/2 (pow x 2))
(* (pow x 2) (+ 9/2 (* -9/4 (pow x 2))))
(* (pow x 2) (+ 9/2 (* (pow x 2) (- (* 3/2 (pow x 2)) 9/4))))
(* (pow x 2) (+ 9/2 (* (pow x 2) (- (* (pow x 2) (+ 3/2 (* -9/8 (pow x 2)))) 9/4))))
(+ (log 2) (* -9 (log (/ 1 x))))
(+ (log 2) (+ (* -9 (log (/ 1 x))) (* 9/4 (/ 1 (pow x 2)))))
(+ (log 2) (+ (* -9 (log (/ 1 x))) (+ (* 9/4 (/ 1 (pow x 2))) (/ 45/32 (pow x 4)))))
(- (+ (log 2) (+ (* -9 (log (/ 1 x))) (+ (* 9/4 (/ 1 (pow x 2))) (/ 45/32 (pow x 4))))) (* 57/32 (/ 1 (pow x 6))))
(+ (log 9/2) (* -7 (log (/ -1 x))))
(+ (log 9/2) (+ (* -7 (log (/ -1 x))) (* 7/4 (/ 1 (pow x 2)))))
(- (+ (log 9/2) (+ (* -7 (log (/ -1 x))) (* 7/4 (/ 1 (pow x 2))))) (/ 7/96 (pow x 4)))
(+ (log 9/2) (+ (* -7 (log (/ -1 x))) (+ (* -1 (/ (+ 7/96 (* 7/32 (/ 1 (pow x 2)))) (pow x 4))) (* 7/4 (/ 1 (pow x 2))))))
1
(+ 1 (* 9/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 9/2 (* 63/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 9/2 (* (pow x 2) (+ 63/8 (* 105/16 (pow x 2)))))))
(* 2 (pow x 9))
(* (pow x 9) (+ 2 (* 9/2 (/ 1 (pow x 2)))))
(* (pow x 9) (+ 2 (+ (* 9/2 (/ 1 (pow x 2))) (/ 63/8 (pow x 4)))))
(* (pow x 9) (+ 2 (+ (* 9/2 (/ 1 (pow x 2))) (+ (* 105/16 (/ 1 (pow x 6))) (/ 63/8 (pow x 4))))))
(* -9/2 (pow x 7))
(* -1 (* (pow x 7) (+ 9/2 (* 63/8 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (+ 9/2 (+ (* 63/8 (/ 1 (pow x 2))) (/ 105/16 (pow x 4))))))
(* -1 (* (pow x 7) (+ 9/2 (+ (* 63/8 (/ 1 (pow x 2))) (+ (* 315/128 (/ 1 (pow x 6))) (/ 105/16 (pow x 4)))))))

Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))))
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* 3/40 (pow x 5))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (neg.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (neg.f64 (/.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64))))))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64))))))
(* 3/40 (pow x 4))
(.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* 3/40 (pow x 4))
(.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64)))))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64)))))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64)))))
(* 3/40 (pow x 4))
(.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* 3/40 (pow x 4))
(.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) (.f64 x x)))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* x (- (* 3/40 (pow x 2)) 1/6))
(.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64))))
(* x (- (* 3/40 (pow x 2)) 1/6))
(.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64))))
(* x (- (* 3/40 (pow x 2)) 1/6))
(.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64))))
(* 3/40 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(* 3/40 (pow x 3))
(.f64 x (.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x)))))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 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 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))))))))
(* -5/112 (pow x 7))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (.f64 x x))))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -5/112 binary64)) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* -5/112 (pow x 7))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 5/112 binary64) (/.f64 #s(literal -3/40 binary64) (.f64 x x)))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/40 binary64) (.f64 x x)))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 5/112 binary64) (+.f64 (/.f64 #s(literal -3/40 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 7 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64))))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))
(* -5/112 (pow x 6))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -5/112 binary64)) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* -5/112 (pow x 6))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(.f64 (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -5/112 binary64)) (/.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/36 (pow x 4)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/36 binary64)))
(+ 1 (* (pow x 4) (- (* 1/40 (pow x 2)) 1/36)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/36 binary64) (.f64 (.f64 x x) #s(literal 1/40 binary64)))))
(+ 1 (* (pow x 4) (- (* (pow x 2) (+ 1/40 (* -689/33600 (pow x 2)))) 1/36)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal -1/36 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/40 binary64) (.f64 x (.f64 x #s(literal -689/33600 binary64))))))))
(* -25/12544 (pow x 12))
(*.f64 #s(literal -25/12544 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (- (* 3/448 (/ 1 (pow x 2))) 25/12544))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal -25/12544 binary64) (/.f64 #s(literal 3/448 binary64) (.f64 x x))))
(* (pow x 12) (- (* 3/448 (/ 1 (pow x 2))) (+ 25/12544 (/ 689/33600 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal -25/12544 binary64) (/.f64 #s(literal 3/448 binary64) (.f64 x x))) (/.f64 #s(literal -689/33600 binary64) (.f64 (.f64 x x) (*.f64 x x)))))
(* (pow x 12) (- (+ (* 3/448 (/ 1 (pow x 2))) (* 1/40 (/ 1 (pow x 6)))) (+ 25/12544 (/ 689/33600 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 3/448 binary64) (.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/40 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -25/12544 binary64)) (/.f64 #s(literal -689/33600 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* -25/12544 (pow x 12))
(*.f64 #s(literal -25/12544 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (- (* 3/448 (/ 1 (pow x 2))) 25/12544))
(.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal -25/12544 binary64) (/.f64 #s(literal 3/448 binary64) (.f64 x x))))
(* (pow x 12) (- (* 3/448 (/ 1 (pow x 2))) (+ 25/12544 (/ 689/33600 (pow x 4)))))
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#s(literal 1 binary64)
(+ 1 (* 9/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal 9/2 binary64))))
(+ 1 (* (pow x 2) (+ 9/2 (* 63/8 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 9/2 binary64) (.f64 (.f64 x x) #s(literal 63/8 binary64))))))
(+ 1 (* (pow x 2) (+ 9/2 (* (pow x 2) (+ 63/8 (* 105/16 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 9/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 63/8 binary64) (.f64 (.f64 x x) #s(literal 105/16 binary64)))))))
(* 2 (pow x 9))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 9 binary64)))
(* (pow x 9) (+ 2 (* 9/2 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 9/2 binary64) (.f64 x x))))
(* (pow x 9) (+ 2 (+ (* 9/2 (/ 1 (pow x 2))) (/ 63/8 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x x)) (/.f64 #s(literal 63/8 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* (pow x 9) (+ 2 (+ (* 9/2 (/ 1 (pow x 2))) (+ (* 105/16 (/ 1 (pow x 6))) (/ 63/8 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 9/2 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 63/8 binary64) (.f64 (.f64 x x) (*.f64 x x))) (/.f64 #s(literal 105/16 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* -9/2 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -9/2 binary64))
(* -1 (* (pow x 7) (+ 9/2 (* 63/8 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 63/8 binary64) (.f64 x x)))))
(* -1 (* (pow x 7) (+ 9/2 (+ (* 63/8 (/ 1 (pow x 2))) (/ 105/16 (pow x 4))))))
(-.f64 #s(literal 0 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 63/8 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 105/16 binary64) (.f64 (.f64 x x) (*.f64 x x))) #s(literal 9/2 binary64)))))
(* -1 (* (pow x 7) (+ 9/2 (+ (* 63/8 (/ 1 (pow x 2))) (+ (* 315/128 (/ 1 (pow x 6))) (/ 105/16 (pow x 4)))))))
(.f64 (+.f64 (+.f64 (+.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 63/8 binary64) (.f64 x x))) (/.f64 #s(literal 315/128 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 105/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 7 binary64))))

eval116.0ms (1.1%)

Compiler: Compiled 46555 to 2755 computations (94.1% saved)

prune116.0ms (1.1%)

Pruning

14 alts after pruning (4 fresh and 10 done)

	Pruned	Kept	Total
New	817	2	819
Fresh	2	2	4
Picked	1	4	5
Done	0	6	6
Total	820	14	834

Accuracy

100.0%

Counts

834 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	6.9%	(-.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 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.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 x) (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))))))))
▶	6.9%	(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (.f64 x x))) (-.f64 (.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 (.f64 x x) (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))))) (log.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 9/2 binary64)))))
▶	47.4%	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.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))))))))))
✓	46.8%	(.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))))))))
✓	48.3%	(.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)))))))
✓	46.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
✓	27.9%	(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
▶	28.5%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
✓	28.0%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	27.0%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
✓	30.1%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
✓	1.8%	(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
▶	26.3%	(log.f64 (+.f64 x x))
✓	49.2%	x

Compiler

Compiled 331 to 158 computations (52.3% saved)

simplify213.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	512	(.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (.f64 x x))) (-.f64 (.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 (.f64 x x) (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))
✓	cost-diff	512	(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (.f64 x x))) (-.f64 (.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 (.f64 x x) (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))))))
✓	cost-diff	512	(log.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (.f64 x x))) (-.f64 (.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 (.f64 x x) (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))))
✓	cost-diff	640	(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (.f64 x x))) (-.f64 (.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 (.f64 x x) (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))))) (log.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 9/2 binary64)))))
✓	cost-diff	0	(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64)))))
✓	cost-diff	0	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.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)))))))))
✓	cost-diff	0	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.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))))))))))
✓	cost-diff	0	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓	cost-diff	0	(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
✓	cost-diff	0	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(log.f64 (+.f64 x x))

Rules

3666×	`+-lowering-+.f64`
3666×	`+-lowering-+.f32`
3354×	`-lowering-.f32`
3354×	`-lowering-.f64`
1352×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	560
1	184	510
2	621	483
3	2546	471
0	8331	471

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(log (+ x x))
(+ x x)
x
(log (/ (+ -1/2 (/ 1/8 (* x x))) x))
(/ (+ -1/2 (/ 1/8 (* x x))) x)
(+ -1/2 (/ 1/8 (* x x)))
-1/2
(/ 1/8 (* x x))
1/8
(* x x)
x
(* x (/ (- 1 (* (* (* x x) (* x x)) (+ 1/36 (* (* x x) -1/40)))) (- 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))))))
x
(/ (- 1 (* (* (* x x) (* x x)) (+ 1/36 (* (* x x) -1/40)))) (- 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))))
(- 1 (* (* (* x x) (* x x)) (+ 1/36 (* (* x x) -1/40))))
1
(* (* (* x x) (* x x)) (+ 1/36 (* (* x x) -1/40)))
(* (* x x) (* x x))
(* x x)
(+ 1/36 (* (* x x) -1/40))
1/36
(* (* x x) -1/40)
-1/40
(- 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))))
(* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))
(+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))
-1/6
(* (* x x) (+ 3/40 (* x (* x -5/112))))
(+ 3/40 (* x (* x -5/112)))
3/40
(* x (* x -5/112))
(* x -5/112)
-5/112
(+ (log (/ 1 (* (+ 1 (+ (* x (- x (sqrt (+ (* 1 1) (* x x))))) (* x x))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (- (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))) (* x (* x (* x (* x (* x x)))))))))) (log (+ (* (* x (* x x)) (* x (* x (* x (* x (* x x)))))) (pow (+ 1 (* x x)) 9/2))))
(log (/ 1 (* (+ 1 (+ (* x (- x (sqrt (+ (* 1 1) (* x x))))) (* x x))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (- (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))) (* x (* x (* x (* x (* x x))))))))))
(/ 1 (* (+ 1 (+ (* x (- x (sqrt (+ (* 1 1) (* x x))))) (* x x))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (- (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))) (* x (* x (* x (* x (* x x)))))))))
1
(* (+ 1 (+ (* x (- x (sqrt (+ (* 1 1) (* x x))))) (* x x))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (- (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))) (* x (* x (* x (* x (* x x))))))))
(+ 1 (+ (* x (- x (sqrt (+ (* 1 1) (* x x))))) (* x x)))
(+ (* x (- x (sqrt (+ (* 1 1) (* x x))))) (* x x))
(* x (- x (sqrt (+ (* 1 1) (* x x)))))
x
(- x (sqrt (+ (* 1 1) (* x x))))
(sqrt (+ (* 1 1) (* x x)))
(* x x)
(- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (- (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))) (* x (* x (* x (* x (* x x)))))))
(* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x))))
(+ 1 (* x x))
(* (+ 1 (* x x)) (+ 1 (* x x)))
(- (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))) (* x (* x (* x (* x (* x x))))))
(* (* x x) (* x (pow (+ 1 (* x x)) 3/2)))
(* x (pow (+ 1 (* x x)) 3/2))
(pow (+ 1 (* x x)) 3/2)
3/2
(* x (* x (* x (* x (* x x)))))
(* x (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(log (+ (* (* x (* x x)) (* x (* x (* x (* x (* x x)))))) (pow (+ 1 (* x x)) 9/2)))
(+ (* (* x (* x x)) (* x (* x (* x (* x (* x x)))))) (pow (+ 1 (* x x)) 9/2))
(* (* x (* x x)) (* x (* x (* x (* x (* x x))))))
(pow (+ 1 (* x x)) 9/2)
9/2

Outputs
(log (+ x x))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(+ x x)
(*.f64 x #s(literal 2 binary64))
x
(log (/ (+ -1/2 (/ 1/8 (* x x))) x))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(/ (+ -1/2 (/ 1/8 (* x x))) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(+ -1/2 (/ 1/8 (* x x)))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
-1/2
#s(literal -1/2 binary64)
(/ 1/8 (* x x))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
1/8
#s(literal 1/8 binary64)
(* x x)
(*.f64 x x)
x
(* x (/ (- 1 (* (* (* x x) (* x x)) (+ 1/36 (* (* x x) -1/40)))) (- 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))))) (+.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)))))))))
x
(/ (- 1 (* (* (* x x) (* x x)) (+ 1/36 (* (* x x) -1/40)))) (- 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64)))))) (+.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)))))))))
(- 1 (* (* (* x x) (* x x)) (+ 1/36 (* (* x x) -1/40))))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))))
1
#s(literal 1 binary64)
(* (* (* x x) (* x x)) (+ 1/36 (* (* x x) -1/40)))
(.f64 (.f64 x x) (.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64)))))
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 x x)))
(* x x)
(*.f64 x x)
(+ 1/36 (* (* x x) -1/40))
(+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64)))
1/36
#s(literal 1/36 binary64)
(* (* x x) -1/40)
(.f64 (.f64 x x) #s(literal -1/40 binary64))
-1/40
#s(literal -1/40 binary64)
(- 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))
(* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))
(.f64 x (.f64 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))))))))
(+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))
(+.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))))))
-1/6
#s(literal -1/6 binary64)
(* (* x x) (+ 3/40 (* x (* x -5/112))))
(.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))
(+ 3/40 (* x (* x -5/112)))
(+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))
3/40
#s(literal 3/40 binary64)
(* x (* x -5/112))
(.f64 (.f64 x x) #s(literal -5/112 binary64))
(* x -5/112)
(*.f64 x #s(literal -5/112 binary64))
-5/112
#s(literal -5/112 binary64)
(+ (log (/ 1 (* (+ 1 (+ (* x (- x (sqrt (+ (* 1 1) (* x x))))) (* x x))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (- (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))) (* x (* x (* x (* x (* x x)))))))))) (log (+ (* (* x (* x x)) (* x (* x (* x (* x (* x x)))))) (pow (+ 1 (* x x)) 9/2))))
(-.f64 (log.f64 (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 9/2 binary64)))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))))))))
(log (/ 1 (* (+ 1 (+ (* x (- x (sqrt (+ (* 1 1) (* x x))))) (* x x))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (- (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))) (* x (* x (* x (* x (* x x))))))))))
(log.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))))))))
(/ 1 (* (+ 1 (+ (* x (- x (sqrt (+ (* 1 1) (* x x))))) (* x x))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (- (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))) (* x (* x (* x (* x (* x x)))))))))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64)))))))
1
#s(literal 1 binary64)
(* (+ 1 (+ (* x (- x (sqrt (+ (* 1 1) (* x x))))) (* x x))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (- (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))) (* x (* x (* x (* x (* x x))))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))))))
(+ 1 (+ (* x (- x (sqrt (+ (* 1 1) (* x x))))) (* x x)))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) x))))
(+ (* x (- x (sqrt (+ (* 1 1) (* x x))))) (* x x))
(.f64 x (-.f64 (.f64 x #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) x)))
(* x (- x (sqrt (+ (* 1 1) (* x x)))))
(*.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))
x
(- 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)
(* x x)
(*.f64 x x)
(- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (- (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))) (* x (* x (* x (* x (* x x)))))))
(+.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64)))))
(* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* 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))))
(+ 1 (* x x))
(+.f64 (*.f64 x x) #s(literal 1 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 x) (* x (pow (+ 1 (* x x)) 3/2))) (* x (* x (* x (* x (* x x))))))
(.f64 x (.f64 (.f64 x x) (-.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64)) (.f64 x (.f64 x x)))))
(* (* x x) (* x (pow (+ 1 (* x x)) 3/2)))
(.f64 (.f64 x x) (.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))))
(* x (pow (+ 1 (* x x)) 3/2))
(.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64)))
(pow (+ 1 (* x x)) 3/2)
(pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))
3/2
#s(literal 3/2 binary64)
(* x (* x (* x (* x (* x x)))))
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(* x (* x (* x (* x x))))
(.f64 x (.f64 x (.f64 x (.f64 x x))))
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(log (+ (* (* x (* x x)) (* x (* x (* x (* x (* x x)))))) (pow (+ 1 (* x x)) 9/2)))
(log.f64 (+.f64 (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9/2 binary64))))
(+ (* (* x (* x x)) (* x (* x (* x (* x (* x x)))))) (pow (+ 1 (* x x)) 9/2))
(+.f64 (.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9/2 binary64)))
(* (* x (* x x)) (* x (* x (* x (* x (* x x))))))
(.f64 x (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))
(pow (+ 1 (* x x)) 9/2)
(pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9/2 binary64))
9/2
#s(literal 9/2 binary64)

localize430.0ms (4.2%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
✓	accuracy	100.0%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	89.7%	(log.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 9/2 binary64))))
✓	accuracy	77.0%	(log.f64 (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (.f64 x x))) (-.f64 (.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 (.f64 x x) (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x))))))))))
✓	accuracy	100.0%	(.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)))))))
✓	accuracy	100.0%	(*.f64 x #s(literal -5/112 binary64))
✓	accuracy	99.9%	(.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64)))))
✓	accuracy	99.9%	(.f64 (.f64 x x) #s(literal -1/40 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
✓	accuracy	100.0%	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓	accuracy	83.0%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
✓	accuracy	100.0%	(+.f64 x x)
✓	accuracy	100.0%	(log.f64 (+.f64 x x))

Results

153.0ms	193×	0	invalid
151.0ms	63×	1	valid

Compiler

Compiled 805 to 58 computations (92.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 243.0ms

ival-pow: 72.0ms (29.7% of total)

ival-mult: 53.0ms (21.8% of total)

...c/correct-round.rkt:119:19: 25.0ms (10.3% of total)

ival-log: 24.0ms (9.9% of total)

ival-add: 22.0ms (9.1% of total)

ival-sub: 13.0ms (5.4% of total)

compiled-spec: 13.0ms (5.4% of total)

ival-div: 9.0ms (3.7% of total)

backward-pass: 8.0ms (3.3% of total)

ival-sqrt: 3.0ms (1.2% of total)

const: 1.0ms (0.4% of total)

series67.0ms (0.7%)

Counts

22 → 264

Calls

Call 1

Inputs
#<alt (log (+ x x))>
#<alt (+ x x)>
#<alt (log (/ (+ -1/2 (/ 1/8 (* x x))) x))>
#<alt (/ (+ -1/2 (/ 1/8 (* x x))) x)>
#<alt (+ -1/2 (/ 1/8 (* x x)))>
#<alt (/ 1/8 (* x x))>
#<alt (* x (/ (- 1 (* (* (* x x) (* x x)) (+ 1/36 (* (* x x) -1/40)))) (- 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))))))>
#<alt (/ (- 1 (* (* (* x x) (* x x)) (+ 1/36 (* (* x x) -1/40)))) (- 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))))>
#<alt (- 1 (* (* (* x x) (* x x)) (+ 1/36 (* (* x x) -1/40))))>
#<alt (* (* (* x x) (* x x)) (+ 1/36 (* (* x x) -1/40)))>
#<alt (+ (log (/ 1 (* (+ 1 (+ (* x (- x (sqrt (+ (* 1 1) (* x x))))) (* x x))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (- (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))) (* x (* x (* x (* x (* x x)))))))))) (log (+ (* (* x (* x x)) (* x (* x (* x (* x (* x x)))))) (pow (+ 1 (* x x)) 9/2))))>
#<alt (log (/ 1 (* (+ 1 (+ (* x (- x (sqrt (+ (* 1 1) (* x x))))) (* x x))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (- (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))) (* x (* x (* x (* x (* x x))))))))))>
#<alt (/ 1 (* (+ 1 (+ (* x (- x (sqrt (+ (* 1 1) (* x x))))) (* x x))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (- (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))) (* x (* x (* x (* x (* x x)))))))))>
#<alt (* (+ 1 (+ (* x (- x (sqrt (+ (* 1 1) (* x x))))) (* x x))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (- (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))) (* x (* x (* x (* x (* x x))))))))>
#<alt (* x x)>
#<alt (* (* x x) -1/40)>
#<alt (* (* x x) (+ 3/40 (* x (* x -5/112))))>
#<alt (* x -5/112)>
#<alt (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))>
#<alt (log (+ (* (* x (* x x)) (* x (* x (* x (* x (* x x)))))) (pow (+ 1 (* x x)) 9/2)))>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x (* x (* x (* 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 1/8) (* -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 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 (* 14/25 x)>
#<alt (* x (+ 14/25 (* 1792/5625 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 14/25 (* 1792/5625 (/ 1 (pow x 2)))) (/ 24304/15625 (pow x 4))))>
#<alt (* x (- (+ 14/25 (+ (* 1792/5625 (/ 1 (pow x 2))) (* 63845264/10546875 (/ 1 (pow x 6))))) (/ 24304/15625 (pow x 4))))>
#<alt (* 14/25 x)>
#<alt (* x (+ 14/25 (* 1792/5625 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- (/ 24304/15625 (pow x 4)) (+ 14/25 (* 1792/5625 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* x (- (/ 24304/15625 (pow x 4)) (+ 14/25 (+ (* 1792/5625 (/ 1 (pow x 2))) (* 63845264/10546875 (/ 1 (pow x 6))))))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))>
#<alt 14/25>
#<alt (+ 14/25 (* 1792/5625 (/ 1 (pow x 2))))>
#<alt (- (+ 14/25 (* 1792/5625 (/ 1 (pow x 2)))) (/ 24304/15625 (pow x 4)))>
#<alt (- (+ 14/25 (+ (* 1792/5625 (/ 1 (pow x 2))) (* 63845264/10546875 (/ 1 (pow x 6))))) (/ 24304/15625 (pow x 4)))>
#<alt 14/25>
#<alt (+ 14/25 (* 1792/5625 (/ 1 (pow x 2))))>
#<alt (- (+ 14/25 (* 1792/5625 (/ 1 (pow x 2)))) (/ 24304/15625 (pow x 4)))>
#<alt (- (+ 14/25 (+ (* 1792/5625 (/ 1 (pow x 2))) (* 63845264/10546875 (/ 1 (pow x 6))))) (/ 24304/15625 (pow x 4)))>
#<alt 1>
#<alt (+ 1 (* -1/36 (pow x 4)))>
#<alt (+ 1 (* (pow x 4) (- (* 1/40 (pow x 2)) 1/36)))>
#<alt (+ 1 (* (pow x 4) (- (* 1/40 (pow x 2)) 1/36)))>
#<alt (* 1/40 (pow x 6))>
#<alt (* (pow x 6) (- 1/40 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/40 (/ 1 (pow x 6))) (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/40 (/ 1 (pow x 6))) (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* 1/40 (pow x 6))>
#<alt (* (pow x 6) (- 1/40 (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/40 (/ 1 (pow x 6))) (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- (+ 1/40 (/ 1 (pow x 6))) (* 1/36 (/ 1 (pow x 2)))))>
#<alt (* 1/36 (pow x 4))>
#<alt (* (pow x 4) (+ 1/36 (* -1/40 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/36 (* -1/40 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/36 (* -1/40 (pow x 2))))>
#<alt (* -1/40 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/36 (/ 1 (pow x 2))) 1/40))>
#<alt (* (pow x 6) (- (* 1/36 (/ 1 (pow x 2))) 1/40))>
#<alt (* (pow x 6) (- (* 1/36 (/ 1 (pow x 2))) 1/40))>
#<alt (* -1/40 (pow x 6))>
#<alt (* (pow x 6) (- (* 1/36 (/ 1 (pow x 2))) 1/40))>
#<alt (* (pow x 6) (- (* 1/36 (/ 1 (pow x 2))) 1/40))>
#<alt (* (pow x 6) (- (* 1/36 (/ 1 (pow x 2))) 1/40))>
#<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) (+ (* -9 (log (/ 1 x))) (* 8 (log (/ 1 x)))))>
#<alt (+ (log 2) (+ (* -9 (log (/ 1 x))) (+ (* 8 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (+ (log 2) (+ (* -9 (log (/ 1 x))) (+ (* 8 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -9 (log (/ 1 x))) (+ (* 8 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log 1/9) (+ (log 9/2) (+ (* -7 (log (/ -1 x))) (* 8 (log (/ -1 x))))))>
#<alt (- (+ (log 1/9) (+ (log 9/2) (+ (* -7 (log (/ -1 x))) (* 8 (log (/ -1 x)))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/9) (+ (log 9/2) (+ (* -7 (log (/ -1 x))) (+ (* 8 (log (/ -1 x))) (/ 3/32 (pow x 4)))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/9) (+ (log 9/2) (+ (* -7 (log (/ -1 x))) (+ (* 8 (log (/ -1 x))) (/ 3/32 (pow x 4)))))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))>
#<alt x>
#<alt (* x (+ 1 (* -9/2 x)))>
#<alt (* x (+ 1 (* x (- (* -1/6 x) 9/2))))>
#<alt (* x (+ 1 (* x (- (* x (- (* 9/4 x) 1/6)) 9/2))))>
#<alt (* 8 (log (/ 1 x)))>
#<alt (- (* 8 (log (/ 1 x))) (* 2 (/ 1 (pow x 2))))>
#<alt (+ (* -1 (/ (+ 2 (* 3/2 (/ 1 (pow x 2)))) (pow x 2))) (* 8 (log (/ 1 x))))>
#<alt (- (+ (* 8 (log (/ 1 x))) (* 11/6 (/ 1 (pow x 6)))) (+ (* 2 (/ 1 (pow x 2))) (/ 3/2 (pow x 4))))>
#<alt (+ (log 1/9) (* 8 (log (/ -1 x))))>
#<alt (- (+ (log 1/9) (* 8 (log (/ -1 x)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/9) (+ (* 8 (log (/ -1 x))) (/ 1/6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/9) (+ (* 8 (log (/ -1 x))) (+ (/ 1/6 (pow x 4)) (* 1/6 (/ 1 (pow x 6)))))) (* 2 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* -4 x))))>
#<alt (+ 1 (* x (+ 1 (* x (- (* -9/2 x) 4)))))>
#<alt (/ 1 (pow x 8))>
#<alt (/ (- 1 (* 2 (/ 1 (pow x 2)))) (pow x 8))>
#<alt (/ (- (+ 1 (/ 1/2 (pow x 4))) (* 2 (/ 1 (pow x 2)))) (pow x 8))>
#<alt (/ (- (+ 1 (+ (/ 1/2 (pow x 4)) (* 7/2 (/ 1 (pow x 6))))) (* 2 (/ 1 (pow x 2)))) (pow x 8))>
#<alt (/ 1/9 (pow x 8))>
#<alt (/ (- 1/9 (* 2/9 (/ 1 (pow x 2)))) (pow x 8))>
#<alt (/ (- (+ 1/9 (/ 13/54 (pow x 4))) (* 2/9 (/ 1 (pow x 2)))) (pow x 8))>
#<alt (/ (- (+ 1/9 (/ 13/54 (pow x 4))) (+ (* 2/9 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))) (pow x 8))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 5 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 5 (* -9/2 x))) 1)))>
#<alt (pow x 8)>
#<alt (* (pow x 8) (+ 1 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 7/2 (pow x 4)))))>
#<alt (* (pow x 8) (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 5/2 (/ 1 (pow x 6))) (/ 7/2 (pow x 4))))))>
#<alt (* 9 (pow x 8))>
#<alt (* (pow x 8) (+ 9 (* 18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (+ 9 (+ (* 18 (/ 1 (pow x 2))) (/ 33/2 (pow x 4)))))>
#<alt (* (pow x 8) (+ 9 (+ (* 18 (/ 1 (pow x 2))) (+ (* 15/2 (/ 1 (pow x 6))) (/ 33/2 (pow x 4))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1/40 (pow x 2))>
#<alt (* -1/40 (pow x 2))>
#<alt (* -1/40 (pow x 2))>
#<alt (* -1/40 (pow x 2))>
#<alt (* -1/40 (pow x 2))>
#<alt (* -1/40 (pow x 2))>
#<alt (* -1/40 (pow x 2))>
#<alt (* -1/40 (pow x 2))>
#<alt (* -1/40 (pow x 2))>
#<alt (* -1/40 (pow x 2))>
#<alt (* -1/40 (pow x 2))>
#<alt (* -1/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))>
#<alt (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))>
#<alt (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))>
#<alt (* -5/112 (pow x 4))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* -5/112 (pow x 4))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* -5/112 x)>
#<alt (* -5/112 x)>
#<alt (* -5/112 x)>
#<alt (* -5/112 x)>
#<alt (* -5/112 x)>
#<alt (* -5/112 x)>
#<alt (* -5/112 x)>
#<alt (* -5/112 x)>
#<alt (* -5/112 x)>
#<alt (* -5/112 x)>
#<alt (* -5/112 x)>
#<alt (* -5/112 x)>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* 9/2 (pow x 2))>
#<alt (* (pow x 2) (+ 9/2 (* -9/4 (pow x 2))))>
#<alt (* (pow x 2) (+ 9/2 (* (pow x 2) (- (* 3/2 (pow x 2)) 9/4))))>
#<alt (* (pow x 2) (+ 9/2 (* (pow x 2) (- (* (pow x 2) (+ 3/2 (* -9/8 (pow x 2)))) 9/4))))>
#<alt (+ (log 2) (* -9 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -9 (log (/ 1 x))) (* 9/4 (/ 1 (pow x 2)))))>
#<alt (+ (log 2) (+ (* -9 (log (/ 1 x))) (+ (* 9/4 (/ 1 (pow x 2))) (/ 45/32 (pow x 4)))))>
#<alt (- (+ (log 2) (+ (* -9 (log (/ 1 x))) (+ (* 9/4 (/ 1 (pow x 2))) (/ 45/32 (pow x 4))))) (* 57/32 (/ 1 (pow x 6))))>
#<alt (+ (log 9/2) (* -7 (log (/ -1 x))))>
#<alt (+ (log 9/2) (+ (* -7 (log (/ -1 x))) (* 7/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 9/2) (+ (* -7 (log (/ -1 x))) (* 7/4 (/ 1 (pow x 2))))) (/ 7/96 (pow x 4)))>
#<alt (+ (log 9/2) (+ (* -7 (log (/ -1 x))) (+ (* -1 (/ (+ 7/96 (* 7/32 (/ 1 (pow x 2)))) (pow x 4))) (* 7/4 (/ 1 (pow x 2))))))>
#<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 (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>

Calls

66 calls:

Time	Variable		Point	Expression
33.0ms	x	@	0	(log (+ x x))
15.0ms	x	@	-inf	(log (+ x x))
6.0ms	x	@	inf	(log (+ x x))
1.0ms	x	@	-inf	(+ (log (/ 1 (* (+ 1 (+ (* x (- x (sqrt (+ (* 1 1) (* x x))))) (* x x))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (- (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))) (* x (* x (* x (* x (* x x)))))))))) (log (+ (* (* x (* x x)) (* x (* x (* x (* x (* x x)))))) (pow (+ 1 (* x x)) 9/2))))
1.0ms	x	@	inf	(+ (log (/ 1 (* (+ 1 (+ (* x (- x (sqrt (+ (* 1 1) (* x x))))) (* x x))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (- (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))) (* x (* x (* x (* x (* x x)))))))))) (log (+ (* (* x (* x x)) (* x (* x (* x (* x (* x x)))))) (pow (+ 1 (* x x)) 9/2))))

rewrite344.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2774×	`-lowering-.f32`
2774×	`-lowering-.f64`
1442×	`fma-lowering-fma.f32`
1442×	`fma-lowering-fma.f64`
1394×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	340
1	411	296
2	4075	288
0	8011	288

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 384

Calls

Call 1

Inputs
(log (+ x x))
(+ x x)
(log (/ (+ -1/2 (/ 1/8 (* x x))) x))
(/ (+ -1/2 (/ 1/8 (* x x))) x)
(+ -1/2 (/ 1/8 (* x x)))
(/ 1/8 (* x x))
(* x (/ (- 1 (* (* (* x x) (* x x)) (+ 1/36 (* (* x x) -1/40)))) (- 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112)))))))))
(/ (- 1 (* (* (* x x) (* x x)) (+ 1/36 (* (* x x) -1/40)))) (- 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))))
(- 1 (* (* (* x x) (* x x)) (+ 1/36 (* (* x x) -1/40))))
(* (* (* x x) (* x x)) (+ 1/36 (* (* x x) -1/40)))
(+ (log (/ 1 (* (+ 1 (+ (* x (- x (sqrt (+ (* 1 1) (* x x))))) (* x x))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (- (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))) (* x (* x (* x (* x (* x x)))))))))) (log (+ (* (* x (* x x)) (* x (* x (* x (* x (* x x)))))) (pow (+ 1 (* x x)) 9/2))))
(log (/ 1 (* (+ 1 (+ (* x (- x (sqrt (+ (* 1 1) (* x x))))) (* x x))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (- (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))) (* x (* x (* x (* x (* x x))))))))))
(/ 1 (* (+ 1 (+ (* x (- x (sqrt (+ (* 1 1) (* x x))))) (* x x))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (- (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))) (* x (* x (* x (* x (* x x)))))))))
(* (+ 1 (+ (* x (- x (sqrt (+ (* 1 1) (* x x))))) (* x x))) (- (* (+ 1 (* x x)) (* (+ 1 (* x x)) (+ 1 (* x x)))) (- (* (* x x) (* x (pow (+ 1 (* x x)) 3/2))) (* x (* x (* x (* x (* x x))))))))
(* x x)
(* (* x x) -1/40)
(* (* x x) (+ 3/40 (* x (* x -5/112))))
(* x -5/112)
(* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* x (* x -5/112))))))
(log (+ (* (* x (* x x)) (* x (* x (* x (* x (* x x)))))) (pow (+ 1 (* x x)) 9/2)))
(* x (* x (* x x)))
(* x (* x (* x (* x (* 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 (.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 0 binary64)))))
(+.f64 (log.f64 #s(literal 0 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (.f64 x x) #s(literal 0 binary64)) (.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(-.f64 (log.f64 (.f64 (.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (log.f64 (+.f64 (*.f64 x x) #s(literal 0 binary64))))
(-.f64 (log.f64 #s(literal 0 binary64)) (log.f64 #s(literal 0 binary64)))
(-.f64 (log.f64 (neg.f64 (.f64 (.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (log.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal 0 binary64)))))
(neg.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(neg.f64 (log.f64 (/.f64 (+.f64 (.f64 x x) #s(literal 0 binary64)) (.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(+.f64 x x)
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #s(literal 0 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 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 x x) #s(literal 0 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (neg.f64 (+.f64 (*.f64 x x) #s(literal 0 binary64))))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 x x) #s(literal 0 binary64)) (.f64 (*.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal -1 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 2 binary64) x)
(.f64 (.f64 (.f64 x x) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 0 binary64))))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)))
(+.f64 (log.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(+.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) #s(literal 1 binary64))))
(-.f64 (log.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) (log.f64 x))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))))
(-.f64 (log.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (log.f64 (.f64 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 (log.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x)))))) (log.f64 (.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))))
(-.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 (log.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64))) (log.f64 (.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)))) x)))
(-.f64 (log.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64))) (log.f64 (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))))
(-.f64 (log.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) #s(literal 1 binary64))) (log.f64 x))
(-.f64 (log.f64 (.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) x))) (log.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 (log.f64 (.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) x))) (log.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
(neg.f64 (log.f64 (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))))
(neg.f64 (log.f64 (/.f64 (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))) (log.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) (log.f64 x)))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))) (log.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))) (.f64 (log.f64 x) (log.f64 x))) (log.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
(.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))))
(exp.f64 (.f64 (log.f64 (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))))
(/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) 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 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 1/4 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
(/.f64 (.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) #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)))) x))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
(/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) #s(literal 1 binary64)) x)
(/.f64 (.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) 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 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(pow.f64 (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
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(.f64 (.f64 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))))))) x)
(.f64 (.f64 #s(literal 1 binary64) x) (.f64 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))))))))
(.f64 (.f64 #s(literal 1 binary64) (+.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))))))) (*.f64 x x))
(log.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9/2 binary64))))
(+.f64 (log.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 27/2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (.f64 (.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) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))))) (.f64 x (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9/2 binary64)))))))))
(+.f64 (log.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (.f64 (.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) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9/2 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (.f64 (.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) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))))) (.f64 x (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 9/2 binary64)))))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 27/2 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 9/2 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (.f64 (.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) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))))))))))
(-.f64 (log.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 27/2 binary64)))) (log.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (.f64 (.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) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))))) (.f64 x (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9/2 binary64))))))))
(-.f64 (log.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 27/2 binary64)))) (log.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (.f64 (.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) #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) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 x (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9/2 binary64))))))))
(-.f64 (log.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (.f64 (.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) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))))))) (log.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9/2 binary64)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 27/2 binary64))))) (log.f64 (neg.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (.f64 (.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) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))))) (.f64 x (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9/2 binary64)))))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (.f64 (.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) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64))))))))) (log.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 9/2 binary64))))))
(-.f64 (log.f64 (-.f64 (.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (.f64 (.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) #s(literal 1 binary64))) (.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) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))))) (log.f64 (-.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 9/2 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))))))
(neg.f64 (log.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 (.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (.f64 (.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) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))))) (.f64 x (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 9/2 binary64)))))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 27/2 binary64))))))
(neg.f64 (log.f64 (/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 9/2 binary64))) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (.f64 (.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) #s(literal 1 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))))))))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 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)
(.f64 (pow.f64 (.f64 x x) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x x))) #s(literal 2 binary64)))
(pow.f64 x #s(literal 6 binary64))
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
(pow.f64 (.f64 x (.f64 x x)) #s(literal 2 binary64))
(.f64 x (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x))))
(.f64 (.f64 x (.f64 x (.f64 x x))) (*.f64 x x))
(.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))
(.f64 (.f64 x (.f64 x (.f64 x (*.f64 x x)))) x)
(.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)))

simplify297.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

4172×	`+-lowering-+.f64`
4172×	`+-lowering-+.f32`
3514×	`-lowering-.f32`
3514×	`-lowering-.f64`
1472×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	371	2305
1	1051	1995
2	3105	1971
0	8129	1971

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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 1/8) (* -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))
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))))
(* 14/25 x)
(* x (+ 14/25 (* 1792/5625 (/ 1 (pow x 2)))))
(* x (- (+ 14/25 (* 1792/5625 (/ 1 (pow x 2)))) (/ 24304/15625 (pow x 4))))
(* x (- (+ 14/25 (+ (* 1792/5625 (/ 1 (pow x 2))) (* 63845264/10546875 (/ 1 (pow x 6))))) (/ 24304/15625 (pow x 4))))
(* 14/25 x)
(* x (+ 14/25 (* 1792/5625 (/ 1 (pow x 2)))))
(* -1 (* x (- (/ 24304/15625 (pow x 4)) (+ 14/25 (* 1792/5625 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 24304/15625 (pow x 4)) (+ 14/25 (+ (* 1792/5625 (/ 1 (pow x 2))) (* 63845264/10546875 (/ 1 (pow x 6))))))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
14/25
(+ 14/25 (* 1792/5625 (/ 1 (pow x 2))))
(- (+ 14/25 (* 1792/5625 (/ 1 (pow x 2)))) (/ 24304/15625 (pow x 4)))
(- (+ 14/25 (+ (* 1792/5625 (/ 1 (pow x 2))) (* 63845264/10546875 (/ 1 (pow x 6))))) (/ 24304/15625 (pow x 4)))
14/25
(+ 14/25 (* 1792/5625 (/ 1 (pow x 2))))
(- (+ 14/25 (* 1792/5625 (/ 1 (pow x 2)))) (/ 24304/15625 (pow x 4)))
(- (+ 14/25 (+ (* 1792/5625 (/ 1 (pow x 2))) (* 63845264/10546875 (/ 1 (pow x 6))))) (/ 24304/15625 (pow x 4)))
1
(+ 1 (* -1/36 (pow x 4)))
(+ 1 (* (pow x 4) (- (* 1/40 (pow x 2)) 1/36)))
(+ 1 (* (pow x 4) (- (* 1/40 (pow x 2)) 1/36)))
(* 1/40 (pow x 6))
(* (pow x 6) (- 1/40 (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/40 (/ 1 (pow x 6))) (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/40 (/ 1 (pow x 6))) (* 1/36 (/ 1 (pow x 2)))))
(* 1/40 (pow x 6))
(* (pow x 6) (- 1/40 (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/40 (/ 1 (pow x 6))) (* 1/36 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/40 (/ 1 (pow x 6))) (* 1/36 (/ 1 (pow x 2)))))
(* 1/36 (pow x 4))
(* (pow x 4) (+ 1/36 (* -1/40 (pow x 2))))
(* (pow x 4) (+ 1/36 (* -1/40 (pow x 2))))
(* (pow x 4) (+ 1/36 (* -1/40 (pow x 2))))
(* -1/40 (pow x 6))
(* (pow x 6) (- (* 1/36 (/ 1 (pow x 2))) 1/40))
(* (pow x 6) (- (* 1/36 (/ 1 (pow x 2))) 1/40))
(* (pow x 6) (- (* 1/36 (/ 1 (pow x 2))) 1/40))
(* -1/40 (pow x 6))
(* (pow x 6) (- (* 1/36 (/ 1 (pow x 2))) 1/40))
(* (pow x 6) (- (* 1/36 (/ 1 (pow x 2))) 1/40))
(* (pow x 6) (- (* 1/36 (/ 1 (pow x 2))) 1/40))
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) (+ (* -9 (log (/ 1 x))) (* 8 (log (/ 1 x)))))
(+ (log 2) (+ (* -9 (log (/ 1 x))) (+ (* 8 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))
(- (+ (log 2) (+ (* -9 (log (/ 1 x))) (+ (* 8 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -9 (log (/ 1 x))) (+ (* 8 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) (/ 3/32 (pow x 4)))
(+ (log 1/9) (+ (log 9/2) (+ (* -7 (log (/ -1 x))) (* 8 (log (/ -1 x))))))
(- (+ (log 1/9) (+ (log 9/2) (+ (* -7 (log (/ -1 x))) (* 8 (log (/ -1 x)))))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/9) (+ (log 9/2) (+ (* -7 (log (/ -1 x))) (+ (* 8 (log (/ -1 x))) (/ 3/32 (pow x 4)))))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/9) (+ (log 9/2) (+ (* -7 (log (/ -1 x))) (+ (* 8 (log (/ -1 x))) (/ 3/32 (pow x 4)))))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
x
(* x (+ 1 (* -9/2 x)))
(* x (+ 1 (* x (- (* -1/6 x) 9/2))))
(* x (+ 1 (* x (- (* x (- (* 9/4 x) 1/6)) 9/2))))
(* 8 (log (/ 1 x)))
(- (* 8 (log (/ 1 x))) (* 2 (/ 1 (pow x 2))))
(+ (* -1 (/ (+ 2 (* 3/2 (/ 1 (pow x 2)))) (pow x 2))) (* 8 (log (/ 1 x))))
(- (+ (* 8 (log (/ 1 x))) (* 11/6 (/ 1 (pow x 6)))) (+ (* 2 (/ 1 (pow x 2))) (/ 3/2 (pow x 4))))
(+ (log 1/9) (* 8 (log (/ -1 x))))
(- (+ (log 1/9) (* 8 (log (/ -1 x)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/9) (+ (* 8 (log (/ -1 x))) (/ 1/6 (pow x 4)))) (* 2 (/ 1 (pow x 2))))
(- (+ (log 1/9) (+ (* 8 (log (/ -1 x))) (+ (/ 1/6 (pow x 4)) (* 1/6 (/ 1 (pow x 6)))))) (* 2 (/ 1 (pow x 2))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -4 x))))
(+ 1 (* x (+ 1 (* x (- (* -9/2 x) 4)))))
(/ 1 (pow x 8))
(/ (- 1 (* 2 (/ 1 (pow x 2)))) (pow x 8))
(/ (- (+ 1 (/ 1/2 (pow x 4))) (* 2 (/ 1 (pow x 2)))) (pow x 8))
(/ (- (+ 1 (+ (/ 1/2 (pow x 4)) (* 7/2 (/ 1 (pow x 6))))) (* 2 (/ 1 (pow x 2)))) (pow x 8))
(/ 1/9 (pow x 8))
(/ (- 1/9 (* 2/9 (/ 1 (pow x 2)))) (pow x 8))
(/ (- (+ 1/9 (/ 13/54 (pow x 4))) (* 2/9 (/ 1 (pow x 2)))) (pow x 8))
(/ (- (+ 1/9 (/ 13/54 (pow x 4))) (+ (* 2/9 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow x 6))))) (pow x 8))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 5 x) 1)))
(+ 1 (* x (- (* x (+ 5 (* -9/2 x))) 1)))
(pow x 8)
(* (pow x 8) (+ 1 (* 2 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 7/2 (pow x 4)))))
(* (pow x 8) (+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 5/2 (/ 1 (pow x 6))) (/ 7/2 (pow x 4))))))
(* 9 (pow x 8))
(* (pow x 8) (+ 9 (* 18 (/ 1 (pow x 2)))))
(* (pow x 8) (+ 9 (+ (* 18 (/ 1 (pow x 2))) (/ 33/2 (pow x 4)))))
(* (pow x 8) (+ 9 (+ (* 18 (/ 1 (pow x 2))) (+ (* 15/2 (/ 1 (pow x 6))) (/ 33/2 (pow x 4))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/40 (pow x 2))
(* -1/40 (pow x 2))
(* -1/40 (pow x 2))
(* -1/40 (pow x 2))
(* -1/40 (pow x 2))
(* -1/40 (pow x 2))
(* -1/40 (pow x 2))
(* -1/40 (pow x 2))
(* -1/40 (pow x 2))
(* -1/40 (pow x 2))
(* -1/40 (pow x 2))
(* -1/40 (pow x 2))
(* 3/40 (pow x 2))
(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))
(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))
(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))
(* -5/112 (pow x 4))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* -5/112 (pow x 4))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* -5/112 x)
(* -5/112 x)
(* -5/112 x)
(* -5/112 x)
(* -5/112 x)
(* -5/112 x)
(* -5/112 x)
(* -5/112 x)
(* -5/112 x)
(* -5/112 x)
(* -5/112 x)
(* -5/112 x)
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* 9/2 (pow x 2))
(* (pow x 2) (+ 9/2 (* -9/4 (pow x 2))))
(* (pow x 2) (+ 9/2 (* (pow x 2) (- (* 3/2 (pow x 2)) 9/4))))
(* (pow x 2) (+ 9/2 (* (pow x 2) (- (* (pow x 2) (+ 3/2 (* -9/8 (pow x 2)))) 9/4))))
(+ (log 2) (* -9 (log (/ 1 x))))
(+ (log 2) (+ (* -9 (log (/ 1 x))) (* 9/4 (/ 1 (pow x 2)))))
(+ (log 2) (+ (* -9 (log (/ 1 x))) (+ (* 9/4 (/ 1 (pow x 2))) (/ 45/32 (pow x 4)))))
(- (+ (log 2) (+ (* -9 (log (/ 1 x))) (+ (* 9/4 (/ 1 (pow x 2))) (/ 45/32 (pow x 4))))) (* 57/32 (/ 1 (pow x 6))))
(+ (log 9/2) (* -7 (log (/ -1 x))))
(+ (log 9/2) (+ (* -7 (log (/ -1 x))) (* 7/4 (/ 1 (pow x 2)))))
(- (+ (log 9/2) (+ (* -7 (log (/ -1 x))) (* 7/4 (/ 1 (pow x 2))))) (/ 7/96 (pow x 4)))
(+ (log 9/2) (+ (* -7 (log (/ -1 x))) (+ (* -1 (/ (+ 7/96 (* 7/32 (/ 1 (pow x 2)))) (pow x 4))) (* 7/4 (/ 1 (pow x 2))))))
(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)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(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 1/8) (* -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 (log.f64 #s(literal 1/8 binary64)) (+.f64 (.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) (- (* -8 (pow x 2)) 4))))
(+.f64 (.f64 (log.f64 x) #s(literal -3 binary64)) (+.f64 (log.f64 #s(literal 1/8 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal -4 binary64) (.f64 (*.f64 x x) #s(literal -8 binary64))))))
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+.f64 (+.f64 (log.f64 #s(literal 1/8 binary64)) (.f64 (log.f64 x) #s(literal -3 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -8 binary64) (.f64 (*.f64 x x) #s(literal -64/3 binary64)))))))
(+ (log -1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(- (+ (log -1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (-.f64 (log.f64 x) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/32 binary64) (.f64 x x))) (.f64 x x))))
(- (+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (-.f64 (/.f64 (+.f64 #s(literal -1/32 binary64) (/.f64 #s(literal -1/192 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.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)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/32 binary64) (.f64 x x))) (.f64 x x)) (log.f64 #s(literal 1/2 binary64))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (/.f64 (+.f64 #s(literal -1/32 binary64) (/.f64 #s(literal -1/192 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(/ 1/8 (pow x 3))
(/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x (.f64 x x)))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x (.f64 x x)))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x (.f64 x x)))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x))
-1/2
#s(literal -1/2 binary64)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
-1/2
#s(literal -1/2 binary64)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
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 x (.f64 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))))))))))
(* 14/25 x)
(*.f64 x #s(literal 14/25 binary64))
(* x (+ 14/25 (* 1792/5625 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 14/25 binary64) (/.f64 #s(literal 1792/5625 binary64) (.f64 x x))))
(* x (- (+ 14/25 (* 1792/5625 (/ 1 (pow x 2)))) (/ 24304/15625 (pow x 4))))
(.f64 x (+.f64 #s(literal 14/25 binary64) (+.f64 (/.f64 #s(literal 1792/5625 binary64) (.f64 x x)) (/.f64 #s(literal -24304/15625 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* x (- (+ 14/25 (+ (* 1792/5625 (/ 1 (pow x 2))) (* 63845264/10546875 (/ 1 (pow x 6))))) (/ 24304/15625 (pow x 4))))
(.f64 x (+.f64 (+.f64 #s(literal 14/25 binary64) (/.f64 #s(literal 1792/5625 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 63845264/10546875 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -24304/15625 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 14/25 x)
(*.f64 x #s(literal 14/25 binary64))
(* x (+ 14/25 (* 1792/5625 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 14/25 binary64) (/.f64 #s(literal 1792/5625 binary64) (.f64 x x))))
(* -1 (* x (- (/ 24304/15625 (pow x 4)) (+ 14/25 (* 1792/5625 (/ 1 (pow x 2)))))))
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(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))))
(* -5/112 (pow x 4))
(.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (*.f64 x x))))
(* -5/112 x)
(*.f64 x #s(literal -5/112 binary64))
(* -5/112 x)
(*.f64 x #s(literal -5/112 binary64))
(* -5/112 x)
(*.f64 x #s(literal -5/112 binary64))
(* -5/112 x)
(*.f64 x #s(literal -5/112 binary64))
(* -5/112 x)
(*.f64 x #s(literal -5/112 binary64))
(* -5/112 x)
(*.f64 x #s(literal -5/112 binary64))
(* -5/112 x)
(*.f64 x #s(literal -5/112 binary64))
(* -5/112 x)
(*.f64 x #s(literal -5/112 binary64))
(* -5/112 x)
(*.f64 x #s(literal -5/112 binary64))
(* -5/112 x)
(*.f64 x #s(literal -5/112 binary64))
(* -5/112 x)
(*.f64 x #s(literal -5/112 binary64))
(* -5/112 x)
(*.f64 x #s(literal -5/112 binary64))
(* -1/6 (pow x 2))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64))))
(* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))
(.f64 x (.f64 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))))))))
(* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))
(.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))
(* -5/112 (pow x 6))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (.f64 x x))))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -5/112 (pow x 6))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (.f64 x x))))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 3/40 binary64) (.f64 x x)) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* 9/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 9/2 binary64))
(* (pow x 2) (+ 9/2 (* -9/4 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 9/2 binary64) (.f64 x (.f64 x #s(literal -9/4 binary64)))))
(* (pow x 2) (+ 9/2 (* (pow x 2) (- (* 3/2 (pow x 2)) 9/4))))
(.f64 x (.f64 x (+.f64 #s(literal 9/2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -9/4 binary64) (.f64 (.f64 x x) #s(literal 3/2 binary64)))))))
(* (pow x 2) (+ 9/2 (* (pow x 2) (- (* (pow x 2) (+ 3/2 (* -9/8 (pow x 2)))) 9/4))))
(.f64 (.f64 x x) (+.f64 #s(literal 9/2 binary64) (.f64 x (.f64 x (+.f64 #s(literal -9/4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/2 binary64) (.f64 (.f64 x x) #s(literal -9/8 binary64)))))))))
(+ (log 2) (* -9 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 9 binary64)))
(+ (log 2) (+ (* -9 (log (/ 1 x))) (* 9/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 (log.f64 x) #s(literal 9 binary64)) (/.f64 #s(literal 9/4 binary64) (.f64 x x))))
(+ (log 2) (+ (* -9 (log (/ 1 x))) (+ (* 9/4 (/ 1 (pow x 2))) (/ 45/32 (pow x 4)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 (log.f64 x) #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 9/4 binary64) (.f64 x x)) (/.f64 #s(literal 45/32 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(- (+ (log 2) (+ (* -9 (log (/ 1 x))) (+ (* 9/4 (/ 1 (pow x 2))) (/ 45/32 (pow x 4))))) (* 57/32 (/ 1 (pow x 6))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 (log.f64 x) #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 45/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (/.f64 #s(literal 9/4 binary64) (*.f64 x x)) (/.f64 #s(literal 57/32 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(+ (log 9/2) (* -7 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal 9/2 binary64)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -7 binary64)))
(+ (log 9/2) (+ (* -7 (log (/ -1 x))) (* 7/4 (/ 1 (pow x 2)))))
(+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -7 binary64)) (+.f64 (log.f64 #s(literal 9/2 binary64)) (/.f64 #s(literal 7/4 binary64) (.f64 x x))))
(- (+ (log 9/2) (+ (* -7 (log (/ -1 x))) (* 7/4 (/ 1 (pow x 2))))) (/ 7/96 (pow x 4)))
(+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -7 binary64)) (-.f64 (+.f64 (log.f64 #s(literal 9/2 binary64)) (/.f64 #s(literal 7/4 binary64) (.f64 x x))) (/.f64 #s(literal 7/96 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(+ (log 9/2) (+ (* -7 (log (/ -1 x))) (+ (* -1 (/ (+ 7/96 (* 7/32 (/ 1 (pow x 2)))) (pow x 4))) (* 7/4 (/ 1 (pow x 2))))))
(+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -7 binary64)) (+.f64 (+.f64 (log.f64 #s(literal 9/2 binary64)) (/.f64 #s(literal 7/4 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal -7/96 binary64) (/.f64 #s(literal -7/32 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))

eval170.0ms (1.7%)

Compiler: Compiled 60452 to 2780 computations (95.4% saved)

prune168.0ms (1.7%)

Pruning

24 alts after pruning (13 fresh and 11 done)

	Pruned	Kept	Total
New	964	13	977
Fresh	0	0	0
Picked	2	2	4
Done	1	9	10
Total	967	24	991

Accuracy

100.0%

Counts

991 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.3%	(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x #s(literal -5/112 binary64))))))))))
	47.4%	(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64))))))))
	47.2%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64))))))))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (*.f64 x #s(literal -1/40 binary64)))))))))
	6.9%	(-.f64 (log.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 9/2 binary64)))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (.f64 (.f64 x x) (-.f64 (.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))) (.f64 x (.f64 x (*.f64 x x)))))))))
	6.9%	(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (.f64 (.f64 x x) (-.f64 (.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))) (log.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 9/2 binary64)))))
	47.2%	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1600 binary64))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64)))))) (-.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))))))))))
	47.4%	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64))))) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
	47.4%	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 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))))))) x))))
	26.7%	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (.f64 x x)))))))))
	47.2%	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
	47.4%	(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.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))))))))))
✓	46.8%	(.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))))))))
✓	48.3%	(.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)))))))
✓	46.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
	47.4%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64)))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64))))))))
	11.9%	(*.f64 x #s(literal 14/25 binary64))
✓	27.9%	(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
✓	28.5%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
✓	28.0%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	27.0%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
✓	30.1%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
✓	1.8%	(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
✓	26.3%	(log.f64 (+.f64 x x))
✓	49.2%	x

Compiler

Compiled 1881 to 595 computations (68.4% saved)

regimes32.0ms (0.3%)

Counts

31 → 3

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 14/25 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(.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)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.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))))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.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))))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 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))))))) x))))
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64))))))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x #s(literal -5/112 binary64))))))))))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64)))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64))))))))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (*.f64 x #s(literal -1/40 binary64)))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (.f64 x x)))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64))))) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1600 binary64))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64)))))) (-.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))))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 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))))))) (.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)))))))))) (-.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.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 x (-.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)))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
(/.f64 (+.f64 (.f64 (.f64 (.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))))))) (.f64 x (.f64 (.f64 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))))))) (.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)))))))))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 (+.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)))))) (.f64 x (.f64 x x))) (.f64 (+.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)))))) (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) (.f64 (.f64 (+.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)))))) (.f64 x (*.f64 x x))) x))))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 (log.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 9/2 binary64)))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (-.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (.f64 (.f64 x x) (-.f64 (.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))) (.f64 x (.f64 x (*.f64 x x)))))))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (.f64 (.f64 x x) (-.f64 (.f64 x (pow.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 3/2 binary64))) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))))) (log.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 9/2 binary64)))))
(-.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 x x) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (.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 x) (.f64 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 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (.f64 x x))) (-.f64 (.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 (.f64 x x) (.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64)))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))))) (log.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 9/2 binary64)))))
(/.f64 (-.f64 (.f64 (log.f64 (+.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 (.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 3/2 binary64))))) (.f64 (log1p.f64 (+.f64 (.f64 x x) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log1p.f64 (+.f64 (.f64 x x) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))) (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 x) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))))))

Outputs

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

(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/40 binary64))))) (-.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.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))

Calls

3 calls:

11.0ms	x
9.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
7.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
86.4%	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
86.4%	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

22 → 3

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 14/25 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(.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)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.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))))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.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))))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 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))))))) x))))
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64))))))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x #s(literal -5/112 binary64))))))))))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64)))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64))))))))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (*.f64 x #s(literal -1/40 binary64)))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (.f64 x x)))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64))))) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1600 binary64))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64)))))) (-.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))))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 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))))))) (.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)))))))))) (-.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.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 x (-.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)))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))

Outputs

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

(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/40 binary64))))) (-.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.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Counts

21 → 3

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 14/25 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(.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)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.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))))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.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))))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 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))))))) x))))
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64))))))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x #s(literal -5/112 binary64))))))))))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64)))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64))))))))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (*.f64 x #s(literal -1/40 binary64)))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (.f64 x x)))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64))))) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1600 binary64))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64)))))) (-.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))))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 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))))))) (.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)))))))))) (-.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.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 x (-.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)))

Outputs

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

(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/40 binary64))))) (-.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.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.8%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts

20 → 3

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 14/25 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(.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)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.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))))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.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))))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 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))))))) x))))
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64))))))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x #s(literal -5/112 binary64))))))))))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64)))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64))))))))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (*.f64 x #s(literal -1/40 binary64)))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (.f64 x x)))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64))))) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1600 binary64))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64)))))) (-.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))))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 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))))))) (.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)))))))))) (-.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.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))

Outputs

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

(*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/40 binary64))))) (-.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.f64 (+.f64 x x))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes16.0ms (0.2%)

Counts

18 → 2

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 14/25 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(.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)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.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))))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.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))))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 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))))))) x))))
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64))))))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x #s(literal -5/112 binary64))))))))))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64)))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64))))))))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (*.f64 x #s(literal -1/40 binary64)))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (.f64 x x)))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64))))) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1600 binary64))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64)))))) (-.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))))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 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))))))) (.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)))))))))) (-.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.f64 (+.f64 x x))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
73.5%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Accuracy

Total -28.3b remaining (-86.9%)

Threshold costs -28.3b (-86.9%)

Counts

17 → 1

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 14/25 binary64))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(.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)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.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))))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.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))))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 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))))))) x))))
(/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64))))))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64))))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x #s(literal -5/112 binary64))))))))))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64)))))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64))))))))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 x (*.f64 x #s(literal -1/40 binary64)))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (.f64 x x)))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x #s(literal -5/112 binary64))))) (.f64 (*.f64 x x) #s(literal -1/6 binary64))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/1600 binary64))) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x #s(literal -1/40 binary64)))))) (-.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))))))))))
(.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (.f64 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))))))) (.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)))))))))) (-.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))))))))))

Outputs
x

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
49.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch34.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.1027356357516706e-8	1325975.6559152633
13.0ms	-267.3345425633667	-0.026250206165943816

Results

19.0ms

288×

valid

Compiler

Compiled 1028 to 634 computations (38.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-add: 3.0ms (25.9% of total)

ival-log: 3.0ms (25.9% of total)

ival-mult: 3.0ms (25.9% of total)

ival-sqrt: 2.0ms (17.3% of total)

const: 0.0ms (0% of total)

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

bsearch34.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.1027356357516706e-8	1325975.6559152633
15.0ms	-267.3345425633667	-0.026250206165943816

Results

19.0ms

288×

valid

Compiler

Compiled 948 to 594 computations (37.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-add: 4.0ms (33.2% of total)

ival-log: 3.0ms (24.9% of total)

ival-mult: 3.0ms (24.9% of total)

ival-sqrt: 2.0ms (16.6% of total)

const: 0.0ms (0% of total)

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

bsearch33.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.1027356357516706e-8	1325975.6559152633
14.0ms	-267.3345425633667	-0.026250206165943816

Results

19.0ms

288×

valid

Compiler

Compiled 900 to 562 computations (37.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-log: 4.0ms (32% of total)

ival-add: 3.0ms (24% of total)

ival-mult: 3.0ms (24% of total)

ival-sqrt: 2.0ms (16% of total)

const: 0.0ms (0% of total)

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

bsearch35.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.1027356357516706e-8	1325975.6559152633
13.0ms	-267.3345425633667	-0.026250206165943816

Results

20.0ms

288×

valid

Compiler

Compiled 860 to 522 computations (39.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-add: 4.0ms (31.6% of total)

ival-log: 3.0ms (23.7% of total)

ival-mult: 3.0ms (23.7% of total)

ival-sqrt: 2.0ms (15.8% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.1027356357516706e-8	1325975.6559152633

Results

10.0ms

160×

valid

Compiler

Compiled 104 to 70 computations (32.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-add: 2.0ms (31.2% of total)

ival-log: 2.0ms (31.2% of total)

ival-mult: 1.0ms (15.6% of total)

ival-sqrt: 1.0ms (15.6% of total)

const: 0.0ms (0% of total)

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

simplify32.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

56×	`*-commutative_binary64`
54×	`+-commutative_binary64`
40×	`sub-neg_binary64`
36×	`neg-sub0_binary64`
36×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	264
1	94	264
2	123	264
3	151	264
4	185	264
5	205	264
6	224	264
7	237	264
8	243	264
9	246	264
10	247	264

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)) (if (<=.f64 x #s(literal 5/4 binary64)) (.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.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.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -3039929748475085/2251799813685248 binary64)) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)) (if (<=.f64 x #s(literal 5/4 binary64)) (.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.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.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -3715469692580659/2251799813685248 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 5/4 binary64)) (.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.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.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -3715469692580659/2251799813685248 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 3715469692580659/2251799813685248 binary64)) (.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.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.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal 5674535530486825/4503599627370496 binary64)) x (log.f64 (+.f64 x x)))
x

Outputs
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)) (if (<=.f64 x #s(literal 5/4 binary64)) (.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.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.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -3039929748475085/2251799813685248 binary64)) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)) (if (<=.f64 x #s(literal 5/4 binary64)) (.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.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.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -3039929748475085/2251799813685248 binary64)) (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal -1/2 binary64)) x)) (if (<=.f64 x #s(literal 5/4 binary64)) (.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.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.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -3715469692580659/2251799813685248 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 5/4 binary64)) (.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.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.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -3715469692580659/2251799813685248 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 3715469692580659/2251799813685248 binary64)) (.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))) (-.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.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal 5674535530486825/4503599627370496 binary64)) x (log.f64 (+.f64 x x)))
x

soundness1.4s (13.6%)

Rules

6284×	`+-lowering-+.f64`
6284×	`+-lowering-+.f32`
4172×	`+-lowering-+.f64`
4172×	`+-lowering-+.f32`
3516×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	371	2305
1	1051	1995
2	3105	1971
0	8129	1971
0	26	101
1	151	91
2	1394	89
0	8290	89
0	122	434
1	355	365
2	1103	351
3	3812	333
0	8439	333
0	7	8
1	13	6
2	14	6
3	15	6
0	15	6
0	485	3313
1	1467	2900
2	4633	2853
0	8545	2853

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×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 845 to 421 computations (50.2% saved)

preprocess85.0ms (0.8%)

Compiler: Compiled 600 to 170 computations (71.7% saved)

Iter	Nodes	Cost
0	14	27
1	34	19
2	64	19
3	114	19
4	252	19
5	455	19
6	661	19
7	799	19
8	830	19
0	7	8
1	13	6
2	14	6
3	15	6
0	15	6

Iter	Nodes	Cost
0	64	264
1	94	264
2	123	264
3	151	264
4	185	264
5	205	264
6	224	264
7	237	264
8	243	264
9	246	264
10	247	264

Iter	Nodes	Cost
0	14	27
1	34	19
2	64	19
3	114	19
4	252	19
5	455	19
6	661	19
7	799	19
8	830	19
0	7	8
1	13	6
2	14	6
3	15	6
0	15	6

Iter	Nodes	Cost
0	64	264
1	94	264
2	123	264
3	151	264
4	185	264
5	205	264
6	224	264
7	237	264
8	243	264
9	246	264
10	247	264

analyze118.0ms (1.2%)

sample2.9s (28.3%)

preprocess26.0ms (0.3%)

explain195.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize154.0ms (1.5%)

series4.0ms (0%)

rewrite318.0ms (3.1%)

simplify251.0ms (2.5%)

eval46.0ms (0.5%)

prune80.0ms (0.8%)

simplify87.0ms (0.9%)

localize112.0ms (1.1%)

series67.0ms (0.7%)

rewrite294.0ms (2.9%)

simplify220.0ms (2.2%)

eval71.0ms (0.7%)

prune66.0ms (0.6%)

simplify251.0ms (2.5%)

localize582.0ms (5.7%)

series32.0ms (0.3%)

rewrite314.0ms (3.1%)

simplify319.0ms (3.1%)

eval116.0ms (1.1%)

prune116.0ms (1.1%)

simplify213.0ms (2.1%)

localize430.0ms (4.2%)

series67.0ms (0.7%)

rewrite344.0ms (3.4%)

simplify297.0ms (2.9%)

eval170.0ms (1.7%)

prune168.0ms (1.7%)

regimes32.0ms (0.3%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes16.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch34.0ms (0.3%)

bsearch34.0ms (0.3%)

bsearch33.0ms (0.3%)

bsearch35.0ms (0.3%)

bsearch18.0ms (0.2%)

simplify32.0ms (0.3%)

soundness1.4s (13.6%)

preprocess85.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	27
1	34	19
2	64	19
3	114	19
4	252	19
5	455	19
6	661	19
7	799	19
8	830	19
0	7	8
1	13	6
2	14	6
3	15	6
0	15	6

Iter	Nodes	Cost
0	64	264
1	94	264
2	123	264
3	151	264
4	185	264
5	205	264
6	224	264
7	237	264
8	243	264
9	246	264
10	247	264