Metrics for Hyperbolic arcsine

analyze124.0ms (1.3%)

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: 55.0ms

ival-sqrt: 20.0ms (36.3% of total)

ival-log: 14.0ms (25.4% of total)

ival-add: 12.0ms (21.8% of total)

ival-mult: 8.0ms (14.5% of total)

const: 1.0ms (1.8% of total)

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

sample2.3s (23.3%)

Results

1.1s	2729×	2	valid
693.0ms	3379×	1	valid
173.0ms	2148×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-log: 715.0ms (47.4% of total)

ival-add: 236.0ms (15.6% of total)

ival-mult: 196.0ms (13% of total)

backward-pass: 196.0ms (13% of total)

ival-sqrt: 147.0ms (9.7% of total)

const: 18.0ms (1.2% of total)

Bogosity

preprocess28.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain214.0ms (2.2%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
132	-	-	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
66	-	-	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
53	-	-	`(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

97.0ms	180×	2	valid
56.0ms	212×	1	valid
10.0ms	120×	0	valid

Compiler

Compiled 80 to 23 computations (71.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 119.0ms

ival-log: 51.0ms (42.7% of total)

ival-add: 33.0ms (27.6% of total)

ival-mult: 13.0ms (10.9% of total)

ival-sqrt: 11.0ms (9.2% of total)

backward-pass: 10.0ms (8.4% of total)

const: 1.0ms (0.8% 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
▶	28.0%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize178.0ms (1.8%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(hypot.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))

Results

112.0ms	197×	5	exit
47.0ms	59×	0	valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

ival-log: 85.0ms (58.4% of total)

compiled-spec: 21.0ms (14.4% of total)

backward-pass: 17.0ms (11.7% of total)

ival-add: 9.0ms (6.2% of total)

ival-mult: 9.0ms (6.2% of total)

ival-sqrt: 4.0ms (2.7% of total)

const: 1.0ms (0.7% 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))))

rewrite340.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 139

Calls

Call 1

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

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

simplify234.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

eval29.0ms (0.3%)

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

prune70.0ms (0.7%)

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
	26.2%	(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
▶	52.5%	(.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))))))))
	53.8%	(.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)))))))
▶	52.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
	28.0%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
▶	26.9%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
	25.9%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
▶	26.2%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
	22.0%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))
	23.0%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
✓	28.0%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
	21.9%	(log.f64 (+.f64 x x))
▶	54.4%	x

Compiler

Compiled 275 to 189 computations (31.3% saved)

simplify95.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

2276×	`fma-define`
1752×	`fma-lowering-fma.f32`
1752×	`fma-lowering-fma.f64`
614×	`-lowering-.f32`
614×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	175
1	68	161
2	213	157
3	637	157
4	1433	157
5	2201	157
6	2538	157
7	2548	157
8	2548	157
9	2557	157
0	2557	157

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/6 (* x x))))
x
(+ 1 (* -1/6 (* x x)))
1
(* -1/6 (* x x))
-1/6
(* x x)
(* 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 (/ (+ -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

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

localize116.0ms (1.2%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
✓	accuracy	99.6%	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	accuracy	100.0%	(.f64 x (+.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 (.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	99.9%	(.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
✓	accuracy	99.9%	(.f64 #s(literal -1/6 binary64) (.f64 x x))

Results

54.0ms	190×	0	invalid
21.0ms	66×	0	valid

Compiler

Compiled 177 to 25 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 16.0ms (34% of total)

...c/correct-round.rkt:119:19: 13.0ms (27.6% of total)

ival-div: 6.0ms (12.7% of total)

ival-add: 6.0ms (12.7% of total)

ival-log: 5.0ms (10.6% of total)

const: 1.0ms (2.1% of total)

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

series97.0ms (1%)

Counts

15 → 180

Calls

Call 1

Inputs
#<alt (* x (+ 1 (* -1/6 (* x x))))>
#<alt (+ 1 (* -1/6 (* x x)))>
#<alt (* -1/6 (* x x))>
#<alt (* x x)>
#<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 (log (/ -1/2 x))>
#<alt (/ -1/2 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 x) (+ 3/40 (* (* x x) -5/112)))>
#<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 (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 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 (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (+ (log 1/8) (* -3 (log x)))>
#<alt (+ (log 1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))>
#<alt (+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))>
#<alt (+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (- (+ (log -1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ 1/8 (pow x 3))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))>
#<alt -1/2>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt -1/2>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (* 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 (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
34.0ms	x	@	0	(log (/ -1/2 x))
24.0ms	x	@	inf	(* x (+ 1 (* -1/6 (* x x))))
22.0ms	x	@	-inf	(log (/ -1/2 x))
7.0ms	x	@	inf	(log (/ -1/2 x))
1.0ms	x	@	inf	(* x (+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))))))

rewrite412.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3250×	`/-lowering-/.f32`
3250×	`/-lowering-/.f64`
3202×	`-lowering-.f32`
3202×	`-lowering-.f64`
2220×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	135
1	160	121
2	1442	117
0	8252	117

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 487

Calls

Call 1

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

Outputs
(+.f64 x (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))))))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x)
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) x x)
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x) 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 x (.f64 x #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 x (.f64 x x))) (.f64 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 x (.f64 x #s(literal -1/6 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 x (.f64 x x))) (.f64 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 #s(literal -1/216 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))))) (-.f64 x (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64))))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #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 (.f64 #s(literal -1/216 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #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 #s(literal -1/216 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))) (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))))) (neg.f64 (-.f64 x (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #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)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) x)) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #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)) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))) x)
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 #s(literal -1/216 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))))) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))))))))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) #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 (.f64 #s(literal -1/216 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) #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 x (.f64 x #s(literal -1/6 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #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 x (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #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 x (.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) x #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 x (.f64 x #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) #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 (.f64 #s(literal -1/216 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #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 (.f64 #s(literal -1/216 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 x (.f64 x x))) (.f64 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 x (.f64 x #s(literal -1/6 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 x (.f64 x x))) (.f64 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 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (+.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 x (.f64 x #s(literal -1/6 binary64))) #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 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/216 binary64) (.f64 x (.f64 x x))) (.f64 x (.f64 x x)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))))))
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(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) (.f64 (.f64 x x) #s(literal 3/40 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64))))) (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))
(fma.f64 x (.f64 x #s(literal 3/40 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))
(fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64))) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(fma.f64 x (.f64 (.f64 x #s(literal -5/112 binary64)) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(fma.f64 (.f64 x x) #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -5/112 binary64)) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(fma.f64 #s(literal 3/40 binary64) (.f64 x x) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))
(fma.f64 #s(literal -5/112 binary64) (.f64 (.f64 x x) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal -5/112 binary64)) (.f64 x x) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(fma.f64 (.f64 x (.f64 x x)) (.f64 x #s(literal -5/112 binary64)) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -5/112 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(fma.f64 (.f64 #s(literal 3/40 binary64) x) x (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))
(fma.f64 (.f64 (.f64 (.f64 x x) #s(literal -5/112 binary64)) x) x (.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) (.f64 (.f64 x x) #s(literal 3/40 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64))))))) (+.f64 (.f64 #s(literal 27/64000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -125/1404928 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64))))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) (.f64 (.f64 x x) #s(literal 3/40 binary64))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9/1600 binary64) (.f64 (.f64 (.f64 x x) #s(literal -5/112 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal -5/112 binary64)) #s(literal -3/40 binary64)))) (.f64 (.f64 x x) (+.f64 #s(literal 27/64000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))) #s(literal -125/1404928 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))) (.f64 (.f64 x x) (-.f64 #s(literal 9/1600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 25/12544 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9/1600 binary64) (.f64 (.f64 (.f64 x x) #s(literal -5/112 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal -5/112 binary64)) #s(literal -3/40 binary64)))) (.f64 (+.f64 #s(literal 27/64000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -125/1404928 binary64))) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))) (.f64 (-.f64 #s(literal 9/1600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 25/12544 binary64))) (.f64 x x))))
(/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal 27/64000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -125/1404928 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) (.f64 (.f64 x x) #s(literal 3/40 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) (.f64 (.f64 x x) #s(literal 3/40 binary64))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64))))))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 27/64000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -125/1404928 binary64)))) (+.f64 #s(literal 9/1600 binary64) (.f64 (.f64 (.f64 x x) #s(literal -5/112 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal -5/112 binary64)) #s(literal -3/40 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 9/1600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 25/12544 binary64)))) (-.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))
(/.f64 (.f64 (+.f64 #s(literal 27/64000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -125/1404928 binary64))) (.f64 x x)) (+.f64 #s(literal 9/1600 binary64) (.f64 (.f64 (.f64 x x) #s(literal -5/112 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal -5/112 binary64)) #s(literal -3/40 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 9/1600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 25/12544 binary64))) (.f64 x x)) (-.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 27/64000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -125/1404928 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) (.f64 (.f64 x x) #s(literal 3/40 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) (.f64 (.f64 x x) #s(literal 3/40 binary64))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64))))))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (+.f64 #s(literal 27/64000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -125/1404928 binary64))))) (neg.f64 (+.f64 #s(literal 9/1600 binary64) (.f64 (.f64 (.f64 x x) #s(literal -5/112 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal -5/112 binary64)) #s(literal -3/40 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 #s(literal 9/1600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 25/12544 binary64))))) (neg.f64 (-.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 27/64000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -125/1404928 binary64))) (.f64 x x))) (neg.f64 (+.f64 #s(literal 9/1600 binary64) (.f64 (.f64 (.f64 x x) #s(literal -5/112 binary64)) (+.f64 (.f64 (*.f64 x x) #s(literal -5/112 binary64)) #s(literal -3/40 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 9/1600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 25/12544 binary64))) (.f64 x x))) (neg.f64 (-.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))
(/.f64 (+.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -125/1404928 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 #s(literal 27/64000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64))))) (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) (.f64 (.f64 x x) #s(literal 3/40 binary64))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64)))) (.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
(.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))
(.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))
(.f64 (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))) (.f64 x x))
(.f64 (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))) x)
(.f64 (+.f64 (.f64 #s(literal 27/64000 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -125/1404928 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) (.f64 (.f64 x x) #s(literal 3/40 binary64))) (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64))))) (.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64)))))))))
(.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) (.f64 (.f64 x x) #s(literal 3/40 binary64))) (.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64)))) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) (.f64 x (.f64 x (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))
(.f64 (.f64 (.f64 x x) (+.f64 #s(literal 27/64000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -125/1404928 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/1600 binary64) (.f64 (.f64 (.f64 x x) #s(literal -5/112 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal -5/112 binary64)) #s(literal -3/40 binary64))))))
(.f64 (.f64 (.f64 x x) (-.f64 #s(literal 9/1600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 25/12544 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))
(.f64 (.f64 (+.f64 #s(literal 27/64000 binary64) (.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) #s(literal -125/1404928 binary64))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9/1600 binary64) (.f64 (.f64 (.f64 x x) #s(literal -5/112 binary64)) (+.f64 (.f64 (.f64 x x) #s(literal -5/112 binary64)) #s(literal -3/40 binary64))))))
(.f64 (.f64 (-.f64 #s(literal 9/1600 binary64) (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 25/12544 binary64))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))
(.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)

simplify274.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

3434×	`+-lowering-+.f64`
3434×	`+-lowering-+.f32`
3280×	`-lowering-.f32`
3280×	`-lowering-.f64`
1320×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	1423
1	367	1355
2	1058	1321
3	3270	1317
0	8350	1317

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

eval125.0ms (1.3%)

Compiler: Compiled 20815 to 2020 computations (90.3% saved)

prune76.0ms (0.8%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	754	5	759
Fresh	2	5	7
Picked	0	5	5
Done	0	1	1
Total	756	16	772

Accuracy

100.0%

Counts

772 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	19.0%	(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))) (.f64 x (.f64 x 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 (.f64 x 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 (.f64 x 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 (.f64 x x) #s(literal -5/112 binary64))))) (.f64 x (*.f64 x x))) x))))
	52.3%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))) x) (-.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)))))))))
▶	52.3%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
✓	52.5%	(.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))))))))
▶	53.8%	(.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))))))
✓	52.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
	26.2%	(neg.f64 (log.f64 (/.f64 x #s(literal -1/2 binary64))))
	28.0%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
✓	26.9%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
▶	25.9%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
✓	26.2%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
	22.0%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))
▶	23.0%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
✓	28.0%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
▶	21.9%	(log.f64 (+.f64 x x))
✓	54.4%	x

Compiler

Compiled 629 to 248 computations (60.6% saved)

simplify83.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Rules

896×	`fma-define`
676×	`fma-lowering-fma.f32`
676×	`fma-lowering-fma.f64`
496×	`-lowering-.f32`
496×	`-lowering-.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	214
1	81	188
2	187	186
3	427	185
4	621	185
5	756	185
6	866	185
7	964	185
8	1137	185
9	1295	185
10	1301	185
11	1302	185
0	1302	185

Stop Event

1×	iter limit
1×	saturated

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

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

localize199.0ms (2%)

Localize:

Found 18 expressions of interest:

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

Results

154.0ms

256×

invalid

Compiler

Compiled 234 to 35 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-mult: 57.0ms (51.9% of total)

ival-div: 29.0ms (26.4% of total)

ival-add: 9.0ms (8.2% of total)

ival-log: 7.0ms (6.4% of total)

...c/correct-round.rkt:119:19: 7.0ms (6.4% of total)

const: 1.0ms (0.9% of total)

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

series67.0ms (0.7%)

Counts

22 → 264

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 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 (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 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 (* (pow x 2) (+ 1/6 (* 1/36 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/36 (* 1/216 (pow x 2)))))))>
#<alt (/ -6 (pow x 2))>
#<alt (* -1 (/ (+ 6 (* 36 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 36 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -6 (pow x 2))>
#<alt (* -1 (/ (+ 6 (* 36 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 36 (/ 1 (pow x 2))))) (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 (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* 4 (pow x 2))))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* -8 (pow x 2))))))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 64/3 (pow x 2)) 8))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 2 (pow x 2))) x)>
#<alt (/ (+ 1/2 (* 2 (pow x 2))) x)>
#<alt (/ (+ 1/2 (* 2 (pow x 2))) x)>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (+ (log -1/16) (* -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 (/ -1/16 (pow x 4))>
#<alt (/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))>
#<alt (/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))>
#<alt (/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (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 (* 3/40 (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 (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>

Calls

66 calls:

Time	Variable		Point	Expression
31.0ms	x	@	-inf	(log (+ x x))
14.0ms	x	@	0	(log (+ x x))
9.0ms	x	@	inf	(log (+ x x))
1.0ms	x	@	0	(log (/ (+ -1/2 (+ (/ 1/8 (* x x)) (/ -1/16 (* x (* x (* x x)))))) x))
0.0ms	x	@	inf	(log (/ (+ -1/2 (+ (/ 1/8 (* x x)) (/ -1/16 (* x (* x (* x x)))))) x))

rewrite159.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1242×	`-lowering-.f32`
1242×	`-lowering-.f64`
992×	`/-lowering-/.f32`
992×	`/-lowering-/.f64`
516×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	171
1	211	147
0	2488	147

Stop Event

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

Counts

22 → 673

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

Outputs
(+.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64)))))))
(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 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 x (*.f64 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 x (*.f64 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 x (.f64 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 x (.f64 x #s(literal 3/40 binary64)))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))))) (.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 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 x (.f64 x #s(literal 3/40 binary64)))))) (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))))))) (-.f64 x (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 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 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) #s(literal 1 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 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 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))))))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))))) x) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64)))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64)))))) x)
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(fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal -1/16 binary64) x) (.f64 x (*.f64 x x))))
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(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) x) (.f64 x (*.f64 x #s(literal -1/16 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) (.f64 x (.f64 x x))) (-.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) (.f64 x (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))) (+.f64 (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) (.f64 x (.f64 x x))) (/.f64 #s(literal 1/256 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal -1/16 binary64) x) (.f64 x (.f64 x x)))) (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/256 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))))
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(/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (.f64 x x)))) (.f64 (.f64 x x) #s(literal 1/16 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
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(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/8 binary64) x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x #s(literal -1/16 binary64))) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
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(/.f64 (+.f64 (.f64 (/.f64 #s(literal 1/8 binary64) x) (.f64 x (.f64 x x))) (.f64 x (/.f64 #s(literal -1/16 binary64) x))) (.f64 x (.f64 x (*.f64 x x))))
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(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x (/.f64 (.f64 x (.f64 x x)) #s(literal -1/16 binary64))) #s(literal 1/8 binary64))) (.f64 (.f64 x (/.f64 (.f64 x (.f64 x x)) #s(literal -1/16 binary64))) (*.f64 x x)))
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(/.f64 (+.f64 x (.f64 (.f64 x (/.f64 (.f64 x (.f64 x x)) #s(literal -1/16 binary64))) (/.f64 #s(literal 1/8 binary64) x))) (.f64 (.f64 x (/.f64 (.f64 x (.f64 x x)) #s(literal -1/16 binary64))) x))
(/.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 x x) #s(literal 1/8 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))) (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (*.f64 x x) #s(literal 1/8 binary64))))
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(/.f64 (+.f64 (.f64 (/.f64 #s(literal -1/16 binary64) x) (/.f64 (.f64 x x) #s(literal 1/8 binary64))) (.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64))) (.f64 (.f64 x (.f64 x x)) (/.f64 (*.f64 x x) #s(literal 1/8 binary64))))
(/.f64 (+.f64 (.f64 (/.f64 #s(literal -1/16 binary64) x) (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 (.f64 x (.f64 x x)) (*.f64 x x)))
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(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) (.f64 x (.f64 x x))) (/.f64 #s(literal 1/256 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))) (neg.f64 (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) (.f64 x (.f64 x x))) (-.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) (.f64 x (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/256 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (neg.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal -1/16 binary64) x) (.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (/.f64 #s(literal 1/256 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) (.f64 x (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x))) x) (.f64 x (.f64 x #s(literal -1/16 binary64)))) (.f64 x x)) (.f64 x (.f64 x (.f64 x x))))
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(.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) (.f64 x (.f64 x x))) (/.f64 #s(literal 1/256 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) (.f64 x (.f64 x x))) (-.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) (.f64 x (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))))
(.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/256 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 (/.f64 #s(literal -1/16 binary64) x) (.f64 x (.f64 x x))))))
(.f64 x (.f64 x #s(literal 3/40 binary64)))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(.f64 #s(literal 3/40 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal 3/40 binary64)) x)
(*.f64 x #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) x)

simplify502.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

2380×	`+-lowering-+.f64`
2380×	`+-lowering-+.f32`
2370×	`-lowering-.f32`
2370×	`-lowering-.f64`
2064×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	224	1966
1	624	1873
2	1959	1831
3	6437	1831
0	8101	1831

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

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)))))
(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)
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 (* (pow x 2) (+ 1/6 (* 1/36 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/36 (* 1/216 (pow x 2)))))))
(/ -6 (pow x 2))
(* -1 (/ (+ 6 (* 36 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))
(/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 36 (/ 1 (pow x 2))))) (pow x 2))
(/ -6 (pow x 2))
(* -1 (/ (+ 6 (* 36 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))
(/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 36 (/ 1 (pow x 2))))) (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))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (+ (* -1 (log x)) (* 4 (pow x 2))))
(+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* -8 (pow x 2))))))
(+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 64/3 (pow x 2)) 8))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))
(/ 1/2 x)
(/ (+ 1/2 (* 2 (pow x 2))) x)
(/ (+ 1/2 (* 2 (pow x 2))) x)
(/ (+ 1/2 (* 2 (pow x 2))) x)
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(+ (log -1/16) (* -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))))
(/ -1/16 (pow x 4))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))
(/ 1/8 (pow x 2))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/ 1/8 (pow x 2))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (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))
(* 3/40 (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)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)

Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 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) (- (* 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))))))
(* 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 x (.f64 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 x (.f64 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))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 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))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 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 (.f64 x 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 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64)))))
(* 3/40 (pow x 4))
(.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x))))
(* 3/40 (pow x 4))
(.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(.f64 (+.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 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 (.f64 x 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 (.f64 x 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 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64))))
(* 3/40 (pow x 4))
(.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 x (.f64 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 x (.f64 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 x (.f64 x (*.f64 x x))))
(* 3/40 (pow x 4))
(.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))
(* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 x (.f64 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 x (.f64 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 x (.f64 x (*.f64 x x))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
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 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* -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 x (*.f64 x #s(literal -1/6 binary64)))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* -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 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow x 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(+ 1 (* (pow x 2) (+ 1/6 (* 1/36 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) #s(literal 1/36 binary64))))))
(+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/36 (* 1/216 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal 1/216 binary64)))))))
(/ -6 (pow x 2))
(/.f64 #s(literal -6 binary64) (*.f64 x x))
(* -1 (/ (+ 6 (* 36 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -36 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* -1 (/ (+ 36 (* 216 (/ 1 (pow x 2)))) (pow x 2))) 6) (pow x 2))
(/.f64 (+.f64 #s(literal -6 binary64) (/.f64 (+.f64 #s(literal -36 binary64) (/.f64 #s(literal -216 binary64) (.f64 x x))) (.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 216 (* 1296 (/ 1 (pow x 2)))) (pow x 4))) (+ 6 (* 36 (/ 1 (pow x 2))))) (pow x 2))
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(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x))
(/ (- 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* -1/6 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))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))

eval113.0ms (1.1%)

Compiler: Compiled 17399 to 2003 computations (88.5% saved)

prune88.0ms (0.9%)

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	981	4	985
Fresh	0	5	5
Picked	3	2	5
Done	1	5	6
Total	985	16	1001

Accuracy

100.0%

Counts

1001 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	19.0%	(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))) (.f64 x (.f64 x 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 (.f64 x 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 (.f64 x 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 (.f64 x x) #s(literal -5/112 binary64))))) (.f64 x (*.f64 x x))) x))))
▶	52.3%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))) x) (-.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)))))))))
▶	54.4%	(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
▶	53.8%	(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64)))))) x)
	53.2%	(.f64 x (+.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 3/40 binary64))))) #s(literal 1 binary64))))
✓	52.5%	(.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))))))))
	26.2%	(neg.f64 (log.f64 (/.f64 x #s(literal -1/2 binary64))))
	28.0%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
	26.1%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x))) x))
✓	26.9%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
✓	26.2%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
▶	22.0%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))
✓	23.0%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
✓	28.0%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
✓	21.9%	(log.f64 (+.f64 x x))
✓	54.4%	x

Compiler

Compiled 633 to 251 computations (60.3% saved)

simplify184.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))) (.f64 x (*.f64 x x))) x))
✓	cost-diff	256	(+.f64 (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x)))
✓	cost-diff	1408	(+.f64 (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))) (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))) (.f64 x (.f64 x x)))) (-.f64 (.f64 x x) (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))) (.f64 x (.f64 x x))) x)))
✓	cost-diff	1664	(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))) (.f64 x (.f64 x 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 (.f64 x 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 (.f64 x 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 (.f64 x x) #s(literal -5/112 binary64))))) (.f64 x (*.f64 x 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	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x))
✓	cost-diff	0	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))))
✓	cost-diff	0	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))) x)
✓	cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))) x) (-.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)))))))))
✓	cost-diff	0	(.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64)))))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64))))))
✓	cost-diff	0	(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64)))))) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 1/6 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	cost-diff	0	(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))

Rules

4024×	`+-lowering-+.f64`
4024×	`+-lowering-+.f32`
3564×	`-lowering-.f32`
3564×	`-lowering-.f64`
1336×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	1010
1	165	752
2	720	725
3	4441	713
0	8519	713

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize272.0ms (2.8%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (.f64 x x) #s(literal -5/112 binary64))
✓	accuracy	99.8%	(.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))))))
✓	accuracy	88.3%	(+.f64 (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))) (.f64 x (.f64 x x))) (.f64 x (*.f64 x x)))
✓	accuracy	62.8%	(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))) (.f64 x (.f64 x 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 (.f64 x 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 (.f64 x 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 (.f64 x x) #s(literal -5/112 binary64))))) (.f64 x (*.f64 x x))) x))))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
✓	accuracy	99.6%	(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
✓	accuracy	83.4%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))
✓	accuracy	99.9%	(.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))))
✓	accuracy	99.9%	(.f64 (.f64 x x) #s(literal -5/112 binary64))
✓	accuracy	99.8%	(.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))))))
✓	accuracy	81.8%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))) x) (-.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)))))))))
✓	accuracy	99.9%	(.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64))))))
✓	accuracy	99.9%	(.f64 x (.f64 x #s(literal 3/40 binary64)))
✓	accuracy	99.8%	(*.f64 x #s(literal 3/40 binary64))
✓	accuracy	99.8%	(.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 (.f64 x x) #s(literal 1/6 binary64))
✓	accuracy	92.0%	(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))

Results

74.0ms	133×	0	invalid
67.0ms	123×	0	valid

Compiler

Compiled 1064 to 48 computations (95.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-mult: 33.0ms (41.8% of total)

...c/correct-round.rkt:119:19: 19.0ms (24.1% of total)

ival-add: 11.0ms (13.9% of total)

ival-div: 9.0ms (11.4% of total)

ival-sub: 4.0ms (5.1% of total)

ival-log: 3.0ms (3.8% of total)

const: 1.0ms (1.3% of total)

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

series19.0ms (0.2%)

Counts

25 → 300

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/36 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/36 (* -1/216 (pow x 2)))) 1/6))))>
#<alt (/ 6 x)>
#<alt (/ (- 6 (* 36 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 6 (/ 216 (pow x 4))) (* 36 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 6 (/ 216 (pow x 4))) (+ (* 36 (/ 1 (pow x 2))) (* 1296 (/ 1 (pow x 6))))) x)>
#<alt (/ 6 x)>
#<alt (* -1 (/ (- (* 36 (/ 1 (pow x 2))) 6) x))>
#<alt (* -1 (/ (- (* 36 (/ 1 (pow x 2))) (+ 6 (/ 216 (pow x 4)))) x))>
#<alt (* -1 (/ (- (+ (* 36 (/ 1 (pow x 2))) (* 1296 (/ 1 (pow x 6)))) (+ 6 (/ 216 (pow x 4)))) x))>
#<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) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (/ 1 (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 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 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 (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (* 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 (* 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- 3/40 (* 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)))>
#<alt (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))>
#<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 x>
#<alt (* x (+ 1 (* -1/36 (pow x 4))))>
#<alt (* x (+ 1 (* (pow x 4) (- (* 1/40 (pow x 2)) 1/36))))>
#<alt (* x (+ 1 (* (pow x 4) (- (* (pow x 2) (+ 1/40 (* -689/33600 (pow x 2)))) 1/36))))>
#<alt (* -25/12544 (pow x 13))>
#<alt (* (pow x 13) (- (* 3/448 (/ 1 (pow x 2))) 25/12544))>
#<alt (* (pow x 13) (- (* 3/448 (/ 1 (pow x 2))) (+ 25/12544 (/ 689/33600 (pow x 4)))))>
#<alt (* (pow x 13) (- (+ (* 3/448 (/ 1 (pow x 2))) (* 1/40 (/ 1 (pow x 6)))) (+ 25/12544 (/ 689/33600 (pow x 4)))))>
#<alt (* -25/12544 (pow x 13))>
#<alt (* -1 (* (pow x 13) (- 25/12544 (* 3/448 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 13) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (* 3/448 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 13) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (+ (* 3/448 (/ 1 (pow x 2))) (* 1/40 (/ 1 (pow x 6)))))))>
#<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 -1/8) (* -3 (log x)))>
#<alt (+ (log -1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -24 (pow x 2)) 4))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -256/3 (pow x 2)) 24)) 4))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* 2 (pow x 2)))) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* 2 (pow x 2)))) 1/8) (pow x 3))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ 1/2 x)>
#<alt (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (* -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 (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/6 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* -17/360 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 11/560 (pow x 2)) 17/360))))))>
#<alt (* 25/12544 (pow x 14))>
#<alt (* (pow x 14) (- 25/12544 (* 3/448 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (* 3/448 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (- (+ 25/12544 (+ (/ 689/33600 (pow x 4)) (* 11/560 (/ 1 (pow x 6))))) (* 3/448 (/ 1 (pow x 2)))))>
#<alt (* 25/12544 (pow x 14))>
#<alt (* (pow x 14) (- 25/12544 (* 3/448 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (* 3/448 (/ 1 (pow x 2)))))>
#<alt (* (pow x 14) (- (+ 25/12544 (+ (/ 689/33600 (pow x 4)) (* 11/560 (/ 1 (pow x 6))))) (* 3/448 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (* -1/216 (pow x 6))))>
#<alt (* (pow x 3) (+ 1 (* (pow x 6) (- (* 1/160 (pow x 2)) 1/216))))>
#<alt (* (pow x 3) (+ 1 (* (pow x 6) (- (* (pow x 2) (+ 1/160 (* -439/67200 (pow x 2)))) 1/216))))>
#<alt (* -125/1404928 (pow x 21))>
#<alt (* (pow x 21) (- (* 45/100352 (/ 1 (pow x 2))) 125/1404928))>
#<alt (* (pow x 21) (- (* 45/100352 (/ 1 (pow x 2))) (+ 125/1404928 (/ 439/250880 (pow x 4)))))>
#<alt (* (pow x 21) (- (+ (* 45/100352 (/ 1 (pow x 2))) (* 1689/448000 (/ 1 (pow x 6)))) (+ 125/1404928 (/ 439/250880 (pow x 4)))))>
#<alt (* -125/1404928 (pow x 21))>
#<alt (* -1 (* (pow x 21) (- 125/1404928 (* 45/100352 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 21) (- (+ 125/1404928 (/ 439/250880 (pow x 4))) (* 45/100352 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 21) (- (+ 125/1404928 (/ 439/250880 (pow x 4))) (+ (* 45/100352 (/ 1 (pow x 2))) (* 1689/448000 (/ 1 (pow x 6)))))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 1/6 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40))))))>
#<alt (* 5/112 (pow x 8))>
#<alt (* (pow x 8) (- 5/112 (* 3/40 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 5/112 (+ (/ 1/6 (pow x 4)) (/ 1 (pow x 6)))) (* 3/40 (/ 1 (pow x 2)))))>
#<alt (* 5/112 (pow x 8))>
#<alt (* (pow x 8) (- 5/112 (* 3/40 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2)))))>
#<alt (* (pow x 8) (- (+ 5/112 (+ (/ 1/6 (pow x 4)) (/ 1 (pow x 6)))) (* 3/40 (/ 1 (pow x 2)))))>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 x)>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* 3/40 (pow x 2))>
#<alt (* -1/6 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 (* -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 (* 1/36 (pow x 2))>
#<alt (* (pow x 2) (+ 1/36 (* -1/40 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/36 (* (pow x 2) (- (* 689/33600 (pow x 2)) 1/40))))>
#<alt (* (pow x 2) (+ 1/36 (* (pow x 2) (- (* (pow x 2) (+ 689/33600 (* -3/448 (pow x 2)))) 1/40))))>
#<alt (* 25/12544 (pow x 10))>
#<alt (* (pow x 10) (- 25/12544 (* 3/448 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (* 3/448 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (+ (* 3/448 (/ 1 (pow x 2))) (* 1/40 (/ 1 (pow x 6))))))>
#<alt (* 25/12544 (pow x 10))>
#<alt (* (pow x 10) (- 25/12544 (* 3/448 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (* 3/448 (/ 1 (pow x 2)))))>
#<alt (* (pow x 10) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (+ (* 3/448 (/ 1 (pow x 2))) (* 1/40 (/ 1 (pow x 6))))))>
#<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))>

Calls

75 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (+ (* (* (* x (* x (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))))) (* (* x 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 x))) (* x (* x x))) (+ (* (* (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))) (* x (* x x))) (* (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))) (* x (* x x)))) (- (* x x) (* (* (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))) (* x (* x x))) x))))
0.0ms	x	@	0	(log (+ (* x 2) (/ (+ 1/2 (/ -1/8 (* x x))) x)))
0.0ms	x	@	inf	(/ (* (- 1 (* (* x x) (* (* x (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112))))) (* 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))))))))
0.0ms	x	@	0	(/ x (+ 1 (* (* x x) 1/6)))
0.0ms	x	@	inf	(log (+ (* x 2) (/ (+ 1/2 (/ -1/8 (* x x))) x)))

rewrite356.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4018×	`-lowering-.f32`
4018×	`-lowering-.f64`
2046×	`pow-lowering-pow.f64`
2046×	`pow-lowering-pow.f32`
1610×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	452
1	348	342
2	3491	336
0	8583	336

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 418

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))) x)) #s(literal -1 binary64)))
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))))
(/.f64 (.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) x)
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/216 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/216 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/216 binary64))) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/216 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))) #s(literal 1/216 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x)))))) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(.f64 x (.f64 x #s(literal 1/6 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(.f64 (.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(+.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (*.f64 x x))))
(+.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (*.f64 x x))) x)
(-.f64 (/.f64 (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x))))) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x))) x)))
(fma.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) x)
(fma.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) x)
(fma.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 x x) x)
(fma.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x))))) (.f64 x (-.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x))) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x))) x) (.f64 (+.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)))) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x))) x))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x))) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x))))))) (+.f64 (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x))))) (.f64 x (-.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)))))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x))) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x))))))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x))))) (.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (*.f64 x x)))))))
(/.f64 (.f64 (+.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)))) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x))) x)) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x))) x))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x))) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)))))))) (neg.f64 (+.f64 (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x))))) (.f64 x (-.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x))))))))
(/.f64 (neg.f64 (.f64 (+.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)))) (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x))) x))) (neg.f64 (-.f64 (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x))) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64))))) (.f64 (.f64 x x) (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (.f64 x x)))))) (-.f64 x (.f64 (+.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x #s(literal 3/40 binary64)))) (.f64 x (*.f64 x x)))))
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(.f64 (.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 #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 -1/6 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)))))))))
(.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 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 (.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 -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 x (*.f64 x #s(literal -5/112 binary64)))))))
(.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 #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))
(.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 #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 (exp.f64 (log.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))))))))) (exp.f64 (log.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))))))))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x x) #s(literal -1/8 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal -1/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1/8 binary64) x)))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/.f64 #s(literal -1/8 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -1/8 binary64) x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal -1/8 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal -1/8 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal -1/8 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))
(.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal -1/8 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/8 binary64) x))
(*.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 #s(literal 1 binary64) x))

simplify301.0ms (3%)

Algorithm

1×	egg-herbie

Rules

5660×	`+-lowering-+.f64`
5660×	`+-lowering-+.f32`
4096×	`-lowering-.f32`
4096×	`-lowering-.f64`
1668×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	390	2914
1	1139	2795
2	3542	2729
0	8151	2729

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/36 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/36 (* -1/216 (pow x 2)))) 1/6))))
(/ 6 x)
(/ (- 6 (* 36 (/ 1 (pow x 2)))) x)
(/ (- (+ 6 (/ 216 (pow x 4))) (* 36 (/ 1 (pow x 2)))) x)
(/ (- (+ 6 (/ 216 (pow x 4))) (+ (* 36 (/ 1 (pow x 2))) (* 1296 (/ 1 (pow x 6))))) x)
(/ 6 x)
(* -1 (/ (- (* 36 (/ 1 (pow x 2))) 6) x))
(* -1 (/ (- (* 36 (/ 1 (pow x 2))) (+ 6 (/ 216 (pow x 4)))) x))
(* -1 (/ (- (+ (* 36 (/ 1 (pow x 2))) (* 1296 (/ 1 (pow x 6)))) (+ 6 (/ 216 (pow x 4)))) x))
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) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/6 (/ 1 (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 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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))))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 3/40 (pow x 2)) 1/6))
(* (pow x 3) (- (* 3/40 (pow x 2)) 1/6))
(* (pow x 3) (- (* 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 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- 3/40 (* 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 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -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))))))
x
(* x (+ 1 (* -1/36 (pow x 4))))
(* x (+ 1 (* (pow x 4) (- (* 1/40 (pow x 2)) 1/36))))
(* x (+ 1 (* (pow x 4) (- (* (pow x 2) (+ 1/40 (* -689/33600 (pow x 2)))) 1/36))))
(* -25/12544 (pow x 13))
(* (pow x 13) (- (* 3/448 (/ 1 (pow x 2))) 25/12544))
(* (pow x 13) (- (* 3/448 (/ 1 (pow x 2))) (+ 25/12544 (/ 689/33600 (pow x 4)))))
(* (pow x 13) (- (+ (* 3/448 (/ 1 (pow x 2))) (* 1/40 (/ 1 (pow x 6)))) (+ 25/12544 (/ 689/33600 (pow x 4)))))
(* -25/12544 (pow x 13))
(* -1 (* (pow x 13) (- 25/12544 (* 3/448 (/ 1 (pow x 2))))))
(* -1 (* (pow x 13) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (* 3/448 (/ 1 (pow x 2))))))
(* -1 (* (pow x 13) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (+ (* 3/448 (/ 1 (pow x 2))) (* 1/40 (/ 1 (pow x 6)))))))
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 -1/8) (* -3 (log x)))
(+ (log -1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -24 (pow x 2)) 4))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -256/3 (pow x 2)) 24)) 4))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(/ -1/8 (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (+ 1/2 (* 2 (pow x 2)))) 1/8) (pow x 3))
(/ (- (* (pow x 2) (+ 1/2 (* 2 (pow x 2)))) 1/8) (pow x 3))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ -1/8 (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/ 1/2 x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ 1/2 x)
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
(* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(* -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))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/6 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* -17/360 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 11/560 (pow x 2)) 17/360))))))
(* 25/12544 (pow x 14))
(* (pow x 14) (- 25/12544 (* 3/448 (/ 1 (pow x 2)))))
(* (pow x 14) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (* 3/448 (/ 1 (pow x 2)))))
(* (pow x 14) (- (+ 25/12544 (+ (/ 689/33600 (pow x 4)) (* 11/560 (/ 1 (pow x 6))))) (* 3/448 (/ 1 (pow x 2)))))
(* 25/12544 (pow x 14))
(* (pow x 14) (- 25/12544 (* 3/448 (/ 1 (pow x 2)))))
(* (pow x 14) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (* 3/448 (/ 1 (pow x 2)))))
(* (pow x 14) (- (+ 25/12544 (+ (/ 689/33600 (pow x 4)) (* 11/560 (/ 1 (pow x 6))))) (* 3/448 (/ 1 (pow x 2)))))
(pow x 3)
(* (pow x 3) (+ 1 (* -1/216 (pow x 6))))
(* (pow x 3) (+ 1 (* (pow x 6) (- (* 1/160 (pow x 2)) 1/216))))
(* (pow x 3) (+ 1 (* (pow x 6) (- (* (pow x 2) (+ 1/160 (* -439/67200 (pow x 2)))) 1/216))))
(* -125/1404928 (pow x 21))
(* (pow x 21) (- (* 45/100352 (/ 1 (pow x 2))) 125/1404928))
(* (pow x 21) (- (* 45/100352 (/ 1 (pow x 2))) (+ 125/1404928 (/ 439/250880 (pow x 4)))))
(* (pow x 21) (- (+ (* 45/100352 (/ 1 (pow x 2))) (* 1689/448000 (/ 1 (pow x 6)))) (+ 125/1404928 (/ 439/250880 (pow x 4)))))
(* -125/1404928 (pow x 21))
(* -1 (* (pow x 21) (- 125/1404928 (* 45/100352 (/ 1 (pow x 2))))))
(* -1 (* (pow x 21) (- (+ 125/1404928 (/ 439/250880 (pow x 4))) (* 45/100352 (/ 1 (pow x 2))))))
(* -1 (* (pow x 21) (- (+ 125/1404928 (/ 439/250880 (pow x 4))) (+ (* 45/100352 (/ 1 (pow x 2))) (* 1689/448000 (/ 1 (pow x 6)))))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/6 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2))))))
(* (pow x 2) (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40))))))
(* 5/112 (pow x 8))
(* (pow x 8) (- 5/112 (* 3/40 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 5/112 (+ (/ 1/6 (pow x 4)) (/ 1 (pow x 6)))) (* 3/40 (/ 1 (pow x 2)))))
(* 5/112 (pow x 8))
(* (pow x 8) (- 5/112 (* 3/40 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2)))))
(* (pow x 8) (- (+ 5/112 (+ (/ 1/6 (pow x 4)) (/ 1 (pow x 6)))) (* 3/40 (/ 1 (pow x 2)))))
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 x)
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* 3/40 (pow x 2))
(* -1/6 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))))))
(* -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))
(* 1/36 (pow x 2))
(* (pow x 2) (+ 1/36 (* -1/40 (pow x 2))))
(* (pow x 2) (+ 1/36 (* (pow x 2) (- (* 689/33600 (pow x 2)) 1/40))))
(* (pow x 2) (+ 1/36 (* (pow x 2) (- (* (pow x 2) (+ 689/33600 (* -3/448 (pow x 2)))) 1/40))))
(* 25/12544 (pow x 10))
(* (pow x 10) (- 25/12544 (* 3/448 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (* 3/448 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (+ (* 3/448 (/ 1 (pow x 2))) (* 1/40 (/ 1 (pow x 6))))))
(* 25/12544 (pow x 10))
(* (pow x 10) (- 25/12544 (* 3/448 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (* 3/448 (/ 1 (pow x 2)))))
(* (pow x 10) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (+ (* 3/448 (/ 1 (pow x 2))) (* 1/40 (/ 1 (pow x 6))))))
(/ -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))

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))))
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(*.f64 #s(literal 5/112 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- 5/112 (* 3/40 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 5/112 binary64) (/.f64 #s(literal -3/40 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 5/112 binary64) (/.f64 #s(literal -3/40 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 5/112 (+ (/ 1/6 (pow x 4)) (/ 1 (pow x 6)))) (* 3/40 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 5/112 binary64) (/.f64 #s(literal -3/40 binary64) (*.f64 x x))))))
(* 5/112 (pow x 8))
(*.f64 #s(literal 5/112 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- 5/112 (* 3/40 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 5/112 binary64) (/.f64 #s(literal -3/40 binary64) (.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 5/112 binary64) (/.f64 #s(literal -3/40 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (+ 5/112 (+ (/ 1/6 (pow x 4)) (/ 1 (pow x 6)))) (* 3/40 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 5/112 binary64) (/.f64 #s(literal -3/40 binary64) (*.f64 x x))))))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 x)
(*.f64 x #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* 3/40 (pow x 2))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(* -1/6 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 (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))
(.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))))))
(* x (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))
(.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 5))
(.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) x) #s(literal -5/112 binary64))
(* (pow x 5) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) x) (+.f64 #s(literal -5/112 binary64) (/.f64 #s(literal 3/40 binary64) (.f64 x x))))
(* (pow x 5) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) x) (-.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 5) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) x) (-.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))))))
(* -5/112 (pow x 5))
(.f64 (.f64 (.f64 (.f64 x x) (*.f64 x x)) x) #s(literal -5/112 binary64))
(* -1 (* (pow x 5) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 5/112 binary64) (/.f64 #s(literal -3/40 binary64) (.f64 x x)))))
(* -1 (* (pow x 5) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) x) (-.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))))))
(* -1 (* (pow x 5) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))
(.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) x) (-.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))))))
(* -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))
(* 1/36 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/36 binary64))
(* (pow x 2) (+ 1/36 (* -1/40 (pow x 2))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) #s(literal -1/40 binary64))))
(* (pow x 2) (+ 1/36 (* (pow x 2) (- (* 689/33600 (pow x 2)) 1/40))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/40 binary64) (.f64 (.f64 x x) #s(literal 689/33600 binary64)))))))
(* (pow x 2) (+ 1/36 (* (pow x 2) (- (* (pow x 2) (+ 689/33600 (* -3/448 (pow x 2)))) 1/40))))
(.f64 (.f64 x x) (+.f64 #s(literal 1/36 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/40 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 689/33600 binary64) (.f64 (.f64 x x) #s(literal -3/448 binary64))))))))
(* 25/12544 (pow x 10))
(*.f64 #s(literal 25/12544 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- 25/12544 (* 3/448 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 25/12544 binary64) (/.f64 #s(literal -3/448 binary64) (.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (* 3/448 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 689/33600 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 25/12544 binary64) (/.f64 #s(literal -3/448 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (+ (* 3/448 (/ 1 (pow x 2))) (* 1/40 (/ 1 (pow x 6))))))
(.f64 (+.f64 (/.f64 #s(literal 689/33600 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (+.f64 #s(literal 25/12544 binary64) (/.f64 #s(literal -3/448 binary64) (*.f64 x x))) (/.f64 #s(literal -1/40 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 10 binary64)))
(* 25/12544 (pow x 10))
(*.f64 #s(literal 25/12544 binary64) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- 25/12544 (* 3/448 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 25/12544 binary64) (/.f64 #s(literal -3/448 binary64) (.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (* 3/448 (/ 1 (pow x 2)))))
(.f64 (+.f64 (/.f64 #s(literal 689/33600 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal 25/12544 binary64) (/.f64 #s(literal -3/448 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- (+ 25/12544 (/ 689/33600 (pow x 4))) (+ (* 3/448 (/ 1 (pow x 2))) (* 1/40 (/ 1 (pow x 6))))))
(.f64 (+.f64 (/.f64 #s(literal 689/33600 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (+.f64 #s(literal 25/12544 binary64) (/.f64 #s(literal -3/448 binary64) (*.f64 x x))) (/.f64 #s(literal -1/40 binary64) (pow.f64 x #s(literal 6 binary64))))) (pow.f64 x #s(literal 10 binary64)))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))

eval311.0ms (3.1%)

Compiler: Compiled 141046 to 3409 computations (97.6% saved)

prune123.0ms (1.3%)

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	1557	5	1562
Fresh	0	4	4
Picked	2	3	5
Done	0	7	7
Total	1559	19	1578

Accuracy

100.0%

Counts

1578 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.1%	(/.f64 (.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))))) 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)))))))))
	53.1%	(/.f64 (.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)))))) 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)))))))))
✓	54.4%	(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
	52.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.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 x (*.f64 x #s(literal -5/112 binary64))))))))))))
✓	53.8%	(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64)))))) x)
	54.4%	(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) x)
	53.2%	(.f64 x (+.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 3/40 binary64))))) #s(literal 1 binary64))))
✓	52.5%	(.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))))))))
	53.7%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 1/36 binary64)))))))
	26.2%	(neg.f64 (log.f64 (/.f64 x #s(literal -1/2 binary64))))
	28.0%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
	26.1%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x))) x))
✓	26.9%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
✓	26.2%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	22.0%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))
✓	23.0%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
✓	28.0%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
✓	21.9%	(log.f64 (+.f64 x x))
✓	54.4%	x

Compiler

Compiled 836 to 336 computations (59.8% saved)

regimes25.0ms (0.3%)

Counts

28 → 3

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.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 1/36 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) #s(literal 3/40 binary64))))))
(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64)))))) x)
(.f64 x (+.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 3/40 binary64))))) #s(literal 1 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.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 x (*.f64 x #s(literal -5/112 binary64))))))))))))
(/.f64 (.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)))))) 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)))))))))
(/.f64 (.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))))) 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)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))) x) (-.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)))))))))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(neg.f64 (log.f64 (/.f64 x #s(literal -1/2 binary64))))
(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 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x))) x))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))) (.f64 x (.f64 x 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 (.f64 x 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 (.f64 x 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 (.f64 x x) #s(literal -5/112 binary64))))) (.f64 x (*.f64 x x))) x))))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))

Outputs

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

(/.f64 (*.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)))))) 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)))))))))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.8%	3	`x`
91.3%	4	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
91.3%	4	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts

24 → 3

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.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 1/36 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) #s(literal 3/40 binary64))))))
(+.f64 (.f64 (.f64 x x) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 x (*.f64 x #s(literal 3/40 binary64)))))) x)
(.f64 x (+.f64 (.f64 (.f64 x x) #s(literal -1/6 binary64)) (+.f64 (.f64 x (.f64 x (.f64 x (*.f64 x #s(literal 3/40 binary64))))) #s(literal 1 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.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 x (*.f64 x #s(literal -5/112 binary64))))))))))))
(/.f64 (.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)))))) 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)))))))))
(/.f64 (.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))))) 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)))))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))) x) (-.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)))))))))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(neg.f64 (log.f64 (/.f64 x #s(literal -1/2 binary64))))
(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 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x))) x))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
(/.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))) (.f64 (.f64 x x) (.f64 (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))) (.f64 x (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))))) (.f64 x (.f64 x 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 (.f64 x 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 (.f64 x 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 (.f64 x x) #s(literal -5/112 binary64))))) (.f64 x (*.f64 x x))) x))))

Outputs

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

(/.f64 (*.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)))))) 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)))))))))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

21 → 3

Calls

Call 1

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

Outputs

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

(/.f64 (*.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)))))) 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)))))))))

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.5%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

20 → 3

Calls

Call 1

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

(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
99.4%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes39.0ms (0.4%)

Counts

19 → 3

Calls

Call 1

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

Outputs

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

(/.f64 (*.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)))))) 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)))))))))

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

Calls

1 calls:

37.0ms

Results

Accuracy	Segments	Branch
99.3%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

18 → 3

Calls

Call 1

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

Outputs

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

(/.f64 (*.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)))))) 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)))))))))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.1%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.1%)

Counts

17 → 3

Calls

Call 1

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

Outputs

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

(/.f64 (*.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)))))) 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)))))))))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.0%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
74.4%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

15 → 1

Calls

Call 1

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

Outputs
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) x)

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
54.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
54.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -1.5b remaining (-5%)

Threshold costs -1.5b (-5%)

Counts

2 → 1

Calls

Call 1

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

Outputs
x

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
54.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch22.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	2.1477934374070635e-8	0.04514889467575678
14.0ms	-1693.5934493037237	-0.12241630402325375

Results

12.0ms

192×

valid

Compiler

Compiled 682 to 406 computations (40.5% saved)

Precisions

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

ival-add: 2.0ms (26.6% of total)

ival-log: 2.0ms (26.6% of total)

ival-mult: 2.0ms (26.6% of total)

ival-sqrt: 1.0ms (13.3% of total)

const: 0.0ms (0% of total)

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

bsearch27.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.04514889467575678	1.3273562080316148
14.0ms	-1693.5934493037237	-0.12241630402325375

Results

16.0ms

240×

valid

Compiler

Compiled 885 to 535 computations (39.5% saved)

Precisions

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

ival-add: 3.0ms (32.1% of total)

ival-log: 2.0ms (21.4% of total)

ival-mult: 2.0ms (21.4% of total)

ival-sqrt: 2.0ms (21.4% of total)

const: 0.0ms (0% of total)

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

bsearch29.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.04514889467575678	1.3273562080316148
13.0ms	-1693.5934493037237	-0.12241630402325375

Results

15.0ms

240×

valid

Compiler

Compiled 837 to 511 computations (38.9% saved)

Precisions

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

ival-add: 2.0ms (22.1% of total)

ival-log: 2.0ms (22.1% of total)

ival-mult: 2.0ms (22.1% of total)

ival-sqrt: 2.0ms (22.1% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.04514889467575678	1.3273562080316148
13.0ms	-1693.5934493037237	-0.12241630402325375

Results

15.0ms

240×

valid

Compiler

Compiled 795 to 483 computations (39.2% saved)

Precisions

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

ival-add: 3.0ms (31.9% of total)

ival-log: 2.0ms (21.3% of total)

ival-mult: 2.0ms (21.3% of total)

ival-sqrt: 2.0ms (21.3% 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
11.0ms	0.04514889467575678	1.3273562080316148
13.0ms	-1693.5934493037237	-0.12241630402325375

Results

15.0ms

240×

valid

Compiler

Compiled 755 to 459 computations (39.2% saved)

Precisions

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

ival-add: 3.0ms (32% of total)

ival-log: 2.0ms (21.3% of total)

ival-mult: 2.0ms (21.3% of total)

ival-sqrt: 2.0ms (21.3% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.3273562080316148	470.88874206983166
13.0ms	-1693.5934493037237	-0.12241630402325375

Results

16.0ms

256×

valid

Compiler

Compiled 774 to 458 computations (40.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add: 3.0ms (30% of total)

ival-log: 3.0ms (30% of total)

ival-mult: 2.0ms (20% of total)

ival-sqrt: 2.0ms (20% of total)

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.3273562080316148	470.88874206983166
15.0ms	-1693.5934493037237	-0.12241630402325375

Results

18.0ms

256×

valid

Compiler

Compiled 766 to 450 computations (41.3% saved)

Precisions

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

ival-log: 5.0ms (41.1% of total)

ival-add: 3.0ms (24.7% of total)

ival-mult: 2.0ms (16.4% of total)

ival-sqrt: 2.0ms (16.4% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.3273562080316148	470.88874206983166

Results

9.0ms

128×

valid

Compiler

Compiled 166 to 114 computations (31.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 1.0ms (19.9% of total)

ival-log: 1.0ms (19.9% of total)

ival-mult: 1.0ms (19.9% of total)

ival-sqrt: 1.0ms (19.9% of total)

const: 0.0ms (0% of total)

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

simplify27.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

66×	`+-commutative_binary64`
62×	`*-commutative_binary64`
46×	`sub-neg_binary64`
40×	`neg-sub0_binary64`
40×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	493
1	130	493
2	160	493
3	187	493
4	210	493
5	239	493
6	257	493
7	276	493
8	284	493
9	288	493
10	289	493

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x))) x)) (if (<=.f64 x #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 (.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)))))) 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))))))))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x))) x)) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (/.f64 (.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)))))) 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))))))))) (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))))
(if (<=.f64 x #s(literal -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 2476979795053773/2251799813685248 binary64)) (/.f64 (.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)))))) 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))))))))) (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))))
(if (<=.f64 x #s(literal -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 2589569785738035/2251799813685248 binary64)) (/.f64 (.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)))))) 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))))))))) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -3602879701896397/2251799813685248 binary64)) (neg.f64 (log.f64 (/.f64 x #s(literal -1/2 binary64)))) (if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) (/.f64 (.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)))))) 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))))))))) (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -3602879701896397/2251799813685248 binary64)) (neg.f64 (log.f64 (/.f64 x #s(literal -1/2 binary64)))) (if (<=.f64 x #s(literal 3715469692580659/2251799813685248 binary64)) (/.f64 (.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)))))) 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))))))))) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal -3602879701896397/2251799813685248 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 3715469692580659/2251799813685248 binary64)) (/.f64 (.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)))))) 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))))))))) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal 3332663724254167/2251799813685248 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) x) (log.f64 (+.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
x

Outputs
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x))) x)) (if (<=.f64 x #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 (.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)))))) 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))))))))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x))) x)) (if (<=.f64 x #s(literal 5764607523034235/576460752303423488 binary64)) (/.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 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))))))))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x))) x)) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (/.f64 (.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)))))) 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))))))))) (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))))
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x))) x)) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (/.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 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))))))))) (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))))
(if (<=.f64 x #s(literal -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 2476979795053773/2251799813685248 binary64)) (/.f64 (.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)))))) 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))))))))) (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))))
(if (<=.f64 x #s(literal -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 2476979795053773/2251799813685248 binary64)) (/.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 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))))))))) (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))))
(if (<=.f64 x #s(literal -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 2589569785738035/2251799813685248 binary64)) (/.f64 (.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)))))) 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))))))))) (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 2589569785738035/2251799813685248 binary64)) (/.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 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))))))))) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -3602879701896397/2251799813685248 binary64)) (neg.f64 (log.f64 (/.f64 x #s(literal -1/2 binary64)))) (if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) (/.f64 (.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)))))) 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))))))))) (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -3602879701896397/2251799813685248 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x #s(literal -1/2 binary64)))) (if (<=.f64 x #s(literal 2589569785738035/2251799813685248 binary64)) (/.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 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))))))))) (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -3602879701896397/2251799813685248 binary64)) (neg.f64 (log.f64 (/.f64 x #s(literal -1/2 binary64)))) (if (<=.f64 x #s(literal 3715469692580659/2251799813685248 binary64)) (/.f64 (.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)))))) 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))))))))) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal -3602879701896397/2251799813685248 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x #s(literal -1/2 binary64)))) (if (<=.f64 x #s(literal 3715469692580659/2251799813685248 binary64)) (/.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 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))))))))) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal -3602879701896397/2251799813685248 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 3715469692580659/2251799813685248 binary64)) (/.f64 (.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)))))) 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))))))))) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal -3602879701896397/2251799813685248 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 3715469692580659/2251799813685248 binary64)) (/.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 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))))))))) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal 3332663724254167/2251799813685248 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) x) (log.f64 (+.f64 x x)))
(if (<=.f64 x #s(literal 3332663724254167/2251799813685248 binary64)) (.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))) (log.f64 (+.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))) x)
(.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64))))
x

soundness1.9s (19.5%)

Rules

5660×	`+-lowering-+.f64`
5660×	`+-lowering-+.f32`
4096×	`-lowering-.f32`
4096×	`-lowering-.f64`
4018×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	452
1	348	342
2	3491	336
0	8583	336
0	122	434
1	355	396
2	1102	379
3	3807	356
0	8425	356
0	224	1966
1	624	1873
2	1959	1831
3	6437	1831
0	8101	1831
0	390	2914
1	1139	2795
2	3542	2729
0	8151	2729
0	24	135
1	160	121
2	1442	117
0	8252	117
0	7	8
1	12	6
2	13	6
3	14	6
0	14	6

Stop Event

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

Compiler

Compiled 1327 to 622 computations (53.1% saved)

preprocess79.0ms (0.8%)

Compiler: Compiled 1062 to 226 computations (78.7% saved)

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

Iter	Nodes	Cost
0	91	493
1	130	493
2	160	493
3	187	493
4	210	493
5	239	493
6	257	493
7	276	493
8	284	493
9	288	493
10	289	493

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

Iter	Nodes	Cost
0	91	493
1	130	493
2	160	493
3	187	493
4	210	493
5	239	493
6	257	493
7	276	493
8	284	493
9	288	493
10	289	493

analyze124.0ms (1.3%)

sample2.3s (23.3%)

preprocess28.0ms (0.3%)

explain214.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize178.0ms (1.8%)

series4.0ms (0%)

rewrite340.0ms (3.4%)

simplify234.0ms (2.4%)

eval29.0ms (0.3%)

prune70.0ms (0.7%)

simplify95.0ms (1%)

localize116.0ms (1.2%)

series97.0ms (1%)

rewrite412.0ms (4.2%)

simplify274.0ms (2.8%)

eval125.0ms (1.3%)

prune76.0ms (0.8%)

simplify83.0ms (0.8%)

localize199.0ms (2%)

series67.0ms (0.7%)

rewrite159.0ms (1.6%)

simplify502.0ms (5.1%)

eval113.0ms (1.1%)

prune88.0ms (0.9%)

simplify184.0ms (1.9%)

localize272.0ms (2.8%)

series19.0ms (0.2%)

rewrite356.0ms (3.6%)

simplify301.0ms (3%)

eval311.0ms (3.1%)

prune123.0ms (1.3%)

regimes25.0ms (0.3%)

regimes10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes39.0ms (0.4%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch22.0ms (0.2%)

bsearch27.0ms (0.3%)

bsearch29.0ms (0.3%)

bsearch28.0ms (0.3%)

bsearch33.0ms (0.3%)

bsearch28.0ms (0.3%)

bsearch32.0ms (0.3%)

bsearch15.0ms (0.2%)

simplify27.0ms (0.3%)

soundness1.9s (19.5%)

preprocess79.0ms (0.8%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	91	493
1	130	493
2	160	493
3	187	493
4	210	493
5	239	493
6	257	493
7	276	493
8	284	493
9	288	493
10	289	493