Metrics for Hyperbolic arcsine

analyze179.0ms (1.8%)

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: 68.0ms

ival-sqrt: 25.0ms (36.6% of total)

ival-add: 24.0ms (35.1% of total)

ival-log: 9.0ms (13.2% of total)

ival-mult: 9.0ms (13.2% of total)

const: 1.0ms (1.5% of total)

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

sample2.6s (26.6%)

Results

1.3s	2704×	2	valid
838.0ms	3362×	1	valid
179.0ms	2190×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-log: 770.0ms (43.5% of total)

ival-mult: 341.0ms (19.3% of total)

ival-add: 274.0ms (15.5% of total)

backward-pass: 190.0ms (10.7% of total)

ival-sqrt: 179.0ms (10.1% of total)

const: 18.0ms (1% of total)

Bogosity

preprocess26.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

216×	`fnmadd-define`
196×	`fmsub-define`
192×	`fnmsub-define`
148×	`sum3-define`
128×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	27
1	34	19
2	62	19
3	109	19
4	249	19
5	451	19
6	652	19
7	795	19
8	826	19
0	7	8
1	13	6
2	14	6
3	15	6
0	15	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain224.0ms (2.3%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
128	1	(0.0040743918555170185)	-	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
63	0	-	-	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
59	0	-	-	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
0	0	-	-	`x`
0	0	-	-	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`
0	0	-	-	`(*.f64 x x)`
0	0	-	-	`#s(literal 1 binary64)`

Results

82.0ms	206×	1	valid
77.0ms	160×	2	valid
15.0ms	146×	0	valid

Compiler

Compiled 80 to 23 computations (71.3% saved)

Precisions

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

ival-log: 64.0ms (58% of total)

backward-pass: 13.0ms (11.8% of total)

ival-sqrt: 12.0ms (10.9% of total)

ival-add: 11.0ms (10% of total)

ival-mult: 10.0ms (9.1% of total)

const: 1.0ms (0.9% 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
▶	31.9%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	14	16
2	15	16
0	15	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize397.0ms (4%)

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

370.0ms	186×	5	exit
11.0ms	70×	0	valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-log: 31.0ms (33.1% of total)

backward-pass: 22.0ms (23.5% of total)

compiled-spec: 20.0ms (21.3% of total)

ival-add: 9.0ms (9.6% of total)

ival-mult: 7.0ms (7.5% of total)

ival-sqrt: 4.0ms (4.3% of total)

const: 1.0ms (1.1% of total)

series27.0ms (0.3%)

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
24.0ms	x	@	-inf	(log (+ x (sqrt (+ (* 1 1) (* x x)))))
1.0ms	x	@	0	(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))))

rewrite31.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

12×	`exp-lowering-exp.f32`
12×	`exp-prod`
12×	`exp-lowering-exp.f64`
12×	`pow-to-exp`
10×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	18	14
2	25	14
3	33	14
4	49	14
5	58	14
6	65	14
0	65	14

Stop Event

1×	iter limit
1×	saturated

Counts

3 → 8

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 x (hypot.f64 #s(literal 1 binary64) x))
(+.f64 (hypot.f64 #s(literal 1 binary64) x) x)
(exp.f64 (.f64 #s(literal 1/2 binary64) (log1p.f64 (.f64 x x))))
(hypot.f64 #s(literal 1 binary64) x)
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (*.f64 x x)))

simplify246.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

3490×	`+-lowering-+.f64`
3490×	`+-lowering-+.f32`
2464×	`-lowering-.f32`
2464×	`-lowering-.f64`
1576×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	434
1	355	365
2	1103	351
3	3794	340
0	8358	340

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

eval5.0ms (0.1%)

Compiler: Compiled 564 to 183 computations (67.6% saved)

prune13.0ms (0.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	33	11	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	12	45

Accuracy

100.0%

Counts

45 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.2%	(.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))))))))
	52.6%	(.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)))))))
▶	50.9%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
	23.3%	(log.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))) x))
▶	24.3%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
▶	23.7%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
	25.9%	(log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))))
✓	31.9%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
	25.9%	(log.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))))
	26.9%	(log.f64 (+.f64 x (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))
	25.6%	(log.f64 (+.f64 x x))
▶	52.7%	x

Compiler

Compiled 289 to 191 computations (33.9% saved)

simplify102.0ms (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 #s(literal -1/6 binary64))
✓	cost-diff	(.f64 x (.f64 x #s(literal -1/6 binary64)))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
✓	cost-diff	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))

Rules

2268×	`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	25	151
1	71	137
2	212	135
3	636	135
4	1426	135
5	2187	135
6	2519	135
7	2532	135
8	2532	135
9	2537	135
0	2537	135

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize144.0ms (1.5%)

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	99.7%	(/.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 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))
✓	accuracy	100.0%	(.f64 (.f64 x x) #s(literal -5/112 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
✓	accuracy	100.0%	(.f64 x (.f64 x #s(literal -1/6 binary64)))
✓	accuracy	99.9%	(*.f64 x #s(literal -1/6 binary64))

Results

82.0ms	196×	0	invalid
23.0ms	60×	0	valid

Compiler

Compiled 177 to 26 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 13.0ms (29.2% of total)

...c/correct-round.rkt:119:19: 13.0ms (29.2% of total)

ival-div: 6.0ms (13.5% of total)

ival-add: 6.0ms (13.5% of total)

ival-log: 5.0ms (11.2% of total)

const: 1.0ms (2.2% of total)

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

series63.0ms (0.6%)

Counts

17 → 204

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/6))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (* -5/112 (pow x 7))>
#<alt (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* -5/112 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (+ (log 1/8) (* -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>
#<alt (+ 3/40 (* -5/112 (pow x 2)))>
#<alt (+ 3/40 (* -5/112 (pow x 2)))>
#<alt (+ 3/40 (* -5/112 (pow x 2)))>
#<alt (* -5/112 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* -5/112 (pow x 2))>
#<alt (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))>
#<alt (* (pow x 2) (- (* 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))>
#<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))>

Calls

51 calls:

Time	Variable		Point	Expression
26.0ms	x	@	0	(log (/ -1/2 x))
18.0ms	x	@	-inf	(log (/ -1/2 x))
8.0ms	x	@	inf	(log (/ -1/2 x))
1.0ms	x	@	0	(* x (+ 1 (* (* x x) (+ -1/6 (* (* x x) (+ 3/40 (* (* x x) -5/112)))))))
1.0ms	x	@	0	(log (/ (+ -1/2 (/ 1/8 (* x x))) x))

rewrite290.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3432×	`-lowering-.f32`
3432×	`-lowering-.f64`
2126×	`/-lowering-/.f32`
2126×	`/-lowering-/.f64`
1876×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	124
1	99	112
2	362	110
3	1278	110
4	3997	110
0	9286	110

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 903

Calls

Call 1

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

Outputs
(+.f64 x (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) (fma.f64 #s(literal 1 binary64) x (-.f64 #s(literal 0 binary64) x)))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) (fma.f64 x #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) (fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))) x)
(-.f64 x (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(-.f64 x (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (*.f64 x #s(literal -1/6 binary64))))
(-.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(-.f64 x (.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) (-.f64 #s(literal 0 binary64) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))) (-.f64 #s(literal 0 binary64) x))
(-.f64 (+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x))
(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 binary64) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))) x)
(fma.f64 #s(literal -1/6 binary64) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x) x)
(fma.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) x x)
(fma.f64 (.f64 x x) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal -1/6 binary64))) x)
(fma.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))) #s(literal 1 binary64) x)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (*.f64 x #s(literal -1/6 binary64)))) x)
(fma.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (*.f64 x #s(literal -1/6 binary64))) x)
(fma.f64 (.f64 x (.f64 x x)) #s(literal -1/6 binary64) x)
(neg.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))))
(neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) #s(literal -1 binary64))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (*.f64 x #s(literal -1/6 binary64)))) x) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (*.f64 x #s(literal -1/6 binary64))) x) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) (-.f64 #s(literal 0 binary64) x)) x) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)) x) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (/.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 x #s(literal -1/6 binary64)))) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 x #s(literal -1/6 binary64)))) #s(literal 1 binary64)) x) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 x #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x #s(literal -1/6 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64)) x) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 x #s(literal -1/6 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal 1 binary64)) x) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) x) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(.f64 #s(literal 1 binary64) (.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 x (+.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 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
(+.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))
(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 #s(literal -1/6 binary64)) x #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 x) #s(literal -1/6 binary64) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.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)))) #s(literal 1 binary64))
(neg.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal -1/6 binary64))))
(neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1/6 binary64)))
(neg.f64 (.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(neg.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal -1/6 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(.f64 x (.f64 x #s(literal -1/6 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(.f64 (.f64 x #s(literal -1/6 binary64)) x)
(.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal -1/6 binary64))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/6 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal -1/6 binary64))))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/6 binary64)))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/6 binary64)))
(neg.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/6 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(*.f64 x #s(literal -1/6 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) x)
(.f64 (.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/6 binary64)))
(+.f64 x (.f64 x (.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 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (.f64 x (.f64 (.f64 x x) (.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 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)))))))) (fma.f64 #s(literal 1 binary64) x (-.f64 #s(literal 0 binary64) x)))
(+.f64 (.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)))))))) (fma.f64 x #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (.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)))))))) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (.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)))))))) (fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (.f64 x (.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))))))) x)
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(-.f64 (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x #s(literal 3/40 binary64))))
(-.f64 (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) #s(literal 3/40 binary64)))
(-.f64 (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 #s(literal 3/40 binary64) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(-.f64 (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x #s(literal 3/40 binary64)) (-.f64 #s(literal 0 binary64) x)))
(-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (.f64 (.f64 x x) #s(literal -5/112 binary64))))
(-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) (.f64 (.f64 (.f64 x x) #s(literal -5/112 binary64)) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) (.f64 (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64))) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 x (.f64 x #s(literal 3/40 binary64)) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(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 #s(literal 1 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) #s(literal 3/40 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64)) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (.f64 x x)))))
(fma.f64 (.f64 x x) #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(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 #s(literal -5/112 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(fma.f64 #s(literal -5/112 binary64) (.f64 x (.f64 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 #s(literal -5/112 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (.f64 x x)))))
(fma.f64 (.f64 x #s(literal -5/112 binary64)) (.f64 x (.f64 x x)) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(fma.f64 (.f64 x #s(literal 3/40 binary64)) x (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal -5/112 binary64))) 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 x (.f64 x (.f64 x x))) #s(literal -5/112 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))
(neg.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))))
(neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))
(neg.f64 (.f64 (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x x))))
(neg.f64 (.f64 (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))) #s(literal 1 binary64))
(/.f64 (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))))) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64))) (-.f64 #s(literal 0 binary64) (.f64 x x))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(.f64 x (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))
(.f64 #s(literal 1 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 #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 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))) #s(literal 1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) x) (.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))))
(.f64 (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))) x)
(.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) x) (.f64 x (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) (.f64 x x)) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))))

simplify243.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

3466×	`+-lowering-+.f64`
3466×	`+-lowering-+.f32`
3228×	`-lowering-.f32`
3228×	`-lowering-.f64`
1320×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	1533
1	371	1299
2	1067	1265
3	3293	1261
0	8351	1261

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* -1/6 (pow x 2))))
(* -1/6 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* -1/6 (pow x 2)))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/6))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(* -5/112 (pow x 7))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 7))
(* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
(+ 1 (* -1/6 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* -5/112 (pow x 6))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ -1 x)))
(+ (log 1/2) (log (/ -1 x)))
(+ (log 1/2) (log (/ -1 x)))
(+ (log 1/2) (log (/ -1 x)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(+ (log 1/8) (* -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
(+ 3/40 (* -5/112 (pow x 2)))
(+ 3/40 (* -5/112 (pow x 2)))
(+ 3/40 (* -5/112 (pow x 2)))
(* -5/112 (pow x 2))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* -5/112 (pow x 2))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112))
(* (pow x 2) (- (* 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))
(* 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))

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

eval176.0ms (1.8%)

Compiler: Compiled 23541 to 3814 computations (83.8% saved)

prune147.0ms (1.5%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	1265	4	1269
Fresh	1	5	6
Picked	1	4	5
Done	0	1	1
Total	1267	14	1281

Accuracy

100.0%

Counts

1281 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.9%	(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))) x)
	51.0%	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
✓	51.2%	(.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))))))))
▶	52.6%	(.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))))))
▶	50.4%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 6 binary64)))))
	23.3%	(log.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))) x))
✓	24.3%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
✓	23.7%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
	25.9%	(log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))))
✓	31.9%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
▶	25.9%	(log.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))))
	26.9%	(log.f64 (+.f64 x (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))
▶	25.6%	(log.f64 (+.f64 x x))
✓	52.7%	x

Compiler

Compiled 329 to 207 computations (37.1% saved)

simplify146.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

1826×	`fma-define`
1618×	`fma-lowering-fma.f32`
1618×	`fma-lowering-fma.f64`
1504×	`sum5-define`
1240×	`fnmadd-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	201
1	87	175
2	220	169
3	601	166
4	1168	161
5	2308	161
6	3365	161
7	6584	161
0	8013	161

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize172.0ms (1.7%)

Localize:

Found 18 expressions of interest:

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

Results

98.0ms	190×	0	invalid
30.0ms	66×	0	valid

Compiler

Compiled 233 to 34 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-mult: 20.0ms (33.5% of total)

...c/correct-round.rkt:119:19: 14.0ms (23.4% of total)

ival-add: 9.0ms (15.1% of total)

ival-log: 5.0ms (8.4% of total)

ival-div: 4.0ms (6.7% of total)

ival-pow: 4.0ms (6.7% of total)

ival-sub: 3.0ms (5% of total)

const: 1.0ms (1.7% of total)

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

series64.0ms (0.6%)

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 (* x (* x -1/6))) x)>
#<alt (* x (* x (* x -1/6)))>
#<alt (* x (* x -1/6))>
#<alt (* x -1/6)>
#<alt (log (+ x x))>
#<alt (+ x x)>
#<alt (* x (+ 1 (* -5/112 (pow x 6))))>
#<alt (+ 1 (* -5/112 (pow x 6)))>
#<alt (* -5/112 (pow x 6))>
#<alt (pow x 6)>
#<alt (* x (- 1 (/ 1/8 (* x (* x (* x x))))))>
#<alt (log (+ x (+ (/ 1/2 x) (* x (- 1 (/ 1/8 (* x (* x (* x x)))))))))>
#<alt (+ x (+ (/ 1/2 x) (* x (- 1 (/ 1/8 (* x (* x (* x x))))))))>
#<alt (+ (/ 1/2 x) (* x (- 1 (/ 1/8 (* x (* x (* x x)))))))>
#<alt (* (* x x) 3/40)>
#<alt (* x (* x x))>
#<alt (/ 1/8 (* x (* 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 (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (+ (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 x>
#<alt (* x (+ 1 (* -5/112 (pow x 6))))>
#<alt (* x (+ 1 (* -5/112 (pow x 6))))>
#<alt (* x (+ 1 (* -5/112 (pow x 6))))>
#<alt (* -5/112 (pow x 7))>
#<alt (* (pow x 7) (- (/ 1 (pow x 6)) 5/112))>
#<alt (* (pow x 7) (- (/ 1 (pow x 6)) 5/112))>
#<alt (* (pow x 7) (- (/ 1 (pow x 6)) 5/112))>
#<alt (* -5/112 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 5/112 (/ 1 (pow x 6)))))>
#<alt (* -1 (* (pow x 7) (- 5/112 (/ 1 (pow x 6)))))>
#<alt (* -1 (* (pow x 7) (- 5/112 (/ 1 (pow x 6)))))>
#<alt 1>
#<alt (+ 1 (* -5/112 (pow x 6)))>
#<alt (+ 1 (* -5/112 (pow x 6)))>
#<alt (+ 1 (* -5/112 (pow x 6)))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) 5/112))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) 5/112))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) 5/112))>
#<alt (* -5/112 (pow x 6))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) 5/112))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) 5/112))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) 5/112))>
#<alt (* -5/112 (pow x 6))>
#<alt (* -5/112 (pow x 6))>
#<alt (* -5/112 (pow x 6))>
#<alt (* -5/112 (pow x 6))>
#<alt (* -5/112 (pow x 6))>
#<alt (* -5/112 (pow x 6))>
#<alt (* -5/112 (pow x 6))>
#<alt (* -5/112 (pow x 6))>
#<alt (* -5/112 (pow x 6))>
#<alt (* -5/112 (pow x 6))>
#<alt (* -5/112 (pow x 6))>
#<alt (* -5/112 (pow x 6))>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (pow x 6)>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (pow x 4) 1/8) (pow x 3))>
#<alt (/ (- (pow x 4) 1/8) (pow x 3))>
#<alt (/ (- (pow x 4) 1/8) (pow x 3))>
#<alt x>
#<alt (* x (- 1 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (- 1 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (- 1 (* 1/8 (/ 1 (pow x 4)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))>
#<alt (+ (log -1/8) (* -3 (log x)))>
#<alt (+ (log -1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -24 (pow x 2)) 4))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -256/3 (pow x 2)) 24)) 4))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* 2 (pow x 2)))) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (* 2 (pow x 2)))) 1/8) (pow x 3))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8) (pow x 3))>
#<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)))) (/ 1/8 (pow x 4))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (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 (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 (/ 1/8 (pow x 4))>
#<alt (/ 1/8 (pow x 4))>
#<alt (/ 1/8 (pow x 4))>
#<alt (/ 1/8 (pow x 4))>
#<alt (/ 1/8 (pow x 4))>
#<alt (/ 1/8 (pow x 4))>
#<alt (/ 1/8 (pow x 4))>
#<alt (/ 1/8 (pow x 4))>
#<alt (/ 1/8 (pow x 4))>
#<alt (/ 1/8 (pow x 4))>
#<alt (/ 1/8 (pow x 4))>
#<alt (/ 1/8 (pow x 4))>
#<alt (pow x 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
30.0ms	x	@	-inf	(log (+ x x))
14.0ms	x	@	0	(log (+ x x))
6.0ms	x	@	inf	(log (+ x x))
2.0ms	x	@	0	(* x (- 1 (/ 1/8 (* x (* x (* x x))))))
1.0ms	x	@	inf	(* x (+ 1 (* -5/112 (pow x 6))))

rewrite311.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2470×	`-lowering-.f32`
2470×	`-lowering-.f64`
1990×	`/-lowering-/.f32`
1990×	`/-lowering-/.f64`
1372×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	166
1	107	143
2	340	135
3	1247	128
4	5936	128
0	8397	128

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 763

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

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

simplify200.0ms (2%)

Algorithm

1×	egg-herbie

Rules

2198×	`-lowering-.f32`
2198×	`-lowering-.f64`
1844×	`sum3-define`
1644×	`+-lowering-+.f64`
1644×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	1755
1	429	1573
2	1290	1547
3	4330	1517
0	8254	1517

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)))))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 3))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(+ (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)
x
(* x (+ 1 (* -5/112 (pow x 6))))
(* x (+ 1 (* -5/112 (pow x 6))))
(* x (+ 1 (* -5/112 (pow x 6))))
(* -5/112 (pow x 7))
(* (pow x 7) (- (/ 1 (pow x 6)) 5/112))
(* (pow x 7) (- (/ 1 (pow x 6)) 5/112))
(* (pow x 7) (- (/ 1 (pow x 6)) 5/112))
(* -5/112 (pow x 7))
(* -1 (* (pow x 7) (- 5/112 (/ 1 (pow x 6)))))
(* -1 (* (pow x 7) (- 5/112 (/ 1 (pow x 6)))))
(* -1 (* (pow x 7) (- 5/112 (/ 1 (pow x 6)))))
1
(+ 1 (* -5/112 (pow x 6)))
(+ 1 (* -5/112 (pow x 6)))
(+ 1 (* -5/112 (pow x 6)))
(* -5/112 (pow x 6))
(* (pow x 6) (- (/ 1 (pow x 6)) 5/112))
(* (pow x 6) (- (/ 1 (pow x 6)) 5/112))
(* (pow x 6) (- (/ 1 (pow x 6)) 5/112))
(* -5/112 (pow x 6))
(* (pow x 6) (- (/ 1 (pow x 6)) 5/112))
(* (pow x 6) (- (/ 1 (pow x 6)) 5/112))
(* (pow x 6) (- (/ 1 (pow x 6)) 5/112))
(* -5/112 (pow x 6))
(* -5/112 (pow x 6))
(* -5/112 (pow x 6))
(* -5/112 (pow x 6))
(* -5/112 (pow x 6))
(* -5/112 (pow x 6))
(* -5/112 (pow x 6))
(* -5/112 (pow x 6))
(* -5/112 (pow x 6))
(* -5/112 (pow x 6))
(* -5/112 (pow x 6))
(* -5/112 (pow x 6))
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(pow x 6)
(/ -1/8 (pow x 3))
(/ (- (pow x 4) 1/8) (pow x 3))
(/ (- (pow x 4) 1/8) (pow x 3))
(/ (- (pow x 4) 1/8) (pow x 3))
x
(* x (- 1 (* 1/8 (/ 1 (pow x 4)))))
(* x (- 1 (* 1/8 (/ 1 (pow x 4)))))
(* x (- 1 (* 1/8 (/ 1 (pow x 4)))))
x
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))
(+ (log -1/8) (* -3 (log x)))
(+ (log -1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -24 (pow x 2)) 4))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -256/3 (pow x 2)) 24)) 4))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(/ -1/8 (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (+ 1/2 (* 2 (pow x 2)))) 1/8) (pow x 3))
(/ (- (* (pow x 2) (+ 1/2 (* 2 (pow x 2)))) 1/8) (pow x 3))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(/ -1/8 (pow x 3))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8) (pow x 3))
(/ (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8) (pow x 3))
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)))) (/ 1/8 (pow x 4))))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (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))
(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)
(/ 1/8 (pow x 4))
(/ 1/8 (pow x 4))
(/ 1/8 (pow x 4))
(/ 1/8 (pow x 4))
(/ 1/8 (pow x 4))
(/ 1/8 (pow x 4))
(/ 1/8 (pow x 4))
(/ 1/8 (pow x 4))
(/ 1/8 (pow x 4))
(/ 1/8 (pow x 4))
(/ 1/8 (pow x 4))
(/ 1/8 (pow x 4))
(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 #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) (- (* 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 #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) (- (* 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 x (.f64 x (.f64 (.f64 x x) #s(literal 3/40 binary64))))
(* (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 #s(literal 1 binary64) (.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 #s(literal 1 binary64) (.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 x (.f64 x (.f64 (.f64 x x) #s(literal 3/40 binary64))))
(* (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 #s(literal 1 binary64) (.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 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))
(* -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) (- (* 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 x (.f64 x (.f64 (.f64 x x) #s(literal 3/40 binary64))))
(* (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 x (.f64 x (.f64 (.f64 x x) #s(literal 3/40 binary64))))
(* (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 #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))))
(* -1/6 (pow x 3))
(.f64 x (.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)))
(* -1/6 (pow x 3))
(.f64 x (.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)))
(* -1/6 (pow x 3))
(.f64 x (.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)))
(* -1/6 (pow x 3))
(.f64 x (.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)))
(* -1/6 (pow x 3))
(.f64 x (.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)))
(* -1/6 (pow x 3))
(.f64 x (.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)))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
x
(* x (+ 1 (* -5/112 (pow x 6))))
(+.f64 x (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64))))
(* x (+ 1 (* -5/112 (pow x 6))))
(+.f64 x (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64))))
(* x (+ 1 (* -5/112 (pow x 6))))
(+.f64 x (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64))))
(* -5/112 (pow x 7))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (/ 1 (pow x 6)) 5/112))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal -5/112 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* (pow x 7) (- (/ 1 (pow x 6)) 5/112))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal -5/112 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* (pow x 7) (- (/ 1 (pow x 6)) 5/112))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal -5/112 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* -5/112 (pow x 7))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 5/112 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal -5/112 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* -1 (* (pow x 7) (- 5/112 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal -5/112 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* -1 (* (pow x 7) (- 5/112 (/ 1 (pow x 6)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal -5/112 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -5/112 (pow x 6)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 6 binary64))))
(+ 1 (* -5/112 (pow x 6)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 6 binary64))))
(+ 1 (* -5/112 (pow x 6)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5/112 binary64) (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) (- (/ 1 (pow x 6)) 5/112))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 6 binary64))))
(* (pow x 6) (- (/ 1 (pow x 6)) 5/112))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 6 binary64))))
(* (pow x 6) (- (/ 1 (pow x 6)) 5/112))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5/112 binary64) (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) (- (/ 1 (pow x 6)) 5/112))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 6 binary64))))
(* (pow x 6) (- (/ 1 (pow x 6)) 5/112))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 6 binary64))))
(* (pow x 6) (- (/ 1 (pow x 6)) 5/112))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -5/112 binary64) (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)))
(* -5/112 (pow x 6))
(*.f64 #s(literal -5/112 binary64) (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)))
(* -5/112 (pow x 6))
(*.f64 #s(literal -5/112 binary64) (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)))
(* -5/112 (pow x 6))
(*.f64 #s(literal -5/112 binary64) (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)))
(* -5/112 (pow x 6))
(*.f64 #s(literal -5/112 binary64) (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)))
(* -5/112 (pow x 6))
(*.f64 #s(literal -5/112 binary64) (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)))
(* -5/112 (pow x 6))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 6 binary64)))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
(/ -1/8 (pow x 3))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))
(/ (- (pow x 4) 1/8) (pow x 3))
(/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/8 binary64)) (.f64 x (*.f64 x x)))
(/ (- (pow x 4) 1/8) (pow x 3))
(/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/8 binary64)) (.f64 x (*.f64 x x)))
(/ (- (pow x 4) 1/8) (pow x 3))
(/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -1/8 binary64)) (.f64 x (*.f64 x x)))
x
(* x (- 1 (* 1/8 (/ 1 (pow x 4)))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* x (- 1 (* 1/8 (/ 1 (pow x 4)))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* x (- 1 (* 1/8 (/ 1 (pow x 4)))))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))
x
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 1)))
(.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x 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) (- (* -24 (pow x 2)) 4))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (+.f64 (.f64 (log.f64 x) #s(literal -3 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal -4 binary64) (.f64 x (*.f64 x #s(literal -24 binary64)))))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -256/3 (pow x 2)) 24)) 4))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (+.f64 (.f64 (log.f64 x) #s(literal -3 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal -4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -24 binary64) (.f64 (*.f64 x x) #s(literal -256/3 binary64)))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x))))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (+.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x))))) (log.f64 #s(literal 2 binary64))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x))))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (log.f64 #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 6 binary64)))))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(/ -1/8 (pow x 3))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ (- (* (pow x 2) (+ 1/2 (* 2 (pow x 2)))) 1/8) (pow x 3))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ (- (* (pow x 2) (+ 1/2 (* 2 (pow x 2)))) 1/8) (pow x 3))
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.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 #s(literal 1/2 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(/ -1/8 (pow x 3))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))
(/ (- (* 1/2 (pow x 2)) 1/8) (pow x 3))
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8) (pow x 3))
(/.f64 (-.f64 (+.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)
(/ (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8) (pow x 3))
(/.f64 (-.f64 (+.f64 (.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)
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 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1/2 binary64) x))
x
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal 1/2 binary64) x))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1/2 binary64) x))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2)))))))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1/2 binary64) 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))
(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))
(/ 1/8 (pow x 4))
(/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/8 (pow x 4))
(/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/8 (pow x 4))
(/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/8 (pow x 4))
(/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/8 (pow x 4))
(/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/8 (pow x 4))
(/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/8 (pow x 4))
(/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/8 (pow x 4))
(/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/8 (pow x 4))
(/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/8 (pow x 4))
(/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/8 (pow x 4))
(/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ 1/8 (pow x 4))
(/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))
(pow x 4)
(.f64 x (.f64 x (*.f64 x x)))

eval177.0ms (1.8%)

Compiler: Compiled 18012 to 3210 computations (82.2% saved)

prune115.0ms (1.2%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	1086	5	1091
Fresh	2	2	4
Picked	2	3	5
Done	0	5	5
Total	1090	15	1105

Accuracy

100.0%

Counts

1105 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.6%	(+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64))))) x)
✓	50.9%	(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))) x)
▶	50.4%	(+.f64 (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64))) x)
▶	51.8%	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 3/40 binary64)))) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
▶	51.0%	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
✓	51.2%	(.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))))))))
✓	52.6%	(.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))))))
	14.2%	(log.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
	23.3%	(log.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))) x))
✓	24.3%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
✓	23.7%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	31.9%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
▶	26.9%	(log.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)))
✓	25.6%	(log.f64 (+.f64 x x))
✓	52.7%	x

Compiler

Compiled 320 to 194 computations (39.4% saved)

simplify81.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 1/2 binary64) x) x)
✓	cost-diff	0	(+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) x))
✓	cost-diff	0	(log.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)))
✓	cost-diff	0	(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64)))
✓	cost-diff	0	(+.f64 (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64))) x)
✓	cost-diff	5696	(pow.f64 x #s(literal 7 binary64))
✓	cost-diff	0	(.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x)))))
✓	cost-diff	0	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
✓	cost-diff	512	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (.f64 x x)))))))
✓	cost-diff	0	(.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 3/40 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 3/40 binary64))))
✓	cost-diff	0	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 3/40 binary64)))) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
✓	cost-diff	256	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 3/40 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 x (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))
✓	cost-diff	0	(+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64))))) x)

Rules

2266×	`fma-define`
1772×	`fma-lowering-fma.f32`
1772×	`fma-lowering-fma.f64`
622×	`-lowering-.f32`
622×	`-lowering-.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	35	249
1	116	205
2	349	202
3	850	201
4	1518	199
5	2287	199
6	2461	199
7	2467	199
8	2467	199
0	2467	199

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize324.0ms (3.3%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) x)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1/2 binary64) x) x)
✓	accuracy	100.0%	(+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) x))
✓	accuracy	100.0%	(log.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)))
✓	accuracy	100.0%	(pow.f64 x #s(literal 7 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64))) x)
✓	accuracy	100.0%	(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64)))
✓	accuracy	99.9%	(.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	99.9%	(.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (.f64 x x))))))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	80.8%	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (.f64 x x)))))))
✓	accuracy	99.9%	(.f64 x (.f64 x #s(literal -1/6 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 x x) #s(literal 3/40 binary64))
✓	accuracy	99.7%	(*.f64 x #s(literal -1/6 binary64))
✓	accuracy	90.3%	(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 3/40 binary64)))) (.f64 x (.f64 x #s(literal -1/6 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64)))
✓	accuracy	99.9%	(.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))
✓	accuracy	99.9%	(.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) #s(literal 3/40 binary64))))
✓	accuracy	99.9%	(.f64 (.f64 x x) #s(literal 3/40 binary64))

Results

167.0ms	123×	0	invalid
76.0ms	133×	0	valid

Compiler

Compiled 309 to 36 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-pow: 36.0ms (37.7% of total)

ival-mult: 31.0ms (32.5% of total)

ival-add: 12.0ms (12.6% of total)

...c/correct-round.rkt:119:19: 12.0ms (12.6% of total)

ival-log: 3.0ms (3.1% of total)

ival-div: 2.0ms (2.1% of total)

const: 1.0ms (1% of total)

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

series11.0ms (0.1%)

Counts

26 → 312

Calls

Call 1

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

Calls

78 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log (+ x (+ (/ 1/2 x) x)))
0.0ms	x	@	inf	(* (* x x) (+ -1/6 (* -5/112 (* x (* x (* x x))))))
0.0ms	x	@	0	(pow x 7)
0.0ms	x	@	inf	(log (+ x (+ (/ 1/2 x) x)))
0.0ms	x	@	-inf	(log (+ x (+ (/ 1/2 x) x)))

rewrite360.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2864×	`/-lowering-/.f32`
2864×	`/-lowering-/.f64`
2566×	`-lowering-.f32`
2566×	`-lowering-.f64`
1932×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	210
1	129	171
2	399	168
3	1043	167
4	3121	167
0	8184	167

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 1522

Calls

Call 1

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

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

simplify277.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

2958×	`+-lowering-+.f64`
2958×	`+-lowering-+.f32`
2696×	`-lowering-.f32`
2696×	`-lowering-.f64`
1302×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	2249
1	452	2010
2	1380	1959
3	4499	1931
0	8176	1931

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

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

eval314.0ms (3.2%)

Compiler: Compiled 42406 to 5447 computations (87.2% saved)

prune285.0ms (2.9%)

Pruning

15 alts after pruning (3 fresh and 12 done)

	Pruned	Kept	Total
New	2131	1	2132
Fresh	0	2	2
Picked	1	4	5
Done	0	8	8
Total	2132	15	2147

Accuracy

100.0%

Counts

2147 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.4%	(+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (*.f64 x #s(literal -5/112 binary64))))) x) x)
✓	52.6%	(+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64))))) x)
✓	50.9%	(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))) x)
✓	51.8%	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 3/40 binary64)))) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
✓	51.0%	(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
✓	51.2%	(.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))))))))
✓	52.6%	(.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))))))
	14.2%	(log.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
	23.3%	(log.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))) x))
✓	24.3%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
✓	23.7%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	31.9%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
✓	26.9%	(log.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)))
✓	25.6%	(log.f64 (+.f64 x x))
✓	52.7%	x

Compiler

Compiled 499 to 230 computations (53.9% saved)

regimes23.0ms (0.2%)

Counts

23 → 3

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))) x)
(.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 x (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64))))) x)
(+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (*.f64 x #s(literal -5/112 binary64))))) x) x)
(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 3/40 binary64)))) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64))) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))
(log.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 6 binary64)))))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(log.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(log.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))))
(log.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))) x))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.7%	3	`x`
87.6%	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
87.6%	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

21 → 3

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))) x)
(.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 x (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64))))) x)
(+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (*.f64 x #s(literal -5/112 binary64))))) x) x)
(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 3/40 binary64)))) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64))) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))
(log.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 6 binary64)))))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(log.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(log.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))))
(log.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))) x))

Outputs

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

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

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

Outputs

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

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

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

19 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
99.5%	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 x (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))) x)
(.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 x (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64))))) x)
(+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (*.f64 x #s(literal -5/112 binary64))))) x) x)
(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 3/40 binary64)))) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64))) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))
(log.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 6 binary64)))))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(log.f64 (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))

Outputs

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

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.3%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Counts

16 → 3

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))) x)
(.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 x (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64))))) x)
(+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (*.f64 x #s(literal -5/112 binary64))))) x) x)
(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 3/40 binary64)))) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64))) x)
(log.f64 (+.f64 x (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))
(log.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 6 binary64)))))

Outputs

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

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.3%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

13 → 3

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(+.f64 (.f64 x (.f64 x (*.f64 x #s(literal -1/6 binary64)))) x)
(.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 x (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64))))) x)
(+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x (*.f64 x #s(literal -5/112 binary64))))) x) x)
(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 3/40 binary64)))) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64))))))))
(.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (*.f64 x x))))))))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(+.f64 (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64))) x)

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.9%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
76.6%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Accuracy

Total -1.7b remaining (-5.5%)

Threshold costs -1.7b (-5.5%)

Counts

10 → 1

Calls

Call 1

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

Outputs
x

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
52.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch57.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
42.0ms	0.0040743918555170185	0.020037628586172484
13.0ms	-1.2878402739543675	-0.0054903689492610906

Results

47.0ms

208×

valid

Compiler

Compiled 515 to 326 computations (36.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-add: 35.0ms (85.3% of total)

ival-log: 2.0ms (4.9% of total)

ival-mult: 2.0ms (4.9% of total)

ival-sqrt: 2.0ms (4.9% of total)

const: 0.0ms (0% of total)

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

bsearch51.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
36.0ms	0.020037628586172484	10.04250448509653
12.0ms	-1.2878402739543675	-0.0054903689492610906

Results

16.0ms

240×

valid

Compiler

Compiled 809 to 468 computations (42.2% saved)

Precisions

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

ival-add: 2.0ms (21.5% of total)

ival-log: 2.0ms (21.5% of total)

ival-mult: 2.0ms (21.5% of total)

ival-sqrt: 2.0ms (21.5% of total)

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.020037628586172484	10.04250448509653
14.0ms	-1.2878402739543675	-0.0054903689492610906

Results

17.0ms

240×

valid

Compiler

Compiled 739 to 433 computations (41.4% saved)

Precisions

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

ival-log: 3.0ms (31.1% of total)

ival-add: 2.0ms (20.7% of total)

ival-mult: 2.0ms (20.7% of total)

ival-sqrt: 2.0ms (20.7% of total)

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.020037628586172484	10.04250448509653
13.0ms	-1.2878402739543675	-0.0054903689492610906

Results

19.0ms

240×

valid

Compiler

Compiled 723 to 425 computations (41.2% saved)

Precisions

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

ival-add: 2.0ms (20.8% of total)

ival-log: 2.0ms (20.8% of total)

ival-mult: 2.0ms (20.8% of total)

ival-sqrt: 2.0ms (20.8% of total)

const: 0.0ms (0% of total)

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

bsearch34.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.020037628586172484	10.04250448509653
16.0ms	-1.2878402739543675	-0.0054903689492610906

Results

22.0ms

240×

valid

Compiler

Compiled 643 to 369 computations (42.6% saved)

Precisions

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

ival-add: 3.0ms (30.8% of total)

ival-log: 3.0ms (30.8% of total)

ival-mult: 2.0ms (20.6% of total)

ival-sqrt: 2.0ms (20.6% of total)

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.020037628586172484	10.04250448509653
13.0ms	-1.2878402739543675	-0.0054903689492610906

Results

19.0ms

240×

valid

Compiler

Compiled 601 to 341 computations (43.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-add: 3.0ms (27.4% of total)

ival-log: 3.0ms (27.4% of total)

ival-sqrt: 3.0ms (27.4% of total)

ival-mult: 2.0ms (18.3% of total)

const: 0.0ms (0% of total)

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

bsearch53.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	0.020037628586172484	10.04250448509653
12.0ms	-1.2878402739543675	-0.0054903689492610906

Results

41.0ms

240×

valid

Compiler

Compiled 569 to 317 computations (44.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-log: 27.0ms (78.9% of total)

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

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

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

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.020037628586172484	10.04250448509653

Results

9.0ms

128×

valid

Compiler

Compiled 198 to 122 computations (38.4% saved)

Precisions

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

ival-add: 1.0ms (20.5% of total)

ival-log: 1.0ms (20.5% of total)

ival-mult: 1.0ms (20.5% of total)

ival-sqrt: 1.0ms (20.5% of total)

const: 0.0ms (0% of total)

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

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

48×	`+-commutative_binary64`
42×	`*-commutative_binary64`
16×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	437
1	127	437
2	136	437
3	148	437
4	162	437
5	172	437
6	176	437
7	177	437

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -2476979795053773/2251799813685248 binary64)) (log.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))) x)) (if (<=.f64 x #s(literal 5764607523034235/288230376151711744 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)))))))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -2476979795053773/2251799813685248 binary64)) (log.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))) x)) (if (<=.f64 x #s(literal 4458563631096791/4503599627370496 binary64)) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (.f64 x x)))))))) (log.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))))))))))
(if (<=.f64 x #s(literal -2589569785738035/2251799813685248 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 4458563631096791/4503599627370496 binary64)) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (.f64 x x)))))))) (log.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))))))
(if (<=.f64 x #s(literal -2589569785738035/2251799813685248 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 4458563631096791/4503599627370496 binary64)) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (.f64 x x)))))))) (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))))))
(if (<=.f64 x #s(literal -2589569785738035/2251799813685248 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 4728779608739021/4503599627370496 binary64)) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (.f64 x x)))))))) (log.f64 (+.f64 x (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))))
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (*.f64 x x)))))))) (log.f64 (+.f64 x (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))))
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (*.f64 x x)))))))) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) (+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64))))) x) (log.f64 (+.f64 x x)))
x

Outputs
(if (<=.f64 x #s(literal -2476979795053773/2251799813685248 binary64)) (log.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))) x)) (if (<=.f64 x #s(literal 5764607523034235/288230376151711744 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)))))))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -2476979795053773/2251799813685248 binary64)) (log.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))) x)) (if (<=.f64 x #s(literal 4458563631096791/4503599627370496 binary64)) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (.f64 x x)))))))) (log.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))))))))))
(if (<=.f64 x #s(literal -2476979795053773/2251799813685248 binary64)) (log.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))) x)) (if (<=.f64 x #s(literal 4458563631096791/4503599627370496 binary64)) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 3/40 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -5/112 binary64)))))) (log.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (*.f64 x x)))))))))))
(if (<=.f64 x #s(literal -2589569785738035/2251799813685248 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 4458563631096791/4503599627370496 binary64)) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (.f64 x x)))))))) (log.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))))))
(if (<=.f64 x #s(literal -2589569785738035/2251799813685248 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 4458563631096791/4503599627370496 binary64)) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 3/40 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -5/112 binary64)))))) (log.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))))))
(if (<=.f64 x #s(literal -2589569785738035/2251799813685248 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 4458563631096791/4503599627370496 binary64)) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (.f64 x x)))))))) (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))))))
(if (<=.f64 x #s(literal -2589569785738035/2251799813685248 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 4458563631096791/4503599627370496 binary64)) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 3/40 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -5/112 binary64)))))) (log.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (.f64 x (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))))))
(if (<=.f64 x #s(literal -2589569785738035/2251799813685248 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 4728779608739021/4503599627370496 binary64)) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (.f64 x x)))))))) (log.f64 (+.f64 x (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))))
(if (<=.f64 x #s(literal -2589569785738035/2251799813685248 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 4728779608739021/4503599627370496 binary64)) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 3/40 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal -5/112 binary64)))))) (log.f64 (+.f64 x (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))))
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (*.f64 x x)))))))) (log.f64 (+.f64 x (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))))
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 4728779608739021/4503599627370496 binary64)) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 3/40 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -5/112 binary64)))))) (log.f64 (+.f64 x (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))))
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 3/40 binary64) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x (.f64 x (*.f64 x x)))))))) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) (.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 3/40 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal -5/112 binary64)))))) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) (+.f64 (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64))))) x) (log.f64 (+.f64 x x)))
(if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) (+.f64 x (.f64 x (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64)))))) (log.f64 (+.f64 x x)))
x

soundness1.6s (16.1%)

Rules

3490×	`+-lowering-+.f64`
3490×	`+-lowering-+.f32`
3466×	`+-lowering-+.f64`
3466×	`+-lowering-+.f32`
3432×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	124
1	99	112
2	362	110
3	1278	110
4	3997	110
0	9286	110
0	122	434
1	355	365
2	1103	351
3	3794	340
0	8358	340
0	144	1533
1	371	1299
2	1067	1265
3	3293	1261
0	8351	1261
0	33	166
1	107	143
2	340	135
3	1247	128
4	5936	128
0	8397	128
0	7	8
1	13	6
2	14	6
3	15	6
0	15	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

Compiler

Compiled 898 to 395 computations (56% saved)

preprocess108.0ms (1.1%)

Compiler: Compiled 946 to 222 computations (76.5% saved)

Iter	Nodes	Cost
0	14	27
1	34	19
2	62	19
3	109	19
4	249	19
5	451	19
6	652	19
7	795	19
8	826	19
0	7	8
1	13	6
2	14	6
3	15	6
0	15	6

Iter	Nodes	Cost
0	14	27
1	34	19
2	62	19
3	109	19
4	249	19
5	451	19
6	652	19
7	795	19
8	826	19
0	7	8
1	13	6
2	14	6
3	15	6
0	15	6

analyze179.0ms (1.8%)

sample2.6s (26.6%)

preprocess26.0ms (0.3%)

explain224.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize397.0ms (4%)

series27.0ms (0.3%)

rewrite31.0ms (0.3%)

simplify246.0ms (2.5%)

eval5.0ms (0.1%)

prune13.0ms (0.1%)

simplify102.0ms (1%)

localize144.0ms (1.5%)

series63.0ms (0.6%)

rewrite290.0ms (2.9%)

simplify243.0ms (2.5%)

eval176.0ms (1.8%)

prune147.0ms (1.5%)

simplify146.0ms (1.5%)

localize172.0ms (1.7%)

series64.0ms (0.6%)

rewrite311.0ms (3.1%)

simplify200.0ms (2%)

eval177.0ms (1.8%)

prune115.0ms (1.2%)

simplify81.0ms (0.8%)

localize324.0ms (3.3%)

series11.0ms (0.1%)

rewrite360.0ms (3.6%)

simplify277.0ms (2.8%)

eval314.0ms (3.2%)

prune285.0ms (2.9%)

regimes23.0ms (0.2%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes11.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0%)

regimes5.0ms (0%)

bsearch57.0ms (0.6%)

bsearch51.0ms (0.5%)

bsearch30.0ms (0.3%)

bsearch31.0ms (0.3%)

bsearch34.0ms (0.3%)

bsearch30.0ms (0.3%)

bsearch53.0ms (0.5%)

bsearch20.0ms (0.2%)

simplify18.0ms (0.2%)

soundness1.6s (16.1%)

preprocess108.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	27
1	34	19
2	62	19
3	109	19
4	249	19
5	451	19
6	652	19
7	795	19
8	826	19
0	7	8
1	13	6
2	14	6
3	15	6
0	15	6