Metrics for Hyperbolic arcsine

analyze133.0ms (1.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
62.5%	62.5%	37.5%	0%	0%	0%	0%	5
68.8%	68.7%	31.2%	0%	0%	0%	0%	6
71.9%	71.8%	28.1%	0%	0%	0%	0%	7
73.4%	73.4%	26.5%	0%	0%	0%	0%	8
74.2%	74.2%	25.8%	0%	0%	0%	0%	9
74.6%	74.6%	25.4%	0%	0%	0%	0%	10
74.8%	74.8%	25.2%	0%	0%	0%	0%	11
74.9%	74.9%	25.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 19.0ms (35.4% of total)

ival-add: 12.0ms (22.4% of total)

ival-log: 11.0ms (20.5% of total)

ival-sqrt: 10.0ms (18.6% of total)

const: 1.0ms (1.9% of total)

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

sample2.5s (25.3%)

Results

1.3s	2790×	2	valid
698.0ms	3343×	1	valid
176.0ms	2123×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.7s

ival-log: 735.0ms (43.3% of total)

ival-add: 418.0ms (24.6% of total)

ival-sqrt: 193.0ms (11.4% of total)

ival-mult: 170.0ms (10% of total)

backward-pass: 165.0ms (9.7% of total)

const: 17.0ms (1% of total)

Bogosity

preprocess28.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

explain218.0ms (2.2%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
129	-	-	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
69	-	-	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
59	-	-	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
0	-	-	`x`
0	-	-	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`
0	-	-	`(*.f64 x x)`
0	-	-	`#s(literal 1 binary64)`

Results

103.0ms	168×	2	valid
53.0ms	204×	1	valid
16.0ms	140×	0	valid

Compiler

Compiled 80 to 23 computations (71.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-log: 38.0ms (36% of total)

ival-add: 33.0ms (31.3% of total)

backward-pass: 13.0ms (12.3% of total)

ival-mult: 11.0ms (10.4% of total)

ival-sqrt: 9.0ms (8.5% 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)

localize146.0ms (1.5%)

Localize:

Found 3 expressions of interest:

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

Results

124.0ms	187×	5	exit
7.0ms	69×	0	valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-log: 30.0ms (32.5% of total)

backward-pass: 22.0ms (23.8% of total)

compiled-spec: 20.0ms (21.7% of total)

ival-add: 9.0ms (9.8% of total)

ival-mult: 7.0ms (7.6% of total)

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

const: 1.0ms (1.1% of total)

series8.0ms (0.1%)

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
6.0ms	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))))

rewrite273.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	41	14
2	326	14
3	3609	14
0	8487	14

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 139

Calls

Call 1

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

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

simplify218.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	434
1	355	365
2	1103	351
3	3812	333
0	8439	333

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

eval20.0ms (0.2%)

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

prune61.0ms (0.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	165	10	175
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	165	11	176

Accuracy

100.0%

Counts

176 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
	31.9%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
	6.1%	(log.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
▶	23.2%	(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
▶	24.1%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
▶	23.3%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
	27.7%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
✓	31.9%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
	2.7%	(log.f64 (+.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)))
	26.8%	(log.f64 (+.f64 x x))
▶	53.0%	x

Compiler

Compiled 217 to 143 computations (34.1% saved)

simplify11.0ms (0.1%)

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

76×	`-lowering-.f32`
76×	`-lowering-.f64`
54×	`/-lowering-/.f32`
54×	`/-lowering-/.f64`
44×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	147
1	52	130
2	88	129
3	141	129
4	147	129
0	147	129

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

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

localize147.0ms (1.5%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	100.0%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (*.f64 x x))))
✓	accuracy	99.2%	(/.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	100.0%	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
✓	accuracy	99.2%	(/.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 #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

88.0ms	196×	0	invalid
22.0ms	60×	0	valid

Compiler

Compiled 176 to 25 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 13.0ms (32.2% of total)

ival-div: 9.0ms (22.3% of total)

ival-log: 6.0ms (14.9% of total)

ival-add: 5.0ms (12.4% of total)

...c/correct-round.rkt:119:19: 5.0ms (12.4% of total)

const: 1.0ms (2.5% of total)

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

series65.0ms (0.7%)

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

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 (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (+ (log 1/8) (* -3 (log x)))>
#<alt (+ (log 1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))>
#<alt (+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))>
#<alt (+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (- (+ (log -1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ 1/8 (pow x 3))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))>
#<alt -1/2>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt -1/2>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* -2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* 6 (pow x 2)) 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* (pow x 2) (+ 6 (* 40/3 (pow x 2)))) 2))))>
#<alt (+ (log -1/2) (log (/ 1 x)))>
#<alt (- (+ (log -1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log -1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (log (/ -1 x)))>
#<alt (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (- (+ (log 1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* 1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)>
#<alt (/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))>
#<alt -1/2>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))>
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))>
#<alt -1/2>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))>
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))>
#<alt (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 (/ -1/16 (pow x 4))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ -1/16 (pow x 4))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>

Calls

51 calls:

Time	Variable		Point	Expression
27.0ms	x	@	0	(log (/ -1/2 x))
19.0ms	x	@	-inf	(log (/ -1/2 x))
6.0ms	x	@	inf	(log (/ -1/2 x))
3.0ms	x	@	-inf	(* x -1/6)
1.0ms	x	@	0	(log (/ (+ (/ 1/8 (* x x)) (+ -1/2 (/ -1/16 (* x (* x (* x x)))))) x))

rewrite422.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4180×	`/-lowering-/.f32`
4180×	`/-lowering-/.f64`
3040×	`-lowering-.f32`
3040×	`-lowering-.f64`
1756×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	119
1	140	104
2	1383	103
0	8617	103

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 605

Calls

Call 1

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

Outputs
(+.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 x x)))
(+.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 x x)) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x)))) (/.f64 (.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x)) (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x))) (-.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x)))))
(fma.f64 x #s(literal 1 binary64) (.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 x x)))
(fma.f64 x (.f64 x (.f64 x #s(literal -1/6 binary64))) x)
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 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 x (.f64 x x)) #s(literal -1/6 binary64) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x)) (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x))) (.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x))))) (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal -1/216 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x))) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x)) (.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/36 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) x)))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64))))) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x)) (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x))) (.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 x x))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x)) (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x)))) (-.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 x x))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64))) x) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)))))) (neg.f64 (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x)) (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x))) (.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x)) (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x))))) (neg.f64 (-.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)))) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64))) x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)))) (.f64 x (.f64 x x))) (+.f64 (.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x)) (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x))) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 x x)) x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x)) (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x))) (.f64 x x)) (-.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (*.f64 x x)) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))) x)
(.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (-.f64 (.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x)) (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x))) (.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x)))))))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x)) (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 x x)))))
(.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))))
(.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))
(+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (neg.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))
(fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x #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 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)))) (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64))))) (neg.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (+.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal -1/216 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x #s(literal -1/6 binary64))) (+.f64 (.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64)))))))
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(.f64 (+.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))) (/.f64 (/.f64 #s(literal -1/4096 binary64) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))) (-.f64 (/.f64 #s(literal 1/256 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal -1/16 binary64) x)))))))
(.f64 (-.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))) (/.f64 #s(literal 1/256 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 (-.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1/64 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 0 binary64) x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal -1/16 binary64) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(neg.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/16 binary64) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/16 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (/.f64 #s(literal -1/16 binary64) (.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (/.f64 #s(literal -1/16 binary64) x) (*.f64 x x))))
(/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/.f64 #s(literal 1/16 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x x)) (.f64 x x))
(/.f64 (/.f64 #s(literal -1/16 binary64) x) (.f64 x (.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/16 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/16 binary64) x)) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x))))
(/.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x x))) x)
(/.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) (*.f64 x x)) x)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/16 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x x)))))
(/.f64 (neg.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal -1/16 binary64) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) x))
(.f64 #s(literal -1/16 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) x))
(.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64))
(.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (.f64 x (*.f64 x x)) #s(literal -1/16 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) x) #s(literal -1/16 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (pow.f64 (/.f64 (*.f64 x x) #s(literal -1/16 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1/16 binary64) x) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(.f64 (/.f64 #s(literal -1/16 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) x))
(.f64 (/.f64 #s(literal -1/16 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (.f64 x (*.f64 x x)) (/.f64 #s(literal -1/16 binary64) x)))))
(.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/16 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (*.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal -1/16 binary64) x))
(.f64 (/.f64 #s(literal -1/16 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) x) (.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) x) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 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)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.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))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (*.f64 x (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64))
(.f64 x (.f64 x (*.f64 x x)))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))
(.f64 (.f64 x x) (*.f64 x x))
(.f64 (.f64 x (*.f64 x x)) x)
(.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))
(.f64 (.f64 x (-.f64 #s(literal 0 binary64) x)) (*.f64 x (-.f64 #s(literal 0 binary64) x)))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 x x)))))

simplify241.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2486×	`-lowering-.f32`
2486×	`-lowering-.f64`
2250×	`+-lowering-+.f64`
2250×	`+-lowering-+.f32`
2070×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	1397
1	405	1208
2	1199	1181
3	3631	1181
0	8096	1181

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)
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log -1/2) (log (/ 1 x)))
(+ (log 1/2) (log (/ -1 x)))
(+ (log 1/2) (log (/ -1 x)))
(+ (log 1/2) (log (/ -1 x)))
(+ (log 1/2) (log (/ -1 x)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(+ (log 1/8) (* -3 (log x)))
(+ (log 1/8) (+ (* -4 (pow x 2)) (* -3 (log x))))
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+ (log -1/2) (log (/ 1 x)))
(- (+ (log -1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1/2) (+ (log (/ 1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ 1/8 (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/ 1/8 (pow x 2))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* -2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* 6 (pow x 2)) 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (- (* (pow x 2) (+ 6 (* 40/3 (pow x 2)))) 2))))
(+ (log -1/2) (log (/ 1 x)))
(- (+ (log -1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log -1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log -1/2) (+ (log (/ 1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 5))
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/ -1/16 (pow x 4))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(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)
(/ -1/16 (pow x 4))
(/ -1/16 (pow x 4))
(/ -1/16 (pow x 4))
(/ -1/16 (pow x 4))
(/ -1/16 (pow x 4))
(/ -1/16 (pow x 4))
(/ -1/16 (pow x 4))
(/ -1/16 (pow x 4))
(/ -1/16 (pow x 4))
(/ -1/16 (pow x 4))
(/ -1/16 (pow x 4))
(/ -1/16 (pow x 4))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)

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

eval166.0ms (1.7%)

Compiler: Compiled 27079 to 2676 computations (90.1% saved)

prune123.0ms (1.2%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	895	1	896
Fresh	0	5	5
Picked	0	5	5
Done	0	1	1
Total	895	12	907

Accuracy

100.0%

Counts

907 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
▶	23.4%	(neg.f64 (log.f64 (/.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x))))))))
▶	31.9%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
	6.1%	(log.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
✓	23.2%	(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
✓	24.1%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
✓	23.3%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
▶	27.7%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
✓	31.9%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
▶	2.7%	(log.f64 (+.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)))
▶	26.8%	(log.f64 (+.f64 x x))
✓	53.0%	x

Compiler

Compiled 212 to 138 computations (34.9% saved)

simplify251.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
✓	cost-diff	0	(+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))
✓	cost-diff	0	(/.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x))))))
✓	cost-diff	0	(log.f64 (/.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
✓	cost-diff	0	(-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)
✓	cost-diff	0	(log.f64 (+.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)))
✓	cost-diff	256	(+.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(log.f64 (+.f64 x x))
✓	cost-diff	0	(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
✓	cost-diff	192	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))

Rules

1878×	`fmsub-define`
1860×	`fma-lowering-fma.f32`
1860×	`fma-lowering-fma.f64`
1772×	`fmm-def`
1742×	`fnmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	215
1	71	201
2	115	195
3	165	189
4	228	189
5	639	189
6	2057	189
7	4430	189
0	8127	189

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize184.0ms (1.8%)

Localize:

Found 18 expressions of interest:

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

Results

137.0ms

256×

invalid

Compiler

Compiled 250 to 33 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 15.0ms (21.3% of total)

ival-log: 13.0ms (18.5% of total)

compiled-spec: 13.0ms (18.5% of total)

ival-div: 12.0ms (17.1% of total)

ival-add: 10.0ms (14.2% of total)

ival-sqrt: 2.0ms (2.8% of total)

ival-neg: 2.0ms (2.8% of total)

ival-sub: 1.0ms (1.4% of total)

const: 1.0ms (1.4% of total)

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

series88.0ms (0.9%)

Counts

21 → 252

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))>
#<alt (* -1 (+ (log 1/2) (log (/ 1 x))))>
#<alt (- (* 1/4 (/ 1 (pow x 2))) (+ (log 1/2) (log (/ 1 x))))>
#<alt (- (* 1/4 (/ 1 (pow x 2))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))))>
#<alt (- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))))>
#<alt (* -1 (+ (log 2) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/6 (pow x 2)) 1))>
#<alt (* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))>
#<alt (* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))>
#<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 (+ (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 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 1)))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)>
#<alt (* -2 x)>
#<alt (* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))>
#<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 (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (+ (log 1/2) (* -1 (log x)))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* 4 (pow x 2))))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* -8 (pow x 2))))))>
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 64/3 (pow x 2)) 8))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 2 (pow x 2))) x)>
#<alt (/ (+ 1/2 (* 2 (pow x 2))) x)>
#<alt (/ (+ 1/2 (* 2 (pow x 2))) x)>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 1/2 x)>
#<alt (/ 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 (+ (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 (* (pow x 2) (- (* -1 (pow x 2)) 1/2))) (pow x 3))>
#<alt (/ (+ 1/8 (* (pow x 2) (- (* -1 (pow x 2)) 1/2))) (pow x 3))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<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 (+ (log -16) (* 5 (log x)))>
#<alt (+ (log -16) (+ (* 2 (pow x 2)) (* 5 (log x))))>
#<alt (+ (log -16) (+ (* 5 (log x)) (* (pow x 2) (+ 2 (* -6 (pow x 2))))))>
#<alt (+ (log -16) (+ (* 5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (- (* -40/3 (pow x 2)) 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 (/ (+ 3/32 (* 5/192 (/ 1 (pow x 2)))) (pow x 4))) (* 1/4 (/ 1 (pow x 2))))))>
#<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 (/ (+ 3/32 (* 5/192 (/ 1 (pow x 2)))) (pow x 4))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -16 (pow x 5))>
#<alt (* (pow x 5) (- (* -32 (pow x 2)) 16))>
#<alt (* (pow x 5) (- (* (pow x 2) (- (* 64 (pow x 2)) 32)) 16))>
#<alt (* (pow x 5) (- (* (pow x 2) (- (* (pow x 2) (+ 64 (* 384 (pow x 2)))) 32)) 16))>
#<alt (* -2 x)>
#<alt (* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* x (- (+ (/ 1/8 (pow x 4)) (* 3/32 (/ 1 (pow x 6)))) (+ 2 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -2 x)>
#<alt (* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))>
#<alt (* -1 (* x (+ 2 (+ (* -1 (/ (+ 1/8 (* 3/32 (/ 1 (pow x 2)))) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))>
#<alt (/ -1/16 (pow x 4))>
#<alt (/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))>
#<alt (/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))>
#<alt -1/2>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))>
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))>
#<alt -1/2>
#<alt (- (* 1/8 (/ 1 (pow x 2))) 1/2)>
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))>
#<alt (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ (+ 1/8 (* -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 (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 (+ (log -16) (* 5 (log x))))>
#<alt (- (* -2 (pow x 2)) (+ (log -16) (* 5 (log x))))>
#<alt (- (* (pow x 2) (- (* 6 (pow x 2)) 2)) (+ (log -16) (* 5 (log x))))>
#<alt (- (* (pow x 2) (- (* (pow x 2) (+ 6 (* 40/3 (pow x 2)))) 2)) (+ (log -16) (* 5 (log x))))>
#<alt (* -1 (+ (log -2) (* -1 (log (/ 1 x)))))>
#<alt (* -1 (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (/ 3/32 (pow x 4)) (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))) (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (* -1 (+ (log 2) (* -1 (log (/ -1 x)))))>
#<alt (* -1 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (- (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (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)>

Calls

63 calls:

Time	Variable		Point	Expression
29.0ms	x	@	-inf	(log (+ x x))
23.0ms	x	@	0	(log (+ x x))
6.0ms	x	@	inf	(log (+ x x))
1.0ms	x	@	0	(log (/ x (+ (+ -1/2 (/ 1/8 (* x x))) (/ -1/16 (* x (* x (* x x)))))))
1.0ms	x	@	0	(neg (log (/ 1 (+ x (sqrt (+ (* 1 1) (* x x)))))))

rewrite216.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1090×	`-lowering-.f32`
1090×	`-lowering-.f64`
1062×	`/-lowering-/.f32`
1062×	`/-lowering-/.f64`
544×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	161
1	207	146
0	2448	146

Stop Event

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

Counts

21 → 641

Calls

Call 1

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

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

simplify337.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

5712×	`+-lowering-+.f64`
5712×	`+-lowering-+.f32`
2128×	`-lowering-.f32`
2128×	`-lowering-.f64`
1954×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	351	2391
1	1054	2063
2	3480	2026
0	8111	2026

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

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))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(- (* 1/4 (/ 1 (pow x 2))) (+ (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))) (* 5/96 (/ 1 (pow x 6)))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(* -1 (+ (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))))))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(* -1 x)
(* x (- (* 1/6 (pow x 2)) 1))
(* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))
(* x (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))
(+ (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)))))
(+ (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)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 1)))
(/ 1/2 x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)
(* -2 x)
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
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))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(+ (log 1/2) (* -1 (log x)))
(+ (log 1/2) (+ (* -1 (log x)) (* 4 (pow x 2))))
(+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* -8 (pow x 2))))))
(+ (log 1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 64/3 (pow x 2)) 8))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))
(/ 1/2 x)
(/ (+ 1/2 (* 2 (pow x 2))) x)
(/ (+ 1/2 (* 2 (pow x 2))) x)
(/ (+ 1/2 (* 2 (pow x 2))) x)
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 1/2 x)
(/ 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))
(+ (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 (* (pow x 2) (- (* -1 (pow x 2)) 1/2))) (pow x 3))
(/ (+ 1/8 (* (pow x 2) (- (* -1 (pow x 2)) 1/2))) (pow x 3))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(/ 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))
(+ (log -16) (* 5 (log x)))
(+ (log -16) (+ (* 2 (pow x 2)) (* 5 (log x))))
(+ (log -16) (+ (* 5 (log x)) (* (pow x 2) (+ 2 (* -6 (pow x 2))))))
(+ (log -16) (+ (* 5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (- (* -40/3 (pow x 2)) 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 (/ (+ 3/32 (* 5/192 (/ 1 (pow x 2)))) (pow x 4))) (* 1/4 (/ 1 (pow x 2))))))
(+ (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 (/ (+ 3/32 (* 5/192 (/ 1 (pow x 2)))) (pow x 4))) (* 1/4 (/ 1 (pow x 2))))))
(* -16 (pow x 5))
(* (pow x 5) (- (* -32 (pow x 2)) 16))
(* (pow x 5) (- (* (pow x 2) (- (* 64 (pow x 2)) 32)) 16))
(* (pow x 5) (- (* (pow x 2) (- (* (pow x 2) (+ 64 (* 384 (pow x 2)))) 32)) 16))
(* -2 x)
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* x (- (+ (/ 1/8 (pow x 4)) (* 3/32 (/ 1 (pow x 6)))) (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* -2 x)
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (+ 2 (+ (* -1 (/ (+ 1/8 (* 3/32 (/ 1 (pow x 2)))) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
(/ -1/16 (pow x 4))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
-1/2
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(/ 1/8 (pow x 2))
(/ (+ 1/8 (* -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)
(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 (+ (log -16) (* 5 (log x))))
(- (* -2 (pow x 2)) (+ (log -16) (* 5 (log x))))
(- (* (pow x 2) (- (* 6 (pow x 2)) 2)) (+ (log -16) (* 5 (log x))))
(- (* (pow x 2) (- (* (pow x 2) (+ 6 (* 40/3 (pow x 2)))) 2)) (+ (log -16) (* 5 (log x))))
(* -1 (+ (log -2) (* -1 (log (/ 1 x)))))
(* -1 (+ (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))))))
(- (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))) (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(* -1 (+ (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))))))
(- (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (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)

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 x (*.f64 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))))))))
(* -1 (+ (log 1/2) (log (/ 1 x))))
(-.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64)))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log 1/2) (log (/ 1 x))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))))
(- (* 1/4 (/ 1 (pow x 2))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (-.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -3/32 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(- (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))) (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (-.f64 (log.f64 x) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -3/32 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 2 binary64)))
(* -1 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (.f64 x x))))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 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 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 1/6 (pow x 2)) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(* x (- (* (pow x 2) (+ 1/6 (* -3/40 (pow x 2)))) 1))
(.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 (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 5/112 (pow x 2)) 3/40)))) 1))
(.f64 x (+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (+.f64 #s(literal -3/40 binary64) (.f64 (*.f64 x x) #s(literal 5/112 binary64)))))))))
(+ (log 1/2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))
(- (+ (log 1/2) (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 x)))
(- (+ (log 1/2) (+ (log (/ 1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (log.f64 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 #s(literal 1/2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (log.f64 x))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 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 (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -3/32 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -3/32 binary64) (.f64 (.f64 x x) (.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/8 (pow x 2)))) 1)))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) x)
(/ (- (+ 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 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (/.f64 #s(literal -5/128 binary64) (pow.f64 x #s(literal 6 binary64))))) x)
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
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(+ (log -16) (+ (* 5 (log x)) (* (pow x 2) (+ 2 (* -6 (pow x 2))))))
(+.f64 (+.f64 (log.f64 #s(literal -16 binary64)) (.f64 (log.f64 x) #s(literal 5 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal -6 binary64)))))
(+ (log -16) (+ (* 5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (- (* -40/3 (pow x 2)) 6))))))
(+.f64 (log.f64 #s(literal -16 binary64)) (+.f64 (.f64 (log.f64 x) #s(literal 5 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -6 binary64) (.f64 (*.f64 x x) #s(literal -40/3 binary64))))))))
(+ (log -2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64)))
(+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))))
(- (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))) (/.f64 #s(literal -3/32 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(+ (log -2) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (+ 3/32 (* 5/192 (/ 1 (pow x 2)))) (pow x 4))) (* 1/4 (/ 1 (pow x 2))))))
(+.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))) (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 5/192 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))))
(+ (log 2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -3/32 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* -1 (/ (+ 3/32 (* 5/192 (/ 1 (pow x 2)))) (pow x 4))) (* 1/4 (/ 1 (pow x 2))))))
(+.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 (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 5/192 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))))
(* -16 (pow x 5))
(*.f64 #s(literal -16 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* -32 (pow x 2)) 16))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -16 binary64) (.f64 (*.f64 x x) #s(literal -32 binary64))))
(* (pow x 5) (- (* (pow x 2) (- (* 64 (pow x 2)) 32)) 16))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -16 binary64) (.f64 x (.f64 x (+.f64 #s(literal -32 binary64) (.f64 (*.f64 x x) #s(literal 64 binary64)))))))
(* (pow x 5) (- (* (pow x 2) (- (* (pow x 2) (+ 64 (* 384 (pow x 2)))) 32)) 16))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal -16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -32 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 64 binary64) (.f64 (*.f64 x x) #s(literal 384 binary64))))))))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(* x (- (+ (/ 1/8 (pow x 4)) (* 3/32 (/ 1 (pow x 6)))) (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(.f64 x (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (neg.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) (*.f64 x x))))))
(* -1 (* x (+ 2 (+ (* -1 (/ (+ 1/8 (* 3/32 (/ 1 (pow x 2)))) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))))
(.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 3/32 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))))
(/ -1/16 (pow x 4))
(/.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (*.f64 x x)))
(/ (- (* 1/8 (pow x 2)) 1/16) (pow x 4))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x #s(literal 1/8 binary64)))) (.f64 (.f64 x x) (*.f64 x x)))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))) (.f64 (.f64 x x) (*.f64 x x)))
(/ (- (* (pow x 2) (+ 1/8 (* -1/2 (pow x 2)))) 1/16) (pow x 4))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))))) (.f64 (.f64 x x) (*.f64 x x)))
-1/2
#s(literal -1/2 binary64)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))))
-1/2
#s(literal -1/2 binary64)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (*.f64 x x))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (*.f64 x x))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 2))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x #s(literal -1/2 binary64)))) (*.f64 x x))
-1/2
#s(literal -1/2 binary64)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(- (* 1/8 (/ 1 (pow x 2))) 1/2)
(+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1 (+ (log -16) (* 5 (log x))))
(-.f64 (*.f64 (log.f64 x) #s(literal -5 binary64)) (log.f64 #s(literal -16 binary64)))
(- (* -2 (pow x 2)) (+ (log -16) (* 5 (log x))))
(+.f64 (.f64 x (.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 (log.f64 x) #s(literal -5 binary64)) (log.f64 #s(literal -16 binary64))))
(- (* (pow x 2) (- (* 6 (pow x 2)) 2)) (+ (log -16) (* 5 (log x))))
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))) (-.f64 (*.f64 (log.f64 x) #s(literal -5 binary64)) (log.f64 #s(literal -16 binary64))))
(- (* (pow x 2) (- (* (pow x 2) (+ 6 (* 40/3 (pow x 2)))) 2)) (+ (log -16) (* 5 (log x))))
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -2 binary64) (.f64 x (.f64 x (+.f64 #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal 40/3 binary64))))))) (-.f64 (*.f64 (log.f64 x) #s(literal -5 binary64)) (log.f64 #s(literal -16 binary64))))
(* -1 (+ (log -2) (* -1 (log (/ 1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (log.f64 #s(literal -2 binary64)))
(* -1 (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))
(-.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal -2 binary64)))
(- (/ 3/32 (pow x 4)) (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))
(+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (log.f64 x)) (log.f64 #s(literal -2 binary64))))
(- (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))) (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))
(+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 #s(literal 5/192 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (log.f64 x)) (log.f64 #s(literal -2 binary64)))))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 2 binary64)))
(* -1 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(- (/ 3/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (.f64 x x))))
(- (+ (/ 3/32 (pow x 4)) (* 5/192 (/ 1 (pow x 6)))) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 5/192 binary64) (pow.f64 x #s(literal 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))

eval131.0ms (1.3%)

Compiler: Compiled 17686 to 2342 computations (86.8% saved)

prune88.0ms (0.9%)

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	955	2	957
Fresh	0	1	1
Picked	2	3	5
Done	0	6	6
Total	957	12	969

Accuracy

100.0%

Counts

969 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
✓	31.9%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
▶	23.3%	(neg.f64 (log.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))))
▶	23.9%	(neg.f64 (log.f64 (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))))
▶	6.1%	(log.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
✓	23.2%	(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
✓	24.1%	(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
✓	23.3%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	27.7%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
✓	31.9%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
✓	26.8%	(log.f64 (+.f64 x x))
✓	53.0%	x

Compiler

Compiled 131 to 86 computations (34.4% saved)

simplify189.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

1982×	`sum4-define`
1914×	`fma-lowering-fma.f32`
1914×	`fma-lowering-fma.f64`
1556×	`-lowering-.f32`
1556×	`-lowering-.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	24	173
1	71	169
2	165	151
3	328	142
4	602	142
5	1208	137
6	6285	137
0	8132	137

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(log (/ (- (* x x) (+ 1 (* x x))) (- x (sqrt (+ (* 1 1) (* x x))))))
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(/ (- (* x x) (+ 1 (* x x))) (- x (sqrt (+ (* 1 1) (* x x)))))
(/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(- (* x x) (+ 1 (* x x)))
#s(literal -1 binary64)
(* x x)
(*.f64 x x)
x
(+ 1 (* x x))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- x (sqrt (+ (* 1 1) (* x x))))
(-.f64 x (hypot.f64 #s(literal 1 binary64) x))
(sqrt (+ (* 1 1) (* x x)))
(hypot.f64 #s(literal 1 binary64) x)
(neg (log (* x (+ -2 (/ -1/2 (* x x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x))))
(log (* x (+ -2 (/ -1/2 (* x x)))))
(log.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)))
(* x (+ -2 (/ -1/2 (* x x))))
(+.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
x
(+ -2 (/ -1/2 (* x x)))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
-2
#s(literal -2 binary64)
(/ -1/2 (* x x))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
-1/2
#s(literal -1/2 binary64)
(* x x)
(*.f64 x x)
(neg (log (* x (+ (/ 1/8 (* (* x x) (* x x))) (+ -2 (/ -1/2 (* x x)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))))
(log (* x (+ (/ 1/8 (* (* x x) (* x x))) (+ -2 (/ -1/2 (* x x))))))
(log.f64 (+.f64 (.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)))
(* x (+ (/ 1/8 (* (* x x) (* x x))) (+ -2 (/ -1/2 (* x x)))))
(+.f64 (.f64 x #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
x
(+ (/ 1/8 (* (* x x) (* x x))) (+ -2 (/ -1/2 (* x x))))
(+.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
(/ 1/8 (* (* x x) (* x x)))
(/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
1/8
#s(literal 1/8 binary64)
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 x x)))
(* x x)
(*.f64 x x)
(+ -2 (/ -1/2 (* x x)))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
-2
#s(literal -2 binary64)
(/ -1/2 (* x x))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
-1/2
#s(literal -1/2 binary64)

localize202.0ms (2%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
✓	accuracy	99.9%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	99.8%	(/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (*.f64 x x)))
✓	accuracy	99.2%	(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(neg.f64 (log.f64 (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))))
✓	accuracy	100.0%	(log.f64 (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))
✓	accuracy	99.2%	(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(log.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
✓	accuracy	100.0%	(-.f64 x (hypot.f64 #s(literal 1 binary64) x))
✓	accuracy	78.5%	(-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))

Results

93.0ms	196×	0	invalid
35.0ms	26×	2	valid
28.0ms	32×	1	valid
1.0ms	2×	0	valid

Compiler

Compiled 220 to 24 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 26.0ms (28.6% of total)

compiled-spec: 18.0ms (19.8% of total)

backward-pass: 11.0ms (12.1% of total)

ival-log: 11.0ms (12.1% of total)

ival-div: 8.0ms (8.8% of total)

ival-add: 7.0ms (7.7% of total)

ival-sub: 4.0ms (4.4% of total)

ival-sqrt: 3.0ms (3.3% of total)

ival-neg: 3.0ms (3.3% of total)

const: 1.0ms (1.1% of total)

series20.0ms (0.2%)

Counts

15 → 180

Calls

Call 1

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

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

45 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	(/ (- (* x x) (+ 1 (* x x))) (- x (sqrt (+ (* 1 1) (* x x)))))
0.0ms	x	@	0	(* x (+ -2 (/ -1/2 (* x x))))
0.0ms	x	@	-inf	(log (* x (+ (/ 1/8 (* (* x x) (* x x))) (+ -2 (/ -1/2 (* x x))))))
0.0ms	x	@	inf	(* x (+ -2 (/ -1/2 (* x x))))
0.0ms	x	@	0	(log (/ (- (* x x) (+ 1 (* x x))) (- x (sqrt (+ (* 1 1) (* x x))))))

rewrite359.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3732×	`/-lowering-/.f32`
3732×	`/-lowering-/.f64`
2986×	`-lowering-.f32`
2986×	`-lowering-.f64`
1606×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	127
1	163	108
2	1716	98
0	8654	98

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 541

Calls

Call 1

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

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

simplify319.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

4380×	`+-lowering-+.f64`
4380×	`+-lowering-+.f32`
2664×	`-lowering-.f32`
2664×	`-lowering-.f64`
1884×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	242	1646
1	742	1390
2	2383	1331
0	8138	1331

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
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))
(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)
(/ -1/2 x)
(/ (- (* -2 (pow x 2)) 1/2) x)
(/ (- (* -2 (pow x 2)) 1/2) x)
(/ (- (* -2 (pow x 2)) 1/2) x)
(* -2 x)
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* -2 x)
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(+ (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 (pow x 2))
(/ (- (* -2 (pow x 2)) 1/2) (pow x 2))
(/ (- (* -2 (pow x 2)) 1/2) (pow x 2))
(/ (- (* -2 (pow x 2)) 1/2) (pow x 2))
-2
(* -1 (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (+ 2 (* 1/2 (/ 1 (pow x 2)))))
-2
(* -1 (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ -1/2 (pow x 2))
(/ 1/8 (pow x 3))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/ (+ 1/8 (* (pow x 2) (- (* -2 (pow x 2)) 1/2))) (pow x 3))
(/ (+ 1/8 (* (pow x 2) (- (* -2 (pow x 2)) 1/2))) (pow x 3))
(* -2 x)
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* -2 x)
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(/ 1/8 (pow x 4))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 4))
(/ (+ 1/8 (* (pow x 2) (- (* -2 (pow x 2)) 1/2))) (pow x 4))
(/ (+ 1/8 (* (pow x 2) (- (* -2 (pow x 2)) 1/2))) (pow x 4))
-2
(* -1 (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))
-2
(* -1 (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(+ (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 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))
-1
(- x 1)
(- (* x (+ 1 (* -1/2 x))) 1)
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(/ -1/2 x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
(* -1 (+ (log -1/2) (* -1 (log x))))
(- (* -4 (pow x 2)) (+ (log -1/2) (* -1 (log x))))
(- (* (pow x 2) (- (* 8 (pow x 2)) 4)) (+ (log -1/2) (* -1 (log x))))
(- (* (pow x 2) (- (* (pow x 2) (+ 8 (* -64/3 (pow x 2)))) 4)) (+ (log -1/2) (* -1 (log x))))
(* -1 (+ (log -2) (* -1 (log (/ 1 x)))))
(* -1 (+ (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))))))
(- (/ 1/32 (pow x 4)) (+ (log -2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(* -1 (+ (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))))))
(- (/ 1/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))))
(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
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 x x) #s(literal 3/40 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.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 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (.f64 x x)))) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (.f64 x x)))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64))))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x x) #s(literal -1/8 binary64)))))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(.f64 x (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #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 -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x))))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f64 (+.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x 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)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* -2 (pow x 2)) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))) x)
(/ (- (* -2 (pow x 2)) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))) x)
(/ (- (* -2 (pow x 2)) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))) x)
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(.f64 x (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(.f64 x (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(.f64 x (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(.f64 x (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(.f64 x (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(.f64 x (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(+ (log -1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (+ (* -1 (log x)) (* 4 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (log.f64 x)))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* -8 (pow x 2))))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal -8 binary64)))) (log.f64 x)))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 64/3 (pow x 2)) 8))))))
(+.f64 (-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x)) (.f64 x (.f64 x (+.f64 #s(literal 4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -8 binary64) (.f64 (.f64 x x) #s(literal 64/3 binary64))))))))
(+ (log -2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64)))
(+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))))
(- (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 1/32 (pow x 4)))
(+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal -2 binary64)) (/.f64 #s(literal -1/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(- (+ (log -2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))
(+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/192 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (log.f64 #s(literal -2 binary64)) (/.f64 #s(literal -1/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(+ (log 2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f64 (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))))) (/ 1/32 (pow x 4)))
(+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/32 binary64) (.f64 x (.f64 x (.f64 x x))))))
(- (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))) (/ 1/32 (pow x 4)))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 1/192 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ (- (* -2 (pow x 2)) 1/2) (pow x 2))
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/ (- (* -2 (pow x 2)) 1/2) (pow x 2))
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/ (- (* -2 (pow x 2)) 1/2) (pow x 2))
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(* -1 (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(* -1 (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(* -1 (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(* -1 (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ -1/2 (pow x 2))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(/ 1/8 (pow x 3))
(/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x x)))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 3))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x (.f64 x x)))
(/ (+ 1/8 (* (pow x 2) (- (* -2 (pow x 2)) 1/2))) (pow x 3))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))))) (.f64 x (.f64 x x)))
(/ (+ 1/8 (* (pow x 2) (- (* -2 (pow x 2)) 1/2))) (pow x 3))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))))) (.f64 x (.f64 x x)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(.f64 x (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(.f64 x (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(.f64 x (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))
(.f64 x (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(.f64 x (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* -1 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(.f64 x (-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(/ 1/8 (pow x 4))
(/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 1/8 (* -1/2 (pow x 2))) (pow x 4))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) #s(literal -1/2 binary64))) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 1/8 (* (pow x 2) (- (* -2 (pow x 2)) 1/2))) (pow x 4))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))))) (.f64 x (.f64 x (*.f64 x x))))
(/ (+ 1/8 (* (pow x 2) (- (* -2 (pow x 2)) 1/2))) (pow x 4))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal -2 binary64)))))) (.f64 x (.f64 x (*.f64 x x))))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
-2
#s(literal -2 binary64)
(* -1 (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.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 (+.f64 (log.f64 #s(literal 1/8 binary64)) (.f64 (log.f64 x) #s(literal -3 binary64))) (.f64 (*.f64 x x) #s(literal -4 binary64)))
(+ (log 1/8) (+ (* -3 (log x)) (* (pow x 2) (- (* -24 (pow x 2)) 4))))
(+.f64 (+.f64 (log.f64 #s(literal 1/8 binary64)) (.f64 (log.f64 x) #s(literal -3 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal -4 binary64) (.f64 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 (.f64 (log.f64 x) #s(literal -3 binary64)) (+.f64 (log.f64 #s(literal 1/8 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal -4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -24 binary64) (.f64 (*.f64 x x) #s(literal -256/3 binary64))))))))
(+ (log -2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64)))
(+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))))
(- (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64)))) (/.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 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (+.f64 (log.f64 x) (/.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (log.f64 #s(literal -2 binary64)) (/.f64 #s(literal -3/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(+ (log 2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (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 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 6 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -3/32 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))))
(/ 1/8 (pow x 4))
(/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- (* x (+ 1 (* -1/2 x))) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal -1/2 binary64)))))
(- (* x (+ 1 (* x (- (* 1/8 (pow x 2)) 1/2)))) 1)
(+.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 1/8 binary64))))))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ (- (* 1/8 (/ 1 (pow x 2))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x))))) x)
(/ (- (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6)))) (+ 1/2 (/ 1/16 (pow x 4)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (* 1/2 (/ 1 (pow x 2)))))))
(.f64 x (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))))))
(.f64 x (+.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* -1 (+ (log -1/2) (* -1 (log x))))
(-.f64 (log.f64 x) (log.f64 #s(literal -1/2 binary64)))
(- (* -4 (pow x 2)) (+ (log -1/2) (* -1 (log x))))
(+.f64 (.f64 (.f64 x x) #s(literal -4 binary64)) (-.f64 (log.f64 x) (log.f64 #s(literal -1/2 binary64))))
(- (* (pow x 2) (- (* 8 (pow x 2)) 4)) (+ (log -1/2) (* -1 (log x))))
(+.f64 (.f64 x (.f64 x (+.f64 #s(literal -4 binary64) (.f64 (.f64 x x) #s(literal 8 binary64))))) (-.f64 (log.f64 x) (log.f64 #s(literal -1/2 binary64))))
(- (* (pow x 2) (- (* (pow x 2) (+ 8 (* -64/3 (pow x 2)))) 4)) (+ (log -1/2) (* -1 (log x))))
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 8 binary64) (.f64 (.f64 x x) #s(literal -64/3 binary64)))))) (-.f64 (log.f64 x) (log.f64 #s(literal -1/2 binary64))))
(* -1 (+ (log -2) (* -1 (log (/ 1 x)))))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal -2 binary64)))
(* -1 (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64))))
(- (/ 1/32 (pow x 4)) (+ (log -2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))
(+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64)))))
(- (/ 1/32 (pow x 4)) (+ (log -2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))))
(+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (.f64 x x)) (+.f64 (log.f64 x) (log.f64 #s(literal -2 binary64)))) (/.f64 #s(literal 1/192 binary64) (pow.f64 x #s(literal 6 binary64)))))
(* -1 (+ (log 2) (* -1 (log (/ -1 x)))))
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 2 binary64)))
(* -1 (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(- (/ 1/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))))
(+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/4 binary64) (.f64 x x))))
(- (/ 1/32 (pow x 4)) (+ (log 2) (+ (* -1 (log (/ -1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 1/192 (/ 1 (pow x 6)))))))
(+.f64 (/.f64 #s(literal 1/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (.f64 x x))) (/.f64 #s(literal 1/192 binary64) (pow.f64 x #s(literal 6 binary64))))))
(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)))

eval112.0ms (1.1%)

Compiler: Compiled 28781 to 3261 computations (88.7% saved)

prune153.0ms (1.5%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	908	4	912
Fresh	0	0	0
Picked	3	0	3
Done	3	6	9
Total	914	10	924

Accuracy

100.0%

Counts

924 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
	22.8%	(neg.f64 (log.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))) x) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (-.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))))))
	24.1%	(neg.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal -2 binary64)))))
	23.5%	(neg.f64 (log.f64 (+.f64 (.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) x) (/.f64 #s(literal -1/2 binary64) x))))
✓	23.3%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
	27.6%	(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
✓	27.7%	(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
✓	31.9%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
✓	26.8%	(log.f64 (+.f64 x x))
✓	53.0%	x

Compiler

Compiled 472 to 177 computations (62.5% saved)

regimes19.0ms (0.2%)

Counts

19 → 3

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(neg.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal -2 binary64)))))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(neg.f64 (log.f64 (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))))
(log.f64 (+.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)))
(neg.f64 (log.f64 (+.f64 (.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) x) (/.f64 #s(literal -1/2 binary64) x))))
(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
(neg.f64 (log.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))))
(neg.f64 (log.f64 (/.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(neg.f64 (log.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))) x) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (-.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))))))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(log.f64 (/.f64 (-.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))

Outputs

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

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

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

Calls

3 calls:

7.0ms	x
5.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
5.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
87.9%	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
87.9%	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

15 → 3

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(neg.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal -2 binary64)))))
(log.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(neg.f64 (log.f64 (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))))))
(log.f64 (+.f64 x (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)))
(neg.f64 (log.f64 (+.f64 (.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) x) (/.f64 #s(literal -1/2 binary64) x))))
(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x)))))) x))
(neg.f64 (log.f64 (.f64 x (+.f64 (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))))
(neg.f64 (log.f64 (/.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) (/.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(neg.f64 (log.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x)))))) x) (+.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (-.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) (.f64 x x))) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))))))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))

Outputs

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

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.6%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.4%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.4%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
77.8%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -1.5b remaining (-5%)

Threshold costs -1.5b (-5%)

Counts

2 → 1

Calls

Call 1

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

Outputs
x

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
53.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.4843235943490019e-6	2791581.3976993305
16.0ms	-6.465083186712494	-1.9298271736454095e-9

Results

21.0ms

304×

valid

Compiler

Compiled 413 to 314 computations (24% saved)

Precisions

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

ival-add: 3.0ms (25% of total)

ival-log: 3.0ms (25% of total)

ival-mult: 3.0ms (25% of total)

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

const: 0.0ms (0% of total)

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

bsearch36.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.4843235943490019e-6	2791581.3976993305
15.0ms	-6.465083186712494	-1.9298271736454095e-9

Results

22.0ms

304×

valid

Compiler

Compiled 512 to 377 computations (26.4% saved)

Precisions

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

ival-add: 4.0ms (30.5% of total)

ival-log: 3.0ms (22.8% of total)

ival-mult: 3.0ms (22.8% of total)

ival-sqrt: 2.0ms (15.2% of total)

const: 0.0ms (0% of total)

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

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.4843235943490019e-6	2791581.3976993305
17.0ms	-6.465083186712494	-1.9298271736454095e-9

Results

23.0ms

304×

valid

Compiler

Compiled 422 to 323 computations (23.5% saved)

Precisions

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

ival-add: 3.0ms (25.1% of total)

ival-log: 3.0ms (25.1% of total)

ival-mult: 3.0ms (25.1% of total)

ival-sqrt: 2.0ms (16.8% of total)

const: 0.0ms (0% of total)

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

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.4843235943490019e-6	2791581.3976993305
18.0ms	-6.465083186712494	-1.9298271736454095e-9

Results

23.0ms

304×

valid

Compiler

Compiled 377 to 287 computations (23.9% saved)

Precisions

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

ival-add: 3.0ms (25% of total)

ival-log: 3.0ms (25% of total)

ival-mult: 3.0ms (25% of total)

ival-sqrt: 2.0ms (16.7% of total)

const: 0.0ms (0% of total)

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

bsearch125.0ms (1.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.4843235943490019e-6	2791581.3976993305
102.0ms	-6.465083186712494	-1.9298271736454095e-9

Results

25.0ms

304×

valid

Compiler

Compiled 337 to 247 computations (26.7% saved)

Precisions

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

ival-mult: 7.0ms (44.6% of total)

ival-add: 3.0ms (19.1% of total)

ival-log: 3.0ms (19.1% of total)

ival-sqrt: 2.0ms (12.7% of total)

const: 0.0ms (0% of total)

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

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	1.4843235943490019e-6	2791581.3976993305

Results

11.0ms

160×

valid

Compiler

Compiled 104 to 70 computations (32.7% saved)

Precisions

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

ival-add: 2.0ms (29.8% of total)

ival-log: 2.0ms (29.8% of total)

ival-mult: 1.0ms (14.9% of total)

ival-sqrt: 1.0ms (14.9% of total)

const: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
18×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	175
1	80	175
2	87	175
3	91	175
4	92	175

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -6456360425798343/9223372036854775808 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -8106479329266893/9007199254740992 binary64)) (neg.f64 (log.f64 (+.f64 (.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) x) (/.f64 #s(literal -1/2 binary64) x)))) (if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -1080863910568919/1125899906842624 binary64)) (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal -2 binary64))))) (if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 5/4 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal 5/4 binary64)) x (log.f64 (+.f64 x x)))
x

Outputs
(if (<=.f64 x #s(literal -6456360425798343/9223372036854775808 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -8106479329266893/9007199254740992 binary64)) (neg.f64 (log.f64 (+.f64 (.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x))))) x) (/.f64 #s(literal -1/2 binary64) x)))) (if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -8106479329266893/9007199254740992 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal -1/2 binary64) x)))) (if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -1080863910568919/1125899906842624 binary64)) (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal -2 binary64))))) (if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -1080863910568919/1125899906842624 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal -2 binary64))))) (if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (log.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x #s(literal -1/6 binary64))))) (log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)))))
(if (<=.f64 x #s(literal -5/4 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 5/4 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x #s(literal -1/6 binary64))))) (log.f64 (+.f64 x x))))
(if (<=.f64 x #s(literal 5/4 binary64)) x (log.f64 (+.f64 x x)))
x

soundness2.1s (20.7%)

Rules

5712×	`+-lowering-+.f64`
5712×	`+-lowering-+.f32`
4380×	`+-lowering-+.f64`
4380×	`+-lowering-+.f32`
4180×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	119
1	140	104
2	1383	103
0	8617	103
0	122	434
1	355	365
2	1103	351
3	3812	333
0	8439	333
0	242	1646
1	742	1390
2	2383	1331
0	8138	1331
0	351	2391
1	1054	2063
2	3480	2026
0	8111	2026
0	8	14
1	41	14
2	326	14
3	3609	14
0	8487	14
0	7	8
1	13	6
2	14	6
3	15	6
0	15	6
0	23	127
1	163	108
2	1716	98
0	8654	98

Stop Event

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

Compiler

Compiled 509 to 291 computations (42.8% saved)

preprocess89.0ms (0.9%)

Compiler: Compiled 426 to 160 computations (62.4% saved)

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

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

analyze133.0ms (1.3%)

sample2.5s (25.3%)

preprocess28.0ms (0.3%)

explain218.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0%)

localize146.0ms (1.5%)

series8.0ms (0.1%)

rewrite273.0ms (2.7%)

simplify218.0ms (2.2%)

eval20.0ms (0.2%)

prune61.0ms (0.6%)

simplify11.0ms (0.1%)

localize147.0ms (1.5%)

series65.0ms (0.7%)

rewrite422.0ms (4.2%)

simplify241.0ms (2.4%)

eval166.0ms (1.7%)

prune123.0ms (1.2%)

simplify251.0ms (2.5%)

localize184.0ms (1.8%)

series88.0ms (0.9%)

rewrite216.0ms (2.2%)

simplify337.0ms (3.4%)

eval131.0ms (1.3%)

prune88.0ms (0.9%)

simplify189.0ms (1.9%)

localize202.0ms (2%)

series20.0ms (0.2%)

rewrite359.0ms (3.6%)

simplify319.0ms (3.2%)

eval112.0ms (1.1%)

prune153.0ms (1.5%)

regimes19.0ms (0.2%)

regimes6.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch39.0ms (0.4%)

bsearch36.0ms (0.4%)

bsearch37.0ms (0.4%)

bsearch39.0ms (0.4%)

bsearch125.0ms (1.3%)

bsearch21.0ms (0.2%)

simplify11.0ms (0.1%)

soundness2.1s (20.7%)

preprocess89.0ms (0.9%)

end0.0ms (0%)

Profiling

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