Metrics for Hyperbolic arcsine

analyze207.0ms (2%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-add: 10.0ms (27.2% of total)

ival-log: 9.0ms (24.5% of total)

ival-mult: 8.0ms (21.7% of total)

ival-sqrt: 8.0ms (21.7% of total)

const: 1.0ms (2.7% of total)

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

sample3.1s (29.7%)

Results

1.5s	2734×	2	valid
805.0ms	3336×	1	valid
350.0ms	2186×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

ival-log: 850.0ms (39.9% of total)

ival-add: 544.0ms (25.5% of total)

ival-mult: 296.0ms (13.9% of total)

ival-sqrt: 226.0ms (10.6% of total)

backward-pass: 195.0ms (9.2% of total)

const: 18.0ms (0.8% of total)

Bogosity

preprocess49.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

64×	`fma-neg`
54×	`fma-define`
18×	`associate--r+`
18×	`sub-neg`
17×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	140
1	41	96
2	69	96
3	117	96
4	196	96
5	287	96
6	350	96
7	391	96
8	398	96

Stop Event

1×

saturated

Calls

Call 1

Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64)))))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal 1 binary64))))))

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

explain177.0ms (1.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
128	-	0	-	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
74	-	0	-	`(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))`
58	-	1	(-5.808643328327411)	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`
0	-	0	-	`x`
0	-	0	-	`(+.f64 (*.f64 x x) #s(literal 1 binary64))`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`#s(literal 1 binary64)`

Results

69.0ms	168×	2	valid
42.0ms	196×	1	valid
18.0ms	148×	0	valid

Compiler

Compiled 80 to 23 computations (71.3% saved)

Precisions

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

ival-log: 47.0ms (51.4% of total)

ival-add: 17.0ms (18.6% of total)

backward-pass: 10.0ms (10.9% of total)

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

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

const: 1.0ms (1.1% of total)

eval0.0ms (0%)

Compiler: Compiled 15 to 9 computations (40% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	33.2%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
▶	18.1%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(hypot.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	192	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓	cost-diff	192	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	cost-diff	192	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Rules

3×	`1-exp`
3×	`+-commutative`
1×	`hypot-undefine`
1×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	142
1	27	142

Stop Event

1×

saturated

Calls

Call 1

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

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

localize128.0ms (1.2%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(hypot.f64 #s(literal 1 binary64) x)
✓	accuracy	79.5%	(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
✓	accuracy	54.2%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	79.5%	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	accuracy	73.1%	(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))
✓	accuracy	54.2%	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))

Results

61.0ms	84×	2	valid
34.0ms	98×	1	valid
14.0ms	74×	0	valid

Compiler

Compiled 51 to 11 computations (78.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-log: 37.0ms (44.6% of total)

ival-hypot: 17.0ms (20.5% of total)

backward-pass: 8.0ms (9.7% of total)

ival-add: 8.0ms (9.7% of total)

ival-mult: 7.0ms (8.4% of total)

ival-sqrt: 5.0ms (6% of total)

const: 1.0ms (1.2% of total)

series12.0ms (0.1%)

Counts

7 → 84

Calls

Call 1

Inputs
#<alt (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))>
#<alt (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))>
#<alt (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))>
#<alt (*.f64 x x)>
#<alt (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 x (hypot.f64 #s(literal 1 binary64) x))>
#<alt (hypot.f64 #s(literal 1 binary64) x)>

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

Calls

21 calls:

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

rewrite459.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

669×	`log1p-expm1-u`
669×	`expm1-log1p-u`
548×	`unpow-prod-down`
376×	`fma-define`
298×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	114
1	224	114
2	2043	114

Stop Event

1×	node limit

Counts

7 → 426

Calls

Call 1

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

Outputs
(+.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (neg.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(*.f64 #s(literal 1 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 3 binary64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(.f64 (pow.f64 (.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(neg.f64 (log.f64 (/.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (pow.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(*.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
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(*.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fabs.f64 (hypot.f64 #s(literal 1 binary64) x))
(log.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (hypot.f64 #s(literal 1 binary64) x)))
(exp.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))

simplify235.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

297×	`unswap-sqr`
281×	`associate-+l+`
279×	`fma-neg`
262×	`associate-+r+`
237×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	619	4294986661
1	1241	4294986341
2	3573	4294984359

Stop Event

1×	node limit

Counts

510 → 384

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) x)
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal -1/2 binary64) x)
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 #s(literal -1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) x)
(.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal -1/2 binary64) x)
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/8 binary64))))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 #s(literal -1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(pow.f64 (/.f64 (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (hypot.f64 #s(literal 1 binary64) x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) x))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1 binary64))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(fma.f64 x #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) x (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x) x)
(fma.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) x)
(fma.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
(fma.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 0 binary64) (hypot.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x))) (cbrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))
(*.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (hypot.f64 #s(literal 1 binary64) x) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (pow.f64 (.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (hypot.f64 #s(literal 1 binary64) x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
(.f64 (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) (cbrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fabs.f64 (hypot.f64 #s(literal 1 binary64) x))
(log.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (hypot.f64 #s(literal 1 binary64) x)))
(exp.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))

Outputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64))) #s(literal -1/6 binary64)))))
(+.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 x)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (log.f64 x) (+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -3/32 binary64) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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x
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(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
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x
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#s(literal 1 binary64)
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(+.f64 x #s(literal 1 binary64))
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(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
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#s(literal 1 binary64)
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x
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(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
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(*.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (.f64 (hypot.f64 #s(literal 1 binary64) x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))))
(.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (.f64 (hypot.f64 #s(literal 1 binary64) x) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(hypot.f64 #s(literal 1 binary64) x)
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) (cbrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(hypot.f64 #s(literal 1 binary64) x)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(hypot.f64 #s(literal 1 binary64) x)
(*.f64 (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) (cbrt.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) (cbrt.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(hypot.f64 #s(literal 1 binary64) x)
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (hypot.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(hypot.f64 #s(literal 1 binary64) x)
(pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(hypot.f64 #s(literal 1 binary64) x)
(pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(hypot.f64 #s(literal 1 binary64) x)
(pow.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 #s(literal 1 binary64) x)
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(hypot.f64 #s(literal 1 binary64) x)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(hypot.f64 #s(literal 1 binary64) x)
(fabs.f64 (hypot.f64 #s(literal 1 binary64) x))
(hypot.f64 #s(literal 1 binary64) x)
(log.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) x)))
(hypot.f64 #s(literal 1 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 #s(literal 1 binary64) x))))
(hypot.f64 #s(literal 1 binary64) x)
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(hypot.f64 #s(literal 1 binary64) x)
(expm1.f64 (log1p.f64 (hypot.f64 #s(literal 1 binary64) x)))
(hypot.f64 #s(literal 1 binary64) x)
(log1p.f64 (expm1.f64 (hypot.f64 #s(literal 1 binary64) x)))
(hypot.f64 #s(literal 1 binary64) x)
(exp.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)))
(hypot.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(hypot.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(hypot.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)))
(hypot.f64 #s(literal 1 binary64) x)
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(hypot.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))
(hypot.f64 #s(literal 1 binary64) x)

eval53.0ms (0.5%)

Compiler: Compiled 6218 to 1411 computations (77.3% saved)

prune50.0ms (0.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	374	10	384
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	375	11	386

Accuracy

100.0%

Counts

386 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.6%	(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))))))
▶	50.7%	(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
▶	50.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
	52.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
▶	29.4%	(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
	22.6%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	33.2%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
	7.3%	(log.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
▶	26.6%	(log.f64 (*.f64 x #s(literal 2 binary64)))
	33.2%	(log.f64 (expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
▶	52.6%	x

Compiler

Compiled 233 to 157 computations (32.6% saved)

simplify411.0ms (3.9%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))
✓	cost-diff	-6272	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)))))
✓	cost-diff	0	(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
	cost-diff	0	(hypot.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(-.f64 (hypot.f64 #s(literal 1 binary64) x) x)
✓	cost-diff	0	(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
✓	cost-diff	0	(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
✓	cost-diff	-6272	(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
✓	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(log.f64 (*.f64 x #s(literal 2 binary64)))

Rules

1189×	`fma-define`
734×	`distribute-lft-in`
716×	`distribute-rgt-in`
606×	`fma-neg`
431×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	490
1	72	452
2	150	448
3	422	448
4	1006	448
5	2109	448
6	2802	448
7	3287	448
8	4223	448
9	5687	448
10	6683	448
11	7016	448
12	7111	448
13	7155	448
14	7178	448
15	7202	448
16	7222	448
17	7222	448
18	7222	448
19	7222	448

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
x
(log.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
x
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(-.f64 (hypot.f64 #s(literal 1 binary64) x) x)
(hypot.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64))) #s(literal -1/6 binary64)))))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64)) (fma.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)) x))
x
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64))) #s(literal -1/6 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64))) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64))))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64))) #s(literal -1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))
(+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64))
#s(literal -5/112 binary64)
#s(literal 1/6 binary64)

localize193.0ms (1.8%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
✓	accuracy	99.9%	(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	accuracy	99.9%	(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))
✓	accuracy	99.9%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)))))
	accuracy	100.0%	(hypot.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
✓	accuracy	76.8%	(log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
✓	accuracy	75.8%	(-.f64 (hypot.f64 #s(literal 1 binary64) x) x)
✓	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
✓	accuracy	99.9%	(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(log.f64 (*.f64 x #s(literal 2 binary64)))

Results

71.0ms	100×	1	valid
38.0ms	123×	0	invalid
36.0ms	28×	2	valid
2.0ms	5×	0	valid

Compiler

Compiled 155 to 26 computations (83.2% saved)

Precisions

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

ival-log: 21.0ms (20.1% of total)

ival-mult: 19.0ms (18.2% of total)

...c/correct-round.rkt:121:19: 18.0ms (17.2% of total)

ival-pow: 13.0ms (12.4% of total)

ival-hypot: 9.0ms (8.6% of total)

backward-pass: 9.0ms (8.6% of total)

ival-add: 7.0ms (6.7% of total)

ival-sub: 4.0ms (3.8% of total)

ival-neg: 3.0ms (2.9% of total)

const: 1.0ms (1% of total)

series73.0ms (0.7%)

Counts

14 → 111

Calls

Call 1

Inputs
#<alt (log.f64 (*.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 x #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))>
#<alt (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))>
#<alt (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))>
#<alt (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>

Outputs
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -3/40 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))>
#<alt (.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/112 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/40 binary64))))) #s(literal 1 binary64)))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal 1/2 binary64) x)>
#<alt (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x)>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5/112 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5/112 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5/112 binary64)))>
#<alt (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5/112 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5/112 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5/112 binary64)))>
#<alt #s(literal 3/40 binary64)>
#<alt (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5/112 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5/112 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5/112 binary64)))>
#<alt (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5/112 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5/112 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5/112 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5/112 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 5/112 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 5/112 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5/112 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 5/112 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 5/112 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5/112 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 5/112 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (+.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 5/112 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 #s(literal 5/112 binary64) (*.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (+.f64 #s(literal 5/112 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (+.f64 #s(literal 5/112 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))))>

Calls

42 calls:

Time	Variable		Point	Expression
29.0ms	x	@	0	(log (* x 2))
19.0ms	x	@	-inf	(log (* x 2))
6.0ms	x	@	inf	(log (* x 2))
1.0ms	x	@	inf	(* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))
1.0ms	x	@	inf	(* (pow x 2) (+ 3/40 (* -5/112 (pow x 2))))

rewrite236.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1111×	`log1p-expm1-u`
202×	`expm1-log1p-u`
197×	`add-exp-log`
197×	`add-cube-cbrt`
194×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	356
1	454	322
2	6363	322

Stop Event

1×	node limit

Counts

14 → 361

Calls

Call 1

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

Outputs
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))) (log.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64)))))
(+.f64 (.f64 (log.f64 x) #s(literal 1 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (log.f64 (.f64 x #s(literal 2 binary64))))
(.f64 (cbrt.f64 (log.f64 (.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (log.f64 (.f64 x #s(literal 2 binary64)))) (sqrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 x) (log.f64 x)) (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (log.f64 x) (log.f64 x)) (.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))) (-.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))))
(pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))))
(log1p.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x #s(literal 2 binary64))))) (sqrt.f64 (log.f64 (.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (cbrt.f64 #s(literal -1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 x (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) x)
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(.f64 (.f64 x (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) (sqrt.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64))))))
(.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (fma.f64 x x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (+.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 x (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 x (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x))
(pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 (.f64 x (cbrt.f64 #s(literal -1/6 binary64))) #s(literal 2 binary64)) (.f64 x (cbrt.f64 #s(literal -1/6 binary64))) x)
(fma.f64 (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal -1/6 binary64))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 #s(literal 0 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (log.f64 (sqrt.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(-.f64 #s(literal 0 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))) #s(literal 1 binary64))
(-.f64 (log.f64 (-.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1 binary64) (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(*.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64))
(*.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64))
(*.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
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(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))) (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64)))) x) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))))
(pow.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))
(exp.f64 (log.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))
(exp.f64 (.f64 (log.f64 (+.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))

simplify470.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

829×	`fma-neg`
411×	`associate-l`
402×	`associate-r`
326×	`fma-define`
280×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	854	17115
1	1956	15812
2	6655	15801

Stop Event

1×	node limit

Counts

472 → 579

Calls

Call 1

Inputs
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(*.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(.f64 #s(literal -1 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))))
(*.f64 #s(literal -1 binary64) x)
(.f64 x (-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -3/40 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
(.f64 x (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 5/112 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 3/40 binary64))))) #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/96 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))))
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(pow.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))
(+.f64 x (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) (.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))) (-.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) x) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64)))) x) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))))
(pow.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))))))
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))
(exp.f64 (log.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))
(exp.f64 (.f64 (log.f64 (+.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))

Outputs
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal -2 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
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(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(cbrt.f64 (pow.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) #s(literal 3 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(expm1.f64 (log1p.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)))
(log1p.f64 (expm1.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(exp.f64 (log.f64 (+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(exp.f64 (.f64 (log.f64 (+.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) x)

eval82.0ms (0.8%)

Compiler: Compiled 11631 to 2420 computations (79.2% saved)

prune72.0ms (0.7%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	620	2	622
Fresh	1	4	5
Picked	1	4	5
Done	0	1	1
Total	622	11	633

Accuracy

100.0%

Counts

633 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.6%	(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))))))
✓	50.7%	(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
▶	50.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x)))) #s(literal 1/6 binary64)))))
▶	52.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))))
✓	29.4%	(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
▶	22.6%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	33.2%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
▶	7.3%	(log.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
✓	26.6%	(log.f64 (*.f64 x #s(literal 2 binary64)))
▶	33.2%	(log.f64 (expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
✓	52.6%	x

Compiler

Compiled 210 to 142 computations (32.4% saved)

simplify89.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(hypot.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
✓	cost-diff	12800	(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
✓	cost-diff	12800	(log.f64 (expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
✓	cost-diff	-12608	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x))))
	cost-diff	-6336	(*.f64 x x)
✓	cost-diff	-6336	(.f64 #s(literal -5/112 binary64) (.f64 x x))
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	-6272	(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	-6272	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	-6144	(log.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
✓	cost-diff	0	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	cost-diff	-6272	(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))
✓	cost-diff	-6272	(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64))
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))

Rules

1232×	`fma-define`
837×	`sub-neg`
533×	`distribute-lft-in`
513×	`distribute-rgt-in`
347×	`associate-+l-`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	767
1	97	707
2	214	689
3	578	671
4	1352	671
5	2649	671
6	4655	671
7	6945	671

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))))
x
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
#s(literal 1/6 binary64)
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(log.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
x
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x)))) #s(literal 1/6 binary64)))))
x
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x)))) #s(literal 1/6 binary64))))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x)))) #s(literal 1/6 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x)))) #s(literal 1/6 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x))))
(+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x)))
#s(literal 3/40 binary64)
(.f64 #s(literal -5/112 binary64) (.f64 x x))
#s(literal -5/112 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
(log.f64 (expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
x
(hypot.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
x
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
#s(literal 1/6 binary64)
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(log.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(log1p.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(log1p.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64)))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))
x
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x)))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64))) #s(literal -1/6 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 7 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)))
x
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x)))) #s(literal 1/6 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64))) #s(literal -1/6 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64)) (fma.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x)))) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64))) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) (fma.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 6 binary64)))))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x)))) #s(literal 1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64))) #s(literal -1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x)))
(+.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
(.f64 #s(literal -5/112 binary64) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64))
#s(literal -5/112 binary64)
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
#s(literal 1/6 binary64)
(log.f64 (expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(log.f64 (+.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
x
(hypot.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

localize230.0ms (2.2%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
✓	accuracy	100.0%	(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
✓	accuracy	79.5%	(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
✓	accuracy	77.5%	(log.f64 (expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
✓	accuracy	100.0%	(+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x)))
✓	accuracy	99.9%	(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x))))
✓	accuracy	99.9%	(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x)))) #s(literal 1/6 binary64)))
✓	accuracy	99.6%	(.f64 #s(literal -5/112 binary64) (.f64 x x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
✓	accuracy	64.2%	(log.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	accuracy	100.0%	(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))))
✓	accuracy	99.9%	(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))
✓	accuracy	99.6%	(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64))

Results

92.0ms	101×	1	valid
52.0ms	133×	0	invalid
29.0ms	17×	2	valid
2.0ms	5×	0	valid

Compiler

Compiled 243 to 35 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-log: 26.0ms (21.1% of total)

ival-mult: 24.0ms (19.5% of total)

...c/correct-round.rkt:121:19: 15.0ms (12.2% of total)

ival-add: 13.0ms (10.6% of total)

backward-pass: 11.0ms (8.9% of total)

ival-hypot: 8.0ms (6.5% of total)

ival-expm1: 8.0ms (6.5% of total)

ival-log1p: 7.0ms (5.7% of total)

ival-pow: 5.0ms (4.1% of total)

ival-sub: 4.0ms (3.3% of total)

ival-div: 2.0ms (1.6% of total)

const: 1.0ms (0.8% of total)

series79.0ms (0.8%)

Counts

18 → 204

Calls

Call 1

Inputs
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))>
#<alt (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))>
#<alt (log.f64 (/.f64 #s(literal -1/2 binary64) x))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 x #s(literal 1/2 binary64))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))>
#<alt (.f64 #s(literal -5/112 binary64) (.f64 x x))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x))))>
#<alt (log.f64 (expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))>
#<alt (expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))>
#<alt (log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x)))) #s(literal 1/6 binary64)))>
#<alt (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x)))>
#<alt (+.f64 x (hypot.f64 #s(literal 1 binary64) x))>

Outputs
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal -1/6 binary64)>
#<alt (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))>
#<alt (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))>
#<alt (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt (*.f64 #s(literal 1/2 binary64) x)>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/6 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/20 binary64) x))) #s(literal 1/6 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))>
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#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5/112 binary64)))>
#<alt (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5/112 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5/112 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5/112 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))>
#<alt (.f64 x (-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) x))>

Calls

54 calls:

Time	Variable		Point	Expression
29.0ms	x	@	-inf	(log (/ -1/2 x))
13.0ms	x	@	0	(log (/ -1/2 x))
6.0ms	x	@	inf	(log (/ -1/2 x))
3.0ms	x	@	inf	(* (pow x 2) (- (* (pow x 2) 3/40) 1/6))
1.0ms	x	@	-inf	(log (+ 1 (* x (+ 1 (* x 1/2)))))

rewrite138.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

262×	`log1p-expm1-u`
261×	`expm1-log1p-u`
253×	`add-exp-log`
251×	`add-cube-cbrt`
249×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	432
1	588	402

Stop Event

1×	node limit

Counts

18 → 453

Calls

Call 1

Inputs
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal -5/112 binary64) (.f64 x x))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x))))
(log.f64 (expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x)))) #s(literal 1/6 binary64)))
(+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x)))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 27/64000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 3/40 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/1600 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3/40 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)))))
(cbrt.f64 (*.f64 #s(literal 27/64000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1/216 binary64))) (+.f64 (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/80 binary64))))
(/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal 1/6 binary64)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/80 binary64))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal 1/6 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64))))
(.f64 (+.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/80 binary64)))))
(.f64 (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/80 binary64))) (+.f64 (*.f64 #s(literal 27/64000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal 1/6 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1/216 binary64)) (+.f64 (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/80 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1/216 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/1600 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal 1/6 binary64)))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal -1/216 binary64))) (neg.f64 (+.f64 (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/1600 binary64)) #s(literal 1/36 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/80 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/1600 binary64)) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal 1/6 binary64))))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/1600 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64))) #s(literal -1/6 binary64))
(fma.f64 (.f64 x (sqrt.f64 #s(literal 3/40 binary64))) (.f64 x (sqrt.f64 #s(literal 3/40 binary64))) #s(literal -1/6 binary64))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 x)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1/2 binary64) x)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal -2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (neg.f64 x)))
(*.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))))
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(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64)) #s(literal 3/40 binary64))
(fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/12544 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64))) #s(literal 3/40 binary64))
(fma.f64 (.f64 x (sqrt.f64 #s(literal -5/112 binary64))) (.f64 x (sqrt.f64 #s(literal -5/112 binary64))) #s(literal 3/40 binary64))
(fma.f64 (*.f64 x #s(literal -5/112 binary64)) x #s(literal 3/40 binary64))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #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 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(/.f64 (-.f64 (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) x (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x))

simplify432.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

764×	`fma-neg`
412×	`associate-r`
371×	`fma-define`
371×	`associate-l`
286×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1071	22177
1	2430	20779
2	7635	20749

Stop Event

1×	node limit

Counts

657 → 718

Calls

Call 1

Inputs
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal -1/6 binary64)
(-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))
(-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))
(-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) x)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/20 binary64) x))) #s(literal 1/6 binary64)))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))) (/.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) x))))
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)))))
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(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 9/1600 binary64) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal 5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/12544 binary64)) (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal 5/112 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))))
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))))
(.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -125/1404928 binary64)) #s(literal 27/64000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 9/1600 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/12544 binary64))) (.f64 #s(literal -3/896 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (-.f64 #s(literal 9/1600 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/12544 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal 5/112 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 9/1600 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/12544 binary64))) (.f64 #s(literal -3/896 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -125/1404928 binary64)) #s(literal 27/64000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal 5/112 binary64) (pow.f64 x #s(literal 2 binary64)))) (-.f64 #s(literal 9/1600 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/12544 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -125/1404928 binary64)) #s(literal 27/64000 binary64)) (-.f64 (+.f64 #s(literal 9/1600 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/12544 binary64))) (*.f64 #s(literal -3/896 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -125/1404928 binary64)) #s(literal 27/64000 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/12544 binary64)) (-.f64 #s(literal 9/1600 binary64) (*.f64 #s(literal -3/896 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 9/1600 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/12544 binary64))) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal 5/112 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -125/1404928 binary64)) #s(literal 27/64000 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 9/1600 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/12544 binary64))) (*.f64 #s(literal -3/896 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 9/1600 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/12544 binary64)))) (neg.f64 (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal 5/112 binary64) (pow.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/12544 binary64)) #s(literal 9/1600 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64)) #s(literal 3/40 binary64)))
(pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64)) #s(literal 3/40 binary64))
(fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 25/12544 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64))) #s(literal 3/40 binary64))
(fma.f64 (.f64 x (sqrt.f64 #s(literal -5/112 binary64))) (.f64 x (sqrt.f64 #s(literal -5/112 binary64))) #s(literal 3/40 binary64))
(fma.f64 (*.f64 x #s(literal -5/112 binary64)) x #s(literal 3/40 binary64))
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #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 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))
(/.f64 (-.f64 (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) x (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x))

Outputs
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64)))
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(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(fabs.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 0 binary64) (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x))))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) x (hypot.f64 #s(literal 1 binary64) x))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x) x)
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (hypot.f64 #s(literal 1 binary64) x))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) x)) x)
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 #s(literal 1 binary64) x))
(+.f64 x (hypot.f64 #s(literal 1 binary64) x))

eval526.0ms (5%)

Compiler: Compiled 15537 to 3657 computations (76.5% saved)

prune303.0ms (2.9%)

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	835	5	840
Fresh	0	1	1
Picked	2	3	5
Done	0	5	5
Total	837	14	851

Accuracy

100.0%

Counts

851 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.6%	(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))))))
✓	50.7%	(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
▶	50.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x)))) #s(literal 1/6 binary64)))))
▶	52.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))))
▶	50.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/20 binary64) x))) #s(literal 1/6 binary64)))))
▶	4.9%	(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
✓	29.4%	(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
▶	1.9%	(log1p.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
✓	22.6%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	33.2%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
✓	7.3%	(log.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
✓	26.6%	(log.f64 (*.f64 x #s(literal 2 binary64)))
✓	33.2%	(log.f64 (expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
✓	52.6%	x

Compiler

Compiled 247 to 175 computations (29.1% saved)

simplify107.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	cost-diff	-12608	(+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x)))
	cost-diff	-6336	(.f64 #s(literal -5/112 binary64) (.f64 x x))
	cost-diff	-6336	(*.f64 x x)
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	-6272	(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/20 binary64) x))
✓	cost-diff	-6272	(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/20 binary64) x)))
✓	cost-diff	0	(*.f64 #s(literal -1/20 binary64) x)
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
	cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
✓	cost-diff	0	(-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
✓	cost-diff	128	(log1p.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
✓	cost-diff	0	(pow.f64 x #s(literal 5 binary64))
✓	cost-diff	0	(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
✓	cost-diff	-12608	(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))
	cost-diff	-6336	(*.f64 x x)
✓	cost-diff	-6336	(.f64 (.f64 x x) #s(literal 3/40 binary64))
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))

Rules

690×	`fma-neg`
680×	`distribute-lft-in`
641×	`distribute-rgt-in`
535×	`unsub-neg`
350×	`distribute-lft-neg-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	836
1	111	764
2	256	746
3	720	740
4	1931	740
5	2882	740
6	3895	740
7	4805	740
8	6051	740

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))))
x
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(*.f64 x x)
#s(literal 3/40 binary64)
#s(literal 1/6 binary64)
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
#s(literal 3/40 binary64)
(pow.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)
(log1p.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/20 binary64) x))) #s(literal 1/6 binary64)))))
x
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/20 binary64) x))) #s(literal 1/6 binary64))))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/20 binary64) x))) #s(literal 1/6 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/20 binary64) x))) #s(literal 1/6 binary64))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/20 binary64) x)))
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/20 binary64) x))
#s(literal 1/8 binary64)
(*.f64 #s(literal -1/20 binary64) x)
#s(literal -1/20 binary64)
#s(literal 1/6 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x)))) #s(literal 1/6 binary64)))))
x
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x)))) #s(literal 1/6 binary64))))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x)))) #s(literal 1/6 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x)))) #s(literal 1/6 binary64))
(.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x))))
(*.f64 x x)
(+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x)))
#s(literal 3/40 binary64)
(.f64 #s(literal -5/112 binary64) (.f64 x x))
#s(literal -5/112 binary64)
#s(literal 1/6 binary64)

Outputs
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
x
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
#s(literal 3/40 binary64)
#s(literal 1/6 binary64)
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
#s(literal 3/40 binary64)
(pow.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)
(log1p.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(log1p.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)))
(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64)))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/20 binary64) x))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal -1/20 binary64))) #s(literal -1/6 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
x
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/20 binary64) x))) #s(literal 1/6 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal -1/20 binary64))) #s(literal -1/6 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/20 binary64) x))) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal -1/20 binary64))) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/20 binary64) x))) #s(literal 1/6 binary64))
(fma.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal -1/20 binary64))) #s(literal -1/6 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/20 binary64) x)))
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 x #s(literal -1/20 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)))
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/20 binary64) x))
(+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal -1/20 binary64)))
(fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(*.f64 #s(literal -1/20 binary64) x)
(*.f64 x #s(literal -1/20 binary64))
#s(literal -1/20 binary64)
#s(literal 1/6 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x)))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64))) #s(literal -1/6 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3 binary64)) x)
x
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x)))) #s(literal 1/6 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64))) #s(literal -1/6 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(literal 1 binary64)
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x)))) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64))) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64))))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x)))) #s(literal 1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64))) #s(literal -1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64)))
(.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x)))
(+.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))
#s(literal 3/40 binary64)
(.f64 #s(literal -5/112 binary64) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64))
#s(literal -5/112 binary64)
#s(literal 1/6 binary64)

localize355.0ms (3.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x)))
✓	accuracy	99.9%	(.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x))))
✓	accuracy	99.9%	(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x)))) #s(literal 1/6 binary64)))
	accuracy	99.6%	(.f64 #s(literal -5/112 binary64) (.f64 x x))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/20 binary64) x))) #s(literal 1/6 binary64)))))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/20 binary64) x)))
✓	accuracy	99.9%	(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/20 binary64) x))) #s(literal 1/6 binary64)))
✓	accuracy	99.7%	(*.f64 #s(literal -1/20 binary64) x)
	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
✓	accuracy	79.1%	(log1p.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
✓	accuracy	100.0%	(pow.f64 x #s(literal 5 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
✓	accuracy	100.0%	(-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))
✓	accuracy	100.0%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))))
✓	accuracy	99.9%	(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))
✓	accuracy	99.6%	(.f64 (.f64 x x) #s(literal 3/40 binary64))

Results

118.0ms	133×	0	invalid
85.0ms	33×	2	valid
30.0ms	68×	0	valid
23.0ms	22×	1	valid

Compiler

Compiled 275 to 37 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-mult: 28.0ms (31.2% of total)

...c/correct-round.rkt:121:19: 17.0ms (19% of total)

ival-pow: 12.0ms (13.4% of total)

ival-add: 8.0ms (8.9% of total)

ival-log1p: 8.0ms (8.9% of total)

backward-pass: 7.0ms (7.8% of total)

ival-sub: 6.0ms (6.7% of total)

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

const: 1.0ms (1.1% of total)

series31.0ms (0.3%)

Counts

15 → 135

Calls

Call 1

Inputs
#<alt (.f64 (.f64 x x) #s(literal 3/40 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (pow.f64 x #s(literal 5 binary64))>
#<alt (log1p.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))>
#<alt (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -1/20 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/20 binary64) x)))>
#<alt (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/20 binary64) x))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))))>
#<alt (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/20 binary64) x))) #s(literal 1/6 binary64)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/20 binary64) x))) #s(literal 1/6 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x)))) #s(literal 1/6 binary64)))>
#<alt (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x))))>

Outputs
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x)>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x)>
#<alt #s(literal -1 binary64)>
#<alt (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal -1 binary64)>
#<alt (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/8 binary64) x)>
#<alt (*.f64 #s(literal -1/20 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/20 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/20 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/20 binary64)))>
#<alt (*.f64 #s(literal -1/20 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/20 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/20 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/20 binary64)))>
#<alt #s(literal 1/8 binary64)>
#<alt (*.f64 #s(literal -1/20 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/20 binary64)))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/20 binary64)))>
#<alt (.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/20 binary64)))>
#<alt (*.f64 #s(literal -1/20 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/20 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/20 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/20 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3/40 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))))>
#<alt #s(literal -1/6 binary64)>
#<alt (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))>
#<alt (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))>
#<alt (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) x) #s(literal 1/6 binary64)))>
#<alt (*.f64 #s(literal -1/20 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/20 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/20 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/20 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/20 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/20 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/20 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/20 binary64)))>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/6 binary64)))))>
#<alt (*.f64 #s(literal -1/20 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/20 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/20 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal 1/20 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/20 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/20 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/20 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1/20 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) x))) x)))))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))>
#<alt (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5/112 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 5/112 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 5/112 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 6 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5/112 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 5/112 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 5/112 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5/112 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5/112 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5/112 binary64)))>
#<alt (*.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5/112 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5/112 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 5/112 binary64)))>

Calls

45 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	(log (+ 1 (- (/ -1/2 x) 1)))
1.0ms	x	@	-inf	(* -1/20 x)
1.0ms	x	@	0	(* 3/40 (pow x 5))
0.0ms	x	@	-inf	(* x (+ 1/8 (* -1/20 x)))
0.0ms	x	@	inf	(* x (+ 1/8 (* -1/20 x)))

rewrite132.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

290×	`log1p-expm1-u`
290×	`expm1-log1p-u`
289×	`associate-r`
280×	`add-cube-cbrt`
279×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	418
1	659	380

Stop Event

1×	node limit

Counts

15 → 325

Calls

Call 1

Inputs
(.f64 (.f64 x x) #s(literal 3/40 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 x #s(literal 5 binary64))
(log1p.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/20 binary64) x)
(.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/20 binary64) x)))
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/20 binary64) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))))
(-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/20 binary64) x))) #s(literal 1/6 binary64)))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/20 binary64) x))) #s(literal 1/6 binary64)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x)))) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x))))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 27/64000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 3/40 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/1600 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3/40 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)))))
(cbrt.f64 (*.f64 #s(literal 27/64000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 5/2 binary64)) (sqrt.f64 #s(literal 3/40 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal 9/1600 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 3/40 binary64)) (pow.f64 x #s(literal 5 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 10 binary64))) (cbrt.f64 (pow.f64 x #s(literal 5 binary64))))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 5 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 10 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 5 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 5 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 5 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 5 binary64))))
(exp.f64 (*.f64 #s(literal 5 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 5 binary64) (log.f64 x)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1/2 binary64) x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))) (log.f64 (sqrt.f64 (/.f64 #s(literal -1/2 binary64) x))))
(-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal -2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)))) #s(literal 1 binary64))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))) (sqrt.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))))
(pow.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64))
(neg.f64 (log.f64 (*.f64 x #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))))
(exp.f64 (log.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))))
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(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)))))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64))) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64))) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64))) x))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/1600 binary64)) (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/1600 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64))))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (.f64 x #s(literal 3/40 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)))
(fma.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/1600 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)))
(fma.f64 (.f64 x (sqrt.f64 #s(literal 3/40 binary64))) (.f64 x (sqrt.f64 #s(literal 3/40 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)))

simplify362.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

678×	`fma-neg`
532×	`times-frac`
478×	`associate-r`
451×	`associate-l`
295×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	835	15478
1	1928	14476
2	6132	14452

Stop Event

1×	node limit

Counts

460 → 506

Calls

Call 1

Inputs
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x)
#s(literal -1 binary64)
(.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(literal -1 binary64)
(.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/8 binary64) x)
(*.f64 #s(literal -1/20 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/20 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/20 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/20 binary64)))
(*.f64 #s(literal -1/20 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/20 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/20 binary64)))
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(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64))) x) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64))) x))) (-.f64 x (.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64))) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 x (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)))) (.f64 x (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)))))) (-.f64 x (.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64))))))
(pow.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))))
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(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64)))))
(fma.f64 #s(literal 1 binary64) x (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64))) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64))) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -1/20 binary64) #s(literal 1/8 binary64)) #s(literal -1/6 binary64))) x))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (.f64 #s(literal 27/64000 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/1600 binary64)) (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/1600 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)))) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64))))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (.f64 x #s(literal 3/40 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)))
(fma.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/1600 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)))
(fma.f64 (.f64 x (sqrt.f64 #s(literal 3/40 binary64))) (.f64 x (sqrt.f64 #s(literal 3/40 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)))

Outputs
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64)))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 4 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 3/40 binary64) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
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(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))
(fma.f64 x (.f64 x #s(literal 3/40 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))
(fma.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/1600 binary64))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9/1600 binary64))) (cbrt.f64 (.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)))
(fma.f64 (.f64 x (sqrt.f64 #s(literal 3/40 binary64))) (.f64 x (sqrt.f64 #s(literal 3/40 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -5/112 binary64) #s(literal 3/40 binary64)))

eval170.0ms (1.6%)

Compiler: Compiled 15434 to 3673 computations (76.2% saved)

prune136.0ms (1.3%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	770	3	773
Fresh	0	1	1
Picked	3	2	5
Done	2	6	8
Total	775	12	787

Accuracy

100.0%

Counts

787 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.6%	(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))))))
	50.8%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x)))) #s(literal 1/6 binary64)))))
	52.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))))
	50.6%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/20 binary64) x))) #s(literal 1/6 binary64)))))
✓	4.9%	(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
✓	29.4%	(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
✓	1.9%	(log1p.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
✓	22.6%	(log.f64 (/.f64 #s(literal -1/2 binary64) x))
✓	33.2%	(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
✓	26.6%	(log.f64 (*.f64 x #s(literal 2 binary64)))
✓	33.2%	(log.f64 (expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
✓	52.6%	x

Compiler

Compiled 404 to 190 computations (53% saved)

regimes21.0ms (0.2%)

Counts

22 → 3

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/20 binary64) x))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x)))) #s(literal 1/6 binary64)))))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(log1p.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/20 binary64) x))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x)))) #s(literal 1/6 binary64)))))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))
(neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x)))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x)))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(log.f64 (expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(+.f64 (log.f64 (+.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (hypot.f64 #s(literal 1 binary64) x) (-.f64 (hypot.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 2 binary64))))))

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
100.0%	3	`x`
86.7%	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))))`
86.7%	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

14 → 3

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/20 binary64) x))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x)))) #s(literal 1/6 binary64)))))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(log1p.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/20 binary64) x))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x)))) #s(literal 1/6 binary64)))))
(log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))

Outputs

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

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.4%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

13 → 3

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/20 binary64) x))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x)))) #s(literal 1/6 binary64)))))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(log.f64 (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal 3/40 binary64) (pow.f64 x #s(literal 5 binary64)))
(log1p.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(+.f64 x (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/20 binary64) x))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x)))) #s(literal 1/6 binary64)))))

Outputs

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

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.4%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

5 → 2

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/20 binary64) x))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x)))) #s(literal 1/6 binary64)))))
(log.f64 (*.f64 x #s(literal 2 binary64)))

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
77.2%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -1.5b remaining (-4.9%)

Threshold costs -1.5b (-4.9%)

Counts

4 → 1

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -1/20 binary64) x))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x)))) #s(literal 1/6 binary64)))))

Outputs
x

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
52.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch30.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.0005767309791778933	1.478258031662542
14.0ms	-5.808643328327411	-0.021322999138629412

Results

16.0ms

256×

valid

Compiler

Compiled 518 to 338 computations (34.7% saved)

Precisions

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

ival-add: 3.0ms (30.4% of total)

ival-log: 3.0ms (30.4% of total)

ival-mult: 2.0ms (20.3% of total)

ival-sqrt: 2.0ms (20.3% of total)

const: 0.0ms (0% of total)

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

bsearch29.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.0005767309791778933	1.478258031662542
12.0ms	-5.808643328327411	-0.021322999138629412

Results

16.0ms

256×

valid

Compiler

Compiled 494 to 322 computations (34.8% saved)

Precisions

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

ival-add: 3.0ms (30.1% of total)

ival-log: 3.0ms (30.1% of total)

ival-mult: 2.0ms (20.1% of total)

ival-sqrt: 2.0ms (20.1% of total)

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.0005767309791778933	1.478258031662542
13.0ms	-5.808643328327411	-0.021322999138629412

Results

19.0ms

256×

valid

Compiler

Compiled 478 to 314 computations (34.3% saved)

Precisions

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

ival-log: 6.0ms (45.3% of total)

ival-add: 3.0ms (22.7% of total)

ival-mult: 2.0ms (15.1% of total)

ival-sqrt: 2.0ms (15.1% of total)

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0005767309791778933	1.478258031662542

Results

8.0ms

128×

valid

Compiler

Compiled 198 to 138 computations (30.3% saved)

Precisions

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

ival-add: 1.0ms (20.7% of total)

ival-log: 1.0ms (20.7% of total)

ival-mult: 1.0ms (20.7% of total)

ival-sqrt: 1.0ms (20.7% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative`
10×	`+-commutative`
6×	`sub-neg`
3×	`1-exp`
3×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	521
1	79	521
2	88	521
3	93	521
4	95	521

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -3098476543630901/144115188075855872 binary64)) (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (if (<=.f64 x #s(literal 3314649325744685/144115188075855872 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x)))) #s(literal 1/6 binary64))))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 3314649325744685/144115188075855872 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x)))) #s(literal 1/6 binary64))))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x)))) #s(literal 1/6 binary64))))) (log.f64 (.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))))) (log.f64 (.f64 x #s(literal 2 binary64))))
x

Outputs
(if (<=.f64 x #s(literal -3098476543630901/144115188075855872 binary64)) (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (if (<=.f64 x #s(literal 3314649325744685/144115188075855872 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x)))) #s(literal 1/6 binary64))))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -3098476543630901/144115188075855872 binary64)) (neg.f64 (log.f64 (-.f64 (hypot.f64 #s(literal 1 binary64) x) x))) (if (<=.f64 x #s(literal 3314649325744685/144115188075855872 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))) #s(literal 1/6 binary64))))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 3314649325744685/144115188075855872 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (*.f64 x x)))) #s(literal 1/6 binary64))))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 3314649325744685/144115188075855872 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (*.f64 x x) #s(literal -5/112 binary64)))) #s(literal 1/6 binary64))))) (log.f64 (+.f64 x (hypot.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 #s(literal -5/112 binary64) (.f64 x x)))) #s(literal 1/6 binary64))))) (log.f64 (.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -5854679515581645/4503599627370496 binary64)) (log.f64 (/.f64 #s(literal -1/2 binary64) x)) (if (<=.f64 x #s(literal 5854679515581645/4503599627370496 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) (+.f64 #s(literal 3/40 binary64) (.f64 (.f64 x x) #s(literal -5/112 binary64)))) #s(literal 1/6 binary64))))) (log.f64 (.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 5944751508129055/4503599627370496 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64))))) (log.f64 (.f64 x #s(literal 2 binary64))))
x

soundness1.2s (11.1%)

Rules

1111×	`log1p-expm1-u`
829×	`fma-neg`
669×	`log1p-expm1-u`
669×	`expm1-log1p-u`
548×	`unpow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	140
1	41	96
2	69	96
3	117	96
4	196	96
5	287	96
6	350	96
7	391	96
8	398	96
0	619	4294986661
1	1241	4294986341
2	3573	4294984359
0	15	114
1	224	114
2	2043	114
0	854	17115
1	1956	15812
2	6655	15801
0	30	356
1	454	322
2	6363	322

Stop Event

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

Compiler

Compiled 683 to 218 computations (68.1% saved)

preprocess55.0ms (0.5%)

Compiler: Compiled 356 to 134 computations (62.4% saved)

analyze207.0ms (2%)

sample3.1s (29.7%)

preprocess49.0ms (0.5%)

explain177.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize128.0ms (1.2%)

series12.0ms (0.1%)

rewrite459.0ms (4.4%)

simplify235.0ms (2.2%)

eval53.0ms (0.5%)

prune50.0ms (0.5%)

simplify411.0ms (3.9%)

localize193.0ms (1.8%)

series73.0ms (0.7%)

rewrite236.0ms (2.3%)

simplify470.0ms (4.5%)

eval82.0ms (0.8%)

prune72.0ms (0.7%)

simplify89.0ms (0.8%)

localize230.0ms (2.2%)

series79.0ms (0.8%)

rewrite138.0ms (1.3%)

simplify432.0ms (4.1%)

eval526.0ms (5%)

prune303.0ms (2.9%)

simplify107.0ms (1%)

localize355.0ms (3.4%)

series31.0ms (0.3%)

rewrite132.0ms (1.3%)

simplify362.0ms (3.5%)

eval170.0ms (1.6%)

prune136.0ms (1.3%)

regimes21.0ms (0.2%)

regimes7.0ms (0.1%)

regimes5.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch30.0ms (0.3%)

bsearch29.0ms (0.3%)

bsearch31.0ms (0.3%)

bsearch13.0ms (0.1%)

simplify8.0ms (0.1%)

soundness1.2s (11.1%)

preprocess55.0ms (0.5%)

end0.0ms (0%)

Profiling