Metrics for Hyperbolic arc-cosine

analyze88.0ms (2.9%)

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
0%	0%	100%	0%	0%	0%	0%	3
16.7%	12.5%	62.5%	0%	0%	25%	0%	4
30%	18.7%	43.7%	0%	0%	37.5%	0%	5
38.9%	21.9%	34.4%	0%	0%	43.7%	0%	6
44.1%	23.4%	29.7%	0%	0%	46.9%	0%	7
47%	24.2%	27.3%	0%	0%	48.4%	0%	8
48.5%	24.6%	26.2%	0%	0%	49.2%	0%	9
49.2%	24.8%	25.6%	0%	0%	49.6%	0%	10
49.6%	24.9%	25.3%	0%	0%	49.8%	0%	11
49.8%	24.9%	25.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions

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

ival-log: 11.0ms (26.8% of total)

ival-mult: 9.0ms (21.9% of total)

ival-sqrt: 9.0ms (21.9% of total)

ival-sub: 6.0ms (14.6% of total)

ival-add: 6.0ms (14.6% of total)

const: 1.0ms (2.4% of total)

sample1.9s (60.2%)

Results

536.0ms	8373×	0	invalid
881.0ms	8256×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 780.0ms

ival-mult: 222.0ms (28.4% of total)

ival-sqrt: 162.0ms (20.8% of total)

ival-log: 148.0ms (19% of total)

ival-sub: 113.0ms (14.5% of total)

ival-add: 105.0ms (13.5% of total)

const: 24.0ms (3.1% of total)

backward-pass: 7.0ms (0.9% of total)

Bogosity

preprocess294.0ms (9.5%)

Algorithm

1×	egg-herbie

Rules

653×	`distribute-lft-out`
621×	`distribute-rgt-out--`
518×	`unsub-neg`
473×	`sub-neg`
450×	`distribute-rgt-out`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	140
1	48	132
2	83	132
3	179	132
4	416	132
5	923	132
6	1685	132
7	3206	132
8	4236	132
9	4890	132
10	5182	132
11	5490	132
12	5640	132
13	5713	132
14	5924	132
15	6691	132
16	6872	132

Stop Event

1×	node limit

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

explain133.0ms (4.3%)

FPErrors

Click to see full error table

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

Results

88.0ms

512×

256

valid

Compiler

Compiled 80 to 43 computations (46.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-sub: 15.0ms (29.7% of total)

ival-sqrt: 13.0ms (25.7% of total)

ival-log: 10.0ms (19.8% of total)

ival-add: 5.0ms (9.9% of total)

ival-mult: 5.0ms (9.9% of total)

const: 3.0ms (5.9% of total)

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.6%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 10 to 7 computations (30% saved)

localize53.0ms (1.7%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	53.5%	(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))

Results

41.0ms

256×

256

valid

Compiler

Compiled 35 to 18 computations (48.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-sqrt: 7.0ms (31% of total)

ival-sub: 6.0ms (26.6% of total)

ival-log: 4.0ms (17.7% of total)

ival-add: 3.0ms (13.3% of total)

ival-mult: 2.0ms (8.9% of total)

const: 1.0ms (4.4% of total)

series2.0ms (0.1%)

Counts

1 → 12

Calls

Call 1

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

Outputs
#<alt (sqrt.f64 #s(literal -1 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 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 #s(literal 1 binary64) (.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))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 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) 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 #s(literal 1 binary64) (.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))))) (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 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>

Calls

3 calls:

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

rewrite219.0ms (7.1%)

Algorithm

1×	batch-egg-rewrite

Rules

395×	`log1p-expm1-u`
395×	`expm1-log1p-u`
388×	`unpow-prod-down`
376×	`add-exp-log`
353×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	109	19
2	1240	19

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))

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

simplify119.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

567×	`fma-neg`
561×	`distribute-lft-in`
543×	`unsub-neg`
507×	`distribute-rgt-in`
343×	`associate-*r/`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	203	17179871515
1	382	17179871416
2	902	17179871334
3	2760	17179871262
4	6896	17179871254

Stop Event

1×	node limit

Counts

63 → 94

Calls

Call 1

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

Outputs
(sqrt.f64 #s(literal -1 binary64))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/8 binary64)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 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 #s(literal 1/2 binary64) x))
(.f64 x (+.f64 #s(literal 1 binary64) (.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))))) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) x))
(.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 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 (/.f64 #s(literal 1/2 binary64) x) x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.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))))) (pow.f64 x #s(literal 2 binary64)))))))
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) x) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(fma.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2/3 binary64))) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 5/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2/3 binary64))) (cbrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 5/6 binary64))))
(.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 (.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x))))
(.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 (.f64 (+.f64 x #s(literal -1 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))))
(.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) (cbrt.f64 (.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 4/3 binary64))) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 4/3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3/4 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal -1 binary64) x)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal -1 binary64) x)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 #s(literal 6 binary64) (log.f64 x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 5/6 binary64))) (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 4/3 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 5/4 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 5/4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 5/4 binary64))) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/6 binary64))) (cbrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 5/4 binary64))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (hypot.f64 #s(literal 1 binary64) x))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))) (hypot.f64 #s(literal 1 binary64) x))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)))) (hypot.f64 (pow.f64 x #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (hypot.f64 (pow.f64 x #s(literal 2 binary64)) (hypot.f64 #s(literal 1 binary64) x)))
(/.f64 (cbrt.f64 (.f64 (expm1.f64 (.f64 #s(literal 6 binary64) (log.f64 x))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))) (cbrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) (cbrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))) (cbrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (cbrt.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (cbrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal 3/2 binary64))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))
(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(fabs.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3/2 binary64)))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/6 binary64))) #s(literal 3 binary64)))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 1/3 binary64)))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)))
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))

eval53.0ms (1.7%)

Compiler: Compiled 1543 to 1241 computations (19.6% saved)

prune13.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	92	3	95

Accuracy

100.0%

Counts

95 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(log.f64 (+.f64 x (-.f64 x (/.f64 #s(literal 1/2 binary64) x))))
✓	51.6%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
▶	99.7%	(log.f64 (+.f64 x x))

Compiler

Compiled 24 to 16 computations (33.3% saved)

localize61.0ms (2%)

Results

47.0ms

256×

256

valid

Compiler

Compiled 35 to 19 computations (45.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-log: 10.0ms (35.8% of total)

ival-div: 8.0ms (28.7% of total)

ival-sub: 5.0ms (17.9% of total)

ival-add: 5.0ms (17.9% of total)

const: 1.0ms (3.6% of total)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	1	1
Total	3	3

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(log.f64 (+.f64 x (-.f64 x (/.f64 #s(literal 1/2 binary64) x))))
✓	51.6%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	99.7%	(log.f64 (+.f64 x x))

Compiler

Compiled 46 to 30 computations (34.8% saved)

regimes6.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
1.0ms	x
1.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Results

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

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative`
4×	`sub-neg`
3×	`*-commutative`
3×	`neg-sub0`
3×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	16	49
2	25	49
3	31	49
4	36	49
5	38	49

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness148.0ms (4.8%)

Rules

567×	`fma-neg`
561×	`distribute-lft-in`
543×	`unsub-neg`
507×	`distribute-rgt-in`
343×	`associate-*r/`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	203	17179871515
1	382	17179871416
2	902	17179871334
3	2760	17179871262
4	6896	17179871254

Stop Event

1×	done
1×	node limit

Compiler

Compiled 310 to 230 computations (25.8% saved)

preprocess31.0ms (1%)

Compiler: Compiled 46 to 30 computations (34.8% saved)

Hyperbolic arc-cosine

analyze88.0ms (2.9%)

sample1.9s (60.2%)

preprocess294.0ms (9.5%)

explain133.0ms (4.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize53.0ms (1.7%)

series2.0ms (0.1%)

rewrite219.0ms (7.1%)

simplify119.0ms (3.8%)

eval53.0ms (1.7%)

prune13.0ms (0.4%)

localize61.0ms (2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes6.0ms (0.2%)

regimes1.0ms (0%)

simplify3.0ms (0.1%)

soundness148.0ms (4.8%)

preprocess31.0ms (1%)

end0.0ms (0%)

Profiling