Metrics for neg log

analyze6.0ms (0.2%)

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
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (44.3% of total)

ival-log: 1.0ms (44.3% of total)

ival-sub: 0.0ms (0% of total)

const: 0.0ms (0% of total)

ival-neg: 0.0ms (0% of total)

sample1.1s (45.7%)

Results

774.0ms	8256×	0	valid
1.0ms	22×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 374.0ms

ival-log: 156.0ms (41.8% of total)

ival-div: 87.0ms (23.3% of total)

ival-sub: 56.0ms (15% of total)

ival-neg: 53.0ms (14.2% of total)

const: 18.0ms (4.8% of total)

backward-pass: 4.0ms (1.1% of total)

Bogosity

preprocess108.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

18×	`sub-neg`
16×	`fma-define`
11×	`+-commutative`
7×	`associate-+l-`
6×	`neg-mul-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	100
1	35	92
2	56	92
3	82	92
4	111	92
5	125	92
6	137	92
7	148	92
8	152	92

Stop Event

1×

saturated

Calls

Call 1

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

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

explain179.0ms (7.2%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
0	-	-	`x`
0	-	-	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
0	-	-	`(/.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`

Results

141.0ms

512×

256

valid

Compiler

Compiled 58 to 47 computations (19% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-div: 73.0ms (67.6% of total)

ival-log: 17.0ms (15.7% of total)

ival-sub: 13.0ms (12% of total)

ival-neg: 3.0ms (2.8% of total)

const: 2.0ms (1.9% of total)

eval0.0ms (0%)

Compiler: Compiled 8 to 7 computations (12.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))

Compiler

Compiled 8 to 7 computations (12.5% saved)

localize120.0ms (4.8%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.6%	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))

Results

40.0ms

256×

256

valid

Compiler

Compiled 25 to 20 computations (20% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-log: 10.0ms (41.2% of total)

ival-div: 8.0ms (33% of total)

ival-sub: 4.0ms (16.5% of total)

const: 1.0ms (4.1% of total)

ival-neg: 1.0ms (4.1% of total)

series2.0ms (0.1%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))>

Outputs
#<alt (*.f64 #s(literal -1 binary64) (log.f64 x))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (log.f64 x)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) (.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 x)) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))))>
#<alt (log.f64 #s(literal -1 binary64))>
#<alt (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))>
#<alt (log.f64 #s(literal -1 binary64))>
#<alt (-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) x)))>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log (- (/ 1 x) 1))
0.0ms	x	@	inf	(log (- (/ 1 x) 1))
0.0ms	x	@	-inf	(log (- (/ 1 x) 1))

rewrite317.0ms (12.7%)

Algorithm

1×	batch-egg-rewrite

Rules

423×	`log1p-expm1-u`
423×	`expm1-log1p-u`
404×	`add-exp-log`
388×	`unpow-prod-down`
383×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	104	20
2	1277	20

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

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

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

simplify99.0ms (4%)

Algorithm

1×	egg-herbie

Rules

550×	`fma-neg`
442×	`prod-exp`
426×	`associate-r`
332×	`associate-l`
250×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	186	2176
1	356	2094
2	859	2060
3	3309	2060
4	5789	2048

Stop Event

1×	node limit

Counts

64 → 78

Calls

Call 1

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

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

eval55.0ms (2.2%)

Compiler: Compiled 1025 to 590 computations (42.4% saved)

prune15.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	4	79

Accuracy

100.0%

Counts

79 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(neg.f64 (-.f64 (neg.f64 x) (log.f64 x)))
▶	98.0%	(neg.f64 (neg.f64 (log.f64 x)))
✓	99.6%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
▶	0.0%	(neg.f64 (log.f64 #s(literal -1 binary64)))

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize148.0ms (5.9%)

Results

31.0ms

256×

256

invalid

Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-log: 7.0ms (46.3% of total)

ival-neg: 6.0ms (39.7% of total)

ival-sub: 2.0ms (13.2% of total)

const: 1.0ms (6.6% of total)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	3	3
Done	1	1
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(neg.f64 (-.f64 (neg.f64 x) (log.f64 x)))
✓	98.0%	(neg.f64 (neg.f64 (log.f64 x)))
✓	99.6%	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
✓	0.0%	(neg.f64 (log.f64 #s(literal -1 binary64)))

Compiler

Compiled 45 to 36 computations (20% saved)

regimes12.0ms (0.5%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	x
2.0ms	(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
2.0ms	(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
2.0ms	(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
2.0ms	(/.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(neg.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))`
99.6%	1	`(log.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))`
99.6%	1	`(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))`
99.6%	1	`(/.f64 #s(literal 1 binary64) x)`

Compiler

Compiled 27 to 22 computations (18.5% saved)

regimes2.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(neg.f64 (-.f64 (neg.f64 x) (log.f64 x)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(neg.f64 (neg.f64 (log.f64 x)))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

0.0ms

Results

Accuracy	Segments	Branch
0.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

32×	`unsub-neg`
21×	`neg-mul-1`
16×	`distribute-lft-neg-in`
16×	`distribute-neg-in`
15×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	66
1	40	66
2	66	58
3	105	58
4	142	58
5	166	58
6	190	58
7	213	58
8	218	58
9	219	58

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness246.0ms (9.9%)

Rules

550×	`fma-neg`
442×	`prod-exp`
426×	`associate-r`
332×	`associate-l`
250×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	186	2176
1	356	2094
2	859	2060
3	3309	2060
4	5789	2048

Stop Event

1×	done
1×	node limit

Compiler

Compiled 58 to 39 computations (32.8% saved)

preprocess33.0ms (1.3%)

Compiler: Compiled 50 to 38 computations (24% saved)

neg log

analyze6.0ms (0.2%)

sample1.1s (45.7%)

preprocess108.0ms (4.3%)

explain179.0ms (7.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize120.0ms (4.8%)

series2.0ms (0.1%)

rewrite317.0ms (12.7%)

simplify99.0ms (4%)

eval55.0ms (2.2%)

prune15.0ms (0.6%)

localize148.0ms (5.9%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes12.0ms (0.5%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes1.0ms (0%)

simplify7.0ms (0.3%)

soundness246.0ms (9.9%)

preprocess33.0ms (1.3%)

end0.0ms (0%)

Profiling