Metrics for qlog (example 3.10)

analyze938.0ms (8.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
0%	0%	50%	50%	0%	0%	0%	2
0%	0%	50%	50%	0%	0%	0%	3
0%	0%	50%	50%	0%	0%	0%	4
0%	0%	50%	50%	0%	0%	0%	5
0%	0%	50%	50%	0%	0%	0%	6
3.1%	1.6%	48.4%	50%	0%	0%	0%	7
6.3%	3.1%	46.8%	50%	0%	0%	0%	8
7%	3.5%	46.4%	50%	0%	0%	0%	9
7.4%	3.7%	46.2%	50%	0%	0%	0%	10
7.8%	3.9%	46%	50%	0%	0%	0%	11
8%	4%	46%	50%	0%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 350.0ms

ival-fabs: 127.0ms (36.3% of total)

ival-log: 105.0ms (30% of total)

ival-add: 59.0ms (16.8% of total)

ival-sub: 23.0ms (6.6% of total)

ival-<=: 18.0ms (5.1% of total)

ival-div: 14.0ms (4% of total)

const: 2.0ms (0.6% of total)

backward-pass: 1.0ms (0.3% of total)

sample4.9s (45%)

Results

2.9s	3918×	2	valid
1.4s	4091×	1	valid
24.0ms	247×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 3.8s

ival-log: 2.7s (69.2% of total)

ival-div: 378.0ms (9.8% of total)

ival-add: 239.0ms (6.2% of total)

backward-pass: 211.0ms (5.5% of total)

ival-sub: 175.0ms (4.5% of total)

ival-<=: 95.0ms (2.5% of total)

ival-fabs: 74.0ms (1.9% of total)

const: 14.0ms (0.4% of total)

Bogosity

preprocess50.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

31×	`fma-neg`
29×	`fma-define`
24×	`sub-neg`
11×	`+-commutative`
10×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	124
1	40	104
2	61	104
3	102	104
4	151	104
5	203	104
6	235	104
7	254	104
8	274	104
9	276	104

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x))) (log.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x))))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x))) (log1p.f64 (neg.f64 x)))
(/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(neg.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x))) (log.f64 (+.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 (log1p.f64 (neg.f64 x))))
(/.f64 (neg.f64 (log1p.f64 x)) (log1p.f64 (neg.f64 x)))
(/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))

explain308.0ms (2.9%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
255	0	-	-	`(log.f64 (-.f64 #s(literal 1 binary64) x))`
254	1	(-0.0024197577933361388)	-	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
0	0	-	-	`x`
0	0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(+.f64 #s(literal 1 binary64) x)`
0	0	-	-	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`

Results

151.0ms	270×	2	valid
61.0ms	224×	1	valid
3.0ms	18×	0	valid

Compiler

Compiled 64 to 23 computations (64.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-log: 125.0ms (74.7% of total)

backward-pass: 16.0ms (9.6% of total)

ival-div: 9.0ms (5.4% of total)

ival-add: 8.0ms (4.8% of total)

ival-sub: 8.0ms (4.8% of total)

const: 1.0ms (0.6% of total)

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(log1p.f64 x)
✓	cost-diff	(neg.f64 x)
✓	cost-diff	(log1p.f64 (neg.f64 x))
✓	cost-diff	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Rules

7×	`sub-neg`
5×	`fma-define`
5×	`+-commutative`
4×	`associate-+l-`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	19	57
2	29	57
3	37	57
4	47	57
5	57	57
6	76	57
7	81	57

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
(log1p.f64 x)

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
(log1p.f64 x)

localize24.0ms (0.2%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(log1p.f64 (neg.f64 x))
✓	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Results

17.0ms

256×

valid

Compiler

Compiled 16 to 6 computations (62.5% saved)

Precisions

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

ival-log1p: 4.0ms (54.9% of total)

ival-div: 2.0ms (27.4% of total)

ival-neg: 2.0ms (27.4% of total)

const: 0.0ms (0% of total)

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

series12.0ms (0.1%)

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))>
#<alt (log1p.f64 (neg.f64 x))>
#<alt (neg.f64 x)>
#<alt (log1p.f64 x)>

Outputs
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 2 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 x (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 x (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x))))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 x (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))) x)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))) (.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (.f64 x (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))) x)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64))))))))) x)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))) x)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))>
#<alt (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))>
#<alt (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.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 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.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 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.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 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.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)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))))>

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/ (log (+ 1 (neg x))) (log (+ 1 x)))
3.0ms	x	@	inf	(/ (log (+ 1 (neg x))) (log (+ 1 x)))
1.0ms	x	@	0	(/ (log (+ 1 (neg x))) (log (+ 1 x)))
1.0ms	x	@	-inf	(log (+ 1 (neg x)))
0.0ms	x	@	inf	(log (+ 1 (neg x)))

rewrite182.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

342×	`unpow-prod-down`
314×	`log1p-expm1-u`
314×	`expm1-log1p-u`
273×	`add-exp-log`
267×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	112	41
2	1490	21

Stop Event

1×	node limit

Counts

4 → 125

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
(log1p.f64 x)

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

simplify131.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

454×	`fma-neg`
289×	`associate-/r*`
238×	`cancel-sign-sub-inv`
227×	`div-sub`
220×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	412	6115
1	1009	5642
2	4449	5486

Stop Event

1×	node limit

Counts

173 → 220

Calls

Call 1

Inputs
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 2 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 x (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
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(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) x)
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 x) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 x (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/6 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) x)
(.f64 (cbrt.f64 (pow.f64 (.f64 x (cbrt.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 5/2 binary64))) (pow.f64 x #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))) (cbrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (cbrt.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) (pow.f64 x #s(literal 1/6 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (log.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(-.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal 1 binary64))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (log1p.f64 x))
(*.f64 (log1p.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log1p.f64 x))
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(*.f64 (pow.f64 (log1p.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (log1p.f64 x) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 5/2 binary64))) (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 4 binary64))) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) #s(literal 3/2 binary64))) (pow.f64 (log1p.f64 x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 5 binary64))) (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)))
(pow.f64 (log1p.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (log1p.f64 x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log1p.f64 x)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (log1p.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 x)))) (sqrt.f64 (log.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(log.f64 (+.f64 x #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (log1p.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) #s(literal 2 binary64)))

Outputs
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) x)
(-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 2 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 x (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (log.f64 x)))) (/.f64 (/.f64 (log.f64 #s(literal -1 binary64)) x) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))))
(-.f64 (+.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x)) (/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (log.f64 x)))) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))) x))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 x (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (log.f64 x))) (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (log.f64 x))) (/.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (log.f64 x)) (pow.f64 x #s(literal 2 binary64)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (log.f64 x))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))) (.f64 (neg.f64 (log.f64 x)) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (neg.f64 (log.f64 x)))) (*.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 (log.f64 #s(literal -1 binary64)) x) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x)) (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (log.f64 x))) (/.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (log.f64 x)) (pow.f64 x #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 x (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (log.f64 x))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64))) (log.f64 x))))
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(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
x
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
x
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
x
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
x
(pow.f64 (E.f64) (log.f64 x))
x
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) #s(literal 3 binary64)))
x
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1/3 binary64)))
x
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
x
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
x
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
x
(fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
x
(+.f64 #s(literal 0 binary64) (log1p.f64 x))
(log1p.f64 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (+.f64 x #s(literal 1 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (log.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (fma.f64 x x x)))
(-.f64 (+.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal 1 binary64))
(log1p.f64 x)
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (log1p.f64 x))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (log1p.f64 x))
(*.f64 (log1p.f64 x) #s(literal 1 binary64))
(log1p.f64 x)
(*.f64 #s(literal 1 binary64) (log1p.f64 x))
(log1p.f64 x)
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)))
(log1p.f64 x)
(*.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(log1p.f64 x)
(*.f64 (pow.f64 (log1p.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (log1p.f64 x) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 5/2 binary64))) (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log1p.f64 x) (cbrt.f64 (log1p.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 4 binary64)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 8 binary64))) (cbrt.f64 (cbrt.f64 (log1p.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 5/2 binary64))) (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 4 binary64))) (cbrt.f64 (log1p.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (log1p.f64 x) #s(literal 3/2 binary64))) (pow.f64 (log1p.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (log1p.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (log1p.f64 x) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 5 binary64))) (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (log1p.f64 x) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 5 binary64))))
(pow.f64 (log1p.f64 x) #s(literal 1 binary64))
(log1p.f64 x)
(pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 3 binary64))
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(log1p.f64 x)
(pow.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log1p.f64 x)
(pow.f64 (sqrt.f64 (log1p.f64 x)) #s(literal 2 binary64))
(log1p.f64 x)
(pow.f64 (E.f64) (log.f64 (log1p.f64 x)))
(log1p.f64 x)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (log1p.f64 x)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (log1p.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 x)))) (sqrt.f64 (log.f64 (log1p.f64 x))))
(sqrt.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(log1p.f64 x)
(log.f64 (+.f64 x #s(literal 1 binary64)))
(log1p.f64 x)
(cbrt.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))
(log1p.f64 x)
(expm1.f64 (log1p.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (log.f64 (log1p.f64 x)))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 x))) #s(literal 3 binary64)))
(log1p.f64 x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (log1p.f64 x))) #s(literal 1/3 binary64)))
(log1p.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 x))) #s(literal 2 binary64)))
(log1p.f64 x)

eval27.0ms (0.3%)

Compiler: Compiled 5252 to 1036 computations (80.3% saved)

prune30.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	213	7	220
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	213	8	221

Accuracy

100.0%

Counts

221 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (log1p.f64 x)) (log1p.f64 x))
	99.6%	(/.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (log1p.f64 x))
	99.6%	(/.f64 (log1p.f64 (neg.f64 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))))
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	99.6%	(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
▶	99.4%	(-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
▶	99.0%	(-.f64 #s(literal -1 binary64) x)
▶	97.7%	#s(literal -1 binary64)

Compiler

Compiled 169 to 123 computations (27.2% saved)

simplify338.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-12544	(.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	cost-diff	-6272	(-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))
✓	cost-diff	-6272	(.f64 x (-.f64 (.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)))
✓	cost-diff	0	(*.f64 #s(literal -5/12 binary64) x)
✓	cost-diff	-12544	(-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	cost-diff	-6272	(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
✓	cost-diff	-6272	(.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 #s(literal -1/2 binary64) x)
✓	cost-diff	0	(-.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(neg.f64 (pow.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))
✓	cost-diff	0	(-.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (log1p.f64 x))
✓	cost-diff	6400	(/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (log1p.f64 x)) (log1p.f64 x))

Rules

1843×	`fma-neg`
1495×	`fma-define`
442×	`unsub-neg`
365×	`sub-neg`
299×	`distribute-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	357
1	66	350
2	108	350
3	198	350
4	343	350
5	568	350
6	1026	350
7	2088	350
8	3533	350
9	4220	350
10	4446	350
11	4449	350
12	4450	350
13	6063	350
14	7051	350
15	7559	350
16	7666	350
17	7746	350
18	7746	350
19	7746	350

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (log1p.f64 x)) (log1p.f64 x))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (log1p.f64 x))
(log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(log1p.f64 x)
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
x
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
x
(-.f64 (.f64 x (-.f64 (.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 x (-.f64 (.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal -5/12 binary64) x)
#s(literal -5/12 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)

Outputs
(/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (log1p.f64 x)) (log1p.f64 x))
(+.f64 (/.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (log1p.f64 x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (log1p.f64 x)))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (log1p.f64 x))
(log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(log1p.f64 x)
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)))
(*.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))
x
(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
x
(-.f64 (.f64 x (-.f64 (.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(.f64 x (-.f64 (.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64)))
(*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))
(-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
(*.f64 #s(literal -5/12 binary64) x)
(*.f64 x #s(literal -5/12 binary64))
#s(literal -5/12 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize354.0ms (3.3%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	accuracy	100.0%	(.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(.f64 x (-.f64 (.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)))
✓	accuracy	99.7%	(*.f64 #s(literal -5/12 binary64) x)
✓	accuracy	100.0%	(-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal -1 binary64) x)
	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(-.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (log1p.f64 x))
✓	accuracy	100.0%	(log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))
✓	accuracy	100.0%	(/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (log1p.f64 x)) (log1p.f64 x))

Results

77.0ms	42×	5	exit
67.0ms	214×	0	valid

Compiler

Compiled 122 to 25 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-sub: 21.0ms (23.9% of total)

...c/correct-round.rkt:121:19: 17.0ms (19.3% of total)

ival-mult: 14.0ms (15.9% of total)

backward-pass: 11.0ms (12.5% of total)

ival-div: 7.0ms (8% of total)

ival-neg: 6.0ms (6.8% of total)

ival-pow: 6.0ms (6.8% of total)

ival-log1p: 5.0ms (5.7% of total)

const: 1.0ms (1.1% of total)

series31.0ms (0.3%)

Counts

14 → 127

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (log1p.f64 x)) (log1p.f64 x))>
#<alt (-.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (log1p.f64 x))>
#<alt (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))>
#<alt (neg.f64 (pow.f64 x #s(literal 2 binary64)))>
#<alt (-.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (.f64 x (-.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 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -5/12 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)))>
#<alt (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))>
#<alt (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))>
#<alt (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))>

Outputs
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 2 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 x (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 x (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x))))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 x (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))) x))) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))) (.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (.f64 x (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))) x))) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))))))) x)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))) x))) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))>
#<alt (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))>
#<alt (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.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 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.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 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.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 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.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 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x) #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 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.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 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.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 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal -1 binary64)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))>
#<alt (*.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 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64)))>
#<alt (*.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 binary64) x))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -5/12 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 5/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -5/12 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 5/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt #s(literal -1/2 binary64)>
#<alt (*.f64 #s(literal -5/12 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 5/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 5/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 5/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -5/12 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 5/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 5/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 5/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -5/12 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 5/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 5/12 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 5/12 binary64)))>
#<alt (*.f64 #s(literal -5/12 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 5/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/12 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.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 5/12 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -5/12 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 5/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 5/12 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 5/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -5/12 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 5/12 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 5/12 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.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 5/12 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/2 binary64)) x)))))>

Calls

42 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/ (- (log (+ 1 (neg (pow x 2)))) (log (+ 1 x))) (log (+ 1 x)))
2.0ms	x	@	inf	(/ (- (log (+ 1 (neg (pow x 2)))) (log (+ 1 x))) (log (+ 1 x)))
2.0ms	x	@	0	(* x (- (* -1/2 x) 1))
2.0ms	x	@	inf	(log (+ 1 (neg (pow x 2))))
1.0ms	x	@	0	(log (+ 1 (neg (pow x 2))))

rewrite235.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

978×	`log1p-expm1-u`
219×	`expm1-log1p-u`
209×	`pow1`
208×	`add-log-exp`
208×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	292
1	467	269
2	6726	269

Stop Event

1×	node limit

Counts

14 → 376

Calls

Call 1

Inputs
(/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (log1p.f64 x)) (log1p.f64 x))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (log1p.f64 x))
(log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(neg.f64 (pow.f64 x #s(literal 2 binary64)))
(-.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(.f64 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 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -5/12 binary64) x)
(.f64 x (-.f64 (.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))
(.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))

Outputs
(+.f64 (/.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log1p.f64 x)) #s(literal -1 binary64))
(-.f64 (/.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log1p.f64 x)) #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (log1p.f64 x)))
(*.f64 (+.f64 (/.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log1p.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log1p.f64 x)) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log1p.f64 x)) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log1p.f64 x)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log1p.f64 x)) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log1p.f64 x)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log1p.f64 x))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log1p.f64 x))) (log1p.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log1p.f64 x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log1p.f64 x))) (/.f64 #s(literal 1 binary64) (log1p.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log1p.f64 x)) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (/.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log1p.f64 x)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log1p.f64 x))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log1p.f64 x))) (log1p.f64 x)))
(.f64 (sqrt.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log1p.f64 x))) (.f64 (sqrt.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log1p.f64 x))) (/.f64 #s(literal 1 binary64) (log1p.f64 x))))
(*.f64 (neg.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log1p.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (-.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log1p.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64))) (/.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log1p.f64 x)) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log1p.f64 x))) (/.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))))
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(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))

simplify274.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

338×	`associate-r`
329×	`fma-define`
324×	`associate-l`
294×	`distribute-rgt-in`
282×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1001	19267
1	2424	17145

Stop Event

1×	node limit

Counts

503 → 605

Calls

Call 1

Inputs
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 2 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 x (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 x (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x))))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 x (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))))))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(-.f64 (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))) x))) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))
(-.f64 (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))) (.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (.f64 x (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))) x))) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))
(-.f64 (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))))))) x)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))))) x)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))) x))) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))
(*.f64 #s(literal -1 binary64) x)
(.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.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 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (.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 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.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 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(-.f64 (+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.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 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #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 -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
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(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -125/1728 binary64)) #s(literal -1/8 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 25/144 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -5/24 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -125/1728 binary64)) #s(literal -1/8 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 25/144 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x #s(literal -5/12 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 25/144 binary64)) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 25/144 binary64)) #s(literal -1/4 binary64)) (-.f64 (.f64 x #s(literal -5/12 binary64)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -125/1728 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 25/144 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -5/24 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 25/144 binary64)) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal 1/2 binary64))))
(pow.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -5/12 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal -5/12 binary64) x #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x #s(literal -5/12 binary64))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x #s(literal -5/12 binary64))) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 (.f64 x #s(literal -5/12 binary64))) (sqrt.f64 (.f64 x #s(literal -5/12 binary64))) #s(literal -1/2 binary64))
(+.f64 (.f64 x (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)))) (neg.f64 x))
(+.f64 (.f64 (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) x) (neg.f64 x))
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (+.f64 (pow.f64 (*.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) x) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (+.f64 (sqrt.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))

Outputs
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) x)
(-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x))) (neg.f64 (neg.f64 (log.f64 x))))) (neg.f64 (log.f64 x))))
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(.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (neg.f64 (+.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (-.f64 (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(expm1.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x #s(literal -1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/12 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))

eval85.0ms (0.8%)

Compiler: Compiled 13776 to 2550 computations (81.5% saved)

prune265.0ms (2.5%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	680	1	681
Fresh	0	2	2
Picked	1	4	5
Done	0	1	1
Total	681	8	689

Accuracy

100.0%

Counts

689 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (log1p.f64 x))
▶	99.6%	(/.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (log1p.f64 x))
▶	99.6%	(/.f64 (log1p.f64 (neg.f64 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))))
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.6%	(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	99.4%	(-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	99.0%	(-.f64 #s(literal -1 binary64) x)
✓	97.7%	#s(literal -1 binary64)

Compiler

Compiled 88 to 63 computations (28.4% saved)

simplify97.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (neg.f64 x) x)
✓	cost-diff	0	(log1p.f64 (*.f64 (neg.f64 x) x))
✓	cost-diff	0	(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
✓	cost-diff	6400	(/.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (log1p.f64 x))
✓	cost-diff	-6272	(-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))
✓	cost-diff	-6272	(.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)))
	cost-diff	0	(log1p.f64 x)
✓	cost-diff	0	(*.f64 #s(literal -1/4 binary64) x)
✓	cost-diff	-6272	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x)))
✓	cost-diff	0	(*.f64 #s(literal -1/4 binary64) x)
	cost-diff	0	(neg.f64 x)
	cost-diff	0	(log1p.f64 (neg.f64 x))

Rules

675×	`fma-define`
546×	`distribute-lft-in`
506×	`distribute-rgt-in`
447×	`fma-neg`
416×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	689
1	93	642
2	179	642
3	465	642
4	1152	642
5	2663	642
6	4763	642
7	7190	642

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))
(-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x)))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))
#s(literal 1/3 binary64)
(*.f64 #s(literal -1/4 binary64) x)
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(/.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (log1p.f64 x))
(.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
x
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
(-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))
(.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)))
(-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/4 binary64) x)
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(log1p.f64 x)
(/.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (log1p.f64 x))
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
(log1p.f64 (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(log1p.f64 x)

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))))
(/.f64 (log1p.f64 (neg.f64 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal -1/2 binary64))))))
(/.f64 (log1p.f64 (neg.f64 x)) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (log1p.f64 (neg.f64 x)) x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(log1p.f64 (neg.f64 x))
(neg.f64 x)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal -1/2 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))) #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))
(.f64 x (fma.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))) #s(literal -1/2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
(-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))
(fma.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal -1/2 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x)))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 x #s(literal -1/4 binary64))))
(*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(*.f64 #s(literal -1/4 binary64) x)
(*.f64 x #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(literal 1/2 binary64)
(/.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (log1p.f64 x))
(*.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (log1p.f64 x)))
(*.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (log1p.f64 x)))
(.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
x
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))
(fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)))
(*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)))
(*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))
(-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/4 binary64) x)
(*.f64 x #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(log1p.f64 x)
(/.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (log1p.f64 x))
(/.f64 (-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (log1p.f64 x))
(+.f64 (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)))
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x))
(log1p.f64 (*.f64 (neg.f64 x) x))
(log1p.f64 (*.f64 x (neg.f64 x)))
(*.f64 (neg.f64 x) x)
(*.f64 x (neg.f64 x))
(neg.f64 x)
x
(log1p.f64 x)

localize370.0ms (3.4%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(log1p.f64 x)
✓	accuracy	100.0%	(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
✓	accuracy	100.0%	(log1p.f64 (*.f64 (neg.f64 x) x))
✓	accuracy	100.0%	(/.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (log1p.f64 x))
✓	accuracy	100.0%	(.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))
✓	accuracy	100.0%	(/.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (log1p.f64 x))
✓	accuracy	99.5%	(.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)))
✓	accuracy	100.0%	(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))
✓	accuracy	100.0%	(.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))))
✓	accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x)))

Results

222.0ms

256×

valid

Compiler

Compiled 215 to 28 computations (87% saved)

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-log1p: 135.0ms (77% of total)

ival-mult: 20.0ms (11.4% of total)

ival-sub: 6.0ms (3.4% of total)

ival-div: 5.0ms (2.9% of total)

...c/correct-round.rkt:121:19: 4.0ms (2.3% of total)

ival-add: 3.0ms (1.7% of total)

ival-neg: 2.0ms (1.1% of total)

const: 1.0ms (0.6% of total)

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

series43.0ms (0.4%)

Counts

13 → 129

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal -1/4 binary64) x)>
#<alt (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x)))>
#<alt (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)))>
#<alt (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))>
#<alt (/.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (log1p.f64 x))>
#<alt (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))>
#<alt (log1p.f64 (*.f64 (neg.f64 x) x))>
#<alt (*.f64 (neg.f64 x) x)>
#<alt (/.f64 (log1p.f64 (neg.f64 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))))>
#<alt (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))>
#<alt (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))>
#<alt (/.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (log1p.f64 x))>
#<alt (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))>

Outputs
#<alt (*.f64 #s(literal 1/3 binary64) x)>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))>
#<alt (*.f64 #s(literal -1/3 binary64) x)>
#<alt (*.f64 #s(literal -1/4 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 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1/4 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 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt #s(literal -1/3 binary64)>
#<alt (*.f64 #s(literal -1/4 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1/4 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) x))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 2 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 x (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 x (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x))))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 x (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 2 binary64))))) x))) (.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))>
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#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/4 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) x)) #s(literal 1/4 binary64)))>

Calls

39 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	(/ (- (log (+ 1 (* (neg x) x))) (log (+ 1 x))) (log (+ 1 x)))
3.0ms	x	@	-inf	(/ (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) (log (+ 1 x)))
3.0ms	x	@	-inf	(* x (+ 1/3 (* -1/4 x)))
2.0ms	x	@	inf	(/ (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)) (log (+ 1 x)))
2.0ms	x	@	inf	(/ (log (+ 1 (neg x))) (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))))

rewrite182.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

275×	`log1p-expm1-u`
275×	`expm1-log1p-u`
265×	`add-log-exp`
265×	`add-cube-cbrt`
264×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	406
1	591	296

Stop Event

1×	node limit

Counts

13 → 291

Calls

Call 1

Inputs
(*.f64 #s(literal -1/4 binary64) x)
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x)))
(.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)))
(-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))
(/.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (log1p.f64 x))
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x))
(log1p.f64 (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) x)
(/.f64 (log1p.f64 (neg.f64 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))))
(.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))
(/.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (log1p.f64 x))
(.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/4 binary64) x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/64 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal -1/4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/4 binary64) x))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/64 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/4 binary64) x)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/4 binary64) x)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/4 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -1/4 binary64) x)) #s(literal 1 binary64)))
(+.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(+.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64)) (.f64 x #s(literal 1/3 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64)) (.f64 #s(literal 1/3 binary64) x))
(+.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (.f64 x #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x #s(literal 1/3 binary64))) (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))) (.f64 (.f64 x #s(literal 1/3 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) x) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 x #s(literal 1/3 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (-.f64 (.f64 x #s(literal 1/3 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 #s(literal 1/3 binary64) x)) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64)))) (-.f64 (.f64 #s(literal 1/3 binary64) x) (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(pow.f64 (*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64)) (.f64 x #s(literal -1/3 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/4 binary64)) (.f64 #s(literal -1/3 binary64) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal -1/3 binary64))
(+.f64 (.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1 binary64)) #s(literal -1/3 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))) (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))
(.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))))))
(.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)))) (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal -1/9 binary64))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal -1/3 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal -1/9 binary64)) (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal -1/9 binary64)) (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal -1/3 binary64)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64))) (neg.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/16 binary64)) #s(literal -1/9 binary64))) (neg.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))))
(pow.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) x) #s(literal -1/3 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -1/4 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal -1/4 binary64) x)) #s(literal -1/3 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/4 binary64) x)) (sqrt.f64 (.f64 #s(literal -1/4 binary64) x)) #s(literal -1/3 binary64))
#s(literal 1 binary64)
(+.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 (log1p.f64 x)))
(+.f64 (log1p.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (sqrt.f64 (log1p.f64 x)) (log1p.f64 x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 (.f64 (log1p.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (log1p.f64 x)) #s(literal 1 binary64) (.f64 (log1p.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (log1p.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 (.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (.f64 (log1p.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (log1p.f64 x)) #s(literal 1 binary64) (.f64 (log1p.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (.f64 (log1p.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (log1p.f64 x)) #s(literal 1 binary64) (.f64 (log1p.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 x))) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)))))
(+.f64 (.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (neg.f64 (log1p.f64 x)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (log1p.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)))
(.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log1p.f64 (pow.f64 x #s(literal 2 binary64))))))))
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(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) x)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))

simplify241.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

502×	`fma-define`
403×	`associate-r`
246×	`times-frac`
234×	`sub-neg`
230×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1074	21483
1	2914	19606

Stop Event

1×	node limit

Counts

420 → 582

Calls

Call 1

Inputs
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64)))
(*.f64 #s(literal -1/3 binary64) x)
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(literal -1/3 binary64)
(*.f64 #s(literal -1/4 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1/4 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 2 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 x (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x)))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 x (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 2 binary64) (.f64 x (log.f64 (/.f64 #s(literal 1 binary64) x))))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))) (.f64 (pow.f64 x #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 3 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 (log.f64 #s(literal -1 binary64)) (.f64 x (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))))))))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
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(exp.f64 (log.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal -1/4 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal -1/4 binary64) x)) #s(literal 1/3 binary64))
(fma.f64 (sqrt.f64 (.f64 #s(literal -1/4 binary64) x)) (sqrt.f64 (.f64 #s(literal -1/4 binary64) x)) #s(literal 1/3 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (log1p.f64 x))))) #s(literal 1 binary64))
(*.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (log1p.f64 x)))
(.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (log1p.f64 x))))
(.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (log1p.f64 x)))
(.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (log1p.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (log1p.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (log1p.f64 x)))))
(.f64 (sqrt.f64 (.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (log1p.f64 x)))) (sqrt.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (log1p.f64 x)))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64))) (/.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (cbrt.f64 (log1p.f64 x))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (log1p.f64 x))) (/.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (log1p.f64 x))) (/.f64 x (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (log1p.f64 x)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 x (sqrt.f64 (log1p.f64 x))) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (log1p.f64 x))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x (log1p.f64 x)))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (log1p.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (log1p.f64 x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64)) (sqrt.f64 (log1p.f64 x))) (/.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (log1p.f64 x))))
(.f64 (/.f64 (sqrt.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (log1p.f64 x)))
(.f64 (/.f64 (sqrt.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (pow.f64 (cbrt.f64 (log1p.f64 x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (cbrt.f64 (log1p.f64 x))))
(pow.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (log1p.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (log1p.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (log1p.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (log1p.f64 x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (log1p.f64 x) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))
(neg.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (log1p.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (log1p.f64 x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (log1p.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (log1p.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (log1p.f64 x))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (log1p.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (log1p.f64 x)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (log1p.f64 x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (log1p.f64 x)))) #s(literal 1 binary64)))
(+.f64 (.f64 x (.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))) x) x)
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 2 binary64))
(neg.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) x)))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64)))

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

eval197.0ms (1.8%)

Compiler: Compiled 24033 to 4263 computations (82.3% saved)

prune494.0ms (4.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	907	1	908
Fresh	0	0	0
Picked	3	0	3
Done	0	5	5
Total	910	6	916

Accuracy

100.0%

Counts

916 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))))
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.6%	(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	99.4%	(-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	99.0%	(-.f64 #s(literal -1 binary64) x)
✓	97.7%	#s(literal -1 binary64)

Compiler

Compiled 69 to 46 computations (33.3% saved)

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

Metric	Score	Program
cost-diff	-6272	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x)))
cost-diff	-6272	(-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))
cost-diff	-6272	(.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)))
cost-diff	0	(*.f64 #s(literal -1/4 binary64) x)

Rules

774×	`div-sub`
693×	`fma-define`
496×	`times-frac`
369×	`distribute-lft-in`
336×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	479
1	72	427
2	160	421
3	452	421
4	1440	421
5	4445	421
6	7255	421

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))))
(.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
x
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
(-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))
(.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)))
(-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/4 binary64) x)
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))
(.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))
(-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x)))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))

Outputs
(/.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))))
(.f64 x (/.f64 (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
x
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64)))
(-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))
(fma.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
(.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)))
(*.f64 x (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64)))
(*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))
(-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/4 binary64) x)
(*.f64 x #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(literal 1/3 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 x (fma.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))
(.f64 x (fma.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
(-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))
(fma.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x)))
(.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))

localize98.0ms (0.9%)

Localize:

Found 4 expressions of interest:

Metric	Score	Program
accuracy	100.0%	(-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))
accuracy	100.0%	(.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64)))
accuracy	99.5%	(.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)))
accuracy	99.5%	(.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x)))

Results

67.0ms

256×

valid

Compiler

Compiled 161 to 20 computations (87.6% saved)

Precisions

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

ival-mult: 13.0ms (46% of total)

ival-sub: 6.0ms (21.2% of total)

...c/correct-round.rkt:121:19: 4.0ms (14.2% of total)

ival-add: 3.0ms (10.6% of total)

ival-div: 2.0ms (7.1% of total)

const: 1.0ms (3.5% of total)

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

eval29.0ms (0.3%)

Compiler: Compiled 6050 to 1272 computations (79% saved)

prune24.0ms (0.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	175	6	181

Accuracy

100.0%

Counts

181 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(/.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))))
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.6%	(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	99.4%	(-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	99.0%	(-.f64 #s(literal -1 binary64) x)
✓	97.7%	#s(literal -1 binary64)

Compiler

Compiled 201 to 100 computations (50.2% saved)

regimes7.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))))
(/.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (log1p.f64 x))
(/.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (log1p.f64 x)) (log1p.f64 x))

Outputs
(/.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (log1p.f64 x))

Calls

2 calls:

3.0ms	x
3.0ms	(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))))
(/.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))`

Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes3.0ms (0%)

Counts

7 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))))
(/.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))))

Outputs

(/.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))

Outputs
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
99.0%	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
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
97.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative`
19×	`+-commutative`
17×	`sub-neg`
6×	`neg-sub0`
6×	`mul-1-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	275
1	85	275
2	108	275
3	129	275
4	133	275

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))))
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)

Outputs
(/.f64 (-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 x)) (log1p.f64 x))
(/.f64 (-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 x)) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))))
(/.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (.f64 x (+.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64))) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))))
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 #s(literal -5/12 binary64) x) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 x #s(literal -5/12 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 (.f64 x (+.f64 (.f64 x (-.f64 (*.f64 x #s(literal -5/12 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))
(-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (.f64 x (-.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 (.f64 x (+.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)

soundness684.0ms (6.3%)

Rules

978×	`log1p-expm1-u`
454×	`fma-neg`
342×	`unpow-prod-down`
314×	`log1p-expm1-u`
314×	`expm1-log1p-u`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	124
1	40	104
2	61	104
3	102	104
4	151	104
5	203	104
6	235	104
7	254	104
8	274	104
9	276	104
0	29	292
1	467	269
2	6726	269
0	412	6115
1	1009	5642
2	4449	5486
0	10	57
1	112	41
2	1490	21

Stop Event

1×	done
1×	node limit
1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 530 to 186 computations (64.9% saved)

preprocess73.0ms (0.7%)

Compiler: Compiled 184 to 106 computations (42.4% saved)

Iter	Nodes	Cost
0	19	124
1	40	104
2	61	104
3	102	104
4	151	104
5	203	104
6	235	104
7	254	104
8	274	104
9	276	104

Iter	Nodes	Cost
0	19	124
1	40	104
2	61	104
3	102	104
4	151	104
5	203	104
6	235	104
7	254	104
8	274	104
9	276	104

analyze938.0ms (8.7%)

sample4.9s (45%)

preprocess50.0ms (0.5%)

explain308.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize24.0ms (0.2%)

series12.0ms (0.1%)

rewrite182.0ms (1.7%)

simplify131.0ms (1.2%)

eval27.0ms (0.3%)

prune30.0ms (0.3%)

simplify338.0ms (3.1%)

localize354.0ms (3.3%)

series31.0ms (0.3%)

rewrite235.0ms (2.2%)

simplify274.0ms (2.5%)

eval85.0ms (0.8%)

prune265.0ms (2.5%)

simplify97.0ms (0.9%)

localize370.0ms (3.4%)

series43.0ms (0.4%)

rewrite182.0ms (1.7%)

simplify241.0ms (2.2%)

eval197.0ms (1.8%)

prune494.0ms (4.6%)

simplify79.0ms (0.7%)

localize98.0ms (0.9%)

eval29.0ms (0.3%)

prune24.0ms (0.2%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify7.0ms (0.1%)

soundness684.0ms (6.3%)

preprocess73.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	124
1	40	104
2	61	104
3	102	104
4	151	104
5	203	104
6	235	104
7	254	104
8	274	104
9	276	104