Metrics for 2frac (problem 3.3.1)

analyze4.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 2.0ms (72.7% of total)

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

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

const: 0.0ms (0% of total)

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

sample1000.0ms (22.5%)

Results

480.0ms	3920×	1	valid
258.0ms	4336×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 472.0ms

ival-div: 239.0ms (50.6% of total)

ival-add: 110.0ms (23.3% of total)

ival-sub: 61.0ms (12.9% of total)

backward-pass: 49.0ms (10.4% of total)

const: 13.0ms (2.8% of total)

Bogosity

preprocess86.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

89×	`fma-neg`
39×	`fma-define`
24×	`distribute-lft-neg-in`
23×	`sub-neg`
20×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	144
1	34	128
2	70	124
3	138	124
4	236	124
5	334	124
6	411	124
7	456	124
8	473	124
9	475	124

Stop Event

1×

saturated

Calls

Call 1

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

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

explain108.0ms (2.4%)

FPErrors

Click to see full error table

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

Results

43.0ms	240×	0	valid
37.0ms	272×	1	valid

Compiler

Compiled 58 to 20 computations (65.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 13.0ms (48.1% of total)

ival-add: 5.0ms (18.5% of total)

ival-sub: 4.0ms (14.8% of total)

backward-pass: 4.0ms (14.8% of total)

const: 1.0ms (3.7% of total)

eval0.0ms (0%)

Compiler: Compiled 19 to 9 computations (52.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.1%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify20.0ms (0.4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Rules

50×	`fma-neg`
45×	`fma-define`
18×	`sub-neg`
13×	`distribute-lft-neg-in`
13×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	72
1	19	72
2	27	72
3	38	72
4	51	72
5	73	72
6	121	72
7	176	72
8	250	72
9	317	72
10	349	72
11	351	72

Stop Event

1×

saturated

Calls

Call 1

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

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

localize42.0ms (0.9%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	70.1%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))

Results

24.0ms	136×	1	valid
8.0ms	120×	0	valid

Compiler

Compiled 24 to 7 computations (70.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 9.0ms (48.1% of total)

backward-pass: 5.0ms (26.7% of total)

ival-add: 3.0ms (16% of total)

ival-sub: 2.0ms (10.7% of total)

const: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts

4 → 36

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite246.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

777×	`log1p-expm1-u`
777×	`prod-diff`
777×	`expm1-log1p-u`
332×	`log-prod`
325×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	67
1	148	67
2	2293	67

Stop Event

1×	node limit

Counts

4 → 241

Calls

Call 1

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

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

simplify195.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

817×	`fma-neg`
404×	`distribute-lft-in`
329×	`div-sub`
289×	`unsub-neg`
226×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	512	9691
1	1190	9275
2	3735	8168

Stop Event

1×	node limit

Counts

277 → 371

Calls

Call 1

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

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

eval43.0ms (1%)

Compiler: Compiled 6515 to 969 computations (85.1% saved)

prune49.0ms (1.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	361	10	371
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	361	11	372

Accuracy

100.0%

Counts

372 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.6%	(/.f64 (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) x)
▶	70.6%	(/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
▶	45.3%	(/.f64 (-.f64 x #s(literal 1 binary64)) x)
▶	99.3%	(/.f64 #s(literal -1 binary64) (+.f64 x (pow.f64 x #s(literal 2 binary64))))
▶	46.3%	(/.f64 #s(literal -1 binary64) x)
✓	70.1%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
	70.2%	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) x))
▶	25.2%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
	45.5%	(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
	45.3%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	56.1%	(neg.f64 (pow.f64 x #s(literal -2 binary64)))

Compiler

Compiled 172 to 108 computations (37.2% saved)

simplify74.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(*.f64 x (+.f64 #s(literal 1 binary64) x))
✓	cost-diff	-6016	(/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) x)
✓	cost-diff	256	(-.f64 x (+.f64 #s(literal 1 binary64) x))
	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	384	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(-.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (-.f64 x #s(literal 1 binary64)) x)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	64	(+.f64 x (pow.f64 x #s(literal 2 binary64)))
✓	cost-diff	64	(/.f64 #s(literal -1 binary64) (+.f64 x (pow.f64 x #s(literal 2 binary64))))

Rules

691×	`sub-neg`
595×	`div-sub`
593×	`distribute-lft-neg-in`
367×	`associate-/r*`
330×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	185
1	48	178
2	88	178
3	205	178
4	526	178
5	2001	178
6	6517	178

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(/.f64 #s(literal -1 binary64) (+.f64 x (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x x x))
#s(literal -1 binary64)
(+.f64 x (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x x)
x
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(/.f64 (+.f64 x #s(literal -1 binary64)) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) x)
x
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (+.f64 x (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x x x))
(-.f64 x (+.f64 #s(literal 1 binary64) x))
#s(literal -1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x (+.f64 #s(literal 1 binary64) x))
(+.f64 x (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x x)

localize160.0ms (3.6%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x (+.f64 #s(literal 1 binary64) x))
✓	accuracy	99.2%	(/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
✓	accuracy	48.2%	(-.f64 x (+.f64 #s(literal 1 binary64) x))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(-.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (-.f64 x #s(literal 1 binary64)) x)
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 x (pow.f64 x #s(literal 2 binary64)))
✓	accuracy	99.2%	(/.f64 #s(literal -1 binary64) (+.f64 x (pow.f64 x #s(literal 2 binary64))))

Results

84.0ms	149×	2	valid
25.0ms	73×	1	valid
22.0ms	34×	3	valid

Compiler

Compiled 73 to 17 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-div: 21.0ms (29.4% of total)

backward-pass: 18.0ms (25.2% of total)

ival-sub: 11.0ms (15.4% of total)

ival-pow: 9.0ms (12.6% of total)

ival-add: 6.0ms (8.4% of total)

ival-mult: 5.0ms (7% of total)

const: 1.0ms (1.4% of total)

series11.0ms (0.2%)

Counts

11 → 96

Calls

Call 1

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

Outputs
#<alt (/.f64 #s(literal -1 binary64) x)>
#<alt (/.f64 (-.f64 x #s(literal 1 binary64)) x)>
#<alt (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) x)>
#<alt (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) x)>
#<alt (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) x))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal -1 binary64) x)>
#<alt #s(literal 1 binary64)>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt #s(literal 1 binary64)>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt #s(literal -1 binary64)>
#<alt x>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal -1 binary64)>
#<alt #s(literal -1 binary64)>
#<alt #s(literal -1 binary64)>
#<alt #s(literal -1 binary64)>
#<alt #s(literal -1 binary64)>
#<alt #s(literal -1 binary64)>
#<alt #s(literal -1 binary64)>
#<alt #s(literal -1 binary64)>
#<alt #s(literal -1 binary64)>
#<alt #s(literal -1 binary64)>
#<alt #s(literal -1 binary64)>
#<alt #s(literal -1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal -1 binary64) x)>
#<alt (/.f64 (-.f64 x #s(literal 1 binary64)) x)>
#<alt (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) x)>
#<alt (/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) x)>
#<alt (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) x)) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt x>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))>

Calls

33 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(pow x 2)
0.0ms	x	@	0	(/ -1 x)
0.0ms	x	@	-inf	(* x (+ 1 x))
0.0ms	x	@	0	(/ (- x 1) x)
0.0ms	x	@	inf	(+ x (pow x 2))

rewrite198.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1106×	`log1p-expm1-u`
518×	`expm1-log1p-u`
146×	`pow1`
145×	`add-exp-log`
145×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	167
1	369	160
2	5530	160

Stop Event

1×	node limit

Counts

11 → 483

Calls

Call 1

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

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

simplify258.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

670×	`div-sub`
396×	`times-frac`
267×	`associate-/l*`
246×	`associate-r`
243×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	765	16759
1	1731	13548
2	6835	13518

Stop Event

1×	node limit

Counts

579 → 500

Calls

Call 1

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

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

eval72.0ms (1.6%)

Compiler: Compiled 8026 to 1443 computations (82% saved)

prune123.0ms (2.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	597	5	602
Fresh	3	2	5
Picked	3	2	5
Done	1	0	1
Total	604	9	613

Accuracy

100.0%

Counts

613 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	45.3%	(/.f64 (-.f64 x #s(literal 1 binary64)) x)
▶	3.5%	(/.f64 #s(literal 1 binary64) x)
	99.3%	(/.f64 #s(literal -1 binary64) (+.f64 x (*.f64 x x)))
✓	46.3%	(/.f64 #s(literal -1 binary64) x)
▶	45.3%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
▶	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))
	56.1%	(neg.f64 (pow.f64 x #s(literal -2 binary64)))
▶	3.1%	#s(literal 1 binary64)
▶	25.2%	#s(literal 0 binary64)

Compiler

Compiled 84 to 61 computations (27.4% saved)

simplify40.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	-6144	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))
	cost-diff	0	(/.f64 #s(literal -1 binary64) x)
	cost-diff	0	(+.f64 x #s(literal 1 binary64))
	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))

Rules

181×	`fma-define`
94×	`fma-neg`
35×	`sub-neg`
26×	`associate-r`
26×	`unsub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	121
1	27	115
2	42	115
3	91	115
4	163	114
5	242	114
6	369	114
7	495	114
8	599	114
9	705	114
10	831	114
11	841	114
12	847	114
13	848	114

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
x
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
x

Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (fma.f64 x x x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
x

localize43.0ms (1%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
	accuracy	100.0%	(/.f64 #s(literal -1 binary64) x)
	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))

Results

29.0ms

256×

valid

Compiler

Compiled 42 to 11 computations (73.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 6.0ms (53.2% of total)

ival-add: 2.0ms (17.7% of total)

ival-mult: 2.0ms (17.7% of total)

ival-sub: 1.0ms (8.9% of total)

const: 1.0ms (8.9% of total)

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

series2.0ms (0%)

Counts

2 → 18

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite89.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

812×	`log1p-expm1-u`
812×	`expm1-log1p-u`
407×	`log-prod`
348×	`prod-diff`
182×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	192	41
2	2794	41

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

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

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

simplify102.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

674×	`fma-neg`
662×	`div-sub`
363×	`associate-/r*`
324×	`times-frac`
305×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	241	3119
1	526	2960
2	1342	2868
3	5311	2852

Stop Event

1×	node limit

Counts

109 → 147

Calls

Call 1

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

Outputs
(/.f64 #s(literal -1 binary64) x)
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(/.f64 (+.f64 x #s(literal -1 binary64)) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) x)
(/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)) x)
(/.f64 (fma.f64 x (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(+.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))
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eval48.0ms (1.1%)

Compiler: Compiled 4843 to 985 computations (79.7% saved)

prune59.0ms (1.3%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	402	1	403
Fresh	0	2	2
Picked	0	5	5
Done	0	2	2
Total	402	10	412

Accuracy

100.0%

Counts

412 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) x)
✓	45.3%	(/.f64 (-.f64 x #s(literal 1 binary64)) x)
✓	3.5%	(/.f64 #s(literal 1 binary64) x)
▶	99.3%	(/.f64 #s(literal -1 binary64) (+.f64 x (*.f64 x x)))
✓	46.3%	(/.f64 #s(literal -1 binary64) x)
✓	45.3%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))
▶	56.1%	(neg.f64 (pow.f64 x #s(literal -2 binary64)))
✓	3.1%	#s(literal 1 binary64)
✓	25.2%	#s(literal 0 binary64)

Compiler

Compiled 55 to 40 computations (27.3% saved)

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

11×	`fma-define`
5×	`associate-/r*`
4×	`+-commutative`
3×	`1-exp`
3×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	148
1	30	145
2	42	145
3	48	145
4	67	145
5	73	145
6	78	145

Stop Event

1×

saturated

Calls

Call 1

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

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

localize57.0ms (1.3%)

Localize:

Found 8 expressions of interest:

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

Results

37.0ms

256×

valid

Compiler

Compiled 46 to 13 computations (71.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 9.0ms (41.2% of total)

ival-pow: 6.0ms (27.5% of total)

ival-add: 3.0ms (13.7% of total)

ival-mult: 2.0ms (9.2% of total)

const: 1.0ms (4.6% of total)

ival-neg: 1.0ms (4.6% of total)

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

series7.0ms (0.2%)

Counts

7 → 84

Calls

Call 1

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

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

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ -1 (+ x (* x x)))
0.0ms	x	@	-inf	(/ -1 (+ 1 x))
0.0ms	x	@	inf	(/ -1 (+ 1 x))
0.0ms	x	@	inf	(/ (/ -1 (+ 1 x)) x)
0.0ms	x	@	0	(neg (pow x -2))

rewrite134.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1011×	`log1p-expm1-u`
876×	`prod-diff`
671×	`expm1-log1p-u`
104×	`add-exp-log`
103×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	123
1	239	112
2	3522	112

Stop Event

1×	node limit

Counts

7 → 243

Calls

Call 1

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

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

simplify171.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

511×	`associate-/l*`
450×	`fma-define`
277×	`associate-*r/`
250×	`distribute-lft-in`
225×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	396	8918
1	861	8710
2	2364	7492
3	7668	7492

Stop Event

1×	node limit

Counts

327 → 264

Calls

Call 1

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

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

eval115.0ms (2.6%)

Compiler: Compiled 3486 to 787 computations (77.4% saved)

prune37.0ms (0.8%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	302	0	302
Fresh	0	0	0
Picked	0	3	3
Done	0	7	7
Total	302	10	312

Accuracy

100.0%

Counts

312 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) x)
✓	45.3%	(/.f64 (-.f64 x #s(literal 1 binary64)) x)
✓	3.5%	(/.f64 #s(literal 1 binary64) x)
✓	99.3%	(/.f64 #s(literal -1 binary64) (+.f64 x (*.f64 x x)))
✓	46.3%	(/.f64 #s(literal -1 binary64) x)
✓	45.3%	(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))
✓	56.1%	(neg.f64 (pow.f64 x #s(literal -2 binary64)))
✓	3.1%	#s(literal 1 binary64)
✓	25.2%	#s(literal 0 binary64)

Compiler

Compiled 164 to 78 computations (52.4% saved)

regimes12.0ms (0.3%)

Counts

17 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (+.f64 x (*.f64 x x)))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) x)
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (+.f64 x (pow.f64 x #s(literal 2 binary64))))

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

Calls

2 calls:

5.0ms	(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
5.0ms	x

Results

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes4.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (+.f64 x (*.f64 x x)))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))

Outputs
#s(literal 0 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
#s(literal 0 binary64)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
68.4%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 x #s(literal 1 binary64)) x)

Outputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 0 binary64)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
68.0%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) x)

Outputs
#s(literal 0 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal 0 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
67.7%	3	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -14.7b remaining (-30.7%)

Threshold costs -14.7b (-30.7%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)

Outputs
#s(literal 0 binary64)

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
25.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch33.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	2.5434344593974723e+48	4.1537071806038416e+61
7.0ms	-2.485628161334111	-0.7080627503134386

Results

17.0ms	160×	1	valid
4.0ms	80×	0	valid

Compiler

Compiled 194 to 144 computations (25.8% saved)

Precisions

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

ival-div: 6.0ms (46.8% of total)

ival-add: 3.0ms (23.4% of total)

ival-sub: 2.0ms (15.6% of total)

backward-pass: 2.0ms (15.6% of total)

const: 0.0ms (0% of total)

bsearch22.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.19330960554759746	3019141443.6795335
6.0ms	-2.485628161334111	-0.7080627503134386

Results

13.0ms

240×

valid

Compiler

Compiled 164 to 129 computations (21.3% saved)

Precisions

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

ival-div: 4.0ms (61% of total)

ival-sub: 1.0ms (15.2% of total)

ival-add: 1.0ms (15.2% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.838480830498764e+100	1.1948351572648038e+104
6.0ms	-2.485628161334111	-0.7080627503134386

Results

13.0ms	128×	1	valid
4.0ms	80×	0	valid

Compiler

Compiled 118 to 100 computations (15.3% saved)

Precisions

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

ival-div: 5.0ms (48.8% of total)

ival-add: 2.0ms (19.5% of total)

ival-sub: 2.0ms (19.5% of total)

backward-pass: 1.0ms (9.8% of total)

const: 0.0ms (0% of total)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative`
6×	`sub-neg`
6×	`if-if-or-not`
3×	`1-exp`
3×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	183
1	57	183
2	67	183
3	73	183
4	80	183

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) x)
(/.f64 #s(literal -1 binary64) (+.f64 x (*.f64 x x)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal 0 binary64) (if (<=.f64 x #s(literal 38999999999999998739722122938866676340725140154270561041645568 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal 0 binary64) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal 0 binary64) (if (<=.f64 x #s(literal 4500000000000000207549832449720666175124697331421700090370076134636293935103540159089361458000161669120 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
#s(literal 0 binary64)

Outputs
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) x)
(/.f64 #s(literal -1 binary64) (+.f64 x (*.f64 x x)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal 0 binary64) (if (<=.f64 x #s(literal 38999999999999998739722122938866676340725140154270561041645568 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal 0 binary64) (if (<=.f64 x #s(literal 38999999999999998739722122938866676340725140154270561041645568 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal 0 binary64) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal 0 binary64) (if (<=.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal 0 binary64) (if (<=.f64 x #s(literal 4500000000000000207549832449720666175124697331421700090370076134636293935103540159089361458000161669120 binary64)) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)))
#s(literal 0 binary64)

soundness682.0ms (15.3%)

Rules

1106×	`log1p-expm1-u`
817×	`fma-neg`
812×	`log1p-expm1-u`
812×	`expm1-log1p-u`
777×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	192	41
2	2794	41
0	10	67
1	148	67
2	2293	67
0	512	9691
1	1190	9275
2	3735	8168
0	20	167
1	369	160
2	5530	160

Stop Event

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

Compiler

Compiled 661 to 211 computations (68.1% saved)

preprocess40.0ms (0.9%)

Compiler: Compiled 142 to 64 computations (54.9% saved)

Iter	Nodes	Cost
0	17	144
1	34	128
2	70	124
3	138	124
4	236	124
5	334	124
6	411	124
7	456	124
8	473	124
9	475	124

Iter	Nodes	Cost
0	10	72
1	19	72
2	27	72
3	38	72
4	51	72
5	73	72
6	121	72
7	176	72
8	250	72
9	317	72
10	349	72
11	351	72

Iter	Nodes	Cost
0	14	121
1	27	115
2	42	115
3	91	115
4	163	114
5	242	114
6	369	114
7	495	114
8	599	114
9	705	114
10	831	114
11	841	114
12	847	114
13	848	114

Iter	Nodes	Cost
0	17	144
1	34	128
2	70	124
3	138	124
4	236	124
5	334	124
6	411	124
7	456	124
8	473	124
9	475	124

Iter	Nodes	Cost
0	10	72
1	19	72
2	27	72
3	38	72
4	51	72
5	73	72
6	121	72
7	176	72
8	250	72
9	317	72
10	349	72
11	351	72

Iter	Nodes	Cost
0	14	121
1	27	115
2	42	115
3	91	115
4	163	114
5	242	114
6	369	114
7	495	114
8	599	114
9	705	114
10	831	114
11	841	114
12	847	114
13	848	114

analyze4.0ms (0.1%)

sample1000.0ms (22.5%)

preprocess86.0ms (1.9%)

explain108.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.4%)

localize42.0ms (0.9%)

series5.0ms (0.1%)

rewrite246.0ms (5.5%)

simplify195.0ms (4.4%)

eval43.0ms (1%)

prune49.0ms (1.1%)

simplify74.0ms (1.7%)

localize160.0ms (3.6%)

series11.0ms (0.2%)

rewrite198.0ms (4.4%)

simplify258.0ms (5.8%)

eval72.0ms (1.6%)

prune123.0ms (2.8%)

simplify40.0ms (0.9%)

localize43.0ms (1%)

series2.0ms (0%)

rewrite89.0ms (2%)

simplify102.0ms (2.3%)

eval48.0ms (1.1%)

prune59.0ms (1.3%)

simplify12.0ms (0.3%)

localize57.0ms (1.3%)

series7.0ms (0.2%)

rewrite134.0ms (3%)

simplify171.0ms (3.8%)

eval115.0ms (2.6%)

prune37.0ms (0.8%)

regimes12.0ms (0.3%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

bsearch33.0ms (0.7%)

bsearch22.0ms (0.5%)

bsearch28.0ms (0.6%)

simplify6.0ms (0.1%)

soundness682.0ms (15.3%)

preprocess40.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	17	144
1	34	128
2	70	124
3	138	124
4	236	124
5	334	124
6	411	124
7	456	124
8	473	124
9	475	124

Iter	Nodes	Cost
0	10	72
1	19	72
2	27	72
3	38	72
4	51	72
5	73	72
6	121	72
7	176	72
8	250	72
9	317	72
10	349	72
11	351	72

Iter	Nodes	Cost
0	14	121
1	27	115
2	42	115
3	91	115
4	163	114
5	242	114
6	369	114
7	495	114
8	599	114
9	705	114
10	831	114
11	841	114
12	847	114
13	848	114