Details

analyze3.0ms (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
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	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 10 to 5 computations (50% saved)

sample971.0ms (42.8%)

Results

959.0ms

8256×

body

256

valid

Bogosity

preprocess4.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

6×	`*-commutative`
4×	`count-2`
2×	`associate-r`
2×	`fma-def`
2×	`hypot-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	14	7
2	18	7
3	19	7
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Outputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(hypot.f64 x x)

Compiler

Compiled 10 to 5 computations (50% saved)

simplify35.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
4×	`count-2`
2×	`associate-r`
2×	`fma-def`
2×	`hypot-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	14	7
2	18	7
3	19	7

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Outputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(hypot.f64 x x)

eval0.0ms (0%)

Compiler: Compiled 12 to 5 computations (58.3% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.02%

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.03%	(hypot.f64 x x)
▶	48.51%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Compiler

Compiled 13 to 6 computations (53.8% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (.f64 x x) (.f64 x x))
✓	46.72%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Compiler

Compiled 20 to 4 computations (80% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
0.0ms	x	@	inf	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
0.0ms	x	@	inf	(+.f64 (.f64 x x) (.f64 x x))
0.0ms	x	@	0	(+.f64 (.f64 x x) (.f64 x x))
0.0ms	x	@	-inf	(+.f64 (.f64 x x) (.f64 x x))

rewrite112.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1228×	`add-sqr-sqrt`
1208×	`*-un-lft-identity`
1132×	`add-cube-cbrt`
1124×	`add-cbrt-cube`
1118×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	149	14
2	2014	14

Stop Event

1×	node limit

Counts

2 → 124

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(+.f64 (.f64 x x) (.f64 x x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) (/.f64 0 0)) (.f64 (.f64 x x) (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 0 0) (.f64 x x)) (.f64 (/.f64 0 0) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 0 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 4) 0) (/.f64 (pow.f64 x 4) 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (+.f64 x x) (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) (.f64 (+.f64 x x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 0 0) (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 0 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (.f64 x x) (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 0 (/.f64 1 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 0 0) x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 0 0) 2) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 2 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) 0) (.f64 2 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 0) (sqrt.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 2 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (.f64 2 (pow.f64 x 6))) (cbrt.f64 (+.f64 (pow.f64 x 4) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (pow.f64 x 6)) (.f64 2 (pow.f64 x 6))) (.f64 (+.f64 (pow.f64 x 4) 0) (+.f64 (pow.f64 x 4) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 0 0) (.f64 2 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 0 (/.f64 0 0)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (pow.f64 x 6)) (/.f64 0 0)) (+.f64 (pow.f64 x 4) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 0 (.f64 2 (pow.f64 x 6))) (.f64 0 (+.f64 (pow.f64 x 4) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (pow.f64 x 6)) 0) (.f64 (+.f64 (pow.f64 x 4) 0) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x x) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 0 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 4) 0) (/.f64 (pow.f64 x 4) 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 (+.f64 x x) (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) (.f64 (+.f64 x x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 0 0) (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 0 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (.f64 x x) (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 0 (/.f64 1 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 0 0) x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 0 0) 2) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 2 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) 0) (.f64 2 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 0) (sqrt.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 2 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (.f64 2 (pow.f64 x 6))) (cbrt.f64 (+.f64 (pow.f64 x 4) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (pow.f64 x 6)) (.f64 2 (pow.f64 x 6))) (.f64 (+.f64 (pow.f64 x 4) 0) (+.f64 (pow.f64 x 4) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 0 0) (.f64 2 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 0 (/.f64 0 0)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (pow.f64 x 6)) (/.f64 0 0)) (+.f64 (pow.f64 x 4) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 0 (.f64 2 (pow.f64 x 6))) (.f64 0 (+.f64 (pow.f64 x 4) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (pow.f64 x 6)) 0) (.f64 (+.f64 (pow.f64 x 4) 0) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x x) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x x))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) (/.f64 0 0)) (*.f64 (*.f64 x x) (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 0 0) (*.f64 x x)) (*.f64 (/.f64 0 0) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 0 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 4) 0) (/.f64 (pow.f64 x 4) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (+.f64 x x) (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 (+.f64 x x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 0) (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 x x) (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 0 (/.f64 1 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 0 0) x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 0 0) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) 0) (*.f64 2 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 0) (sqrt.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 6))) (cbrt.f64 (+.f64 (pow.f64 x 4) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 6))) (*.f64 (+.f64 (pow.f64 x 4) 0) (+.f64 (pow.f64 x 4) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 0 0) (*.f64 2 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 (/.f64 0 0)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 x 6)) (/.f64 0 0)) (+.f64 (pow.f64 x 4) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 (*.f64 2 (pow.f64 x 6))) (*.f64 0 (+.f64 (pow.f64 x 4) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 x 6)) 0) (*.f64 (+.f64 (pow.f64 x 4) 0) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x x))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 0 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 4) 0) (/.f64 (pow.f64 x 4) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (+.f64 x x) (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 (+.f64 x x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 0) (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 0 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 (+.f64 x x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 x x) (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 0 (/.f64 1 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 4) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 0 0) x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 0 0) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) 0) (*.f64 2 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 0) (sqrt.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 6))) (cbrt.f64 (+.f64 (pow.f64 x 4) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 x 6)) (*.f64 2 (pow.f64 x 6))) (*.f64 (+.f64 (pow.f64 x 4) 0) (+.f64 (pow.f64 x 4) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 0 0) (*.f64 2 (pow.f64 x 6))) (+.f64 (pow.f64 x 4) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 (/.f64 0 0)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 x 6)) (/.f64 0 0)) (+.f64 (pow.f64 x 4) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 (*.f64 2 (pow.f64 x 6))) (*.f64 0 (+.f64 (pow.f64 x 4) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 x 6)) 0) (*.f64 (+.f64 (pow.f64 x 4) 0) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (pow.f64 x 6))) (neg.f64 (+.f64 (pow.f64 x 4) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 0 0) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 0 0))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 0 0)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 x x))))))

simplify27.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

74×	`*-commutative`
28×	`sqr-pow`
24×	`associate-r`
20×	`associate-l`
18×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	1688
1	393	1688

Stop Event

1×

unsound

Counts

148 → 81

Calls

Call 1

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

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

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.03%	(hypot.f64 x x)

Compiler

Compiled 5 to 2 computations (60% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(hypot.f64 x x)
0.0ms	x	@	0	(hypot.f64 x x)
0.0ms	x	@	inf	(hypot.f64 x x)

rewrite66.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`associate-r`
744×	`add-sqr-sqrt`
738×	`*-un-lft-identity`
696×	`pow1`
682×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	80	7
2	916	7

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(hypot.f64 x x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x)))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))) (.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (sqrt.f64 (hypot.f64 x x)))) (sqrt.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (hypot.f64 x x)) (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (hypot.f64 x x))) (.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (+.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (*.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (*.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))) (*.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (sqrt.f64 (hypot.f64 x x)))) (sqrt.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (hypot.f64 x x)) (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (hypot.f64 x x))) (*.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (+.f64 x x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x x)))))))

simplify60.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1144×	`distribute-lft-in`
1118×	`associate-r`
1046×	`distribute-rgt-in`
928×	`associate-l`
836×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	1038
1	194	864
2	596	854
3	3338	854
4	7923	854

Stop Event

1×	node limit

Counts

48 → 50

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(-.f64 (+.f64 (hypot.f64 x x) 1) 1)
(*.f64 (hypot.f64 x x) 1)
(*.f64 1 (hypot.f64 x x))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (hypot.f64 x x))))
(.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x))))
(.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(.f64 (cbrt.f64 (.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (hypot.f64 x x))))
(.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(.f64 (.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))) (*.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (sqrt.f64 (hypot.f64 x x)))) (sqrt.f64 (sqrt.f64 (hypot.f64 x x))))
(.f64 (.f64 (sqrt.f64 (hypot.f64 x x)) (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(.f64 (.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(.f64 (.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (hypot.f64 x x))) (*.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (hypot.f64 x x))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))))
(pow.f64 (hypot.f64 x x) 1)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(pow.f64 (*.f64 x (+.f64 x x)) 1/2)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(exp.f64 (log.f64 (hypot.f64 x x)))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))

Outputs
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(*.f64 (sqrt.f64 2) x)
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(-.f64 (+.f64 (hypot.f64 x x) 1) 1)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(*.f64 (hypot.f64 x x) 1)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(*.f64 1 (hypot.f64 x x))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x))))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (hypot.f64 x x))))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (hypot.f64 x x))))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))))
(.f64 (cbrt.f64 (.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (hypot.f64 x x))))
(.f64 (cbrt.f64 (.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x)))) (*.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))
(.f64 (cbrt.f64 (hypot.f64 x x)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4))))
(.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))))
(.f64 (.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))) (*.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (sqrt.f64 (hypot.f64 x x)))) (sqrt.f64 (sqrt.f64 (hypot.f64 x x))))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (.f64 (sqrt.f64 (hypot.f64 x x)) (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(.f64 (sqrt.f64 (hypot.f64 x x)) (.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 5/2))
(.f64 (.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (.f64 (cbrt.f64 (hypot.f64 x x)) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (*.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x))))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(.f64 (cbrt.f64 (.f64 (hypot.f64 x x) (cbrt.f64 (hypot.f64 x x)))) (*.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))
(.f64 (cbrt.f64 (hypot.f64 x x)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (.f64 (cbrt.f64 (hypot.f64 x x)) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 4))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (sqrt.f64 (cbrt.f64 (hypot.f64 x x)))) (sqrt.f64 (cbrt.f64 (hypot.f64 x x))))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x))))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (hypot.f64 x x))) (*.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 x x))) (cbrt.f64 (hypot.f64 x x))))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))))
(.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 x x))) (cbrt.f64 (sqrt.f64 (hypot.f64 x x)))))
(pow.f64 (hypot.f64 x x) 1)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(pow.f64 (sqrt.f64 (hypot.f64 x x)) 2)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(pow.f64 (pow.f64 (hypot.f64 x x) 3) 1/3)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(pow.f64 (*.f64 x (+.f64 x x)) 1/2)
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(sqrt.f64 (*.f64 x (+.f64 x x)))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(log.f64 (exp.f64 (hypot.f64 x x)))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(+.f64 (hypot.f64 x x) 0)
(hypot.f64 x x)

eval59.0ms (2.6%)

Compiler: Compiled 1326 to 675 computations (49.1% saved)

prune19.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	126	5	131
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	127	6	133

Error

0.01%

Counts

133 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.09%	(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
✓	0.03%	(hypot.f64 x x)
▶	94.9%	(.f64 (.f64 x x) 2)
▶	48.78%	(*.f64 (sqrt.f64 2) (neg.f64 x))
▶	48.51%	(sqrt.f64 (*.f64 x (+.f64 x x)))
	98.33%	-1

Compiler

Compiled 32 to 22 computations (31.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	46.72%	(sqrt.f64 (*.f64 x (+.f64 x x)))

Compiler

Compiled 16 to 4 computations (75% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(sqrt.f64 (*.f64 x (+.f64 x x)))
0.0ms	x	@	inf	(sqrt.f64 (*.f64 x (+.f64 x x)))
0.0ms	x	@	-inf	(sqrt.f64 (*.f64 x (+.f64 x x)))

rewrite87.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1076×	`add-sqr-sqrt`
1058×	`*-un-lft-identity`
1002×	`pow1`
994×	`add-cube-cbrt`
982×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	147	7
2	2035	7

Stop Event

1×	node limit

Counts

1 → 77

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 x (+.f64 x x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1) (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) 0) (/.f64 (*.f64 x x) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 (cbrt.f64 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 0 (/.f64 1 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 3) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x x) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 0 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 x 3)) (fma.f64 x x 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3))) (sqrt.f64 (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 0) (sqrt.f64 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3))) (cbrt.f64 (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (*.f64 2 (pow.f64 x 3))) (*.f64 (fma.f64 x x 0) (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x x) (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 2 (pow.f64 x 3))) (fma.f64 x x 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 (+.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) (+.f64 x x)) (fma.f64 x x 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) x) (fma.f64 x x 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 x x) 3)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 (*.f64 2 (pow.f64 x 3))) (*.f64 0 (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 x 3)) 0) (*.f64 (fma.f64 x x 0) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (pow.f64 x 3))) (neg.f64 (fma.f64 x x 0)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x x)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) x)))))

simplify24.0ms (1%)

Algorithm

1×	egg-herbie

Rules

74×	`*-commutative`
32×	`distribute-lft-in`
24×	`associate-l`
22×	`associate-/l*`
22×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	401
1	458	401

Stop Event

1×

unsound

Counts

89 → 89

Calls

Call 1

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

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

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7%	(*.f64 (sqrt.f64 2) (neg.f64 x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (sqrt.f64 2) (neg.f64 x))
0.0ms	x	@	inf	(*.f64 (sqrt.f64 2) (neg.f64 x))
0.0ms	x	@	-inf	(*.f64 (sqrt.f64 2) (neg.f64 x))

rewrite61.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1266×	`add-sqr-sqrt`
1248×	`*-un-lft-identity`
1162×	`add-cube-cbrt`
1148×	`add-cbrt-cube`
1134×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	162	11
2	1917	11

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) (neg.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 2) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 2) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) x)))))))

simplify72.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1082×	`*-commutative`
878×	`log-prod`
650×	`distribute-lft-in`
648×	`distribute-rgt-in`
646×	`distribute-lft-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	463
1	90	397
2	331	331
3	1789	331
4	4954	331
5	7952	331

Stop Event

1×	node limit

Counts

25 → 19

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(.f64 -1 (.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(-.f64 0 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 2) x)) 1)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (*.f64 (sqrt.f64 2) x) 1)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 2) x)) 2)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 2) x)) 3)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(neg.f64 (*.f64 (sqrt.f64 2) x))
(*.f64 (sqrt.f64 2) (neg.f64 x))
(*.f64 x (neg.f64 (sqrt.f64 2)))
(sqrt.f64 (.f64 2 (.f64 x x)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) x))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 2) x) 3))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 2) x)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(exp.f64 (log.f64 (*.f64 (sqrt.f64 2) x)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 2) x)))
(+.f64 1 (-.f64 (*.f64 (sqrt.f64 2) x) 1))
(+.f64 (*.f64 (sqrt.f64 2) x) 0)
(*.f64 (sqrt.f64 2) x)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 (.f64 x x) 2)

Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(.f64 (.f64 x x) 2)
0.0ms	x	@	0	(.f64 (.f64 x x) 2)
0.0ms	x	@	-inf	(.f64 (.f64 x x) 2)

rewrite50.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1054×	`add-sqr-sqrt`
1040×	`*-un-lft-identity`
988×	`pow1`
964×	`add-cube-cbrt`
956×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	121	13
2	1385	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 (.f64 x x) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 2))))))))

simplify42.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1414×	`distribute-lft-in`
1366×	`distribute-rgt-in`
1312×	`log-prod`
904×	`associate-r`
832×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	299
1	90	299
2	356	299
3	2123	299

Stop Event

1×	node limit

Counts

23 → 13

Calls

Call 1

Inputs
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(*.f64 2 (pow.f64 x 2))
(-.f64 (+.f64 1 (.f64 x (.f64 x 2))) 1)
(pow.f64 (.f64 x (.f64 x 2)) 1)
(pow.f64 (*.f64 x (sqrt.f64 2)) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 2))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x 2)) 3) 1/3)
(sqrt.f64 (*.f64 4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 2)))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 2)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 2))))
(exp.f64 (log.f64 (.f64 x (.f64 x 2))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 2))))

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

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.03%	(hypot.f64 x x)
✓	0.9%	(cbrt.f64 (hypot.f64 x x))
✓	1.13%	(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)

Compiler

Compiled 16 to 6 computations (62.5% saved)

series3.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
0.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
0.0ms	x	@	inf	(cbrt.f64 (hypot.f64 x x))
0.0ms	x	@	-inf	(cbrt.f64 (hypot.f64 x x))

rewrite56.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1260×	`add-sqr-sqrt`
1232×	`*-un-lft-identity`
1162×	`add-cube-cbrt`
1150×	`add-cbrt-cube`
1136×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	165	18
2	1652	18

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
(cbrt.f64 (hypot.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (hypot.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x x) 1/6) (*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1) (cbrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (pow.f64 (hypot.f64 x x) 1/6)) (pow.f64 (hypot.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 3) (pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2) 3) (cbrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 x x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 x x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (hypot.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (hypot.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/3) (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 x x) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (hypot.f64 x x))))))))

simplify53.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

866×	`unswap-sqr`
840×	`distribute-lft-in`
838×	`fma-def`
828×	`distribute-rgt-in`
784×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	848
1	165	620
2	609	392
3	2169	380

Stop Event

1×	node limit

Counts

40 → 47

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (hypot.f64 x x)) 1)
(*.f64 (cbrt.f64 (hypot.f64 x x)) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(*.f64 (hypot.f64 x x) 1)
(*.f64 1 (hypot.f64 x x))
(*.f64 (sqrt.f64 (hypot.f64 x x)) (sqrt.f64 (hypot.f64 x x)))
(.f64 (pow.f64 (hypot.f64 x x) 1/6) (.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (cbrt.f64 (hypot.f64 x x)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1) (cbrt.f64 (hypot.f64 x x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (pow.f64 (hypot.f64 x x) 1/6)) (pow.f64 (hypot.f64 x x) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2)) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 3) (pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2) 3) (cbrt.f64 (hypot.f64 x x)))
(sqrt.f64 (pow.f64 (hypot.f64 x x) 2))
(log.f64 (exp.f64 (hypot.f64 x x)))
(cbrt.f64 (pow.f64 (hypot.f64 x x) 3))
(expm1.f64 (log1p.f64 (hypot.f64 x x)))
(hypot.f64 x x)
(exp.f64 (log.f64 (hypot.f64 x x)))
(log1p.f64 (expm1.f64 (hypot.f64 x x)))
(-.f64 (+.f64 1 (cbrt.f64 (hypot.f64 x x))) 1)
(*.f64 (cbrt.f64 (hypot.f64 x x)) 1)
(*.f64 1 (cbrt.f64 (hypot.f64 x x)))
(*.f64 (pow.f64 (hypot.f64 x x) 1/6) (pow.f64 (hypot.f64 x x) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 2) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2) 1/3) (cbrt.f64 (cbrt.f64 (hypot.f64 x x))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (hypot.f64 x x)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/3) (pow.f64 (sqrt.f64 (hypot.f64 x x)) 1/3))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 1)
(pow.f64 (hypot.f64 x x) 1/3)
(pow.f64 (pow.f64 (hypot.f64 x x) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 x x))) 3)
(pow.f64 (pow.f64 (hypot.f64 x x) 2) 1/6)
(sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x x)) 2))
(log.f64 (exp.f64 (cbrt.f64 (hypot.f64 x x))))
(expm1.f64 (log1p.f64 (cbrt.f64 (hypot.f64 x x))))
(exp.f64 (log.f64 (cbrt.f64 (hypot.f64 x x))))
(log1p.f64 (expm1.f64 (cbrt.f64 (hypot.f64 x x))))

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

eval47.0ms (2.1%)

Compiler: Compiled 2149 to 1027 computations (52.2% saved)

prune30.0ms (1.3%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	214	4	218
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	214	10	224

Error

0.01%

Counts

224 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	2.09%	(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
✓	0.03%	(hypot.f64 x x)
▶	97.29%	(/.f64 1 (+.f64 x x))
▶	88.87%	(+.f64 x x)
▶	93.94%	(+.f64 -2 x)
✓	94.9%	(.f64 (.f64 x x) 2)
✓	48.78%	(*.f64 (sqrt.f64 2) (neg.f64 x))
▶	94.9%	(.f64 4 (.f64 x x))
✓	48.51%	(sqrt.f64 (*.f64 x (+.f64 x x)))
	98.33%	-1

Compiler

Compiled 52 to 35 computations (32.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(.f64 4 (.f64 x x))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 4 (.f64 x x))
0.0ms	x	@	inf	(.f64 4 (.f64 x x))
0.0ms	x	@	-inf	(.f64 4 (.f64 x x))

rewrite128.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1052×	`add-sqr-sqrt`
1038×	`*-un-lft-identity`
986×	`pow1`
968×	`add-cube-cbrt`
960×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1389	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 4 (.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 4 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 4 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 4 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 4 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 4 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (*.f64 x x))))))))

simplify40.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1554×	`distribute-rgt-in`
1526×	`distribute-lft-in`
1288×	`log-prod`
850×	`associate-r`
768×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	299
1	91	299
2	343	299
3	2105	299

Stop Event

1×	node limit

Counts

23 → 14

Calls

Call 1

Inputs
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(*.f64 4 (pow.f64 x 2))
(-.f64 (+.f64 1 (.f64 4 (.f64 x x))) 1)
(pow.f64 (.f64 4 (.f64 x x)) 1)
(pow.f64 (*.f64 x 2) 2)
(pow.f64 (cbrt.f64 (.f64 4 (.f64 x x))) 3)
(pow.f64 (pow.f64 (.f64 4 (.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 16 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))
(cbrt.f64 (pow.f64 (.f64 4 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 4 (.f64 x x))))
(exp.f64 (log.f64 (.f64 4 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 4 (.f64 x x))))

Outputs
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(*.f64 4 (pow.f64 x 2))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(-.f64 (+.f64 1 (.f64 4 (.f64 x x))) 1)
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(pow.f64 (.f64 4 (.f64 x x)) 1)
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(pow.f64 (*.f64 x 2) 2)
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(pow.f64 (cbrt.f64 (.f64 4 (.f64 x x))) 3)
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(pow.f64 (pow.f64 (.f64 4 (.f64 x x)) 3) 1/3)
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(sqrt.f64 (*.f64 16 (pow.f64 x 4)))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(log.f64 (pow.f64 (exp.f64 4) (*.f64 x x)))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(cbrt.f64 (pow.f64 (.f64 4 (.f64 x x)) 3))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(expm1.f64 (log1p.f64 (.f64 4 (.f64 x x))))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(exp.f64 (log.f64 (.f64 4 (.f64 x x))))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))
(log1p.f64 (expm1.f64 (.f64 4 (.f64 x x))))
(.f64 4 (.f64 x x))
(.f64 x (.f64 4 x))

localize2.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize2.0ms (0.1%)

Compiler: Compiled 5 to 2 computations (60% saved)

localize4.0ms (0.2%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

eval2.0ms (0.1%)

Compiler: Compiled 96 to 62 computations (35.4% saved)

prune6.0ms (0.3%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	1	1
Picked	0	1	1
Done	0	8	8
Total	14	10	24

Error

0.01%

Counts

24 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	2.09%	(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
✓	0.03%	(hypot.f64 x x)
✓	97.29%	(/.f64 1 (+.f64 x x))
✓	88.87%	(+.f64 x x)
✓	93.94%	(+.f64 -2 x)
✓	94.9%	(.f64 (.f64 x x) 2)
✓	48.78%	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	94.9%	(.f64 4 (.f64 x x))
✓	48.51%	(sqrt.f64 (*.f64 x (+.f64 x x)))
	98.33%	-1

Compiler

Compiled 52 to 35 computations (32.7% saved)

eval0.0ms (0%)

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

prune4.0ms (0.2%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	9	9
Total	10	10

Error

0.01%

Counts

10 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	2.09%	(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)
✓	0.03%	(hypot.f64 x x)
✓	97.29%	(/.f64 1 (+.f64 x x))
✓	88.87%	(+.f64 x x)
✓	93.94%	(+.f64 -2 x)
✓	94.9%	(.f64 (.f64 x x) 2)
✓	48.78%	(*.f64 (sqrt.f64 2) (neg.f64 x))
✓	94.9%	(.f64 4 (.f64 x x))
✓	48.51%	(sqrt.f64 (*.f64 x (+.f64 x x)))
	98.33%	-1

Compiler

Compiled 52 to 35 computations (32.7% saved)

regimes46.0ms (2%)

Counts

11 → 1

Calls

Call 1

Inputs
-1
(+.f64 -2 x)
(+.f64 x x)
(.f64 4 (.f64 x x))
(.f64 (.f64 x x) 2)
(/.f64 1 (+.f64 x x))
(hypot.f64 x x)
(*.f64 (sqrt.f64 2) (neg.f64 x))
(sqrt.f64 (*.f64 x (+.f64 x x)))
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(pow.f64 (cbrt.f64 (hypot.f64 x x)) 3)

Outputs
(hypot.f64 x x)

Calls

4 calls:

30.0ms	(+.f64 (.f64 x x) (.f64 x x))
6.0ms	x
4.0ms	(*.f64 x x)
4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Results

Error	Segments	Branch
0.03%	1	`x`
0.03%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))`
0.03%	1	`(+.f64 (.f64 x x) (.f64 x x))`
0.03%	1	`(*.f64 x x)`

Compiler

Compiled 74 to 34 computations (54.1% saved)

regimes10.0ms (0.4%)

Counts

6 → 1

Calls

Call 1

Inputs
-1
(+.f64 -2 x)
(+.f64 x x)
(.f64 4 (.f64 x x))
(.f64 (.f64 x x) 2)
(/.f64 1 (+.f64 x x))

Outputs
(+.f64 x x)

Calls

2 calls:

4.0ms	x
3.0ms	(*.f64 x x)

Results

Error	Segments	Branch
88.87%	1	`x`
88.87%	1	`(*.f64 x x)`

Compiler

Compiled 29 to 15 computations (48.3% saved)

regimes4.0ms (0.2%)

Accuracy

Total -2.9b remaining (-4.8%)

Threshold costs -2.9b (-4.8%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
(+.f64 -2 x)

Outputs
(+.f64 -2 x)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
93.94%	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify51.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	9	22

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(hypot.f64 x x)
(+.f64 x x)
(+.f64 -2 x)
-1

Outputs
(hypot.f64 x x)
(+.f64 x x)
(+.f64 -2 x)
(+.f64 x -2)
-1

Compiler

Compiled 14 to 9 computations (35.7% saved)

soundness12.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
4×	`count-2`
2×	`associate-r`
2×	`fma-def`
2×	`hypot-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	14	7
2	18	7
3	19	7

Stop Event

1×

saturated

Compiler

Compiled 12 to 5 computations (58.3% saved)

end38.0ms (1.7%)

Compiler: Compiled 11 to 6 computations (45.5% saved)

Details

analyze3.0ms (0.1%)

sample971.0ms (42.8%)

preprocess4.0ms (0.2%)

simplify35.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite112.0ms (4.9%)

simplify27.0ms (1.2%)

localize2.0ms (0.1%)

series2.0ms (0.1%)

rewrite66.0ms (2.9%)

simplify60.0ms (2.6%)

eval59.0ms (2.6%)

prune19.0ms (0.8%)

localize5.0ms (0.2%)

series0.0ms (0%)

rewrite87.0ms (3.8%)

simplify24.0ms (1%)

localize6.0ms (0.3%)

series1.0ms (0%)

rewrite61.0ms (2.7%)

simplify72.0ms (3.2%)

localize4.0ms (0.2%)

series0.0ms (0%)

rewrite50.0ms (2.2%)

simplify42.0ms (1.8%)

localize6.0ms (0.3%)

series3.0ms (0.1%)

rewrite56.0ms (2.5%)

simplify53.0ms (2.3%)

eval47.0ms (2.1%)

prune30.0ms (1.3%)

localize4.0ms (0.2%)

series1.0ms (0%)

rewrite128.0ms (5.6%)

simplify40.0ms (1.8%)

localize2.0ms (0.1%)

localize2.0ms (0.1%)

localize4.0ms (0.2%)

eval2.0ms (0.1%)

prune6.0ms (0.3%)

eval0.0ms (0%)

prune4.0ms (0.2%)

regimes46.0ms (2%)

regimes10.0ms (0.4%)

regimes4.0ms (0.2%)

simplify51.0ms (2.2%)

soundness12.0ms (0.5%)

end38.0ms (1.7%)

Profiling