Details

analyze178.0ms (2.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
0%	0%	50%	50%	0%	0%	0%	2
0%	0%	50%	50%	0%	0%	0%	3
12.5%	6.2%	43.7%	50%	0%	0%	0%	4
25%	12.5%	37.5%	50%	0%	0%	0%	5
37.5%	18.7%	31.2%	50%	0%	0%	0%	6
46.9%	23.4%	26.5%	50%	0%	0%	0%	7
54.7%	27.3%	22.6%	50%	0%	0%	0%	8
60.2%	30%	19.9%	50%	0%	0%	0%	9
64.5%	32.2%	17.8%	50%	0%	0%	0%	10
67.4%	33.7%	16.3%	50%	0%	0%	0%	11
69.6%	34.8%	15.2%	50%	0%	0%	0%	12

Compiler

Compiled 20 to 14 computations (30% saved)

sample1.6s (18.7%)

Results

851.0ms	6419×	body	256	valid
300.0ms	539×	body	4096	valid
273.0ms	648×	body	2048	valid
124.0ms	406×	body	1024	valid
55.0ms	244×	body	512	valid

Bogosity

preprocess39.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

318×	`fma-def_binary64`
176×	`fma-neg_binary64`
82×	`distribute-rgt-in_binary64`
48×	`distribute-lft-in_binary64`
48×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	30
1	33	30
2	51	30
3	88	30
4	135	30
5	185	30
6	305	30
7	479	30
8	689	30
9	840	30
10	1090	30
11	1251	30
12	1283	30
13	1287	30
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(.f64 1/2 (sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
(.f64 1/2 (sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) im))))

Outputs
(.f64 1/2 (sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
(.f64 1/2 (sqrt.f64 (.f64 2 (-.f64 (hypot.f64 re im) re))))
(.f64 1/2 (sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) im))))
(.f64 1/2 (sqrt.f64 (.f64 2 (-.f64 (hypot.f64 re im) im))))

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify31.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

203×	`fma-def_binary64`
142×	`fma-neg_binary64`
49×	`distribute-rgt-in_binary64`
43×	`cancel-sign-sub-inv_binary64`
28×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	15
1	20	15
2	33	15
3	53	15
4	80	15
5	109	15
6	180	15
7	286	15
8	407	15
9	490	15
10	607	15
11	679	15
12	702	15
13	743	15
14	792	15
15	855	15
16	891	15
17	900	15

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 1/2 (sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))

Outputs
(.f64 1/2 (sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
(.f64 1/2 (sqrt.f64 (.f64 2 (-.f64 (hypot.f64 re im) re))))

eval1.0ms (0%)

Compiler: Compiled 27 to 19 computations (29.6% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

13.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (-.f64 (hypot.f64 re im) re))))

Compiler

Compiled 12 to 9 computations (25% saved)

localize18.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (hypot.f64 re im) re)

Compiler

Compiled 39 to 16 computations (59% saved)

series29.0ms (0.3%)

Counts

1 → 0

Calls

6 calls:

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

Compiler

Compiled 2705 to 2180 computations (19.4% saved)

rewrite42.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

622×	`pow1_binary64`
578×	`add-log-exp_binary64`
578×	`log1p-expm1-u_binary64`
578×	`expm1-log1p-u_binary64`
565×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	111	7
2	1544	7

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(-.f64 (hypot.f64 re im) re)

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

Outputs

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

simplify40.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

754×	`div-sub_binary64`
608×	`fma-neg_binary64`
354×	`associate-l_binary64`
333×	`fma-def_binary64`
331×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	93	395
1	250	370
2	862	370
3	4545	370

Stop Event

1×	node limit

Counts

35 → 38

Calls

Call 1

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

Outputs
(+.f64 (hypot.f64 re im) (neg.f64 re))
(-.f64 (hypot.f64 re im) re)
(+.f64 (hypot.f64 re im) (*.f64 (neg.f64 re) 1))
(-.f64 (hypot.f64 re im) re)
(+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 re) 1 re))
(-.f64 (hypot.f64 re im) re)
(+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) 2) re))
(-.f64 (hypot.f64 re im) re)
(+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re))
(-.f64 (hypot.f64 re im) re)
(+.f64 (neg.f64 re) (hypot.f64 re im))
(-.f64 (hypot.f64 re im) re)
(*.f64 (-.f64 (hypot.f64 re im) re) 1)
(-.f64 (hypot.f64 re im) re)
(*.f64 1 (-.f64 (hypot.f64 re im) re))
(-.f64 (hypot.f64 re im) re)
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) 2))
(-.f64 (hypot.f64 re im) re)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) 2) (cbrt.f64 (-.f64 (hypot.f64 re im) re)))
(-.f64 (hypot.f64 re im) re)
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))
(-.f64 (hypot.f64 re im) re)
(.f64 (-.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (+.f64 (pow.f64 (hypot.f64 re im) 2) (.f64 re (+.f64 re (hypot.f64 re im))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (+.f64 re (hypot.f64 re im)))))
(.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (.f64 re re)) (/.f64 1 (+.f64 re (hypot.f64 re im))))
(-.f64 (hypot.f64 re im) re)
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))
(-.f64 (hypot.f64 re im) re)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (+.f64 re (hypot.f64 re im)))) (-.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))))
(.f64 (-.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (+.f64 (pow.f64 (hypot.f64 re im) 2) (.f64 re (+.f64 re (hypot.f64 re im))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (+.f64 re (hypot.f64 re im)))))
(/.f64 1 (/.f64 (+.f64 re (hypot.f64 re im)) (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))))
(-.f64 (hypot.f64 re im) re)
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (+.f64 re (hypot.f64 re im)))))
(.f64 (-.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (+.f64 (pow.f64 (hypot.f64 re im) 2) (.f64 re (+.f64 re (hypot.f64 re im))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (+.f64 re (hypot.f64 re im)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (+.f64 re (hypot.f64 re im)))
(-.f64 (hypot.f64 re im) re)
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3))) (neg.f64 (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (+.f64 re (hypot.f64 re im))))))
(.f64 (-.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (+.f64 (pow.f64 (hypot.f64 re im) 2) (.f64 re (+.f64 re (hypot.f64 re im))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (+.f64 re (hypot.f64 re im)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re))) (neg.f64 (+.f64 re (hypot.f64 re im))))
(-.f64 (hypot.f64 re im) re)
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 (neg.f64 re) 3)) (+.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 (hypot.f64 re im) (neg.f64 re)))))
(.f64 (-.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (/.f64 1 (+.f64 (pow.f64 (hypot.f64 re im) 2) (.f64 re (+.f64 re (hypot.f64 re im))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (+.f64 re (hypot.f64 re im)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 (neg.f64 re) (neg.f64 re))) (-.f64 (hypot.f64 re im) (neg.f64 re)))
(-.f64 (hypot.f64 re im) re)
(pow.f64 (-.f64 (hypot.f64 re im) re) 1)
(-.f64 (hypot.f64 re im) re)
(pow.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) 3) 1/3)
(-.f64 (hypot.f64 re im) re)
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) 3)
(-.f64 (hypot.f64 re im) re)
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) 2)
(-.f64 (hypot.f64 re im) re)
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) 2))
(-.f64 (hypot.f64 re im) re)
(log.f64 (exp.f64 (-.f64 (hypot.f64 re im) re)))
(-.f64 (hypot.f64 re im) re)
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) 3))
(-.f64 (hypot.f64 re im) re)
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 re im) re)))
(-.f64 (hypot.f64 re im) re)
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 re im) re)))
(-.f64 (hypot.f64 re im) re)
(exp.f64 (log.f64 (-.f64 (hypot.f64 re im) re)))
(-.f64 (hypot.f64 re im) re)
(fma.f64 1 (hypot.f64 re im) (neg.f64 re))
(-.f64 (hypot.f64 re im) re)
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re))
(-.f64 (hypot.f64 re im) re)
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re))
(-.f64 (hypot.f64 re im) re)

eval10.0ms (0.1%)

Compiler: Compiled 690 to 362 computations (47.5% saved)

prune7.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	34	4	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	5	39

Error

12.8b

Counts

39 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.2b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)))))
▶	15.7b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re)))))
✓	13.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (-.f64 (hypot.f64 re im) re))))
▶	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)))))
▶	15.7b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) 2) re)))))

Compiler

Compiled 92 to 61 computations (33.7% saved)

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(-.f64 (hypot.f64 re im) re)
✓	0.6b	(pow.f64 (cbrt.f64 re) 2)
✓	0.6b	(cbrt.f64 re)
✓	59.8b	(fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) 2) re)

Compiler

Compiled 102 to 39 computations (61.8% saved)

series66.0ms (0.8%)

Counts

3 → 0

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	re	@	-inf	(fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) 2) re)
1.0ms	re	@	0	(fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) 2) re)
1.0ms	re	@	-inf	(pow.f64 (cbrt.f64 re) 2)
1.0ms	re	@	inf	(fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) 2) re)
0.0ms	re	@	-inf	(cbrt.f64 re)

Compiler

Compiled 5760 to 4535 computations (21.3% saved)

rewrite43.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

503×	`pow1_binary64`
487×	`add-sqr-sqrt_binary64`
468×	`add-log-exp_binary64`
467×	`log1p-expm1-u_binary64`
467×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	145	13
2	1649	13

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

Inputs
(fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) 2) re)
(cbrt.f64 re)
(pow.f64 (cbrt.f64 re) 2)

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

Outputs

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

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

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

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

63×	`associate-r_binary64`
63×	`associate-l_binary64`
37×	`fma-def_binary64`
31×	`sqr-pow_binary64`
30×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	130	280
1	269	280
2	1228	280

Stop Event

1×

unsound

Counts

70 → 70

Calls

Call 1

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

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

localize25.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(-.f64 (hypot.f64 re im) re)
✓	27.0b	(fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)

Compiler

Compiled 88 to 20 computations (77.3% saved)

series16.0ms (0.2%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	re	@	0	(fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)
0.0ms	re	@	inf	(fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)
0.0ms	re	@	-inf	(fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)

Compiler

Compiled 1165 to 915 computations (21.5% saved)

rewrite81.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

376×	`pow1_binary64`
364×	`add-sqr-sqrt_binary64`
356×	`*-un-lft-identity_binary64`
349×	`add-log-exp_binary64`
348×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	103	4
2	1275	4

Stop Event

1×	node limit

Counts

1 → 85

Calls

Call 1

Inputs
(fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)

Outputs

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

simplify79.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

382×	`times-frac_binary64`
310×	`log-prod_binary64`
252×	`associate-+l+_binary64`
226×	`unswap-sqr_binary64`
197×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	214	3536
1	556	2237
2	1725	748
3	6559	740

Stop Event

1×	node limit

Counts

85 → 123

Calls

Call 1

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

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

localize24.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (hypot.f64 re im))
✓	15.6b	(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re))

Compiler

Compiled 69 to 18 computations (73.9% saved)

series124.0ms (1.4%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	im	@	0	(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re))
1.0ms	im	@	inf	(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re))
1.0ms	im	@	-inf	(sqrt.f64 (hypot.f64 re im))
1.0ms	re	@	0	(sqrt.f64 (hypot.f64 re im))
1.0ms	re	@	0	(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re))

Compiler

Compiled 9315 to 7560 computations (18.8% saved)

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

563×	`pow1_binary64`
518×	`add-log-exp_binary64`
517×	`log1p-expm1-u_binary64`
517×	`expm1-log1p-u_binary64`
505×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	142	13
2	1704	13

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re))
(sqrt.f64 (hypot.f64 re im))

Outputs

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

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

simplify39.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

379×	`fma-neg_binary64`
364×	`log-prod_binary64`
332×	`associate-l_binary64`
298×	`associate-r_binary64`
247×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	451
1	208	401
2	754	355
3	4657	341

Stop Event

1×	node limit

Counts

43 → 51

Calls

Call 1

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

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

localize26.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (hypot.f64 re im))
✓	0.5b	(pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)
✓	15.4b	(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re))

Compiler

Compiled 83 to 31 computations (62.7% saved)

series472.0ms (5.5%)

Counts

3 → 0

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	im	@	0	(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re))
5.0ms	re	@	0	(pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)
3.0ms	im	@	inf	(pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)
2.0ms	re	@	0	(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re))
2.0ms	im	@	inf	(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re))

Compiler

Compiled 29720 to 24960 computations (16% saved)

rewrite108.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

688×	`pow1_binary64`
635×	`add-log-exp_binary64`
634×	`log1p-expm1-u_binary64`
634×	`expm1-log1p-u_binary64`
620×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	185	22
2	2075	22

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

Inputs
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re))
(pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)
(cbrt.f64 (hypot.f64 re im))

Outputs

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

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

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

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

499×	`associate-/r*_binary64`
292×	`fma-neg_binary64`
269×	`associate-*l/_binary64`
260×	`associate-/l/_binary64`
260×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	687
1	247	583
2	980	482
3	4069	476

Stop Event

1×	node limit

Counts

59 → 72

Calls

Call 1

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

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

eval219.0ms (2.5%)

Compiler: Compiled 12000 to 5475 computations (54.4% saved)

prune226.0ms (2.6%)

Pruning

39 alts after pruning (34 fresh and 5 done)

	Pruned	Kept	Total
New	447	34	481
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	447	39	486

Error

12.8b

Counts

486 → 39

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.7b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 1/4) 2) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re)))))
	16.2b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 3) (neg.f64 re)))))
▶	16.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im)))) (neg.f64 re)))))
✓	16.2b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)))))
	15.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 3/2) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re)))))
	16.3b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) (cbrt.f64 (hypot.f64 re im)))) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)))))
✓	15.7b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re)))))
	52.2b	(.f64 1/2 (sqrt.f64 (.f64 2 (pow.f64 (pow.f64 (+.f64 (hypot.f64 re im) re) 3) 1/3))))
	32.0b	(.f64 1/2 (sqrt.f64 (.f64 2 (pow.f64 (sqrt.f64 (+.f64 (hypot.f64 re im) re)) 2))))
	32.2b	(.f64 1/2 (sqrt.f64 (.f64 2 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 re im) re)) 3))))
✓	13.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (-.f64 (hypot.f64 re im) re))))
	51.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)))))
	15.8b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) 2) re)))))
▶	31.8b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (hypot.f64 re im) re))))
	15.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 3)) (pow.f64 (cbrt.f64 re) 2) re)))))
✓	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)))))
✓	15.7b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) 2) re)))))
	21.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (sqrt.f64 (*.f64 re (cbrt.f64 re))) re)))))
▶	25.4b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (cbrt.f64 (*.f64 re re)) re)))))
	25.6b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (cbrt.f64 (*.f64 re re)) (cbrt.f64 re) (neg.f64 re))))))
	32.2b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (/.f64 (.f64 re re) (.f64 re 1/2))))))
	50.8b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (pow.f64 re 1/4) (.f64 (pow.f64 re 1/4) (sqrt.f64 re)) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 re))) (.f64 (sqrt.f64 re) (cbrt.f64 re)) (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re)))))))))
	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (.f64 (sqrt.f64 re) (cbrt.f64 re)) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (*.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (.f64 (sqrt.f64 re) (cbrt.f64 re)) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (.f64 (pow.f64 re 1/4) (sqrt.f64 re)) (pow.f64 re 1/4)))) (fma.f64 (neg.f64 (.f64 (pow.f64 re 1/4) (sqrt.f64 re))) (pow.f64 re 1/4) (.f64 (.f64 (pow.f64 re 1/4) (sqrt.f64 re)) (pow.f64 re 1/4))))))))
	50.8b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (.f64 (sqrt.f64 re) (cbrt.f64 re)) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (sqrt.f64 re)) (cbrt.f64 re)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (sqrt.f64 re))) (cbrt.f64 re) (.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (sqrt.f64 re)) (cbrt.f64 re))))))))
	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (sqrt.f64 re) (sqrt.f64 re) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
	50.8b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (sqrt.f64 re) (sqrt.f64 re) (neg.f64 (.f64 (.f64 (pow.f64 re 1/4) (sqrt.f64 re)) (pow.f64 re 1/4)))) (fma.f64 (neg.f64 (.f64 (pow.f64 re 1/4) (sqrt.f64 re))) (pow.f64 re 1/4) (.f64 (*.f64 (pow.f64 re 1/4) (sqrt.f64 re)) (pow.f64 re 1/4))))))))
	52.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (cbrt.f64 (.f64 re re)) (cbrt.f64 re) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (*.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
	52.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (cbrt.f64 (.f64 re re)) (cbrt.f64 re) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 re))) (.f64 (sqrt.f64 re) (cbrt.f64 re)) (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re)))))))))
	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (cbrt.f64 re) (.f64 (sqrt.f64 (cbrt.f64 re)) (sqrt.f64 re)) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (*.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (cbrt.f64 re) (.f64 (sqrt.f64 (cbrt.f64 re)) (sqrt.f64 re)) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 re))) (.f64 (sqrt.f64 re) (cbrt.f64 re)) (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re)))))))))
	52.0b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (cbrt.f64 re) (cbrt.f64 (.f64 re re)) (.f64 (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (cbrt.f64 re) (sqrt.f64 re))))) (fma.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (neg.f64 (sqrt.f64 re))) (cbrt.f64 re) (.f64 (cbrt.f64 re) (.f64 (sqrt.f64 (cbrt.f64 re)) (sqrt.f64 re)))))))))
	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 re 1 (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 re 1 (neg.f64 (.f64 (.f64 (pow.f64 re 1/4) (sqrt.f64 re)) (pow.f64 re 1/4)))) (fma.f64 (neg.f64 (.f64 (pow.f64 re 1/4) (sqrt.f64 re))) (pow.f64 re 1/4) (.f64 (*.f64 (pow.f64 re 1/4) (sqrt.f64 re)) (pow.f64 re 1/4))))))))
▶	50.8b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 re 1 (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 re))) (.f64 (sqrt.f64 re) (cbrt.f64 re)) (.f64 (sqrt.f64 (cbrt.f64 re)) (*.f64 (sqrt.f64 re) (cbrt.f64 re)))))))))
	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (.f64 0 (.f64 (sqrt.f64 re) (pow.f64 re 1/2))) (fma.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (cbrt.f64 re) (sqrt.f64 re)) (neg.f64 (.f64 (sqrt.f64 re) (pow.f64 re 1/2)))))))))
	52.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (.f64 0 (.f64 (sqrt.f64 re) (pow.f64 re 1/2))) (fma.f64 (cbrt.f64 (.f64 re re)) (cbrt.f64 re) (neg.f64 (.f64 (sqrt.f64 re) (pow.f64 re 1/2)))))))))
	33.6b	(.f64 1/2 (sqrt.f64 (.f64 2 (expm1.f64 (log1p.f64 (+.f64 (hypot.f64 re im) re))))))
	34.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (exp.f64 (log.f64 (+.f64 (hypot.f64 re im) re))))))

Compiler

Compiled 2406 to 1525 computations (36.6% saved)

localize54.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (hypot.f64 re im))
✓	0.5b	(pow.f64 (pow.f64 (hypot.f64 re im) 1/4) 2)
✓	15.5b	(fma.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 1/4) 2) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re))

Compiler

Compiled 94 to 44 computations (53.2% saved)

series260.0ms (3%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
26.0ms	im	@	0	(fma.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 1/4) 2) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re))
3.0ms	re	@	inf	(fma.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 1/4) 2) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re))
3.0ms	re	@	0	(fma.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 1/4) 2) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re))
2.0ms	re	@	0	(pow.f64 (pow.f64 (hypot.f64 re im) 1/4) 2)
2.0ms	re	@	inf	(pow.f64 (pow.f64 (hypot.f64 re im) 1/4) 2)

Compiler

Compiled 21430 to 18505 computations (13.6% saved)

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

777×	`pow1_binary64`
721×	`add-log-exp_binary64`
720×	`log1p-expm1-u_binary64`
720×	`expm1-log1p-u_binary64`
703×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	238	13
2	2359	13

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs
(fma.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 1/4) 2) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re))
(pow.f64 (pow.f64 (hypot.f64 re im) 1/4) 2)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (hypot.f64 re im))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 re im) 1/4) (pow.f64 (hypot.f64 re im) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 re im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (cbrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 1/4)) (pow.f64 (hypot.f64 re im) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 re im) 1/8) (*.f64 (pow.f64 (hypot.f64 re im) 1/8) (pow.f64 (hypot.f64 re im) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (hypot.f64 re im) 1/4) (pow.f64 (hypot.f64 re im) 1/8)) (pow.f64 (hypot.f64 re im) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) (sqrt.f64 (cbrt.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) 1/2) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (hypot.f64 re im) 1/4) (cbrt.f64 (sqrt.f64 (hypot.f64 re im)))) (cbrt.f64 (pow.f64 (hypot.f64 re im) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (hypot.f64 re im))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (hypot.f64 re im)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 re im) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (hypot.f64 re im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))))))))

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

357×	`associate-l_binary64`
319×	`log-prod_binary64`
316×	`fma-neg_binary64`
315×	`associate-r_binary64`
285×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	476
1	212	429
2	696	386
3	4323	372

Stop Event

1×	node limit

Counts

42 → 53

Calls

Call 1

Inputs
(+.f64 (hypot.f64 re im) re)
(+.f64 re (hypot.f64 re im))
(-.f64 (hypot.f64 re im) re)
(-.f64 (+.f64 1 (+.f64 (hypot.f64 re im) re)) 1)
(-.f64 (+.f64 (hypot.f64 re im) 0) re)
(*.f64 (+.f64 (hypot.f64 re im) re) 1)
(*.f64 1 (+.f64 (hypot.f64 re im) re))
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 re im) re)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 re im) re)) 2) (cbrt.f64 (+.f64 (hypot.f64 re im) re)))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 re im) re)) (sqrt.f64 (+.f64 (hypot.f64 re im) re)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (+.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (.f64 re re) (.f64 (hypot.f64 re im) re))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (+.f64 (hypot.f64 re im) re))
(pow.f64 (+.f64 (hypot.f64 re im) re) 1)
(pow.f64 (pow.f64 (+.f64 (hypot.f64 re im) re) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 re im) re)) 3)
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 re im) re)) 2)
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 re im) re) 2))
(log.f64 (exp.f64 (+.f64 (hypot.f64 re im) re)))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 re im) re) 3))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 re im) re)))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 re im) re)))
(exp.f64 (log.f64 (+.f64 (hypot.f64 re im) re)))
(-.f64 (+.f64 1 (sqrt.f64 (hypot.f64 re im))) 1)
(*.f64 (pow.f64 (hypot.f64 re im) 1/4) (pow.f64 (hypot.f64 re im) 1/4))
(*.f64 (sqrt.f64 (hypot.f64 re im)) 1)
(*.f64 1 (sqrt.f64 (hypot.f64 re im)))
(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (cbrt.f64 (hypot.f64 re im)))
(.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 1/4)) (pow.f64 (hypot.f64 re im) 1/4)))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))))
(.f64 (pow.f64 (hypot.f64 re im) 1/8) (.f64 (pow.f64 (hypot.f64 re im) 1/8) (pow.f64 (hypot.f64 re im) 1/4)))
(.f64 (.f64 (pow.f64 (hypot.f64 re im) 1/4) (pow.f64 (hypot.f64 re im) 1/8)) (pow.f64 (hypot.f64 re im) 1/8))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) (sqrt.f64 (cbrt.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) 1/2) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 1/2))
(.f64 (.f64 (pow.f64 (hypot.f64 re im) 1/4) (cbrt.f64 (sqrt.f64 (hypot.f64 re im)))) (cbrt.f64 (pow.f64 (hypot.f64 re im) 1/4)))
(sqrt.f64 (hypot.f64 re im))
(fabs.f64 (sqrt.f64 (hypot.f64 re im)))
(log.f64 (exp.f64 (sqrt.f64 (hypot.f64 re im))))
(cbrt.f64 (pow.f64 (hypot.f64 re im) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (hypot.f64 re im))))
(log1p.f64 (expm1.f64 (sqrt.f64 (hypot.f64 re im))))
(exp.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))))

Outputs
(+.f64 (hypot.f64 re im) re)
(+.f64 re (hypot.f64 re im))
(+.f64 re (hypot.f64 re im))
(-.f64 (hypot.f64 re im) re)
(-.f64 (+.f64 1 (+.f64 (hypot.f64 re im) re)) 1)
(+.f64 re (hypot.f64 re im))
(-.f64 (+.f64 (hypot.f64 re im) 0) re)
(-.f64 (hypot.f64 re im) re)
(*.f64 (+.f64 (hypot.f64 re im) re) 1)
(+.f64 re (hypot.f64 re im))
(*.f64 1 (+.f64 (hypot.f64 re im) re))
(+.f64 re (hypot.f64 re im))
(*.f64 (cbrt.f64 (+.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 re im) re)) 2))
(+.f64 re (hypot.f64 re im))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 re im) re)) 2) (cbrt.f64 (+.f64 (hypot.f64 re im) re)))
(+.f64 re (hypot.f64 re im))
(*.f64 (sqrt.f64 (+.f64 (hypot.f64 re im) re)) (sqrt.f64 (+.f64 (hypot.f64 re im) re)))
(+.f64 re (hypot.f64 re im))
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (+.f64 (pow.f64 (hypot.f64 re im) 2) (-.f64 (.f64 re re) (.f64 (hypot.f64 re im) re))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (+.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re (-.f64 re (hypot.f64 re im)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) 2)))
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) 3) (pow.f64 re 3)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) 2) (*.f64 re re)) (+.f64 (hypot.f64 re im) re))
(-.f64 (hypot.f64 re im) re)
(pow.f64 (+.f64 (hypot.f64 re im) re) 1)
(+.f64 re (hypot.f64 re im))
(pow.f64 (pow.f64 (+.f64 (hypot.f64 re im) re) 3) 1/3)
(+.f64 re (hypot.f64 re im))
(pow.f64 (cbrt.f64 (+.f64 (hypot.f64 re im) re)) 3)
(+.f64 re (hypot.f64 re im))
(pow.f64 (sqrt.f64 (+.f64 (hypot.f64 re im) re)) 2)
(+.f64 re (hypot.f64 re im))
(sqrt.f64 (pow.f64 (+.f64 (hypot.f64 re im) re) 2))
(+.f64 re (hypot.f64 re im))
(log.f64 (exp.f64 (+.f64 (hypot.f64 re im) re)))
(+.f64 re (hypot.f64 re im))
(cbrt.f64 (pow.f64 (+.f64 (hypot.f64 re im) re) 3))
(+.f64 re (hypot.f64 re im))
(expm1.f64 (log1p.f64 (+.f64 (hypot.f64 re im) re)))
(+.f64 re (hypot.f64 re im))
(log1p.f64 (expm1.f64 (+.f64 (hypot.f64 re im) re)))
(+.f64 re (hypot.f64 re im))
(exp.f64 (log.f64 (+.f64 (hypot.f64 re im) re)))
(+.f64 re (hypot.f64 re im))
(-.f64 (+.f64 1 (sqrt.f64 (hypot.f64 re im))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 re im)) 1))
(+.f64 (sqrt.f64 (hypot.f64 re im)) 0)
(sqrt.f64 (hypot.f64 re im))
(*.f64 (pow.f64 (hypot.f64 re im) 1/4) (pow.f64 (hypot.f64 re im) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 re im)) 1))
(+.f64 (sqrt.f64 (hypot.f64 re im)) 0)
(sqrt.f64 (hypot.f64 re im))
(*.f64 (sqrt.f64 (hypot.f64 re im)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 re im)) 1))
(+.f64 (sqrt.f64 (hypot.f64 re im)) 0)
(sqrt.f64 (hypot.f64 re im))
(*.f64 1 (sqrt.f64 (hypot.f64 re im)))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 re im)) 1))
(+.f64 (sqrt.f64 (hypot.f64 re im)) 0)
(sqrt.f64 (hypot.f64 re im))
(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (cbrt.f64 (hypot.f64 re im)))
(.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 1/4)) (pow.f64 (hypot.f64 re im) 1/4)))
(.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (.f64 (pow.f64 (hypot.f64 re im) 1/4) (cbrt.f64 (pow.f64 (hypot.f64 re im) 1/4))))
(.f64 (pow.f64 (hypot.f64 re im) 1/4) (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (cbrt.f64 (pow.f64 (hypot.f64 re im) 1/4))))
(.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 1/4)) (.f64 (pow.f64 (hypot.f64 re im) 1/4) (cbrt.f64 (sqrt.f64 (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (cbrt.f64 (hypot.f64 re im)))
(.f64 (pow.f64 (hypot.f64 re im) 1/8) (.f64 (pow.f64 (hypot.f64 re im) 1/8) (pow.f64 (hypot.f64 re im) 1/4)))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 re im)) 1))
(+.f64 (sqrt.f64 (hypot.f64 re im)) 0)
(sqrt.f64 (hypot.f64 re im))
(.f64 (.f64 (pow.f64 (hypot.f64 re im) 1/4) (pow.f64 (hypot.f64 re im) 1/8)) (pow.f64 (hypot.f64 re im) 1/8))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 re im)) 1))
(+.f64 (sqrt.f64 (hypot.f64 re im)) 0)
(sqrt.f64 (hypot.f64 re im))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) (sqrt.f64 (cbrt.f64 (hypot.f64 re im))))
(*.f64 (fabs.f64 (cbrt.f64 (hypot.f64 re im))) (sqrt.f64 (cbrt.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (sqrt.f64 (cbrt.f64 (hypot.f64 re im))))
(pow.f64 (cbrt.f64 (hypot.f64 re im)) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (hypot.f64 re im)))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 re im)) 1))
(+.f64 (sqrt.f64 (hypot.f64 re im)) 0)
(sqrt.f64 (hypot.f64 re im))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) 1/2) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)) (sqrt.f64 (cbrt.f64 (hypot.f64 re im))))
(*.f64 (fabs.f64 (cbrt.f64 (hypot.f64 re im))) (sqrt.f64 (cbrt.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (sqrt.f64 (cbrt.f64 (hypot.f64 re im))))
(pow.f64 (cbrt.f64 (hypot.f64 re im)) 3/2)
(.f64 (.f64 (pow.f64 (hypot.f64 re im) 1/4) (cbrt.f64 (sqrt.f64 (hypot.f64 re im)))) (cbrt.f64 (pow.f64 (hypot.f64 re im) 1/4)))
(.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (.f64 (pow.f64 (hypot.f64 re im) 1/4) (cbrt.f64 (pow.f64 (hypot.f64 re im) 1/4))))
(.f64 (pow.f64 (hypot.f64 re im) 1/4) (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (cbrt.f64 (pow.f64 (hypot.f64 re im) 1/4))))
(.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 1/4)) (.f64 (pow.f64 (hypot.f64 re im) 1/4) (cbrt.f64 (sqrt.f64 (hypot.f64 re im)))))
(sqrt.f64 (hypot.f64 re im))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 re im)) 1))
(+.f64 (sqrt.f64 (hypot.f64 re im)) 0)
(fabs.f64 (sqrt.f64 (hypot.f64 re im)))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 re im)) 1))
(+.f64 (sqrt.f64 (hypot.f64 re im)) 0)
(sqrt.f64 (hypot.f64 re im))
(log.f64 (exp.f64 (sqrt.f64 (hypot.f64 re im))))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 re im)) 1))
(+.f64 (sqrt.f64 (hypot.f64 re im)) 0)
(sqrt.f64 (hypot.f64 re im))
(cbrt.f64 (pow.f64 (hypot.f64 re im) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (hypot.f64 re im))))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 re im)) 1))
(+.f64 (sqrt.f64 (hypot.f64 re im)) 0)
(sqrt.f64 (hypot.f64 re im))
(log1p.f64 (expm1.f64 (sqrt.f64 (hypot.f64 re im))))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 re im)) 1))
(+.f64 (sqrt.f64 (hypot.f64 re im)) 0)
(sqrt.f64 (hypot.f64 re im))
(exp.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))))
(+.f64 1 (-.f64 (sqrt.f64 (hypot.f64 re im)) 1))
(+.f64 (sqrt.f64 (hypot.f64 re im)) 0)
(sqrt.f64 (hypot.f64 re im))

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))
✓	1.1b	(+.f64 (hypot.f64 re im) re)

Compiler

Compiled 39 to 16 computations (59% saved)

series92.0ms (1.1%)

Counts

2 → 0

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	im	@	0	(sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))
1.0ms	re	@	-inf	(sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))
1.0ms	re	@	0	(sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))
1.0ms	im	@	inf	(sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))
1.0ms	re	@	inf	(sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))

Compiler

Compiled 7940 to 6275 computations (21% saved)

rewrite51.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

907×	`pow1_binary64`
845×	`add-log-exp_binary64`
844×	`log1p-expm1-u_binary64`
844×	`expm1-log1p-u_binary64`
827×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	178	19
2	2361	19

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs
(+.f64 (hypot.f64 re im) re)
(sqrt.f64 (*.f64 2 (+.f64 (hypot.f64 re im) re)))

Outputs

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

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

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

653×	`fma-neg_binary64`
464×	`associate-l_binary64`
417×	`associate-r_binary64`
382×	`log-prod_binary64`
363×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	981
1	290	824
2	911	694
3	5045	668

Stop Event

1×	node limit

Counts

55 → 67

Calls

Call 1

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

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

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(-.f64 (hypot.f64 re im) re)
	0.6b	(cbrt.f64 re)
✓	27.6b	(cbrt.f64 (*.f64 re re))
✓	60.3b	(fma.f64 (neg.f64 (cbrt.f64 re)) (cbrt.f64 (*.f64 re re)) re)

Compiler

Compiled 105 to 22 computations (79% saved)

series31.0ms (0.4%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	re	@	-inf	(cbrt.f64 (*.f64 re re))
1.0ms	re	@	-inf	(fma.f64 (neg.f64 (cbrt.f64 re)) (cbrt.f64 (*.f64 re re)) re)
1.0ms	re	@	0	(fma.f64 (neg.f64 (cbrt.f64 re)) (cbrt.f64 (*.f64 re re)) re)
0.0ms	re	@	inf	(fma.f64 (neg.f64 (cbrt.f64 re)) (cbrt.f64 (*.f64 re re)) re)
0.0ms	re	@	inf	(cbrt.f64 (*.f64 re re))

Compiler

Compiled 2450 to 1805 computations (26.3% saved)

rewrite40.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

493×	`pow1_binary64`
473×	`add-sqr-sqrt_binary64`
458×	`add-log-exp_binary64`
457×	`log1p-expm1-u_binary64`
457×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	139	10
2	1632	10

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(fma.f64 (neg.f64 (cbrt.f64 re)) (cbrt.f64 (*.f64 re re)) re)
(cbrt.f64 (*.f64 re re))

Outputs

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

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

35×	`associate-l_binary64`
34×	`associate-r_binary64`
31×	`sqr-pow_binary64`
22×	`fma-def_binary64`
16×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	172
1	199	172
2	839	172

Stop Event

1×

unsound

Counts

43 → 43

Calls

Call 1

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

Outputs
(+.f64 re re)
(-.f64 (+.f64 1 (+.f64 re re)) 1)
(+.f64 re re)
(*.f64 (+.f64 re re) 1)
(+.f64 re re)
(*.f64 1 (+.f64 re re))
(+.f64 re re)
(*.f64 (cbrt.f64 (+.f64 re re)) (pow.f64 (cbrt.f64 (+.f64 re re)) 2))
(+.f64 re re)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re re)) 2) (cbrt.f64 (+.f64 re re)))
(+.f64 re re)
(*.f64 (sqrt.f64 (+.f64 re re)) (sqrt.f64 (+.f64 re re)))
(+.f64 re re)
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 re 3)) (+.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 re re))))
(+.f64 re re)
(/.f64 (-.f64 (.f64 re re) (.f64 re re)) (-.f64 re re))
(+.f64 re re)
(pow.f64 (+.f64 re re) 1)
(+.f64 re re)
(pow.f64 (pow.f64 (+.f64 re re) 3) 1/3)
(+.f64 re re)
(pow.f64 (cbrt.f64 (+.f64 re re)) 3)
(+.f64 re re)
(pow.f64 (sqrt.f64 (+.f64 re re)) 2)
(+.f64 re re)
(sqrt.f64 (pow.f64 (+.f64 re re) 2))
(+.f64 re re)
(log.f64 (exp.f64 (+.f64 re re)))
(+.f64 re re)
(cbrt.f64 (pow.f64 (+.f64 re re) 3))
(+.f64 re re)
(expm1.f64 (log1p.f64 (+.f64 re re)))
(+.f64 re re)
(log1p.f64 (expm1.f64 (+.f64 re re)))
(+.f64 re re)
(exp.f64 (log.f64 (+.f64 re re)))
(+.f64 re re)
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 re) 2)) 1)
(+.f64 re re)
(*.f64 (cbrt.f64 re) (cbrt.f64 re))
(+.f64 re re)
(*.f64 (pow.f64 (cbrt.f64 re) 2) 1)
(+.f64 re re)
(*.f64 1 (pow.f64 (cbrt.f64 re) 2))
(+.f64 re re)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) (cbrt.f64 (.f64 re (cbrt.f64 re))))
(+.f64 re re)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) (.f64 (cbrt.f64 (cbrt.f64 re)) (cbrt.f64 re)))
(+.f64 re re)
(.f64 (cbrt.f64 (.f64 re (cbrt.f64 re))) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2))
(+.f64 re re)
(.f64 (pow.f64 re 1/6) (.f64 (pow.f64 re 1/6) (cbrt.f64 re)))
(+.f64 re re)
(*.f64 (sqrt.f64 re) (pow.f64 re 1/6))
(+.f64 re re)
(*.f64 -1 (pow.f64 (cbrt.f64 re) 2))
(+.f64 re re)
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 re) 2))
(+.f64 re re)
(.f64 (pow.f64 (.f64 re (cbrt.f64 re)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2))
(+.f64 re re)
(.f64 (.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2)) (cbrt.f64 (cbrt.f64 re)))
(+.f64 re re)
(pow.f64 re 2/3)
(+.f64 re re)
(pow.f64 (cbrt.f64 re) 2)
(+.f64 re re)
(pow.f64 (*.f64 re re) 1/3)
(+.f64 re re)
(pow.f64 (pow.f64 (cbrt.f64 re) 2) 1)
(+.f64 re re)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) 3)
(+.f64 re re)
(neg.f64 (pow.f64 (cbrt.f64 re) 2))
(+.f64 re re)
(sqrt.f64 (*.f64 re (cbrt.f64 re)))
(+.f64 re re)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 re) 2)))
(+.f64 re re)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 re) 2)))
(+.f64 re re)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 re) 2)))
(+.f64 re re)
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 re) 2)))
(+.f64 re re)

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))))
	0.5b	(pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)
✓	0.6b	(cbrt.f64 (sqrt.f64 (hypot.f64 re im)))
✓	15.5b	(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im)))) (neg.f64 re))

Compiler

Compiled 131 to 34 computations (74% saved)

series958.0ms (11.1%)

Counts

3 → 0

Calls

18 calls:

Time	Variable		Point	Expression
10.0ms	im	@	0	(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im)))) (neg.f64 re))
7.0ms	re	@	inf	(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))))
6.0ms	re	@	0	(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))))
3.0ms	re	@	0	(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im)))) (neg.f64 re))
3.0ms	im	@	-inf	(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))))

Compiler

Compiled 49805 to 42405 computations (14.9% saved)

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

805×	`pow1_binary64`
744×	`add-log-exp_binary64`
743×	`log1p-expm1-u_binary64`
743×	`expm1-log1p-u_binary64`
723×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	243	20
2	2467	20

Stop Event

1×	node limit

Counts

3 → 58

Calls

Call 1

Inputs

(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im)))) (neg.f64 re))

(cbrt.f64 (sqrt.f64 (hypot.f64 re im)))

(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))))

Outputs

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

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

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

simplify50.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

547×	`associate-/r*_binary64`
342×	`unswap-sqr_binary64`
319×	`fma-neg_binary64`
315×	`log-prod_binary64`
263×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	630
1	252	532
2	915	442
3	4596	435

Stop Event

1×	node limit

Counts

58 → 69

Calls

Call 1

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

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

localize49.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(-.f64 (hypot.f64 re im) re)
	0.6b	(cbrt.f64 re)
✓	13.2b	(fma.f64 re 1 (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re)))))
✓	27.4b	(fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 re))) (.f64 (sqrt.f64 re) (cbrt.f64 re)) (.f64 (sqrt.f64 (cbrt.f64 re)) (*.f64 (sqrt.f64 re) (cbrt.f64 re))))

Compiler

Compiled 281 to 46 computations (83.6% saved)

series319.0ms (3.7%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	re	@	inf	(fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 re))) (.f64 (sqrt.f64 re) (cbrt.f64 re)) (.f64 (sqrt.f64 (cbrt.f64 re)) (*.f64 (sqrt.f64 re) (cbrt.f64 re))))
10.0ms	re	@	-inf	(fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 re))) (.f64 (sqrt.f64 re) (cbrt.f64 re)) (.f64 (sqrt.f64 (cbrt.f64 re)) (*.f64 (sqrt.f64 re) (cbrt.f64 re))))
6.0ms	re	@	0	(fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 re))) (.f64 (sqrt.f64 re) (cbrt.f64 re)) (.f64 (sqrt.f64 (cbrt.f64 re)) (*.f64 (sqrt.f64 re) (cbrt.f64 re))))
1.0ms	re	@	-inf	(fma.f64 re 1 (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re)))))
1.0ms	re	@	inf	(fma.f64 re 1 (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re)))))

Compiler

Compiled 20475 to 15970 computations (22% saved)

rewrite43.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

672×	`pow1_binary64`
624×	`add-log-exp_binary64`
624×	`log1p-expm1-u_binary64`
624×	`expm1-log1p-u_binary64`
607×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	64
1	239	8
2	3010	8

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs

(fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 re))) (*.f64 (sqrt.f64 re) (cbrt.f64 re)) (*.f64 (sqrt.f64 (cbrt.f64 re)) (*.f64 (sqrt.f64 re) (cbrt.f64 re))))

(fma.f64 re 1 (neg.f64 (*.f64 (sqrt.f64 (cbrt.f64 re)) (*.f64 (sqrt.f64 re) (cbrt.f64 re)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 re re)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 re re)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 re re))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 re re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 re 0) re)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 re 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 re 1/6) (+.f64 (pow.f64 re 5/6) (pow.f64 re 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 re 5/6) (+.f64 (pow.f64 re 1/6) (pow.f64 re 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 re re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 re re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 0 re)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 re re)) 2) (cbrt.f64 (+.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 re re)) (pow.f64 (cbrt.f64 (+.f64 re re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re re)) (sqrt.f64 (+.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 re 3) (pow.f64 re 3)) (+.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 re re) (*.f64 re re)) (+.f64 re re))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 re re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 re re) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 re re)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 re re)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 re re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 re re) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 re re)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 re re)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 re re)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 re re))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 re re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 re 0) re)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 re 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 re 1/6) (+.f64 (pow.f64 re 5/6) (pow.f64 re 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 re 5/6) (+.f64 (pow.f64 re 1/6) (pow.f64 re 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 re re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 re re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 0 re)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 re re)) 2) (cbrt.f64 (+.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 re re)) (pow.f64 (cbrt.f64 (+.f64 re re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 re re)) (sqrt.f64 (+.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 re 3) (pow.f64 re 3)) (+.f64 (*.f64 re re) (-.f64 (*.f64 re re) (*.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 re re) (*.f64 re re)) (+.f64 re re))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 re re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 re re) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 re re)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 re re)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 re re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 re re) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 re re)))))))

simplify39.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

356×	`associate-/l*_binary64`
345×	`associate-/r*_binary64`
344×	`associate-l_binary64`
338×	`log-prod_binary64`
305×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	218
1	141	214
2	574	214
3	3613	214

Stop Event

1×	node limit

Counts

52 → 32

Calls

Call 1

Inputs
(+.f64 re re)
(-.f64 re re)
(-.f64 0 (+.f64 re re))
(-.f64 (+.f64 1 (+.f64 re re)) 1)
(-.f64 (+.f64 re 0) re)
(*.f64 re 0)
(*.f64 (pow.f64 re 1/6) (+.f64 (pow.f64 re 5/6) (pow.f64 re 5/6)))
(*.f64 (pow.f64 re 5/6) (+.f64 (pow.f64 re 1/6) (pow.f64 re 1/6)))
(*.f64 (+.f64 re re) 1)
(*.f64 1 (+.f64 re re))
(*.f64 0 re)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re re)) 2) (cbrt.f64 (+.f64 re re)))
(*.f64 (cbrt.f64 (+.f64 re re)) (pow.f64 (cbrt.f64 (+.f64 re re)) 2))
(*.f64 (sqrt.f64 (+.f64 re re)) (sqrt.f64 (+.f64 re re)))
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 re 3)) (+.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 re re))))
(/.f64 (-.f64 (.f64 re re) (.f64 re re)) (+.f64 re re))
(pow.f64 (+.f64 re re) 1)
(pow.f64 (pow.f64 (+.f64 re re) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 re re)) 3)
(pow.f64 (sqrt.f64 (+.f64 re re)) 2)
(sqrt.f64 (pow.f64 (+.f64 re re) 2))
(log.f64 (exp.f64 (+.f64 re re)))
(cbrt.f64 (pow.f64 (+.f64 re re) 3))
(expm1.f64 (log1p.f64 (+.f64 re re)))
(log1p.f64 (expm1.f64 (+.f64 re re)))
(exp.f64 (log.f64 (+.f64 re re)))
(+.f64 re re)
(-.f64 re re)
(-.f64 0 (+.f64 re re))
(-.f64 (+.f64 1 (+.f64 re re)) 1)
(-.f64 (+.f64 re 0) re)
(*.f64 re 0)
(*.f64 (pow.f64 re 1/6) (+.f64 (pow.f64 re 5/6) (pow.f64 re 5/6)))
(*.f64 (pow.f64 re 5/6) (+.f64 (pow.f64 re 1/6) (pow.f64 re 1/6)))
(*.f64 (+.f64 re re) 1)
(*.f64 1 (+.f64 re re))
(*.f64 0 re)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re re)) 2) (cbrt.f64 (+.f64 re re)))
(*.f64 (cbrt.f64 (+.f64 re re)) (pow.f64 (cbrt.f64 (+.f64 re re)) 2))
(*.f64 (sqrt.f64 (+.f64 re re)) (sqrt.f64 (+.f64 re re)))
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 re 3)) (+.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 re re))))
(/.f64 (-.f64 (.f64 re re) (.f64 re re)) (+.f64 re re))
(pow.f64 (+.f64 re re) 1)
(pow.f64 (pow.f64 (+.f64 re re) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 re re)) 3)
(pow.f64 (sqrt.f64 (+.f64 re re)) 2)
(sqrt.f64 (pow.f64 (+.f64 re re) 2))
(log.f64 (exp.f64 (+.f64 re re)))
(cbrt.f64 (pow.f64 (+.f64 re re) 3))
(expm1.f64 (log1p.f64 (+.f64 re re)))
(log1p.f64 (expm1.f64 (+.f64 re re)))
(exp.f64 (log.f64 (+.f64 re re)))

Outputs
(+.f64 re re)
(-.f64 re re)
0
(-.f64 0 (+.f64 re re))
(neg.f64 (+.f64 re re))
(*.f64 -2 re)
(*.f64 re -2)
(-.f64 (+.f64 1 (+.f64 re re)) 1)
(+.f64 re re)
(-.f64 (+.f64 re 0) re)
0
(*.f64 re 0)
0
(*.f64 (pow.f64 re 1/6) (+.f64 (pow.f64 re 5/6) (pow.f64 re 5/6)))
(.f64 (pow.f64 re 1/6) (.f64 2 (pow.f64 re 5/6)))
(.f64 (pow.f64 re 1/6) (.f64 (pow.f64 re 5/6) 2))
(*.f64 (pow.f64 re 5/6) (+.f64 (pow.f64 re 1/6) (pow.f64 re 1/6)))
(.f64 (pow.f64 re 1/6) (.f64 2 (pow.f64 re 5/6)))
(.f64 (pow.f64 re 1/6) (.f64 (pow.f64 re 5/6) 2))
(*.f64 (+.f64 re re) 1)
(+.f64 re re)
(*.f64 1 (+.f64 re re))
(+.f64 re re)
(*.f64 0 re)
0
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re re)) 2) (cbrt.f64 (+.f64 re re)))
(+.f64 re re)
(*.f64 (cbrt.f64 (+.f64 re re)) (pow.f64 (cbrt.f64 (+.f64 re re)) 2))
(+.f64 re re)
(*.f64 (sqrt.f64 (+.f64 re re)) (sqrt.f64 (+.f64 re re)))
(+.f64 re re)
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 re 3)) (+.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 re re))))
(+.f64 re re)
(/.f64 (-.f64 (.f64 re re) (.f64 re re)) (+.f64 re re))
0
(pow.f64 (+.f64 re re) 1)
(+.f64 re re)
(pow.f64 (pow.f64 (+.f64 re re) 3) 1/3)
(+.f64 re re)
(pow.f64 (cbrt.f64 (+.f64 re re)) 3)
(+.f64 re re)
(pow.f64 (sqrt.f64 (+.f64 re re)) 2)
(+.f64 re re)
(sqrt.f64 (pow.f64 (+.f64 re re) 2))
(+.f64 re re)
(log.f64 (exp.f64 (+.f64 re re)))
(+.f64 re re)
(cbrt.f64 (pow.f64 (+.f64 re re) 3))
(+.f64 re re)
(expm1.f64 (log1p.f64 (+.f64 re re)))
(+.f64 re re)
(log1p.f64 (expm1.f64 (+.f64 re re)))
(+.f64 re re)
(exp.f64 (log.f64 (+.f64 re re)))
(+.f64 re re)
(+.f64 re re)
(-.f64 re re)
0
(-.f64 0 (+.f64 re re))
(neg.f64 (+.f64 re re))
(*.f64 -2 re)
(*.f64 re -2)
(-.f64 (+.f64 1 (+.f64 re re)) 1)
(+.f64 re re)
(-.f64 (+.f64 re 0) re)
0
(*.f64 re 0)
0
(*.f64 (pow.f64 re 1/6) (+.f64 (pow.f64 re 5/6) (pow.f64 re 5/6)))
(.f64 (pow.f64 re 1/6) (.f64 2 (pow.f64 re 5/6)))
(.f64 (pow.f64 re 1/6) (.f64 (pow.f64 re 5/6) 2))
(*.f64 (pow.f64 re 5/6) (+.f64 (pow.f64 re 1/6) (pow.f64 re 1/6)))
(.f64 (pow.f64 re 1/6) (.f64 2 (pow.f64 re 5/6)))
(.f64 (pow.f64 re 1/6) (.f64 (pow.f64 re 5/6) 2))
(*.f64 (+.f64 re re) 1)
(+.f64 re re)
(*.f64 1 (+.f64 re re))
(+.f64 re re)
(*.f64 0 re)
0
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re re)) 2) (cbrt.f64 (+.f64 re re)))
(+.f64 re re)
(*.f64 (cbrt.f64 (+.f64 re re)) (pow.f64 (cbrt.f64 (+.f64 re re)) 2))
(+.f64 re re)
(*.f64 (sqrt.f64 (+.f64 re re)) (sqrt.f64 (+.f64 re re)))
(+.f64 re re)
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 re 3)) (+.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 re re))))
(+.f64 re re)
(/.f64 (-.f64 (.f64 re re) (.f64 re re)) (+.f64 re re))
0
(pow.f64 (+.f64 re re) 1)
(+.f64 re re)
(pow.f64 (pow.f64 (+.f64 re re) 3) 1/3)
(+.f64 re re)
(pow.f64 (cbrt.f64 (+.f64 re re)) 3)
(+.f64 re re)
(pow.f64 (sqrt.f64 (+.f64 re re)) 2)
(+.f64 re re)
(sqrt.f64 (pow.f64 (+.f64 re re) 2))
(+.f64 re re)
(log.f64 (exp.f64 (+.f64 re re)))
(+.f64 re re)
(cbrt.f64 (pow.f64 (+.f64 re re) 3))
(+.f64 re re)
(expm1.f64 (log1p.f64 (+.f64 re re)))
(+.f64 re re)
(log1p.f64 (expm1.f64 (+.f64 re re)))
(+.f64 re re)
(exp.f64 (log.f64 (+.f64 re re)))
(+.f64 re re)

eval244.0ms (2.8%)

Compiler: Compiled 20904 to 7572 computations (63.8% saved)

prune284.0ms (3.3%)

Pruning

50 alts after pruning (40 fresh and 10 done)

	Pruned	Kept	Total
New	627	16	643
Fresh	5	24	29
Picked	0	1	1
Done	0	9	9
Total	632	50	682

Error

12.8b

Counts

682 → 50

Alt Table

Click to see full alt table

Status	Error	Program
	42.9b	(.f64 1/2 (pow.f64 (pow.f64 (.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2) 1/3))
	32.1b	(.f64 1/2 (pow.f64 (pow.f64 (.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) 2))
	32.3b	(.f64 1/2 (pow.f64 (cbrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) 2)) 3/2))
	32.5b	(.f64 1/2 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) 2))) 3))
▶	38.6b	(.f64 1/2 (-.f64 (+.f64 1 (sqrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) 2))) 1))
	15.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 1/4) 2) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 3/2) (neg.f64 re)))))
✓	15.7b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 1/4) 2) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re)))))
	31.8b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 1/4) 2) (cbrt.f64 (pow.f64 (hypot.f64 re im) 3/2)) (neg.f64 re)))))
	16.2b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 3) (neg.f64 re)))))
	16.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im)))) (neg.f64 re)))))
✓	16.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im)))) (neg.f64 re)))))
✓	16.2b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)))))
	15.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 3/2) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re)))))
	16.3b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) (cbrt.f64 (hypot.f64 re im)))) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)))))
✓	15.7b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re)))))
✓	13.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (-.f64 (hypot.f64 re im) re))))
▶	51.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)))))
▶	15.8b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) 2) re)))))
✓	31.8b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (hypot.f64 re im) re))))
	15.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 3)) (pow.f64 (cbrt.f64 re) 2) re)))))
✓	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)))))
✓	15.7b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) 2) re)))))
▶	50.7b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 re 2/3) re)))))
	21.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (sqrt.f64 (*.f64 re (cbrt.f64 re))) re)))))
✓	25.4b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (cbrt.f64 (*.f64 re re)) re)))))
	25.6b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (cbrt.f64 (*.f64 re re)) (cbrt.f64 re) (neg.f64 re))))))
	50.8b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (pow.f64 re 1/4) (.f64 (pow.f64 re 1/4) (sqrt.f64 re)) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 re))) (.f64 (sqrt.f64 re) (cbrt.f64 re)) (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re)))))))))
▶	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (.f64 (sqrt.f64 re) (cbrt.f64 re)) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (*.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (.f64 (sqrt.f64 re) (cbrt.f64 re)) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (.f64 (pow.f64 re 1/4) (sqrt.f64 re)) (pow.f64 re 1/4)))) (fma.f64 (neg.f64 (.f64 (pow.f64 re 1/4) (sqrt.f64 re))) (pow.f64 re 1/4) (.f64 (.f64 (pow.f64 re 1/4) (sqrt.f64 re)) (pow.f64 re 1/4))))))))
	50.8b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (.f64 (sqrt.f64 re) (cbrt.f64 re)) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (sqrt.f64 re)) (cbrt.f64 re)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (sqrt.f64 re))) (cbrt.f64 re) (.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (sqrt.f64 re)) (cbrt.f64 re))))))))
	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (sqrt.f64 re) (sqrt.f64 re) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
	50.8b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (sqrt.f64 re) (sqrt.f64 re) (neg.f64 (.f64 (.f64 (pow.f64 re 1/4) (sqrt.f64 re)) (pow.f64 re 1/4)))) (fma.f64 (neg.f64 (.f64 (pow.f64 re 1/4) (sqrt.f64 re))) (pow.f64 re 1/4) (.f64 (*.f64 (pow.f64 re 1/4) (sqrt.f64 re)) (pow.f64 re 1/4))))))))
	52.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (cbrt.f64 (.f64 re re)) (cbrt.f64 re) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (*.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
	52.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (cbrt.f64 (.f64 re re)) (cbrt.f64 re) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 re))) (.f64 (sqrt.f64 re) (cbrt.f64 re)) (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re)))))))))
	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (cbrt.f64 re) (.f64 (sqrt.f64 (cbrt.f64 re)) (sqrt.f64 re)) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (*.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (cbrt.f64 re) (.f64 (sqrt.f64 (cbrt.f64 re)) (sqrt.f64 re)) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 re))) (.f64 (sqrt.f64 re) (cbrt.f64 re)) (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re)))))))))
	52.0b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (cbrt.f64 re) (cbrt.f64 (.f64 re re)) (.f64 (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (cbrt.f64 re) (sqrt.f64 re))))) (fma.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (neg.f64 (sqrt.f64 re))) (cbrt.f64 re) (.f64 (cbrt.f64 re) (.f64 (sqrt.f64 (cbrt.f64 re)) (sqrt.f64 re)))))))))
	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 re 1 (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 re 1 (neg.f64 (.f64 (.f64 (pow.f64 re 1/4) (sqrt.f64 re)) (pow.f64 re 1/4)))) (fma.f64 (neg.f64 (.f64 (pow.f64 re 1/4) (sqrt.f64 re))) (pow.f64 re 1/4) (.f64 (*.f64 (pow.f64 re 1/4) (sqrt.f64 re)) (pow.f64 re 1/4))))))))
	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 re 1 (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 3))) (.f64 (sqrt.f64 re) (cbrt.f64 re)) (.f64 (sqrt.f64 (cbrt.f64 re)) (*.f64 (sqrt.f64 re) (cbrt.f64 re)))))))))
✓	50.8b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 re 1 (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 re))) (.f64 (sqrt.f64 re) (cbrt.f64 re)) (.f64 (sqrt.f64 (cbrt.f64 re)) (*.f64 (sqrt.f64 re) (cbrt.f64 re)))))))))
	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (.f64 0 (.f64 (sqrt.f64 re) (pow.f64 re 1/2))) (fma.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (cbrt.f64 re) (sqrt.f64 re)) (neg.f64 (.f64 (sqrt.f64 re) (pow.f64 re 1/2)))))))))
	52.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (.f64 0 (.f64 (sqrt.f64 re) (pow.f64 re 1/2))) (fma.f64 (cbrt.f64 (.f64 re re)) (cbrt.f64 re) (neg.f64 (.f64 (sqrt.f64 re) (pow.f64 re 1/2)))))))))
	51.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (cbrt.f64 (*.f64 re re)) re)))))
	50.8b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)) (+.f64 (fma.f64 re 1 (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 re))) (.f64 (sqrt.f64 re) (cbrt.f64 re)) (.f64 (sqrt.f64 (cbrt.f64 re)) (*.f64 (sqrt.f64 re) (cbrt.f64 re)))))))))
	34.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (exp.f64 (log.f64 (+.f64 (hypot.f64 re im) re))))))
	61.4b	(.f64 1/2 (log.f64 (exp.f64 (sqrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) 2)))))
	33.5b	(.f64 1/2 (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) 2)))))
	34.0b	(.f64 1/2 (exp.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) 2)))))
	41.5b	(.f64 1/2 (cbrt.f64 (pow.f64 (.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)))

Compiler

Compiled 2854 to 1811 computations (36.5% saved)

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(pow.f64 (cbrt.f64 re) 2)
	0.6b	(cbrt.f64 re)
	15.6b	(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re))
	59.8b	(fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) 2) re)

Compiler

Compiled 138 to 41 computations (70.3% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))
✓	1.1b	(+.f64 re (hypot.f64 re im))
✓	3.4b	(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1)

Compiler

Compiled 66 to 33 computations (50% saved)

series142.0ms (1.7%)

Counts

3 → 0

Calls

18 calls:

Time	Variable		Point	Expression
12.0ms	im	@	inf	(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1)
0.0ms	im	@	0	(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1)
0.0ms	im	@	0	(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))
0.0ms	re	@	0	(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1)
0.0ms	re	@	-inf	(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1)

Compiler

Compiled 13265 to 10460 computations (21.1% saved)

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

603×	`fma-def_binary64`
477×	`log-prod_binary64`
322×	`pow-prod-down_binary64`
280×	`pow2_binary64`
276×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	43
1	247	31
2	3465	31

Stop Event

1×	node limit

Counts

3 → 200

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))) 1)
(+.f64 re (hypot.f64 re im))
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2))

Outputs

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

simplify101.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

646×	`fma-neg_binary64`
583×	`div-sub_binary64`
347×	`fma-def_binary64`
336×	`distribute-rgt-in_binary64`
307×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	4595
1	640	4271
2	1660	4149
3	6207	4149

Stop Event

1×	node limit

Counts

200 → 146

Calls

Call 1

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

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

localize69.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(-.f64 (hypot.f64 re im) re)
	0.6b	(cbrt.f64 re)
✓	2.7b	(pow.f64 re 2/3)
✓	26.8b	(fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 re 2/3) re)

Compiler

Compiled 97 to 40 computations (58.8% saved)

series63.0ms (0.7%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	re	@	0	(pow.f64 re 2/3)
9.0ms	re	@	-inf	(pow.f64 re 2/3)
6.0ms	re	@	inf	(pow.f64 re 2/3)
1.0ms	re	@	-inf	(fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 re 2/3) re)
1.0ms	re	@	0	(fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 re 2/3) re)

Compiler

Compiled 1945 to 1565 computations (19.5% saved)

rewrite39.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

514×	`pow1_binary64`
501×	`add-sqr-sqrt_binary64`
482×	`add-log-exp_binary64`
481×	`log1p-expm1-u_binary64`
481×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	24
1	146	10
2	1676	10

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

Inputs
(fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 re 2/3) re)
(pow.f64 re 2/3)

Outputs

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

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

32×	`associate-r_binary64`
31×	`associate-l_binary64`
27×	`sqr-pow_binary64`
19×	`fma-def_binary64`
14×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	165
1	193	165
2	731	165

Stop Event

1×

unsound

Counts

40 → 41

Calls

Call 1

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

Outputs
(+.f64 re re)
(-.f64 (+.f64 1 (+.f64 re re)) 1)
(+.f64 re re)
(*.f64 (+.f64 re re) 1)
(+.f64 re re)
(*.f64 1 (+.f64 re re))
(+.f64 re re)
(*.f64 (cbrt.f64 (+.f64 re re)) (pow.f64 (cbrt.f64 (+.f64 re re)) 2))
(+.f64 re re)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re re)) 2) (cbrt.f64 (+.f64 re re)))
(+.f64 re re)
(*.f64 (sqrt.f64 (+.f64 re re)) (sqrt.f64 (+.f64 re re)))
(+.f64 re re)
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 re 3)) (+.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 re re))))
(+.f64 re re)
(/.f64 (-.f64 (.f64 re re) (.f64 re re)) (-.f64 re re))
(+.f64 re re)
(pow.f64 (+.f64 re re) 1)
(+.f64 re re)
(pow.f64 (pow.f64 (+.f64 re re) 3) 1/3)
(+.f64 re re)
(pow.f64 (cbrt.f64 (+.f64 re re)) 3)
(+.f64 re re)
(pow.f64 (sqrt.f64 (+.f64 re re)) 2)
(+.f64 re re)
(sqrt.f64 (pow.f64 (+.f64 re re) 2))
(+.f64 re re)
(log.f64 (exp.f64 (+.f64 re re)))
(+.f64 re re)
(cbrt.f64 (pow.f64 (+.f64 re re) 3))
(+.f64 re re)
(expm1.f64 (log1p.f64 (+.f64 re re)))
(+.f64 re re)
(log1p.f64 (expm1.f64 (+.f64 re re)))
(+.f64 re re)
(exp.f64 (log.f64 (+.f64 re re)))
(+.f64 re re)
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 re re))) 1)
(+.f64 re re)
(*.f64 (cbrt.f64 re) (cbrt.f64 re))
(+.f64 re re)
(.f64 (cbrt.f64 (.f64 re re)) 1)
(+.f64 re re)
(.f64 1 (cbrt.f64 (.f64 re re)))
(+.f64 re re)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) (cbrt.f64 (.f64 re (cbrt.f64 re))))
(+.f64 re re)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) (.f64 (cbrt.f64 (cbrt.f64 re)) (cbrt.f64 re)))
(+.f64 re re)
(.f64 (cbrt.f64 (.f64 re (cbrt.f64 re))) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2))
(+.f64 re re)
(.f64 (pow.f64 re 1/6) (.f64 (pow.f64 re 1/6) (cbrt.f64 re)))
(+.f64 re re)
(*.f64 (sqrt.f64 re) (pow.f64 re 1/6))
(*.f64 (pow.f64 re 1/6) (sqrt.f64 re))
(.f64 -1 (cbrt.f64 (.f64 re re)))
(+.f64 re re)
(.f64 (pow.f64 (cbrt.f64 (.f64 re re)) 2/3) (pow.f64 (cbrt.f64 re) 2/3))
(+.f64 re re)
(.f64 (pow.f64 1 2/3) (cbrt.f64 (.f64 re re)))
(+.f64 re re)
(*.f64 (pow.f64 (sqrt.f64 re) 2/3) (pow.f64 (sqrt.f64 re) 2/3))
(+.f64 re re)
(.f64 (.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2)) (cbrt.f64 (cbrt.f64 re)))
(+.f64 re re)
(neg.f64 (cbrt.f64 (*.f64 re re)))
(+.f64 re re)
(sqrt.f64 (*.f64 re (cbrt.f64 re)))
(+.f64 re re)
(log.f64 (exp.f64 (cbrt.f64 (*.f64 re re))))
(+.f64 re re)
(cbrt.f64 (*.f64 re re))
(+.f64 re re)
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 re re))))
(+.f64 re re)
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 re re))))
(+.f64 re re)
(exp.f64 (*.f64 2/3 (log.f64 re)))
(+.f64 re re)

localize36.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(cbrt.f64 (hypot.f64 re im))
	0.5b	(pow.f64 (cbrt.f64 (hypot.f64 re im)) 2)
	15.4b	(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re))
	27.0b	(fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)

Compiler

Compiled 140 to 41 computations (70.7% saved)

localize137.0ms (1.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (pow.f64 re 1/4) 3)
	0.6b	(cbrt.f64 re)
✓	27.0b	(fma.f64 (.f64 (sqrt.f64 re) (cbrt.f64 re)) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))
✓	27.4b	(fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (*.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))

Compiler

Compiled 326 to 199 computations (39% saved)

series107.0ms (1.2%)

Counts

3 → 0

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	re	@	inf	(fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (*.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))
2.0ms	re	@	-inf	(fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (*.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))
2.0ms	re	@	0	(fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (*.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))
1.0ms	re	@	-inf	(fma.f64 (.f64 (sqrt.f64 re) (cbrt.f64 re)) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))
1.0ms	re	@	inf	(fma.f64 (.f64 (sqrt.f64 re) (cbrt.f64 re)) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))

Compiler

Compiled 6330 to 5365 computations (15.2% saved)

rewrite59.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

931×	`pow1_binary64`
876×	`add-log-exp_binary64`
875×	`log1p-expm1-u_binary64`
875×	`expm1-log1p-u_binary64`
147×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	323	12
2	3894	12

Stop Event

1×	node limit

Counts

3 → 82

Calls

Call 1

Inputs

(fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (*.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))

(fma.f64 (*.f64 (sqrt.f64 re) (cbrt.f64 re)) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (*.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))

(pow.f64 (pow.f64 re 1/4) 3)

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 re 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 re 3/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 re 1/4) (sqrt.f64 re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 re 3/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 re) (pow.f64 re 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 re 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 (pow.f64 re 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 re 1/6) (*.f64 (cbrt.f64 (pow.f64 re 1/4)) (sqrt.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 re 1/8) (*.f64 (pow.f64 re 1/8) (sqrt.f64 re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 re 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 re 3/8) (pow.f64 re 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 re 3/8) (neg.f64 (pow.f64 re 3/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 re) 3/4) (pow.f64 (sqrt.f64 re) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/4) (pow.f64 re 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 re) 2) 3/4) (pow.f64 (cbrt.f64 re) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 re 1/8) 3) (pow.f64 (pow.f64 re 1/8) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 re 3/8)) (pow.f64 re 3/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 re) -1) (pow.f64 re 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 re) (pow.f64 re 1/8)) (pow.f64 re 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 re 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 re 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 re 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 re 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (pow.f64 re 3/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 re 3/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 re 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 re 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 re 3/4)))))))

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

307×	`associate-/r*_binary64`
281×	`associate-/l*_binary64`
219×	`*-commutative_binary64`
208×	`log-prod_binary64`
193×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	421
1	257	416
2	898	416
3	3453	404
4	7817	404

Stop Event

1×	node limit

Counts

82 → 71

Calls

Call 1

Inputs
(+.f64 re re)
(-.f64 re re)
(-.f64 0 (+.f64 re re))
(-.f64 (exp.f64 (log1p.f64 (+.f64 re re))) 1)
(-.f64 (+.f64 re 0) re)
(*.f64 (pow.f64 re 1/4) (+.f64 (pow.f64 re 3/4) (pow.f64 re 3/4)))
(*.f64 (pow.f64 re 3/4) (+.f64 (pow.f64 re 1/4) (pow.f64 re 1/4)))
(*.f64 re 0)
(*.f64 (+.f64 re re) 1)
(*.f64 1 (+.f64 re re))
(*.f64 (cbrt.f64 (+.f64 re re)) (pow.f64 (cbrt.f64 (+.f64 re re)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re re)) 2) (cbrt.f64 (+.f64 re re)))
(*.f64 (sqrt.f64 (+.f64 re re)) (sqrt.f64 (+.f64 re re)))
(*.f64 0 re)
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 re 3)) (+.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 re re))))
(/.f64 (-.f64 (.f64 re re) (.f64 re re)) (+.f64 re re))
(pow.f64 (+.f64 re re) 1)
(pow.f64 (pow.f64 (+.f64 re re) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 re re)) 3)
(pow.f64 (sqrt.f64 (+.f64 re re)) 2)
(sqrt.f64 (pow.f64 (+.f64 re re) 2))
(log.f64 (exp.f64 (+.f64 re re)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 re re))))
(cbrt.f64 (pow.f64 (+.f64 re re) 3))
(expm1.f64 (log1p.f64 (+.f64 re re)))
(log1p.f64 (expm1.f64 (+.f64 re re)))
(exp.f64 (log.f64 (+.f64 re re)))
(+.f64 re re)
(-.f64 re re)
(-.f64 0 (+.f64 re re))
(-.f64 (exp.f64 (log1p.f64 (+.f64 re re))) 1)
(-.f64 (+.f64 re 0) re)
(*.f64 (pow.f64 re 1/4) (+.f64 (pow.f64 re 3/4) (pow.f64 re 3/4)))
(*.f64 (pow.f64 re 3/4) (+.f64 (pow.f64 re 1/4) (pow.f64 re 1/4)))
(*.f64 re 0)
(*.f64 (+.f64 re re) 1)
(*.f64 1 (+.f64 re re))
(*.f64 (cbrt.f64 (+.f64 re re)) (pow.f64 (cbrt.f64 (+.f64 re re)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re re)) 2) (cbrt.f64 (+.f64 re re)))
(*.f64 (sqrt.f64 (+.f64 re re)) (sqrt.f64 (+.f64 re re)))
(*.f64 0 re)
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 re 3)) (+.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 re re))))
(/.f64 (-.f64 (.f64 re re) (.f64 re re)) (+.f64 re re))
(pow.f64 (+.f64 re re) 1)
(pow.f64 (pow.f64 (+.f64 re re) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 re re)) 3)
(pow.f64 (sqrt.f64 (+.f64 re re)) 2)
(sqrt.f64 (pow.f64 (+.f64 re re) 2))
(log.f64 (exp.f64 (+.f64 re re)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 re re))))
(cbrt.f64 (pow.f64 (+.f64 re re) 3))
(expm1.f64 (log1p.f64 (+.f64 re re)))
(log1p.f64 (expm1.f64 (+.f64 re re)))
(exp.f64 (log.f64 (+.f64 re re)))
(-.f64 0 (pow.f64 re 3/4))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 re 3/4))) 1)
(*.f64 (pow.f64 re 1/4) (sqrt.f64 re))
(*.f64 (pow.f64 re 3/4) 1)
(*.f64 (sqrt.f64 re) (pow.f64 re 1/4))
(*.f64 1 (pow.f64 re 3/4))
(*.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 (pow.f64 re 1/4)))
(.f64 (pow.f64 re 1/6) (.f64 (cbrt.f64 (pow.f64 re 1/4)) (sqrt.f64 re)))
(.f64 (pow.f64 re 1/8) (.f64 (pow.f64 re 1/8) (sqrt.f64 re)))
(*.f64 -1 (pow.f64 re 3/4))
(*.f64 (pow.f64 re 3/8) (pow.f64 re 3/8))
(*.f64 (pow.f64 re 3/8) (neg.f64 (pow.f64 re 3/8)))
(*.f64 (pow.f64 (sqrt.f64 re) 3/4) (pow.f64 (sqrt.f64 re) 3/4))
(*.f64 (pow.f64 1 3/4) (pow.f64 re 3/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 re) 2) 3/4) (pow.f64 (cbrt.f64 re) 3/4))
(*.f64 (pow.f64 (pow.f64 re 1/8) 3) (pow.f64 (pow.f64 re 1/8) 3))
(*.f64 (neg.f64 (pow.f64 re 3/8)) (pow.f64 re 3/8))
(.f64 (.f64 (sqrt.f64 re) -1) (pow.f64 re 1/4))
(.f64 (.f64 (sqrt.f64 re) (pow.f64 re 1/8)) (pow.f64 re 1/8))
(neg.f64 (pow.f64 re 3/4))
(sqrt.f64 (pow.f64 re 3/2))
(log.f64 (exp.f64 (pow.f64 re 3/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 re 3/4))))
(log.f64 (/.f64 1 (exp.f64 (pow.f64 re 3/4))))
(cbrt.f64 (pow.f64 (pow.f64 re 3/4) 3))
(expm1.f64 (log1p.f64 (pow.f64 re 3/4)))
(log1p.f64 (expm1.f64 (pow.f64 re 3/4)))
(exp.f64 (log.f64 (pow.f64 re 3/4)))

Outputs
(+.f64 re re)
(-.f64 re re)
0
(-.f64 0 (+.f64 re re))
(neg.f64 (+.f64 re re))
(*.f64 -2 re)
(*.f64 re -2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 re re))) 1)
(+.f64 re re)
(-.f64 (+.f64 re 0) re)
0
(*.f64 (pow.f64 re 1/4) (+.f64 (pow.f64 re 3/4) (pow.f64 re 3/4)))
(.f64 (pow.f64 re 1/4) (.f64 2 (pow.f64 re 3/4)))
(.f64 (pow.f64 re 3/4) (.f64 (pow.f64 re 1/4) 2))
(.f64 (pow.f64 re 1/4) (.f64 (pow.f64 re 3/4) 2))
(*.f64 (pow.f64 re 3/4) (+.f64 (pow.f64 re 1/4) (pow.f64 re 1/4)))
(.f64 (pow.f64 re 1/4) (.f64 2 (pow.f64 re 3/4)))
(.f64 (pow.f64 re 3/4) (.f64 (pow.f64 re 1/4) 2))
(.f64 (pow.f64 re 1/4) (.f64 (pow.f64 re 3/4) 2))
(*.f64 re 0)
0
(*.f64 (+.f64 re re) 1)
(+.f64 re re)
(*.f64 1 (+.f64 re re))
(+.f64 re re)
(*.f64 (cbrt.f64 (+.f64 re re)) (pow.f64 (cbrt.f64 (+.f64 re re)) 2))
(+.f64 re re)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re re)) 2) (cbrt.f64 (+.f64 re re)))
(+.f64 re re)
(*.f64 (sqrt.f64 (+.f64 re re)) (sqrt.f64 (+.f64 re re)))
(+.f64 re re)
(*.f64 0 re)
0
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 re 3)) (+.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 re re))))
(+.f64 re re)
(/.f64 (-.f64 (.f64 re re) (.f64 re re)) (+.f64 re re))
0
(pow.f64 (+.f64 re re) 1)
(+.f64 re re)
(pow.f64 (pow.f64 (+.f64 re re) 3) 1/3)
(+.f64 re re)
(pow.f64 (cbrt.f64 (+.f64 re re)) 3)
(+.f64 re re)
(pow.f64 (sqrt.f64 (+.f64 re re)) 2)
(+.f64 re re)
(sqrt.f64 (pow.f64 (+.f64 re re) 2))
(+.f64 re re)
(log.f64 (exp.f64 (+.f64 re re)))
(+.f64 re re)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 re re))))
(+.f64 re re)
(cbrt.f64 (pow.f64 (+.f64 re re) 3))
(+.f64 re re)
(expm1.f64 (log1p.f64 (+.f64 re re)))
(+.f64 re re)
(log1p.f64 (expm1.f64 (+.f64 re re)))
(+.f64 re re)
(exp.f64 (log.f64 (+.f64 re re)))
(+.f64 re re)
(+.f64 re re)
(-.f64 re re)
0
(-.f64 0 (+.f64 re re))
(neg.f64 (+.f64 re re))
(*.f64 -2 re)
(*.f64 re -2)
(-.f64 (exp.f64 (log1p.f64 (+.f64 re re))) 1)
(+.f64 re re)
(-.f64 (+.f64 re 0) re)
0
(*.f64 (pow.f64 re 1/4) (+.f64 (pow.f64 re 3/4) (pow.f64 re 3/4)))
(.f64 (pow.f64 re 1/4) (.f64 2 (pow.f64 re 3/4)))
(.f64 (pow.f64 re 3/4) (.f64 (pow.f64 re 1/4) 2))
(.f64 (pow.f64 re 1/4) (.f64 (pow.f64 re 3/4) 2))
(*.f64 (pow.f64 re 3/4) (+.f64 (pow.f64 re 1/4) (pow.f64 re 1/4)))
(.f64 (pow.f64 re 1/4) (.f64 2 (pow.f64 re 3/4)))
(.f64 (pow.f64 re 3/4) (.f64 (pow.f64 re 1/4) 2))
(.f64 (pow.f64 re 1/4) (.f64 (pow.f64 re 3/4) 2))
(*.f64 re 0)
0
(*.f64 (+.f64 re re) 1)
(+.f64 re re)
(*.f64 1 (+.f64 re re))
(+.f64 re re)
(*.f64 (cbrt.f64 (+.f64 re re)) (pow.f64 (cbrt.f64 (+.f64 re re)) 2))
(+.f64 re re)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re re)) 2) (cbrt.f64 (+.f64 re re)))
(+.f64 re re)
(*.f64 (sqrt.f64 (+.f64 re re)) (sqrt.f64 (+.f64 re re)))
(+.f64 re re)
(*.f64 0 re)
0
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 re 3)) (+.f64 (.f64 re re) (-.f64 (.f64 re re) (*.f64 re re))))
(+.f64 re re)
(/.f64 (-.f64 (.f64 re re) (.f64 re re)) (+.f64 re re))
0
(pow.f64 (+.f64 re re) 1)
(+.f64 re re)
(pow.f64 (pow.f64 (+.f64 re re) 3) 1/3)
(+.f64 re re)
(pow.f64 (cbrt.f64 (+.f64 re re)) 3)
(+.f64 re re)
(pow.f64 (sqrt.f64 (+.f64 re re)) 2)
(+.f64 re re)
(sqrt.f64 (pow.f64 (+.f64 re re) 2))
(+.f64 re re)
(log.f64 (exp.f64 (+.f64 re re)))
(+.f64 re re)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 re re))))
(+.f64 re re)
(cbrt.f64 (pow.f64 (+.f64 re re) 3))
(+.f64 re re)
(expm1.f64 (log1p.f64 (+.f64 re re)))
(+.f64 re re)
(log1p.f64 (expm1.f64 (+.f64 re re)))
(+.f64 re re)
(exp.f64 (log.f64 (+.f64 re re)))
(+.f64 re re)
(-.f64 0 (pow.f64 re 3/4))
(neg.f64 (pow.f64 re 3/4))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 re 3/4))) 1)
(pow.f64 re 3/4)
(*.f64 (pow.f64 re 1/4) (sqrt.f64 re))
(pow.f64 (pow.f64 re 1/4) 3)
(*.f64 (pow.f64 re 3/4) 1)
(pow.f64 re 3/4)
(*.f64 (sqrt.f64 re) (pow.f64 re 1/4))
(*.f64 (pow.f64 re 1/4) (sqrt.f64 re))
(pow.f64 (pow.f64 re 1/4) 3)
(*.f64 1 (pow.f64 re 3/4))
(pow.f64 re 3/4)
(*.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 (pow.f64 re 1/4)))
(.f64 (pow.f64 re 1/6) (.f64 (cbrt.f64 (pow.f64 re 1/4)) (sqrt.f64 re)))
(.f64 (pow.f64 re 1/6) (.f64 (sqrt.f64 re) (cbrt.f64 (pow.f64 re 1/4))))
(.f64 (cbrt.f64 (pow.f64 re 1/4)) (.f64 (sqrt.f64 re) (pow.f64 re 1/6)))
(.f64 (pow.f64 re 1/8) (.f64 (pow.f64 re 1/8) (sqrt.f64 re)))
(*.f64 (pow.f64 re 1/4) (sqrt.f64 re))
(pow.f64 (pow.f64 re 1/4) 3)
(*.f64 -1 (pow.f64 re 3/4))
(neg.f64 (pow.f64 re 3/4))
(*.f64 (pow.f64 re 3/8) (pow.f64 re 3/8))
(pow.f64 re 3/4)
(*.f64 (pow.f64 re 3/8) (neg.f64 (pow.f64 re 3/8)))
(neg.f64 (pow.f64 re 3/4))
(*.f64 (pow.f64 (sqrt.f64 re) 3/4) (pow.f64 (sqrt.f64 re) 3/4))
(pow.f64 (sqrt.f64 re) 3/2)
(*.f64 (pow.f64 1 3/4) (pow.f64 re 3/4))
(pow.f64 re 3/4)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 re) 2) 3/4) (pow.f64 (cbrt.f64 re) 3/4))
(*.f64 (pow.f64 (pow.f64 re 1/8) 3) (pow.f64 (pow.f64 re 1/8) 3))
(*.f64 (pow.f64 re 1/4) (sqrt.f64 re))
(pow.f64 (pow.f64 re 1/4) 3)
(*.f64 (neg.f64 (pow.f64 re 3/8)) (pow.f64 re 3/8))
(neg.f64 (pow.f64 re 3/4))
(.f64 (.f64 (sqrt.f64 re) -1) (pow.f64 re 1/4))
(.f64 (sqrt.f64 re) (.f64 -1 (pow.f64 re 1/4)))
(*.f64 (sqrt.f64 re) (neg.f64 (pow.f64 re 1/4)))
(*.f64 (pow.f64 re 1/4) (neg.f64 (sqrt.f64 re)))
(neg.f64 (pow.f64 (pow.f64 re 1/4) 3))
(.f64 (.f64 (sqrt.f64 re) (pow.f64 re 1/8)) (pow.f64 re 1/8))
(*.f64 (pow.f64 re 1/4) (sqrt.f64 re))
(pow.f64 (pow.f64 re 1/4) 3)
(neg.f64 (pow.f64 re 3/4))
(sqrt.f64 (pow.f64 re 3/2))
(pow.f64 re 3/4)
(log.f64 (exp.f64 (pow.f64 re 3/4)))
(pow.f64 re 3/4)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 re 3/4))))
(pow.f64 re 3/4)
(log.f64 (/.f64 1 (exp.f64 (pow.f64 re 3/4))))
(neg.f64 (pow.f64 re 3/4))
(cbrt.f64 (pow.f64 (pow.f64 re 3/4) 3))
(pow.f64 re 3/4)
(expm1.f64 (log1p.f64 (pow.f64 re 3/4)))
(pow.f64 re 3/4)
(log1p.f64 (expm1.f64 (pow.f64 re 3/4)))
(pow.f64 re 3/4)
(exp.f64 (log.f64 (pow.f64 re 3/4)))
(pow.f64 re 3/4)

eval439.0ms (5.1%)

Compiler: Compiled 28138 to 14427 computations (48.7% saved)

prune334.0ms (3.9%)

Pruning

60 alts after pruning (46 fresh and 14 done)

	Pruned	Kept	Total
New	800	20	820
Fresh	9	26	35
Picked	0	1	1
Done	1	13	14
Total	810	60	870

Error

12.8b

Counts

870 → 60

Alt Table

Click to see full alt table

Status	Error	Program
	42.9b	(.f64 1/2 (pow.f64 (pow.f64 (.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2) 1/3))
	34.4b	(.f64 1/2 (pow.f64 (pow.f64 (.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 3))
	32.3b	(.f64 1/2 (pow.f64 (cbrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) 2)) 3/2))
	32.5b	(.f64 1/2 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) 2))) 3))
✓	38.6b	(.f64 1/2 (-.f64 (+.f64 1 (sqrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) 2))) 1))
	15.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 1/4) 2) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 3/2) (neg.f64 re)))))
✓	15.7b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 1/4) 2) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re)))))
	31.8b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 1/4) 2) (cbrt.f64 (pow.f64 (hypot.f64 re im) 3/2)) (neg.f64 re)))))
	16.2b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 3) (neg.f64 re)))))
	16.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im)))) (neg.f64 re)))))
✓	16.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im)))) (neg.f64 re)))))
✓	16.2b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)))))
	15.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 3/2) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re)))))
	16.3b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) (cbrt.f64 (hypot.f64 re im)))) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)))))
✓	15.7b	(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re)))))
✓	13.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (-.f64 (hypot.f64 re im) re))))
	51.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 3) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)))))
	51.0b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 4))) (neg.f64 re)) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)))))
✓	51.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)))))
	25.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)) (fma.f64 (cbrt.f64 (*.f64 re re)) (cbrt.f64 re) (neg.f64 re))))))
	51.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)) (+.f64 (fma.f64 (.f64 (sqrt.f64 re) (cbrt.f64 re)) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (*.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
	51.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)) (+.f64 (fma.f64 (cbrt.f64 re) (.f64 (sqrt.f64 (cbrt.f64 re)) (sqrt.f64 re)) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (*.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
	51.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)) (+.f64 (fma.f64 re 1 (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
	51.0b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)) (+.f64 (.f64 0 (.f64 (sqrt.f64 re) (pow.f64 re 1/2))) (fma.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (cbrt.f64 re) (sqrt.f64 re)) (neg.f64 (.f64 (sqrt.f64 re) (pow.f64 re 1/2)))))))))
	54.8b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 4))) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)))))
	32.0b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re)) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 re (cbrt.f64 re)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2)))) (pow.f64 (cbrt.f64 re) 2) re)))))
	25.6b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 re re))) 2) re)))))
✓	15.8b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) 2) re)))))
	16.0b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) (.f64 (cbrt.f64 (cbrt.f64 re)) (cbrt.f64 re))) re)))))
	58.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)))))
✓	31.8b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (hypot.f64 re im) re))))
	15.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 3)) (pow.f64 (cbrt.f64 re) 2) re)))))
✓	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)))))
✓	15.7b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) 2) re)))))
✓	50.7b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 re 2/3) re)))))
	21.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (sqrt.f64 (*.f64 re (cbrt.f64 re))) re)))))
✓	25.4b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (cbrt.f64 (*.f64 re re)) re)))))
	25.6b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (cbrt.f64 (*.f64 re re)) (cbrt.f64 re) (neg.f64 re))))))
	50.8b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (.f64 (sqrt.f64 re) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 3)) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (*.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
	52.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (.f64 (sqrt.f64 re) (sqrt.f64 (cbrt.f64 (.f64 re re)))) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
✓	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (.f64 (sqrt.f64 re) (cbrt.f64 re)) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (*.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (.f64 (sqrt.f64 re) (cbrt.f64 re)) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (.f64 (pow.f64 re 1/4) (.f64 (pow.f64 re 1/8) (*.f64 (pow.f64 re 1/8) (sqrt.f64 re))))))))))
	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (.f64 (sqrt.f64 re) (cbrt.f64 re)) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (sqrt.f64 re) 3/2) (*.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (.f64 (sqrt.f64 re) (cbrt.f64 re)) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) 0)))))
	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (.f64 (sqrt.f64 re) (cbrt.f64 re)) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 re 3/4)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (*.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
	50.8b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (.f64 (sqrt.f64 re) (cbrt.f64 re)) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (sqrt.f64 re)) (cbrt.f64 re)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (sqrt.f64 re))) (cbrt.f64 re) (.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (sqrt.f64 re)) (cbrt.f64 re))))))))
	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (sqrt.f64 re) (sqrt.f64 re) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
	50.8b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (sqrt.f64 re) (sqrt.f64 re) (neg.f64 (.f64 (.f64 (pow.f64 re 1/4) (sqrt.f64 re)) (pow.f64 re 1/4)))) (fma.f64 (neg.f64 (.f64 (pow.f64 re 1/4) (sqrt.f64 re))) (pow.f64 re 1/4) (.f64 (*.f64 (pow.f64 re 1/4) (sqrt.f64 re)) (pow.f64 re 1/4))))))))
	52.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (cbrt.f64 (.f64 re re)) (cbrt.f64 re) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (*.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (cbrt.f64 re) (.f64 (sqrt.f64 (cbrt.f64 re)) (sqrt.f64 re)) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 re))) (.f64 (sqrt.f64 re) (cbrt.f64 re)) (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re)))))))))
	52.0b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (cbrt.f64 re) (cbrt.f64 (.f64 re re)) (.f64 (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (cbrt.f64 re) (sqrt.f64 re))))) (fma.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (neg.f64 (sqrt.f64 re))) (cbrt.f64 re) (.f64 (cbrt.f64 re) (.f64 (sqrt.f64 (cbrt.f64 re)) (sqrt.f64 re)))))))))
	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 re 1 (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 re 1 (neg.f64 (.f64 (.f64 (pow.f64 re 1/4) (sqrt.f64 re)) (pow.f64 re 1/4)))) (fma.f64 (neg.f64 (.f64 (pow.f64 re 1/4) (sqrt.f64 re))) (pow.f64 re 1/4) (.f64 (*.f64 (pow.f64 re 1/4) (sqrt.f64 re)) (pow.f64 re 1/4))))))))
	50.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (.f64 0 (.f64 (sqrt.f64 re) (pow.f64 re 1/2))) (fma.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (cbrt.f64 re) (sqrt.f64 re)) (neg.f64 (.f64 (sqrt.f64 re) (pow.f64 re 1/2)))))))))
	52.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (.f64 0 (.f64 (sqrt.f64 re) (pow.f64 re 1/2))) (fma.f64 (cbrt.f64 (.f64 re re)) (cbrt.f64 re) (neg.f64 (.f64 (sqrt.f64 re) (pow.f64 re 1/2)))))))))
	51.9b	(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (cbrt.f64 (*.f64 re re)) re)))))
	34.1b	(.f64 1/2 (sqrt.f64 (.f64 2 (exp.f64 (log.f64 (+.f64 (hypot.f64 re im) re))))))
	61.4b	(.f64 1/2 (log.f64 (exp.f64 (sqrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) 2)))))
	34.0b	(.f64 1/2 (exp.f64 (.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2)))
	41.5b	(.f64 1/2 (cbrt.f64 (pow.f64 (.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)))

Compiler

Compiled 1957 to 1316 computations (32.8% saved)

regimes309.0ms (3.6%)

Accuracy

Total -49.7b remaining (-380.7%)

Threshold costs -49.7b (-380.7%)

Counts

76 → 1

Calls

Call 1

Inputs
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (hypot.f64 re im) re))))
(.f64 1/2 (sqrt.f64 (.f64 2 (-.f64 (hypot.f64 re im) re))))
(.f64 1/2 (-.f64 (+.f64 1 (sqrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) 2))) 1))
(.f64 1/2 (sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (/.f64 (.f64 re re) (.f64 re 1/2))))))
(.f64 1/2 (cbrt.f64 (pow.f64 (.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2)))
(.f64 1/2 (pow.f64 (cbrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) 2)) 3/2))
(.f64 1/2 (exp.f64 (.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) 2)) 1/2)))
(.f64 1/2 (pow.f64 (pow.f64 (.f64 (+.f64 re (hypot.f64 re im)) 2) 1/6) 3))
(.f64 1/2 (pow.f64 (pow.f64 (.f64 (+.f64 re (hypot.f64 re im)) 2) 1/4) 2))
(.f64 1/2 (pow.f64 (pow.f64 (.f64 (+.f64 re (hypot.f64 re im)) 2) 3/2) 1/3))
(.f64 1/2 (exp.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) 2)))))
(.f64 1/2 (expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) 2)))))
(.f64 1/2 (log.f64 (exp.f64 (sqrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) 2)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (exp.f64 (log.f64 (+.f64 (hypot.f64 re im) re))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (expm1.f64 (log1p.f64 (+.f64 (hypot.f64 re im) re))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 re im) re)) 3))))
(.f64 1/2 (sqrt.f64 (.f64 2 (pow.f64 (sqrt.f64 (+.f64 (hypot.f64 re im) re)) 2))))
(.f64 1/2 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) 2))) 3))
(.f64 1/2 (sqrt.f64 (.f64 2 (pow.f64 (pow.f64 (+.f64 (hypot.f64 re im) re) 3) 1/3))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 re 2/3) re)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (cbrt.f64 (*.f64 re re)) (cbrt.f64 re) (neg.f64 re))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (cbrt.f64 (*.f64 re re)) re)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) 2) re)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (sqrt.f64 (*.f64 re (cbrt.f64 re))) re)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 3/2) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 1/4) 2) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 1/4) 2) (cbrt.f64 (pow.f64 (hypot.f64 re im) 3/2)) (neg.f64 re)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (pow.f64 (hypot.f64 re im) 1/4) 2) (pow.f64 (cbrt.f64 (hypot.f64 re im)) 3/2) (neg.f64 re)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 3)) (pow.f64 (cbrt.f64 re) 2) re)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (cbrt.f64 (*.f64 re re)) re)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 3) (neg.f64 re)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (.f64 0 (.f64 (sqrt.f64 re) (pow.f64 re 1/2))) (fma.f64 (cbrt.f64 (.f64 re re)) (cbrt.f64 re) (neg.f64 (.f64 (sqrt.f64 re) (pow.f64 re 1/2)))))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) 2)) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) 2) re)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)) (fma.f64 (cbrt.f64 (*.f64 re re)) (cbrt.f64 re) (neg.f64 re))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (.f64 (sqrt.f64 re) (cbrt.f64 re)) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) 0)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im)))) (neg.f64 re)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 re re))) 2) re)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (.f64 0 (.f64 (sqrt.f64 re) (pow.f64 re 1/2))) (fma.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (cbrt.f64 re) (sqrt.f64 re)) (neg.f64 (.f64 (sqrt.f64 re) (pow.f64 re 1/2)))))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 3) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2) (.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) (cbrt.f64 (hypot.f64 re im)))) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 re 1 (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 re 1 (neg.f64 (.f64 (.f64 (pow.f64 re 1/4) (sqrt.f64 re)) (pow.f64 re 1/4)))) (fma.f64 (neg.f64 (.f64 (pow.f64 re 1/4) (sqrt.f64 re))) (pow.f64 re 1/4) (.f64 (*.f64 (pow.f64 re 1/4) (sqrt.f64 re)) (pow.f64 re 1/4))))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2) (.f64 (cbrt.f64 (cbrt.f64 re)) (cbrt.f64 re))) re)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 4))) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (sqrt.f64 re) (sqrt.f64 re) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (cbrt.f64 (.f64 re re)) (cbrt.f64 re) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (*.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (sqrt.f64 re) (sqrt.f64 re) (neg.f64 (.f64 (.f64 (pow.f64 re 1/4) (sqrt.f64 re)) (pow.f64 re 1/4)))) (fma.f64 (neg.f64 (.f64 (pow.f64 re 1/4) (sqrt.f64 re))) (pow.f64 re 1/4) (.f64 (*.f64 (pow.f64 re 1/4) (sqrt.f64 re)) (pow.f64 re 1/4))))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (*.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 4))) (neg.f64 re)) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re)) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 re (cbrt.f64 re)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 2)))) (pow.f64 (cbrt.f64 re) 2) re)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 re 1 (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 re))) (.f64 (sqrt.f64 re) (cbrt.f64 re)) (.f64 (sqrt.f64 (cbrt.f64 re)) (*.f64 (sqrt.f64 re) (cbrt.f64 re)))))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)) (+.f64 (.f64 0 (.f64 (sqrt.f64 re) (pow.f64 re 1/2))) (fma.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (cbrt.f64 re) (sqrt.f64 re)) (neg.f64 (.f64 (sqrt.f64 re) (pow.f64 re 1/2)))))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (.f64 (sqrt.f64 re) (cbrt.f64 re)) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 re 3/4)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (*.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) 2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im)))) (neg.f64 re)))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (.f64 (sqrt.f64 re) (cbrt.f64 re)) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (sqrt.f64 re) 3/2) (*.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (cbrt.f64 re) (.f64 (sqrt.f64 (cbrt.f64 re)) (sqrt.f64 re)) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (*.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (.f64 (sqrt.f64 re) (cbrt.f64 re)) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (*.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (.f64 (sqrt.f64 re) (cbrt.f64 re)) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (.f64 (pow.f64 re 1/4) (sqrt.f64 re)) (pow.f64 re 1/4)))) (fma.f64 (neg.f64 (.f64 (pow.f64 re 1/4) (sqrt.f64 re))) (pow.f64 re 1/4) (.f64 (.f64 (pow.f64 re 1/4) (sqrt.f64 re)) (pow.f64 re 1/4))))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 re 1 (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re))))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 re)) 3))) (.f64 (sqrt.f64 re) (cbrt.f64 re)) (.f64 (sqrt.f64 (cbrt.f64 re)) (*.f64 (sqrt.f64 re) (cbrt.f64 re)))))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (cbrt.f64 re) (cbrt.f64 (.f64 re re)) (.f64 (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (cbrt.f64 re) (sqrt.f64 re))))) (fma.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (neg.f64 (sqrt.f64 re))) (cbrt.f64 re) (.f64 (cbrt.f64 re) (.f64 (sqrt.f64 (cbrt.f64 re)) (sqrt.f64 re)))))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (cbrt.f64 (.f64 re re)) (cbrt.f64 re) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 re))) (.f64 (sqrt.f64 re) (cbrt.f64 re)) (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re)))))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)) (+.f64 (fma.f64 re 1 (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (.f64 (sqrt.f64 re) (sqrt.f64 (cbrt.f64 (.f64 re re)))) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (.f64 (sqrt.f64 re) (cbrt.f64 re)) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (.f64 (pow.f64 re 1/4) (.f64 (pow.f64 re 1/8) (*.f64 (pow.f64 re 1/8) (sqrt.f64 re))))))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (pow.f64 re 1/4) (.f64 (pow.f64 re 1/4) (sqrt.f64 re)) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 re))) (.f64 (sqrt.f64 re) (cbrt.f64 re)) (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re)))))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re)) (+.f64 (fma.f64 re 1 (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 re))) (.f64 (sqrt.f64 re) (cbrt.f64 re)) (.f64 (sqrt.f64 (cbrt.f64 re)) (*.f64 (sqrt.f64 re) (cbrt.f64 re)))))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (.f64 (sqrt.f64 re) (pow.f64 (cbrt.f64 (cbrt.f64 re)) 3)) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (*.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (cbrt.f64 re) (.f64 (sqrt.f64 (cbrt.f64 re)) (sqrt.f64 re)) (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re))))) (fma.f64 (neg.f64 (sqrt.f64 (cbrt.f64 re))) (.f64 (sqrt.f64 re) (cbrt.f64 re)) (.f64 (sqrt.f64 (cbrt.f64 re)) (.f64 (sqrt.f64 re) (cbrt.f64 re)))))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (fma.f64 (.f64 (sqrt.f64 re) (cbrt.f64 re)) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (sqrt.f64 re)) (cbrt.f64 re)))) (fma.f64 (neg.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (sqrt.f64 re))) (cbrt.f64 re) (.f64 (.f64 (sqrt.f64 (cbrt.f64 re)) (sqrt.f64 re)) (cbrt.f64 re))))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)) (+.f64 (fma.f64 (cbrt.f64 re) (.f64 (sqrt.f64 (cbrt.f64 re)) (sqrt.f64 re)) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (*.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) 2) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re)) (+.f64 (fma.f64 (.f64 (sqrt.f64 re) (cbrt.f64 re)) (sqrt.f64 (cbrt.f64 re)) (neg.f64 (.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3)))) (fma.f64 (neg.f64 (pow.f64 re 1/4)) (pow.f64 (pow.f64 re 1/4) 3) (*.f64 (pow.f64 re 1/4) (pow.f64 (pow.f64 re 1/4) 3))))))))

Outputs
(.f64 1/2 (sqrt.f64 (.f64 2 (-.f64 (hypot.f64 re im) re))))

Calls

7 calls:

48.0ms	(sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
43.0ms	re
41.0ms	(*.f64 im im)
31.0ms	im
22.0ms	(.f64 1/2 (sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))

Results

Error	Segments	Branch
13.1b	1	`re`
13.1b	1	`im`
13.1b	1	`(.f64 1/2 (sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))`
13.1b	1	`(sqrt.f64 (.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
13.1b	1	`(.f64 2 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
13.1b	1	`(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
13.1b	1	`(*.f64 im im)`

Compiler

Compiled 2375 to 1157 computations (51.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	21	30
2	26	30
3	28	30
4	29	30

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 1/2 (sqrt.f64 (.f64 2 (-.f64 (hypot.f64 re im) re))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (hypot.f64 re im) re))))

Outputs
(.f64 1/2 (sqrt.f64 (.f64 2 (-.f64 (hypot.f64 re im) re))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 (hypot.f64 re im) re))))
(.f64 1/2 (sqrt.f64 (.f64 2 (+.f64 re (hypot.f64 re im)))))

Compiler

Compiled 24 to 18 computations (25% saved)

soundness49.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

203×	`fma-def_binary64`
142×	`fma-neg_binary64`
49×	`distribute-rgt-in_binary64`
43×	`cancel-sign-sub-inv_binary64`
28×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	15
1	20	15
2	33	15
3	53	15
4	80	15
5	109	15
6	180	15
7	286	15
8	407	15
9	490	15
10	607	15
11	679	15
12	702	15
13	743	15
14	792	15
15	855	15
16	891	15
17	900	15

Stop Event

1×

saturated

Compiler

Compiled 29 to 21 computations (27.6% saved)

end20.0ms (0.2%)

Compiler: Compiled 22 to 15 computations (31.8% saved)

Iter	Nodes	Cost
0	13	15
1	20	15
2	33	15
3	53	15
4	80	15
5	109	15
6	180	15
7	286	15
8	407	15
9	490	15
10	607	15
11	679	15
12	702	15
13	743	15
14	792	15
15	855	15
16	891	15
17	900	15

Iter	Nodes	Cost
0	13	15
1	20	15
2	33	15
3	53	15
4	80	15
5	109	15
6	180	15
7	286	15
8	407	15
9	490	15
10	607	15
11	679	15
12	702	15
13	743	15
14	792	15
15	855	15
16	891	15
17	900	15

Iter	Nodes	Cost
0	13	15
1	20	15
2	33	15
3	53	15
4	80	15
5	109	15
6	180	15
7	286	15
8	407	15
9	490	15
10	607	15
11	679	15
12	702	15
13	743	15
14	792	15
15	855	15
16	891	15
17	900	15

Iter	Nodes	Cost
0	13	15
1	20	15
2	33	15
3	53	15
4	80	15
5	109	15
6	180	15
7	286	15
8	407	15
9	490	15
10	607	15
11	679	15
12	702	15
13	743	15
14	792	15
15	855	15
16	891	15
17	900	15

Details

analyze178.0ms (2.1%)

sample1.6s (18.7%)

preprocess39.0ms (0.5%)

simplify31.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize18.0ms (0.2%)

series29.0ms (0.3%)

rewrite42.0ms (0.5%)

simplify40.0ms (0.5%)

eval10.0ms (0.1%)

prune7.0ms (0.1%)

localize33.0ms (0.4%)

series66.0ms (0.8%)

rewrite43.0ms (0.5%)

simplify16.0ms (0.2%)

localize25.0ms (0.3%)

series16.0ms (0.2%)

rewrite81.0ms (0.9%)

simplify79.0ms (0.9%)

localize24.0ms (0.3%)

series124.0ms (1.4%)

rewrite52.0ms (0.6%)

simplify39.0ms (0.5%)

localize26.0ms (0.3%)

series472.0ms (5.5%)

rewrite108.0ms (1.3%)

simplify49.0ms (0.6%)

eval219.0ms (2.5%)

prune226.0ms (2.6%)

localize54.0ms (0.6%)

series260.0ms (3%)

rewrite54.0ms (0.6%)

simplify65.0ms (0.8%)

localize13.0ms (0.1%)

series92.0ms (1.1%)

rewrite51.0ms (0.6%)

simplify47.0ms (0.5%)

localize23.0ms (0.3%)

series31.0ms (0.4%)

rewrite40.0ms (0.5%)

simplify14.0ms (0.2%)

localize33.0ms (0.4%)

series958.0ms (11.1%)

rewrite54.0ms (0.6%)

simplify50.0ms (0.6%)

localize49.0ms (0.6%)

series319.0ms (3.7%)

rewrite43.0ms (0.5%)

simplify39.0ms (0.4%)

eval244.0ms (2.8%)

prune284.0ms (3.3%)

localize35.0ms (0.4%)

localize18.0ms (0.2%)

series142.0ms (1.7%)

rewrite73.0ms (0.8%)

simplify101.0ms (1.2%)

localize69.0ms (0.8%)

series63.0ms (0.7%)

rewrite39.0ms (0.5%)

simplify12.0ms (0.1%)

localize36.0ms (0.4%)

localize137.0ms (1.6%)

series107.0ms (1.2%)

rewrite59.0ms (0.7%)

simplify60.0ms (0.7%)

eval439.0ms (5.1%)

prune334.0ms (3.9%)

regimes309.0ms (3.6%)

simplify3.0ms (0%)

soundness49.0ms (0.6%)

end20.0ms (0.2%)

Profiling

Iter	Nodes	Cost
0	13	15
1	20	15
2	33	15
3	53	15
4	80	15
5	109	15
6	180	15
7	286	15
8	407	15
9	490	15
10	607	15
11	679	15
12	702	15
13	743	15
14	792	15
15	855	15
16	891	15
17	900	15

Iter	Nodes	Cost
0	13	15
1	20	15
2	33	15
3	53	15
4	80	15
5	109	15
6	180	15
7	286	15
8	407	15
9	490	15
10	607	15
11	679	15
12	702	15
13	743	15
14	792	15
15	855	15
16	891	15
17	900	15