Details

analyze1.2s (14.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
14%	83.4%	2.5%	11
18.7%	78.2%	3.1%	12
28.1%	65.5%	6.4%	13
30.7%	59.4%	9.9%	14

Compiler

Compiled 20 to 12 computations (40% saved)

sample64.0ms (0.8%)

Algorithm

1×

intervals

Results

15.0ms	217×	body	128	invalid
13.0ms	256×	body	128	valid

Compiler

Compiled 43 to 27 computations (37.2% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`associate-/l*_binary64`
6×	`associate-*r/_binary64`
6×	`associate-/r/_binary64`
6×	`fma-def_binary64`
4×	`associate-/r*_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	25	20
2	45	20
3	55	20
4	55	20
5	55	20

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

32.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	36.9b	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
▶	32.0b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (*.f64 t t)))

Compiler

Compiled 107 to 55 computations (48.6% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	4.1b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (*.f64 t t)))
✓	12.7b	(/.f64 x (*.f64 y y))
✓	22.3b	(/.f64 (.f64 z z) (.f64 t t))

series206.0ms (2.5%)

Counts

3 → 96

Calls

3 calls:

121.0ms	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (*.f64 t t)))
57.0ms	(/.f64 x (*.f64 y y))
28.0ms	(/.f64 (.f64 z z) (.f64 t t))

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-cbrt-cube_binary64`
20×	`add-exp-log_binary64`
6×	`cbrt-undiv_binary64`
6×	`div-exp_binary64`
5×	`*-un-lft-identity_binary64`

Counts

3 → 56

Calls

3 calls:

5.0ms	(/.f64 (.f64 z z) (.f64 t t))
3.0ms	(/.f64 x (*.f64 y y))
0.0ms	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (*.f64 t t)))

simplify110.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

652×	`times-frac_binary64`
469×	`unswap-sqr_binary64`
438×	`associate-/l*_binary64`
258×	`associate-*l/_binary64`
229×	`associate-/r*_binary64`

Counts

152 → 75

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	106	2182
1	224	1962
2	656	1913
3	2597	1888
4	4392	1885
5	4944	1885
6	4965	1885

prune85.0ms (1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	65	10	75
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	67	10	77

Error

0.2b

Counts

77 → 10

Alt Table

Status	Error	Program
▶	0.5b	(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))
	42.5b	(/.f64 (pow.f64 x 2) (pow.f64 y 2))
	32.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))) (cbrt.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t))))) (cbrt.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (*.f64 t t)))))
	25.9b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 z (/.f64 (.f64 t t) z)))
	19.8b	(fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t))))
	14.3b	(fma.f64 x (/.f64 x (.f64 y y)) (.f64 (/.f64 z t) (/.f64 z t)))
	24.2b	(fma.f64 x (/.f64 1 (/.f64 y (/.f64 x y))) (/.f64 (.f64 z z) (.f64 t t)))
	24.2b	(fma.f64 x (.f64 (/.f64 1 y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
	44.1b	(fma.f64 x (.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) (/.f64 (.f64 z z) (*.f64 t t)))
	19.0b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z (/.f64 z t)) t))

Compiler

Compiled 1850 to 481 computations (74% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 (/.f64 z t) (/.f64 x y))
✓	0.5b	(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))

series349.0ms (4.2%)

Counts

2 → 96

Calls

2 calls:

295.0ms	(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))
53.0ms	(hypot.f64 (/.f64 z t) (/.f64 x y))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`
5×	`hypot-udef_binary64`

Counts

2 → 39

Calls

2 calls:

3.0ms	(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))
0.0ms	(hypot.f64 (/.f64 z t) (/.f64 x y))

simplify84.0ms (1%)

Algorithm

1×	egg-herbie

Rules

928×	`associate-/l*_binary64`
772×	`associate-/r*_binary64`
212×	`fma-def_binary64`
151×	`unswap-sqr_binary64`
148×	`associate-/r/_binary64`

Counts

135 → 87

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	3714
1	342	3389
2	1314	3211
3	5268	3211

prune128.0ms (1.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	122	7	129
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	125	14	139

Error

0.0b

Counts

139 → 14

Alt Table

Status	Error	Program
✓	0.5b	(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))
	42.5b	(/.f64 (pow.f64 x 2) (pow.f64 y 2))
	32.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))) (cbrt.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t))))) (cbrt.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (*.f64 t t)))))
	25.9b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 z (/.f64 (.f64 t t) z)))
	14.9b	(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (cbrt.f64 (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 3)))
	24.2b	(fma.f64 x (.f64 (/.f64 1 y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
	19.8b	(fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t))))
	32.7b	(cbrt.f64 (.f64 (.f64 (.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y))) (.f64 (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y)))))
	1.3b	(.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 4)) (cbrt.f64 (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 4))) (cbrt.f64 (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 4)))
	0.6b	(.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))))
	1.2b	(.f64 (.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (*.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))) (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))
▶	0.6b	(.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y))))
	1.2b	(.f64 (.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) (*.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y))))
	19.0b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z (/.f64 z t)) t))

Compiler

Compiled 4440 to 1533 computations (65.5% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 (/.f64 z t) (/.f64 x y))
✓	0.3b	(.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y))))
✓	0.3b	(*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y)))
✓	0.8b	(sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))

series514.0ms (6.2%)

Counts

3 → 96

Calls

3 calls:

297.0ms

(*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y))))

130.0ms

(*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y)))

86.0ms

(sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`pow1_binary64`
16×	`add-sqr-sqrt_binary64`
15×	`pow-prod-up_binary64`
12×	`associate-l_binary64`
11×	`sqrt-pow1_binary64`

Counts

3 → 78

Calls

3 calls:

7.0ms

(*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y))))

4.0ms

(*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y)))

1.0ms

(sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))

simplify141.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

777×	`fma-def_binary64`
751×	`times-frac_binary64`
417×	`associate-/r*_binary64`
388×	`associate-/l*_binary64`
288×	`associate-*l/_binary64`

Counts

174 → 133

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	198	5187
1	476	4629
2	1384	4233
3	4848	4233
4	5322	4233

prune307.0ms (3.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	284	5	289
Fresh	4	8	12
Picked	1	0	1
Done	0	1	1
Total	289	14	303

Error

0.0b

Counts

303 → 14

Alt Table

Status	Error	Program
	1.1b	(.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) (cbrt.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))) (cbrt.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))) (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y))))
✓	0.5b	(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))
	1.2b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) (cbrt.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))) (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y)))))
	0.7b	(.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 3)) (hypot.f64 (/.f64 z t) (/.f64 x y))))
	14.9b	(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (cbrt.f64 (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 3)))
	24.2b	(fma.f64 x (.f64 (/.f64 1 y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
	0.7b	(.f64 (.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) (sqrt.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))) (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y))))
	19.0b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z (/.f64 z t)) t))
	19.8b	(fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t))))
	32.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))) (cbrt.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t))))) (cbrt.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (*.f64 t t)))))
	1.3b	(.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 4)) (cbrt.f64 (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 4))) (cbrt.f64 (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 4)))
▶	0.6b	(.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))))
	1.2b	(.f64 (.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (*.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))) (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))
	0.8b	(pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 4)

Compiler

Compiled 11843 to 3521 computations (70.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 (/.f64 z t) (/.f64 x y))
✓	0.5b	(.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))))
✓	0.5b	(*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))
	0.8b	(sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))

series377.0ms (4.5%)

Counts

2 → 96

Calls

2 calls:

322.0ms

(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))))

54.0ms

(*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`pow1_binary64`
29×	`add-sqr-sqrt_binary64`
18×	`sqrt-prod_binary64`
15×	`pow-prod-up_binary64`
14×	`sqrt-pow1_binary64`

Counts

2 → 82

Calls

2 calls:

9.0ms

(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))))

5.0ms

(*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))

simplify103.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

928×	`associate-/l*_binary64`
768×	`associate-/r*_binary64`
205×	`fma-def_binary64`
190×	`unswap-sqr_binary64`
148×	`associate-/r/_binary64`

Counts

178 → 135

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	4405
1	379	3871
2	1436	3759
3	5494	3759

prune316.0ms (3.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	320	1	321
Fresh	1	11	12
Picked	0	1	1
Done	0	1	1
Total	321	14	335

Error

0.0b

Counts

335 → 14

Alt Table

Status	Error	Program
	1.1b	(.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) (cbrt.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))) (cbrt.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))) (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y))))
✓	0.5b	(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))
	1.2b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) (cbrt.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))) (.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y)))))
	0.7b	(.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 3)) (hypot.f64 (/.f64 z t) (/.f64 x y))))
	14.9b	(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (cbrt.f64 (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 3)))
	24.2b	(fma.f64 x (.f64 (/.f64 1 y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
	0.7b	(.f64 (.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) (sqrt.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))) (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y))))
	19.0b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z (/.f64 z t)) t))
	0.7b	(.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (cbrt.f64 (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 3))))
	19.8b	(fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t))))
	1.3b	(.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 4)) (cbrt.f64 (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 4))) (cbrt.f64 (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 4)))
✓	0.6b	(.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))))
	1.2b	(.f64 (.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (*.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))) (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))
	0.8b	(pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 4)

Compiler

Compiled 12289 to 3634 computations (70.4% saved)

regimes2.4s (29%)

Accuracy

Total 0.4b remaining (90.1%)

Threshold costs 0.4b (90.1%)

Counts

199 → 1

Compiler

Compiled 62817 to 27851 computations (55.7% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	11	22
2	11	22

end0.0ms (0%)

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

sample1.8s (21.7%)

Algorithm

1×

intervals

Results

501.0ms	8000×	body	128	valid
368.0ms	6003×	body	128	invalid

Compiler

Compiled 464 to 190 computations (59.1% saved)

Details

analyze1.2s (14.5%)

sample64.0ms (0.8%)

simplify9.0ms (0.1%)

prune3.0ms (0%)

localize9.0ms (0.1%)

series206.0ms (2.5%)

rewrite11.0ms (0.1%)

simplify110.0ms (1.3%)

prune85.0ms (1%)

localize8.0ms (0.1%)

series349.0ms (4.2%)

rewrite5.0ms (0.1%)

simplify84.0ms (1%)

prune128.0ms (1.5%)

localize12.0ms (0.1%)

series514.0ms (6.2%)

rewrite18.0ms (0.2%)

simplify141.0ms (1.7%)

prune307.0ms (3.7%)

localize12.0ms (0.1%)

series377.0ms (4.5%)

rewrite23.0ms (0.3%)

simplify103.0ms (1.2%)

prune316.0ms (3.8%)

regimes2.4s (29%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.8s (21.7%)

Profiling