Details

analyze1.4s (16.3%)

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)

sample1.9s (22.8%)

Results

1.1s	8256×	body	128	valid
824.0ms	6161×	body	128	invalid

Compiler

Compiled 59 to 35 computations (40.7% saved)

simplify7.0ms (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

27.9b

Counts

3 → 2

Alt Table

Status	Error	Program
	30.4b	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))
▶	27.9b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (*.f64 t t)))

Compiler

Compiled 107 to 55 computations (48.6% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	3.1b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (*.f64 t t)))
✓	9.5b	(/.f64 x (*.f64 y y))
✓	21.7b	(/.f64 (.f64 z z) (.f64 t t))

series170.0ms (2%)

Counts

3 → 96

Calls

3 calls:

107.0ms	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (*.f64 t t)))
32.0ms	(/.f64 (.f64 z z) (.f64 t t))
31.0ms	(/.f64 x (*.f64 y y))

rewrite12.0ms (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:

4.0ms	(/.f64 x (*.f64 y y))
4.0ms	(/.f64 (.f64 z z) (.f64 t t))
0.0ms	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (*.f64 t t)))

simplify106.0ms (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

prune76.0ms (0.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	64	11	75
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	66	11	77

Error

0.1b

Counts

77 → 11

Alt Table

Status	Error	Program
	45.7b	(fma.f64 x (/.f64 (sqrt.f64 x) (/.f64 (.f64 y y) (sqrt.f64 x))) (/.f64 (.f64 z z) (*.f64 t t)))
	14.3b	(fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t))))
	21.5b	(fma.f64 x (/.f64 1 (/.f64 y (/.f64 x y))) (/.f64 (.f64 z z) (.f64 t t)))
	21.2b	(fma.f64 x (/.f64 (/.f64 x y) y) (/.f64 (.f64 z z) (.f64 t t)))
▶	0.4b	(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))
	37.0b	(/.f64 (pow.f64 x 2) (pow.f64 y 2))
	24.0b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (/.f64 (.f64 z z) t) t))
	41.8b	(fma.f64 x (.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) (/.f64 (.f64 z z) (*.f64 t t)))
	14.1b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z (/.f64 z t)) t))
	26.0b	(fma.f64 x (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 y (/.f64 (cbrt.f64 x) y))) (/.f64 (.f64 z z) (*.f64 t t)))
	23.8b	(fma.f64 x (/.f64 x (*.f64 y y)) (cbrt.f64 (pow.f64 (/.f64 z t) 6)))

Compiler

Compiled 1836 to 505 computations (72.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 (/.f64 z t) (/.f64 x y))
✓	0.4b	(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))

series341.0ms (4%)

Counts

2 → 96

Calls

2 calls:

287.0ms	(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))
54.0ms	(hypot.f64 (/.f64 z t) (/.f64 x y))

rewrite8.0ms (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)))
3.0ms	(hypot.f64 (/.f64 z t) (/.f64 x y))

simplify73.0ms (0.9%)

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

prune120.0ms (1.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	123	6	129
Fresh	4	6	10
Picked	0	1	1
Done	0	0	0
Total	127	13	140

Error

0.0b

Counts

140 → 13

Alt Table

Status	Error	Program
	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)))
✓	0.4b	(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))
	37.0b	(/.f64 (pow.f64 x 2) (pow.f64 y 2))
	1.1b	(.f64 (.f64 (cbrt.f64 (.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))) (cbrt.f64 (.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y))))) (cbrt.f64 (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))))
	26.0b	(fma.f64 x (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 y (/.f64 (cbrt.f64 x) y))) (/.f64 (.f64 z z) (*.f64 t t)))
	15.6b	(.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (cbrt.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)))))
▶	0.5b	(.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))))
	21.2b	(fma.f64 x (/.f64 (/.f64 x y) y) (/.f64 (.f64 z z) (.f64 t t)))
	30.3b	(cbrt.f64 (.f64 (.f64 (.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y))) (.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))) (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))))
	0.8b	(pow.f64 (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 4) 1)
	41.8b	(fma.f64 x (.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) (/.f64 (.f64 z z) (*.f64 t t)))
	14.3b	(fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t))))
	14.1b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z (/.f64 z t)) t))

Compiler

Compiled 4350 to 1513 computations (65.2% saved)

localize8.0ms (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)))
✓	1.8b	(sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))

series486.0ms (5.7%)

Counts

3 → 96

Calls

3 calls:

286.0ms

(*.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))))

121.0ms

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

78.0ms

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

rewrite17.0ms (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)))

simplify125.0ms (1.5%)

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

prune334.0ms (3.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	282	7	289
Fresh	6	5	11
Picked	1	0	1
Done	0	1	1
Total	289	13	302

Error

0.0b

Counts

302 → 13

Alt Table

Status	Error	Program
	21.2b	(fma.f64 x (/.f64 (/.f64 x y) y) (/.f64 (.f64 z z) (.f64 t t)))
	0.7b	(.f64 (cbrt.f64 (.f64 (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) (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))))
✓	0.4b	(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))
▶	0.6b	(.f64 (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) (hypot.f64 (/.f64 z t) (/.f64 x y)))
	0.8b	(.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (.f64 (*.f64 (fabs.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) (sqrt.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))) (hypot.f64 (/.f64 z t) (/.f64 x y))))
	14.3b	(fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t))))
	14.1b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z (/.f64 z t)) t))
	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)))))
	26.0b	(fma.f64 x (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 y (/.f64 (cbrt.f64 x) y))) (/.f64 (.f64 z z) (*.f64 t t)))
	15.6b	(.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (cbrt.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)))))
	15.6b	(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 3))) (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y))))
	0.6b	(.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (.f64 (sqrt.f64 (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y)))) (sqrt.f64 (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y))))))
	1.2b	(.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (.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))))) (hypot.f64 (/.f64 z t) (/.f64 x y))))

Compiler

Compiled 11825 to 3493 computations (70.5% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 (/.f64 z t) (/.f64 x y))
✓	0.4b	(.f64 (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) (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))))
	1.8b	(sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))

series335.0ms (4%)

Counts

2 → 96

Calls

2 calls:

277.0ms

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

57.0ms

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

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`pow1_binary64`
29×	`add-sqr-sqrt_binary64`
20×	`sqrt-pow1_binary64`
20×	`pow1/2_binary64`
19×	`pow-prod-up_binary64`

Counts

2 → 88

Calls

2 calls:

7.0ms

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

6.0ms

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

simplify101.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

932×	`associate-/l*_binary64`
772×	`associate-/r*_binary64`
231×	`fma-def_binary64`
196×	`unswap-sqr_binary64`
148×	`associate-/r/_binary64`

Counts

184 → 135

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	4447
1	389	3991
2	1520	3774
3	5644	3774

prune328.0ms (3.9%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	319	2	321
Fresh	2	9	11
Picked	0	1	1
Done	0	1	1
Total	321	13	334

Error

0.0b

Counts

334 → 13

Alt Table

Status	Error	Program
	21.2b	(fma.f64 x (/.f64 (/.f64 x y) y) (/.f64 (.f64 z z) (.f64 t t)))
	0.7b	(.f64 (cbrt.f64 (.f64 (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) (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))))
✓	0.4b	(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))
✓	0.6b	(.f64 (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) (hypot.f64 (/.f64 z t) (/.f64 x y)))
	0.8b	(.f64 (.f64 (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) (sqrt.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))) (hypot.f64 (/.f64 z t) (/.f64 x y)))
	30.4b	(+.f64 (/.f64 (pow.f64 z 2) (pow.f64 t 2)) (/.f64 (pow.f64 x 2) (pow.f64 y 2)))
	14.1b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z (/.f64 z t)) t))
	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)))))
	26.0b	(fma.f64 x (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 y (/.f64 (cbrt.f64 x) y))) (/.f64 (.f64 z z) (*.f64 t t)))
	15.6b	(.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (cbrt.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)))))
	0.6b	(.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (.f64 (sqrt.f64 (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y)))) (sqrt.f64 (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y))))))
	14.3b	(fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t))))
	1.2b	(.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (.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))))) (hypot.f64 (/.f64 z t) (/.f64 x y))))

Compiler

Compiled 12300 to 3618 computations (70.6% saved)

regimes2.3s (26.9%)

Accuracy

Total 0.4b remaining (89.4%)

Threshold costs 0.4b (89.4%)

Counts

208 → 1

Compiler

Compiled 65914 to 28889 computations (56.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	9	20

end164.0ms (1.9%)

Compiler: Compiled 453 to 167 computations (63.1% saved)

Details

analyze1.4s (16.3%)

sample1.9s (22.8%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize13.0ms (0.1%)

series170.0ms (2%)

rewrite12.0ms (0.1%)

simplify106.0ms (1.3%)

prune76.0ms (0.9%)

localize7.0ms (0.1%)

series341.0ms (4%)

rewrite8.0ms (0.1%)

simplify73.0ms (0.9%)

prune120.0ms (1.4%)

localize8.0ms (0.1%)

series486.0ms (5.7%)

rewrite17.0ms (0.2%)

simplify125.0ms (1.5%)

prune334.0ms (3.9%)

localize9.0ms (0.1%)

series335.0ms (4%)

rewrite21.0ms (0.2%)

simplify101.0ms (1.2%)

prune328.0ms (3.9%)

regimes2.3s (26.9%)

simplify2.0ms (0%)

end164.0ms (1.9%)

Profiling