Details

analyze1.2s (14%)

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)

sample1.8s (20.3%)

Results

999.0ms	8256×	body	128	valid
747.0ms	6298×	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

30.6b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	30.6b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (*.f64 t t)))
	33.6b	(+.f64 (/.f64 (.f64 x 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
✓	2.4b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (*.f64 t t)))
✓	10.6b	(/.f64 x (*.f64 y y))
✓	23.5b	(/.f64 (.f64 z z) (.f64 t t))

series418.0ms (4.8%)

Counts

3 → 96

Calls

3 calls:

196.0ms	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (*.f64 t t)))
189.0ms	(/.f64 x (*.f64 y y))
32.0ms	(/.f64 (.f64 z z) (.f64 t t))

rewrite10.0ms (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 (.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)))

simplify106.0ms (1.2%)

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

prune109.0ms (1.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	61	14	75
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	63	14	77

Error

0.1b

Counts

77 → 14

Alt Table

Status	Error	Program
	23.2b	(fma.f64 x (.f64 (/.f64 1 y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
	24.7b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 z (/.f64 (.f64 t t) z)))
▶	0.4b	(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))
	30.8b	(fma.f64 x (/.f64 x (.f64 y y)) (.f64 (.f64 (cbrt.f64 (/.f64 (.f64 z z) (.f64 t t))) (cbrt.f64 (/.f64 (.f64 z z) (.f64 t t)))) (cbrt.f64 (/.f64 (.f64 z z) (*.f64 t t)))))
	31.5b	(expm1.f64 (log1p.f64 (fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (*.f64 t t)))))
	32.3b	(fma.f64 x (/.f64 x (*.f64 y y)) (cbrt.f64 (pow.f64 (/.f64 z t) 6)))
	23.2b	(fma.f64 x (/.f64 (/.f64 x y) y) (/.f64 (.f64 z z) (.f64 t t)))
	15.1b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z (/.f64 z t)) t))
	23.2b	(fma.f64 x (/.f64 1 (/.f64 y (/.f64 x y))) (/.f64 (.f64 z z) (.f64 t t)))
	25.2b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (/.f64 (.f64 z z) t) t))
	30.7b	(fma.f64 x (/.f64 1 (/.f64 (.f64 y y) x)) (/.f64 (.f64 z z) (*.f64 t t)))
	16.5b	(fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t))))
	42.8b	(fma.f64 x (.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) (/.f64 (.f64 z z) (*.f64 t t)))
	42.4b	(/.f64 (pow.f64 x 2) (pow.f64 y 2))

Compiler

Compiled 1972 to 573 computations (70.9% saved)

localize6.0ms (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)))

series367.0ms (4.2%)

Counts

2 → 96

Calls

2 calls:

317.0ms	(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))
50.0ms	(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))

simplify292.0ms (3.3%)

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

prune155.0ms (1.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	123	6	129
Fresh	6	7	13
Picked	0	1	1
Done	0	0	0
Total	129	14	143

Error

0.0b

Counts

143 → 14

Alt Table

Status	Error	Program
	23.2b	(fma.f64 x (.f64 (/.f64 1 y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
	24.7b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 z (/.f64 (.f64 t t) z)))
	1.2b	(.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (.f64 (*.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)))))
	1.2b	(.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)))
	33.6b	(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)))))
	23.2b	(fma.f64 x (/.f64 (/.f64 x y) y) (/.f64 (.f64 z z) (.f64 t t)))
	15.1b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z (/.f64 z t)) t))
	16.5b	(fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t))))
	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))))
	42.8b	(fma.f64 x (.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) (/.f64 (.f64 z z) (*.f64 t t)))
▶	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)))))
	25.2b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (/.f64 (.f64 z z) t) t))
	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))))

Compiler

Compiled 4388 to 1529 computations (65.2% saved)

localize11.0ms (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 (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)))))
✓	0.4b	(*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))
✓	1.7b	(sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))

series460.0ms (5.2%)

Counts

3 → 120

Calls

3 calls:

335.0ms

(*.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)))))

73.0ms

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

51.0ms

(*.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

36×	`pow1_binary64`
32×	`add-sqr-sqrt_binary64`
21×	`sqrt-prod_binary64`
15×	`pow-prod-up_binary64`
15×	`sqrt-pow1_binary64`

Counts

3 → 97

Calls

3 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))))

1.0ms

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

simplify123.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

960×	`associate-/r*_binary64`
363×	`fma-def_binary64`
200×	`cancel-sign-sub-inv_binary64`
194×	`unswap-sqr_binary64`
169×	`associate-/r/_binary64`

Counts

217 → 165

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	202	5798
1	520	5228
2	1905	5086
3	5297	5086

prune344.0ms (3.9%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	316	5	321
Fresh	3	9	12
Picked	0	1	1
Done	0	1	1
Total	319	16	335

Error

0.0b

Counts

335 → 16

Alt Table

Status	Error	Program
	23.2b	(fma.f64 x (.f64 (/.f64 1 y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
	24.7b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 z (/.f64 (.f64 t t) z)))
	14.7b	(.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))) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))))
	0.7b	(.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (*.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)))))))
	33.6b	(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)))))
	0.9b	(.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (*.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (sqrt.f64 (cbrt.f64 (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)))
	16.5b	(fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t))))
▶	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))))
	0.8b	(.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) (pow.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) 3)))
✓	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 (hypot.f64 (/.f64 z t) (/.f64 x y)) (.f64 (*.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)))))
	1.2b	(.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (.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)))))))
	23.2b	(fma.f64 x (/.f64 (/.f64 x y) y) (/.f64 (.f64 z z) (.f64 t t)))
	25.2b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (/.f64 (.f64 z z) t) t))
	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))))

Compiler

Compiled 12800 to 3803 computations (70.3% 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))
✓	0.3b	(.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)))
	1.7b	(sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))

series429.0ms (4.9%)

Counts

2 → 72

Calls

2 calls:

314.0ms

(*.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))))

115.0ms

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

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`pow1_binary64`
15×	`pow-prod-up_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`associate-l_binary64`
10×	`sqrt-pow1_binary64`

Counts

2 → 63

Calls

2 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))))

6.0ms

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

simplify104.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

539×	`times-frac_binary64`
479×	`unswap-sqr_binary64`
414×	`associate-l_binary64`
372×	`associate-r_binary64`
266×	`associate-/l*_binary64`

Counts

135 → 103

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	3817
1	339	3280
2	947	2904
3	4129	2814
4	5233	2814

prune307.0ms (3.5%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	286	3	289
Fresh	3	10	13
Picked	1	0	1
Done	0	2	2
Total	290	15	305

Error

0.0b

Counts

305 → 15

Alt Table

Status	Error	Program
	23.2b	(fma.f64 x (.f64 (/.f64 1 y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
	24.7b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 z (/.f64 (.f64 t t) z)))
	0.8b	(.f64 (cbrt.f64 (pow.f64 (sqrt.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))))
	1.2b	(.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (.f64 (*.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)))))
	33.6b	(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)))))
	0.9b	(.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (*.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (sqrt.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))))))
	1.3b	(.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 (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 3) (cbrt.f64 (sqrt.f64 (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)))
	0.8b	(.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) (pow.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) 3)))
✓	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)))))
	0.7b	(.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (*.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)))))))
	17.7b	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y)))
	25.2b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (/.f64 (.f64 z z) t) t))
	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))))
	16.5b	(fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t))))

Compiler

Compiled 11418 to 3343 computations (70.7% saved)

regimes2.3s (26%)

Accuracy

Total 0.4b remaining (91.1%)

Threshold costs 0.4b (91.1%)

Counts

182 → 1

Compiler

Compiled 54829 to 25251 computations (53.9% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	13
1	16	13
2	13	13

end169.0ms (1.9%)

Compiler: Compiled 482 to 185 computations (61.6% saved)

Details

analyze1.2s (14%)

sample1.8s (20.3%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize9.0ms (0.1%)

series418.0ms (4.8%)

rewrite10.0ms (0.1%)

simplify106.0ms (1.2%)

prune109.0ms (1.2%)

localize6.0ms (0.1%)

series367.0ms (4.2%)

rewrite5.0ms (0.1%)

simplify292.0ms (3.3%)

prune155.0ms (1.8%)

localize11.0ms (0.1%)

series460.0ms (5.2%)

rewrite23.0ms (0.3%)

simplify123.0ms (1.4%)

prune344.0ms (3.9%)

localize9.0ms (0.1%)

series429.0ms (4.9%)

rewrite18.0ms (0.2%)

simplify104.0ms (1.2%)

prune307.0ms (3.5%)

regimes2.3s (26%)

simplify2.0ms (0%)

end169.0ms (1.9%)

Profiling