Details

analyze113.0ms (1.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
46.8%	53.1%	0.1%	6
70.2%	29.7%	0.1%	7
76.5%	23.4%	0.1%	8
83.5%	16.4%	0.1%	9
87%	12.9%	0.1%	10
91.1%	8.8%	0.1%	11
93.2%	6.7%	0.1%	12
95.4%	4.5%	0.1%	13
96.5%	3.4%	0.1%	14

Compiler

Compiled 20 to 10 computations (50% saved)

sample910.0ms (10.9%)

Symmetry

(sort x y)

Results

790.0ms

8256×

body

128

valid

Compiler

Compiled 59 to 29 computations (50.8% saved)

simplify137.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

985×	`associate-/l*_binary64`
659×	`distribute-lft-out_binary64`
601×	`*-commutative_binary64`
469×	`distribute-rgt-out_binary64`
356×	`fma-def_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	39	25
2	135	23
3	474	23
4	1536	23
5	2122	23
6	2589	23
7	2567	23
8	2620	23
9	2677	23
10	2770	23
11	3956	23
12	4088	23
13	4454	23
14	4983	23
15	4968	23
16	4961	23

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

19.7b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	19.7b	(/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))
	19.7b	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

Compiler

Compiled 109 to 47 computations (56.9% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))
✓	0.0b	(pow.f64 (+.f64 x y) 3)
✓	19.5b	(/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))

series60.0ms (0.7%)

Counts

3 → 72

Calls

3 calls:

44.0ms	(/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))
9.0ms	(fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))
7.0ms	(pow.f64 (+.f64 x y) 3)

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
8×	`add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64`

Counts

3 → 62

Calls

3 calls:

4.0ms	(pow.f64 (+.f64 x y) 3)
3.0ms	(/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))
0.0ms	(fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))

simplify145.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

326×	`fma-def_binary64`
301×	`times-frac_binary64`
297×	`associate-+r+_binary64`
257×	`associate-/l*_binary64`
223×	`+-commutative_binary64`

Counts

134 → 162

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	347	4819
1	1047	4272
2	4702	4260
3	4981	4260
4	4996	4260
5	4981	4260

prune195.0ms (2.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	152	10	162
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	154	10	164

Error

3.9b

Counts

164 → 10

Alt Table

Status	Error	Program
	54.9b	(/.f64 (.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (/.f64 (pow.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 3)) 3) (pow.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) 3))))
	33.4b	(*.f64 (/.f64 x (hypot.f64 (+.f64 y x) (pow.f64 (+.f64 y x) 3/2))) (/.f64 y (hypot.f64 (+.f64 y x) (pow.f64 (+.f64 y x) 3/2))))
	13.2b	(/.f64 x (/.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) y))
	32.2b	(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))) (/.f64 y (sqrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))
	39.4b	(/.f64 x (pow.f64 y 2))
▶	11.8b	(.f64 (/.f64 x (.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))) (/.f64 y (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))
	38.8b	(/.f64 y (pow.f64 x 2))
	12.9b	(*.f64 (/.f64 x 1) (/.f64 y (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))
	19.7b	(/.f64 (*.f64 y x) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))
	29.5b	(cbrt.f64 (.f64 (.f64 (/.f64 (.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (/.f64 (.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))) (/.f64 (*.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))

Compiler

Compiled 6175 to 3236 computations (47.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))
✓	0.2b	(.f64 (/.f64 x (.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))) (/.f64 y (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))
✓	14.6b	(/.f64 x (*.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))
✓	37.3b	(cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))

series1.3s (15.9%)

Counts

4 → 96

Calls

4 calls:

1.1s	(/.f64 x (*.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))
103.0ms	(*.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))
53.0ms	(cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))
44.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))) (/.f64 y (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))

rewrite38.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64`
32×	`add-exp-log_binary64`
31×	`times-frac_binary64`
30×	`*-un-lft-identity_binary64`
30×	`cbrt-prod_binary64`

Counts

4 → 139

Calls

4 calls:

10.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))) (/.f64 y (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))
4.0ms	(*.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))
4.0ms	(/.f64 x (*.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))
1.0ms	(cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))

simplify210.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

693×	`*-commutative_binary64`
391×	`fma-def_binary64`
375×	`associate-+r+_binary64`
230×	`associate-l_binary64`
228×	`associate-r_binary64`

Counts

235 → 294

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1626	23365
1	5004	23365

prune918.0ms (10.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	400	2	402
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	403	9	412

Error

3.9b

Counts

412 → 9

Alt Table

Status	Error	Program
	54.9b	(/.f64 (.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (/.f64 (pow.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 3)) 3) (pow.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) 3))))
	33.4b	(*.f64 (/.f64 x (hypot.f64 (+.f64 y x) (pow.f64 (+.f64 y x) 3/2))) (/.f64 y (hypot.f64 (+.f64 y x) (pow.f64 (+.f64 y x) 3/2))))
	45.2b	(.f64 (/.f64 x (.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))) (/.f64 y (fma.f64 (.f64 (.f64 y y) x) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 y 3) (.f64 y y)) 2))) (+.f64 (cbrt.f64 (+.f64 (pow.f64 y 3) (.f64 y y))) (.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 y 3) (.f64 y y)) 2))) (.f64 y x)))))))
	39.4b	(/.f64 x (pow.f64 y 2))
▶	11.9b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))) (/.f64 y (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))))
	38.8b	(/.f64 y (pow.f64 x 2))
	12.9b	(*.f64 (/.f64 x 1) (/.f64 y (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))
	19.7b	(/.f64 (*.f64 y x) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))
	32.2b	(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))) (/.f64 y (sqrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))

Compiler

Compiled 43326 to 26127 computations (39.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))
✓	0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
✓	0.6b	(cbrt.f64 x)
	37.3b	(cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))

series248.0ms (3%)

Counts

3 → 48

Calls

3 calls:

183.0ms	(/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))
33.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
31.0ms	(cbrt.f64 x)

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`cbrt-prod_binary64`
48×	`add-sqr-sqrt_binary64`
40×	`*-un-lft-identity_binary64`
40×	`add-cube-cbrt_binary64`
36×	`times-frac_binary64`

Counts

3 → 117

Calls

3 calls:

4.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
3.0ms	(/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))
1.0ms	(cbrt.f64 x)

simplify142.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

650×	`times-frac_binary64`
645×	`fma-def_binary64`
243×	`*-commutative_binary64`
163×	`+-commutative_binary64`
156×	`sqr-pow_binary64`

Counts

165 → 198

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	789	10188
1	2382	9332
2	4941	9332

prune731.0ms (8.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	394	0	394
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	394	9	403

Error

3.9b

Counts

403 → 9

Alt Table

Status	Error	Program
	54.9b	(/.f64 (.f64 x y) (fma.f64 (+.f64 x y) (+.f64 x y) (/.f64 (pow.f64 (+.f64 (pow.f64 y 3) (pow.f64 x 3)) 3) (pow.f64 (fma.f64 y (-.f64 y x) (.f64 x x)) 3))))
	33.4b	(*.f64 (/.f64 x (hypot.f64 (+.f64 y x) (pow.f64 (+.f64 y x) 3/2))) (/.f64 y (hypot.f64 (+.f64 y x) (pow.f64 (+.f64 y x) 3/2))))
	45.2b	(.f64 (/.f64 x (.f64 (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))) (/.f64 y (fma.f64 (.f64 (.f64 y y) x) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 y 3) (.f64 y y)) 2))) (+.f64 (cbrt.f64 (+.f64 (pow.f64 y 3) (.f64 y y))) (.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (pow.f64 y 3) (.f64 y y)) 2))) (.f64 y x)))))))
	39.4b	(/.f64 x (pow.f64 y 2))
✓	11.9b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))) (/.f64 y (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))))
	38.8b	(/.f64 y (pow.f64 x 2))
▶	12.9b	(*.f64 (/.f64 x 1) (/.f64 y (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))
	19.7b	(/.f64 (*.f64 y x) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))
	32.2b	(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))) (/.f64 y (sqrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))

Compiler

Compiled 39030 to 20916 computations (46.4% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))
	0.0b	(pow.f64 (+.f64 x y) 3)
✓	6.6b	(*.f64 (/.f64 x 1) (/.f64 y (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))
✓	8.9b	(/.f64 y (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))

series89.0ms (1.1%)

Counts

2 → 48

Calls

2 calls:

48.0ms	(*.f64 (/.f64 x 1) (/.f64 y (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))
41.0ms	(/.f64 y (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64`
34×	`times-frac_binary64`
26×	`*-un-lft-identity_binary64`
24×	`add-cube-cbrt_binary64`
21×	`add-exp-log_binary64`

Counts

2 → 85

Calls

2 calls:

8.0ms	(*.f64 (/.f64 x 1) (/.f64 y (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))
2.0ms	(/.f64 y (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))

simplify102.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

428×	`times-frac_binary64`
391×	`associate-/l*_binary64`
391×	`fma-def_binary64`
316×	`associate-/r*_binary64`
246×	`associate-r_binary64`

Counts

133 → 207

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	486	7311
1	1473	6634
2	4981	6634

prune438.0ms (5.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	294	3	297
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	296	10	306

Error

3.9b

Counts

306 → 10

Alt Table

Status	Error	Program
	24.9b	(*.f64 (/.f64 x 1) (/.f64 (sqrt.f64 y) (/.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)) (sqrt.f64 y))))
✓	12.9b	(*.f64 (/.f64 x 1) (/.f64 y (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))
	39.4b	(/.f64 x (pow.f64 y 2))
✓	11.9b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))) (*.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))) (/.f64 y (cbrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3))))))
	38.8b	(/.f64 y (pow.f64 x 2))
	33.4b	(*.f64 (/.f64 x (hypot.f64 (+.f64 y x) (pow.f64 (+.f64 y x) 3/2))) (/.f64 y (hypot.f64 (+.f64 y x) (pow.f64 (+.f64 y x) 3/2))))
	19.7b	(/.f64 (*.f64 y x) (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))
	32.2b	(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))) (/.f64 y (sqrt.f64 (fma.f64 (+.f64 x y) (+.f64 x y) (pow.f64 (+.f64 x y) 3)))))
	48.9b	(.f64 (.f64 (/.f64 (sqrt.f64 y) (hypot.f64 (+.f64 y x) (pow.f64 (+.f64 y x) 3/2))) (sqrt.f64 x)) (*.f64 (/.f64 (sqrt.f64 y) (hypot.f64 (+.f64 y x) (pow.f64 (+.f64 y x) 3/2))) (sqrt.f64 x)))
	34.2b	(.f64 (/.f64 x 1) (.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (hypot.f64 (+.f64 y x) (pow.f64 (+.f64 y x) 3/2))) (/.f64 (cbrt.f64 y) (hypot.f64 (+.f64 y x) (pow.f64 (+.f64 y x) 3/2)))))

Compiler

Compiled 11933 to 6576 computations (44.9% saved)

regimes2.1s (25.2%)

Accuracy

Total 2.2b remaining (31.8%)

Threshold costs 0b (0%)

Counts

319 → 3

Compiler

Compiled 38300 to 19085 computations (50.2% saved)

bsearch61.0ms (0.7%)

Steps

Iters	Range		Point
7	-5.651877044107382e-146	-2.1632485108676596e-147	-2.1861370762499374e-147
10	-8.844370029575171e+117	-1.6303053419079611e+100	-4.9961300774504924e+103

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	123
1	36	123
2	35	123

end310.0ms (3.7%)

Compiler: Compiled 595 to 277 computations (53.4% saved)

Details

analyze113.0ms (1.4%)

sample910.0ms (10.9%)

simplify137.0ms (1.6%)

prune3.0ms (0%)

localize7.0ms (0.1%)

series60.0ms (0.7%)

rewrite10.0ms (0.1%)

simplify145.0ms (1.7%)

prune195.0ms (2.3%)

localize10.0ms (0.1%)

series1.3s (15.9%)

rewrite38.0ms (0.5%)

simplify210.0ms (2.5%)

prune918.0ms (10.9%)

localize14.0ms (0.2%)

series248.0ms (3%)

rewrite18.0ms (0.2%)

simplify142.0ms (1.7%)

prune731.0ms (8.7%)

localize8.0ms (0.1%)

series89.0ms (1.1%)

rewrite18.0ms (0.2%)

simplify102.0ms (1.2%)

prune438.0ms (5.2%)

regimes2.1s (25.2%)

bsearch61.0ms (0.7%)

simplify4.0ms (0.1%)

end310.0ms (3.7%)

Profiling