Details

analyze308.0ms (3.6%)

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
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 32 to 20 computations (37.5% saved)

sample165.0ms (1.9%)

Algorithm

1×

intervals

Results

40.0ms

256×

body

128

valid

Compiler

Compiled 65 to 41 computations (36.9% saved)

simplify87.0ms (1%)

Algorithm

1×	egg-herbie

Rules

620×	`fma-def_binary64`
556×	`cancel-sign-sub-inv_binary64`
552×	`unswap-sqr_binary64`
357×	`unsub-neg_binary64`
344×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	57	37
2	168	37
3	492	37
4	1604	33
5	2891	33
6	4309	33
7	5214	33

prune10.0ms (0.1%)

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

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) -1))

Status

Error

Program

0.2b

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a))))) 1)

▶

0.0b

(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (*.f64 a a) (-.f64 1 a) (*.f64 (*.f64 b b) (+.f64 a 3))) -1))

Compiler

Compiled 166 to 104 computations (37.3% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) -1)
✓	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) -1))
✓	0.1b	(fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3)))
✓	0.9b	(.f64 (.f64 b b) (+.f64 a 3))

series141.0ms (1.6%)

Counts

4 → 96

Calls

4 calls:

70.0ms	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) -1))
32.0ms	(fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) -1)
22.0ms	(fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3)))
15.0ms	(.f64 (.f64 b b) (+.f64 a 3))

rewrite32.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
9×	`pow1_binary64`
8×	`add-sqr-sqrt_binary64`

Counts

4 → 68

Calls

4 calls:

12.0ms	(.f64 (.f64 b b) (+.f64 a 3))
8.0ms	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) -1))
1.0ms	(fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3)))
1.0ms	(fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) -1)

simplify167.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

587×	`associate-+l+_binary64`
471×	`distribute-rgt-in_binary64`
461×	`distribute-lft-in_binary64`
383×	`associate--l+_binary64`
273×	`cancel-sign-sub-inv_binary64`

Counts

164 → 167

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	3677
1	474	3305
2	1601	3213
3	5204	3213

prune438.0ms (5.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	164	3	167
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	165	4	169

Error

0.0b

Counts

169 → 4

Alt Table

Status	Error	Program
	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
	11.1b	(/.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (.f64 (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1))) (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1)))
	13.9b	(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 4) 3) (pow.f64 (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (.f64 b b) (+.f64 a 3))) -1) 3)) (+.f64 (.f64 (pow.f64 (hypot.f64 a b) 4) (pow.f64 (hypot.f64 a b) 4)) (-.f64 (.f64 (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (.f64 b b) (+.f64 a 3))) -1) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (.f64 b b) (+.f64 a 3))) -1)) (.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) -1)))))
▶	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (*.f64 b (+.f64 a 3)))) -1))

Compiler

Compiled 5249 to 3124 computations (40.5% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 b (+.f64 a 3))
✓	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (*.f64 b (+.f64 a 3)))) -1))
✓	0.1b	(fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (*.f64 b (+.f64 a 3))))
✓	0.2b	(.f64 b (.f64 b (+.f64 a 3)))

series119.0ms (1.4%)

Counts

4 → 96

Calls

4 calls:

65.0ms	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (*.f64 b (+.f64 a 3)))) -1))
29.0ms	(fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (*.f64 b (+.f64 a 3))))
16.0ms	(.f64 b (.f64 b (+.f64 a 3)))
8.0ms	(*.f64 b (+.f64 a 3))

rewrite40.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
11×	`add-cbrt-cube_binary64`
11×	`add-exp-log_binary64`
11×	`pow1_binary64`

Counts

4 → 83

Calls

4 calls:

15.0ms	(.f64 b (.f64 b (+.f64 a 3)))
9.0ms	(*.f64 b (+.f64 a 3))
8.0ms	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (*.f64 b (+.f64 a 3)))) -1))
1.0ms	(fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (*.f64 b (+.f64 a 3))))

simplify178.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

730×	`distribute-rgt-in_binary64`
715×	`distribute-lft-in_binary64`
255×	`fma-neg_binary64`
213×	`cancel-sign-sub-inv_binary64`
142×	`associate-l_binary64`

Counts

179 → 171

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	3231
1	461	2938
2	1627	2863
3	4830	2851
4	4987	2851

prune548.0ms (6.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	171	4	175

Error

0.0b

Counts

175 → 4

Alt Table

Status	Error	Program
	11.1b	(/.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (.f64 (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1))) (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1)))
	13.9b	(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 4) 3) (pow.f64 (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (.f64 b b) (+.f64 a 3))) -1) 3)) (+.f64 (.f64 (pow.f64 (hypot.f64 a b) 4) (pow.f64 (hypot.f64 a b) 4)) (-.f64 (.f64 (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (.f64 b b) (+.f64 a 3))) -1) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (.f64 b b) (+.f64 a 3))) -1)) (.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) -1)))))
✓	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (*.f64 b (+.f64 a 3)))) -1))
▶	0.1b	(-.f64 (+.f64 (fma.f64 (.f64 a a) 4 (.f64 (.f64 b b) (+.f64 (+.f64 12 (.f64 b b)) (.f64 a (+.f64 4 (.f64 2 a)))))) (pow.f64 a 4)) (fma.f64 (pow.f64 a 3) 4 1))

Compiler

Compiled 5436 to 3266 computations (39.9% saved)

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (fma.f64 (.f64 a a) 4 (.f64 (.f64 b b) (+.f64 (+.f64 12 (.f64 b b)) (.f64 a (+.f64 4 (.f64 2 a)))))) (pow.f64 a 4))
✓	0.0b	(.f64 a (+.f64 4 (.f64 2 a)))
✓	0.0b	(-.f64 (+.f64 (fma.f64 (.f64 a a) 4 (.f64 (.f64 b b) (+.f64 (+.f64 12 (.f64 b b)) (.f64 a (+.f64 4 (.f64 2 a)))))) (pow.f64 a 4)) (fma.f64 (pow.f64 a 3) 4 1))
✓	1.6b	(.f64 (.f64 b b) (+.f64 (+.f64 12 (.f64 b b)) (.f64 a (+.f64 4 (*.f64 2 a)))))

series152.0ms (1.8%)

Counts

4 → 84

Calls

4 calls:

52.0ms	(-.f64 (+.f64 (fma.f64 (.f64 a a) 4 (.f64 (.f64 b b) (+.f64 (+.f64 12 (.f64 b b)) (.f64 a (+.f64 4 (.f64 2 a)))))) (pow.f64 a 4)) (fma.f64 (pow.f64 a 3) 4 1))
44.0ms	(+.f64 (fma.f64 (.f64 a a) 4 (.f64 (.f64 b b) (+.f64 (+.f64 12 (.f64 b b)) (.f64 a (+.f64 4 (.f64 2 a)))))) (pow.f64 a 4))
44.0ms	(.f64 (.f64 b b) (+.f64 (+.f64 12 (.f64 b b)) (.f64 a (+.f64 4 (*.f64 2 a)))))
11.0ms	(.f64 a (+.f64 4 (.f64 2 a)))

rewrite72.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
17×	`add-cube-cbrt_binary64`
12×	`prod-diff_binary64`
12×	`associate-*r/_binary64`

Counts

4 → 109

Calls

4 calls:

17.0ms	(-.f64 (+.f64 (fma.f64 (.f64 a a) 4 (.f64 (.f64 b b) (+.f64 (+.f64 12 (.f64 b b)) (.f64 a (+.f64 4 (.f64 2 a)))))) (pow.f64 a 4)) (fma.f64 (pow.f64 a 3) 4 1))
16.0ms	(.f64 (.f64 b b) (+.f64 (+.f64 12 (.f64 b b)) (.f64 a (+.f64 4 (*.f64 2 a)))))
8.0ms	(.f64 a (+.f64 4 (.f64 2 a)))
7.0ms	(+.f64 (fma.f64 (.f64 a a) 4 (.f64 (.f64 b b) (+.f64 (+.f64 12 (.f64 b b)) (.f64 a (+.f64 4 (.f64 2 a)))))) (pow.f64 a 4))

simplify293.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

455×	`fma-neg_binary64`
364×	`cancel-sign-sub-inv_binary64`
327×	`associate-l_binary64`
295×	`associate-r_binary64`
294×	`fma-def_binary64`

Counts

193 → 217

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	263	6833
1	785	4961
2	3232	4817
3	4729	4811
4	4978	4811

prune821.0ms (9.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	217	0	217
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	217	4	221

Error

0.0b

Counts

221 → 4

Alt Table

Status	Error	Program
▶	11.1b	(/.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (.f64 (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1))) (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1)))
	13.9b	(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 4) 3) (pow.f64 (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (.f64 b b) (+.f64 a 3))) -1) 3)) (+.f64 (.f64 (pow.f64 (hypot.f64 a b) 4) (pow.f64 (hypot.f64 a b) 4)) (-.f64 (.f64 (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (.f64 b b) (+.f64 a 3))) -1) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (.f64 b b) (+.f64 a 3))) -1)) (.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) -1)))))
✓	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (*.f64 b (+.f64 a 3)))) -1))
✓	0.1b	(-.f64 (+.f64 (fma.f64 (.f64 a a) 4 (.f64 (.f64 b b) (+.f64 (+.f64 12 (.f64 b b)) (.f64 a (+.f64 4 (.f64 2 a)))))) (pow.f64 a 4)) (fma.f64 (pow.f64 a 3) 4 1))

Compiler

Compiled 10407 to 6692 computations (35.7% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1))
✓	0.9b	(.f64 (+.f64 3 a) (.f64 b b))
✓	3.8b	(-.f64 (pow.f64 (hypot.f64 a b) 8) (.f64 (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1)))
✓	10.4b	(/.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (.f64 (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1))) (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1)))

series679.0ms (7.9%)

Counts

4 → 96

Calls

4 calls:

568.0ms	(/.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (.f64 (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1))) (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1)))
57.0ms	(-.f64 (pow.f64 (hypot.f64 a b) 8) (.f64 (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1)))
42.0ms	(.f64 (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1))
10.0ms	(.f64 (+.f64 3 a) (.f64 b b))

rewrite61.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`add-sqr-sqrt_binary64`
48×	`difference-of-squares_binary64`
44×	`*-un-lft-identity_binary64`
42×	`times-frac_binary64`
28×	`add-cube-cbrt_binary64`

Counts

4 → 160

Calls

4 calls:

10.0ms	(/.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (.f64 (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1))) (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1)))
6.0ms	(.f64 (+.f64 3 a) (.f64 b b))
4.0ms	(-.f64 (pow.f64 (hypot.f64 a b) 8) (.f64 (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1)))
3.0ms	(.f64 (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1))

simplify345.0ms (4%)

Algorithm

1×	egg-herbie

Rules

583×	`times-frac_binary64`
342×	`+-commutative_binary64`
298×	`fma-def_binary64`
294×	`associate-+r+_binary64`
210×	`*-commutative_binary64`

Counts

256 → 353

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1037	26974
1	3319	26095
2	4986	26095

prune1.6s (18.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	438	1	439
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	439	4	443

Error

Counts

443 → 4

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (+.f64 (fma.f64 (.f64 a a) 4 (.f64 (.f64 b b) (+.f64 (+.f64 12 (.f64 b b)) (.f64 a (+.f64 4 (.f64 2 a)))))) (pow.f64 a 4)) (fma.f64 (pow.f64 a 3) 4 1))
	13.9b	(cbrt.f64 (.f64 (.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (.f64 (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1))) (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1))) (/.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (.f64 (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1))) (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1)))) (/.f64 (-.f64 (pow.f64 (hypot.f64 a b) 8) (.f64 (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (.f64 b b))) (pow.f64 a 3)) 4 -1))) (-.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 (-.f64 (fma.f64 a a (.f64 (+.f64 3 a) (*.f64 b b))) (pow.f64 a 3)) 4 -1)))))
	13.9b	(/.f64 (+.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 4) 3) (pow.f64 (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (.f64 b b) (+.f64 a 3))) -1) 3)) (+.f64 (.f64 (pow.f64 (hypot.f64 a b) 4) (pow.f64 (hypot.f64 a b) 4)) (-.f64 (.f64 (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (.f64 b b) (+.f64 a 3))) -1) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (.f64 b b) (+.f64 a 3))) -1)) (.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 (*.f64 b b) (+.f64 a 3))) -1)))))
✓	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (*.f64 b (+.f64 a 3)))) -1))

Compiler

Compiled 48601 to 31226 computations (35.8% saved)

regimes1.2s (14.2%)

Accuracy

Total 0.0b remaining (66.8%)

Threshold costs 0.0b (66.8%)

Counts

157 → 1

Compiler

Compiled 33715 to 22535 computations (33.2% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`+-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	17	33
1	25	33
2	28	33
3	30	33
4	31	33
5	30	33

end1.0ms (0%)

Compiler: Compiled 25 to 17 computations (32% saved)

sample1.0s (11.9%)

Algorithm

1×

intervals

Results

595.0ms	8000×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 420 to 261 computations (37.9% saved)

Details

analyze308.0ms (3.6%)

sample165.0ms (1.9%)

simplify87.0ms (1%)

prune10.0ms (0.1%)

localize28.0ms (0.3%)

series141.0ms (1.6%)

rewrite32.0ms (0.4%)

simplify167.0ms (1.9%)

prune438.0ms (5.1%)

localize25.0ms (0.3%)

series119.0ms (1.4%)

rewrite40.0ms (0.5%)

simplify178.0ms (2.1%)

prune548.0ms (6.4%)

localize39.0ms (0.4%)

series152.0ms (1.8%)

rewrite72.0ms (0.8%)

simplify293.0ms (3.4%)

prune821.0ms (9.5%)

localize18.0ms (0.2%)

series679.0ms (7.9%)

rewrite61.0ms (0.7%)

simplify345.0ms (4%)

prune1.6s (18.5%)

regimes1.2s (14.2%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.0s (11.9%)

Profiling