Details

analyze4.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	56.2%	43.8%	0
0%	56.2%	43.8%	1
0%	56.2%	43.8%	2
42.1%	14%	43.8%	3
42.1%	14%	43.8%	4
52.7%	3.5%	43.8%	5
56.2%	0%	43.8%	6

Compiler

Compiled 42 to 29 computations (31% saved)

sample32.0ms (0.1%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 77 to 55 computations (28.6% saved)

simplify330.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (229.0ms)

Iter	Nodes	Cost
0	5023	37

prune7.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

1.7b

Counts

2 → 2

Compiler

Compiled 85 to 60 computations (29.4% saved)

localize13.0ms (0%)

Local error

Found 8 expressions with local error:

10.2b	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
8.3b	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
0.1b	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
0.0b	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))
0.0b	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))
0.1b	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
8.3b	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
10.2b	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))

rewrite112.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

77×	`*-un-lft-identity_binary64_1442`
34×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `distribute-lft-out_binary64_1393`
24×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
21×	`associate-r_binary64_1382` `add-sqr-sqrt_binary64_1464`
18×	`associate-/r/_binary64_1388`
16×	`frac-times_binary64_1452`
15×	`add-cube-cbrt_binary64_1477`
14×	`times-frac_binary64_1448`
13×	`pow1_binary64_1503`
11×	`swap-sqr_binary64_1409`
10×	`cbrt-undiv_binary64_1476` `cbrt-unprod_binary64_1475` `prod-exp_binary64_1491` `associate-*l/_binary64_1385` `div-exp_binary64_1493`
9×	`associate-l_binary64_1383`
8×	`associate-*r/_binary64_1384`
7×	`associate-/l/_binary64_1389`
6×	`associate-/r*_binary64_1386`
5×	`associate-/l*_binary64_1387`
4×	`add-log-exp_binary64_1481`
3×	`div-inv_binary64_1439` `unswap-sqr_binary64_1410`
2×	`clear-num_binary64_1441` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `frac-2neg_binary64_1453`
1×	`pow2_binary64_1523` `pow-plus_binary64_1505` `pow-sqr_binary64_1415` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `pow-prod-up_binary64_1512`

Counts

4 → 158

Calls

8 calls:

29.0ms	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
27.0ms	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
22.0ms	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
16.0ms	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))
0.0ms	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))

series2.3s (7.8%)

Counts

4 → 89

Calls

4 calls:

1.2s	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
567.0ms	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
418.0ms	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
118.0ms	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 8796 to 7098 computations (19.3% saved)

simplify135.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

247 → 247

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5352	14087

prune824.0ms (2.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	239	8	247
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	241	8	249

Error

0.0b

Counts

249 → 8

Compiler

Compiled 12667 to 8247 computations (34.9% saved)

localize13.0ms (0%)

Local error

Found 8 expressions with local error:

0.1b	(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
0.0b	(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
0.0b	(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2))
0.0b	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))
0.0b	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))
0.0b	(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2))
0.0b	(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
0.1b	(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))

rewrite114.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

192×	`*-un-lft-identity_binary64_1442`
89×	`times-frac_binary64_1448`
82×	`distribute-lft-out_binary64_1393`
60×	`add-sqr-sqrt_binary64_1464`
48×	`add-cube-cbrt_binary64_1477`
38×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
26×	`associate-r_binary64_1382` `associate-l_binary64_1383`
15×	`cbrt-undiv_binary64_1476` `associate-/r*_binary64_1386` `div-exp_binary64_1493`
10×	`associate-/r/_binary64_1388`
9×	`associate-/l*_binary64_1387`
8×	`cbrt-unprod_binary64_1475` `prod-exp_binary64_1491`
7×	`associate-/l/_binary64_1389` `flip3-+_binary64_1445` `flip-+_binary64_1416`
6×	`pow1_binary64_1503`
5×	`div-inv_binary64_1439`
4×	`add-log-exp_binary64_1481` `unswap-sqr_binary64_1410`
3×	`clear-num_binary64_1441` `frac-2neg_binary64_1453`
2×	`associate-r/_binary64_1384` `frac-times_binary64_1452` `associate-l/_binary64_1385`
1×	`pow-prod-down_binary64_1513` `*-commutative_binary64_1373`

Counts

4 → 202

Calls

8 calls:

41.0ms	(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
29.0ms	(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
11.0ms	(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2))
10.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))
0.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))

series2.1s (7.1%)

Counts

4 → 95

Calls

4 calls:

1.2s	(/.f64 (*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
555.0ms	(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
169.0ms	(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2))
169.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 8768 to 6991 computations (20.3% saved)

simplify147.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

297 → 297

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5088	15254

prune914.0ms (3.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	296	1	297
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	297	8	305

Error

0.0b

Counts

305 → 8

Compiler

Compiled 14448 to 9307 computations (35.6% saved)

localize20.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.1b	(/.f64 (.f64 (.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
0.1b	(/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))
0.1b	(/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 (+.f64 alpha beta) 2))
0.1b	(*.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 (+.f64 alpha beta) 2)))
0.1b	(/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 (+.f64 alpha beta) 2))
0.1b	(*.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 (+.f64 alpha beta) 2)))
0.1b	(/.f64 (.f64 (.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
0.1b	(.f64 (.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2)))

rewrite160.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

217×	`*-un-lft-identity_binary64_1442`
112×	`times-frac_binary64_1448`
89×	`distribute-lft-out_binary64_1393`
82×	`associate-r_binary64_1382`
71×	`add-sqr-sqrt_binary64_1464`
65×	`sqrt-prod_binary64_1458`
63×	`add-cube-cbrt_binary64_1477`
61×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
22×	`cbrt-unprod_binary64_1475` `prod-exp_binary64_1491`
20×	`frac-times_binary64_1452` `associate-*l/_binary64_1385`
19×	`cbrt-undiv_binary64_1476` `div-exp_binary64_1493`
15×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
13×	`associate-/l/_binary64_1389`
11×	`pow1_binary64_1503`
10×	`associate-/r*_binary64_1386`
8×	`associate-/r/_binary64_1388` `associate-/l*_binary64_1387`
7×	`associate-*r/_binary64_1384`
5×	`associate-l_binary64_1383`
4×	`div-inv_binary64_1439` `pow-prod-down_binary64_1513` `add-log-exp_binary64_1481`
3×	`unswap-sqr_binary64_1410`
2×	`clear-num_binary64_1441` `*-commutative_binary64_1373` `sqrt-div_binary64_1459` `frac-2neg_binary64_1453`

Counts

4 → 252

Calls

8 calls:

41.0ms	(/.f64 (.f64 (.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
38.0ms	(.f64 (.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2)))
33.0ms	(*.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 (+.f64 alpha beta) 2)))
13.0ms	(/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 (+.f64 alpha beta) 2))
0.0ms	(*.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 (+.f64 alpha beta) 2)))

series2.6s (8.8%)

Counts

4 → 83

Calls

4 calls:

1.5s	(/.f64 (.f64 (.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
668.0ms	(.f64 (.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 (+.f64 alpha beta) 2))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2)))
249.0ms	(*.f64 (+.f64 alpha 1) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 (+.f64 alpha beta) 2)))
185.0ms	(/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 9272 to 7406 computations (20.1% saved)

simplify156.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

335 → 335

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5184	16438

prune1.3s (4.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	334	1	335
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	335	8	343

Error

Counts

343 → 8

Compiler

Compiled 16688 to 11262 computations (32.5% saved)

localize19.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.0b	(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2))
0.0b	(/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2))
0.0b	(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2))
0.0b	(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2))
0.1b	(/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
0.2b	(.f64 (sqrt.f64 (/.f64 (.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))))
16.0b	(sqrt.f64 (/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3))))
16.0b	(sqrt.f64 (/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3))))

rewrite184.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

86×	`*-un-lft-identity_binary64_1442`
84×	`sqrt-prod_binary64_1458`
47×	`times-frac_binary64_1448`
38×	`add-sqr-sqrt_binary64_1464`
36×	`distribute-lft-out_binary64_1393`
24×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
22×	`swap-sqr_binary64_1409` `add-cube-cbrt_binary64_1477`
21×	`pow1_binary64_1503`
14×	`associate-r_binary64_1382` `associate-/r/_binary64_1388` `associate-l_binary64_1383`
10×	`sqrt-pow1_binary64_1460` `pow1/2_binary64_1522`
9×	`cbrt-undiv_binary64_1476` `div-exp_binary64_1493`
7×	`div-inv_binary64_1439` `flip3-+_binary64_1445` `flip-+_binary64_1416`
6×	`sqrt-div_binary64_1459`
5×	`associate-/r*_binary64_1386` `cbrt-unprod_binary64_1475` `prod-exp_binary64_1491` `pow-prod-up_binary64_1512`
4×	`rem-sqrt-square_binary64_1455` `add-log-exp_binary64_1481` `unswap-sqr_binary64_1410`
3×	`associate-/l/_binary64_1389` `pow-prod-down_binary64_1513` `pow-sqr_binary64_1415`
2×	`associate-r/_binary64_1384` `frac-times_binary64_1452` `associate-l/_binary64_1385`
1×	`pow2_binary64_1523` `sqr-abs_binary64_1457` `clear-num_binary64_1441` `associate-/l_binary64_1387` `pow-plus_binary64_1505` `-commutative_binary64_1373` `sqrt-unprod_binary64_1462` `frac-2neg_binary64_1453` `rem-square-sqrt_binary64_1454`

Counts

4 → 163

Calls

8 calls:

72.0ms	(.f64 (sqrt.f64 (/.f64 (.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))))
30.0ms	(/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
27.0ms	(sqrt.f64 (/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3))))
26.0ms	(sqrt.f64 (/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3))))
0.0ms	(/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2))

series11.1s (37.9%)

Counts

4 → 92

Calls

4 calls:

4.4s	(sqrt.f64 (/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3))))
4.3s	(sqrt.f64 (/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3))))
1.2s	(.f64 (sqrt.f64 (/.f64 (.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))))
1.2s	(/.f64 (*.f64 (/.f64 (+.f64 1 beta) (+.f64 (+.f64 alpha beta) 2)) (/.f64 (+.f64 alpha 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))

Compiler

Compiled 30756 to 24828 computations (19.3% saved)

simplify337.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

255 → 255

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4970	41692
1	4970	41692

prune3.3s (11.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	255	0	255
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	255	8	263

Error

Counts

263 → 8

Compiler

Compiled 33305 to 23640 computations (29% saved)

simplify35.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	418	2623
1	418	2623

regimes235.0ms (0.8%)

Compiler: Compiled 3512 to 2502 computations (28.8% saved)

bsearch0.0ms (0%)

regimes59.0ms (0.2%)

Compiler: Compiled 546 to 434 computations (20.5% saved)

bsearch0.0ms (0%)

regimes48.0ms (0.2%)

Compiler: Compiled 296 to 252 computations (14.9% saved)

bsearch22.0ms (0.1%)

Steps

Iters	Range		Point
6	9.717201036953527e+86	4.329071098230475e+87	4.2627346299296735e+87

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes53.0ms (0.2%)

Compiler: Compiled 246 to 216 computations (12.2% saved)

bsearch30.0ms (0.1%)

Steps

Iters	Range		Point
10	462.4097390906135	1.1486927182386765e+21	838592779798.6923

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes56.0ms (0.2%)

Compiler: Compiled 200 to 180 computations (10% saved)

bsearch48.0ms (0.2%)

Steps

Iters	Range		Point
7	3.731307944864912e+71	7.671113919532282e+73	9.692440884075845e+71
8	1.3704218671186034e-64	1.3306723076605711e-61	1.315621273650693e-61

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes38.0ms (0.1%)

Compiler: Compiled 158 to 146 computations (7.6% saved)

bsearch27.0ms (0.1%)

Steps

Iters	Range		Point
9	24367731.584382158	82473478054274.73	45816472080.235504

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes55.0ms (0.2%)

Compiler: Compiled 116 to 112 computations (3.4% saved)

bsearch27.0ms (0.1%)

Steps

Iters	Range		Point
9	24367731.584382158	82473478054274.73	176610707.98778427

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes41.0ms (0.1%)

Compiler: Compiled 60 to 68 computations (-13.3% saved)

bsearch28.0ms (0.1%)

Steps

Iters	Range		Point
10	462.4097390906135	1.1486927182386765e+21	30828809.215161942

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes44.0ms (0.1%)

Compiler: Compiled 38 to 50 computations (-31.6% saved)

bsearch26.0ms (0.1%)

Steps

Iters	Range		Point
10	462.4097390906135	1.1486927182386765e+21	117316696.61084253

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes34.0ms (0.1%)

Compiler: Compiled 24 to 38 computations (-58.3% saved)

bsearch18.0ms (0.1%)

Steps

Iters	Range		Point
6	9.717201036953527e+86	4.329071098230475e+87	3.589968514197575e+87

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes15.0ms (0.1%)

Accuracy

Total 0.1b remaining (94.9%)

Threshold costs 0.1b (94.9%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch14.0ms (0%)

Compiler: Compiled 317 to 235 computations (25.9% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	84	465
1	84	465

end0.0ms (0%)

sample2.3s (7.8%)

Algorithm

1×

intervals

Results

530.0ms	8000×	body	128	valid
146.0ms	8000×	pre	128	true

Compiler

Compiled 2113 to 1513 computations (28.4% saved)

Pareto

0.08514271731185363

Details

analyze4.0ms (0%)

sample32.0ms (0.1%)

simplify330.0ms (1.1%)

prune7.0ms (0%)

localize13.0ms (0%)

rewrite112.0ms (0.4%)

series2.3s (7.8%)

simplify135.0ms (0.5%)

prune824.0ms (2.8%)

localize13.0ms (0%)

rewrite114.0ms (0.4%)

series2.1s (7.1%)

simplify147.0ms (0.5%)

prune914.0ms (3.1%)

localize20.0ms (0.1%)

rewrite160.0ms (0.5%)

series2.6s (8.8%)

simplify156.0ms (0.5%)

prune1.3s (4.3%)

localize19.0ms (0.1%)

rewrite184.0ms (0.6%)

series11.1s (37.9%)

simplify337.0ms (1.1%)

prune3.3s (11.1%)

simplify35.0ms (0.1%)

regimes235.0ms (0.8%)

bsearch0.0ms (0%)

regimes59.0ms (0.2%)

bsearch0.0ms (0%)

regimes48.0ms (0.2%)

bsearch22.0ms (0.1%)

regimes53.0ms (0.2%)

bsearch30.0ms (0.1%)

regimes56.0ms (0.2%)

bsearch48.0ms (0.2%)

regimes38.0ms (0.1%)

bsearch27.0ms (0.1%)

regimes55.0ms (0.2%)

bsearch27.0ms (0.1%)

regimes41.0ms (0.1%)

bsearch28.0ms (0.1%)

regimes44.0ms (0.1%)

bsearch26.0ms (0.1%)

regimes34.0ms (0.1%)

bsearch18.0ms (0.1%)

regimes15.0ms (0.1%)

bsearch14.0ms (0%)

simplify8.0ms (0%)

end0.0ms (0%)

sample2.3s (7.8%)

Profiling