Details

analyze364.0ms (1.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6300	74
0	2	2
1	2	2

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)

sample42.0ms (0.2%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 77 to 55 computations (28.6% saved)

simplify234.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (228.0ms)

Iter	Nodes	Cost
0	5023	37

prune5.0ms (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

0.4b

Counts

2 → 2

Compiler

Compiled 85 to 60 computations (29.4% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))
0.1b	(.f64 (+.f64 alpha 1) (/.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)))
18.0b	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))

rewrite393.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

77×	`*-un-lft-identity_binary64_1442`
34×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `distribute-lft-out_binary64_1393`
24×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
21×	`add-sqr-sqrt_binary64_1464` `associate-r_binary64_1382`
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×	`prod-exp_binary64_1491` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `cbrt-unprod_binary64_1475` `associate-*l/_binary64_1385`
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×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373`
1×	`pow2_binary64_1523` `pow-prod-up_binary64_1512` `pow-plus_binary64_1505` `pow-sqr_binary64_1415` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`

Counts

4 → 158

Calls

4 calls:

31.0ms	(/.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)))
24.0ms	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
17.0ms	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
15.0ms	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 6017 to 3676 computations (38.9% saved)

series2.4s (8.5%)

Error

0.1b

Counts

4 → 72

Calls

4 calls:

1.0s	(/.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)))
472.0ms	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
332.0ms	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
116.0ms	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 14724 to 11706 computations (20.5% saved)

simplify129.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5134	13209

prune792.0ms (2.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	221	9	230
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	223	9	232

Error

Counts

232 → 9

Compiler

Compiled 12258 to 8351 computations (31.9% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

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

rewrite1.5s (5.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

826×	`*-un-lft-identity_binary64_1442`
508×	`times-frac_binary64_1448`
374×	`distribute-lft-out_binary64_1393`
191×	`add-sqr-sqrt_binary64_1464`
182×	`add-cube-cbrt_binary64_1477`
136×	`associate-r_binary64_1382`
34×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
31×	`associate-/l*_binary64_1387`
30×	`associate-/r/_binary64_1388`
20×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
15×	`div-inv_binary64_1439` `associate-/r*_binary64_1386`
14×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476`
8×	`associate-/l/_binary64_1389`
6×	`pow1_binary64_1503` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
4×	`add-log-exp_binary64_1481` `frac-times_binary64_1452` `associate-l/_binary64_1385` `associate-l*_binary64_1383`
3×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `unswap-sqr_binary64_1410`
2×	`associate-*r/_binary64_1384`
1×	`pow-prod-down_binary64_1513` `*-commutative_binary64_1373`

Counts

4 → 422

Calls

4 calls:

54.0ms	(*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 (+.f64 alpha beta) 2)))
34.0ms	(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
20.0ms	(/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 (+.f64 alpha beta) 2))
10.0ms	(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))

Compiler

Compiled 16960 to 11567 computations (31.8% saved)

series2.4s (8.8%)

Error

Counts

4 → 72

Calls

4 calls:

1.0s	(/.f64 (*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
465.0ms	(*.f64 (+.f64 alpha 1) (/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 (+.f64 alpha beta) 2)))
346.0ms	(/.f64 (/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta))) (+.f64 (+.f64 alpha beta) 2))
128.0ms	(/.f64 (+.f64 1 beta) (+.f64 alpha (+.f64 2 beta)))

Compiler

Compiled 15272 to 12092 computations (20.8% saved)

simplify202.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

494 → 494

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5227	22380

prune1.9s (6.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	492	2	494
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	494	9	503

Error

Counts

503 → 9

Compiler

Compiled 22870 to 15873 computations (30.6% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite2.0s (7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

783×	`*-un-lft-identity_binary64_1442`
491×	`times-frac_binary64_1448`
354×	`distribute-lft-out_binary64_1393`
192×	`add-sqr-sqrt_binary64_1464`
174×	`add-cube-cbrt_binary64_1477`
143×	`associate-l_binary64_1383`
52×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `sqrt-div_binary64_1459`
40×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
34×	`frac-times_binary64_1452`
28×	`associate-/r/_binary64_1388`
27×	`associate-/l*_binary64_1387`
24×	`associate-*r/_binary64_1384`
18×	`associate-/l/_binary64_1389`
17×	`div-exp_binary64_1493` `prod-exp_binary64_1491` `cbrt-undiv_binary64_1476` `cbrt-unprod_binary64_1475`
14×	`div-inv_binary64_1439`
11×	`pow1_binary64_1503` `associate-*l/_binary64_1385` `sqrt-prod_binary64_1458`
10×	`associate-/r*_binary64_1386`
8×	`associate-r_binary64_1382`
6×	`unswap-sqr_binary64_1410`
4×	`add-log-exp_binary64_1481` `pow-prod-down_binary64_1513`
2×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `*-commutative_binary64_1373`

Counts

4 → 440

Calls

4 calls:

49.0ms	(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (+.f64 1 alpha)))
43.0ms	(/.f64 (.f64 (sqrt.f64 (+.f64 alpha 1)) (.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (+.f64 1 alpha)))) (+.f64 alpha (+.f64 beta 3)))
41.0ms	(.f64 (sqrt.f64 (+.f64 alpha 1)) (.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (+.f64 1 alpha))))
26.0ms	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 2) alpha))

Compiler

Compiled 20903 to 15338 computations (26.6% saved)

series3.0s (10.8%)

Error

Counts

4 → 72

Calls

4 calls:

1.0s	(/.f64 (.f64 (sqrt.f64 (+.f64 alpha 1)) (.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (+.f64 1 alpha)))) (+.f64 alpha (+.f64 beta 3)))
585.0ms	(*.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (+.f64 1 alpha)))
466.0ms	(.f64 (sqrt.f64 (+.f64 alpha 1)) (.f64 (/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 2) alpha)) (sqrt.f64 (+.f64 1 alpha))))
346.0ms	(/.f64 (/.f64 (+.f64 beta 1) (+.f64 (+.f64 beta 2) alpha)) (+.f64 (+.f64 beta 2) alpha))

Compiler

Compiled 18068 to 14437 computations (20.1% saved)

simplify274.0ms (1%)

Algorithm

1×	egg-herbie

Counts

512 → 512

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4945	27223
1	4945	27223

prune2.7s (9.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	511	1	512
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	512	9	521

Error

Counts

521 → 9

Compiler

Compiled 27802 to 20078 computations (27.8% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite508.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

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-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
26×	`associate-l_binary64_1383` `associate-r_binary64_1382`
15×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `associate-/r*_binary64_1386`
10×	`associate-/r/_binary64_1388`
9×	`associate-/l*_binary64_1387`
8×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
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×	`frac-2neg_binary64_1453` `clear-num_binary64_1441`
2×	`frac-times_binary64_1452` `associate-l/_binary64_1385` `associate-r/_binary64_1384`
1×	`pow-prod-down_binary64_1513` `*-commutative_binary64_1373`

Counts

4 → 202

Calls

4 calls:

37.0ms	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
29.0ms	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
10.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))
10.0ms	(/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta)))

Compiler

Compiled 7414 to 4981 computations (32.8% saved)

series2.2s (7.8%)

Error

Counts

4 → 72

Calls

4 calls:

1.0s	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
472.0ms	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
136.0ms	(/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta)))
118.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 14336 to 11243 computations (21.6% saved)

simplify134.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

274 → 274

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5186	14138

prune909.0ms (3.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	274	0	274
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	274	9	283

Error

Counts

283 → 9

Compiler

Compiled 13179 to 9071 computations (31.2% saved)

regimes981.0ms (3.5%)

Accuracy

Total 0.1b remaining (96.3%)

Threshold costs 0.1b (96.3%)

Compiler

Compiled 16265 to 12188 computations (25.1% saved)

bsearch0.0ms (0%)

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	47
1	31	47

Compiler

Compiled 62 to 48 computations (22.6% saved)

end0.0ms (0%)

sample4.7s (17.1%)

Algorithm

1×

intervals

Results

494.0ms	8000×	body	128	valid
137.0ms	8000×	pre	128	true

Compiler

Compiled 5470 to 4099 computations (25.1% saved)

Details

analyze364.0ms (1.3%)

sample42.0ms (0.2%)

simplify234.0ms (0.8%)

prune5.0ms (0%)

localize12.0ms (0%)

rewrite393.0ms (1.4%)

series2.4s (8.5%)

simplify129.0ms (0.5%)

prune792.0ms (2.8%)

localize14.0ms (0%)

rewrite1.5s (5.4%)

series2.4s (8.8%)

simplify202.0ms (0.7%)

prune1.9s (6.8%)

localize16.0ms (0.1%)

rewrite2.0s (7%)

series3.0s (10.8%)

simplify274.0ms (1%)

prune2.7s (9.8%)

localize15.0ms (0.1%)

rewrite508.0ms (1.8%)

series2.2s (7.8%)

simplify134.0ms (0.5%)

prune909.0ms (3.3%)

regimes981.0ms (3.5%)

bsearch0.0ms (0%)

simplify10.0ms (0%)

end0.0ms (0%)

sample4.7s (17.1%)

Profiling