Details

analyze281.0ms (1.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4894	172
1	4894	172
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	28.1%	71.9%	0
0%	28.1%	71.9%	1
0%	28.1%	71.9%	2
0%	28.1%	71.9%	3
3.5%	24.6%	71.9%	4
5.3%	22.8%	71.9%	5
10.5%	17.5%	71.9%	6
14%	14%	71.9%	7
19.1%	9%	71.9%	8
24.6%	3.5%	71.9%	9
25.1%	3%	71.9%	10
25.8%	2.3%	71.9%	11
26.3%	1.8%	71.9%	12
26.6%	1.5%	71.9%	13
26.9%	1.2%	71.9%	14

Compiler

Compiled 39 to 27 computations (30.8% saved)

sample40.0ms (0.2%)

Algorithm

1×

intervals

Results

12.0ms	206×	body	128	valid
6.0ms	27×	body	1024	valid
5.0ms	256×	pre	128	true
3.0ms	16×	body	512	valid
1.0ms	7×	body	256	valid

Compiler

Compiled 68 to 50 computations (26.5% saved)

simplify77.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5371	43

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

23.6b

Counts

2 → 1

Compiler

Compiled 58 to 40 computations (31% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b

(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))

1.0b

(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)

21.6b

(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

rewrite455.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

12.2b

Rules

54×	`times-frac_binary64_1448`
47×	`*-un-lft-identity_binary64_1442`
25×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464`
17×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
14×	`associate-/r/_binary64_1388`
11×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `distribute-lft-out_binary64_1393`
10×	`associate-/l*_binary64_1387`
9×	`associate-/l/_binary64_1389`
7×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `div-inv_binary64_1439` `associate-/r*_binary64_1386`
5×	`add-log-exp_binary64_1481`
4×	`frac-times_binary64_1452`
3×	`pow1_binary64_1503` `flip3--_binary64_1446` `flip--_binary64_1417`
2×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `associate-l/_binary64_1385` `associate-r/_binary64_1384`
1×	`sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

3 → 111

Calls

3 calls:

34.0ms

(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)

22.0ms

(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))

15.0ms

(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

Compiler

Compiled 5370 to 2710 computations (49.5% saved)

series3.3s (13.3%)

Error

0.3b

Counts

3 → 77

Calls

3 calls:

1.5s

(+.f64 (/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2)) 1)

1.2s

(/.f64 (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 i)) 2))

226.0ms

(/.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (+.f64 (+.f64 alpha beta) (*.f64 2 i)))

Compiler

Compiled 15552 to 11965 computations (23.1% saved)

simplify127.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5782	14240

prune611.0ms (2.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	182	6	188
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	183	6	189

Error

0.1b

Counts

189 → 6

Compiler

Compiled 11725 to 6610 computations (43.6% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 beta alpha)))
0.0b	(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (.f64 2 i) (+.f64 beta alpha))))
1.3b	(.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha)))))
3.4b	(+.f64 (.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))) 1)

rewrite889.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

321×	`times-frac_binary64_1448`
290×	`*-un-lft-identity_binary64_1442`
211×	`add-sqr-sqrt_binary64_1464`
140×	`add-cube-cbrt_binary64_1477`
90×	`associate-r_binary64_1382`
44×	`distribute-lft-out_binary64_1393`
31×	`difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394`
26×	`associate-/l*_binary64_1387`
24×	`associate-/r/_binary64_1388`
20×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
15×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
12×	`div-inv_binary64_1439`
7×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `associate-/r*_binary64_1386`
6×	`add-log-exp_binary64_1481` `pow1_binary64_1503`
4×	`associate-l_binary64_1383`
3×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `div-sub_binary64_1447` `associate-/l/_binary64_1389`
2×	`frac-times_binary64_1452` `associate-*l/_binary64_1385` `frac-2neg_binary64_1453` `clear-num_binary64_1441`
1×	`sum-log_binary64_1533` `+-commutative_binary64_1372` `pow-prod-down_binary64_1513` `associate-r/_binary64_1384` `-commutative_binary64_1373` `flip3--_binary64_1446` `flip--_binary64_1417`

Counts

4 → 295

Calls

4 calls:

42.0ms	(.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha)))))
28.0ms	(+.f64 (.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))) 1)
25.0ms	(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (.f64 2 i) (+.f64 beta alpha))))
11.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 beta alpha)))

Compiler

Compiled 14908 to 7929 computations (46.8% saved)

series4.9s (19.8%)

Error

0.1b

Counts

4 → 107

Calls

4 calls:

1.5s	(+.f64 (.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))) 1)
1.3s	(/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (.f64 2 i) (+.f64 beta alpha))))
1.2s	(.f64 (+.f64 beta alpha) (/.f64 (/.f64 (-.f64 beta alpha) (+.f64 (.f64 2 i) (+.f64 beta alpha))) (+.f64 2 (+.f64 (*.f64 2 i) (+.f64 beta alpha)))))
239.0ms	(/.f64 (-.f64 beta alpha) (+.f64 (*.f64 2 i) (+.f64 beta alpha)))

Compiler

Compiled 23245 to 17655 computations (24% saved)

simplify223.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

402 → 402

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4970	26934
1	4970	26934

prune1.6s (6.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	402	0	402
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	402	6	408

Error

0.1b

Counts

408 → 6

Compiler

Compiled 24303 to 13636 computations (43.9% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))
0.4b	(/.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))
0.4b	(.f64 (/.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha)))))
8.5b	(+.f64 (/.f64 (.f64 (/.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)

rewrite681.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

128×	`add-sqr-sqrt_binary64_1464`
126×	`*-un-lft-identity_binary64_1442`
120×	`times-frac_binary64_1448`
72×	`add-cube-cbrt_binary64_1477`
66×	`sqrt-prod_binary64_1458`
36×	`associate-r_binary64_1382`
30×	`associate-l_binary64_1383`
20×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
14×	`distribute-lft-out_binary64_1393`
13×	`difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394`
12×	`associate-/r*_binary64_1386`
9×	`unswap-sqr_binary64_1410` `associate-/l*_binary64_1387`
8×	`sqrt-div_binary64_1459` `associate-/r/_binary64_1388`
6×	`add-log-exp_binary64_1481` `pow1_binary64_1503` `flip3-+_binary64_1445` `flip-+_binary64_1416` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476`
4×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `div-inv_binary64_1439` `associate-/l/_binary64_1389`
2×	`frac-2neg_binary64_1453` `clear-num_binary64_1441`
1×	`sum-log_binary64_1533` `+-commutative_binary64_1372` `pow-prod-down_binary64_1513` `frac-times_binary64_1452` `associate-l/_binary64_1385` `associate-r/_binary64_1384` `*-commutative_binary64_1373` `div-sub_binary64_1447` `flip3--_binary64_1446` `flip--_binary64_1417`

Counts

4 → 215

Calls

4 calls:

44.0ms	(.f64 (/.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha)))))
36.0ms	(+.f64 (/.f64 (.f64 (/.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)
18.0ms	(/.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))
12.0ms	(/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))

Compiler

Compiled 12033 to 6437 computations (46.5% saved)

series2.5s (9.9%)

Error

0.1b

Counts

4 → 81

Calls

4 calls:

1.5s	(+.f64 (/.f64 (.f64 (/.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha))))) (+.f64 (+.f64 (+.f64 alpha beta) (.f64 2 i)) 2)) 1)
234.0ms	(/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))
225.0ms	(.f64 (/.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 (.f64 2 i) (+.f64 beta alpha)))) (/.f64 (-.f64 beta alpha) (sqrt.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha)))))
212.0ms	(/.f64 (+.f64 beta alpha) (sqrt.f64 (+.f64 (*.f64 2 i) (+.f64 beta alpha))))

Compiler

Compiled 13491 to 10036 computations (25.6% saved)

simplify160.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

296 → 296

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4977	14830
1	4977	14830

prune1.0s (4.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	295	1	296
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	296	6	302

Error

0.0b

Counts

302 → 6

Compiler

Compiled 17088 to 9851 computations (42.4% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

21.6b	(/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (.f64 2 i) (+.f64 beta alpha)))
21.6b	(/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (.f64 2 i) (+.f64 beta alpha)))
21.6b	(/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (.f64 2 i) (+.f64 beta alpha)))
21.6b	(/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (.f64 2 i) (+.f64 beta alpha)))

rewrite813.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

32×	`associate-/l/_binary64_1389`
24×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
16×	`flip3-+_binary64_1445` `frac-times_binary64_1452` `flip-+_binary64_1416`
12×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `times-frac_binary64_1448` `-un-lft-identity_binary64_1442` `flip3--_binary64_1446` `flip--_binary64_1417` `associate-/r_binary64_1386`
8×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `associate-l/_binary64_1385` `associate-r/_binary64_1384` `associate-/r/_binary64_1388`
4×	`pow1_binary64_1503` `prod-exp_binary64_1491` `add-log-exp_binary64_1481` `cbrt-unprod_binary64_1475` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/l*_binary64_1387`

Counts

4 → 124

Calls

4 calls:

15.0ms	(/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (.f64 2 i) (+.f64 beta alpha)))
15.0ms	(/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (.f64 2 i) (+.f64 beta alpha)))
15.0ms	(/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (.f64 2 i) (+.f64 beta alpha)))
15.0ms	(/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (.f64 2 i) (+.f64 beta alpha)))

Compiler

Compiled 15456 to 7049 computations (54.4% saved)

series1.4s (5.6%)

Error

0.0b

Counts

4 → 80

Calls

4 calls:

265.0ms	(/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (.f64 2 i) (+.f64 beta alpha)))
263.0ms	(/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (.f64 2 i) (+.f64 beta alpha)))
255.0ms	(/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (.f64 2 i) (+.f64 beta alpha)))
223.0ms	(/.f64 (.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 (.f64 2 i) (+.f64 beta alpha)))

Compiler

Compiled 23254 to 12978 computations (44.2% saved)

simplify75.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5215	5054

prune1.2s (5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	203	1	204
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	204	6	210

Error

0.0b

Counts

210 → 6

Compiler

Compiled 23924 to 11318 computations (52.7% saved)

regimes1.3s (5.2%)

Accuracy

Total 1.4b remaining (95%)

Threshold costs 0b (0%)

Compiler

Compiled 24175 to 15609 computations (35.4% saved)

bsearch7.0ms (0%)

Compiler: Compiled 25 to 16 computations (36% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	275	190
1	275	190

end0.0ms (0%)

sample3.1s (12.5%)

Algorithm

1×

intervals

Results

389.0ms	6467×	body	128	valid
173.0ms	8000×	pre	128	true
162.0ms	693×	body	1024	valid
87.0ms	517×	body	512	valid
30.0ms	271×	body	256	valid
15.0ms	52×	body	2048	valid

Compiler

Compiled 3492 to 2243 computations (35.8% saved)

Details

analyze281.0ms (1.1%)

sample40.0ms (0.2%)

simplify77.0ms (0.3%)

prune6.0ms (0%)

localize13.0ms (0.1%)

rewrite455.0ms (1.8%)

series3.3s (13.3%)

simplify127.0ms (0.5%)

prune611.0ms (2.5%)

localize16.0ms (0.1%)

rewrite889.0ms (3.6%)

series4.9s (19.8%)

simplify223.0ms (0.9%)

prune1.6s (6.4%)

localize17.0ms (0.1%)

rewrite681.0ms (2.8%)

series2.5s (9.9%)

simplify160.0ms (0.6%)

prune1.0s (4.1%)

localize22.0ms (0.1%)

rewrite813.0ms (3.3%)

series1.4s (5.6%)

simplify75.0ms (0.3%)

prune1.2s (5%)

regimes1.3s (5.2%)

bsearch7.0ms (0%)

simplify7.0ms (0%)

end0.0ms (0%)

sample3.1s (12.5%)

Profiling