Details

analyze95.0ms (1.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample26.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	66×	body	1024	valid
4.0ms	140×	body	128	valid
2.0ms	25×	body	512	valid
1.0ms	9×	body	2048	valid
1.0ms	16×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune2.0ms (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

29.3b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.2b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

rewrite41.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

28.5b

Rules

11×	`add-sqr-sqrt_binary64_1464` `sqrt-prod_binary64_1458`
10×	`*-un-lft-identity_binary64_1442`
6×	`cancel-sign-sub-inv_binary64_1408`
4×	`difference-of-squares_binary64_1411`
3×	`add-log-exp_binary64_1481` `add-cube-cbrt_binary64_1477` `distribute-lft-out--_binary64_1394`
1×	`diff-log_binary64_1534` `pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417` `distribute-lft-out_binary64_1393`

Counts

1 → 24

Calls

1 calls:

9.0ms

(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 364 to 225 computations (38.2% saved)

series31.0ms (0.6%)

Error

28.5b

Counts

1 → 3

Calls

1 calls:

28.0ms

(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 109 to 91 computations (16.5% saved)

simplify60.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5280	397

prune32.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Error

0.1b

Counts

28 → 3

Compiler

Compiled 343 to 223 computations (35% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

rewrite91.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

48×	`*-un-lft-identity_binary64_1442`
20×	`sqrt-prod_binary64_1458` `distribute-lft-out_binary64_1393`
18×	`times-frac_binary64_1448`
13×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464`
6×	`add-exp-log_binary64_1480` `associate-/r*_binary64_1386`
4×	`add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478`
3×	`pow1_binary64_1503` `associate-/l*_binary64_1387`
2×	`div-exp_binary64_1493` `flip3-+_binary64_1445` `associate-/r/_binary64_1388` `flip-+_binary64_1416`
1×	`inv-pow_binary64_1527` `pow-flip_binary64_1516` `1-exp_binary64_1486` `rec-exp_binary64_1492` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439` `sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

2 → 59

Calls

2 calls:

10.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
8.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 1029 to 749 computations (27.2% saved)

series34.0ms (0.7%)

Error

0.1b

Counts

2 → 6

Calls

2 calls:

18.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
14.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 104 to 102 computations (1.9% saved)

simplify102.0ms (2%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4780	1037
1	4780	1037

prune67.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	59	6	65
Fresh	1	0	1
Picked	0	1	1
Done	1	0	1
Total	61	7	68

Error

0.0b

Counts

68 → 7

Compiler

Compiled 1020 to 743 computations (27.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.3b	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))

rewrite770.0ms (15.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

310×	`*-un-lft-identity_binary64_1442`
290×	`sqrt-prod_binary64_1458`
172×	`times-frac_binary64_1448`
144×	`add-sqr-sqrt_binary64_1464`
116×	`distribute-lft-out_binary64_1393`
88×	`add-cube-cbrt_binary64_1477`
43×	`swap-sqr_binary64_1409`
31×	`pow1_binary64_1503`
27×	`sqrt-pow1_binary64_1460` `associate-l_binary64_1383` `associate-r_binary64_1382`
16×	`unswap-sqr_binary64_1410`
14×	`add-exp-log_binary64_1480` `associate-/r/_binary64_1388`
12×	`associate-/r*_binary64_1386`
11×	`inv-pow_binary64_1527` `pow-flip_binary64_1516`
10×	`add-cbrt-cube_binary64_1478`
9×	`pow1/2_binary64_1522` `pow-prod-up_binary64_1512` `rem-sqrt-square_binary64_1455` `div-inv_binary64_1439`
7×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
6×	`associate-/l*_binary64_1387`
5×	`pow-prod-down_binary64_1513` `sqrt-div_binary64_1459` `pow-sqr_binary64_1415`
4×	`add-log-exp_binary64_1481` `div-exp_binary64_1493`
3×	`sqr-abs_binary64_1457`
2×	`1-exp_binary64_1486` `rec-exp_binary64_1492` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441`
1×	`pow2_binary64_1523` `pow-plus_binary64_1505` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `sqrt-unprod_binary64_1462` `rem-square-sqrt_binary64_1454` `frac-times_binary64_1452` `associate-l/_binary64_1385` `associate-r/_binary64_1384` `*-commutative_binary64_1373`

Counts

4 → 281

Calls

4 calls:

41.0ms	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
11.0ms	(sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
10.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
10.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 9177 to 6931 computations (24.5% saved)

series95.0ms (1.9%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

27.0ms	(sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))))
21.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
20.0ms	(*.f64 (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))) (sqrt.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))
18.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 545 to 477 computations (12.5% saved)

simplify124.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

293 → 293

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5824	5963

prune481.0ms (9.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	289	4	293
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	292	8	300

Error

Counts

300 → 8

Compiler

Compiled 7026 to 5189 computations (26.1% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 4) (/.f64 -1 2))
0.0b	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
0.1b	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.6b	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 4)

rewrite179.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

46×	`*-un-lft-identity_binary64_1442`
34×	`sqrt-prod_binary64_1458`
31×	`unpow-prod-down_binary64_1521`
19×	`add-sqr-sqrt_binary64_1464`
18×	`add-cube-cbrt_binary64_1477`
16×	`distribute-lft-out_binary64_1393` `pow-unpow_binary64_1519`
9×	`times-frac_binary64_1448`
7×	`pow1_binary64_1503` `add-exp-log_binary64_1480`
6×	`add-log-exp_binary64_1481`
5×	`pow-exp_binary64_1510`
4×	`pow-pow_binary64_1514` `add-cbrt-cube_binary64_1478`
3×	`pow-to-exp_binary64_1511` `sqr-pow_binary64_1414`
2×	`pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `flip3-+_binary64_1445` `sqrt-div_binary64_1459` `flip-+_binary64_1416`
1×	`sqrt-pow2_binary64_1461` `rem-sqrt-square_binary64_1455` `sum-log_binary64_1533` `+-commutative_binary64_1372` `div-inv_binary64_1439`

Counts

4 → 97

Calls

4 calls:

13.0ms	(pow.f64 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 4) (/.f64 -1 2))
10.0ms	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 4)
8.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
8.0ms	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 2246 to 1801 computations (19.8% saved)

series120.0ms (2.4%)

Error

Counts

4 → 12

Calls

4 calls:

40.0ms	(pow.f64 (pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 4) (/.f64 -1 2))
34.0ms	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) 4)
23.0ms	(sqrt.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
16.0ms	(+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

Compiler

Compiled 423 to 414 computations (2.1% saved)

simplify86.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5004	1870

prune118.0ms (2.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	109	8	117

Error

Counts

117 → 8

Compiler

Compiled 1852 to 1464 computations (21% saved)

regimes267.0ms (5.3%)

Accuracy

Total 0.2b remaining (97.5%)

Threshold costs 0.2b (97.5%)

Compiler

Compiled 3385 to 2698 computations (20.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	14
1	11	14

end0.0ms (0%)

sample2.2s (43.6%)

Algorithm

1×

intervals

Results

200.0ms	1961×	body	1024	valid
124.0ms	4237×	body	128	valid
78.0ms	1036×	body	512	valid
31.0ms	247×	body	2048	valid
25.0ms	519×	body	256	valid
0.0ms	3×	body	128	nan

Compiler

Compiled 1669 to 1332 computations (20.2% saved)

Details

analyze95.0ms (1.9%)

sample26.0ms (0.5%)

simplify10.0ms (0.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite41.0ms (0.8%)

series31.0ms (0.6%)

simplify60.0ms (1.2%)

prune32.0ms (0.6%)

localize6.0ms (0.1%)

rewrite91.0ms (1.8%)

series34.0ms (0.7%)

simplify102.0ms (2%)

prune67.0ms (1.3%)

localize10.0ms (0.2%)

rewrite770.0ms (15.1%)

series95.0ms (1.9%)

simplify124.0ms (2.4%)

prune481.0ms (9.5%)

localize13.0ms (0.3%)

rewrite179.0ms (3.5%)

series120.0ms (2.4%)

simplify86.0ms (1.7%)

prune118.0ms (2.3%)

regimes267.0ms (5.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.2s (43.6%)

Profiling