Details

analyze8.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
37.5%	12.5%	50%	4
43.7%	6.2%	50%	5
46.9%	3.1%	50%	6
48.4%	1.6%	50%	7
49.2%	0.8%	50%	8
49.6%	0.4%	50%	9
49.8%	0.2%	50%	10
49.9%	0.1%	50%	11
49.9%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 29 to 20 computations (31% saved)

sample22.0ms (0.8%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
3.0ms	256×	pre	128	true

Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify142.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5047	13

prune5.0ms (0.2%)

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

Merged error: 0.3b

Counts

2 → 2

Compiler

Compiled 43 to 33 computations (23.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
0.4b	(/.f64 1 (*.f64 i i))

rewrite21.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-sqr-sqrt_binary64_1464`
35×	`times-frac_binary64_1448`
33×	`*-un-lft-identity_binary64_1442`
17×	`add-cube-cbrt_binary64_1477`
15×	`add-exp-log_binary64_1480`
12×	`difference-of-squares_binary64_1411`
10×	`pow1_binary64_1503`
9×	`associate-/r*_binary64_1386` `add-cbrt-cube_binary64_1478`
8×	`distribute-lft-out--_binary64_1394`
6×	`div-inv_binary64_1439` `associate-/l*_binary64_1387` `pow-flip_binary64_1516`
5×	`div-exp_binary64_1493`
3×	`cbrt-undiv_binary64_1476` `prod-exp_binary64_1491`
2×	`associate-/r/_binary64_1388` `clear-num_binary64_1441` `1-exp_binary64_1486` `rec-exp_binary64_1492` `add-log-exp_binary64_1481` `frac-2neg_binary64_1453`
1×	`pow2_binary64_1523` `inv-pow_binary64_1527` `cbrt-unprod_binary64_1475` `pow-plus_binary64_1505` `flip3--_binary64_1446` `pow-prod-down_binary64_1513` `pow-sqr_binary64_1415` `flip--_binary64_1417` `pow-prod-up_binary64_1512`

Counts

2 → 81

Calls

2 calls:

9.0ms	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
5.0ms	(/.f64 1 (*.f64 i i))

series44.0ms (1.7%)

Counts

2 → 9

Calls

2 calls:

25.0ms	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
18.0ms	(/.f64 1 (*.f64 i i))

Compiler

Compiled 115 to 111 computations (3.5% saved)

simplify65.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4917	1221
1	4917	1221

prune81.0ms (3.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	89	3	92

Merged error: 0b

Counts

92 → 3

Compiler

Compiled 1250 to 951 computations (23.9% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 2 (/.f64 1 i))
0.0b	(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
0.1b	(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
0.1b	(/.f64 1/2 (-.f64 2 (/.f64 1 i)))

rewrite80.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

123×	`add-sqr-sqrt_binary64_1464`
108×	`*-un-lft-identity_binary64_1442`
107×	`times-frac_binary64_1448`
55×	`add-cube-cbrt_binary64_1477`
30×	`associate-r_binary64_1382`
24×	`difference-of-squares_binary64_1411`
21×	`associate-l_binary64_1383`
20×	`add-cbrt-cube_binary64_1478` `div-inv_binary64_1439` `add-exp-log_binary64_1480`
16×	`distribute-lft-out--_binary64_1394`
14×	`distribute-lft-out_binary64_1393`
13×	`associate-/r*_binary64_1386` `cancel-sign-sub-inv_binary64_1408`
8×	`associate-/r/_binary64_1388`
6×	`cbrt-undiv_binary64_1476` `associate-/l*_binary64_1387` `add-log-exp_binary64_1481` `pow1_binary64_1503` `div-exp_binary64_1493`
4×	`cbrt-unprod_binary64_1475` `prod-exp_binary64_1491` `unswap-sqr_binary64_1410`
3×	`flip3--_binary64_1446` `flip--_binary64_1417`
2×	`clear-num_binary64_1441` `frac-2neg_binary64_1453` `flip3-+_binary64_1445` `flip-+_binary64_1416`
1×	`associate-r/_binary64_1384` `sub-neg_binary64_1435` `pow-prod-down_binary64_1513` `-commutative_binary64_1373` `diff-log_binary64_1534` `frac-times_binary64_1452` `associate-*l/_binary64_1385`

Counts

4 → 190

Calls

4 calls:

35.0ms	(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
9.0ms	(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
8.0ms	(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
8.0ms	(-.f64 2 (/.f64 1 i))

series84.0ms (3.3%)

Counts

4 → 22

Calls

4 calls:

31.0ms	(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
22.0ms	(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
17.0ms	(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
14.0ms	(-.f64 2 (/.f64 1 i))

Compiler

Compiled 399 to 366 computations (8.3% saved)

simplify89.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4968	3663
1	4968	3663

prune306.0ms (12%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	211	1	212
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	212	3	215

Merged error: 0b

Counts

215 → 3

Compiler

Compiled 4451 to 3866 computations (13.1% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (*.f64 (-.f64 2 (/.f64 1 i)) (+.f64 2 (/.f64 1 i))) 3)
0.1b	(/.f64 1/64 (pow.f64 (*.f64 (-.f64 2 (/.f64 1 i)) (+.f64 2 (/.f64 1 i))) 3))
0.2b	(*.f64 (-.f64 2 (/.f64 1 i)) (+.f64 2 (/.f64 1 i)))
11.4b	(cbrt.f64 (/.f64 1/64 (pow.f64 (*.f64 (-.f64 2 (/.f64 1 i)) (+.f64 2 (/.f64 1 i))) 3)))

rewrite65.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`times-frac_binary64_1448`
41×	`add-sqr-sqrt_binary64_1464`
39×	`*-un-lft-identity_binary64_1442`
36×	`cbrt-prod_binary64_1473`
32×	`add-cube-cbrt_binary64_1477`
24×	`cube-div_binary64_1471`
17×	`add-exp-log_binary64_1480`
16×	`associate-/r/_binary64_1388` `frac-times_binary64_1452`
12×	`flip3--_binary64_1446` `flip--_binary64_1417` `flip3-+_binary64_1445` `flip-+_binary64_1416`
11×	`add-cbrt-cube_binary64_1478`
9×	`pow1_binary64_1503`
8×	`associate-r/_binary64_1384` `associate-/r_binary64_1386` `cube-mult_binary64_1472` `cube-prod_binary64_1470` `associate-l_binary64_1383` `sqr-pow_binary64_1414` `unpow3_binary64_1508` `associate-*l/_binary64_1385` `unpow-prod-down_binary64_1521`
5×	`associate-r_binary64_1382`
4×	`pow-exp_binary64_1510` `div-inv_binary64_1439` `add-log-exp_binary64_1481` `div-exp_binary64_1493`
3×	`associate-/l*_binary64_1387` `pow-unpow_binary64_1519` `prod-exp_binary64_1491` `difference-of-squares_binary64_1411`
2×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `rem-cube-cbrt_binary64_1465` `distribute-lft-out_binary64_1393` `distribute-lft-out--_binary64_1394` `pow-to-exp_binary64_1511` `pow-pow_binary64_1514`
1×	`cbrt-undiv_binary64_1476` `cbrt-div_binary64_1474` `clear-num_binary64_1441` `*-commutative_binary64_1373` `frac-2neg_binary64_1453` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `pow1/3_binary64_1524` `unswap-sqr_binary64_1410`

Counts

4 → 168

Calls

4 calls:

18.0ms	(*.f64 (-.f64 2 (/.f64 1 i)) (+.f64 2 (/.f64 1 i)))
16.0ms	(pow.f64 (*.f64 (-.f64 2 (/.f64 1 i)) (+.f64 2 (/.f64 1 i))) 3)
7.0ms	(/.f64 1/64 (pow.f64 (*.f64 (-.f64 2 (/.f64 1 i)) (+.f64 2 (/.f64 1 i))) 3))
7.0ms	(cbrt.f64 (/.f64 1/64 (pow.f64 (*.f64 (-.f64 2 (/.f64 1 i)) (+.f64 2 (/.f64 1 i))) 3)))

series139.0ms (5.4%)

Counts

4 → 22

Calls

4 calls:

42.0ms	(/.f64 1/64 (pow.f64 (*.f64 (-.f64 2 (/.f64 1 i)) (+.f64 2 (/.f64 1 i))) 3))
37.0ms	(cbrt.f64 (/.f64 1/64 (pow.f64 (*.f64 (-.f64 2 (/.f64 1 i)) (+.f64 2 (/.f64 1 i))) 3)))
33.0ms	(pow.f64 (*.f64 (-.f64 2 (/.f64 1 i)) (+.f64 2 (/.f64 1 i))) 3)
26.0ms	(*.f64 (-.f64 2 (/.f64 1 i)) (+.f64 2 (/.f64 1 i)))

Compiler

Compiled 326 to 317 computations (2.8% saved)

simplify81.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5560	5226

prune320.0ms (12.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	190	3	193

Merged error: 0b

Counts

193 → 3

Compiler

Compiled 4692 to 4083 computations (13% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Merged error: 0b

Counts

3 → 3

Compiler

Compiled 0 to 0 computations (0% saved)

regimes70.0ms (2.7%)

Compiler: Compiled 584 to 495 computations (15.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	22
1	34	22

end0.0ms (0%)

sample900.0ms (35.2%)

Algorithm

1×

intervals

Results

392.0ms	8000×	body	128	valid
100.0ms	8000×	pre	128	true

Compiler

Compiled 272 to 238 computations (12.5% saved)

Details

analyze8.0ms (0.3%)

sample22.0ms (0.8%)

simplify142.0ms (5.5%)

prune5.0ms (0.2%)

localize6.0ms (0.2%)

rewrite21.0ms (0.8%)

series44.0ms (1.7%)

simplify65.0ms (2.5%)

prune81.0ms (3.2%)

localize8.0ms (0.3%)

rewrite80.0ms (3.1%)

series84.0ms (3.3%)

simplify89.0ms (3.5%)

prune306.0ms (12%)

localize10.0ms (0.4%)

rewrite65.0ms (2.5%)

series139.0ms (5.4%)

simplify81.0ms (3.2%)

prune320.0ms (12.5%)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.3%)

prune1.0ms (0%)

regimes70.0ms (2.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample900.0ms (35.2%)

Profiling