Details

analyze136.0ms (4.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5047	13
0	1	1
1	1	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)

sample25.0ms (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)

simplify48.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5047	13

prune9.0ms (0.3%)

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

0.2b

Counts

2 → 2

Compiler

Compiled 43 to 33 computations (23.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
0.3b	(/.f64 1 (*.f64 i i))

rewrite100.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

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×	`add-cbrt-cube_binary64_1478` `associate-/r*_binary64_1386`
8×	`distribute-lft-out--_binary64_1394`
6×	`pow-flip_binary64_1516` `div-inv_binary64_1439` `associate-/l*_binary64_1387`
5×	`div-exp_binary64_1493`
3×	`prod-exp_binary64_1491` `cbrt-undiv_binary64_1476`
2×	`1-exp_binary64_1486` `rec-exp_binary64_1492` `add-log-exp_binary64_1481` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `associate-/r/_binary64_1388`
1×	`inv-pow_binary64_1527` `pow2_binary64_1523` `pow-prod-down_binary64_1513` `pow-prod-up_binary64_1512` `pow-plus_binary64_1505` `pow-sqr_binary64_1415` `cbrt-unprod_binary64_1475` `flip3--_binary64_1446` `flip--_binary64_1417`

Counts

2 → 81

Calls

2 calls:

8.0ms	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
5.0ms	(/.f64 1 (*.f64 i i))

Compiler

Compiled 1349 to 1011 computations (25.1% saved)

series61.0ms (2%)

Error

Counts

2 → 11

Calls

2 calls:

32.0ms	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
21.0ms	(/.f64 1 (*.f64 i i))

Compiler

Compiled 261 to 241 computations (7.7% saved)

simplify64.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4978	1247
1	4978	1247

prune75.0ms (2.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	91	3	94

Error

Counts

94 → 3

Compiler

Compiled 1249 to 950 computations (23.9% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1/4 (-.f64 16 (/.f64 1 (pow.f64 i 4))))
0.1b	(/.f64 1 (pow.f64 i 4))
0.3b	(/.f64 1 (*.f64 i i))
25.3b	(.f64 (/.f64 1/4 (-.f64 16 (/.f64 1 (pow.f64 i 4)))) (+.f64 4 (/.f64 1 (.f64 i i))))

rewrite479.0ms (15.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

166×	`add-sqr-sqrt_binary64_1464`
139×	`times-frac_binary64_1448`
101×	`*-un-lft-identity_binary64_1442`
56×	`add-cube-cbrt_binary64_1477`
49×	`difference-of-squares_binary64_1411`
42×	`associate-l_binary64_1383`
31×	`add-exp-log_binary64_1480`
26×	`unpow-prod-down_binary64_1521`
20×	`associate-/r*_binary64_1386`
18×	`add-cbrt-cube_binary64_1478` `sqr-pow_binary64_1414`
14×	`pow1_binary64_1503` `distribute-lft-out--_binary64_1394`
12×	`div-exp_binary64_1493` `div-inv_binary64_1439`
9×	`associate-/l*_binary64_1387`
7×	`pow-flip_binary64_1516`
5×	`prod-exp_binary64_1491` `cbrt-undiv_binary64_1476` `associate-r_binary64_1382` `1-exp_binary64_1486` `rec-exp_binary64_1492`
4×	`add-log-exp_binary64_1481` `associate-/r/_binary64_1388`
3×	`cbrt-unprod_binary64_1475` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510`
2×	`pow-prod-down_binary64_1513` `flip3-+_binary64_1445` `frac-times_binary64_1452` `flip-+_binary64_1416` `unswap-sqr_binary64_1410` `associate-*r/_binary64_1384` `flip3--_binary64_1446` `flip--_binary64_1417` `distribute-lft-out_binary64_1393` `inv-pow_binary64_1527`
1×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `associate-l/_binary64_1385` `-commutative_binary64_1373` `pow2_binary64_1523` `pow-prod-up_binary64_1512` `pow-plus_binary64_1505` `pow-sqr_binary64_1415`

Counts

4 → 219

Calls

4 calls:

27.0ms	(.f64 (/.f64 1/4 (-.f64 16 (/.f64 1 (pow.f64 i 4)))) (+.f64 4 (/.f64 1 (.f64 i i))))
13.0ms	(/.f64 1/4 (-.f64 16 (/.f64 1 (pow.f64 i 4))))
5.0ms	(/.f64 1 (*.f64 i i))
5.0ms	(/.f64 1 (pow.f64 i 4))

Compiler

Compiled 6037 to 4877 computations (19.2% saved)

series179.0ms (5.8%)

Error

Counts

4 → 19

Calls

4 calls:

61.0ms	(/.f64 1/4 (-.f64 16 (/.f64 1 (pow.f64 i 4))))
54.0ms	(.f64 (/.f64 1/4 (-.f64 16 (/.f64 1 (pow.f64 i 4)))) (+.f64 4 (/.f64 1 (.f64 i i))))
29.0ms	(/.f64 1 (pow.f64 i 4))
21.0ms	(/.f64 1 (*.f64 i i))

Compiler

Compiled 706 to 613 computations (13.2% saved)

simplify109.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

238 → 238

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4872	4196
1	4872	4196

prune323.0ms (10.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	238	0	238
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	238	3	241

Error

Counts

241 → 3

Compiler

Compiled 5573 to 4368 computations (21.6% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 i i) -1/4) (pow.f64 i 4))

rewrite25.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`cancel-sign-sub-inv_binary64_1408`
3×	`add-log-exp_binary64_1481` `add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442` `unpow-prod-down_binary64_1521`
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` `sqr-pow_binary64_1414`

Counts

1 → 18

Calls

1 calls:

7.0ms

(-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4))

Compiler

Compiled 337 to 217 computations (35.6% saved)

series80.0ms (2.6%)

Error

Counts

1 → 6

Calls

1 calls:

76.0ms

(-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4))

Compiler

Compiled 120 to 106 computations (11.7% saved)

simplify85.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4925	305
1	4925	305

prune16.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	24	3	27

Error

Counts

27 → 3

Compiler

Compiled 284 to 180 computations (36.6% saved)

regimes89.0ms (2.9%)

Accuracy

Total 0.1b remaining (99.8%)

Threshold costs 0.1b (99.8%)

Compiler

Compiled 768 to 665 computations (13.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	22
1	35	22

end0.0ms (0%)

sample1.2s (37.5%)

Algorithm

1×

intervals

Results

400.0ms	8000×	body	128	valid
98.0ms	8000×	pre	128	true

Compiler

Compiled 364 to 323 computations (11.3% saved)

Details

analyze136.0ms (4.4%)

sample25.0ms (0.8%)

simplify48.0ms (1.6%)

prune9.0ms (0.3%)

localize6.0ms (0.2%)

rewrite100.0ms (3.2%)

series61.0ms (2%)

simplify64.0ms (2.1%)

prune75.0ms (2.4%)

localize13.0ms (0.4%)

rewrite479.0ms (15.5%)

series179.0ms (5.8%)

simplify109.0ms (3.5%)

prune323.0ms (10.5%)

localize6.0ms (0.2%)

rewrite25.0ms (0.8%)

series80.0ms (2.6%)

simplify85.0ms (2.8%)

prune16.0ms (0.5%)

regimes89.0ms (2.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (37.5%)

Profiling