Details

analyze147.0ms (4.3%)

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

Symmetry

Compiler

Compiled 29 to 20 computations (31% saved)

sample27.0ms (0.8%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
3.0ms	256×	pre	128	true

Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify51.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

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

Error

0.1b

Counts

2 → 2

Compiler

Compiled 43 to 33 computations (23.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
1.0b	(/.f64 1 (*.f64 i i))

rewrite110.0ms (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)

series79.0ms (2.3%)

Error

Counts

2 → 15

Calls

2 calls:

47.0ms	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
19.0ms	(/.f64 1 (*.f64 i i))

Compiler

Compiled 395 to 361 computations (8.6% saved)

simplify66.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5026	1341

prune86.0ms (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	95	3	98

Error

Counts

98 → 3

Compiler

Compiled 1321 to 998 computations (24.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite25.0ms (0.7%)

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)

series77.0ms (2.3%)

Error

Counts

1 → 6

Calls

1 calls:

73.0ms

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

Compiler

Compiled 120 to 106 computations (11.7% saved)

simplify85.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4925	305
1	4925	305

prune18.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

27 → 3

Compiler

Compiled 309 to 197 computations (36.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b

(*.f64 (*.f64 i i) (*.f64 i i))

16.1b

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1))

41.6b

(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i)))

rewrite566.0ms (16.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

302×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
168×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
114×	`pow1_binary64_1503`
76×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476`
38×	`times-frac_binary64_1448`
36×	`pow-prod-up_binary64_1512`
23×	`pow-prod-down_binary64_1513`
22×	`add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442` `pow-sqr_binary64_1415`
18×	`pow-plus_binary64_1505`
16×	`add-cube-cbrt_binary64_1477`
13×	`pow2_binary64_1523`
12×	`difference-of-squares_binary64_1411`
9×	`div-inv_binary64_1439`
7×	`associate-/r*_binary64_1386`
6×	`associate-/l*_binary64_1387` `difference-of-sqr-1_binary64_1412`
3×	`add-log-exp_binary64_1481`
2×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `associate-/r/_binary64_1388`
1×	`associate-/l/_binary64_1389` `flip3--_binary64_1446` `flip--_binary64_1417` `unswap-sqr_binary64_1410` `swap-sqr_binary64_1409` `associate-l_binary64_1383` `associate-r_binary64_1382` `*-commutative_binary64_1373`

Counts

3 → 232

Calls

3 calls:

35.0ms

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1))

29.0ms

(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i)))

9.0ms

(*.f64 (*.f64 i i) (*.f64 i i))

Compiler

Compiled 9470 to 5326 computations (43.8% saved)

series138.0ms (4%)

Error

Counts

3 → 18

Calls

3 calls:

70.0ms

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1))

27.0ms

(/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i)))

27.0ms

(*.f64 (*.f64 i i) (*.f64 i i))

Compiler

Compiled 638 to 547 computations (14.3% saved)

simplify128.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

250 → 250

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4869	3583
1	4869	3583

prune279.0ms (8.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	250	0	250
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	250	3	253

Error

Counts

253 → 3

Compiler

Compiled 4885 to 3483 computations (28.7% saved)

regimes120.0ms (3.5%)

Accuracy

Total 0.1b remaining (99.5%)

Threshold costs 0.1b (99.5%)

Compiler

Compiled 1122 to 959 computations (14.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	22
1	35	22

Removed

()

end0.0ms (0%)

sample1.4s (40.6%)

Algorithm

1×

intervals

Results

421.0ms	8000×	body	128	valid
100.0ms	8000×	pre	128	true

Compiler

Compiled 541 to 470 computations (13.1% saved)

Details

analyze147.0ms (4.3%)

sample27.0ms (0.8%)

simplify51.0ms (1.5%)

prune5.0ms (0.2%)

localize6.0ms (0.2%)

rewrite110.0ms (3.2%)

series79.0ms (2.3%)

simplify66.0ms (1.9%)

prune86.0ms (2.5%)

localize5.0ms (0.1%)

rewrite25.0ms (0.7%)

series77.0ms (2.3%)

simplify85.0ms (2.5%)

prune18.0ms (0.5%)

localize8.0ms (0.2%)

rewrite566.0ms (16.6%)

series138.0ms (4%)

simplify128.0ms (3.8%)

prune279.0ms (8.2%)

regimes120.0ms (3.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.4s (40.6%)

Profiling