Details

analyze2.4s (17.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
3.1%	46.8%	50%	5
4.7%	45.3%	50%	6
5.5%	44.5%	50%	7
5.9%	44.1%	50%	8
6%	43.9%	50%	9
6.1%	43.8%	50%	10
6.2%	43.8%	50%	11
6.2%	43.7%	50%	12
6.2%	43.7%	50%	13
6.2%	43.7%	50%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample247.0ms (1.8%)

Algorithm

1×

intervals

Results

155.0ms	131×	body	1024	valid
39.0ms	67×	body	512	valid
17.0ms	11×	body	2048	valid
10.0ms	33×	body	256	valid
8.0ms	256×	pre	128	true
2.0ms	14×	body	128	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify171.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	45	14
1	45	14

prune4.0ms (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

62.4b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize13.0ms (0.1%)

Local error

Found 6 expressions with local error:

4.8b	(log.f64 (-.f64 1 x))
4.8b	(log.f64 (+.f64 1 x))
0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
0.0b	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
4.8b	(log.f64 (+.f64 1 x))
4.8b	(log.f64 (-.f64 1 x))

rewrite40.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_1403`
18×	`add-sqr-sqrt_binary64_1425`
16×	`times-frac_binary64_1409`
15×	`pow1_binary64_1464` `add-cube-cbrt_binary64_1438`
12×	`log-pow_binary64_1492`
10×	`log-prod_binary64_1489`
7×	`add-exp-log_binary64_1441`
6×	`log-div_binary64_1490`
5×	`add-cbrt-cube_binary64_1439`
4×	`associate-/r_binary64_1347` `associate-/l_binary64_1348`
3×	`add-log-exp_binary64_1442`
2×	`rem-log-exp_binary64_1444` `div-sub_binary64_1408` `flip--_binary64_1378` `difference-of-squares_binary64_1372` `flip3--_binary64_1407`
1×	`flip3-+_binary64_1406` `frac-2neg_binary64_1414` `div-inv_binary64_1400` `cbrt-undiv_binary64_1437` `clear-num_binary64_1402` `flip-+_binary64_1377` `div-exp_binary64_1454` `distribute-lft-out_binary64_1354` `distribute-lft-out--_binary64_1355`

Counts

3 → 70

Calls

6 calls:

16.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
7.0ms	(log.f64 (-.f64 1 x))
6.0ms	(log.f64 (+.f64 1 x))
0.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
0.0ms	(log.f64 (+.f64 1 x))

series190.0ms (1.4%)

Counts

3 → 20

Calls

3 calls:

89.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
52.0ms	(log.f64 (-.f64 1 x))
49.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 405 to 353 computations (12.8% saved)

simplify204.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (165.0ms)

Iter	Nodes	Cost
0	4971	1401
1	4971	1401

prune248.0ms (1.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	2	91

Error

Counts

91 → 2

Compiler

Compiled 1304 to 1016 computations (22.1% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 x x) 1/2)
0.0b	(.f64 (.f64 x x) 1/2)

rewrite15.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64_1464` `add-exp-log_binary64_1441` `add-cbrt-cube_binary64_1439`
3×	`prod-exp_binary64_1452` `associate-r_binary64_1343` `add-sqr-sqrt_binary64_1425` `pow-prod-down_binary64_1474` `cbrt-unprod_binary64_1436`
2×	`*-un-lft-identity_binary64_1403` `add-cube-cbrt_binary64_1438`
1×	`unswap-sqr_binary64_1371` `associate-l_binary64_1344` `add-log-exp_binary64_1442` `*-commutative_binary64_1334`

Counts

1 → 19

Calls

2 calls:

11.0ms	(.f64 (.f64 x x) 1/2)
0.0ms	(.f64 (.f64 x x) 1/2)

series47.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

47.0ms

(*.f64 (*.f64 x x) 1/2)

Compiler

Compiled 54 to 48 computations (11.1% saved)

simplify97.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5001	181

prune31.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Error

Counts

24 → 2

Compiler

Compiled 266 to 180 computations (32.3% saved)

localize21.0ms (0.2%)

Local error

Found 8 expressions with local error:

4.8b	(log.f64 (+.f64 1 x))
0.1b	(cbrt.f64 (pow.f64 (log.f64 (-.f64 1 x)) 3))
0.0b	(pow.f64 (log.f64 (-.f64 1 x)) 3)
0.0b	(/.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 1 x)) 3)) (log.f64 (+.f64 1 x)))
0.0b	(pow.f64 (log.f64 (-.f64 1 x)) 3)
0.1b	(cbrt.f64 (pow.f64 (log.f64 (-.f64 1 x)) 3))
4.8b	(log.f64 (+.f64 1 x))
4.8b	(log.f64 (-.f64 1 x))

rewrite34.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64_1403`
15×	`add-sqr-sqrt_binary64_1425`
14×	`cbrt-prod_binary64_1434`
12×	`add-cube-cbrt_binary64_1438`
11×	`pow1_binary64_1464`
10×	`log-prod_binary64_1489`
8×	`cube-prod_binary64_1431` `unpow-prod-down_binary64_1482`
7×	`add-exp-log_binary64_1441`
6×	`log-pow_binary64_1492`
5×	`add-cbrt-cube_binary64_1439`
4×	`log-div_binary64_1490` `add-log-exp_binary64_1442`
3×	`pow-unpow_binary64_1480`
2×	`cube-mult_binary64_1433` `rem-log-exp_binary64_1444` `unpow3_binary64_1469` `difference-of-squares_binary64_1372` `sqr-pow_binary64_1375`
1×	`flip3-+_binary64_1406` `rem-cube-cbrt_binary64_1426` `pow-pow_binary64_1475` `pow1/3_binary64_1485` `rem-cbrt-cube_binary64_1427` `pow-to-exp_binary64_1472` `pow-exp_binary64_1471` `flip--_binary64_1378` `flip-+_binary64_1377` `distribute-lft-out_binary64_1354` `flip3--_binary64_1407` `distribute-lft-out--_binary64_1355`

Counts

4 → 80

Calls

8 calls:

7.0ms	(log.f64 (-.f64 1 x))
6.0ms	(log.f64 (+.f64 1 x))
5.0ms	(pow.f64 (log.f64 (-.f64 1 x)) 3)
5.0ms	(cbrt.f64 (pow.f64 (log.f64 (-.f64 1 x)) 3))
0.0ms	(/.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 1 x)) 3)) (log.f64 (+.f64 1 x)))

series265.0ms (2%)

Counts

4 → 28

Calls

4 calls:

109.0ms	(pow.f64 (log.f64 (-.f64 1 x)) 3)
54.0ms	(cbrt.f64 (pow.f64 (log.f64 (-.f64 1 x)) 3))
52.0ms	(log.f64 (-.f64 1 x))
50.0ms	(log.f64 (+.f64 1 x))

Compiler

Compiled 718 to 631 computations (12.1% saved)

simplify152.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4947	1235
1	4947	1235

prune191.0ms (1.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	108	2	110

Error

Counts

110 → 2

Compiler

Compiled 1696 to 1381 computations (18.6% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	169	348
1	169	348

regimes122.0ms (0.9%)

Accuracy

Total 0.4b remaining (91.1%)

Threshold costs 0.4b (91.1%)

Compiler

Compiled 498 to 434 computations (12.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	53	13
1	53	13

end0.0ms (0%)

sample8.8s (66.3%)

Algorithm

1×

intervals

Results

4.2s	4000×	body	1024	valid
1.0s	1964×	body	512	valid
597.0ms	412×	body	2048	valid
278.0ms	1037×	body	256	valid
250.0ms	8000×	pre	128	true
67.0ms	587×	body	128	valid

Compiler

Compiled 704 to 606 computations (13.9% saved)

Pareto

-0.8010151219592885

Details

analyze2.4s (17.8%)

sample247.0ms (1.8%)

simplify171.0ms (1.3%)

prune4.0ms (0%)

localize13.0ms (0.1%)

rewrite40.0ms (0.3%)

series190.0ms (1.4%)

simplify204.0ms (1.5%)

prune248.0ms (1.9%)

localize11.0ms (0.1%)

rewrite15.0ms (0.1%)

series47.0ms (0.4%)

simplify97.0ms (0.7%)

prune31.0ms (0.2%)

localize21.0ms (0.2%)

rewrite34.0ms (0.3%)

series265.0ms (2%)

simplify152.0ms (1.1%)

prune191.0ms (1.4%)

simplify13.0ms (0.1%)

regimes122.0ms (0.9%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample8.8s (66.3%)

Profiling