Details

analyze332.0ms (6.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4005	15
1	4005	15
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Symmetry

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample82.0ms (1.7%)

Algorithm

1×

intervals

Results

48.0ms	128×	body	1024	valid
15.0ms	69×	body	512	valid
5.0ms	10×	body	2048	valid
4.0ms	35×	body	256	valid
1.0ms	14×	body	128	valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify248.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (239.0ms)

Iter	Nodes	Cost
0	4005	15
1	4005	15

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

58.8b

Counts

2 → 1

Compiler

Compiled 20 to 18 computations (10% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
5.3b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite140.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

58.7b

Rules

78×	`*-un-lft-identity_binary64_1442`
52×	`add-sqr-sqrt_binary64_1464`
48×	`times-frac_binary64_1448`
30×	`log-prod_binary64_1528`
25×	`add-cube-cbrt_binary64_1477`
18×	`difference-of-squares_binary64_1411`
13×	`distribute-lft-out_binary64_1393`
9×	`distribute-lft-out--_binary64_1394`
7×	`add-exp-log_binary64_1480`
6×	`associate-/r*_binary64_1386`
4×	`associate-/r/_binary64_1388` `add-cbrt-cube_binary64_1478` `associate-/l*_binary64_1387`
3×	`pow1_binary64_1503`
2×	`div-inv_binary64_1439` `flip3--_binary64_1446` `flip--_binary64_1417` `div-exp_binary64_1493` `rem-log-exp_binary64_1483` `add-log-exp_binary64_1481` `associate-/l/_binary64_1389`
1×	`log-pow_binary64_1531` `log-div_binary64_1529` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `flip3-+_binary64_1445` `flip-+_binary64_1416`

Counts

2 → 91

Calls

2 calls:

8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
8.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 1776 to 1426 computations (19.7% saved)

series80.0ms (1.6%)

Error

0.0b

Counts

2 → 14

Calls

2 calls:

42.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))
26.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

Compiler

Compiled 338 to 315 computations (6.8% saved)

simplify74.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5617	1927

prune99.0ms (2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	2	106

Error

0.0b

Counts

106 → 2

Compiler

Compiled 1762 to 1398 computations (20.7% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.1b	(*.f64 2/3 (pow.f64 x 3))

rewrite38.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`add-sqr-sqrt_binary64_1464` `associate-r_binary64_1382`
6×	`add-exp-log_binary64_1480`
5×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
4×	`unpow-prod-down_binary64_1521` `unswap-sqr_binary64_1410` `cube-prod_binary64_1470`
3×	`prod-exp_binary64_1491` `add-cbrt-cube_binary64_1478` `associate-l_binary64_1383`
2×	`sqr-pow_binary64_1414`
1×	`pow1_binary64_1503` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `add-log-exp_binary64_1481` `cbrt-unprod_binary64_1475` `unpow3_binary64_1508` `cube-mult_binary64_1472` `*-commutative_binary64_1373`

Counts

1 → 31

Calls

1 calls:

7.0ms

(*.f64 2/3 (pow.f64 x 3))

Compiler

Compiled 531 to 369 computations (30.5% saved)

series31.0ms (0.6%)

Error

0.0b

Counts

1 → 3

Calls

1 calls:

29.0ms

(*.f64 2/3 (pow.f64 x 3))

Compiler

Compiled 99 to 77 computations (22.2% saved)

simplify86.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4924	305
1	4924	305

prune28.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Error

0.0b

Counts

36 → 2

Compiler

Compiled 518 to 339 computations (34.6% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 x 1)) (log.f64 (-.f64 1 x)))
5.3b	(log.f64 (-.f64 1 x))
5.3b	(log.f64 (+.f64 x 1))

rewrite93.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`*-un-lft-identity_binary64_1442`
20×	`log-prod_binary64_1528`
16×	`add-sqr-sqrt_binary64_1464`
10×	`pow1_binary64_1503`
8×	`log-div_binary64_1529` `add-cube-cbrt_binary64_1477`
7×	`log-pow_binary64_1531`
6×	`distribute-lft-out--_binary64_1394` `associate--r+_binary64_1378`
5×	`add-exp-log_binary64_1480` `difference-of-squares_binary64_1411`
4×	`cancel-sign-sub-inv_binary64_1408` `associate--l+_binary64_1379`
3×	`add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478` `flip3--_binary64_1446` `flip--_binary64_1417`
2×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `distribute-lft-out_binary64_1393` `rem-log-exp_binary64_1483` `associate--r-_binary64_1381` `associate--l-_binary64_1380`
1×	`diff-log_binary64_1534` `sub-neg_binary64_1435`

Counts

3 → 66

Calls

3 calls:

10.0ms	(-.f64 (log.f64 (+.f64 x 1)) (log.f64 (-.f64 1 x)))
5.0ms	(log.f64 (+.f64 x 1))
3.0ms	(log.f64 (-.f64 1 x))

Compiler

Compiled 1212 to 996 computations (17.8% saved)

series129.0ms (2.6%)

Error

0.0b

Counts

3 → 20

Calls

3 calls:

58.0ms	(-.f64 (log.f64 (+.f64 x 1)) (log.f64 (-.f64 1 x)))
28.0ms	(log.f64 (-.f64 1 x))
27.0ms	(log.f64 (+.f64 x 1))

Compiler

Compiled 687 to 594 computations (13.5% saved)

simplify100.0ms (2%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4876	1139
1	4876	1139

prune76.0ms (1.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	86	2	88

Error

0.0b

Counts

88 → 2

Compiler

Compiled 1356 to 1095 computations (19.2% saved)

regimes192.0ms (3.9%)

Accuracy

Total 0.3b remaining (92.5%)

Threshold costs 0.3b (92.5%)

Compiler

Compiled 2287 to 1968 computations (13.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	15	16

Removed

()

end0.0ms (0%)

sample3.1s (62.5%)

Algorithm

1×

intervals

Results

1.5s	3999×	body	1024	valid
434.0ms	1973×	body	512	valid
228.0ms	418×	body	2048	valid
127.0ms	1030×	body	256	valid
33.0ms	580×	body	128	valid

Compiler

Compiled 522 to 451 computations (13.6% saved)

Details

analyze332.0ms (6.7%)

sample82.0ms (1.7%)

simplify248.0ms (5%)

prune3.0ms (0.1%)

localize7.0ms (0.1%)

rewrite140.0ms (2.8%)

series80.0ms (1.6%)

simplify74.0ms (1.5%)

prune99.0ms (2%)

localize6.0ms (0.1%)

rewrite38.0ms (0.8%)

series31.0ms (0.6%)

simplify86.0ms (1.7%)

prune28.0ms (0.6%)

localize7.0ms (0.2%)

rewrite93.0ms (1.9%)

series129.0ms (2.6%)

simplify100.0ms (2%)

prune76.0ms (1.5%)

regimes192.0ms (3.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.1s (62.5%)

Profiling