Details

analyze105.0ms (2.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	22
1	192	22
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
75%	25%	0%	5
87.5%	12.5%	0%	6
93.7%	6.2%	0%	7
96.8%	3.1%	0%	8
98.4%	1.6%	0%	9
99.2%	0.8%	0%	10
99.6%	0.4%	0%	11
99.8%	0.2%	0%	12
99.9%	0.1%	0%	13
99.9%	0.1%	0.1%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample24.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	156×	body	128	valid
5.0ms	34×	body	1024	valid
4.0ms	39×	body	512	valid
2.0ms	27×	body	256	valid

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	192	22
1	192	22

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

7.7b

Counts

2 → 1

Compiler

Compiled 30 to 26 computations (13.3% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
2.2b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

rewrite335.0ms (7.2%)

Algorithm

1×	rewrite-expression-head

Error

7.0b

Rules

112×	`*-un-lft-identity_binary64_1442`
74×	`times-frac_binary64_1448`
72×	`add-sqr-sqrt_binary64_1464`
39×	`add-cube-cbrt_binary64_1477`
26×	`cancel-sign-sub-inv_binary64_1408`
18×	`distribute-lft-out--_binary64_1394`
17×	`distribute-lft-out_binary64_1393`
14×	`associate-+l+_binary64_1375` `difference-of-squares_binary64_1411`
12×	`add-exp-log_binary64_1480`
11×	`add-log-exp_binary64_1481` `associate-/r*_binary64_1386`
10×	`div-inv_binary64_1439`
8×	`add-cbrt-cube_binary64_1478`
6×	`pow1_binary64_1503` `associate-/l*_binary64_1387`
4×	`div-exp_binary64_1493` `difference-of-sqr-1_binary64_1412` `associate-/r/_binary64_1388`
3×	`frac-add_binary64_1450` `flip3--_binary64_1446` `flip--_binary64_1417`
2×	`diff-log_binary64_1534` `sum-log_binary64_1533` `frac-sub_binary64_1451` `flip3-+_binary64_1445` `flip-+_binary64_1416` `sub-neg_binary64_1435` `inv-pow_binary64_1527` `pow-flip_binary64_1516` `1-exp_binary64_1486` `rec-exp_binary64_1492` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441`
1×	`associate-+l-_binary64_1377` `+-commutative_binary64_1372`

Counts

4 → 161

Calls

4 calls:

42.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
20.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
10.0ms	(/.f64 1 (-.f64 x 1))
5.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 3810 to 3089 computations (18.9% saved)

series196.0ms (4.2%)

Error

0.4b

Counts

4 → 38

Calls

4 calls:

66.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
34.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
32.0ms	(/.f64 1 (-.f64 x 1))
29.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 1412 to 1177 computations (16.6% saved)

simplify99.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4962	2999
1	4962	2999

prune232.0ms (5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	196	3	199
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	196	4	200

Error

0.4b

Counts

200 → 4

Compiler

Compiled 3945 to 3133 computations (20.6% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2))))
0.0b	(+.f64 x (*.f64 x x))
0.0b	(-.f64 x (+.f64 2 (*.f64 x 2)))
14.6b	(+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x)))

rewrite258.0ms (5.5%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

25×	`cancel-sign-sub-inv_binary64_1408`
23×	`*-un-lft-identity_binary64_1442`
19×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
18×	`add-sqr-sqrt_binary64_1464`
16×	`add-log-exp_binary64_1481` `frac-add_binary64_1450`
12×	`frac-times_binary64_1452` `distribute-rgt-in_binary64_1392` `associate-+l+_binary64_1375` `distribute-lft-in_binary64_1391`
11×	`add-cube-cbrt_binary64_1477`
10×	`flip3--_binary64_1446` `flip--_binary64_1417`
6×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `associate-l/_binary64_1385` `associate-r/_binary64_1384` `distribute-rgt1-in_binary64_1398` `distribute-rgt-out_binary64_1395`
5×	`sum-log_binary64_1533` `sub-neg_binary64_1435` `associate-l_binary64_1383` `associate-r_binary64_1382`
2×	`+-commutative_binary64_1372` `diff-log_binary64_1534` `difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394`
1×	`associate-+r+_binary64_1374` `associate--r+_binary64_1378` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `difference-of-sqr--1_binary64_1413` `distribute-lft-out_binary64_1393` `*-commutative_binary64_1373`

Counts

4 → 116

Calls

4 calls:

16.0ms	(+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x)))
12.0ms	(.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2))))
6.0ms	(-.f64 x (+.f64 2 (*.f64 x 2)))
3.0ms	(+.f64 x (*.f64 x x))

Compiler

Compiled 4880 to 2845 computations (41.7% saved)

series156.0ms (3.3%)

Error

0.4b

Counts

4 → 24

Calls

4 calls:

69.0ms	(.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2))))
34.0ms	(+.f64 x (*.f64 x x))
24.0ms	(-.f64 x (+.f64 2 (*.f64 x 2)))
9.0ms	(+.f64 (.f64 (+.f64 x -1) (-.f64 x (+.f64 2 (.f64 x 2)))) (+.f64 x (*.f64 x x)))

Compiler

Compiled 1049 to 701 computations (33.2% saved)

simplify109.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4938	3261
1	4938	3261

prune191.0ms (4.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	139	1	140
Fresh	1	1	2
Picked	1	0	1
Done	1	0	1
Total	142	2	144

Error

0.4b

Counts

144 → 2

Compiler

Compiled 4279 to 2422 computations (43.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.4b	(/.f64 2 (-.f64 (pow.f64 x 3) x))

rewrite69.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`add-sqr-sqrt_binary64_1464`
27×	`times-frac_binary64_1448` `*-un-lft-identity_binary64_1442`
16×	`difference-of-squares_binary64_1411`
15×	`add-cube-cbrt_binary64_1477`
9×	`associate-/r*_binary64_1386`
4×	`unpow-prod-down_binary64_1521` `cube-prod_binary64_1470` `sqr-pow_binary64_1414` `unpow3_binary64_1508` `distribute-rgt-out--_binary64_1396` `distribute-lft-out--_binary64_1394`
3×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `associate-/l*_binary64_1387`
2×	`associate-/r/_binary64_1388`
1×	`pow1_binary64_1503` `div-exp_binary64_1493` `add-log-exp_binary64_1481` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439` `flip3--_binary64_1446` `flip--_binary64_1417`

Counts

1 → 53

Calls

1 calls:

9.0ms

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

Compiler

Compiled 899 to 658 computations (26.8% saved)

series45.0ms (1%)

Error

0.4b

Counts

1 → 8

Calls

1 calls:

39.0ms

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

Compiler

Compiled 228 to 201 computations (11.8% saved)

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4961	1103
1	4961	1103

prune62.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	59	4	63

Error

Counts

63 → 4

Compiler

Compiled 919 to 679 computations (26.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite133.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

141×	`times-frac_binary64_1448`
78×	`add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
64×	`add-cube-cbrt_binary64_1477`
28×	`difference-of-squares_binary64_1411`
14×	`difference-of-sqr-1_binary64_1412`
13×	`associate-/l*_binary64_1387`
8×	`div-inv_binary64_1439`
6×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `associate-/r*_binary64_1386`
3×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476`
2×	`associate-/r/_binary64_1388`
1×	`pow1_binary64_1503` `add-log-exp_binary64_1481` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `associate-/l/_binary64_1389` `flip3--_binary64_1446` `flip--_binary64_1417`

Counts

1 → 114

Calls

1 calls:

10.0ms

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

Compiler

Compiled 2334 to 1536 computations (34.2% saved)

series50.0ms (1.1%)

Error

Counts

1 → 8

Calls

1 calls:

43.0ms

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

Compiler

Compiled 228 to 201 computations (11.8% saved)

simplify70.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5042	2948

prune110.0ms (2.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	122	4	126

Error

Counts

126 → 4

Compiler

Compiled 2191 to 1457 computations (33.5% saved)

regimes216.0ms (4.6%)

Accuracy

Total 0.1b remaining (95.4%)

Threshold costs 0.1b (95.4%)

Compiler

Compiled 2702 to 2249 computations (16.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	13
1	18	13

end0.0ms (0%)

sample2.1s (44.7%)

Algorithm

1×

intervals

Results

186.0ms	1351×	body	1024	valid
169.0ms	4406×	body	128	valid
160.0ms	1451×	body	512	valid
55.0ms	792×	body	256	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 1264 to 1050 computations (16.9% saved)

Details

analyze105.0ms (2.3%)

sample24.0ms (0.5%)

simplify14.0ms (0.3%)

prune2.0ms (0.1%)

localize13.0ms (0.3%)

rewrite335.0ms (7.2%)

series196.0ms (4.2%)

simplify99.0ms (2.1%)

prune232.0ms (5%)

localize14.0ms (0.3%)

rewrite258.0ms (5.5%)

series156.0ms (3.3%)

simplify109.0ms (2.3%)

prune191.0ms (4.1%)

localize4.0ms (0.1%)

rewrite69.0ms (1.5%)

series45.0ms (1%)

simplify61.0ms (1.3%)

prune62.0ms (1.3%)

localize5.0ms (0.1%)

rewrite133.0ms (2.9%)

series50.0ms (1.1%)

simplify70.0ms (1.5%)

prune110.0ms (2.4%)

regimes216.0ms (4.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.1s (44.7%)

Profiling