Details

analyze236.0ms (3.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	20
1	45	20
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
62.4%	32.8%	4.8%	8
69.5%	22.6%	7.9%	9
74.5%	16.4%	9.1%	10
78.2%	11.1%	10.6%	11
80.9%	8.2%	10.9%	12
82.8%	5.5%	11.7%	13
84.1%	4.1%	11.8%	14

Symmetry

(sort x y)

Compiler

Compiled 8 to 6 computations (25% saved)

sample141.0ms (2.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	39×	body	128	invalid

Compiler

Compiled 2375 to 2373 computations (0.1% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	45	10
1	45	10

prune2.0ms (0%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) x)
0.0b	(+.f64 (+.f64 (*.f64 x y) x) y)

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-log-exp_binary64_1481`
4×	`sum-log_binary64_1533` `*-un-lft-identity_binary64_1442`
2×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `flip3-+_binary64_1445` `flip-+_binary64_1416` `+-commutative_binary64_1372`
1×	`distribute-lft-out_binary64_1393` `associate-+l+_binary64_1375`

Counts

2 → 25

Calls

2 calls:

6.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
4.0ms	(+.f64 (*.f64 x y) x)

Compiler

Compiled 363 to 90 computations (75.2% saved)

series175.0ms (2.9%)

Error

0.0b

Counts

2 → 21

Calls

2 calls:

95.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
70.0ms	(+.f64 (*.f64 x y) x)

Compiler

Compiled 322 to 197 computations (38.8% saved)

simplify46.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4983	484
1	4983	484

prune31.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	43	3	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	4	47

Error

Counts

47 → 4

Compiler

Compiled 483 to 117 computations (75.8% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 y (*.f64 y x))

rewrite11.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64_1481`
1×	`sum-log_binary64_1533` `pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `flip3-+_binary64_1445` `*-un-lft-identity_binary64_1442` `flip-+_binary64_1416` `+-commutative_binary64_1372`

Counts

1 → 11

Calls

1 calls:

3.0ms

(+.f64 y (*.f64 y x))

Compiler

Compiled 136 to 39 computations (71.3% saved)

series80.0ms (1.3%)

Error

Counts

1 → 9

Calls

1 calls:

75.0ms

(+.f64 y (*.f64 y x))

Compiler

Compiled 104 to 75 computations (27.9% saved)

simplify76.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4902	184
1	4902	184

prune14.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	21	3	24

Error

Counts

24 → 3

Compiler

Compiled 174 to 98 computations (43.7% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x 1) y)

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

5×	`add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
4×	`associate-l_binary64_1383`
3×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `add-cube-cbrt_binary64_1477` `associate-r_binary64_1382`
2×	`associate-*l/_binary64_1385`
1×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `add-log-exp_binary64_1481` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `flip3-+_binary64_1445` `flip-+_binary64_1416` `distribute-lft-out_binary64_1393` `*-commutative_binary64_1373`

Counts

1 → 21

Calls

1 calls:

6.0ms

(*.f64 (+.f64 x 1) y)

Compiler

Compiled 235 to 162 computations (31.1% saved)

series82.0ms (1.3%)

Error

Counts

1 → 9

Calls

1 calls:

78.0ms

(*.f64 (+.f64 x 1) y)

Compiler

Compiled 104 to 75 computations (27.9% saved)

simplify79.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4965	253
1	4965	253

prune18.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	30	3	33

Error

Counts

33 → 3

Compiler

Compiled 256 to 110 computations (57% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

4.0b	(.f64 y (-.f64 (.f64 x x) 1))
8.8b	(/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1))

rewrite89.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-sqr-sqrt_binary64_1464`
15×	`*-un-lft-identity_binary64_1442`
9×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
8×	`add-cube-cbrt_binary64_1477`
7×	`times-frac_binary64_1448` `associate-/r*_binary64_1386`
6×	`difference-of-squares_binary64_1411` `cancel-sign-sub-inv_binary64_1408` `associate-r_binary64_1382`
4×	`pow1_binary64_1503` `associate-*r/_binary64_1384` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
3×	`difference-of-sqr-1_binary64_1412` `flip3--_binary64_1446` `flip--_binary64_1417` `associate-l_binary64_1383`
2×	`prod-exp_binary64_1491` `div-exp_binary64_1493` `add-log-exp_binary64_1481` `cbrt-undiv_binary64_1476` `cbrt-unprod_binary64_1475` `distribute-lft-out--_binary64_1394` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `sub-neg_binary64_1435`
1×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/l_binary64_1387` `pow-prod-down_binary64_1513` `unswap-sqr_binary64_1410` `-commutative_binary64_1373`

Counts

2 → 64

Calls

2 calls:

11.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1))
8.0ms	(.f64 y (-.f64 (.f64 x x) 1))

Compiler

Compiled 1199 to 711 computations (40.7% saved)

series342.0ms (5.6%)

Error

Counts

2 → 18

Calls

2 calls:

202.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1))
130.0ms	(.f64 y (-.f64 (.f64 x x) 1))

Compiler

Compiled 406 to 319 computations (21.4% saved)

simplify55.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4955	991
1	4955	991

prune66.0ms (1.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	82	3	85

Error

Counts

85 → 3

Compiler

Compiled 1078 to 613 computations (43.1% saved)

regimes102.0ms (1.7%)

Accuracy

Total 0.0b remaining (96.9%)

Threshold costs 0.0b (96.9%)

Compiler

Compiled 690 to 423 computations (38.7% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

Remove

(sort x y)

Compiler

Compiled 14 to 10 computations (28.6% saved)

end0.0ms (0%)

sample4.4s (71.8%)

Algorithm

1×

intervals

Results

156.0ms	7998×	body	128	valid
27.0ms	1155×	body	128	invalid
0.0ms	2×	body	1024	valid

Compiler

Compiled 73479 to 73388 computations (0.1% saved)

Details

analyze236.0ms (3.8%)

sample141.0ms (2.3%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite29.0ms (0.5%)

series175.0ms (2.9%)

simplify46.0ms (0.7%)

prune31.0ms (0.5%)

localize3.0ms (0.1%)

rewrite11.0ms (0.2%)

series80.0ms (1.3%)

simplify76.0ms (1.2%)

prune14.0ms (0.2%)

localize3.0ms (0.1%)

rewrite25.0ms (0.4%)

series82.0ms (1.3%)

simplify79.0ms (1.3%)

prune18.0ms (0.3%)

localize9.0ms (0.1%)

rewrite89.0ms (1.5%)

series342.0ms (5.6%)

simplify55.0ms (0.9%)

prune66.0ms (1.1%)

regimes102.0ms (1.7%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample4.4s (71.8%)

Profiling