Details

analyze149.0ms (8.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
46.8%	53.1%	0.1%	6
78%	21.9%	0.1%	7
82.7%	17.2%	0.1%	8
89%	10.9%	0.1%	9
91.3%	8.6%	0.1%	10
94.4%	5.5%	0.1%	11
95.6%	4.3%	0.1%	12
97.2%	2.7%	0.1%	13
97.8%	2.1%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample15.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	255×	body	128	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify51.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

346×	`div-sub_binary64`
278×	`times-frac_binary64`
129×	`sub-neg_binary64`
103×	`associate-/r/_binary64`
101×	`associate-/l*_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	15	10
2	22	10
3	35	10
4	59	10
5	99	10
6	176	10
7	324	10
8	566	10
9	739	10
10	832	10
11	780	10
12	782	10
13	782	10
14	690	10

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))

rewrite52.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

46×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
30×	`times-frac_binary64`
19×	`difference-of-squares_binary64`
14×	`add-cube-cbrt_binary64`
13×	`distribute-lft-out--_binary64`

Counts

1 → 58

Calls

1 calls:

9.0ms

(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 774 to 380 computations (50.9% saved)

series37.0ms (2%)

Error

0.0b

Counts

1 → 16

Calls

1 calls:

28.0ms

(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 413 to 282 computations (31.7% saved)

simplify101.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

789×	`div-sub_binary64`
739×	`times-frac_binary64`
292×	`sub-neg_binary64`
150×	`distribute-rgt-in_binary64`
134×	`associate--l+_binary64`

Counts

74 → 40

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	1373
1	301	1323
2	779	1315
3	2259	1300
4	4487	1300
5	5595	1300

prune20.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	3	41

Error

Counts

41 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
▶	20.8b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))
	30.6b	(-.f64 (+.f64 x (*.f64 y x)) y)

Compiler

Compiled 420 to 210 computations (50% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
0.1b	(pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)
19.9b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))

rewrite161.0ms (8.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

206×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
150×	`times-frac_binary64`
83×	`difference-of-squares_binary64`
78×	`cbrt-prod_binary64`
72×	`unpow-prod-down_binary64` `cube-prod_binary64`

Counts

3 → 238

Calls

3 calls:

15.0ms	(pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)
14.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))
9.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 2799 to 1644 computations (41.3% saved)

series153.0ms (8.3%)

Error

Counts

3 → 56

Calls

3 calls:

59.0ms	(pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)
31.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))
30.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 2255 to 1718 computations (23.8% saved)

simplify248.0ms (13.5%)

Algorithm

1×	egg-herbie

Rules

415×	`unswap-sqr_binary64`
257×	`log-prod_binary64`
191×	`sub-neg_binary64`
178×	`sqr-pow_binary64`
147×	`associate-/l*_binary64`

Counts

294 → 233

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	319	7122
1	929	6742
2	3221	6681
3	4597	6681
4	5001	6681

prune69.0ms (3.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	233	0	233
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	233	3	236

Error

Counts

236 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
✓	20.8b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))
▶	30.6b	(-.f64 (+.f64 x (*.f64 y x)) y)

Compiler

Compiled 1918 to 1073 computations (44.1% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite28.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-log-exp_binary64`
6×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
3×	`add-cube-cbrt_binary64` `cancel-sign-sub-inv_binary64`
2×	`sum-log_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `diff-log_binary64`

Counts

2 → 31

Calls

2 calls:

6.0ms	(-.f64 (+.f64 x (*.f64 y x)) y)
3.0ms	(+.f64 x (*.f64 y x))

Compiler

Compiled 427 to 113 computations (73.5% saved)

series39.0ms (2.1%)

Error

Counts

2 → 21

Calls

2 calls:

18.0ms	(-.f64 (+.f64 x (*.f64 y x)) y)
15.0ms	(+.f64 x (*.f64 y x))

Compiler

Compiled 325 to 191 computations (41.2% saved)

simplify81.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

388×	`distribute-rgt-out_binary64`
357×	`neg-mul-1_binary64`
354×	`associate-l_binary64`
297×	`associate-r_binary64`
249×	`distribute-rgt-in_binary64`

Counts

52 → 38

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	74	570
1	180	546
2	527	537
3	2130	537
4	4485	537
5	5210	537

prune16.0ms (0.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	38	3	41

Error

Counts

41 → 3

Alt Table

Status	Error	Program
	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
	20.8b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))
	30.6b	(-.f64 (+.f64 x (*.f64 y x)) y)

Compiler

Compiled 324 to 197 computations (39.2% saved)

regimes121.0ms (6.6%)

Accuracy

Total -0.0b remaining (-18.2%)

Threshold costs -0.0b (-18.2%)

Compiler

Compiled 1057 to 725 computations (31.4% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg_binary64` `+-commutative_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64` `*-commutative_binary64`
1×	`1-exp_binary64` `distribute-neg-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	14	16
2	22	16
3	26	16
4	28	16
5	27	16

end1.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

sample469.0ms (25.6%)

Algorithm

1×

intervals

Results

187.0ms	7996×	body	128	valid
0.0ms	3×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 55 to 38 computations (30.9% saved)

Iter	Nodes	Cost
0	7	10
1	15	10
2	22	10
3	35	10
4	59	10
5	99	10
6	176	10
7	324	10
8	566	10
9	739	10
10	832	10
11	780	10
12	782	10
13	782	10
14	690	10

Iter	Nodes	Cost
0	7	10
1	15	10
2	22	10
3	35	10
4	59	10
5	99	10
6	176	10
7	324	10
8	566	10
9	739	10
10	832	10
11	780	10
12	782	10
13	782	10
14	690	10

Details

analyze149.0ms (8.1%)

sample15.0ms (0.8%)

simplify51.0ms (2.8%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite52.0ms (2.9%)

series37.0ms (2%)

simplify101.0ms (5.5%)

prune20.0ms (1.1%)

localize7.0ms (0.4%)

rewrite161.0ms (8.8%)

series153.0ms (8.3%)

simplify248.0ms (13.5%)

prune69.0ms (3.8%)

localize4.0ms (0.2%)

rewrite28.0ms (1.5%)

series39.0ms (2.1%)

simplify81.0ms (4.4%)

prune16.0ms (0.9%)

regimes121.0ms (6.6%)

simplify4.0ms (0.2%)

end1.0ms (0%)

sample469.0ms (25.6%)

Profiling

Iter	Nodes	Cost
0	7	10
1	15	10
2	22	10
3	35	10
4	59	10
5	99	10
6	176	10
7	324	10
8	566	10
9	739	10
10	832	10
11	780	10
12	782	10
13	782	10
14	690	10