Details

analyze155.0ms (7.4%)

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)

sample13.0ms (0.6%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify50.0ms (2.4%)

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 (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

46×	`*-un-lft-identity_binary64`
46×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
19×	`difference-of-squares_binary64`
14×	`add-cube-cbrt_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)

series38.0ms (1.8%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

29.0ms

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

Compiler

Compiled 446 to 305 computations (31.6% saved)

simplify103.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

834×	`div-sub_binary64`
806×	`times-frac_binary64`
403×	`sub-neg_binary64`
207×	`associate--l+_binary64`
179×	`associate-+l+_binary64`

Counts

76 → 42

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	1471
1	325	1421
2	867	1413
3	2687	1413
4	4506	1413
5	5661	1413

prune21.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Error

0.0b

Counts

43 → 3

Alt Table

Status	Error	Program
▶	1.4b	(.f64 (.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 1 y)))
	30.2b	(-.f64 (+.f64 1 (/.f64 1 y)) (/.f64 x y))
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 483 to 237 computations (50.9% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
0.6b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (-.f64 x y))

rewrite82.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`

Counts

4 → 101

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
5.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))

Compiler

Compiled 2328 to 613 computations (73.7% saved)

series135.0ms (6.5%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

43.0ms	(*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))
27.0ms	(cbrt.f64 (-.f64 x y))
25.0ms	(cbrt.f64 (-.f64 x y))
25.0ms	(cbrt.f64 (-.f64 x y))

Compiler

Compiled 2276 to 1569 computations (31.1% saved)

simplify162.0ms (7.7%)

Algorithm

1×	egg-herbie

Rules

359×	`unswap-sqr_binary64`
344×	`associate-r_binary64`
344×	`associate-l_binary64`
278×	`distribute-rgt-neg-in_binary64`
275×	`distribute-lft-neg-in_binary64`

Counts

137 → 111

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	121	1944
1	258	1944
2	630	1863
3	1930	1843
4	4243	1635
5	4725	1635
6	4898	1635
7	4986	1635

prune41.0ms (2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	110	4	114

Error

Counts

114 → 4

Alt Table

Status	Error	Program
✓	1.4b	(.f64 (.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 1 y)))
	30.2b	(-.f64 (+.f64 1 (/.f64 1 y)) (/.f64 x y))
▶	2.0b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x y))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x y))) 2)) (/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 1 y)))
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 1489 to 547 computations (63.3% saved)

localize16.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (cbrt.f64 (-.f64 x y)))
0.6b	(cbrt.f64 (cbrt.f64 (-.f64 x y)))
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x y))) 4)

rewrite76.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

44×	`cbrt-prod_binary64`
21×	`*-un-lft-identity_binary64`
21×	`add-sqr-sqrt_binary64`
13×	`add-cube-cbrt_binary64`
11×	`unpow-prod-down_binary64`

Counts

4 → 77

Calls

4 calls:

6.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x y))) 4)
4.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x y)))
4.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 x y))

Compiler

Compiled 2219 to 853 computations (61.6% saved)

series136.0ms (6.5%)

Error

Counts

4 → 28

Calls

4 calls:

43.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x y))) 4)
29.0ms	(cbrt.f64 (-.f64 x y))
25.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x y)))
23.0ms	(cbrt.f64 (cbrt.f64 (-.f64 x y)))

Compiler

Compiled 2286 to 1614 computations (29.4% saved)

simplify124.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

447×	`*-commutative_binary64`
444×	`distribute-rgt-in_binary64`
414×	`unswap-sqr_binary64`
326×	`sqr-pow_binary64`
223×	`distribute-rgt-neg-in_binary64`

Counts

105 → 66

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	130	1487
1	280	1394
2	572	1383
3	1496	1370
4	3012	1347
5	4870	1347
6	4784	1347

prune30.0ms (1.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	66	4	70

Error

Counts

70 → 4

Alt Table

Status	Error	Program
✓	1.4b	(.f64 (.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 1 y)))
▶	30.2b	(-.f64 (+.f64 1 (/.f64 1 y)) (/.f64 x y))
✓	2.0b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x y))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x y))) 2)) (/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 1 y)))
✓	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 1074 to 474 computations (55.9% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite56.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`*-un-lft-identity_binary64`
14×	`add-sqr-sqrt_binary64`
13×	`cancel-sign-sub-inv_binary64`
10×	`times-frac_binary64`
9×	`add-cube-cbrt_binary64`

Counts

2 → 46

Calls

2 calls:

13.0ms	(-.f64 (+.f64 1 (/.f64 1 y)) (/.f64 x y))
6.0ms	(+.f64 1 (/.f64 1 y))

Compiler

Compiled 782 to 492 computations (37.1% saved)

series36.0ms (1.7%)

Error

Counts

2 → 18

Calls

2 calls:

22.0ms	(-.f64 (+.f64 1 (/.f64 1 y)) (/.f64 x y))
8.0ms	(+.f64 1 (/.f64 1 y))

Compiler

Compiled 303 to 215 computations (29% saved)

simplify91.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

418×	`div-sub_binary64`
268×	`distribute-rgt-in_binary64`
250×	`distribute-lft-in_binary64`
247×	`cancel-sign-sub-inv_binary64`
242×	`exp-prod_binary64`

Counts

64 → 42

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	775
1	315	754
2	891	735
3	2851	714
4	4241	714
5	5323	714

prune17.0ms (0.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	42	4	46

Error

Counts

46 → 4

Alt Table

Status	Error	Program
	1.4b	(.f64 (.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y))) (/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 1 y)))
	30.2b	(-.f64 (+.f64 1 (/.f64 1 y)) (/.f64 x y))
	2.0b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x y))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 x y))) 2)) (/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 1 y)))
	0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 342 to 221 computations (35.4% saved)

regimes157.0ms (7.5%)

Accuracy

Total 0.0b remaining (27.2%)

Threshold costs 0.0b (27.2%)

Compiler

Compiled 1681 to 1068 computations (36.5% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_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)

sample476.0ms (22.8%)

Algorithm

1×

intervals

Results

175.0ms	7998×	body	128	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 91 to 55 computations (39.6% 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

analyze155.0ms (7.4%)

sample13.0ms (0.6%)

simplify50.0ms (2.4%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite52.0ms (2.5%)

series38.0ms (1.8%)

simplify103.0ms (4.9%)

prune21.0ms (1%)

localize9.0ms (0.4%)

rewrite82.0ms (3.9%)

series135.0ms (6.5%)

simplify162.0ms (7.7%)

prune41.0ms (2%)

localize16.0ms (0.8%)

rewrite76.0ms (3.6%)

series136.0ms (6.5%)

simplify124.0ms (5.9%)

prune30.0ms (1.5%)

localize5.0ms (0.3%)

rewrite56.0ms (2.7%)

series36.0ms (1.7%)

simplify91.0ms (4.3%)

prune17.0ms (0.8%)

regimes157.0ms (7.5%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample476.0ms (22.8%)

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