Details

analyze414.0ms (30.9%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
43.7%	56.2%	0.1%	9
54.6%	39%	6.4%	10
58.5%	35.1%	6.4%	11
67.3%	26.3%	6.4%	12
71.7%	18.8%	9.5%	13
74.1%	16.4%	9.5%	14

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample56.0ms (4.2%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 24 to 18 computations (25% saved)

simplify16.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

56×	`cancel-sign-sub-inv_binary64`
36×	`distribute-rgt-neg-in_binary64`
30×	`sub-neg_binary64`
20×	`distribute-lft-neg-in_binary64`
19×	`distribute-rgt-in_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	17	10
2	43	10
3	82	10
4	94	10
5	129	10
6	151	10
7	172	10
8	244	10
9	248	10
10	254	10
11	209	10

prune4.0ms (0.3%)

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

0.3b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.3b	(-.f64 x (.f64 (.f64 y 4) z))

Compiler

Compiled 20 to 14 computations (30% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 y 4) z)

rewrite12.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
3×	`associate-r_binary64`
3×	`cbrt-unprod_binary64`

Counts

1 → 18

Calls

1 calls:

4.0ms

(*.f64 (*.f64 y 4) z)

Compiler

Compiled 205 to 130 computations (36.6% saved)

series18.0ms (1.4%)

Error

Counts

1 → 6

Calls

1 calls:

16.0ms

(*.f64 (*.f64 y 4) z)

Compiler

Compiled 130 to 91 computations (30% saved)

simplify75.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

552×	`associate-/l/_binary64`
525×	`associate-l_binary64`
474×	`cube-div_binary64`
474×	`log-div_binary64`
406×	`log-prod_binary64`

Counts

24 → 14

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	236
1	97	200
2	369	200
3	994	200
4	1186	200
5	1378	200
6	1625	200
7	2899	200
8	4229	200
9	4926	200

prune8.0ms (0.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	1	15

Error

Counts

15 → 1

Alt Table

Status	Error	Program
▶	0b	(-.f64 x (pow.f64 (.f64 4 (.f64 y z)) 1))

Compiler

Compiled 133 to 80 computations (39.8% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 4 (.f64 y z))

rewrite13.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
3×	`associate-l_binary64`
3×	`cbrt-unprod_binary64`

Counts

1 → 18

Calls

1 calls:

4.0ms

(*.f64 4 (*.f64 y z))

Compiler

Compiled 226 to 145 computations (35.8% saved)

series10.0ms (0.8%)

Error

Counts

1 → 6

Calls

1 calls:

10.0ms

(*.f64 4 (*.f64 y z))

Compiler

Compiled 156 to 117 computations (25% saved)

simplify87.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

395×	`associate-*l/_binary64`
335×	`*-commutative_binary64`
334×	`associate-l_binary64`
333×	`log-div_binary64`
268×	`cube-div_binary64`

Counts

24 → 7

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	232
1	83	196
2	253	196
3	644	196
4	817	196
5	959	196
6	1163	196
7	2617	196
8	4010	196
9	4962	196
10	4970	196

prune3.0ms (0.2%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	7	0	7
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	7	1	8

Error

Counts

8 → 1

Alt Table

Status	Error	Program
	0b	(-.f64 x (pow.f64 (.f64 4 (.f64 y z)) 1))

Compiler

Compiled 66 to 48 computations (27.3% saved)

regimes49.0ms (3.7%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Compiler

Compiled 384 to 276 computations (28.1% saved)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
5×	`+-commutative_binary64`
5×	`sub-neg_binary64`
4×	`distribute-lft-neg-in_binary64`
4×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	16	10
2	27	10
3	37	10
4	44	10
5	49	10
6	51	10
7	49	10

end6.0ms (0.4%)

Remove: (sort y z)
Compiler: Compiled 30 to 21 computations (30% saved)

sample552.0ms (41.3%)

Algorithm

1×

intervals

Results

224.0ms	8000×	body	128	valid
8.0ms	307×	body	128	invalid

Compiler

Compiled 36 to 27 computations (25% saved)

Iter	Nodes	Cost
0	8	10
1	17	10
2	43	10
3	82	10
4	94	10
5	129	10
6	151	10
7	172	10
8	244	10
9	248	10
10	254	10
11	209	10

Iter	Nodes	Cost
0	8	10
1	17	10
2	43	10
3	82	10
4	94	10
5	129	10
6	151	10
7	172	10
8	244	10
9	248	10
10	254	10
11	209	10

Details

analyze414.0ms (30.9%)

sample56.0ms (4.2%)

simplify16.0ms (1.2%)

prune4.0ms (0.3%)

localize5.0ms (0.3%)

rewrite12.0ms (0.9%)

series18.0ms (1.4%)

simplify75.0ms (5.6%)

prune8.0ms (0.6%)

localize6.0ms (0.4%)

rewrite13.0ms (1%)

series10.0ms (0.8%)

simplify87.0ms (6.5%)

prune3.0ms (0.2%)

regimes49.0ms (3.7%)

simplify4.0ms (0.3%)

end6.0ms (0.4%)

sample552.0ms (41.3%)

Profiling

Iter	Nodes	Cost
0	8	10
1	17	10
2	43	10
3	82	10
4	94	10
5	129	10
6	151	10
7	172	10
8	244	10
9	248	10
10	254	10
11	209	10