Details

analyze347.0ms (6.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

Compiler

Compiled 25 to 18 computations (28% saved)

sample36.0ms (0.7%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
6.0ms	260×	pre	128	true
0.0ms	4×	body	128	invalid

Compiler

Compiled 42 to 31 computations (26.2% saved)

simplify97.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1334×	`unsub-neg_binary64`
587×	`sub-neg_binary64`
522×	`div-sub_binary64`
483×	`distribute-neg-out_binary64`
441×	`distribute-rgt-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	20	19
2	46	19
3	108	19
4	319	19
5	1081	19
6	2911	19
7	3254	19
8	3891	19
9	4728	19
10	4924	19

prune5.0ms (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

0.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

Compiler

Compiled 45 to 33 computations (26.7% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.1b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

rewrite172.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

27×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64` `associate-r_binary64`
10×	`associate-l_binary64`

Counts

3 → 95

Calls

3 calls:

17.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
7.0ms	(*.f64 m (-.f64 1 m))
7.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)

Compiler

Compiled 2048 to 1400 computations (31.6% saved)

series105.0ms (2%)

Error

0.0b

Counts

3 → 33

Calls

3 calls:

45.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
28.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
11.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 949 to 668 computations (29.6% saved)

simplify105.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

710×	`distribute-rgt-in_binary64`
661×	`distribute-lft-in_binary64`
214×	`associate-/r*_binary64`
205×	`associate-/l/_binary64`
159×	`associate-l_binary64`

Counts

128 → 109

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	183	2269
1	461	2160
2	1593	2134
3	4741	2129
4	5017	2129

prune100.0ms (1.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	105	5	110

Error

Counts

110 → 5

Alt Table

Status	Error	Program
	15.4b	(/.f64 (.f64 (-.f64 1 m) (+.f64 -1 (.f64 (/.f64 m v) (/.f64 (.f64 (-.f64 m (.f64 m m)) (-.f64 1 m)) v)))) (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))
	0.2b	(.f64 (.f64 (+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m))) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))
▶	0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
✓	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
	0.1b	(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m)) v) 1) (-.f64 1 m))

Compiler

Compiled 1561 to 960 computations (38.5% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
0.0b	(+.f64 m (/.f64 m v))
0.2b	(*.f64 (/.f64 m v) m)
7.2b	(/.f64 (pow.f64 m 3) v)

rewrite249.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

49×	`*-un-lft-identity_binary64`
46×	`times-frac_binary64`
43×	`add-sqr-sqrt_binary64`
38×	`add-cube-cbrt_binary64`
24×	`add-log-exp_binary64`

Counts

4 → 139

Calls

4 calls:

30.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
7.0ms	(*.f64 (/.f64 m v) m)
6.0ms	(+.f64 m (/.f64 m v))
5.0ms	(/.f64 (pow.f64 m 3) v)

Compiler

Compiled 4082 to 1801 computations (55.9% saved)

series124.0ms (2.4%)

Error

Counts

4 → 39

Calls

4 calls:

43.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
22.0ms	(/.f64 (pow.f64 m 3) v)
22.0ms	(+.f64 m (/.f64 m v))
20.0ms	(*.f64 (/.f64 m v) m)

Compiler

Compiled 1488 to 976 computations (34.4% saved)

simplify147.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

435×	`cancel-sign-sub-inv_binary64`
287×	`unswap-sqr_binary64`
248×	`associate-r_binary64`
220×	`associate-l_binary64`
203×	`log-prod_binary64`

Counts

178 → 129

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	292	3680
1	744	3513
2	3099	3479
3	4912	3479
4	5093	3479

prune124.0ms (2.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	129	5	134

Error

Counts

134 → 5

Alt Table

Status	Error	Program
	0.1b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (*.f64 (pow.f64 m 3/2) (/.f64 (pow.f64 m 3/2) v)))
	0.2b	(.f64 (.f64 (+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m))) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))
✓	0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
✓	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
▶	0.1b	(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m)) v) 1) (-.f64 1 m))

Compiler

Compiled 2621 to 1176 computations (55.1% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 m (pow.f64 m 3))
0.1b	(/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m)) v)
0.1b	(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m)) v) 1) (-.f64 1 m))
0.1b	(/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m))

rewrite561.0ms (10.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

315×	`times-frac_binary64`
305×	`add-sqr-sqrt_binary64`
291×	`*-un-lft-identity_binary64`
125×	`add-cube-cbrt_binary64`
96×	`difference-of-squares_binary64`

Counts

4 → 329

Calls

4 calls:

60.0ms	(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m)) v) 1) (-.f64 1 m))
18.0ms	(/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m)) v)
12.0ms	(/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m))
7.0ms	(-.f64 m (pow.f64 m 3))

Compiler

Compiled 7545 to 5222 computations (30.8% saved)

series143.0ms (2.8%)

Error

Counts

4 → 39

Calls

4 calls:

55.0ms	(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m)) v) 1) (-.f64 1 m))
39.0ms	(/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m)) v)
15.0ms	(/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m))
14.0ms	(-.f64 m (pow.f64 m 3))

Compiler

Compiled 1348 to 960 computations (28.8% saved)

simplify377.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

341×	`div-sub_binary64`
308×	`exp-prod_binary64` `associate-/l/_binary64`
255×	`sub-neg_binary64`
198×	`associate-/l*_binary64`
189×	`associate-l_binary64`

Counts

368 → 341

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	463	10421
1	1090	10079
2	3836	10079
3	4738	9903
4	4774	9903
5	4950	9903

prune302.0ms (5.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	341	0	341
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	341	5	346

Error

Counts

346 → 5

Alt Table

Status	Error	Program
▶	0.1b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (*.f64 (pow.f64 m 3/2) (/.f64 (pow.f64 m 3/2) v)))
	0.2b	(.f64 (.f64 (+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m))) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))
✓	0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
✓	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
✓	0.1b	(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m)) v) 1) (-.f64 1 m))

Compiler

Compiled 5520 to 3771 computations (31.7% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 m (/.f64 m v))
0.2b	(*.f64 (/.f64 m v) m)
0.2b	(*.f64 (pow.f64 m 3/2) (/.f64 (pow.f64 m 3/2) v))
13.1b	(/.f64 (pow.f64 m 3/2) v)

rewrite312.0ms (6.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

75×	`add-sqr-sqrt_binary64`
61×	`times-frac_binary64`
46×	`*-un-lft-identity_binary64`
44×	`add-cube-cbrt_binary64`
40×	`add-exp-log_binary64`

Counts

4 → 156

Calls

4 calls:

12.0ms	(*.f64 (pow.f64 m 3/2) (/.f64 (pow.f64 m 3/2) v))
8.0ms	(+.f64 m (/.f64 m v))
7.0ms	(*.f64 (/.f64 m v) m)
5.0ms	(/.f64 (pow.f64 m 3/2) v)

Compiler

Compiled 4875 to 2482 computations (49.1% saved)

series107.0ms (2.1%)

Error

Counts

4 → 27

Calls

4 calls:

28.0ms	(/.f64 (pow.f64 m 3/2) v)
24.0ms	(+.f64 m (/.f64 m v))
23.0ms	(*.f64 (pow.f64 m 3/2) (/.f64 (pow.f64 m 3/2) v))
21.0ms	(*.f64 (/.f64 m v) m)

Compiler

Compiled 1567 to 1027 computations (34.5% saved)

simplify170.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

840×	`times-frac_binary64`
554×	`unswap-sqr_binary64`
455×	`*-commutative_binary64`
413×	`associate-/l/_binary64`
227×	`associate-/r*_binary64`

Counts

183 → 126

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	227	2521
1	499	2342
2	1615	2236
3	3565	2236
4	4749	2236
5	4968	2236
6	4954	2236

prune127.0ms (2.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	126	5	131

Error

Counts

131 → 5

Alt Table

Status	Error	Program
	0.1b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (*.f64 (pow.f64 m 3/2) (/.f64 (pow.f64 m 3/2) v)))
	0.2b	(.f64 (.f64 (+.f64 -1 (*.f64 (/.f64 m v) (-.f64 1 m))) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))
	0.0b	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
	0.1b	(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m)) v) 1) (-.f64 1 m))

Compiler

Compiled 2267 to 1167 computations (48.5% saved)

regimes450.0ms (8.8%)

Accuracy

Total 0.0b remaining (81.8%)

Threshold costs 0.0b (81.8%)

Compiler

Compiled 6631 to 4729 computations (28.7% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
7×	`*-commutative_binary64`
6×	`sub-neg_binary64`
5×	`neg-mul-1_binary64` `neg-sub0_binary64`
4×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	24	31
2	32	31
3	44	31
4	55	31
5	63	31
6	68	31
7	70	31
8	67	31

end1.0ms (0%)

Compiler: Compiled 23 to 14 computations (39.1% saved)

sample908.0ms (17.7%)

Algorithm

1×

intervals

Results

294.0ms	8000×	body	128	valid
168.0ms	8056×	pre	128	true
2.0ms	56×	body	128	invalid

Compiler

Compiled 155 to 105 computations (32.3% saved)

Details

analyze347.0ms (6.8%)

sample36.0ms (0.7%)

simplify97.0ms (1.9%)

prune5.0ms (0.1%)

localize9.0ms (0.2%)

rewrite172.0ms (3.3%)

series105.0ms (2%)

simplify105.0ms (2.1%)

prune100.0ms (1.9%)

localize13.0ms (0.3%)

rewrite249.0ms (4.8%)

series124.0ms (2.4%)

simplify147.0ms (2.9%)

prune124.0ms (2.4%)

localize14.0ms (0.3%)

rewrite561.0ms (10.9%)

series143.0ms (2.8%)

simplify377.0ms (7.4%)

prune302.0ms (5.9%)

localize17.0ms (0.3%)

rewrite312.0ms (6.1%)

series107.0ms (2.1%)

simplify170.0ms (3.3%)

prune127.0ms (2.5%)

regimes450.0ms (8.8%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample908.0ms (17.7%)

Profiling