Details

analyze380.0ms (8.4%)

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 23 to 16 computations (30.4% saved)

sample28.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	259×	pre	128	true
8.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 38 to 27 computations (28.9% saved)

simplify125.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

724×	`associate-/r/_binary64`
530×	`unsub-neg_binary64`
520×	`distribute-rgt-in_binary64`
518×	`div-sub_binary64`
438×	`sub-neg_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	20	16
2	39	16
3	72	16
4	207	16
5	430	16
6	715	16
7	1126	16
8	955	16
9	1077	16
10	1417	16
11	1909	16
12	2195	16
13	3288	16
14	3288	16
15	3681	16
16	4740	16

prune3.0ms (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

0.2b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

Compiler

Compiled 39 to 27 computations (30.8% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite186.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 96

Calls

4 calls:

12.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
9.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
7.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1708 to 1122 computations (34.3% saved)

series129.0ms (2.8%)

Error

0.1b

Counts

4 → 45

Calls

4 calls:

41.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
34.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
23.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
10.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1026 to 692 computations (32.6% saved)

simplify142.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

413×	`div-sub_binary64`
344×	`associate-*l/_binary64`
336×	`distribute-rgt-in_binary64`
316×	`distribute-lft-in_binary64`
225×	`*-commutative_binary64`

Counts

141 → 119

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	1933
1	375	1809
2	1187	1757
3	3682	1752
4	4997	1752
5	4999	1752
6	4973	1752

prune100.0ms (2.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	111	8	119
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	8	120

Error

0.0b

Counts

120 → 8

Alt Table

Status	Error	Program
	8.5b	(.f64 (+.f64 (sqrt.f64 (/.f64 (.f64 m (-.f64 1 m)) v)) 1) (.f64 m (+.f64 -1 (sqrt.f64 (/.f64 (-.f64 m (.f64 m m)) v)))))
	19.0b	(/.f64 (.f64 m (+.f64 -1 (pow.f64 (/.f64 (-.f64 m (.f64 m m)) v) 3))) (+.f64 (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (/.f64 (.f64 m (-.f64 1 m)) v)) (+.f64 (.f64 1 1) (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1))))
	0.2b	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) m)
	0.5b	(.f64 (.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)) (sqrt.f64 m)) (sqrt.f64 m))
	0.7b	(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)) (cbrt.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1))) (.f64 m (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 m (.f64 m m)) v)))))
	39.9b	(.f64 (sqrt.f64 (.f64 m (+.f64 -1 (/.f64 (-.f64 m (.f64 m m)) v)))) (sqrt.f64 (.f64 m (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)))))
▶	0.2b	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
	15.6b	(-.f64 (/.f64 (*.f64 m m) v) m)

Compiler

Compiled 1487 to 730 computations (50.9% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1 m) v)
0.0b	(-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)
0.1b	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
0.3b	(*.f64 m (/.f64 (-.f64 1 m) v))

rewrite218.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

57×	`add-sqr-sqrt_binary64`
50×	`*-un-lft-identity_binary64`
37×	`times-frac_binary64`
29×	`add-cube-cbrt_binary64`
25×	`associate-r_binary64`

Counts

4 → 117

Calls

4 calls:

11.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
11.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
11.0ms	(-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)
6.0ms	(/.f64 (-.f64 1 m) v)

Compiler

Compiled 2138 to 1380 computations (35.5% saved)

series136.0ms (3%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

39.0ms	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
34.0ms	(-.f64 (*.f64 m (/.f64 (-.f64 1 m) v)) 1)
25.0ms	(*.f64 m (/.f64 (-.f64 1 m) v))
17.0ms	(/.f64 (-.f64 1 m) v)

Compiler

Compiled 1168 to 783 computations (33% saved)

simplify113.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

424×	`associate-*l/_binary64`
382×	`div-sub_binary64`
366×	`distribute-rgt-in_binary64`
350×	`distribute-lft-in_binary64`
349×	`associate-*r/_binary64`

Counts

165 → 116

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	178	2346
1	404	2220
2	1252	2176
3	4356	2164
4	5583	2164

prune106.0ms (2.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	113	3	116
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	115	9	124

Error

Counts

124 → 9

Alt Table

Status	Error	Program
	8.5b	(.f64 (+.f64 (sqrt.f64 (/.f64 (.f64 m (-.f64 1 m)) v)) 1) (.f64 m (+.f64 -1 (sqrt.f64 (/.f64 (-.f64 m (.f64 m m)) v)))))
	19.0b	(/.f64 (.f64 m (+.f64 -1 (pow.f64 (/.f64 (-.f64 m (.f64 m m)) v) 3))) (+.f64 (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (/.f64 (.f64 m (-.f64 1 m)) v)) (+.f64 (.f64 1 1) (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1))))
	0.7b	(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)) (cbrt.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1))) (.f64 m (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 m (.f64 m m)) v)))))
	39.9b	(.f64 (sqrt.f64 (.f64 m (+.f64 -1 (/.f64 (-.f64 m (.f64 m m)) v)))) (sqrt.f64 (.f64 m (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)))))
✓	0.2b	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
	0.7b	(.f64 (-.f64 (.f64 (/.f64 (+.f64 m (pow.f64 m 3/2)) (*.f64 (cbrt.f64 v) (cbrt.f64 v))) (/.f64 (-.f64 1 (sqrt.f64 m)) (cbrt.f64 v))) 1) m)
▶	0.2b	(.f64 (-.f64 (.f64 1 (/.f64 (-.f64 m (*.f64 m m)) v)) 1) m)
	15.6b	(-.f64 (/.f64 (*.f64 m m) v) m)
	0.3b	(.f64 (-.f64 (.f64 (sqrt.f64 m) (*.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m))) 1) m)

Compiler

Compiled 1582 to 919 computations (41.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite166.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`
15×	`times-frac_binary64`
8×	`add-exp-log_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64`

Counts

4 → 88

Calls

4 calls:

10.0ms	(.f64 (-.f64 (.f64 1 (/.f64 (-.f64 m (*.f64 m m)) v)) 1) m)
7.0ms	(-.f64 (.f64 1 (/.f64 (-.f64 m (.f64 m m)) v)) 1)
5.0ms	(/.f64 (-.f64 m (*.f64 m m)) v)
3.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 1912 to 819 computations (57.2% saved)

series128.0ms (2.8%)

Error

Counts

4 → 45

Calls

4 calls:

44.0ms	(.f64 (-.f64 (.f64 1 (/.f64 (-.f64 m (*.f64 m m)) v)) 1) m)
34.0ms	(-.f64 (.f64 1 (/.f64 (-.f64 m (.f64 m m)) v)) 1)
24.0ms	(/.f64 (-.f64 m (*.f64 m m)) v)
10.0ms	(-.f64 m (*.f64 m m))

Compiler

Compiled 1082 to 748 computations (30.9% saved)

simplify126.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

396×	`distribute-rgt-in_binary64`
388×	`distribute-lft-in_binary64`
352×	`associate-l_binary64`
332×	`associate-r_binary64`
324×	`div-sub_binary64`

Counts

133 → 92

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	2022
1	338	1900
2	978	1855
3	3550	1855
4	4571	1855
5	4940	1855

prune73.0ms (1.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	92	9	101

Error

Counts

101 → 9

Alt Table

Status	Error	Program
	8.5b	(.f64 (+.f64 (sqrt.f64 (/.f64 (.f64 m (-.f64 1 m)) v)) 1) (.f64 m (+.f64 -1 (sqrt.f64 (/.f64 (-.f64 m (.f64 m m)) v)))))
	19.0b	(/.f64 (.f64 m (+.f64 -1 (pow.f64 (/.f64 (-.f64 m (.f64 m m)) v) 3))) (+.f64 (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) (/.f64 (.f64 m (-.f64 1 m)) v)) (+.f64 (.f64 1 1) (.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1))))
	0.7b	(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)) (cbrt.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1))) (.f64 m (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 m (.f64 m m)) v)))))
	39.9b	(.f64 (sqrt.f64 (.f64 m (+.f64 -1 (/.f64 (-.f64 m (.f64 m m)) v)))) (sqrt.f64 (.f64 m (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)))))
✓	0.2b	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
	0.7b	(.f64 (-.f64 (.f64 (/.f64 (+.f64 m (pow.f64 m 3/2)) (*.f64 (cbrt.f64 v) (cbrt.f64 v))) (/.f64 (-.f64 1 (sqrt.f64 m)) (cbrt.f64 v))) 1) m)
✓	0.2b	(.f64 (-.f64 (.f64 1 (/.f64 (-.f64 m (*.f64 m m)) v)) 1) m)
	15.6b	(-.f64 (/.f64 (*.f64 m m) v) m)
▶	0.3b	(.f64 (-.f64 (.f64 (sqrt.f64 m) (*.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m))) 1) m)

Compiler

Compiled 1345 to 647 computations (51.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (sqrt.f64 m) (.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m))) 1)
0.1b	(.f64 (-.f64 (.f64 (sqrt.f64 m) (*.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m))) 1) m)
0.3b	(*.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m))
0.3b	(.f64 (sqrt.f64 m) (.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m)))

rewrite204.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`add-sqr-sqrt_binary64`
31×	`associate-l_binary64`
30×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `times-frac_binary64`

Counts

4 → 104

Calls

4 calls:

18.0ms	(.f64 (-.f64 (.f64 (sqrt.f64 m) (*.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m))) 1) m)
13.0ms	(.f64 (sqrt.f64 m) (.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m)))
13.0ms	(*.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m))
12.0ms	(-.f64 (.f64 (sqrt.f64 m) (.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m))) 1)

Compiler

Compiled 2348 to 1301 computations (44.6% saved)

series126.0ms (2.8%)

Error

Counts

4 → 40

Calls

4 calls:

38.0ms	(.f64 (-.f64 (.f64 (sqrt.f64 m) (*.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m))) 1) m)
29.0ms	(-.f64 (.f64 (sqrt.f64 m) (.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m))) 1)
24.0ms	(.f64 (sqrt.f64 m) (.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m)))
21.0ms	(*.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m))

Compiler

Compiled 1164 to 788 computations (32.3% saved)

simplify99.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

768×	`times-frac_binary64`
359×	`associate-*l/_binary64`
307×	`associate-r/_binary64` `-commutative_binary64`
271×	`associate-/l*_binary64`
226×	`div-sub_binary64`

Counts

144 → 123

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	2586
1	448	2086
2	1208	2020
3	3517	2020
4	5049	2020

prune104.0ms (2.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	2	4	6
Picked	0	1	1
Done	0	2	2
Total	123	9	132

Error

Counts

132 → 9

Alt Table

Status	Error	Program
	0.4b	(.f64 (-.f64 (.f64 (sqrt.f64 m) (.f64 (/.f64 1 (sqrt.f64 v)) (.f64 (sqrt.f64 m) (/.f64 (-.f64 1 m) (sqrt.f64 v))))) 1) m)
	8.5b	(.f64 (+.f64 (sqrt.f64 (/.f64 (.f64 m (-.f64 1 m)) v)) 1) (.f64 m (+.f64 -1 (sqrt.f64 (/.f64 (-.f64 m (.f64 m m)) v)))))
	0.7b	(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1)) (cbrt.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1))) (.f64 m (cbrt.f64 (+.f64 -1 (/.f64 (-.f64 m (.f64 m m)) v)))))
	39.9b	(.f64 (sqrt.f64 (.f64 m (+.f64 -1 (/.f64 (-.f64 m (.f64 m m)) v)))) (sqrt.f64 (.f64 m (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)))))
	0.4b	(.f64 (-.f64 (.f64 (sqrt.f64 (sqrt.f64 m)) (.f64 (.f64 (sqrt.f64 m) (/.f64 (-.f64 1 m) v)) (sqrt.f64 (sqrt.f64 m)))) 1) m)
	0.2b	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
	0.2b	(.f64 (-.f64 (.f64 1 (/.f64 (-.f64 m (*.f64 m m)) v)) 1) m)
	15.6b	(-.f64 (/.f64 (*.f64 m m) v) m)
	0.3b	(.f64 (-.f64 (.f64 (sqrt.f64 m) (*.f64 (/.f64 (-.f64 1 m) v) (sqrt.f64 m))) 1) m)

Compiler

Compiled 1701 to 920 computations (45.9% saved)

regimes705.0ms (15.5%)

Accuracy

Total 0.1b remaining (81.2%)

Threshold costs 0.1b (81.2%)

Compiler

Compiled 9893 to 6551 computations (33.8% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

22×	`distribute-rgt-neg-in_binary64`
20×	`cancel-sign-sub-inv_binary64` `distribute-neg-in_binary64`
14×	`distribute-lft-neg-in_binary64`
13×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	21	18
2	28	16
3	38	16
4	54	16
5	64	16
6	70	16
7	85	16
8	103	16
9	121	16
10	131	16
11	133	16
12	129	16

end1.0ms (0%)

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

sample1.1s (24.3%)

Algorithm

1×

intervals

Results

470.0ms	8000×	body	128	valid
155.0ms	8056×	pre	128	true
2.0ms	56×	body	128	invalid

Compiler

Compiled 225 to 146 computations (35.1% saved)

Iter	Nodes	Cost
0	12	18
1	21	18
2	28	16
3	38	16
4	54	16
5	64	16
6	70	16
7	85	16
8	103	16
9	121	16
10	131	16
11	133	16
12	129	16

Iter	Nodes	Cost
0	12	18
1	21	18
2	28	16
3	38	16
4	54	16
5	64	16
6	70	16
7	85	16
8	103	16
9	121	16
10	131	16
11	133	16
12	129	16

Details

analyze380.0ms (8.4%)

sample28.0ms (0.6%)

simplify125.0ms (2.8%)

prune3.0ms (0.1%)

localize7.0ms (0.1%)

rewrite186.0ms (4.1%)

series129.0ms (2.8%)

simplify142.0ms (3.1%)

prune100.0ms (2.2%)

localize7.0ms (0.2%)

rewrite218.0ms (4.8%)

series136.0ms (3%)

simplify113.0ms (2.5%)

prune106.0ms (2.3%)

localize10.0ms (0.2%)

rewrite166.0ms (3.7%)

series128.0ms (2.8%)

simplify126.0ms (2.8%)

prune73.0ms (1.6%)

localize9.0ms (0.2%)

rewrite204.0ms (4.5%)

series126.0ms (2.8%)

simplify99.0ms (2.2%)

prune104.0ms (2.3%)

regimes705.0ms (15.5%)

simplify8.0ms (0.2%)

end1.0ms (0%)

sample1.1s (24.3%)

Profiling

Iter	Nodes	Cost
0	12	18
1	21	18
2	28	16
3	38	16
4	54	16
5	64	16
6	70	16
7	85	16
8	103	16
9	121	16
10	131	16
11	133	16
12	129	16