Details

analyze350.0ms (8.2%)

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)

sample25.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
5.0ms	259×	pre	128	true
0.0ms	3×	body	128	invalid

Compiler

Compiled 38 to 27 computations (28.9% saved)

simplify122.0ms (2.9%)

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

prune2.0ms (0%)

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 (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 m (-.f64 1 m))
0.0b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)

rewrite109.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64`
12×	`add-cbrt-cube_binary64`
12×	`add-exp-log_binary64`
11×	`add-cube-cbrt_binary64`

Counts

3 → 78

Calls

3 calls:

11.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
9.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
5.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1368 to 882 computations (35.5% saved)

series64.0ms (1.5%)

Error

0.1b

Counts

3 → 30

Calls

3 calls:

29.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) m)
17.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
7.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 708 to 484 computations (31.6% saved)

simplify119.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

415×	`div-sub_binary64`
330×	`associate-*l/_binary64`
327×	`distribute-rgt-in_binary64`
304×	`distribute-lft-in_binary64`
214×	`*-commutative_binary64`

Counts

108 → 91

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	147	1434
1	347	1301
2	1137	1294
3	3563	1289
4	4923	1289
5	4999	1289
6	4960	1289

prune59.0ms (1.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	81	10	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	10	92

Error

0.0b

Counts

92 → 10

Alt Table

Status	Error	Program
▶	0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (.f64 1 1) (.f64 m m))) (*.f64 v (+.f64 m 1))) 1) m)
	36.0b	(.f64 (.f64 (sqrt.f64 (+.f64 -1 (/.f64 (-.f64 m (.f64 m m)) v))) (sqrt.f64 m)) (.f64 (sqrt.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v))) (sqrt.f64 m)))
	0.3b	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) m)
	35.9b	(.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 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m)) v) 1) m)
	9.8b	(.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)))))
	0.3b	(.f64 (-.f64 (.f64 m (/.f64 (-.f64 1 m) v)) 1) m)
	0.6b	(.f64 (.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)) (sqrt.f64 m)) (sqrt.f64 m))
	16.4b	(-.f64 (/.f64 (*.f64 m m) v) m)
	0.8b	(.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)))))

Compiler

Compiled 1301 to 675 computations (48.1% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 v (+.f64 m 1))
0.1b	(.f64 m (-.f64 (.f64 1 1) (*.f64 m m)))
0.1b	(/.f64 (.f64 m (-.f64 (.f64 1 1) (.f64 m m))) (.f64 v (+.f64 m 1)))
0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (.f64 1 1) (.f64 m m))) (*.f64 v (+.f64 m 1))) 1) m)

rewrite150.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

22×	`add-cbrt-cube_binary64`
22×	`add-exp-log_binary64`
20×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
13×	`associate-l_binary64`

Counts

4 → 97

Calls

4 calls:

13.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (.f64 1 1) (.f64 m m))) (*.f64 v (+.f64 m 1))) 1) m)
11.0ms	(/.f64 (.f64 m (-.f64 (.f64 1 1) (.f64 m m))) (.f64 v (+.f64 m 1)))
7.0ms	(.f64 m (-.f64 (.f64 1 1) (*.f64 m m)))
6.0ms	(*.f64 v (+.f64 m 1))

Compiler

Compiled 2708 to 1743 computations (35.6% saved)

series115.0ms (2.7%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

49.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (.f64 1 1) (.f64 m m))) (*.f64 v (+.f64 m 1))) 1) m)
27.0ms	(/.f64 (.f64 m (-.f64 (.f64 1 1) (.f64 m m))) (.f64 v (+.f64 m 1)))
13.0ms	(*.f64 v (+.f64 m 1))
10.0ms	(.f64 m (-.f64 (.f64 1 1) (*.f64 m m)))

Compiler

Compiled 1257 to 864 computations (31.3% saved)

simplify99.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

635×	`distribute-rgt-in_binary64`
586×	`distribute-lft-in_binary64`
316×	`associate-/l/_binary64`
268×	`times-frac_binary64`
185×	`associate-l_binary64`

Counts

136 → 109

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	2347
1	471	1999
2	2094	1912
3	4937	1912
4	4960	1912

prune80.0ms (1.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	110	9	119

Error

0.0b

Counts

119 → 9

Alt Table

Status	Error	Program
	0.3b	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) m)
	35.9b	(.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 (.f64 m (-.f64 (.f64 1 1) (.f64 m m))) (+.f64 (*.f64 m v) v)) 1) m)
	0.2b	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) m)
▶	0.2b	(-.f64 (.f64 m (/.f64 (-.f64 m (pow.f64 m 3)) (.f64 v (+.f64 m 1)))) m)
	0.6b	(.f64 (.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)) (sqrt.f64 m)) (sqrt.f64 m))
	5.2b	(-.f64 (.f64 (/.f64 (.f64 m m) v) (-.f64 1 m)) m)
	9.8b	(.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)))))
	0.8b	(.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)))))

Compiler

Compiled 1919 to 1234 computations (35.7% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 m (/.f64 (-.f64 m (pow.f64 m 3)) (.f64 v (+.f64 m 1)))) m)
0.0b	(*.f64 v (+.f64 m 1))
0.1b	(/.f64 (-.f64 m (pow.f64 m 3)) (*.f64 v (+.f64 m 1)))
0.2b	(.f64 m (/.f64 (-.f64 m (pow.f64 m 3)) (.f64 v (+.f64 m 1))))

rewrite179.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

37×	`add-sqr-sqrt_binary64`
23×	`*-un-lft-identity_binary64`
20×	`add-cbrt-cube_binary64`
20×	`add-exp-log_binary64`
19×	`associate-r_binary64`

Counts

4 → 110

Calls

4 calls:

12.0ms	(.f64 m (/.f64 (-.f64 m (pow.f64 m 3)) (.f64 v (+.f64 m 1))))
11.0ms	(/.f64 (-.f64 m (pow.f64 m 3)) (*.f64 v (+.f64 m 1)))
10.0ms	(-.f64 (.f64 m (/.f64 (-.f64 m (pow.f64 m 3)) (.f64 v (+.f64 m 1)))) m)
4.0ms	(*.f64 v (+.f64 m 1))

Compiler

Compiled 2455 to 1537 computations (37.4% saved)

series127.0ms (3%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

44.0ms	(-.f64 (.f64 m (/.f64 (-.f64 m (pow.f64 m 3)) (.f64 v (+.f64 m 1)))) m)
29.0ms	(.f64 m (/.f64 (-.f64 m (pow.f64 m 3)) (.f64 v (+.f64 m 1))))
24.0ms	(/.f64 (-.f64 m (pow.f64 m 3)) (*.f64 v (+.f64 m 1)))
13.0ms	(*.f64 v (+.f64 m 1))

Compiler

Compiled 1230 to 799 computations (35% saved)

simplify109.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

521×	`distribute-rgt-in_binary64`
491×	`distribute-lft-in_binary64`
236×	`div-sub_binary64`
178×	`associate-l_binary64`
168×	`associate-/l/_binary64`

Counts

152 → 110

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	200	2736
1	512	2537
2	1991	2487
3	4596	2463
4	5206	2463

prune73.0ms (1.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	111	8	119

Error

Counts

119 → 8

Alt Table

Status	Error	Program
	0.3b	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) m)
	35.9b	(.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)))))
	9.8b	(.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)))))
	2.1b	(-.f64 (.f64 (/.f64 (.f64 (+.f64 m 1) (pow.f64 m 3/2)) v) (/.f64 (-.f64 (sqrt.f64 m) (pow.f64 (sqrt.f64 m) 3)) (+.f64 m 1))) m)
▶	0.2b	(-.f64 (.f64 m (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 (.f64 m v) v))) m)
	5.2b	(-.f64 (.f64 (/.f64 (.f64 m m) v) (-.f64 1 m)) m)
	0.2b	(-.f64 (*.f64 (/.f64 m v) (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 m 1))) m)
	0.8b	(.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)))))

Compiler

Compiled 1533 to 942 computations (38.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 m (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 (.f64 m v) v))) m)
0.0b	(+.f64 (*.f64 m v) v)
0.1b	(/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 (*.f64 m v) v))
0.2b	(.f64 m (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 (.f64 m v) v)))

rewrite208.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

119×	`add-sqr-sqrt_binary64`
91×	`times-frac_binary64`
90×	`*-un-lft-identity_binary64`
51×	`associate-r_binary64`
44×	`difference-of-squares_binary64`

Counts

4 → 173

Calls

4 calls:

16.0ms	(.f64 m (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 (.f64 m v) v)))
11.0ms	(/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 (*.f64 m v) v))
11.0ms	(-.f64 (.f64 m (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 (.f64 m v) v))) m)
3.0ms	(+.f64 (*.f64 m v) v)

Compiler

Compiled 3982 to 1791 computations (55% saved)

series118.0ms (2.8%)

Error

Counts

4 → 42

Calls

4 calls:

45.0ms	(-.f64 (.f64 m (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 (.f64 m v) v))) m)
28.0ms	(.f64 m (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 (.f64 m v) v)))
24.0ms	(/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 (*.f64 m v) v))
13.0ms	(+.f64 (*.f64 m v) v)

Compiler

Compiled 1215 to 785 computations (35.4% saved)

simplify152.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

593×	`associate-/l/_binary64`
343×	`distribute-rgt-in_binary64`
316×	`distribute-lft-in_binary64`
194×	`associate-l_binary64`
176×	`associate-/l*_binary64`

Counts

215 → 180

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	4752
1	646	4559
2	2300	4463
3	4996	4463
4	4980	4463

prune119.0ms (2.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	179	1	180
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	181	7	188

Error

Counts

188 → 7

Alt Table

Status	Error	Program
	0.3b	(.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (.f64 m m)))) 1) m)
	35.9b	(.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)))))
	2.2b	(-.f64 (.f64 (.f64 m (.f64 (+.f64 m 1) (sqrt.f64 m))) (/.f64 (-.f64 (sqrt.f64 m) (pow.f64 (sqrt.f64 m) 3)) (+.f64 (.f64 m v) v))) m)
	5.2b	(-.f64 (.f64 (/.f64 (.f64 m m) v) (-.f64 1 m)) m)
	0.2b	(-.f64 (.f64 m (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 (.f64 m v) v))) m)
	0.2b	(-.f64 (*.f64 (/.f64 m v) (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 m 1))) m)
	0.8b	(.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)))))

Compiler

Compiled 3044 to 1755 computations (42.3% saved)

regimes880.0ms (20.6%)

Accuracy

Total 0.2b remaining (86.9%)

Threshold costs 0.2b (86.9%)

Compiler

Compiled 11966 to 7821 computations (34.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
3×	`*-commutative_binary64`
3×	`sub-neg_binary64`
1×	`unsub-neg_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	22	22
2	26	22
3	27	22
4	27	22

end1.0ms (0%)

Compiler: Compiled 17 to 11 computations (35.3% saved)

sample959.0ms (22.5%)

Algorithm

1×

intervals

Results

374.0ms	8000×	body	128	valid
171.0ms	8056×	pre	128	true
2.0ms	56×	body	128	invalid

Compiler

Compiled 193 to 122 computations (36.8% saved)

Details

analyze350.0ms (8.2%)

sample25.0ms (0.6%)

simplify122.0ms (2.9%)

prune2.0ms (0%)

localize7.0ms (0.2%)

rewrite109.0ms (2.6%)

series64.0ms (1.5%)

simplify119.0ms (2.8%)

prune59.0ms (1.4%)

localize12.0ms (0.3%)

rewrite150.0ms (3.5%)

series115.0ms (2.7%)

simplify99.0ms (2.3%)

prune80.0ms (1.9%)

localize9.0ms (0.2%)

rewrite179.0ms (4.2%)

series127.0ms (3%)

simplify109.0ms (2.5%)

prune73.0ms (1.7%)

localize10.0ms (0.2%)

rewrite208.0ms (4.9%)

series118.0ms (2.8%)

simplify152.0ms (3.6%)

prune119.0ms (2.8%)

regimes880.0ms (20.6%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample959.0ms (22.5%)

Profiling