Details

analyze141.0ms (3.3%)

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)

sample28.0ms (0.6%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
5.0ms	258×	pre	128	true
0.0ms	2×	body	128	invalid

Compiler

Compiled 42 to 31 computations (26.2% saved)

simplify90.0ms (2.1%)

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

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

0.1b

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)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite278.0ms (6.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

33×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64`
15×	`cancel-sign-sub-inv_binary64`
15×	`add-cube-cbrt_binary64`
13×	`add-cbrt-cube_binary64`

Counts

4 → 113

Calls

4 calls:

56.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
7.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
6.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
6.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 2420 to 1672 computations (30.9% saved)

series95.0ms (2.2%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

26.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))
25.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
19.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
7.0ms	(*.f64 m (-.f64 1 m))

Compiler

Compiled 1262 to 891 computations (29.4% saved)

simplify131.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

803×	`distribute-rgt-in_binary64`
754×	`distribute-lft-in_binary64`
201×	`associate-/l/_binary64`
149×	`associate-/r/_binary64`
146×	`associate-l_binary64`

Counts

161 → 137

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	186	2819
1	464	2632
2	1574	2597
3	4840	2592
4	5089	2592

prune103.0ms (2.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	131	6	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	132	6	138

Error

Counts

138 → 6

Alt Table

Status	Error	Program
	3.1b	(/.f64 (.f64 (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1) (-.f64 1 (*.f64 m m))) (+.f64 1 m))
	0.6b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (pow.f64 1 3) (pow.f64 m 3))) (.f64 v (+.f64 1 (+.f64 m (.f64 m m))))) 1) (-.f64 1 m))
	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (.f64 1 1) (.f64 m m))) (*.f64 v (+.f64 m 1))) 1) (-.f64 1 m))
	14.4b	(/.f64 (.f64 (-.f64 1 m) (+.f64 -1 (.f64 (/.f64 m v) (/.f64 (.f64 (-.f64 1 m) (-.f64 m (.f64 m m))) v)))) (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))
▶	0.1b	(+.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 v) (-.f64 1 m)) 1) (-.f64 1 m))

Compiler

Compiled 1894 to 1174 computations (38% saved)

localize12.0ms (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 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
0.2b	(*.f64 (/.f64 m v) m)
9.3b	(/.f64 (pow.f64 m 3) v)

rewrite268.0ms (6.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

53×	`*-un-lft-identity_binary64`
46×	`times-frac_binary64`
46×	`add-sqr-sqrt_binary64`
39×	`add-cube-cbrt_binary64`
34×	`add-log-exp_binary64`

Counts

4 → 153

Calls

4 calls:

24.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
9.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
5.0ms	(/.f64 (pow.f64 m 3) v)
5.0ms	(*.f64 (/.f64 m v) m)

Compiler

Compiled 4833 to 2133 computations (55.9% saved)

series111.0ms (2.6%)

Error

Counts

4 → 45

Calls

4 calls:

33.0ms	(-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m))))
31.0ms	(+.f64 (-.f64 (+.f64 m (/.f64 m v)) (+.f64 1 (.f64 2 (.f64 (/.f64 m v) m)))) (/.f64 (pow.f64 m 3) v))
17.0ms	(/.f64 (pow.f64 m 3) v)
15.0ms	(*.f64 (/.f64 m v) m)

Compiler

Compiled 1548 to 1032 computations (33.3% saved)

simplify158.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

426×	`cancel-sign-sub-inv_binary64`
281×	`unswap-sqr_binary64`
238×	`associate-r_binary64`
212×	`associate-l_binary64`
186×	`log-prod_binary64`

Counts

198 → 157

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	293	4748
1	738	4402
2	3032	4362
3	4733	4362
4	4977	4362

prune120.0ms (2.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	157	6	163

Error

Counts

163 → 6

Alt Table

Status	Error	Program
	3.1b	(/.f64 (.f64 (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1) (-.f64 1 (*.f64 m m))) (+.f64 1 m))
	0.6b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (pow.f64 1 3) (pow.f64 m 3))) (.f64 v (+.f64 1 (+.f64 m (.f64 m m))))) 1) (-.f64 1 m))
	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (.f64 1 1) (.f64 m m))) (*.f64 v (+.f64 m 1))) 1) (-.f64 1 m))
	14.4b	(/.f64 (.f64 (-.f64 1 m) (+.f64 -1 (.f64 (/.f64 m v) (/.f64 (.f64 (-.f64 1 m) (-.f64 m (.f64 m m))) v)))) (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))
✓	0.1b	(+.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 v) (-.f64 1 m)) 1) (-.f64 1 m))

Compiler

Compiled 3272 to 1534 computations (53.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite240.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

33×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64`
21×	`cancel-sign-sub-inv_binary64`
20×	`add-cube-cbrt_binary64`
16×	`associate-l_binary64`

Counts

3 → 106

Calls

3 calls:

95.0ms	(-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1)
12.0ms	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
8.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))

Compiler

Compiled 2421 to 1457 computations (39.8% saved)

series77.0ms (1.8%)

Error

Counts

3 → 42

Calls

3 calls:

26.0ms	(.f64 (-.f64 (.f64 (/.f64 m v) (-.f64 1 m)) 1) (-.f64 1 m))
25.0ms	(-.f64 (*.f64 (/.f64 m v) (-.f64 1 m)) 1)
18.0ms	(*.f64 (/.f64 m v) (-.f64 1 m))

Compiler

Compiled 1118 to 783 computations (30% saved)

simplify82.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

841×	`distribute-rgt-in_binary64`
804×	`distribute-lft-in_binary64`
413×	`times-frac_binary64`
173×	`associate-l_binary64`
128×	`associate-r_binary64`

Counts

148 → 126

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	196	2730
1	498	2572
2	1578	2521
3	4999	2521

prune88.0ms (2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	126	6	132

Error

Counts

132 → 6

Alt Table

Status	Error	Program
▶	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (.f64 1 1) (.f64 m m))) (*.f64 v (+.f64 m 1))) 1) (-.f64 1 m))
	3.1b	(/.f64 (.f64 (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1) (-.f64 1 (*.f64 m m))) (+.f64 1 m))
	14.4b	(/.f64 (.f64 (-.f64 1 m) (+.f64 -1 (.f64 (/.f64 m v) (/.f64 (.f64 (-.f64 1 m) (-.f64 m (.f64 m m))) v)))) (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))
	0.6b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 (pow.f64 m 3))) (.f64 v (+.f64 1 (+.f64 m (.f64 m m))))) 1) (-.f64 1 m))
✓	0.1b	(+.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 v) (-.f64 1 m)) 1) (-.f64 1 m))

Compiler

Compiled 1749 to 1049 computations (40% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite192.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`add-sqr-sqrt_binary64`
22×	`add-cbrt-cube_binary64`
22×	`add-exp-log_binary64`
20×	`*-un-lft-identity_binary64`
14×	`associate-r_binary64`

Counts

4 → 114

Calls

4 calls:

18.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (.f64 1 1) (.f64 m m))) (*.f64 v (+.f64 m 1))) 1) (-.f64 1 m))
10.0ms	(/.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)))
5.0ms	(*.f64 v (+.f64 m 1))

Compiler

Compiled 3694 to 2469 computations (33.2% saved)

series109.0ms (2.5%)

Error

Counts

4 → 42

Calls

4 calls:

40.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (.f64 1 1) (.f64 m m))) (*.f64 v (+.f64 m 1))) 1) (-.f64 1 m))
29.0ms	(/.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 1588 to 1123 computations (29.3% saved)

simplify186.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

312×	`associate-/l/_binary64`
263×	`times-frac_binary64`
232×	`associate-/r/_binary64`
215×	`associate-l_binary64`
199×	`exp-prod_binary64`

Counts

156 → 126

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	232	3545
1	622	3071
2	2654	2950
3	4602	2949
4	4995	2949
5	5000	2949
6	4967	2949

prune104.0ms (2.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	126	6	132

Error

Counts

132 → 6

Alt Table

Status	Error	Program
	0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 (.f64 1 1) (.f64 m m))) (*.f64 v (+.f64 m 1))) 1) (-.f64 1 m))
	3.1b	(/.f64 (.f64 (+.f64 (.f64 (/.f64 m v) (-.f64 1 m)) -1) (-.f64 1 (*.f64 m m))) (+.f64 1 m))
	14.4b	(/.f64 (.f64 (-.f64 1 m) (+.f64 -1 (.f64 (/.f64 m v) (/.f64 (.f64 (-.f64 1 m) (-.f64 m (.f64 m m))) v)))) (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))
	0.6b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 (pow.f64 m 3))) (.f64 v (+.f64 1 (+.f64 m (.f64 m m))))) 1) (-.f64 1 m))
	0.1b	(+.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 v) (-.f64 1 m)) 1) (-.f64 1 m))

Compiler

Compiled 2220 to 1503 computations (32.3% saved)

regimes708.0ms (16.5%)

Accuracy

Total 0.1b remaining (83.9%)

Threshold costs 0.1b (83.9%)

Compiler

Compiled 14476 to 10264 computations (29.1% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
5×	`sub-neg_binary64`
3×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	26	28
2	33	28
3	37	28
4	39	28
5	37	28

end1.0ms (0%)

Compiler: Compiled 21 to 15 computations (28.6% saved)

sample935.0ms (21.8%)

Algorithm

1×

intervals

Results

363.0ms	8000×	body	128	valid
177.0ms	8064×	pre	128	true
3.0ms	64×	body	128	invalid

Compiler

Compiled 188 to 132 computations (29.8% saved)

Details

analyze141.0ms (3.3%)

sample28.0ms (0.6%)

simplify90.0ms (2.1%)

prune2.0ms (0%)

localize7.0ms (0.2%)

rewrite278.0ms (6.5%)

series95.0ms (2.2%)

simplify131.0ms (3.1%)

prune103.0ms (2.4%)

localize12.0ms (0.3%)

rewrite268.0ms (6.2%)

series111.0ms (2.6%)

simplify158.0ms (3.7%)

prune120.0ms (2.8%)

localize7.0ms (0.2%)

rewrite240.0ms (5.6%)

series77.0ms (1.8%)

simplify82.0ms (1.9%)

prune88.0ms (2%)

localize13.0ms (0.3%)

rewrite192.0ms (4.5%)

series109.0ms (2.5%)

simplify186.0ms (4.3%)

prune104.0ms (2.4%)

regimes708.0ms (16.5%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample935.0ms (21.8%)

Profiling