Details

analyze254.0ms (6.2%)

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
12.5%	87.4%	0.1%	6
28.1%	71.8%	0.1%	7
42.1%	57.7%	0.1%	8
43.7%	56.2%	0.1%	9
64.4%	35.5%	0.1%	10
71.6%	28.3%	0.1%	11
72.2%	27.7%	0.1%	12
81.6%	18.2%	0.2%	13
84.9%	14.9%	0.2%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample16.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify207.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5317	16

prune8.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.5b

Counts

2 → 2

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
1.2b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite49.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

223×	`times-frac_binary64_83`
181×	`add-sqr-sqrt_binary64_98`
174×	`*-un-lft-identity_binary64_77`
86×	`add-cube-cbrt_binary64_109`
38×	`difference-of-squares_binary64_46`
25×	`distribute-lft-out_binary64_30`
21×	`associate-/l*_binary64_24`
19×	`distribute-lft-out--_binary64_31`
18×	`associate-/r/_binary64_25`
10×	`associate-/r*_binary64_23`
9×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110` `div-inv_binary64_74`
8×	`flip-+_binary64_51` `flip3-+_binary64_80`
4×	`cbrt-undiv_binary64_108` `div-exp_binary64_125`
2×	`add-log-exp_binary64_113` `pow1_binary64_135` `clear-num_binary64_76` `frac-2neg_binary64_88`
1×	`flip--_binary64_52` `flip3--_binary64_81` `associate-/l/_binary64_26`

Counts

2 → 182

Calls

2 calls:

18.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
5.0ms	(/.f64 v (+.f64 t1 u))

series179.0ms (4.4%)

Counts

2 → 6

Calls

2 calls:

127.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
52.0ms	(/.f64 v (+.f64 t1 u))

simplify112.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4977	5524
1	4977	5524

prune188.0ms (4.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	184	4	188
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	184	6	190

Merged error: 0.2b

Counts

190 → 6

Compiler

Compiled 4331 to 1472 computations (66% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 t1 u))
0.1b	(/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
3.5b	(*.f64 v (/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))

rewrite123.0ms (3%)

Algorithm

1×	rewrite-expression-head

Rules

426×	`times-frac_binary64_83`
352×	`add-sqr-sqrt_binary64_98`
316×	`*-un-lft-identity_binary64_77`
155×	`add-cube-cbrt_binary64_109`
114×	`associate-r_binary64_19`
74×	`difference-of-squares_binary64_46`
43×	`distribute-lft-out_binary64_30`
37×	`distribute-lft-out--_binary64_31`
32×	`associate-/r/_binary64_25`
31×	`add-exp-log_binary64_112`
21×	`associate-/l*_binary64_24`
19×	`add-cbrt-cube_binary64_110`
16×	`div-inv_binary64_74`
14×	`flip-+_binary64_51` `flip3-+_binary64_80` `div-exp_binary64_125`
10×	`associate-/r*_binary64_23`
7×	`cbrt-undiv_binary64_108`
6×	`pow1_binary64_135`
5×	`prod-exp_binary64_123`
4×	`unswap-sqr_binary64_45`
3×	`associate-l_binary64_20` `add-log-exp_binary64_113` `cbrt-unprod_binary64_107` `1-exp_binary64_118` `rec-exp_binary64_124`
2×	`flip--_binary64_52` `clear-num_binary64_76` `flip3--_binary64_81` `frac-2neg_binary64_88`
1×	`pow-prod-down_binary64_145` `inv-pow_binary64_159` `associate-r/_binary64_21` `-commutative_binary64_10` `associate-/l/_binary64_26` `pow-flip_binary64_148`

Counts

3 → 327

Calls

3 calls:

44.0ms	(*.f64 v (/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))
18.0ms	(/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
6.0ms	(/.f64 1 (+.f64 t1 u))

series249.0ms (6.1%)

Counts

3 → 9

Calls

3 calls:

129.0ms	(*.f64 v (/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))
82.0ms	(/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
38.0ms	(/.f64 1 (+.f64 t1 u))

simplify112.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5069	8292

prune403.0ms (9.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	336	0	336
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	336	6	342

Merged error: 0.2b

Counts

342 → 6

Compiler

Compiled 8245 to 4004 computations (51.4% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))
3.8b	(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1))))

rewrite38.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_98`
10×	`*-un-lft-identity_binary64_77`
9×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110`
8×	`frac-times_binary64_87` `associate-/r/_binary64_25`
6×	`flip-+_binary64_51` `flip3-+_binary64_80` `flip--_binary64_52` `add-cube-cbrt_binary64_109` `flip3--_binary64_81` `associate-r_binary64_19`
4×	`associate-l_binary64_20` `times-frac_binary64_83` `pow1_binary64_135` `associate-l/_binary64_22` `associate-r/_binary64_21`
3×	`associate-/l*_binary64_24`
2×	`add-log-exp_binary64_113` `cbrt-unprod_binary64_107` `cbrt-undiv_binary64_108` `sub-neg_binary64_70` `div-exp_binary64_125` `difference-of-squares_binary64_46` `prod-exp_binary64_123`
1×	`associate-/r_binary64_23` `pow-prod-down_binary64_145` `distribute-lft-out--_binary64_31` `distribute-lft-in_binary64_28` `unswap-sqr_binary64_45` `-commutative_binary64_10` `clear-num_binary64_76` `distribute-rgt-in_binary64_29` `frac-2neg_binary64_88` `distribute-lft-out_binary64_30` `div-inv_binary64_74`

Counts

2 → 61

Calls

2 calls:

18.0ms	(*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))
14.0ms	(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1))))

series147.0ms (3.6%)

Counts

2 → 6

Calls

2 calls:

112.0ms	(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1))))
34.0ms	(*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))

simplify55.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5030	1264

prune57.0ms (1.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	1	2	3
Picked	0	1	1
Done	1	1	2
Total	68	5	73

Merged error: 0.2b

Counts

73 → 5

Compiler

Compiled 1303 to 560 computations (57% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 t1 u))
0.6b	(*.f64 (/.f64 1 (+.f64 t1 u)) (/.f64 v (-.f64 -1 (/.f64 u t1))))
2.2b	(/.f64 v (-.f64 -1 (/.f64 u t1)))

rewrite58.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

93×	`add-sqr-sqrt_binary64_98`
74×	`times-frac_binary64_83`
71×	`*-un-lft-identity_binary64_77`
41×	`add-cube-cbrt_binary64_109`
31×	`add-exp-log_binary64_112`
24×	`associate-r_binary64_19`
19×	`add-cbrt-cube_binary64_110`
18×	`associate-l_binary64_20`
14×	`difference-of-squares_binary64_46`
11×	`div-exp_binary64_125`
10×	`associate-/r*_binary64_23`
8×	`associate-/r/_binary64_25` `prod-exp_binary64_123`
7×	`distribute-lft-out--_binary64_31` `distribute-lft-out_binary64_30`
6×	`cbrt-undiv_binary64_108` `pow1_binary64_135` `associate-/l*_binary64_24` `unswap-sqr_binary64_45`
4×	`cbrt-unprod_binary64_107` `div-inv_binary64_74`
3×	`add-log-exp_binary64_113` `1-exp_binary64_118` `rec-exp_binary64_124`
2×	`flip-+_binary64_51` `flip3-+_binary64_80` `flip--_binary64_52` `clear-num_binary64_76` `flip3--_binary64_81` `frac-2neg_binary64_88`
1×	`pow-prod-down_binary64_145` `frac-times_binary64_87` `associate-l/_binary64_22` `inv-pow_binary64_159` `associate-r/_binary64_21` `*-commutative_binary64_10` `pow-flip_binary64_148`

Counts

3 → 150

Calls

3 calls:

27.0ms	(*.f64 (/.f64 1 (+.f64 t1 u)) (/.f64 v (-.f64 -1 (/.f64 u t1))))
10.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))
6.0ms	(/.f64 1 (+.f64 t1 u))

series322.0ms (7.9%)

Counts

3 → 9

Calls

3 calls:

225.0ms	(*.f64 (/.f64 1 (+.f64 t1 u)) (/.f64 v (-.f64 -1 (/.f64 u t1))))
55.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))
41.0ms	(/.f64 1 (+.f64 t1 u))

simplify63.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4999	2693
1	4999	2693

prune135.0ms (3.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	159	5	164

Merged error: 0.2b

Counts

164 → 5

Compiler

Compiled 3044 to 1438 computations (52.8% saved)

regimes245.0ms (6%)

Compiler: Compiled 2935 to 1938 computations (34% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16

end0.0ms (0%)

sample1.0s (24.7%)

Algorithm

1×

intervals

Results

268.0ms	8000×	body	128	valid
8.0ms	257×	body	128	invalid

Compiler

Compiled 741 to 490 computations (33.9% saved)

Details

analyze254.0ms (6.2%)

sample16.0ms (0.4%)

simplify207.0ms (5.1%)

prune8.0ms (0.2%)

localize7.0ms (0.2%)

rewrite49.0ms (1.2%)

series179.0ms (4.4%)

simplify112.0ms (2.7%)

prune188.0ms (4.6%)

localize11.0ms (0.3%)

rewrite123.0ms (3%)

series249.0ms (6.1%)

simplify112.0ms (2.7%)

prune403.0ms (9.9%)

localize7.0ms (0.2%)

rewrite38.0ms (0.9%)

series147.0ms (3.6%)

simplify55.0ms (1.4%)

prune57.0ms (1.4%)

localize11.0ms (0.3%)

rewrite58.0ms (1.4%)

series322.0ms (7.9%)

simplify63.0ms (1.5%)

prune135.0ms (3.3%)

regimes245.0ms (6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.0s (24.7%)

Profiling