Details

analyze245.0ms (5.6%)

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	3×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify222.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5317	16

prune4.0ms (0.1%)

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: 0.6b

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))
1.9b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite46.0ms (1.1%)

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:

17.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
5.0ms	(/.f64 v (+.f64 t1 u))

series187.0ms (4.3%)

Counts

2 → 6

Calls

2 calls:

128.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
59.0ms	(/.f64 v (+.f64 t1 u))

simplify112.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4977	5524
1	4977	5524

prune193.0ms (4.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	181	7	188
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	181	9	190

Merged error: 0b

Counts

190 → 9

Compiler

Compiled 4369 to 1504 computations (65.6% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
0.5b	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
1.7b	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))

rewrite55.0ms (1.3%)

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` `un-div-inv_binary64_75` `pow-flip_binary64_148`

Counts

3 → 151

Calls

3 calls:

26.0ms	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))
9.0ms	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
5.0ms	(/.f64 v (+.f64 t1 u))

series242.0ms (5.6%)

Counts

3 → 9

Calls

3 calls:

134.0ms	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))
58.0ms	(/.f64 v (+.f64 t1 u))
50.0ms	(/.f64 1 (-.f64 -1 (/.f64 u t1)))

simplify77.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5322	2687

prune142.0ms (3.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	158	2	160
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	161	8	169

Merged error: 0b

Counts

169 → 8

Compiler

Compiled 3128 to 1376 computations (56% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.8b	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 t1 u))
2.6b	(/.f64 v (-.f64 -1 (/.f64 u t1)))

rewrite54.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

223×	`times-frac_binary64_83`
183×	`add-sqr-sqrt_binary64_98`
176×	`*-un-lft-identity_binary64_77`
88×	`add-cube-cbrt_binary64_109`
38×	`difference-of-squares_binary64_46`
27×	`associate-/l*_binary64_24`
25×	`distribute-lft-out_binary64_30`
19×	`distribute-lft-out--_binary64_31`
14×	`associate-/r/_binary64_25`
10×	`associate-/r*_binary64_23`
9×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110`
7×	`div-inv_binary64_74`
6×	`flip--_binary64_52` `flip3--_binary64_81`
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_51` `flip3-+_binary64_80` `associate-/l/_binary64_26`

Counts

2 → 182

Calls

2 calls:

18.0ms	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 t1 u))
9.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))

series180.0ms (4.2%)

Counts

2 → 6

Calls

2 calls:

123.0ms	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 t1 u))
57.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))

simplify97.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5596	5422

prune182.0ms (4.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	187	1	188
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	188	8	196

Merged error: 0b

Counts

196 → 8

Compiler

Compiled 4313 to 1741 computations (59.6% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.5b	(/.f64 1 (/.f64 (+.f64 u t1) (/.f64 v (-.f64 -1 (/.f64 u t1)))))
0.8b	(/.f64 (+.f64 u t1) (/.f64 v (-.f64 -1 (/.f64 u t1))))
2.6b	(/.f64 v (-.f64 -1 (/.f64 u t1)))

rewrite177.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Rules

1246×	`times-frac_binary64_83`
827×	`*-un-lft-identity_binary64_77`
786×	`add-sqr-sqrt_binary64_98`
451×	`add-cube-cbrt_binary64_109`
134×	`difference-of-squares_binary64_46`
131×	`associate-/r*_binary64_23`
121×	`distribute-lft-out_binary64_30`
67×	`distribute-lft-out--_binary64_31`
50×	`associate-/r/_binary64_25`
31×	`add-exp-log_binary64_112`
28×	`div-inv_binary64_74`
22×	`flip--_binary64_52` `flip3--_binary64_81`
19×	`add-cbrt-cube_binary64_110` `div-exp_binary64_125`
10×	`cbrt-undiv_binary64_108` `associate-/l*_binary64_24`
4×	`pow1_binary64_135`
3×	`add-log-exp_binary64_113` `1-exp_binary64_118` `rec-exp_binary64_124` `clear-num_binary64_76` `frac-2neg_binary64_88`
2×	`associate-/l/_binary64_26`
1×	`flip-+_binary64_51` `flip3-+_binary64_80` `inv-pow_binary64_159` `pow-flip_binary64_148`

Counts

3 → 614

Calls

3 calls:

34.0ms	(/.f64 1 (/.f64 (+.f64 u t1) (/.f64 v (-.f64 -1 (/.f64 u t1)))))
17.0ms	(/.f64 (+.f64 u t1) (/.f64 v (-.f64 -1 (/.f64 u t1))))
9.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))

series358.0ms (8.3%)

Counts

3 → 9

Calls

3 calls:

233.0ms	(/.f64 1 (/.f64 (+.f64 u t1) (/.f64 v (-.f64 -1 (/.f64 u t1)))))
71.0ms	(/.f64 (+.f64 u t1) (/.f64 v (-.f64 -1 (/.f64 u t1))))
54.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))

simplify222.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

623 → 623

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4976	21399
1	4976	21399

prune844.0ms (19.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	623	0	623
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	623	8	631

Merged error: 0b

Counts

631 → 8

Compiler

Compiled 16696 to 7149 computations (57.2% saved)

regimes64.0ms (1.5%)

Compiler: Compiled 418 to 350 computations (16.3% 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%)

sample576.0ms (13.3%)

Algorithm

1×

intervals

Results

264.0ms	8000×	body	128	valid
9.0ms	272×	body	128	invalid

Compiler

Compiled 121 to 100 computations (17.4% saved)

Details

analyze245.0ms (5.6%)

sample16.0ms (0.4%)

simplify222.0ms (5.1%)

prune4.0ms (0.1%)

localize7.0ms (0.2%)

rewrite46.0ms (1.1%)

series187.0ms (4.3%)

simplify112.0ms (2.6%)

prune193.0ms (4.5%)

localize9.0ms (0.2%)

rewrite55.0ms (1.3%)

series242.0ms (5.6%)

simplify77.0ms (1.8%)

prune142.0ms (3.3%)

localize7.0ms (0.2%)

rewrite54.0ms (1.2%)

series180.0ms (4.2%)

simplify97.0ms (2.2%)

prune182.0ms (4.2%)

localize8.0ms (0.2%)

rewrite177.0ms (4.1%)

series358.0ms (8.3%)

simplify222.0ms (5.1%)

prune844.0ms (19.5%)

regimes64.0ms (1.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample576.0ms (13.3%)

Profiling