Details

analyze456.0ms (5.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4929	64
1	4929	64
0	3	3
1	3	3

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)

sample27.0ms (0.3%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify166.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (159.0ms)

Iter	Nodes	Cost
0	4942	16
1	4942	16

prune11.0ms (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

Error

0.3b

Counts

2 → 2

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
0.8b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite232.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

223×	`times-frac_binary64_84`
181×	`add-sqr-sqrt_binary64_100`
174×	`*-un-lft-identity_binary64_78`
86×	`add-cube-cbrt_binary64_113`
38×	`difference-of-squares_binary64_47`
25×	`distribute-lft-out_binary64_29`
21×	`associate-/l*_binary64_23`
19×	`distribute-lft-out--_binary64_30`
18×	`associate-/r/_binary64_24`
10×	`associate-/r*_binary64_22`
9×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `div-inv_binary64_75`
8×	`flip3-+_binary64_81` `flip-+_binary64_52`
4×	`div-exp_binary64_129` `cbrt-undiv_binary64_112`
2×	`pow1_binary64_139` `add-log-exp_binary64_117` `frac-2neg_binary64_89` `clear-num_binary64_77`
1×	`associate-/l/_binary64_25` `flip3--_binary64_82` `flip--_binary64_53`

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))

Compiler

Compiled 4505 to 1593 computations (64.6% saved)

series377.0ms (4.6%)

Error

0.0b

Counts

2 → 42

Calls

2 calls:

237.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
102.0ms	(/.f64 v (+.f64 t1 u))

Compiler

Compiled 1857 to 1298 computations (30.1% saved)

simplify103.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5279	6368

prune215.0ms (2.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	217	7	224
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	218	8	226

Error

0.0b

Counts

226 → 8

Compiler

Compiled 5089 to 1768 computations (65.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
0.3b	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
0.8b	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))

rewrite198.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

93×	`add-sqr-sqrt_binary64_100`
74×	`times-frac_binary64_84`
71×	`*-un-lft-identity_binary64_78`
41×	`add-cube-cbrt_binary64_113`
31×	`add-exp-log_binary64_116`
24×	`associate-r_binary64_18`
19×	`add-cbrt-cube_binary64_114`
18×	`associate-l_binary64_19`
14×	`difference-of-squares_binary64_47`
11×	`div-exp_binary64_129`
10×	`associate-/r*_binary64_22`
8×	`prod-exp_binary64_127` `associate-/r/_binary64_24`
7×	`distribute-lft-out_binary64_29` `distribute-lft-out--_binary64_30`
6×	`pow1_binary64_139` `cbrt-undiv_binary64_112` `unswap-sqr_binary64_46` `associate-/l*_binary64_23`
4×	`cbrt-unprod_binary64_111` `div-inv_binary64_75`
3×	`1-exp_binary64_122` `rec-exp_binary64_128` `add-log-exp_binary64_117`
2×	`flip3-+_binary64_81` `flip-+_binary64_52` `flip3--_binary64_82` `flip--_binary64_53` `frac-2neg_binary64_89` `clear-num_binary64_77`
1×	`pow-prod-down_binary64_149` `frac-times_binary64_88` `un-div-inv_binary64_76` `associate-l/_binary64_21` `associate-r/_binary64_20` `*-commutative_binary64_9` `inv-pow_binary64_163` `pow-flip_binary64_152`

Counts

3 → 151

Calls

3 calls:

29.0ms	(*.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))

Compiler

Compiled 3411 to 1568 computations (54% saved)

series431.0ms (5.2%)

Error

0.0b

Counts

3 → 60

Calls

3 calls:

224.0ms	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))
95.0ms	(/.f64 v (+.f64 t1 u))
61.0ms	(/.f64 1 (-.f64 -1 (/.f64 u t1)))

Compiler

Compiled 2634 to 1827 computations (30.6% saved)

simplify78.0ms (1%)

Algorithm

1×	egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5008	3759

prune177.0ms (2.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	210	1	211
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	211	8	219

Error

0.0b

Counts

219 → 8

Compiler

Compiled 4140 to 1772 computations (57.2% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.5b	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 t1 u))
2.0b	(/.f64 v (-.f64 -1 (/.f64 u t1)))

rewrite309.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

223×	`times-frac_binary64_84`
183×	`add-sqr-sqrt_binary64_100`
176×	`*-un-lft-identity_binary64_78`
88×	`add-cube-cbrt_binary64_113`
38×	`difference-of-squares_binary64_47`
27×	`associate-/l*_binary64_23`
25×	`distribute-lft-out_binary64_29`
19×	`distribute-lft-out--_binary64_30`
14×	`associate-/r/_binary64_24`
10×	`associate-/r*_binary64_22`
9×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
7×	`div-inv_binary64_75`
6×	`flip3--_binary64_82` `flip--_binary64_53`
4×	`div-exp_binary64_129` `cbrt-undiv_binary64_112`
2×	`pow1_binary64_139` `add-log-exp_binary64_117` `frac-2neg_binary64_89` `clear-num_binary64_77`
1×	`associate-/l/_binary64_25` `flip3-+_binary64_81` `flip-+_binary64_52`

Counts

2 → 182

Calls

2 calls:

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

Compiler

Compiled 4549 to 1915 computations (57.9% saved)

series399.0ms (4.8%)

Error

0.0b

Counts

2 → 42

Calls

2 calls:

228.0ms	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 t1 u))
137.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))

Compiler

Compiled 1857 to 1288 computations (30.6% saved)

simplify100.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5088	6295

prune219.0ms (2.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	223	1	224
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	225	7	232

Error

0.0b

Counts

232 → 7

Compiler

Compiled 5021 to 1956 computations (61% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) v))
0.5b	(/.f64 (/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) v)) (+.f64 t1 u))
1.9b	(/.f64 (-.f64 -1 (/.f64 u t1)) v)

rewrite1.0s (12.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

1101×	`times-frac_binary64_84`
719×	`add-sqr-sqrt_binary64_100`
680×	`*-un-lft-identity_binary64_78`
414×	`add-cube-cbrt_binary64_113`
122×	`difference-of-squares_binary64_47`
80×	`associate-/l*_binary64_23`
72×	`distribute-lft-out_binary64_29`
61×	`distribute-lft-out--_binary64_30`
35×	`add-exp-log_binary64_116`
29×	`associate-/r*_binary64_22`
27×	`div-inv_binary64_75`
22×	`div-exp_binary64_129`
19×	`add-cbrt-cube_binary64_114`
10×	`cbrt-undiv_binary64_112`
8×	`associate-/r/_binary64_24`
4×	`pow1_binary64_139` `1-exp_binary64_122` `rec-exp_binary64_128`
3×	`add-log-exp_binary64_117` `frac-2neg_binary64_89` `clear-num_binary64_77` `associate-/l/_binary64_25`
1×	`div-sub_binary64_83` `flip3--_binary64_82` `flip--_binary64_53` `flip3-+_binary64_81` `flip-+_binary64_52` `inv-pow_binary64_163` `pow-flip_binary64_152`

Counts

3 → 536

Calls

3 calls:

37.0ms	(/.f64 (/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) v)) (+.f64 t1 u))
14.0ms	(/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) v))
14.0ms	(/.f64 (-.f64 -1 (/.f64 u t1)) v)

Compiler

Compiled 16062 to 8398 computations (47.7% saved)

series557.0ms (6.8%)

Error

0.0b

Counts

3 → 57

Calls

3 calls:

216.0ms	(/.f64 (/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) v)) (+.f64 t1 u))
162.0ms	(/.f64 (-.f64 -1 (/.f64 u t1)) v)
136.0ms	(/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) v))

Compiler

Compiled 2412 to 1679 computations (30.4% saved)

simplify217.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

593 → 593

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4974	18867
1	4974	18867

prune720.0ms (8.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	593	0	593
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	593	7	600

Error

0.0b

Counts

600 → 7

Compiler

Compiled 14845 to 6677 computations (55% saved)

regimes474.0ms (5.7%)

Accuracy

Total 1.3b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 6082 to 4162 computations (31.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16

end0.0ms (0%)

sample1.7s (20.7%)

Algorithm

1×

intervals

Results

268.0ms	8000×	body	128	valid
9.0ms	279×	body	128	invalid

Compiler

Compiled 1537 to 1053 computations (31.5% saved)

Details

analyze456.0ms (5.5%)

sample27.0ms (0.3%)

simplify166.0ms (2%)

prune11.0ms (0.1%)

localize14.0ms (0.2%)

rewrite232.0ms (2.8%)

series377.0ms (4.6%)

simplify103.0ms (1.3%)

prune215.0ms (2.6%)

localize9.0ms (0.1%)

rewrite198.0ms (2.4%)

series431.0ms (5.2%)

simplify78.0ms (1%)

prune177.0ms (2.1%)

localize7.0ms (0.1%)

rewrite309.0ms (3.7%)

series399.0ms (4.8%)

simplify100.0ms (1.2%)

prune219.0ms (2.7%)

localize9.0ms (0.1%)

rewrite1.0s (12.6%)

series557.0ms (6.8%)

simplify217.0ms (2.6%)

prune720.0ms (8.7%)

regimes474.0ms (5.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (20.7%)

Profiling