Details

analyze445.0ms (4.6%)

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)

sample25.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	10×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify156.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (150.0ms)

Iter	Nodes	Cost
0	4942	16
1	4942	16

prune6.0ms (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

0.5b

Counts

2 → 2

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 -1 (/.f64 u t1))
0.0b	(/.f64 v (+.f64 t1 u))
2.0b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite277.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

233×	`times-frac_binary64_84`
194×	`add-sqr-sqrt_binary64_100`
184×	`*-un-lft-identity_binary64_78`
94×	`add-cube-cbrt_binary64_113`
40×	`difference-of-squares_binary64_47`
25×	`distribute-lft-out_binary64_29`
21×	`associate-/l*_binary64_23`
20×	`distribute-lft-out--_binary64_30`
18×	`associate-/r/_binary64_24`
13×	`cancel-sign-sub-inv_binary64_44`
10×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `div-inv_binary64_75` `associate-/r*_binary64_22`
8×	`flip3-+_binary64_81` `flip-+_binary64_52`
5×	`add-log-exp_binary64_117`
4×	`div-exp_binary64_129` `cbrt-undiv_binary64_112`
3×	`pow1_binary64_139`
2×	`frac-2neg_binary64_89` `clear-num_binary64_77` `flip3--_binary64_82` `flip--_binary64_53`
1×	`associate-/l/_binary64_25` `diff-log_binary64_170` `sub-neg_binary64_71`

Counts

3 → 209

Calls

3 calls:

17.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
7.0ms	(-.f64 -1 (/.f64 u t1))
5.0ms	(/.f64 v (+.f64 t1 u))

Compiler

Compiled 5020 to 1792 computations (64.3% saved)

series479.0ms (5%)

Error

0.5b

Counts

3 → 60

Calls

3 calls:

241.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
125.0ms	(/.f64 v (+.f64 t1 u))
63.0ms	(-.f64 -1 (/.f64 u t1))

Compiler

Compiled 2502 to 1718 computations (31.3% saved)

simplify109.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

269 → 269

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5286	7026

prune253.0ms (2.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	263	6	269
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	263	8	271

Error

0.5b

Counts

271 → 8

Compiler

Compiled 5837 to 2002 computations (65.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 -1 (/.f64 u t1))
0.0b	(/.f64 v (+.f64 t1 u))
0.3b	(/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u))))
2.0b	(/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u)))

rewrite1.3s (14%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

1364×	`times-frac_binary64_84`
937×	`add-sqr-sqrt_binary64_100`
855×	`*-un-lft-identity_binary64_78`
477×	`add-cube-cbrt_binary64_113`
184×	`difference-of-squares_binary64_47`
135×	`associate-/r*_binary64_22`
97×	`distribute-lft-out_binary64_29`
92×	`distribute-lft-out--_binary64_30`
70×	`associate-/r/_binary64_24`
39×	`div-inv_binary64_75`
32×	`add-exp-log_binary64_116` `flip3-+_binary64_81` `flip-+_binary64_52`
20×	`add-cbrt-cube_binary64_114`
19×	`div-exp_binary64_129`
13×	`cancel-sign-sub-inv_binary64_44`
12×	`associate-/l*_binary64_23`
10×	`cbrt-undiv_binary64_112`
6×	`add-log-exp_binary64_117`
5×	`pow1_binary64_139`
3×	`frac-2neg_binary64_89` `clear-num_binary64_77` `1-exp_binary64_122` `rec-exp_binary64_128`
2×	`flip3--_binary64_82` `associate-/l/_binary64_25` `flip--_binary64_53`
1×	`div-sub_binary64_83` `inv-pow_binary64_163` `pow-flip_binary64_152` `diff-log_binary64_170` `sub-neg_binary64_71`

Counts

4 → 690

Calls

4 calls:

36.0ms	(/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u))))
17.0ms	(/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u)))
7.0ms	(-.f64 -1 (/.f64 u t1))
5.0ms	(/.f64 v (+.f64 t1 u))

Compiler

Compiled 21076 to 9386 computations (55.5% saved)

series795.0ms (8.2%)

Error

0.5b

Counts

4 → 81

Calls

4 calls:

295.0ms	(/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u)))
236.0ms	(/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u))))
132.0ms	(/.f64 v (+.f64 t1 u))
67.0ms	(-.f64 -1 (/.f64 u t1))

Compiler

Compiled 3453 to 2468 computations (28.5% saved)

simplify260.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

771 → 771

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5418	26270

prune1.0s (10.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	769	2	771
Fresh	2	4	6
Picked	0	1	1
Done	1	0	1
Total	772	7	779

Error

0.5b

Counts

779 → 7

Compiler

Compiled 20706 to 8408 computations (59.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 -1 (/.f64 u t1))
0.3b	(/.f64 (*.f64 (/.f64 1 (-.f64 -1 (/.f64 u t1))) v) (+.f64 t1 u))
0.3b	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
3.3b	(*.f64 (/.f64 1 (-.f64 -1 (/.f64 u t1))) v)

rewrite208.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

82×	`add-sqr-sqrt_binary64_100`
59×	`times-frac_binary64_84`
56×	`*-un-lft-identity_binary64_78`
35×	`add-cube-cbrt_binary64_113`
32×	`add-exp-log_binary64_116`
24×	`associate-l_binary64_19`
20×	`add-cbrt-cube_binary64_114`
16×	`difference-of-squares_binary64_47`
13×	`cancel-sign-sub-inv_binary64_44`
11×	`div-exp_binary64_129`
10×	`associate-/r*_binary64_22`
8×	`prod-exp_binary64_127` `distribute-lft-out--_binary64_30`
7×	`pow1_binary64_139`
6×	`add-log-exp_binary64_117` `cbrt-undiv_binary64_112` `associate-/r/_binary64_24`
4×	`cbrt-unprod_binary64_111` `div-inv_binary64_75` `associate-/l*_binary64_23`
3×	`1-exp_binary64_122` `rec-exp_binary64_128` `unswap-sqr_binary64_46` `flip3--_binary64_82` `flip--_binary64_53` `associate-r_binary64_18`
2×	`associate-*l/_binary64_21` `frac-2neg_binary64_89` `clear-num_binary64_77` `distribute-lft-out_binary64_29`
1×	`pow-prod-down_binary64_149` `*-commutative_binary64_9` `inv-pow_binary64_163` `pow-flip_binary64_152` `associate-/l/_binary64_25` `flip3-+_binary64_81` `flip-+_binary64_52` `diff-log_binary64_170` `sub-neg_binary64_71`

Counts

4 → 148

Calls

4 calls:

16.0ms	(*.f64 (/.f64 1 (-.f64 -1 (/.f64 u t1))) v)
16.0ms	(/.f64 (*.f64 (/.f64 1 (-.f64 -1 (/.f64 u t1))) v) (+.f64 t1 u))
9.0ms	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
7.0ms	(-.f64 -1 (/.f64 u t1))

Compiler

Compiled 3278 to 1745 computations (46.8% saved)

series598.0ms (6.2%)

Error

0.0b

Counts

4 → 81

Calls

4 calls:

221.0ms	(/.f64 (*.f64 (/.f64 1 (-.f64 -1 (/.f64 u t1))) v) (+.f64 t1 u))
166.0ms	(*.f64 (/.f64 1 (-.f64 -1 (/.f64 u t1))) v)
75.0ms	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
66.0ms	(-.f64 -1 (/.f64 u t1))

Compiler

Compiled 3345 to 2294 computations (31.4% saved)

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4986	3728
1	4986	3728

prune205.0ms (2.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	225	4	229
Fresh	3	2	5
Picked	1	0	1
Done	1	0	1
Total	230	6	236

Error

0.0b

Counts

236 → 6

Compiler

Compiled 4195 to 1974 computations (52.9% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 -1 (/.f64 u t1))
0.3b	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 t1 u))
3.4b	(/.f64 v (-.f64 -1 (/.f64 u t1)))

rewrite265.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

233×	`times-frac_binary64_84`
196×	`add-sqr-sqrt_binary64_100`
186×	`*-un-lft-identity_binary64_78`
96×	`add-cube-cbrt_binary64_113`
40×	`difference-of-squares_binary64_47`
27×	`associate-/l*_binary64_23`
25×	`distribute-lft-out_binary64_29`
20×	`distribute-lft-out--_binary64_30`
14×	`associate-/r/_binary64_24`
13×	`cancel-sign-sub-inv_binary64_44`
10×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `associate-/r*_binary64_22`
8×	`div-inv_binary64_75`
7×	`flip3--_binary64_82` `flip--_binary64_53`
5×	`add-log-exp_binary64_117`
4×	`div-exp_binary64_129` `cbrt-undiv_binary64_112`
3×	`pow1_binary64_139`
2×	`frac-2neg_binary64_89` `clear-num_binary64_77`
1×	`associate-/l/_binary64_25` `flip3-+_binary64_81` `flip-+_binary64_52` `diff-log_binary64_170` `sub-neg_binary64_71`

Counts

3 → 209

Calls

3 calls:

16.0ms	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 t1 u))
8.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))
7.0ms	(-.f64 -1 (/.f64 u t1))

Compiler

Compiled 5064 to 2141 computations (57.7% saved)

series518.0ms (5.4%)

Error

0.0b

Counts

3 → 60

Calls

3 calls:

235.0ms	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 t1 u))
170.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))
65.0ms	(-.f64 -1 (/.f64 u t1))

Compiler

Compiled 2466 to 1690 computations (31.5% saved)

simplify107.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

269 → 269

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5148	6893

prune225.0ms (2.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	269	0	269
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	269	6	275

Error

0.0b

Counts

275 → 6

Compiler

Compiled 5613 to 2163 computations (61.5% saved)

regimes497.0ms (5.2%)

Accuracy

Total 1.3b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 5722 to 4130 computations (27.8% 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 (17.7%)

Algorithm

1×

intervals

Results

261.0ms	8000×	body	128	valid
7.0ms	250×	body	128	invalid

Compiler

Compiled 1447 to 1045 computations (27.8% saved)

Details

analyze445.0ms (4.6%)

sample25.0ms (0.3%)

simplify156.0ms (1.6%)

prune6.0ms (0.1%)

localize9.0ms (0.1%)

rewrite277.0ms (2.9%)

series479.0ms (5%)

simplify109.0ms (1.1%)

prune253.0ms (2.6%)

localize9.0ms (0.1%)

rewrite1.3s (14%)

series795.0ms (8.2%)

simplify260.0ms (2.7%)

prune1.0s (10.8%)

localize9.0ms (0.1%)

rewrite208.0ms (2.2%)

series598.0ms (6.2%)

simplify83.0ms (0.9%)

prune205.0ms (2.1%)

localize7.0ms (0.1%)

rewrite265.0ms (2.7%)

series518.0ms (5.4%)

simplify107.0ms (1.1%)

prune225.0ms (2.3%)

regimes497.0ms (5.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (17.7%)

Profiling