Details

analyze437.0ms (4.9%)

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)

sample26.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	11×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify156.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (150.0ms)

Iter	Nodes	Cost
0	4942	16
1	4942	16

prune7.0ms (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

0.4b

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))
1.5b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite277.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

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)

series359.0ms (4%)

Error

0.3b

Counts

3 → 42

Calls

3 calls:

177.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
86.0ms	(/.f64 v (+.f64 t1 u))
65.0ms	(-.f64 -1 (/.f64 u t1))

Compiler

Compiled 1566 to 1085 computations (30.7% saved)

simplify106.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

251 → 251

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5457	6309

prune221.0ms (2.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	245	6	251
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	246	7	253

Error

0.2b

Counts

253 → 7

Compiler

Compiled 5243 to 1766 computations (66.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 -1 (/.f64 u t1))
0.0b	(/.f64 1 (+.f64 t1 u))
0.2b	(*.f64 v (/.f64 1 (+.f64 t1 u)))
1.5b	(/.f64 (*.f64 v (/.f64 1 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))

rewrite180.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

53×	`add-sqr-sqrt_binary64_100`
52×	`*-un-lft-identity_binary64_78`
44×	`times-frac_binary64_84`
32×	`add-exp-log_binary64_116`
31×	`add-cube-cbrt_binary64_113`
20×	`add-cbrt-cube_binary64_114`
18×	`associate-r_binary64_18`
13×	`cancel-sign-sub-inv_binary64_44`
11×	`div-exp_binary64_129`
10×	`associate-/r*_binary64_22`
8×	`prod-exp_binary64_127`
7×	`pow1_binary64_139` `distribute-lft-out_binary64_29`
6×	`add-log-exp_binary64_117` `cbrt-undiv_binary64_112` `difference-of-squares_binary64_47` `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` `distribute-lft-out--_binary64_30` `unswap-sqr_binary64_46` `associate-l_binary64_19`
2×	`frac-2neg_binary64_89` `clear-num_binary64_77` `un-div-inv_binary64_76` `associate-/l/_binary64_25` `associate-*r/_binary64_20` `flip3--_binary64_82` `flip--_binary64_53` `flip3-+_binary64_81` `flip-+_binary64_52`
1×	`pow-prod-down_binary64_149` `*-commutative_binary64_9` `inv-pow_binary64_163` `pow-flip_binary64_152` `diff-log_binary64_170` `sub-neg_binary64_71`

Counts

4 → 140

Calls

4 calls:

15.0ms	(/.f64 (*.f64 v (/.f64 1 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))
11.0ms	(*.f64 v (/.f64 1 (+.f64 t1 u)))
7.0ms	(-.f64 -1 (/.f64 u t1))
5.0ms	(/.f64 1 (+.f64 t1 u))

Compiler

Compiled 2924 to 1467 computations (49.8% saved)

series431.0ms (4.8%)

Error

0.2b

Counts

4 → 60

Calls

4 calls:

181.0ms	(/.f64 (*.f64 v (/.f64 1 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))
87.0ms	(*.f64 v (/.f64 1 (+.f64 t1 u)))
60.0ms	(/.f64 1 (+.f64 t1 u))
57.0ms	(-.f64 -1 (/.f64 u t1))

Compiler

Compiled 2385 to 1709 computations (28.3% saved)

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4995	2592
1	4995	2592

prune154.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	200	7	207

Error

0.2b

Counts

207 → 7

Compiler

Compiled 3391 to 1507 computations (55.6% 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))
0.6b	(/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u))))
1.6b	(/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u)))

rewrite1.5s (16.4%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

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)

series669.0ms (7.4%)

Error

0.2b

Counts

4 → 63

Calls

4 calls:

285.0ms	(/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u)))
181.0ms	(/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u))))
98.0ms	(/.f64 v (+.f64 t1 u))
61.0ms	(-.f64 -1 (/.f64 u t1))

Compiler

Compiled 2487 to 1805 computations (27.4% saved)

simplify259.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

753 → 753

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4986	25576
1	4986	25576

prune1.0s (11.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	751	2	753
Fresh	2	3	5
Picked	0	1	1
Done	1	0	1
Total	754	6	760

Error

0.2b

Counts

760 → 6

Compiler

Compiled 20113 to 8145 computations (59.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 -1 (/.f64 u t1))
0.3b	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
1.5b	(/.f64 (*.f64 (/.f64 1 (-.f64 -1 (/.f64 u t1))) v) (+.f64 t1 u))
2.1b	(*.f64 (/.f64 1 (-.f64 -1 (/.f64 u t1))) v)

rewrite212.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

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` `distribute-lft-out_binary64_29` `clear-num_binary64_77`
1×	`pow-prod-down_binary64_149` `*-commutative_binary64_9` `associate-/l/_binary64_25` `flip3-+_binary64_81` `flip-+_binary64_52` `inv-pow_binary64_163` `pow-flip_binary64_152` `diff-log_binary64_170` `sub-neg_binary64_71`

Counts

4 → 148

Calls

4 calls:

15.0ms	(/.f64 (*.f64 (/.f64 1 (-.f64 -1 (/.f64 u t1))) v) (+.f64 t1 u))
14.0ms	(*.f64 (/.f64 1 (-.f64 -1 (/.f64 u t1))) v)
10.0ms	(-.f64 -1 (/.f64 u t1))
9.0ms	(/.f64 1 (-.f64 -1 (/.f64 u t1)))

Compiler

Compiled 3278 to 1745 computations (46.8% saved)

series455.0ms (5.1%)

Error

Counts

4 → 63

Calls

4 calls:

176.0ms	(/.f64 (*.f64 (/.f64 1 (-.f64 -1 (/.f64 u t1))) v) (+.f64 t1 u))
116.0ms	(*.f64 (/.f64 1 (-.f64 -1 (/.f64 u t1))) v)
62.0ms	(-.f64 -1 (/.f64 u t1))
58.0ms	(/.f64 1 (-.f64 -1 (/.f64 u t1)))

Compiler

Compiled 2280 to 1565 computations (31.4% saved)

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5031	3053

prune172.0ms (1.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	209	2	211
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	211	6	217

Error

Counts

217 → 6

Compiler

Compiled 3598 to 1667 computations (53.7% saved)

regimes505.0ms (5.6%)

Accuracy

Total 1.5b remaining (99.8%)

Threshold costs 0b (0%)

Compiler

Compiled 5870 to 4178 computations (28.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	52
1	36	52

end0.0ms (0%)

sample1.7s (18.5%)

Algorithm

1×

intervals

Results

250.0ms	8000×	body	128	valid
7.0ms	242×	body	128	invalid

Compiler

Compiled 1506 to 1069 computations (29% saved)

Details

analyze437.0ms (4.9%)

sample26.0ms (0.3%)

simplify156.0ms (1.7%)

prune7.0ms (0.1%)

localize9.0ms (0.1%)

rewrite277.0ms (3.1%)

series359.0ms (4%)

simplify106.0ms (1.2%)

prune221.0ms (2.5%)

localize11.0ms (0.1%)

rewrite180.0ms (2%)

series431.0ms (4.8%)

simplify74.0ms (0.8%)

prune154.0ms (1.7%)

localize9.0ms (0.1%)

rewrite1.5s (16.4%)

series669.0ms (7.4%)

simplify259.0ms (2.9%)

prune1.0s (11.6%)

localize8.0ms (0.1%)

rewrite212.0ms (2.4%)

series455.0ms (5.1%)

simplify75.0ms (0.8%)

prune172.0ms (1.9%)

regimes505.0ms (5.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (18.5%)

Profiling