Details

analyze253.0ms (3.3%)

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)

sample18.0ms (0.2%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify247.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	4942	16
1	4942	16

prune5.0ms (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)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.3b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
0.0b	(/.f64 v (+.f64 t1 u))
0.0b	(/.f64 v (+.f64 t1 u))
1.3b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite49.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

223×	`times-frac_binary64_77`
181×	`add-sqr-sqrt_binary64_93`
174×	`*-un-lft-identity_binary64_71`
86×	`add-cube-cbrt_binary64_106`
38×	`difference-of-squares_binary64_40`
25×	`distribute-lft-out_binary64_22`
21×	`associate-/l*_binary64_16`
19×	`distribute-lft-out--_binary64_23`
18×	`associate-/r/_binary64_17`
10×	`associate-/r*_binary64_15`
9×	`add-cbrt-cube_binary64_107` `div-inv_binary64_68` `add-exp-log_binary64_109`
8×	`flip-+_binary64_45` `flip3-+_binary64_74`
4×	`div-exp_binary64_122` `cbrt-undiv_binary64_105`
2×	`add-log-exp_binary64_110` `clear-num_binary64_70` `pow1_binary64_132` `frac-2neg_binary64_82`
1×	`flip--_binary64_46` `associate-/l/_binary64_18` `flip3--_binary64_75`

Counts

2 → 182

Calls

4 calls:

18.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
6.0ms	(/.f64 v (+.f64 t1 u))
0.0ms	(/.f64 v (+.f64 t1 u))
0.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

series324.0ms (4.2%)

Counts

2 → 39

Calls

2 calls:

204.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
120.0ms	(/.f64 v (+.f64 t1 u))

Compiler

Compiled 1109 to 884 computations (20.3% saved)

simplify99.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5182	6176

prune239.0ms (3.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	215	6	221
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	215	8	223

Error

0.2b

Counts

223 → 8

Compiler

Compiled 4935 to 1654 computations (66.5% saved)

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

4.9b	(*.f64 v (/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))
0.1b	(/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
0.0b	(/.f64 1 (+.f64 t1 u))
0.0b	(/.f64 1 (+.f64 t1 u))
0.1b	(/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
4.9b	(*.f64 v (/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))

rewrite112.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

426×	`times-frac_binary64_77`
352×	`add-sqr-sqrt_binary64_93`
316×	`*-un-lft-identity_binary64_71`
155×	`add-cube-cbrt_binary64_106`
114×	`associate-r_binary64_11`
74×	`difference-of-squares_binary64_40`
43×	`distribute-lft-out_binary64_22`
37×	`distribute-lft-out--_binary64_23`
32×	`associate-/r/_binary64_17`
31×	`add-exp-log_binary64_109`
21×	`associate-/l*_binary64_16`
19×	`add-cbrt-cube_binary64_107`
16×	`div-inv_binary64_68`
14×	`div-exp_binary64_122` `flip-+_binary64_45` `flip3-+_binary64_74`
10×	`associate-/r*_binary64_15`
7×	`cbrt-undiv_binary64_105`
6×	`pow1_binary64_132`
5×	`prod-exp_binary64_120`
4×	`unswap-sqr_binary64_39`
3×	`add-log-exp_binary64_110` `associate-l_binary64_12` `rec-exp_binary64_121` `cbrt-unprod_binary64_104` `1-exp_binary64_115`
2×	`flip--_binary64_46` `clear-num_binary64_70` `flip3--_binary64_75` `frac-2neg_binary64_82`
1×	`associate-/l/_binary64_18` `inv-pow_binary64_156` `-commutative_binary64_2` `pow-prod-down_binary64_142` `associate-r/_binary64_13` `pow-flip_binary64_145`

Counts

3 → 327

Calls

6 calls:

43.0ms	(*.f64 v (/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))
21.0ms	(/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
6.0ms	(/.f64 1 (+.f64 t1 u))
0.0ms	(/.f64 1 (+.f64 t1 u))
0.0ms	(/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

series391.0ms (5.1%)

Counts

3 → 60

Calls

3 calls:

205.0ms	(*.f64 v (/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))
109.0ms	(/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
77.0ms	(/.f64 1 (+.f64 t1 u))

Compiler

Compiled 1511 to 1274 computations (15.7% saved)

simplify147.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

387 → 387

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4964	9492
1	4964	9492

prune489.0ms (6.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	387	0	387
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	387	8	395

Error

0.2b

Counts

395 → 8

Compiler

Compiled 9291 to 4480 computations (51.8% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

5.7b	(/.f64 (neg.f64 v) (+.f64 t1 (*.f64 u (+.f64 (/.f64 u t1) 2))))
0.1b	(*.f64 u (+.f64 (/.f64 u t1) 2))
0.1b	(*.f64 u (+.f64 (/.f64 u t1) 2))
5.7b	(/.f64 (neg.f64 v) (+.f64 t1 (*.f64 u (+.f64 (/.f64 u t1) 2))))

rewrite24.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`times-frac_binary64_77`
29×	`*-un-lft-identity_binary64_71` `add-sqr-sqrt_binary64_93`
27×	`add-cube-cbrt_binary64_106`
12×	`distribute-lft-neg-in_binary64_28` `distribute-rgt-neg-in_binary64_29`
10×	`associate-/l*_binary64_16`
6×	`add-cbrt-cube_binary64_107` `add-exp-log_binary64_109`
4×	`associate-r_binary64_11` `neg-mul-1_binary64_67` `pow1_binary64_132`
3×	`associate-/r_binary64_15` `associate-l*_binary64_12`
2×	`associate-/r/_binary64_17` `add-log-exp_binary64_110` `flip-+_binary64_45` `associate-*r/_binary64_13` `flip3-+_binary64_74`
1×	`unswap-sqr_binary64_39` `neg-sub0_binary64_66` `div-exp_binary64_122` `distribute-lft-out_binary64_22` `clear-num_binary64_70` `div-sub_binary64_76` `div-inv_binary64_68` `distribute-lft-in_binary64_20` `*-commutative_binary64_2` `distribute-frac-neg_binary64_34` `cbrt-undiv_binary64_105` `prod-exp_binary64_120` `cbrt-unprod_binary64_104` `pow-prod-down_binary64_142` `distribute-rgt-in_binary64_21` `frac-2neg_binary64_82`

Counts

2 → 82

Calls

4 calls:

10.0ms	(*.f64 u (+.f64 (/.f64 u t1) 2))
6.0ms	(/.f64 (neg.f64 v) (+.f64 t1 (*.f64 u (+.f64 (/.f64 u t1) 2))))
0.0ms	(*.f64 u (+.f64 (/.f64 u t1) 2))
0.0ms	(/.f64 (neg.f64 v) (+.f64 t1 (*.f64 u (+.f64 (/.f64 u t1) 2))))

series305.0ms (4%)

Counts

2 → 30

Calls

2 calls:

218.0ms	(/.f64 (neg.f64 v) (+.f64 t1 (*.f64 u (+.f64 (/.f64 u t1) 2))))
87.0ms	(*.f64 u (+.f64 (/.f64 u t1) 2))

Compiler

Compiled 729 to 621 computations (14.8% saved)

simplify68.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5047	2568

prune93.0ms (1.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	112	8	120

Error

0.2b

Counts

120 → 8

Compiler

Compiled 2260 to 1041 computations (53.9% saved)

localize13.0ms (0.2%)

Local error

Found 8 expressions with local error:

11.9b	(.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 1 (.f64 (/.f64 u t1) (/.f64 u t1)))) (+.f64 -1 (/.f64 u t1)))
2.0b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 1 (*.f64 (/.f64 u t1) (/.f64 u t1))))
0.2b	(*.f64 (/.f64 u t1) (/.f64 u t1))
0.0b	(/.f64 v (+.f64 t1 u))
0.0b	(/.f64 v (+.f64 t1 u))
0.2b	(*.f64 (/.f64 u t1) (/.f64 u t1))
2.0b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 1 (*.f64 (/.f64 u t1) (/.f64 u t1))))
11.9b	(.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 1 (.f64 (/.f64 u t1) (/.f64 u t1)))) (+.f64 -1 (/.f64 u t1)))

rewrite115.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

367×	`times-frac_binary64_77`
281×	`*-un-lft-identity_binary64_71`
226×	`add-sqr-sqrt_binary64_93`
168×	`add-cube-cbrt_binary64_106`
109×	`associate-l_binary64_12`
74×	`difference-of-squares_binary64_40`
38×	`distribute-lft-out_binary64_22`
32×	`add-cbrt-cube_binary64_107` `add-exp-log_binary64_109`
28×	`associate-/r/_binary64_17`
21×	`associate-/l*_binary64_16`
18×	`div-inv_binary64_68`
17×	`associate-r_binary64_11`
14×	`flip-+_binary64_45` `flip3-+_binary64_74`
13×	`pow1_binary64_132` `swap-sqr_binary64_38`
11×	`div-exp_binary64_122` `cbrt-undiv_binary64_105`
9×	`associate-/r*_binary64_15`
7×	`unswap-sqr_binary64_39` `prod-exp_binary64_120` `cbrt-unprod_binary64_104`
4×	`add-log-exp_binary64_110`
3×	`frac-times_binary64_81` `associate-*r/_binary64_13`
2×	`flip--_binary64_46` `clear-num_binary64_70` `associate-l/_binary64_14` `-commutative_binary64_2` `flip3--_binary64_75` `pow-prod-down_binary64_142` `frac-2neg_binary64_82`
1×	`pow-sqr_binary64_44` `pow2_binary64_152` `associate-/l/_binary64_18` `distribute-lft-in_binary64_20` `pow-prod-up_binary64_141` `distribute-rgt-in_binary64_21` `pow-plus_binary64_134`

Counts

4 → 355

Calls

8 calls:

35.0ms	(.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 1 (.f64 (/.f64 u t1) (/.f64 u t1)))) (+.f64 -1 (/.f64 u t1)))
12.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 1 (*.f64 (/.f64 u t1) (/.f64 u t1))))
12.0ms	(*.f64 (/.f64 u t1) (/.f64 u t1))
5.0ms	(/.f64 v (+.f64 t1 u))
0.0ms	(/.f64 v (+.f64 t1 u))

series784.0ms (10.2%)

Counts

4 → 63

Calls

4 calls:

331.0ms	(.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 1 (.f64 (/.f64 u t1) (/.f64 u t1)))) (+.f64 -1 (/.f64 u t1)))
251.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 1 (*.f64 (/.f64 u t1) (/.f64 u t1))))
123.0ms	(/.f64 v (+.f64 t1 u))
78.0ms	(*.f64 (/.f64 u t1) (/.f64 u t1))

Compiler

Compiled 2384 to 1768 computations (25.8% saved)

simplify121.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

418 → 418

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5056	11703

prune503.0ms (6.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	417	1	418
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	418	8	426

Error

0.2b

Counts

426 → 8

Compiler

Compiled 13077 to 4274 computations (67.3% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	332	1330
1	332	1330

regimes230.0ms (3%)

Accuracy

Total 1.5b remaining (88.7%)

Threshold costs 0b (0%)

Compiler

Compiled 2634 to 1752 computations (33.5% 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%)

sample3.0s (39.1%)

Algorithm

1×

intervals

Results

263.0ms	8000×	body	128	valid
8.0ms	258×	body	128	invalid

Compiler

Compiled 2641 to 1746 computations (33.9% saved)

Pareto

0.27218940405144276

Details

analyze253.0ms (3.3%)

sample18.0ms (0.2%)

simplify247.0ms (3.2%)

prune5.0ms (0.1%)

localize7.0ms (0.1%)

rewrite49.0ms (0.6%)

series324.0ms (4.2%)

simplify99.0ms (1.3%)

prune239.0ms (3.1%)

localize9.0ms (0.1%)

rewrite112.0ms (1.5%)

series391.0ms (5.1%)

simplify147.0ms (1.9%)

prune489.0ms (6.4%)

localize8.0ms (0.1%)

rewrite24.0ms (0.3%)

series305.0ms (4%)

simplify68.0ms (0.9%)

prune93.0ms (1.2%)

localize13.0ms (0.2%)

rewrite115.0ms (1.5%)

series784.0ms (10.2%)

simplify121.0ms (1.6%)

prune503.0ms (6.5%)

simplify19.0ms (0.2%)

regimes230.0ms (3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.0s (39.1%)

Profiling