Details

analyze259.0ms (6.5%)

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)

sample17.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
0.0ms	10×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify211.0ms (5.3%)

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: 0.1b

Counts

2 → 2

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
1.4b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite45.0ms (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))

series188.0ms (4.7%)

Counts

2 → 6

Calls

2 calls:

127.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
60.0ms	(/.f64 v (+.f64 t1 u))

simplify111.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4977	5524
1	4977	5524

prune186.0ms (4.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	185	3	188
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	185	5	190

Merged error: 0.1b

Counts

190 → 5

Compiler

Compiled 4311 to 1460 computations (66.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 t1 u))
0.1b	(/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
2.6b	(*.f64 v (/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))

rewrite116.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

426×	`times-frac_binary64_83`
352×	`add-sqr-sqrt_binary64_98`
316×	`*-un-lft-identity_binary64_77`
155×	`add-cube-cbrt_binary64_109`
114×	`associate-r_binary64_19`
74×	`difference-of-squares_binary64_46`
43×	`distribute-lft-out_binary64_30`
37×	`distribute-lft-out--_binary64_31`
32×	`associate-/r/_binary64_25`
31×	`add-exp-log_binary64_112`
21×	`associate-/l*_binary64_24`
19×	`add-cbrt-cube_binary64_110`
16×	`div-inv_binary64_74`
14×	`flip-+_binary64_51` `flip3-+_binary64_80` `div-exp_binary64_125`
10×	`associate-/r*_binary64_23`
7×	`cbrt-undiv_binary64_108`
6×	`pow1_binary64_135`
5×	`prod-exp_binary64_123`
4×	`unswap-sqr_binary64_45`
3×	`associate-l_binary64_20` `add-log-exp_binary64_113` `cbrt-unprod_binary64_107` `1-exp_binary64_118` `rec-exp_binary64_124`
2×	`flip--_binary64_52` `clear-num_binary64_76` `flip3--_binary64_81` `frac-2neg_binary64_88`
1×	`pow-prod-down_binary64_145` `inv-pow_binary64_159` `associate-r/_binary64_21` `-commutative_binary64_10` `associate-/l/_binary64_26` `pow-flip_binary64_148`

Counts

3 → 327

Calls

3 calls:

44.0ms	(*.f64 v (/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))
18.0ms	(/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
6.0ms	(/.f64 1 (+.f64 t1 u))

series257.0ms (6.4%)

Counts

3 → 9

Calls

3 calls:

127.0ms	(*.f64 v (/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))
89.0ms	(/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
42.0ms	(/.f64 1 (+.f64 t1 u))

simplify112.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5069	8292

prune405.0ms (10.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	336	0	336
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	336	5	341

Merged error: 0.1b

Counts

341 → 5

Compiler

Compiled 8225 to 3992 computations (51.5% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))
3.2b	(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1))))

rewrite35.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_98`
10×	`*-un-lft-identity_binary64_77`
9×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110`
8×	`frac-times_binary64_87` `associate-/r/_binary64_25`
6×	`flip-+_binary64_51` `flip3-+_binary64_80` `flip--_binary64_52` `add-cube-cbrt_binary64_109` `flip3--_binary64_81` `associate-r_binary64_19`
4×	`associate-l_binary64_20` `times-frac_binary64_83` `pow1_binary64_135` `associate-l/_binary64_22` `associate-r/_binary64_21`
3×	`associate-/l*_binary64_24`
2×	`add-log-exp_binary64_113` `cbrt-unprod_binary64_107` `cbrt-undiv_binary64_108` `sub-neg_binary64_70` `div-exp_binary64_125` `difference-of-squares_binary64_46` `prod-exp_binary64_123`
1×	`associate-/r_binary64_23` `pow-prod-down_binary64_145` `distribute-lft-out--_binary64_31` `distribute-lft-in_binary64_28` `unswap-sqr_binary64_45` `-commutative_binary64_10` `clear-num_binary64_76` `distribute-rgt-in_binary64_29` `frac-2neg_binary64_88` `distribute-lft-out_binary64_30` `div-inv_binary64_74`

Counts

2 → 61

Calls

2 calls:

16.0ms	(*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))
14.0ms	(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1))))

series154.0ms (3.8%)

Counts

2 → 6

Calls

2 calls:

117.0ms	(/.f64 v (*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1))))
37.0ms	(*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))

simplify54.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5030	1264

prune55.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	67	5	72

Merged error: 0.1b

Counts

72 → 5

Compiler

Compiled 1285 to 548 computations (57.4% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
0.2b	(*.f64 (/.f64 u t1) (/.f64 u t1))
0.7b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 1 (*.f64 (/.f64 u t1) (/.f64 u t1))))
15.8b	(.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 1 (.f64 (/.f64 u t1) (/.f64 u t1)))) (+.f64 -1 (/.f64 u t1)))

rewrite118.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

367×	`times-frac_binary64_83`
281×	`*-un-lft-identity_binary64_77`
226×	`add-sqr-sqrt_binary64_98`
168×	`add-cube-cbrt_binary64_109`
109×	`associate-l_binary64_20`
74×	`difference-of-squares_binary64_46`
38×	`distribute-lft-out_binary64_30`
32×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110`
28×	`associate-/r/_binary64_25`
21×	`associate-/l*_binary64_24`
18×	`div-inv_binary64_74`
17×	`associate-r_binary64_19`
14×	`flip-+_binary64_51` `flip3-+_binary64_80`
13×	`pow1_binary64_135` `swap-sqr_binary64_44`
11×	`cbrt-undiv_binary64_108` `div-exp_binary64_125`
9×	`associate-/r*_binary64_23`
7×	`cbrt-unprod_binary64_107` `unswap-sqr_binary64_45` `prod-exp_binary64_123`
4×	`add-log-exp_binary64_113`
3×	`frac-times_binary64_87` `associate-*r/_binary64_21`
2×	`pow-prod-down_binary64_145` `associate-l/_binary64_22` `flip--_binary64_52` `-commutative_binary64_10` `clear-num_binary64_76` `flip3--_binary64_81` `frac-2neg_binary64_88`
1×	`pow2_binary64_155` `pow-sqr_binary64_50` `pow-plus_binary64_137` `pow-prod-up_binary64_144` `distribute-lft-in_binary64_28` `associate-/l/_binary64_26` `distribute-rgt-in_binary64_29`

Counts

4 → 355

Calls

4 calls:

34.0ms	(.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 1 (.f64 (/.f64 u t1) (/.f64 u t1)))) (+.f64 -1 (/.f64 u t1)))
13.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 1 (*.f64 (/.f64 u t1) (/.f64 u t1))))
12.0ms	(*.f64 (/.f64 u t1) (/.f64 u t1))
6.0ms	(/.f64 v (+.f64 t1 u))

series483.0ms (12%)

Counts

4 → 12

Calls

4 calls:

218.0ms	(.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 1 (.f64 (/.f64 u t1) (/.f64 u t1)))) (+.f64 -1 (/.f64 u t1)))
163.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 1 (*.f64 (/.f64 u t1) (/.f64 u t1))))
65.0ms	(/.f64 v (+.f64 t1 u))
36.0ms	(*.f64 (/.f64 u t1) (/.f64 u t1))

simplify108.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

367 → 367

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5118	10580

prune418.0ms (10.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	366	1	367
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	366	6	372

Merged error: 0.1b

Counts

372 → 6

Compiler

Compiled 11894 to 3911 computations (67.1% saved)

regimes58.0ms (1.5%)

Compiler: Compiled 386 to 294 computations (23.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16

end0.0ms (0%)

sample578.0ms (14.4%)

Algorithm

1×

intervals

Results

283.0ms	8000×	body	128	valid
10.0ms	286×	body	128	invalid

Compiler

Compiled 113 to 86 computations (23.9% saved)

Details

analyze259.0ms (6.5%)

sample17.0ms (0.4%)

simplify211.0ms (5.3%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

rewrite45.0ms (1.1%)

series188.0ms (4.7%)

simplify111.0ms (2.8%)

prune186.0ms (4.6%)

localize9.0ms (0.2%)

rewrite116.0ms (2.9%)

series257.0ms (6.4%)

simplify112.0ms (2.8%)

prune405.0ms (10.1%)

localize8.0ms (0.2%)

rewrite35.0ms (0.9%)

series154.0ms (3.8%)

simplify54.0ms (1.3%)

prune55.0ms (1.4%)

localize13.0ms (0.3%)

rewrite118.0ms (2.9%)

series483.0ms (12%)

simplify108.0ms (2.7%)

prune418.0ms (10.4%)

regimes58.0ms (1.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample578.0ms (14.4%)

Profiling