Details

analyze244.0ms (4%)

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)

sample16.0ms (0.3%)

Algorithm

1×

intervals

Results

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

Compiler

Compiled 25 to 20 computations (20% saved)

simplify220.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4906	16
1	4906	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: 0.3b

Counts

2 → 2

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize7.0ms (0.1%)

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)))

rewrite49.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

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-cbrt-cube_binary64_114` `div-inv_binary64_75` `add-exp-log_binary64_116`
8×	`flip-+_binary64_52` `flip3-+_binary64_81`
4×	`cbrt-undiv_binary64_112` `div-exp_binary64_129`
2×	`add-log-exp_binary64_117` `frac-2neg_binary64_89` `clear-num_binary64_77` `pow1_binary64_139`
1×	`flip3--_binary64_82` `flip--_binary64_53` `associate-/l/_binary64_25`

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))

series183.0ms (3%)

Counts

2 → 6

Calls

2 calls:

123.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
59.0ms	(/.f64 v (+.f64 t1 u))

simplify102.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5405	5524

prune176.0ms (2.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	184	4	188
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	185	5	190

Merged error: 0.0b

Counts

190 → 5

Compiler

Compiled 4333 to 1474 computations (66% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.8b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1))))) (/.f64 (/.f64 v (+.f64 t1 u)) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
9.0b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
9.0b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
9.0b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

rewrite183.0ms (3%)

Algorithm

1×	rewrite-expression-head

Rules

322×	`times-frac_binary64_84`
266×	`add-sqr-sqrt_binary64_100`
219×	`*-un-lft-identity_binary64_78`
168×	`associate-r_binary64_18`
132×	`cbrt-prod_binary64_109`
118×	`add-cube-cbrt_binary64_113`
82×	`add-exp-log_binary64_116`
42×	`difference-of-squares_binary64_47`
33×	`div-exp_binary64_129`
30×	`prod-exp_binary64_127`
28×	`add-cbrt-cube_binary64_114` `associate-/r/_binary64_24`
27×	`distribute-lft-out_binary64_29`
21×	`distribute-lft-out--_binary64_30`
20×	`cbrt-div_binary64_110`
15×	`associate-l_binary64_19` `cbrt-undiv_binary64_112` `unswap-sqr_binary64_46`
12×	`cbrt-unprod_binary64_111`
11×	`div-inv_binary64_75`
10×	`flip3--_binary64_82` `flip--_binary64_53`
9×	`flip-+_binary64_52` `flip3-+_binary64_81`
6×	`1-exp_binary64_122` `rec-exp_binary64_128` `pow1_binary64_139`
5×	`frac-times_binary64_88`
4×	`add-log-exp_binary64_117`
3×	`pow1/3_binary64_160` `associate-l/_binary64_21` `associate-r/_binary64_20`
1×	`*-commutative_binary64_9` `pow-prod-down_binary64_149`

Counts

4 → 288

Calls

4 calls:

109.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1))))) (/.f64 (/.f64 v (+.f64 t1 u)) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
7.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
7.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
7.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

series1.6s (26.5%)

Counts

4 → 12

Calls

4 calls:

689.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1))))) (/.f64 (/.f64 v (+.f64 t1 u)) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
317.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
308.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
305.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

simplify138.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

300 → 300

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4982	10937
1	4982	10937

prune550.0ms (9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	300	0	300
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	300	5	305

Merged error: 0.0b

Counts

305 → 5

Compiler

Compiled 11350 to 5374 computations (52.7% saved)

localize9.0ms (0.1%)

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)))
2.8b	(*.f64 v (/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))

rewrite120.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

426×	`times-frac_binary64_84`
352×	`add-sqr-sqrt_binary64_100`
316×	`*-un-lft-identity_binary64_78`
155×	`add-cube-cbrt_binary64_113`
114×	`associate-r_binary64_18`
74×	`difference-of-squares_binary64_47`
43×	`distribute-lft-out_binary64_29`
37×	`distribute-lft-out--_binary64_30`
32×	`associate-/r/_binary64_24`
31×	`add-exp-log_binary64_116`
21×	`associate-/l*_binary64_23`
19×	`add-cbrt-cube_binary64_114`
16×	`div-inv_binary64_75`
14×	`div-exp_binary64_129` `flip-+_binary64_52` `flip3-+_binary64_81`
10×	`associate-/r*_binary64_22`
7×	`cbrt-undiv_binary64_112`
6×	`pow1_binary64_139`
5×	`prod-exp_binary64_127`
4×	`unswap-sqr_binary64_46`
3×	`associate-l_binary64_19` `add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `1-exp_binary64_122` `rec-exp_binary64_128`
2×	`flip3--_binary64_82` `frac-2neg_binary64_89` `flip--_binary64_53` `clear-num_binary64_77`
1×	`-commutative_binary64_9` `inv-pow_binary64_163` `pow-flip_binary64_152` `pow-prod-down_binary64_149` `associate-r/_binary64_20` `associate-/l/_binary64_25`

Counts

3 → 327

Calls

3 calls:

46.0ms	(*.f64 v (/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))
17.0ms	(/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
6.0ms	(/.f64 1 (+.f64 t1 u))

series241.0ms (4%)

Counts

3 → 9

Calls

3 calls:

118.0ms	(*.f64 v (/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))
85.0ms	(/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
38.0ms	(/.f64 1 (+.f64 t1 u))

simplify112.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5073	8292

prune417.0ms (6.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	334	2	336
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	335	6	341

Merged error: 0b

Counts

341 → 6

Compiler

Compiled 8249 to 4009 computations (51.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))
0.4b	(/.f64 1 (*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1))))
2.8b	(.f64 v (/.f64 1 (.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))))

rewrite67.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-exp-log_binary64_116`
33×	`add-sqr-sqrt_binary64_100`
28×	`*-un-lft-identity_binary64_78`
26×	`cancel-sign-sub-inv_binary64_44`
25×	`times-frac_binary64_84`
24×	`add-cube-cbrt_binary64_113`
21×	`associate-r_binary64_18`
19×	`add-cbrt-cube_binary64_114`
16×	`associate-/r/_binary64_24`
14×	`distribute-lft-in_binary64_27` `prod-exp_binary64_127` `distribute-rgt-in_binary64_28`
12×	`frac-times_binary64_88`
10×	`pow1_binary64_139`
9×	`flip-+_binary64_52` `flip3--_binary64_82` `flip--_binary64_53` `flip3-+_binary64_81`
8×	`div-exp_binary64_129`
7×	`associate-l_binary64_19` `associate-*r/_binary64_20`
6×	`cbrt-unprod_binary64_111` `associate-*l/_binary64_21`
4×	`cbrt-undiv_binary64_112` `1-exp_binary64_122` `div-inv_binary64_75` `rec-exp_binary64_128`
3×	`add-log-exp_binary64_117` `associate-/l*_binary64_23` `pow-prod-down_binary64_149`
2×	`*-commutative_binary64_9` `pow-flip_binary64_152` `unswap-sqr_binary64_46` `difference-of-squares_binary64_47` `sub-neg_binary64_71`
1×	`inv-pow_binary64_163` `distribute-lft-out--_binary64_30` `un-div-inv_binary64_76` `frac-2neg_binary64_89` `associate-/r*_binary64_22` `clear-num_binary64_77` `distribute-lft-out_binary64_29`

Counts

3 → 134

Calls

3 calls:

20.0ms	(.f64 v (/.f64 1 (.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))))
17.0ms	(/.f64 1 (*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1))))
16.0ms	(*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))

series237.0ms (3.9%)

Counts

3 → 9

Calls

3 calls:

122.0ms	(.f64 v (/.f64 1 (.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))))
82.0ms	(/.f64 1 (*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1))))
33.0ms	(*.f64 (+.f64 t1 u) (-.f64 -1 (/.f64 u t1)))

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5058	2597

prune112.0ms (1.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	143	6	149

Merged error: 0b

Counts

149 → 6

Compiler

Compiled 2742 to 1180 computations (57% saved)

regimes228.0ms (3.7%)

Compiler: Compiled 2887 to 1902 computations (34.1% 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%)

sample971.0ms (15.9%)

Algorithm

1×

intervals

Results

267.0ms	8000×	body	128	valid
9.0ms	277×	body	128	invalid

Compiler

Compiled 729 to 481 computations (34% saved)

Details

analyze244.0ms (4%)

sample16.0ms (0.3%)

simplify220.0ms (3.6%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite49.0ms (0.8%)

series183.0ms (3%)

simplify102.0ms (1.7%)

prune176.0ms (2.9%)

localize12.0ms (0.2%)

rewrite183.0ms (3%)

series1.6s (26.5%)

simplify138.0ms (2.3%)

prune550.0ms (9%)

localize9.0ms (0.1%)

rewrite120.0ms (2%)

series241.0ms (4%)

simplify112.0ms (1.8%)

prune417.0ms (6.8%)

localize9.0ms (0.1%)

rewrite67.0ms (1.1%)

series237.0ms (3.9%)

simplify69.0ms (1.1%)

prune112.0ms (1.8%)

regimes228.0ms (3.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample971.0ms (15.9%)

Profiling