Details

analyze246.0ms (3.6%)

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)

sample19.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify235.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	4942	16
1	4942	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: 0.5b

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

rewrite45.0ms (0.7%)

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:

16.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
5.0ms	(/.f64 v (+.f64 t1 u))

series85.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

59.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
26.0ms	(/.f64 v (+.f64 t1 u))

simplify84.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5011	5524

prune188.0ms (2.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	183	5	188
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	184	6	190

Merged error: 0.2b

Counts

190 → 6

Compiler

Compiled 4372 to 1493 computations (65.9% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 t1 u))
0.6b	(cbrt.f64 (+.f64 t1 u))
0.6b	(cbrt.f64 (+.f64 t1 u))
0.7b	(.f64 (/.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (*.f64 (cbrt.f64 (+.f64 t1 u)) (cbrt.f64 (+.f64 t1 u)))) (/.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1))))

rewrite221.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Rules

613×	`times-frac_binary64_84`
495×	`add-sqr-sqrt_binary64_100`
393×	`*-un-lft-identity_binary64_78`
294×	`associate-r_binary64_18`
290×	`cbrt-prod_binary64_109`
219×	`add-cube-cbrt_binary64_113`
96×	`difference-of-squares_binary64_47`
73×	`add-exp-log_binary64_116`
48×	`distribute-lft-out--_binary64_30`
39×	`add-cbrt-cube_binary64_114` `distribute-lft-out_binary64_29`
30×	`cbrt-div_binary64_110`
27×	`cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `prod-exp_binary64_127` `div-exp_binary64_129`
22×	`associate-/r/_binary64_24`
15×	`flip-+_binary64_52` `flip3-+_binary64_81`
13×	`associate-l_binary64_19`
12×	`unswap-sqr_binary64_46`
8×	`div-inv_binary64_75`
6×	`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` `flip3--_binary64_82` `flip--_binary64_53` `pow-prod-down_binary64_149`

Counts

4 → 403

Calls

4 calls:

134.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (*.f64 (cbrt.f64 (+.f64 t1 u)) (cbrt.f64 (+.f64 t1 u)))) (/.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1))))
3.0ms	(cbrt.f64 (+.f64 t1 u))
3.0ms	(cbrt.f64 (+.f64 t1 u))
3.0ms	(cbrt.f64 (+.f64 t1 u))

series424.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

125.0ms	(cbrt.f64 (+.f64 t1 u))
112.0ms	(cbrt.f64 (+.f64 t1 u))
111.0ms	(cbrt.f64 (+.f64 t1 u))
76.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (*.f64 (cbrt.f64 (+.f64 t1 u)) (cbrt.f64 (+.f64 t1 u)))) (/.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1))))

simplify171.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

415 → 415

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4991	17672
1	4991	17672

prune546.0ms (8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	415	0	415
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	415	6	421

Merged error: 0.2b

Counts

421 → 6

Compiler

Compiled 17576 to 4026 computations (77.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.3b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
21.3b	(cbrt.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))
21.3b	(cbrt.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))
21.3b	(cbrt.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))

rewrite172.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

805×	`times-frac_binary64_84`
645×	`add-sqr-sqrt_binary64_100`
576×	`*-un-lft-identity_binary64_78`
342×	`cbrt-prod_binary64_109`
280×	`add-cube-cbrt_binary64_113`
146×	`difference-of-squares_binary64_47`
75×	`distribute-lft-out_binary64_29`
73×	`distribute-lft-out--_binary64_30`
58×	`associate-/r/_binary64_24`
29×	`div-inv_binary64_75`
25×	`flip-+_binary64_52` `flip3-+_binary64_81`
18×	`associate-/l*_binary64_23`
9×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
6×	`associate-/r*_binary64_22`
4×	`add-log-exp_binary64_117` `flip3--_binary64_82` `flip--_binary64_53` `pow1_binary64_139`
3×	`cbrt-div_binary64_110` `cbrt-undiv_binary64_112` `div-exp_binary64_129` `pow1/3_binary64_160`
1×	`frac-2neg_binary64_89` `clear-num_binary64_77` `associate-/l/_binary64_25`

Counts

4 → 518

Calls

4 calls:

21.0ms	(cbrt.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))
18.0ms	(cbrt.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))
17.0ms	(cbrt.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))
16.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

series767.0ms (11.2%)

Counts

4 → 12

Calls

4 calls:

244.0ms	(cbrt.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))
240.0ms	(cbrt.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))
227.0ms	(cbrt.f64 (/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))
55.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

simplify211.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

530 → 530

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5344	20744

prune1.3s (19.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	530	0	530
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	530	6	536

Merged error: 0.2b

Counts

536 → 6

Compiler

Compiled 28043 to 10637 computations (62.1% saved)

localize15.0ms (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)))
2.7b	(*.f64 v (/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))

rewrite107.0ms (1.6%)

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:

41.0ms	(*.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)))
5.0ms	(/.f64 1 (+.f64 t1 u))

series125.0ms (1.8%)

Counts

3 → 9

Calls

3 calls:

62.0ms	(*.f64 v (/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1))))
43.0ms	(/.f64 (/.f64 1 (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
19.0ms	(/.f64 1 (+.f64 t1 u))

simplify109.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4984	8292
1	4984	8292

prune406.0ms (5.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	336	0	336
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	336	6	342

Merged error: 0.2b

Counts

342 → 6

Compiler

Compiled 8181 to 3964 computations (51.5% saved)

regimes252.0ms (3.7%)

Compiler: Compiled 3383 to 2186 computations (35.4% 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%)

sample1.0s (15.4%)

Algorithm

1×

intervals

Results

266.0ms	8000×	body	128	valid
11.0ms	260×	body	128	invalid

Compiler

Compiled 853 to 552 computations (35.3% saved)

Details

analyze246.0ms (3.6%)

sample19.0ms (0.3%)

simplify235.0ms (3.4%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite45.0ms (0.7%)

series85.0ms (1.2%)

simplify84.0ms (1.2%)

prune188.0ms (2.8%)

localize15.0ms (0.2%)

rewrite221.0ms (3.2%)

series424.0ms (6.2%)

simplify171.0ms (2.5%)

prune546.0ms (8%)

localize11.0ms (0.2%)

rewrite172.0ms (2.5%)

series767.0ms (11.2%)

simplify211.0ms (3.1%)

prune1.3s (19.2%)

localize15.0ms (0.2%)

rewrite107.0ms (1.6%)

series125.0ms (1.8%)

simplify109.0ms (1.6%)

prune406.0ms (5.9%)

regimes252.0ms (3.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.0s (15.4%)

Profiling