Details

analyze448.0ms (8.6%)

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)

sample21.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify159.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (152.0ms)

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

Merged error: 0.3b

Counts

2 → 2

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite46.0ms (0.9%)

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:

19.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
5.0ms	(/.f64 v (+.f64 t1 u))

series110.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

80.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
29.0ms	(/.f64 v (+.f64 t1 u))

simplify93.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5011	5524

prune191.0ms (3.7%)

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 4343 to 1486 computations (65.8% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
0.4b	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
1.2b	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))

rewrite54.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

93×	`add-sqr-sqrt_binary64_100`
74×	`times-frac_binary64_84`
71×	`*-un-lft-identity_binary64_78`
41×	`add-cube-cbrt_binary64_113`
31×	`add-exp-log_binary64_116`
24×	`associate-r_binary64_18`
19×	`add-cbrt-cube_binary64_114`
18×	`associate-l_binary64_19`
14×	`difference-of-squares_binary64_47`
11×	`div-exp_binary64_129`
10×	`associate-/r*_binary64_22`
8×	`prod-exp_binary64_127` `associate-/r/_binary64_24`
7×	`distribute-lft-out--_binary64_30` `distribute-lft-out_binary64_29`
6×	`cbrt-undiv_binary64_112` `associate-/l*_binary64_23` `unswap-sqr_binary64_46` `pow1_binary64_139`
4×	`cbrt-unprod_binary64_111` `div-inv_binary64_75`
3×	`add-log-exp_binary64_117` `1-exp_binary64_122` `rec-exp_binary64_128`
2×	`flip-+_binary64_52` `flip3--_binary64_82` `frac-2neg_binary64_89` `flip--_binary64_53` `clear-num_binary64_77` `flip3-+_binary64_81`
1×	`-commutative_binary64_9` `inv-pow_binary64_163` `un-div-inv_binary64_76` `frac-times_binary64_88` `pow-flip_binary64_152` `associate-l/_binary64_21` `pow-prod-down_binary64_149` `associate-*r/_binary64_20`

Counts

3 → 151

Calls

3 calls:

26.0ms	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))
9.0ms	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
5.0ms	(/.f64 v (+.f64 t1 u))

series114.0ms (2.2%)

Counts

3 → 9

Calls

3 calls:

63.0ms	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))
27.0ms	(/.f64 v (+.f64 t1 u))
24.0ms	(/.f64 1 (-.f64 -1 (/.f64 u t1)))

simplify86.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5635	2687

prune138.0ms (2.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	160	6	166

Merged error: 0.2b

Counts

166 → 6

Compiler

Compiled 3125 to 1373 computations (56.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 t1 u) v)
0.5b	(/.f64 1 (/.f64 (+.f64 t1 u) v))
1.5b	(/.f64 (/.f64 1 (/.f64 (+.f64 t1 u) v)) (-.f64 -1 (/.f64 u t1)))

rewrite126.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

1068×	`times-frac_binary64_84`
672×	`add-sqr-sqrt_binary64_100`
668×	`*-un-lft-identity_binary64_78`
402×	`add-cube-cbrt_binary64_113`
108×	`difference-of-squares_binary64_47`
79×	`distribute-lft-out_binary64_29`
60×	`associate-/l*_binary64_23`
54×	`distribute-lft-out--_binary64_30`
35×	`div-inv_binary64_75` `add-exp-log_binary64_116`
25×	`associate-/r*_binary64_22`
22×	`div-exp_binary64_129`
19×	`add-cbrt-cube_binary64_114`
10×	`cbrt-undiv_binary64_112` `associate-/r/_binary64_24`
4×	`1-exp_binary64_122` `rec-exp_binary64_128` `pow1_binary64_139`
3×	`add-log-exp_binary64_117` `frac-2neg_binary64_89` `clear-num_binary64_77` `associate-/l/_binary64_25`
1×	`inv-pow_binary64_163` `flip-+_binary64_52` `flip3--_binary64_82` `pow-flip_binary64_152` `flip--_binary64_53` `flip3-+_binary64_81`

Counts

3 → 521

Calls

3 calls:

29.0ms	(/.f64 (/.f64 1 (/.f64 (+.f64 t1 u) v)) (-.f64 -1 (/.f64 u t1)))
8.0ms	(/.f64 1 (/.f64 (+.f64 t1 u) v))
6.0ms	(/.f64 (+.f64 t1 u) v)

series196.0ms (3.8%)

Counts

3 → 9

Calls

3 calls:

114.0ms	(/.f64 (/.f64 1 (/.f64 (+.f64 t1 u) v)) (-.f64 -1 (/.f64 u t1)))
62.0ms	(/.f64 1 (/.f64 (+.f64 t1 u) v))
20.0ms	(/.f64 (+.f64 t1 u) v)

simplify204.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

530 → 530

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5074	17556

prune613.0ms (11.8%)

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 13521 to 5231 computations (61.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 t1 u))
0.5b	(cbrt.f64 (+.f64 t1 u))
0.5b	(*.f64 (cbrt.f64 (+.f64 t1 u)) (cbrt.f64 (+.f64 t1 u)))
1.8b	(/.f64 (/.f64 v (cbrt.f64 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))

rewrite84.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

337×	`times-frac_binary64_84`
288×	`add-sqr-sqrt_binary64_100`
256×	`*-un-lft-identity_binary64_78`
140×	`add-cube-cbrt_binary64_113`
116×	`cbrt-prod_binary64_109`
56×	`difference-of-squares_binary64_47`
30×	`cbrt-div_binary64_110`
29×	`distribute-lft-out_binary64_29`
28×	`distribute-lft-out--_binary64_30`
27×	`associate-/l*_binary64_23`
16×	`associate-/r/_binary64_24`
15×	`flip-+_binary64_52` `flip3-+_binary64_81`
11×	`add-exp-log_binary64_116` `pow1_binary64_139`
9×	`swap-sqr_binary64_45`
8×	`add-cbrt-cube_binary64_114` `pow1/3_binary64_160` `div-inv_binary64_75`
7×	`associate-l_binary64_19` `associate-r_binary64_18`
6×	`associate-/r*_binary64_22`
4×	`add-log-exp_binary64_117` `frac-times_binary64_88` `unswap-sqr_binary64_46`
3×	`cbrt-undiv_binary64_112` `div-exp_binary64_129`
2×	`pow-sqr_binary64_51` `pow-prod-up_binary64_148` `associate-l/_binary64_21` `pow-prod-down_binary64_149` `associate-r/_binary64_20`
1×	`pow2_binary64_159` `*-commutative_binary64_9` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `flip3--_binary64_82` `frac-2neg_binary64_89` `flip--_binary64_53` `clear-num_binary64_77` `pow-plus_binary64_141` `associate-/l/_binary64_25`

Counts

4 → 293

Calls

4 calls:

23.0ms	(/.f64 (/.f64 v (cbrt.f64 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))
12.0ms	(*.f64 (cbrt.f64 (+.f64 t1 u)) (cbrt.f64 (+.f64 t1 u)))
3.0ms	(cbrt.f64 (+.f64 t1 u))
3.0ms	(cbrt.f64 (+.f64 t1 u))

series540.0ms (10.4%)

Counts

4 → 12

Calls

4 calls:

155.0ms	(*.f64 (cbrt.f64 (+.f64 t1 u)) (cbrt.f64 (+.f64 t1 u)))
154.0ms	(/.f64 (/.f64 v (cbrt.f64 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))
124.0ms	(cbrt.f64 (+.f64 t1 u))
107.0ms	(cbrt.f64 (+.f64 t1 u))

simplify152.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

305 → 305

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4941	9844
1	4941	9844

prune420.0ms (8.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	305	0	305
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	305	6	311

Merged error: 0.2b

Counts

311 → 6

Compiler

Compiled 11134 to 3541 computations (68.2% saved)

regimes273.0ms (5.3%)

Compiler: Compiled 3331 to 2158 computations (35.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16

end0.0ms (0%)

sample1.1s (20.6%)

Algorithm

1×

intervals

Results

262.0ms	8000×	body	128	valid
8.0ms	239×	body	128	invalid

Compiler

Compiled 840 to 545 computations (35.1% saved)

Details

analyze448.0ms (8.6%)

sample21.0ms (0.4%)

simplify159.0ms (3.1%)

prune7.0ms (0.1%)

localize9.0ms (0.2%)

rewrite46.0ms (0.9%)

series110.0ms (2.1%)

simplify93.0ms (1.8%)

prune191.0ms (3.7%)

localize9.0ms (0.2%)

rewrite54.0ms (1%)

series114.0ms (2.2%)

simplify86.0ms (1.7%)

prune138.0ms (2.7%)

localize9.0ms (0.2%)

rewrite126.0ms (2.4%)

series196.0ms (3.8%)

simplify204.0ms (3.9%)

prune613.0ms (11.8%)

localize13.0ms (0.2%)

rewrite84.0ms (1.6%)

series540.0ms (10.4%)

simplify152.0ms (2.9%)

prune420.0ms (8.1%)

regimes273.0ms (5.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (20.6%)

Profiling