Details

analyze241.0ms (5.8%)

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 (0.4%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify243.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (152.0ms)

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

Merged error: 0.8b

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))
1.9b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite46.0ms (1.1%)

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))

series88.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

61.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
27.0ms	(/.f64 v (+.f64 t1 u))

simplify90.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5011	5524

prune177.0ms (4.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	183	5	188
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	183	7	190

Merged error: 0.5b

Counts

190 → 7

Compiler

Compiled 4358 to 1495 computations (65.7% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
0.3b	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
1.6b	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))

rewrite50.0ms (1.2%)

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:

23.0ms	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))
8.0ms	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
5.0ms	(/.f64 v (+.f64 t1 u))

series115.0ms (2.7%)

Counts

3 → 9

Calls

3 calls:

64.0ms	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))
28.0ms	(/.f64 v (+.f64 t1 u))
23.0ms	(/.f64 1 (-.f64 -1 (/.f64 u t1)))

simplify81.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5635	2687

prune134.0ms (3.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	1	4	5
Picked	0	1	1
Done	1	0	1
Total	161	6	167

Merged error: 0.5b

Counts

167 → 6

Compiler

Compiled 3137 to 1379 computations (56% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.5b	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 t1 u))
3.4b	(/.f64 v (-.f64 -1 (/.f64 u t1)))

rewrite44.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

223×	`times-frac_binary64_84`
183×	`add-sqr-sqrt_binary64_100`
176×	`*-un-lft-identity_binary64_78`
88×	`add-cube-cbrt_binary64_113`
38×	`difference-of-squares_binary64_47`
27×	`associate-/l*_binary64_23`
25×	`distribute-lft-out_binary64_29`
19×	`distribute-lft-out--_binary64_30`
14×	`associate-/r/_binary64_24`
10×	`associate-/r*_binary64_22`
9×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
7×	`div-inv_binary64_75`
6×	`flip3--_binary64_82` `flip--_binary64_53`
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×	`flip-+_binary64_52` `associate-/l/_binary64_25` `flip3-+_binary64_81`

Counts

2 → 182

Calls

2 calls:

16.0ms	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 t1 u))
8.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))

series94.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

64.0ms	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 t1 u))
30.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))

simplify99.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5843	5422

prune168.0ms (4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	188	6	194

Merged error: 0.5b

Counts

194 → 6

Compiler

Compiled 4328 to 1744 computations (59.7% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
0.7b	(/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u))))
2.0b	(/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u)))

rewrite166.0ms (4%)

Algorithm

1×	rewrite-expression-head

Rules

1354×	`times-frac_binary64_84`
924×	`add-sqr-sqrt_binary64_100`
845×	`*-un-lft-identity_binary64_78`
469×	`add-cube-cbrt_binary64_113`
182×	`difference-of-squares_binary64_47`
135×	`associate-/r*_binary64_22`
97×	`distribute-lft-out_binary64_29`
91×	`distribute-lft-out--_binary64_30`
70×	`associate-/r/_binary64_24`
38×	`div-inv_binary64_75`
32×	`flip-+_binary64_52` `flip3-+_binary64_81`
31×	`add-exp-log_binary64_116`
19×	`add-cbrt-cube_binary64_114` `div-exp_binary64_129`
12×	`associate-/l*_binary64_23`
10×	`cbrt-undiv_binary64_112`
4×	`pow1_binary64_139`
3×	`add-log-exp_binary64_117` `frac-2neg_binary64_89` `1-exp_binary64_122` `rec-exp_binary64_128` `clear-num_binary64_77`
2×	`associate-/l/_binary64_25`
1×	`inv-pow_binary64_163` `flip3--_binary64_82` `pow-flip_binary64_152` `flip--_binary64_53` `div-sub_binary64_83`

Counts

3 → 663

Calls

3 calls:

37.0ms	(/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u))))
17.0ms	(/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u)))
5.0ms	(/.f64 v (+.f64 t1 u))

series169.0ms (4%)

Counts

3 → 9

Calls

3 calls:

111.0ms	(/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u))))
32.0ms	(/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u)))
26.0ms	(/.f64 v (+.f64 t1 u))

simplify213.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

672 → 672

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5132	23690

prune873.0ms (20.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	672	0	672
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	672	6	678

Merged error: 0.5b

Counts

678 → 6

Compiler

Compiled 18290 to 7211 computations (60.6% saved)

regimes179.0ms (4.3%)

Compiler: Compiled 2171 to 1434 computations (33.9% 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%)

sample845.0ms (20.2%)

Algorithm

1×

intervals

Results

258.0ms	8000×	body	128	valid
10.0ms	242×	body	128	invalid

Compiler

Compiled 550 to 364 computations (33.8% saved)

Details

analyze241.0ms (5.8%)

sample18.0ms (0.4%)

simplify243.0ms (5.8%)

prune5.0ms (0.1%)

localize8.0ms (0.2%)

rewrite46.0ms (1.1%)

series88.0ms (2.1%)

simplify90.0ms (2.2%)

prune177.0ms (4.3%)

localize8.0ms (0.2%)

rewrite50.0ms (1.2%)

series115.0ms (2.7%)

simplify81.0ms (1.9%)

prune134.0ms (3.2%)

localize9.0ms (0.2%)

rewrite44.0ms (1%)

series94.0ms (2.3%)

simplify99.0ms (2.4%)

prune168.0ms (4%)

localize9.0ms (0.2%)

rewrite166.0ms (4%)

series169.0ms (4%)

simplify213.0ms (5.1%)

prune873.0ms (20.9%)

regimes179.0ms (4.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample845.0ms (20.2%)

Profiling