Details

analyze253.0ms (5.6%)

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 (0.4%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify226.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4906	16
1	4906	16

prune6.0ms (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: 0.6b

Counts

2 → 2

Compiler

Compiled 57 to 43 computations (24.6% 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)))

rewrite51.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

223×	`times-frac_binary64_85`
181×	`add-sqr-sqrt_binary64_101`
174×	`*-un-lft-identity_binary64_79`
86×	`add-cube-cbrt_binary64_114`
38×	`difference-of-squares_binary64_48`
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_117` `add-cbrt-cube_binary64_115` `div-inv_binary64_76`
8×	`flip-+_binary64_53` `flip3-+_binary64_82`
4×	`cbrt-undiv_binary64_113` `div-exp_binary64_130`
2×	`add-log-exp_binary64_118` `clear-num_binary64_78` `frac-2neg_binary64_90` `pow1_binary64_140`
1×	`flip--_binary64_54` `flip3--_binary64_83` `associate-/l/_binary64_26`

Counts

2 → 182

Calls

2 calls:

20.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
5.0ms	(/.f64 v (+.f64 t1 u))

series186.0ms (4.1%)

Counts

2 → 6

Calls

2 calls:

130.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
55.0ms	(/.f64 v (+.f64 t1 u))

simplify99.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5405	5524

prune490.0ms (10.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	180	8	188
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	180	10	190

Merged error: 0b

Counts

190 → 10

Compiler

Compiled 10729 to 5424 computations (49.4% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 v)
8.1b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
8.1b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
8.1b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

rewrite33.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_101`
21×	`cbrt-prod_binary64_110`
14×	`*-un-lft-identity_binary64_79`
8×	`add-cube-cbrt_binary64_114`
6×	`cbrt-div_binary64_111` `difference-of-squares_binary64_48`
4×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115` `add-log-exp_binary64_118` `pow1/3_binary64_161` `pow1_binary64_140`
3×	`times-frac_binary64_85` `distribute-lft-out--_binary64_31` `flip--_binary64_54` `flip3--_binary64_83`

Counts

4 → 59

Calls

4 calls:

10.0ms	(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)))
1.0ms	(cbrt.f64 v)

series1.1s (25.1%)

Counts

4 → 12

Calls

4 calls:

327.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
322.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
321.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
153.0ms	(cbrt.f64 v)

simplify133.0ms (3%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	4783	971
1	4783	971

prune111.0ms (2.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	71	10	81

Merged error: 0b

Counts

81 → 10

Compiler

Compiled 2837 to 1277 computations (55% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
0.5b	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
1.7b	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))

rewrite59.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

93×	`add-sqr-sqrt_binary64_101`
74×	`times-frac_binary64_85`
71×	`*-un-lft-identity_binary64_79`
41×	`add-cube-cbrt_binary64_114`
31×	`add-exp-log_binary64_117`
24×	`associate-r_binary64_19`
19×	`add-cbrt-cube_binary64_115`
18×	`associate-l_binary64_20`
14×	`difference-of-squares_binary64_48`
11×	`div-exp_binary64_130`
10×	`associate-/r*_binary64_23`
8×	`prod-exp_binary64_128` `associate-/r/_binary64_25`
7×	`distribute-lft-out--_binary64_31` `distribute-lft-out_binary64_30`
6×	`cbrt-undiv_binary64_113` `associate-/l*_binary64_24` `unswap-sqr_binary64_47` `pow1_binary64_140`
4×	`div-inv_binary64_76` `cbrt-unprod_binary64_112`
3×	`1-exp_binary64_123` `rec-exp_binary64_129` `add-log-exp_binary64_118`
2×	`flip-+_binary64_53` `flip--_binary64_54` `clear-num_binary64_78` `flip3--_binary64_83` `flip3-+_binary64_82` `frac-2neg_binary64_90`
1×	`un-div-inv_binary64_77` `frac-times_binary64_89` `associate-l/_binary64_22` `associate-r/_binary64_21` `inv-pow_binary64_164` `*-commutative_binary64_10` `pow-prod-down_binary64_150` `pow-flip_binary64_153`

Counts

3 → 151

Calls

3 calls:

28.0ms	(*.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))

series219.0ms (4.9%)

Counts

3 → 9

Calls

3 calls:

122.0ms	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))
52.0ms	(/.f64 v (+.f64 t1 u))
44.0ms	(/.f64 1 (-.f64 -1 (/.f64 u t1)))

simplify80.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5474	2687

prune160.0ms (3.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	158	2	160
Fresh	4	3	7
Picked	0	1	1
Done	0	2	2
Total	162	8	170

Merged error: 0b

Counts

170 → 8

Compiler

Compiled 3427 to 1593 computations (53.5% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.8b	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 t1 u))
2.6b	(/.f64 v (-.f64 -1 (/.f64 u t1)))

rewrite55.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

223×	`times-frac_binary64_85`
183×	`add-sqr-sqrt_binary64_101`
176×	`*-un-lft-identity_binary64_79`
88×	`add-cube-cbrt_binary64_114`
38×	`difference-of-squares_binary64_48`
27×	`associate-/l*_binary64_24`
25×	`distribute-lft-out_binary64_30`
19×	`distribute-lft-out--_binary64_31`
14×	`associate-/r/_binary64_25`
10×	`associate-/r*_binary64_23`
9×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115`
7×	`div-inv_binary64_76`
6×	`flip--_binary64_54` `flip3--_binary64_83`
4×	`cbrt-undiv_binary64_113` `div-exp_binary64_130`
2×	`add-log-exp_binary64_118` `clear-num_binary64_78` `frac-2neg_binary64_90` `pow1_binary64_140`
1×	`flip-+_binary64_53` `associate-/l/_binary64_26` `flip3-+_binary64_82`

Counts

2 → 182

Calls

2 calls:

18.0ms	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 t1 u))
9.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))

series171.0ms (3.8%)

Counts

2 → 6

Calls

2 calls:

115.0ms	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 t1 u))
56.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))

simplify102.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5601	5422

prune186.0ms (4.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	187	1	188
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	188	8	196

Merged error: 0b

Counts

196 → 8

Compiler

Compiled 4389 to 1793 computations (59.1% saved)

regimes70.0ms (1.6%)

Compiler: Compiled 506 to 398 computations (21.3% 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%)

sample608.0ms (13.6%)

Algorithm

1×

intervals

Results

270.0ms	8000×	body	128	valid
9.0ms	272×	body	128	invalid

Compiler

Compiled 143 to 112 computations (21.7% saved)

Details

analyze253.0ms (5.6%)

sample19.0ms (0.4%)

simplify226.0ms (5%)

prune6.0ms (0.1%)

localize8.0ms (0.2%)

rewrite51.0ms (1.1%)

series186.0ms (4.1%)

simplify99.0ms (2.2%)

prune490.0ms (10.9%)

localize16.0ms (0.4%)

rewrite33.0ms (0.7%)

series1.1s (25.1%)

simplify133.0ms (3%)

prune111.0ms (2.5%)

localize9.0ms (0.2%)

rewrite59.0ms (1.3%)

series219.0ms (4.9%)

simplify80.0ms (1.8%)

prune160.0ms (3.6%)

localize8.0ms (0.2%)

rewrite55.0ms (1.2%)

series171.0ms (3.8%)

simplify102.0ms (2.3%)

prune186.0ms (4.1%)

regimes70.0ms (1.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample608.0ms (13.6%)

Profiling