Details

analyze357.0ms (5.4%)

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)

sample17.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	10×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify270.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (158.0ms)

Iter	Nodes	Cost
0	4942	16
1	4942	16

prune8.0ms (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

Error

0.3b

Counts

2 → 2

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite59.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

211×	`times-frac_binary64_84`
171×	`add-sqr-sqrt_binary64_100`
156×	`*-un-lft-identity_binary64_78`
76×	`add-cube-cbrt_binary64_113`
38×	`difference-of-squares_binary64_47`
21×	`distribute-lft-out_binary64_29`
19×	`distribute-lft-out--_binary64_30`
18×	`associate-/l*_binary64_23`
16×	`associate-/r/_binary64_24`
8×	`div-inv_binary64_75`
7×	`flip-+_binary64_52` `flip3-+_binary64_81`
6×	`add-cbrt-cube_binary64_114` `associate-/r*_binary64_22` `add-exp-log_binary64_116`
3×	`cbrt-undiv_binary64_112` `div-exp_binary64_129`
1×	`add-log-exp_binary64_117` `flip3--_binary64_82` `frac-2neg_binary64_89` `flip--_binary64_53` `clear-num_binary64_77` `associate-/l/_binary64_25` `pow1_binary64_139`

Counts

1 → 149

Calls

2 calls:

30.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
0.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

series216.0ms (3.3%)

Counts

1 → 21

Calls

1 calls:

216.0ms

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

Compiler

Compiled 521 to 437 computations (16.1% saved)

simplify128.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5113	5667

prune221.0ms (3.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	165	5	170
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	165	7	172

Error

0.2b

Counts

172 → 7

Compiler

Compiled 4172 to 1484 computations (64.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))
0.4b	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
0.4b	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
0.6b	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))

rewrite43.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 118

Calls

4 calls:

24.0ms	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))
8.0ms	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
0.0ms	(/.f64 1 (-.f64 -1 (/.f64 u t1)))
0.0ms	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))

series347.0ms (5.2%)

Counts

2 → 39

Calls

2 calls:

253.0ms	(*.f64 (/.f64 v (+.f64 t1 u)) (/.f64 1 (-.f64 -1 (/.f64 u t1))))
94.0ms	(/.f64 1 (-.f64 -1 (/.f64 u t1)))

Compiler

Compiled 890 to 728 computations (18.2% saved)

simplify80.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4964	3076
1	4964	3076

prune151.0ms (2.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	156	1	157
Fresh	1	4	5
Picked	0	1	1
Done	1	0	1
Total	158	6	164

Error

0.2b

Counts

164 → 6

Compiler

Compiled 3140 to 1377 computations (56.1% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite61.0ms (0.9%)

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

4 calls:

22.0ms	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 t1 u))
8.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))
0.0ms	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 t1 u))
0.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))

series393.0ms (5.9%)

Counts

2 → 42

Calls

2 calls:

229.0ms	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 t1 u))
164.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))

Compiler

Compiled 1010 to 809 computations (19.9% saved)

simplify109.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4968	6376
1	4968	6376

prune236.0ms (3.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	223	1	224
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	224	6	230

Error

0.2b

Counts

230 → 6

Compiler

Compiled 5058 to 1979 computations (60.9% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

18.7b	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
0.0b	(*.f64 (+.f64 t1 u) (+.f64 t1 u))
0.0b	(*.f64 (+.f64 t1 u) (+.f64 t1 u))
18.7b	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))

rewrite31.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_78`
16×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
12×	`flip-+_binary64_52` `flip3-+_binary64_81`
9×	`pow1_binary64_139`
8×	`add-sqr-sqrt_binary64_100` `frac-times_binary64_88` `associate-/r/_binary64_24`
6×	`add-cube-cbrt_binary64_113` `swap-sqr_binary64_45` `distribute-lft-out_binary64_29`
5×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127`
4×	`associate-l_binary64_19` `cbrt-undiv_binary64_112` `div-exp_binary64_129` `associate-r_binary64_18` `associate-l/_binary64_21` `associate-r/_binary64_20`
2×	`add-log-exp_binary64_117`
1×	`pow2_binary64_159` `distribute-lft-in_binary64_27` `-commutative_binary64_9` `pow-sqr_binary64_51` `distribute-rgt-in_binary64_28` `frac-2neg_binary64_89` `times-frac_binary64_84` `div-inv_binary64_75` `distribute-lft-neg-out_binary64_37` `associate-/l_binary64_23` `pow-prod-up_binary64_148` `associate-/r*_binary64_22` `pow-prod-down_binary64_149` `unswap-sqr_binary64_46` `distribute-frac-neg_binary64_41` `clear-num_binary64_77` `pow-plus_binary64_141`

Counts

2 → 70

Calls

4 calls:

11.0ms	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
9.0ms	(*.f64 (+.f64 t1 u) (+.f64 t1 u))
0.0ms	(*.f64 (+.f64 t1 u) (+.f64 t1 u))
0.0ms	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))

series383.0ms (5.8%)

Counts

2 → 39

Calls

2 calls:

273.0ms	(/.f64 (.f64 (neg.f64 t1) v) (.f64 (+.f64 t1 u) (+.f64 t1 u)))
110.0ms	(*.f64 (+.f64 t1 u) (+.f64 t1 u))

Compiler

Compiled 881 to 747 computations (15.2% saved)

simplify72.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4959	1807
1	4959	1807

prune85.0ms (1.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	108	7	115

Error

Counts

115 → 7

Compiler

Compiled 1802 to 609 computations (66.2% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	299	942
1	299	942

regimes218.0ms (3.3%)

Accuracy

Total 1.2b remaining (99.7%)

Threshold costs 0b (0%)

Compiler

Compiled 1854 to 1266 computations (31.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	18
1	48	18

end0.0ms (0%)

sample3.1s (46.6%)

Algorithm

1×

intervals

Results

367.0ms	8000×	body	128	valid
12.0ms	260×	body	128	invalid

Compiler

Compiled 1861 to 1260 computations (32.3% saved)

Pareto

-0.025696118802228888

Details

analyze357.0ms (5.4%)

sample17.0ms (0.3%)

simplify270.0ms (4.1%)

prune8.0ms (0.1%)

localize14.0ms (0.2%)

rewrite59.0ms (0.9%)

series216.0ms (3.3%)

simplify128.0ms (1.9%)

prune221.0ms (3.3%)

localize9.0ms (0.1%)

rewrite43.0ms (0.6%)

series347.0ms (5.2%)

simplify80.0ms (1.2%)

prune151.0ms (2.3%)

localize7.0ms (0.1%)

rewrite61.0ms (0.9%)

series393.0ms (5.9%)

simplify109.0ms (1.6%)

prune236.0ms (3.6%)

localize7.0ms (0.1%)

rewrite31.0ms (0.5%)

series383.0ms (5.8%)

simplify72.0ms (1.1%)

prune85.0ms (1.3%)

simplify15.0ms (0.2%)

regimes218.0ms (3.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample3.1s (46.6%)

Profiling