Details

analyze434.0ms (5.8%)

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

Symmetry

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample21.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify158.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (152.0ms)

Iter	Nodes	Cost
0	4942	16
1	4942	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

Error

0.6b

Counts

2 → 2

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
1.4b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite239.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `div-inv_binary64_75`
8×	`flip3-+_binary64_81` `flip-+_binary64_52`
4×	`div-exp_binary64_129` `cbrt-undiv_binary64_112`
2×	`pow1_binary64_139` `add-log-exp_binary64_117` `frac-2neg_binary64_89` `clear-num_binary64_77`
1×	`associate-/l/_binary64_25` `flip3--_binary64_82` `flip--_binary64_53`

Counts

2 → 182

Calls

2 calls:

18.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
5.0ms	(/.f64 v (+.f64 t1 u))

Compiler

Compiled 4505 to 1593 computations (64.6% saved)

series267.0ms (3.6%)

Error

0.0b

Counts

2 → 27

Calls

2 calls:

164.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
86.0ms	(/.f64 v (+.f64 t1 u))

Compiler

Compiled 996 to 704 computations (29.3% saved)

simplify93.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4978	5822
1	4978	5822

prune192.0ms (2.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	205	4	209
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	206	5	211

Error

0.0b

Counts

211 → 5

Compiler

Compiled 4607 to 1558 computations (66.2% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 t1 u))
0.2b	(*.f64 v (/.f64 1 (+.f64 t1 u)))
1.4b	(/.f64 (*.f64 v (/.f64 1 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))

rewrite138.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

42×	`*-un-lft-identity_binary64_78`
40×	`add-sqr-sqrt_binary64_100`
34×	`times-frac_binary64_84`
31×	`add-exp-log_binary64_116`
23×	`add-cube-cbrt_binary64_113`
19×	`add-cbrt-cube_binary64_114`
18×	`associate-r_binary64_18`
11×	`div-exp_binary64_129`
10×	`associate-/r*_binary64_22`
8×	`prod-exp_binary64_127`
7×	`distribute-lft-out_binary64_29`
6×	`pow1_binary64_139` `cbrt-undiv_binary64_112` `associate-/r/_binary64_24`
4×	`cbrt-unprod_binary64_111` `difference-of-squares_binary64_47` `associate-/l*_binary64_23`
3×	`1-exp_binary64_122` `rec-exp_binary64_128` `add-log-exp_binary64_117` `div-inv_binary64_75` `unswap-sqr_binary64_46` `associate-l_binary64_19`
2×	`frac-2neg_binary64_89` `distribute-lft-out--_binary64_30` `clear-num_binary64_77` `un-div-inv_binary64_76` `associate-/l/_binary64_25` `associate-*r/_binary64_20` `flip3-+_binary64_81` `flip-+_binary64_52`
1×	`flip3--_binary64_82` `flip--_binary64_53` `pow-prod-down_binary64_149` `*-commutative_binary64_9` `inv-pow_binary64_163` `pow-flip_binary64_152`

Counts

3 → 113

Calls

3 calls:

15.0ms	(/.f64 (*.f64 v (/.f64 1 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))
11.0ms	(*.f64 v (/.f64 1 (+.f64 t1 u)))
5.0ms	(/.f64 1 (+.f64 t1 u))

Compiler

Compiled 2355 to 1187 computations (49.6% saved)

series312.0ms (4.2%)

Error

0.0b

Counts

3 → 45

Calls

3 calls:

145.0ms	(/.f64 (*.f64 v (/.f64 1 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))
75.0ms	(*.f64 v (/.f64 1 (+.f64 t1 u)))
59.0ms	(/.f64 1 (+.f64 t1 u))

Compiler

Compiled 1755 to 1256 computations (28.4% saved)

simplify81.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5739	2107

prune114.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	158	5	163

Error

0.0b

Counts

163 → 5

Compiler

Compiled 2678 to 1165 computations (56.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.8b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1))))) (/.f64 (/.f64 v (+.f64 t1 u)) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
7.4b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
7.4b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
7.4b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

rewrite858.0ms (11.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

322×	`times-frac_binary64_84`
266×	`add-sqr-sqrt_binary64_100`
219×	`*-un-lft-identity_binary64_78`
168×	`associate-r_binary64_18`
132×	`cbrt-prod_binary64_109`
118×	`add-cube-cbrt_binary64_113`
82×	`add-exp-log_binary64_116`
42×	`difference-of-squares_binary64_47`
33×	`div-exp_binary64_129`
30×	`prod-exp_binary64_127`
28×	`add-cbrt-cube_binary64_114` `associate-/r/_binary64_24`
27×	`distribute-lft-out_binary64_29`
21×	`distribute-lft-out--_binary64_30`
20×	`cbrt-div_binary64_110`
15×	`cbrt-undiv_binary64_112` `unswap-sqr_binary64_46` `associate-l_binary64_19`
12×	`cbrt-unprod_binary64_111`
11×	`div-inv_binary64_75`
10×	`flip3--_binary64_82` `flip--_binary64_53`
9×	`flip3-+_binary64_81` `flip-+_binary64_52`
6×	`pow1_binary64_139` `1-exp_binary64_122` `rec-exp_binary64_128`
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×	`pow-prod-down_binary64_149` `*-commutative_binary64_9`

Counts

4 → 288

Calls

4 calls:

103.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1))))) (/.f64 (/.f64 v (+.f64 t1 u)) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
9.0ms	(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)))

Compiler

Compiled 12831 to 6431 computations (49.9% saved)

series1.1s (15.1%)

Error

0.0b

Counts

4 → 63

Calls

4 calls:

444.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 -1 (/.f64 u t1))) (cbrt.f64 (-.f64 -1 (/.f64 u t1))))) (/.f64 (/.f64 v (+.f64 t1 u)) (cbrt.f64 (-.f64 -1 (/.f64 u t1)))))
198.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
191.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
181.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

Compiler

Compiled 6219 to 4622 computations (25.7% saved)

simplify125.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

351 → 351

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5195	12985

prune768.0ms (10.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	351	0	351
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	351	5	356

Error

0.0b

Counts

356 → 5

Compiler

Compiled 13555 to 6575 computations (51.5% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 u (+.f64 (/.f64 u t1) 2))
2.6b	(/.f64 (neg.f64 v) (+.f64 t1 (*.f64 u (+.f64 (/.f64 u t1) 2))))

rewrite96.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`times-frac_binary64_84`
29×	`add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
27×	`add-cube-cbrt_binary64_113`
12×	`distribute-rgt-neg-in_binary64_36` `distribute-lft-neg-in_binary64_35`
10×	`associate-/l*_binary64_23`
6×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
4×	`pow1_binary64_139` `neg-mul-1_binary64_74` `associate-r_binary64_18`
3×	`associate-/r_binary64_22` `associate-l*_binary64_19`
2×	`add-log-exp_binary64_117` `flip3-+_binary64_81` `associate-/r/_binary64_24` `flip-+_binary64_52` `associate-*r/_binary64_20`
1×	`div-exp_binary64_129` `cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `neg-sub0_binary64_73` `div-sub_binary64_83` `clear-num_binary64_77` `div-inv_binary64_75` `distribute-frac-neg_binary64_41` `pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `distribute-lft-out_binary64_29` `*-commutative_binary64_9`

Counts

2 → 82

Calls

2 calls:

12.0ms	(*.f64 u (+.f64 (/.f64 u t1) 2))
6.0ms	(/.f64 (neg.f64 v) (+.f64 t1 (*.f64 u (+.f64 (/.f64 u t1) 2))))

Compiler

Compiled 1909 to 927 computations (51.4% saved)

series268.0ms (3.6%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

166.0ms	(/.f64 (neg.f64 v) (+.f64 t1 (*.f64 u (+.f64 (/.f64 u t1) 2))))
88.0ms	(*.f64 u (+.f64 (/.f64 u t1) 2))

Compiler

Compiled 789 to 610 computations (22.7% saved)

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5245	2373

prune86.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	106	5	111

Error

0.0b

Counts

111 → 5

Compiler

Compiled 2023 to 930 computations (54% saved)

regimes419.0ms (5.6%)

Accuracy

Total 1.4b remaining (86.1%)

Threshold costs 0b (0%)

Compiler

Compiled 5498 to 3638 computations (33.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	52
1	36	52

Removed

()

end0.0ms (0%)

sample1.5s (20.5%)

Algorithm

1×

intervals

Results

257.0ms	8000×	body	128	valid
6.0ms	206×	body	128	invalid

Compiler

Compiled 1413 to 934 computations (33.9% saved)

Details

analyze434.0ms (5.8%)

sample21.0ms (0.3%)

simplify158.0ms (2.1%)

prune6.0ms (0.1%)

localize9.0ms (0.1%)

rewrite239.0ms (3.2%)

series267.0ms (3.6%)

simplify93.0ms (1.3%)

prune192.0ms (2.6%)

localize9.0ms (0.1%)

rewrite138.0ms (1.9%)

series312.0ms (4.2%)

simplify81.0ms (1.1%)

prune114.0ms (1.5%)

localize12.0ms (0.2%)

rewrite858.0ms (11.6%)

series1.1s (15.1%)

simplify125.0ms (1.7%)

prune768.0ms (10.3%)

localize8.0ms (0.1%)

rewrite96.0ms (1.3%)

series268.0ms (3.6%)

simplify62.0ms (0.8%)

prune86.0ms (1.2%)

regimes419.0ms (5.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.5s (20.5%)

Profiling