Details

analyze668.0ms (9.2%)

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)

sample41.0ms (0.6%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify362.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (224.0ms)

Iter	Nodes	Cost
0	4942	16
1	4942	16

prune11.0ms (0.2%)

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

0.8b

Counts

2 → 2

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize17.0ms (0.2%)

Local error

Found 1 expressions with local error:

1.3b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite87.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

211×	`times-frac_binary64`
171×	`add-sqr-sqrt_binary64`
156×	`*-un-lft-identity_binary64`
76×	`add-cube-cbrt_binary64`
38×	`difference-of-squares_binary64`
21×	`distribute-lft-out_binary64`
19×	`distribute-lft-out--_binary64`
18×	`associate-/l*_binary64`
16×	`associate-/r/_binary64`
8×	`div-inv_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64`
1×	`associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`

Counts

1 → 149

Calls

1 calls:

47.0ms

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

series76.0ms (1%)

Counts

1 → 3

Calls

1 calls:

76.0ms

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

simplify139.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4977	5093
1	4977	5093

prune235.0ms (3.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	146	6	152
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	146	8	154

Error

0.5b

Counts

154 → 8

Compiler

Compiled 3828 to 1343 computations (64.9% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 v)
9.1b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
9.1b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
9.1b	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))

rewrite36.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
21×	`cbrt-prod_binary64`
14×	`*-un-lft-identity_binary64`
8×	`add-cube-cbrt_binary64`
6×	`cbrt-div_binary64` `difference-of-squares_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3--_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `flip--_binary64`

Counts

4 → 59

Calls

4 calls:

11.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
7.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
6.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
1.0ms	(cbrt.f64 v)

series815.0ms (11.2%)

Counts

4 → 12

Calls

4 calls:

251.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
234.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
232.0ms	(cbrt.f64 (-.f64 -1 (/.f64 u t1)))
98.0ms	(cbrt.f64 v)

simplify121.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4900	971
1	4900	971

prune135.0ms (1.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	71	8	79

Error

0.5b

Counts

79 → 8

Compiler

Compiled 3619 to 1267 computations (65% saved)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.7b	(/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u))))
1.3b	(/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u)))

rewrite229.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

1342×	`times-frac_binary64`
914×	`add-sqr-sqrt_binary64`
827×	`*-un-lft-identity_binary64`
459×	`add-cube-cbrt_binary64`
182×	`difference-of-squares_binary64`
131×	`associate-/r*_binary64`
93×	`distribute-lft-out_binary64`
91×	`distribute-lft-out--_binary64`
68×	`associate-/r/_binary64`
37×	`div-inv_binary64`
31×	`flip3-+_binary64` `flip-+_binary64`
28×	`add-exp-log_binary64`
18×	`div-exp_binary64`
16×	`add-cbrt-cube_binary64`
9×	`cbrt-undiv_binary64` `associate-/l*_binary64`
3×	`pow1_binary64` `1-exp_binary64` `rec-exp_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3--_binary64` `div-sub_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64`

Counts

2 → 630

Calls

2 calls:

43.0ms	(/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u))))
19.0ms	(/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u)))

series222.0ms (3%)

Counts

2 → 6

Calls

2 calls:

165.0ms	(/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u))))
56.0ms	(/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u)))

simplify352.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

636 → 636

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5063	23260

prune1.3s (17.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	635	1	636
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	637	7	644

Error

0.5b

Counts

644 → 7

Compiler

Compiled 17734 to 7030 computations (60.4% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.5b	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 t1 u))
3.1b	(/.f64 v (-.f64 -1 (/.f64 u t1)))

rewrite85.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

223×	`times-frac_binary64`
183×	`add-sqr-sqrt_binary64`
176×	`*-un-lft-identity_binary64`
88×	`add-cube-cbrt_binary64`
38×	`difference-of-squares_binary64`
27×	`associate-/l*_binary64`
25×	`distribute-lft-out_binary64`
19×	`distribute-lft-out--_binary64`
14×	`associate-/r/_binary64`
10×	`associate-/r*_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`div-inv_binary64`
6×	`flip3--_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `associate-/l/_binary64` `flip-+_binary64`

Counts

2 → 182

Calls

2 calls:

36.0ms	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 t1 u))
18.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))

series147.0ms (2%)

Counts

2 → 6

Calls

2 calls:

110.0ms	(/.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (+.f64 t1 u))
37.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))

simplify193.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	5843	5422

prune239.0ms (3.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	188	7	195

Error

0.5b

Counts

195 → 7

Compiler

Compiled 4251 to 1691 computations (60.2% saved)

regimes353.0ms (4.8%)

Accuracy

Total 1.2b remaining (88%)

Threshold costs 0b (0%)

Compiler

Compiled 2851 to 1818 computations (36.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16

end0.0ms (0%)

sample1.4s (18.8%)

Algorithm

1×

intervals

Results

360.0ms	8000×	body	128	valid
12.0ms	270×	body	128	invalid

Compiler

Compiled 720 to 460 computations (36.1% saved)

Details

analyze668.0ms (9.2%)

sample41.0ms (0.6%)

simplify362.0ms (5%)

prune11.0ms (0.2%)

localize17.0ms (0.2%)

rewrite87.0ms (1.2%)

series76.0ms (1%)

simplify139.0ms (1.9%)

prune235.0ms (3.2%)

localize24.0ms (0.3%)

rewrite36.0ms (0.5%)

series815.0ms (11.2%)

simplify121.0ms (1.7%)

prune135.0ms (1.8%)

localize18.0ms (0.2%)

rewrite229.0ms (3.1%)

series222.0ms (3%)

simplify352.0ms (4.8%)

prune1.3s (17.9%)

localize8.0ms (0.1%)

rewrite85.0ms (1.2%)

series147.0ms (2%)

simplify193.0ms (2.6%)

prune239.0ms (3.3%)

regimes353.0ms (4.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.4s (18.8%)

Profiling