Details

analyze420.0ms (1.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6300	74
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	56.2%	43.8%	0
0%	56.2%	43.8%	1
0%	56.2%	43.8%	2
42.1%	14%	43.8%	3
42.1%	14%	43.8%	4
52.7%	3.5%	43.8%	5
56.2%	0%	43.8%	6

Symmetry

(sort alpha beta)

Compiler

Compiled 42 to 29 computations (31% saved)

sample38.0ms (0.1%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 77 to 55 computations (28.6% saved)

simplify228.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (223.0ms)

Iter	Nodes	Cost
0	5023	37

prune6.0ms (0%)

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

1.4b

Counts

2 → 2

Compiler

Compiled 85 to 60 computations (29.4% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))
0.0b	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
0.1b	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
24.6b	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))

rewrite507.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

77×	`*-un-lft-identity_binary64_760`
34×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `distribute-lft-out_binary64_711`
24×	`flip3-+_binary64_763` `flip-+_binary64_734`
21×	`add-sqr-sqrt_binary64_782` `associate-r_binary64_700`
18×	`associate-/r/_binary64_706`
16×	`frac-times_binary64_770`
15×	`add-cube-cbrt_binary64_795`
14×	`times-frac_binary64_766`
13×	`pow1_binary64_821`
11×	`swap-sqr_binary64_727`
10×	`prod-exp_binary64_809` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `cbrt-unprod_binary64_793` `associate-*l/_binary64_703`
9×	`associate-l_binary64_701`
8×	`associate-*r/_binary64_702`
7×	`associate-/l/_binary64_707`
6×	`associate-/r*_binary64_704`
5×	`associate-/l*_binary64_705`
4×	`add-log-exp_binary64_799`
3×	`div-inv_binary64_757` `unswap-sqr_binary64_728`
2×	`frac-2neg_binary64_771` `clear-num_binary64_759` `pow-prod-down_binary64_831` `*-commutative_binary64_691`
1×	`pow2_binary64_841` `pow-prod-up_binary64_830` `pow-plus_binary64_823` `pow-sqr_binary64_733` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`

Counts

4 → 158

Calls

4 calls:

28.0ms	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
24.0ms	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
21.0ms	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
15.0ms	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 5262 to 3194 computations (39.3% saved)

series3.7s (9.3%)

Error

0.1b

Counts

4 → 72

Calls

4 calls:

1.7s	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
778.0ms	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
558.0ms	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
178.0ms	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 13803 to 11013 computations (20.2% saved)

simplify125.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5134	13209

prune835.0ms (2.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	223	7	230
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	225	7	232

Error

0.0b

Counts

232 → 7

Compiler

Compiled 9673 to 6633 computations (31.4% saved)

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))
0.0b	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
0.0b	(/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta)))
0.1b	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))

rewrite633.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

192×	`*-un-lft-identity_binary64_760`
89×	`times-frac_binary64_766`
82×	`distribute-lft-out_binary64_711`
60×	`add-sqr-sqrt_binary64_782`
48×	`add-cube-cbrt_binary64_795`
38×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
26×	`associate-l_binary64_701` `associate-r_binary64_700`
15×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-/r*_binary64_704`
10×	`associate-/r/_binary64_706`
9×	`associate-/l*_binary64_705`
8×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793`
7×	`associate-/l/_binary64_707` `flip3-+_binary64_763` `flip-+_binary64_734`
6×	`pow1_binary64_821`
5×	`div-inv_binary64_757`
4×	`add-log-exp_binary64_799` `unswap-sqr_binary64_728`
3×	`frac-2neg_binary64_771` `clear-num_binary64_759`
2×	`frac-times_binary64_770` `associate-l/_binary64_703` `associate-r/_binary64_702`
1×	`pow-prod-down_binary64_831` `*-commutative_binary64_691`

Counts

4 → 202

Calls

4 calls:

35.0ms	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
28.0ms	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
15.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))
10.0ms	(/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta)))

Compiler

Compiled 5580 to 3723 computations (33.3% saved)

series3.3s (8.3%)

Error

0.0b

Counts

4 → 72

Calls

4 calls:

1.7s	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
763.0ms	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
199.0ms	(/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta)))
181.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 13350 to 10510 computations (21.3% saved)

simplify130.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

274 → 274

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5186	14138

prune991.0ms (2.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	271	3	274
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	276	5	281

Error

Counts

281 → 5

Compiler

Compiled 10364 to 7222 computations (30.3% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 (+.f64 beta 3) alpha) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha)))
0.0b	(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
0.0b	(/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta)))
0.1b	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 (+.f64 beta 3) alpha) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))))

rewrite9.4s (23.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15581×	`*-un-lft-identity_binary64_760`
12730×	`times-frac_binary64_766`
6938×	`distribute-lft-out_binary64_711`
3552×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
587×	`associate-/r/_binary64_706`
308×	`div-inv_binary64_757`
282×	`flip3-+_binary64_763` `flip-+_binary64_734`
171×	`associate-/r*_binary64_704`
39×	`associate-/l*_binary64_705`
34×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
20×	`div-exp_binary64_811` `cbrt-undiv_binary64_794`
7×	`associate-/l/_binary64_707`
4×	`pow1_binary64_821` `add-log-exp_binary64_799` `frac-2neg_binary64_771` `clear-num_binary64_759`

Counts

4 → 3963

Calls

4 calls:

124.0ms	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 (+.f64 beta 3) alpha) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))))
30.0ms	(/.f64 (+.f64 (+.f64 beta 3) alpha) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha)))
10.0ms	(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))
9.0ms	(/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta)))

Compiler

Compiled 54202 to 39325 computations (27.4% saved)

series2.8s (7.1%)

Error

Counts

4 → 75

Calls

4 calls:

1.7s	(/.f64 (/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta))) (/.f64 (+.f64 (+.f64 beta 3) alpha) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))))
316.0ms	(/.f64 (+.f64 (+.f64 beta 3) alpha) (/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha)))
237.0ms	(/.f64 (+.f64 1 alpha) (+.f64 alpha (+.f64 2 beta)))
174.0ms	(/.f64 (+.f64 1 beta) (+.f64 (+.f64 beta 2) alpha))

Compiler

Compiled 11271 to 8807 computations (21.9% saved)

simplify2.1s (5.3%)

Algorithm

1×	egg-herbie

Counts

4038 → 4038

Iterations

Useful iterations: 0 (140.0ms)

Iter	Nodes	Cost
0	5549	279482

prune7.5s (19%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	4036	2	4038
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	4038	5	4043

Error

Counts

4043 → 5

Compiler

Compiled 51509 to 36985 computations (28.2% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 1 beta))
0.3b	(cbrt.f64 (+.f64 1 beta))
0.3b	(cbrt.f64 (+.f64 1 beta))
0.4b	(*.f64 (cbrt.f64 (+.f64 1 beta)) (cbrt.f64 (+.f64 1 beta)))

rewrite351.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`cbrt-prod_binary64_791`
35×	`*-un-lft-identity_binary64_760`
23×	`add-sqr-sqrt_binary64_782`
18×	`cbrt-div_binary64_792`
15×	`add-cube-cbrt_binary64_795`
11×	`pow1_binary64_821`
9×	`pow1/3_binary64_842` `flip3-+_binary64_763` `flip-+_binary64_734` `swap-sqr_binary64_727` `distribute-lft-out_binary64_711`
7×	`associate-l_binary64_701` `associate-r_binary64_700`
6×	`add-exp-log_binary64_798`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `frac-times_binary64_770` `unswap-sqr_binary64_728`
2×	`pow-prod-down_binary64_831` `pow-prod-up_binary64_830` `pow-sqr_binary64_733` `associate-l/_binary64_703` `associate-r/_binary64_702`
1×	`pow2_binary64_841` `pow-plus_binary64_823` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`

Counts

4 → 95

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (+.f64 1 beta)) (cbrt.f64 (+.f64 1 beta)))
3.0ms	(cbrt.f64 (+.f64 1 beta))
3.0ms	(cbrt.f64 (+.f64 1 beta))
3.0ms	(cbrt.f64 (+.f64 1 beta))

Compiler

Compiled 3631 to 2694 computations (25.8% saved)

series432.0ms (1.1%)

Error

Counts

4 → 39

Calls

4 calls:

103.0ms	(*.f64 (cbrt.f64 (+.f64 1 beta)) (cbrt.f64 (+.f64 1 beta)))
75.0ms	(cbrt.f64 (+.f64 1 beta))
75.0ms	(cbrt.f64 (+.f64 1 beta))
74.0ms	(cbrt.f64 (+.f64 1 beta))

Compiler

Compiled 3425 to 2685 computations (21.6% saved)

simplify121.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	5304	1820

prune310.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	134	5	139

Error

Counts

139 → 5

Compiler

Compiled 3731 to 2708 computations (27.4% saved)

regimes4.3s (10.8%)

Accuracy

Total 0.1b remaining (62.5%)

Threshold costs 0.1b (62.5%)

Compiler

Compiled 54776 to 41603 computations (24% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	37
1	24	37

end9.0ms (0%)

Compiler: Compiled 75 to 57 computations (24% saved)

sample1.3s (3.4%)

Algorithm

1×

intervals

Results

514.0ms	8000×	body	128	valid
131.0ms	8000×	pre	128	true

Compiler

Compiled 221 to 176 computations (20.4% saved)

Details

analyze420.0ms (1.1%)

sample38.0ms (0.1%)

simplify228.0ms (0.6%)

prune6.0ms (0%)

localize13.0ms (0%)

rewrite507.0ms (1.3%)

series3.7s (9.3%)

simplify125.0ms (0.3%)

prune835.0ms (2.1%)

localize19.0ms (0%)

rewrite633.0ms (1.6%)

series3.3s (8.3%)

simplify130.0ms (0.3%)

prune991.0ms (2.5%)

localize15.0ms (0%)

rewrite9.4s (23.7%)

series2.8s (7.1%)

simplify2.1s (5.3%)

prune7.5s (19%)

localize21.0ms (0.1%)

rewrite351.0ms (0.9%)

series432.0ms (1.1%)

simplify121.0ms (0.3%)

prune310.0ms (0.8%)

regimes4.3s (10.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end9.0ms (0%)

sample1.3s (3.4%)

Profiling