Details

analyze762.0ms (3.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5132	96
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
12.5%	87.4%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	71.8%	6.4%	7
31.2%	62.4%	6.4%	8
35.9%	55.4%	8.7%	9
37.8%	48.8%	13.4%	10
42.7%	42.3%	15%	11
47.7%	34.2%	18.1%	12
49.1%	30.4%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample45.0ms (0.2%)

Algorithm

1×

intervals

Results

9.0ms	171×	body	128	valid
9.0ms	34×	body	2048	valid
5.0ms	22×	body	1024	valid
4.0ms	12×	body	4096	valid
1.0ms	8×	body	512	valid
1.0ms	9×	body	256	valid
1.0ms	17×	body	128	invalid
1.0ms	17×	body	128	nan

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify299.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (293.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune7.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

34.2b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
1.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
1.8b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
21.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite163.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

33.9b

Rules

21×	`add-sqr-sqrt_binary64_782`
14×	`*-un-lft-identity_binary64_760`
9×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
8×	`add-log-exp_binary64_799` `add-cube-cbrt_binary64_795`
6×	`sqrt-prod_binary64_776` `difference-of-squares_binary64_729` `times-frac_binary64_766` `associate-/l*_binary64_705`
5×	`pow1_binary64_821`
4×	`flip3--_binary64_764` `flip--_binary64_735` `cancel-sign-sub-inv_binary64_726`
3×	`distribute-lft-out--_binary64_712`
2×	`sqrt-div_binary64_777` `diff-log_binary64_852` `sub-neg_binary64_753` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-/l/_binary64_707`
1×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `associate-/r*_binary64_704`

Counts

4 → 74

Calls

4 calls:

11.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 2100 to 1088 computations (48.2% saved)

series897.0ms (3.8%)

Error

6.0b

Counts

4 → 62

Calls

4 calls:

263.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
232.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
174.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
169.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2629 to 2014 computations (23.4% saved)

simplify73.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5462	2580

prune171.0ms (0.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	126	10	136
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	127	10	137

Error

6.0b

Counts

137 → 10

Compiler

Compiled 2793 to 1465 computations (47.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
1.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
1.8b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
21.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite1.1s (4.4%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

Rules

693×	`times-frac_binary64_766`
439×	`add-sqr-sqrt_binary64_782`
364×	`*-un-lft-identity_binary64_760`
290×	`add-cube-cbrt_binary64_795`
74×	`difference-of-squares_binary64_729`
71×	`associate-/r*_binary64_704`
40×	`sqrt-prod_binary64_776`
37×	`distribute-lft-out--_binary64_712`
25×	`add-exp-log_binary64_798`
17×	`div-inv_binary64_757`
15×	`div-exp_binary64_811`
13×	`add-cbrt-cube_binary64_796`
8×	`add-log-exp_binary64_799`
6×	`pow1_binary64_821` `cbrt-undiv_binary64_794`
5×	`associate-/r/_binary64_706`
4×	`cancel-sign-sub-inv_binary64_726`
3×	`flip3--_binary64_764` `flip--_binary64_735` `1-exp_binary64_804` `rec-exp_binary64_810` `associate-/l*_binary64_705`
2×	`sqrt-div_binary64_777` `diff-log_binary64_852` `sub-neg_binary64_753`
1×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `inv-pow_binary64_845` `pow-flip_binary64_834` `frac-2neg_binary64_771` `clear-num_binary64_759`

Counts

4 → 356

Calls

4 calls:

24.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
11.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 14021 to 8305 computations (40.8% saved)

series887.0ms (3.7%)

Error

6.0b

Counts

4 → 62

Calls

4 calls:

265.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
234.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
172.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
161.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)

Compiler

Compiled 2871 to 2256 computations (21.4% saved)

simplify184.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

418 → 418

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5006	16887

prune930.0ms (3.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	416	2	418
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	419	9	428

Error

5.9b

Counts

428 → 9

Compiler

Compiled 13509 to 7486 computations (44.6% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (/.f64 1 a) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
1.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
1.8b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
21.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite6.1s (25.7%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

Rules

3251×	`times-frac_binary64_766`
1761×	`add-sqr-sqrt_binary64_782`
1506×	`*-un-lft-identity_binary64_760`
1252×	`add-cube-cbrt_binary64_795`
254×	`difference-of-squares_binary64_729`
130×	`sqrt-prod_binary64_776`
129×	`div-inv_binary64_757`
127×	`distribute-lft-out--_binary64_712`
87×	`add-exp-log_binary64_798`
71×	`associate-/r*_binary64_704`
70×	`div-exp_binary64_811`
25×	`add-cbrt-cube_binary64_796`
15×	`1-exp_binary64_804` `rec-exp_binary64_810` `cbrt-undiv_binary64_794` `associate-/r/_binary64_706`
13×	`associate-/l*_binary64_705`
8×	`add-log-exp_binary64_799`
5×	`pow1_binary64_821`
4×	`cancel-sign-sub-inv_binary64_726`
3×	`flip3--_binary64_764` `flip--_binary64_735`
2×	`sqrt-div_binary64_777` `diff-log_binary64_852` `sub-neg_binary64_753`
1×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `frac-2neg_binary64_771` `clear-num_binary64_759` `associate-/l/_binary64_707`

Counts

4 → 1097

Calls

4 calls:

44.0ms	(/.f64 (/.f64 1 a) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 50764 to 33343 computations (34.3% saved)

series883.0ms (3.7%)

Error

5.9b

Counts

4 → 62

Calls

4 calls:

262.0ms	(/.f64 (/.f64 1 a) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
225.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
171.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
166.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3113 to 2498 computations (19.8% saved)

simplify569.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1159 → 1159

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4972	63896
1	4972	63896

prune4.3s (18.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	1159	0	1159
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	1159	9	1168

Error

5.9b

Counts

1168 → 9

Compiler

Compiled 44373 to 26704 computations (39.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.8b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.8b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
21.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
21.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite119.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

Rules

8×	`add-log-exp_binary64_799` `add-sqr-sqrt_binary64_782`
6×	`pow1_binary64_821` `add-cube-cbrt_binary64_795` `sqrt-prod_binary64_776` `*-un-lft-identity_binary64_760`
4×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `flip3--_binary64_764` `sqrt-div_binary64_777` `flip--_binary64_735`
2×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726`

Counts

4 → 54

Calls

4 calls:

4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2260 to 1171 computations (48.2% saved)

series933.0ms (3.9%)

Error

5.9b

Counts

4 → 68

Calls

4 calls:

250.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
232.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
182.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
174.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 5386 to 3643 computations (32.4% saved)

simplify65.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4945	1800
1	4945	1800

prune186.0ms (0.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	122	9	131

Error

5.9b

Counts

131 → 9

Compiler

Compiled 4042 to 2114 computations (47.7% saved)

regimes1.7s (7%)

Accuracy

Total 4.7b remaining (45.8%)

Threshold costs 0b (0%)

Compiler

Compiled 10016 to 7618 computations (23.9% saved)

bsearch62.0ms (0.3%)

Steps

Iters	Range		Point
6	8.879212643877075e-85	1.2995848864263519e-83	9.77291758546256e-84
8	-1.0304112766147893e+65	-1.083129702115682e+62	-1.020225921157335e+65

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	93	52
1	93	52

end0.0ms (0%)

sample3.4s (14.1%)

Algorithm

1×

intervals

Results

303.0ms	1145×	body	2048	valid
300.0ms	5185×	body	128	valid
165.0ms	760×	body	1024	valid
127.0ms	397×	body	4096	valid
54.0ms	352×	body	512	valid
37.0ms	709×	body	128	nan
24.0ms	385×	body	128	invalid
19.0ms	161×	body	256	valid

Compiler

Compiled 2589 to 1961 computations (24.3% saved)

Details

analyze762.0ms (3.2%)

sample45.0ms (0.2%)

simplify299.0ms (1.3%)

prune7.0ms (0%)

localize12.0ms (0%)

rewrite163.0ms (0.7%)

series897.0ms (3.8%)

simplify73.0ms (0.3%)

prune171.0ms (0.7%)

localize13.0ms (0.1%)

rewrite1.1s (4.4%)

series887.0ms (3.7%)

simplify184.0ms (0.8%)

prune930.0ms (3.9%)

localize14.0ms (0.1%)

rewrite6.1s (25.7%)

series883.0ms (3.7%)

simplify569.0ms (2.4%)

prune4.3s (18.1%)

localize14.0ms (0.1%)

rewrite119.0ms (0.5%)

series933.0ms (3.9%)

simplify65.0ms (0.3%)

prune186.0ms (0.8%)

regimes1.7s (7%)

bsearch62.0ms (0.3%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.4s (14.1%)

Profiling