Details

analyze1.2s (8.3%)

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)

sample80.0ms (0.6%)

Algorithm

1×

intervals

Results

23.0ms	51×	body	2048	valid
14.0ms	147×	body	128	valid
9.0ms	26×	body	1024	valid
6.0ms	11×	body	4096	valid
4.0ms	14×	body	512	valid
2.0ms	22×	body	128	nan
1.0ms	7×	body	256	valid
1.0ms	10×	body	128	invalid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify544.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (534.0ms)

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

36.4b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize21.0ms (0.1%)

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))
1.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
1.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
22.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite64.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

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

Counts

4 → 74

Calls

4 calls:

23.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
14.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
8.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
8.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

series1.1s (7.8%)

Counts

4 → 71

Calls

4 calls:

350.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
266.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
259.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
244.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 2110 to 1780 computations (15.6% saved)

simplify120.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5654	2921

prune306.0ms (2.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	134	11	145
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	135	11	146

Error

4.5b

Counts

146 → 11

Compiler

Compiled 3086 to 1650 computations (46.5% saved)

localize6.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune21.0ms (0.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	10	10
Picked	1	1
Done	0	0
Total	11	11

Error

4.5b

Counts

11 → 11

Compiler

Compiled 217 to 160 computations (26.3% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
1.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
1.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
22.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite178.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

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×	`cbrt-undiv_binary64_794` `pow1_binary64_821`
5×	`associate-/r/_binary64_706`
4×	`cancel-sign-sub-inv_binary64_726`
3×	`associate-/l*_binary64_705` `rec-exp_binary64_810` `1-exp_binary64_804` `flip--_binary64_735` `flip3--_binary64_764`
2×	`diff-log_binary64_852` `sqrt-div_binary64_777` `sub-neg_binary64_753`
1×	`rem-sqrt-square_binary64_773` `frac-2neg_binary64_771` `sqrt-pow1_binary64_778` `inv-pow_binary64_845` `pow1/2_binary64_840` `clear-num_binary64_759` `pow-flip_binary64_834`

Counts

4 → 356

Calls

4 calls:

45.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
15.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
8.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
7.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

series1.1s (7.9%)

Counts

4 → 71

Calls

4 calls:

341.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
278.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
270.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
255.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)

Compiler

Compiled 2270 to 1940 computations (14.5% saved)

simplify344.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

427 → 427

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	5001	17228

prune1.6s (10.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	423	4	427
Fresh	4	5	9
Picked	0	1	1
Done	0	1	1
Total	427	11	438

Error

4.5b

Counts

438 → 11

Compiler

Compiled 13750 to 7643 computations (44.4% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (/.f64 1/2 a))
1.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
1.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
22.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite76.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_782`
18×	`*-un-lft-identity_binary64_760`
14×	`add-cube-cbrt_binary64_795`
13×	`associate-r_binary64_700`
10×	`times-frac_binary64_766`
9×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
8×	`add-log-exp_binary64_799`
7×	`pow1_binary64_821`
6×	`associate-l_binary64_701`
5×	`sqrt-prod_binary64_776` `flip--_binary64_735` `flip3--_binary64_764`
4×	`cancel-sign-sub-inv_binary64_726` `difference-of-squares_binary64_729`
2×	`diff-log_binary64_852` `unswap-sqr_binary64_728` `associate-*l/_binary64_703` `prod-exp_binary64_809` `sqrt-div_binary64_777` `distribute-lft-out--_binary64_712` `frac-times_binary64_770` `cbrt-unprod_binary64_793` `sub-neg_binary64_753`
1×	`rem-sqrt-square_binary64_773` `cbrt-undiv_binary64_794` `sqrt-pow1_binary64_778` `div-inv_binary64_757` `associate-r/_binary64_702` `pow1/2_binary64_840` `div-exp_binary64_811` `pow-prod-down_binary64_831` `-commutative_binary64_691`

Counts

4 → 83

Calls

4 calls:

32.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (/.f64 1/2 a))
15.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
8.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
8.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

series1.2s (8.2%)

Counts

4 → 71

Calls

4 calls:

371.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (/.f64 1/2 a))
279.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
269.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
264.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2110 to 1780 computations (15.6% saved)

simplify132.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4951	3167
1	4951	3167

prune248.0ms (1.7%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	154	11	165

Error

4.5b

Counts

165 → 11

Compiler

Compiled 3097 to 1615 computations (47.9% saved)

regimes1.7s (11.6%)

Accuracy

Total 4.2b remaining (43.2%)

Threshold costs 0b (0%)

Compiler

Compiled 4224 to 3302 computations (21.8% saved)

bsearch118.0ms (0.8%)

Steps

Iters	Range		Point
9	7.072286000611734e-94	2.5277660571473974e-85	8.363763603956312e-87
8	-5.813356729419318e+127	-3.685760725423458e+124	-1.1308221896935463e+125

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	101	58
1	101	58

end0.0ms (0%)

sample4.2s (29.2%)

Algorithm

1×

intervals

Results

554.0ms	5253×	body	128	valid
549.0ms	1118×	body	2048	valid
293.0ms	724×	body	1024	valid
241.0ms	385×	body	4096	valid
105.0ms	351×	body	512	valid
64.0ms	661×	body	128	nan
36.0ms	354×	body	128	invalid
34.0ms	169×	body	256	valid

Compiler

Compiled 1145 to 885 computations (22.7% saved)

Details

analyze1.2s (8.3%)

sample80.0ms (0.6%)

simplify544.0ms (3.8%)

prune7.0ms (0%)

localize21.0ms (0.1%)

rewrite64.0ms (0.4%)

series1.1s (7.8%)

simplify120.0ms (0.8%)

prune306.0ms (2.1%)

localize6.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify11.0ms (0.1%)

prune21.0ms (0.1%)

localize23.0ms (0.2%)

rewrite178.0ms (1.2%)

series1.1s (7.9%)

simplify344.0ms (2.4%)

prune1.6s (10.8%)

localize21.0ms (0.1%)

rewrite76.0ms (0.5%)

series1.2s (8.2%)

simplify132.0ms (0.9%)

prune248.0ms (1.7%)

regimes1.7s (11.6%)

bsearch118.0ms (0.8%)

simplify6.0ms (0%)

end0.0ms (0%)

sample4.2s (29.2%)

Profiling