Details

analyze479.0ms (5.2%)

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
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)

sample44.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	34×	body	2048	valid
8.0ms	155×	body	128	valid
7.0ms	24×	body	4096	valid
5.0ms	26×	body	1024	valid
2.0ms	13×	body	512	valid
1.0ms	19×	body	128	nan
1.0ms	10×	body	128	invalid
0.0ms	4×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify410.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (308.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune4.0ms (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

Merged error: 37.1b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (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))
0.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
26.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite35.0ms (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:

12.0ms	(/.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)))

series657.0ms (7.1%)

Counts

4 → 68

Calls

4 calls:

206.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
166.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
145.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
140.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2087 to 1770 computations (15.2% saved)

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5353	2755

prune183.0ms (2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	126	16	142
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	127	16	143

Merged error: 11.8b

Counts

143 → 16

Compiler

Compiled 3067 to 1694 computations (44.8% saved)

localize12.0ms (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)))
0.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
26.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite110.0ms (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:

24.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
10.0ms	(-.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))))

series652.0ms (7%)

Counts

4 → 68

Calls

4 calls:

201.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
162.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
149.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
139.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2245 to 1928 computations (14.1% saved)

simplify193.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

424 → 424

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4967	17092
1	4967	17092

prune771.0ms (8.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	421	3	424
Fresh	3	12	15
Picked	0	1	1
Done	0	0	0
Total	424	16	440

Merged error: 11.8b

Counts

440 → 16

Compiler

Compiled 13785 to 7697 computations (44.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
26.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
26.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite217.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

198.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
5.0ms	(-.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))))

series639.0ms (6.9%)

Counts

4 → 72

Calls

4 calls:

174.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
167.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
154.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
144.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3658 to 2774 computations (24.2% saved)

simplify92.0ms (1%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4932	1932
1	4932	1932

prune197.0ms (2.1%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	0	14	14
Picked	1	0	1
Done	0	1	1
Total	125	17	142

Merged error: 11.8b

Counts

142 → 17

Compiler

Compiled 4548 to 2495 computations (45.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (.f64 a 2))
0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
7.5b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (.f64 a 2)) (/.f64 b (*.f64 a 2)))
26.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite39.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_760`
14×	`add-sqr-sqrt_binary64_782`
11×	`add-cube-cbrt_binary64_795` `times-frac_binary64_766`
9×	`sqrt-prod_binary64_776` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
8×	`cancel-sign-sub-inv_binary64_726` `add-log-exp_binary64_799`
6×	`associate-/l*_binary64_705`
5×	`pow1_binary64_821`
4×	`div-inv_binary64_757` `sqrt-div_binary64_777` `flip--_binary64_735` `flip3--_binary64_764`
2×	`diff-log_binary64_852` `cbrt-undiv_binary64_794` `associate-/l/_binary64_707` `distribute-lft-out--_binary64_712` `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` `difference-of-squares_binary64_729` `frac-sub_binary64_769` `sub-div_binary64_767` `cbrt-unprod_binary64_793` `pow1/2_binary64_840` `clear-num_binary64_759` `distribute-rgt-out--_binary64_714`

Counts

4 → 80

Calls

4 calls:

14.0ms	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (.f64 a 2)) (/.f64 b (*.f64 a 2)))
8.0ms	(/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (.f64 a 2))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

series769.0ms (8.3%)

Counts

4 → 70

Calls

4 calls:

254.0ms	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (.f64 a 2)) (/.f64 b (*.f64 a 2)))
218.0ms	(/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (.f64 a 2))
158.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
139.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2391 to 1988 computations (16.9% saved)

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5072	2952

prune153.0ms (1.7%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	15	15
Picked	0	1	1
Done	0	1	1
Total	150	17	167

Merged error: 11.8b

Counts

167 → 17

Compiler

Compiled 3376 to 1913 computations (43.3% saved)

regimes918.0ms (9.9%)

Compiler: Compiled 5796 to 4502 computations (22.3% saved)

bsearch4.0ms (0%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	102	184
1	102	184

end0.0ms (0%)

sample2.5s (27.1%)

Algorithm

1×

intervals

Results

284.0ms	1099×	body	2048	valid
283.0ms	5229×	body	128	valid
146.0ms	720×	body	1024	valid
126.0ms	406×	body	4096	valid
54.0ms	369×	body	512	valid
33.0ms	671×	body	128	nan
22.0ms	372×	body	128	invalid
18.0ms	177×	body	256	valid

Compiler

Compiled 1620 to 1230 computations (24.1% saved)

Details

analyze479.0ms (5.2%)

sample44.0ms (0.5%)

simplify410.0ms (4.4%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite35.0ms (0.4%)

series657.0ms (7.1%)

simplify72.0ms (0.8%)

prune183.0ms (2%)

localize12.0ms (0.1%)

rewrite110.0ms (1.2%)

series652.0ms (7%)

simplify193.0ms (2.1%)

prune771.0ms (8.3%)

localize14.0ms (0.1%)

rewrite217.0ms (2.3%)

series639.0ms (6.9%)

simplify92.0ms (1%)

prune197.0ms (2.1%)

localize12.0ms (0.1%)

rewrite39.0ms (0.4%)

series769.0ms (8.3%)

simplify54.0ms (0.6%)

prune153.0ms (1.7%)

regimes918.0ms (9.9%)

bsearch4.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.5s (27.1%)

Profiling