Details

analyze814.0ms (8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4810	96
1	4810	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)

sample42.0ms (0.4%)

Algorithm

1×

intervals

Results

8.0ms	167×	body	128	valid
7.0ms	27×	body	2048	valid
5.0ms	25×	body	1024	valid
4.0ms	14×	body	4096	valid
2.0ms	16×	body	512	valid
1.0ms	20×	body	128	nan
1.0ms	7×	body	256	valid
1.0ms	11×	body	128	invalid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify334.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (328.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune6.0ms (0.1%)

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

32.9b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a)
0.8b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.1b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
20.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite135.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

32.6b

Rules

24×	`*-un-lft-identity_binary64_760`
15×	`add-sqr-sqrt_binary64_782`
14×	`add-cube-cbrt_binary64_795`
12×	`times-frac_binary64_766`
8×	`add-log-exp_binary64_799`
6×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
5×	`pow1_binary64_821` `distribute-lft-out_binary64_711`
4×	`associate-/l*_binary64_705`
3×	`sqrt-prod_binary64_776` `associate-/r*_binary64_704`
2×	`flip3--_binary64_764` `sqrt-div_binary64_777` `flip--_binary64_735` `flip3-+_binary64_763` `flip-+_binary64_734` `associate-/l/_binary64_707`
1×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `sum-log_binary64_851` `+-commutative_binary64_690` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757`

Counts

4 → 72

Calls

4 calls:

8.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a)
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
5.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2053 to 1050 computations (48.9% saved)

series738.0ms (7.3%)

Error

5.6b

Counts

4 → 76

Calls

4 calls:

192.0ms	(/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))) a)
161.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
156.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
155.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3466 to 2621 computations (24.4% saved)

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5033	3065

prune163.0ms (1.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	137	11	148
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	11	149

Error

5.5b

Counts

149 → 11

Compiler

Compiled 3214 to 1717 computations (46.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (/.f64 a (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
0.8b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.1b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
20.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite243.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

5.5b

Rules

102×	`times-frac_binary64_766`
82×	`*-un-lft-identity_binary64_760`
57×	`add-sqr-sqrt_binary64_782`
56×	`add-cube-cbrt_binary64_795`
18×	`associate-/r*_binary64_704`
15×	`add-exp-log_binary64_798`
13×	`distribute-lft-out_binary64_711`
9×	`add-cbrt-cube_binary64_796` `associate-/r/_binary64_706`
8×	`add-log-exp_binary64_799`
7×	`div-exp_binary64_811`
6×	`pow1_binary64_821`
5×	`flip3-+_binary64_763` `flip-+_binary64_734` `div-inv_binary64_757`
3×	`sqrt-prod_binary64_776` `cbrt-undiv_binary64_794` `associate-/l*_binary64_705`
2×	`flip3--_binary64_764` `sqrt-div_binary64_777` `flip--_binary64_735` `1-exp_binary64_804` `rec-exp_binary64_810`
1×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `sum-log_binary64_851` `+-commutative_binary64_690` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726` `inv-pow_binary64_845` `pow-flip_binary64_834` `frac-2neg_binary64_771` `clear-num_binary64_759`

Counts

4 → 135

Calls

4 calls:

14.0ms	(/.f64 1 (/.f64 a (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
6.0ms	(+.f64 b (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 4590 to 2591 computations (43.6% saved)

series727.0ms (7.2%)

Error

5.5b

Counts

4 → 76

Calls

4 calls:

193.0ms	(/.f64 1 (/.f64 a (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))))
163.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
152.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
151.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3744 to 2901 computations (22.5% saved)

simplify94.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4992	5551
1	4992	5551

prune261.0ms (2.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	209	2	211
Fresh	3	7	10
Picked	0	1	1
Done	0	0	0
Total	212	10	222

Error

5.5b

Counts

222 → 10

Compiler

Compiled 5403 to 3006 computations (44.4% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (/.f64 1 a))
0.8b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.1b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
20.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite133.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

5.5b

Rules

21×	`add-sqr-sqrt_binary64_782`
18×	`*-un-lft-identity_binary64_760`
13×	`add-exp-log_binary64_798` `add-cube-cbrt_binary64_795` `associate-r_binary64_700`
11×	`times-frac_binary64_766`
9×	`add-cbrt-cube_binary64_796`
8×	`add-log-exp_binary64_799`
7×	`pow1_binary64_821`
4×	`prod-exp_binary64_809` `associate-l_binary64_701`
3×	`sqrt-prod_binary64_776` `flip3-+_binary64_763` `flip-+_binary64_734` `unswap-sqr_binary64_728`
2×	`flip3--_binary64_764` `sqrt-div_binary64_777` `flip--_binary64_735` `distribute-lft-out_binary64_711` `div-exp_binary64_811` `cbrt-unprod_binary64_793` `frac-times_binary64_770` `associate-*l/_binary64_703`
1×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `sum-log_binary64_851` `+-commutative_binary64_690` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726` `pow-prod-down_binary64_831` `1-exp_binary64_804` `rec-exp_binary64_810` `cbrt-undiv_binary64_794` `un-div-inv_binary64_758` `associate-r/_binary64_702` `div-inv_binary64_757` `-commutative_binary64_691`

Counts

4 → 80

Calls

4 calls:

14.0ms	(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (/.f64 1 a))
6.0ms	(+.f64 b (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 2417 to 1345 computations (44.4% saved)

series732.0ms (7.2%)

Error

5.5b

Counts

4 → 76

Calls

4 calls:

188.0ms	(.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))))) (/.f64 1 a))
164.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
156.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
155.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3744 to 2908 computations (22.3% saved)

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4968	3105
1	4968	3105

prune160.0ms (1.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	156	10	166

Error

5.5b

Counts

166 → 10

Compiler

Compiled 3473 to 1977 computations (43.1% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.1b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
20.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
20.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
20.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite141.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

5.5b

Rules

10×	`add-sqr-sqrt_binary64_782`
9×	`sqrt-prod_binary64_776` `*-un-lft-identity_binary64_760`
7×	`pow1_binary64_821` `add-cube-cbrt_binary64_795`
6×	`add-log-exp_binary64_799` `sqrt-div_binary64_777`
4×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
3×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `flip3--_binary64_764` `flip--_binary64_735` `rem-sqrt-square_binary64_773`
1×	`sum-log_binary64_851` `flip3-+_binary64_763` `flip-+_binary64_734` `distribute-lft-out_binary64_711` `+-commutative_binary64_690`

Counts

4 → 57

Calls

4 calls:

6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3228 to 1668 computations (48.3% saved)

series851.0ms (8.4%)

Error

5.5b

Counts

4 → 79

Calls

4 calls:

179.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
176.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
174.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
172.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 9568 to 5982 computations (37.5% saved)

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4983	2633
1	4983	2633

prune259.0ms (2.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	136	10	146

Error

5.5b

Counts

146 → 10

Compiler

Compiled 6691 to 3468 computations (48.2% saved)

regimes1.1s (11.1%)

Accuracy

Total 3.3b remaining (37%)

Threshold costs 0b (0%)

Compiler

Compiled 7416 to 5382 computations (27.4% saved)

bsearch118.0ms (1.2%)

Steps

Iters	Range	Point
9	1.9104625263991283e+43	3.065541182071303e+49	3.0185045942898314e+49
9	-2.1847048076737034e-284	-2.43617909668472e-289	-2.535008326067869e-289
9	-3.827397424457087e+119	-6.300932638438881e+110	-3.4633822406296006e+113

Iters

Range

Point

1.9104625263991283e+43

3.065541182071303e+49

3.0185045942898314e+49

-2.1847048076737034e-284

-2.43617909668472e-289

-2.535008326067869e-289

-3.827397424457087e+119

-6.300932638438881e+110

-3.4633822406296006e+113

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	104	101
1	104	101

end0.0ms (0%)

sample2.8s (27.7%)

Algorithm

1×

intervals

Results

283.0ms	1140×	body	2048	valid
271.0ms	5202×	body	128	valid
149.0ms	724×	body	1024	valid
124.0ms	399×	body	4096	valid
56.0ms	370×	body	512	valid
35.0ms	675×	body	128	nan
19.0ms	165×	body	256	valid
19.0ms	372×	body	128	invalid

Compiler

Compiled 1972 to 1423 computations (27.8% saved)

Details

analyze814.0ms (8%)

sample42.0ms (0.4%)

simplify334.0ms (3.3%)

prune6.0ms (0.1%)

localize11.0ms (0.1%)

rewrite135.0ms (1.3%)

series738.0ms (7.3%)

simplify68.0ms (0.7%)

prune163.0ms (1.6%)

localize12.0ms (0.1%)

rewrite243.0ms (2.4%)

series727.0ms (7.2%)

simplify94.0ms (0.9%)

prune261.0ms (2.6%)

localize13.0ms (0.1%)

rewrite133.0ms (1.3%)

series732.0ms (7.2%)

simplify70.0ms (0.7%)

prune160.0ms (1.6%)

localize17.0ms (0.2%)

rewrite141.0ms (1.4%)

series851.0ms (8.4%)

simplify65.0ms (0.6%)

prune259.0ms (2.6%)

regimes1.1s (11.1%)

bsearch118.0ms (1.2%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.8s (27.7%)

Profiling