Details

analyze655.0ms (2.9%)

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)

sample41.0ms (0.2%)

Algorithm

1×

intervals

Results

8.0ms	36×	body	2048	valid
8.0ms	166×	body	128	valid
5.0ms	29×	body	1024	valid
3.0ms	11×	body	4096	valid
1.0ms	10×	body	512	valid
1.0ms	22×	body	128	nan
1.0ms	16×	body	128	invalid
0.0ms	4×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify321.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (316.0ms)

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

Error

34.3b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (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))
0.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
1.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
23.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite155.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

34.1b

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:

15.0ms	(/.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)

series810.0ms (3.6%)

Error

6.0b

Counts

4 → 84

Calls

4 calls:

243.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
183.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
152.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
144.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 3985 to 3009 computations (24.5% saved)

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5040	3596

prune182.0ms (0.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	147	11	158
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	148	11	159

Error

5.9b

Counts

159 → 11

Compiler

Compiled 3614 to 1921 computations (46.8% 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)))
0.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
1.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
23.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite1.0s (4.5%)

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:

26.0ms	(/.f64 1 (/.f64 a (/.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)
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 14021 to 8305 computations (40.8% saved)

series813.0ms (3.6%)

Error

5.9b

Counts

4 → 84

Calls

4 calls:

223.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
184.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
166.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
153.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 4277 to 3301 computations (22.8% saved)

simplify198.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

440 → 440

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4970	18113
1	4970	18113

prune813.0ms (3.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	437	3	440
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	439	12	451

Error

5.9b

Counts

451 → 12

Compiler

Compiled 14490 to 8116 computations (44% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
0.2b	(/.f64 (/.f64 1 a) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
1.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
23.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite5.8s (25.4%)

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:

46.0ms	(/.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)

series817.0ms (3.6%)

Error

5.9b

Counts

4 → 84

Calls

4 calls:

229.0ms	(/.f64 (/.f64 1 a) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
189.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
159.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
149.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 4569 to 3593 computations (21.4% saved)

simplify514.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1181 → 1181

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5286	64946

prune4.3s (18.6%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	1180	1	1181
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	1180	13	1193

Error

5.9b

Counts

1193 → 13

Compiler

Compiled 45282 to 27255 computations (39.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
23.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
23.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite108.0ms (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	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(-.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))))

Compiler

Compiled 2260 to 1171 computations (48.2% saved)

series746.0ms (3.3%)

Error

5.9b

Counts

4 → 74

Calls

4 calls:

169.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
165.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
164.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
157.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 6002 to 4061 computations (32.3% saved)

simplify91.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4939	1992
1	4939	1992

prune175.0ms (0.8%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	128	13	141

Error

5.9b

Counts

141 → 13

Compiler

Compiled 4296 to 2254 computations (47.5% saved)

regimes1.7s (7.4%)

Accuracy

Total 4.9b remaining (46.5%)

Threshold costs 0b (0%)

Compiler

Compiled 11076 to 8506 computations (23.2% saved)

bsearch59.0ms (0.3%)

Steps

Iters	Range		Point
11	5.26263349037993e-143	3.385126611370661e-120	3.040912001416064e-120
3	-2.6041266003997847e+86	-2.2314864917519052e+86	-2.564890987965728e+86

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	93	52
1	93	52

end0.0ms (0%)

sample3.4s (15.1%)

Algorithm

1×

intervals

Results

270.0ms	1100×	body	2048	valid
266.0ms	5221×	body	128	valid
141.0ms	715×	body	1024	valid
120.0ms	415×	body	4096	valid
51.0ms	354×	body	512	valid
29.0ms	626×	body	128	nan
18.0ms	195×	body	256	valid
18.0ms	358×	body	128	invalid

Compiler

Compiled 2854 to 2183 computations (23.5% saved)

Details

analyze655.0ms (2.9%)

sample41.0ms (0.2%)

simplify321.0ms (1.4%)

prune4.0ms (0%)

localize11.0ms (0%)

rewrite155.0ms (0.7%)

series810.0ms (3.6%)

simplify59.0ms (0.3%)

prune182.0ms (0.8%)

localize13.0ms (0.1%)

rewrite1.0s (4.5%)

series813.0ms (3.6%)

simplify198.0ms (0.9%)

prune813.0ms (3.6%)

localize13.0ms (0.1%)

rewrite5.8s (25.4%)

series817.0ms (3.6%)

simplify514.0ms (2.3%)

prune4.3s (18.6%)

localize14.0ms (0.1%)

rewrite108.0ms (0.5%)

series746.0ms (3.3%)

simplify91.0ms (0.4%)

prune175.0ms (0.8%)

regimes1.7s (7.4%)

bsearch59.0ms (0.3%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.4s (15.1%)

Profiling