Details

analyze702.0ms (3.9%)

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

9.0ms	181×	body	128	valid
8.0ms	34×	body	2048	valid
3.0ms	14×	body	1024	valid
2.0ms	8×	body	4096	valid
2.0ms	14×	body	512	valid
1.0ms	20×	body	128	nan
1.0ms	17×	body	128	invalid
0.0ms	5×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify295.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (290.0ms)

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

32.0b

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 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
0.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
22.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite198.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

31.9b

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:

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)))

Compiler

Compiled 1900 to 985 computations (48.2% saved)

series1.2s (6.7%)

Error

7.5b

Counts

4 → 78

Calls

4 calls:

404.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
284.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
233.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
229.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3052 to 2434 computations (20.2% saved)

simplify100.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4947	3254
1	4947	3254

prune173.0ms (1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	141	11	152
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	142	11	153

Error

7.4b

Counts

153 → 11

Compiler

Compiled 2255 to 1262 computations (44% saved)

localize11.0ms (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))
0.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
22.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite189.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

7.4b

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×	`flip3--_binary64_764` `flip--_binary64_735` `sqrt-prod_binary64_776`
4×	`difference-of-squares_binary64_729` `cancel-sign-sub-inv_binary64_726`
2×	`sqrt-div_binary64_777` `diff-log_binary64_852` `sub-neg_binary64_753` `distribute-lft-out--_binary64_712` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-times_binary64_770` `unswap-sqr_binary64_728` `associate-*l/_binary64_703`
1×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `pow-prod-down_binary64_831` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-r/_binary64_702` `div-inv_binary64_757` `-commutative_binary64_691`

Counts

4 → 83

Calls

4 calls:

15.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (/.f64 1/2 a))
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 2199 to 1153 computations (47.6% saved)

series1.2s (6.7%)

Error

7.4b

Counts

4 → 78

Calls

4 calls:

403.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (/.f64 1/2 a))
291.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
223.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
222.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 3052 to 2434 computations (20.2% saved)

simplify57.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5584	3500

prune183.0ms (1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	156	5	161
Fresh	5	5	10
Picked	0	1	1
Done	0	0	0
Total	161	11	172

Error

7.4b

Counts

172 → 11

Compiler

Compiled 2430 to 1354 computations (44.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
0.5b	(/.f64 (sqrt.f64 1/2) a)
1.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
22.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite176.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

7.4b

Rules

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

Counts

4 → 83

Calls

4 calls:

8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
4.0ms	(/.f64 (sqrt.f64 1/2) a)
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 2208 to 1333 computations (39.6% saved)

series803.0ms (4.5%)

Error

7.4b

Counts

4 → 58

Calls

4 calls:

246.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
240.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
225.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
51.0ms	(/.f64 (sqrt.f64 1/2) a)

Compiler

Compiled 2581 to 2154 computations (16.5% saved)

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4971	2289
1	4971	2289

prune170.0ms (1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	142	10	152

Error

7.4b

Counts

152 → 10

Compiler

Compiled 2314 to 1462 computations (36.8% 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))
0.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
5.5b	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (.f64 a 2)) (/.f64 b (*.f64 a 2)))
22.6b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite200.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

7.4b

Rules

15×	`*-un-lft-identity_binary64_760`
14×	`add-sqr-sqrt_binary64_782`
11×	`add-cube-cbrt_binary64_795` `times-frac_binary64_766`
9×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `sqrt-prod_binary64_776`
8×	`add-log-exp_binary64_799` `cancel-sign-sub-inv_binary64_726`
6×	`associate-/l*_binary64_705`
5×	`pow1_binary64_821`
4×	`flip3--_binary64_764` `sqrt-div_binary64_777` `flip--_binary64_735` `div-inv_binary64_757`
2×	`diff-log_binary64_852` `sub-neg_binary64_753` `distribute-lft-out--_binary64_712` `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` `frac-sub_binary64_769` `sub-div_binary64_767` `difference-of-squares_binary64_729` `distribute-rgt-out--_binary64_714` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-2neg_binary64_771` `clear-num_binary64_759` `associate-/r*_binary64_704`

Counts

4 → 80

Calls

4 calls:

16.0ms	(-.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)))

Compiler

Compiled 2438 to 1368 computations (43.9% saved)

series1.4s (8.1%)

Error

7.4b

Counts

4 → 78

Calls

4 calls:

510.0ms	(-.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (.f64 a 2)) (/.f64 b (*.f64 a 2)))
391.0ms	(/.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) (.f64 a 2))
243.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
235.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3403 to 2659 computations (21.9% saved)

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5033	3412

prune184.0ms (1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	155	3	158
Fresh	3	4	7
Picked	0	1	1
Done	0	2	2
Total	158	10	168

Error

7.4b

Counts

168 → 10

Compiler

Compiled 2528 to 1434 computations (43.3% saved)

regimes8.8s (49.1%)

Accuracy

Total 5.3b remaining (49.9%)

Threshold costs 0b (0%)

Compiler

Compiled 40754 to 31428 computations (22.9% saved)

bsearch95.0ms (0.5%)

Steps

Iters	Range		Point
8	1.400905478105179e-50	1.4291131054038695e-46	7.843535803153518e-50
9	-9.907615285504395e+32	-7.213344986701438e+25	-9.75764015235097e+32

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	117	66
1	117	66

end2.0ms (0%)

Compiler: Compiled 44 to 32 computations (27.3% saved)

sample1.5s (8.4%)

Algorithm

1×

intervals

Results

275.0ms	1143×	body	2048	valid
260.0ms	5192×	body	128	valid
132.0ms	704×	body	1024	valid
112.0ms	360×	body	4096	valid
56.0ms	404×	body	512	valid
29.0ms	636×	body	128	nan
25.0ms	393×	body	128	invalid
18.0ms	197×	body	256	valid

Compiler

Compiled 297 to 234 computations (21.2% saved)

Details

analyze702.0ms (3.9%)

sample41.0ms (0.2%)

simplify295.0ms (1.6%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite198.0ms (1.1%)

series1.2s (6.7%)

simplify100.0ms (0.6%)

prune173.0ms (1%)

localize11.0ms (0.1%)

rewrite189.0ms (1.1%)

series1.2s (6.7%)

simplify57.0ms (0.3%)

prune183.0ms (1%)

localize15.0ms (0.1%)

rewrite176.0ms (1%)

series803.0ms (4.5%)

simplify65.0ms (0.4%)

prune170.0ms (1%)

localize12.0ms (0.1%)

rewrite200.0ms (1.1%)

series1.4s (8.1%)

simplify59.0ms (0.3%)

prune184.0ms (1%)

regimes8.8s (49.1%)

bsearch95.0ms (0.5%)

simplify4.0ms (0%)

end2.0ms (0%)

sample1.5s (8.4%)

Profiling