Details

analyze679.0ms (5.4%)

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)

sample45.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	41×	body	2048	valid
8.0ms	154×	body	128	valid
6.0ms	21×	body	4096	valid
5.0ms	23×	body	1024	valid
2.0ms	13×	body	512	valid
1.0ms	16×	body	128	nan
0.0ms	9×	body	128	invalid
0.0ms	4×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify305.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (299.0ms)

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

35.0b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.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)))
0.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
23.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite146.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

34.6b

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)
7.0ms	(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)

series687.0ms (5.4%)

Error

4.8b

Counts

4 → 66

Calls

4 calls:

194.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
154.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
140.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
137.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)

Compiler

Compiled 2966 to 2262 computations (23.7% saved)

simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4963	2873
1	4963	2873

prune153.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	131	9	140
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	132	9	141

Error

4.7b

Counts

141 → 9

Compiler

Compiled 2989 to 1614 computations (46% saved)

localize12.0ms (0.1%)

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)))
0.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
0.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
23.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite941.0ms (7.4%)

Algorithm

1×	rewrite-expression-head

Error

4.7b

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:

28.0ms	(/.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)
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 14021 to 8305 computations (40.8% saved)

series685.0ms (5.4%)

Error

4.7b

Counts

4 → 66

Calls

4 calls:

190.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
156.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
142.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
136.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3220 to 2516 computations (21.9% saved)

simplify213.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

422 → 422

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4954	17180
1	4954	17180

prune845.0ms (6.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	418	4	422
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	420	11	431

Error

4.7b

Counts

431 → 11

Compiler

Compiled 13770 to 7685 computations (44.2% 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)))
0.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
23.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite136.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

4.7b

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

Compiler

Compiled 2366 to 1240 computations (47.6% saved)

series683.0ms (5.4%)

Error

4.7b

Counts

4 → 66

Calls

4 calls:

188.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (/.f64 1/2 a))
165.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
139.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
134.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)

Compiler

Compiled 2966 to 2262 computations (23.7% saved)

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4964	3119
1	4964	3119

prune153.0ms (1.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	149	11	160

Error

4.7b

Counts

160 → 11

Compiler

Compiled 3262 to 1773 computations (45.6% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
0.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
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))))

rewrite132.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

4.7b

Rules

18×	`add-sqr-sqrt_binary64_782`
12×	`*-un-lft-identity_binary64_760`
8×	`add-log-exp_binary64_799` `add-cube-cbrt_binary64_795` `sqrt-prod_binary64_776`
6×	`pow1_binary64_821` `cancel-sign-sub-inv_binary64_726`
4×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `flip3--_binary64_764` `sqrt-div_binary64_777` `flip--_binary64_735` `difference-of-squares_binary64_729`
2×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `diff-log_binary64_852` `sub-neg_binary64_753` `distribute-lft-out--_binary64_712`

Counts

4 → 64

Calls

4 calls:

9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
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	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2732 to 1417 computations (48.1% saved)

series677.0ms (5.4%)

Error

4.7b

Counts

4 → 66

Calls

4 calls:

153.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
148.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
147.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
137.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)

Compiler

Compiled 5802 to 3925 computations (32.4% saved)

simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4965	2568
1	4965	2568

prune199.0ms (1.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	131	10	141

Error

4.7b

Counts

141 → 10

Compiler

Compiled 4596 to 2414 computations (47.5% saved)

regimes2.3s (17.9%)

Accuracy

Total 4.1b remaining (42.7%)

Threshold costs 0b (0%)

Compiler

Compiled 9748 to 7642 computations (21.6% saved)

bsearch68.0ms (0.5%)

Steps

Iters	Range		Point
8	1.7634000375737726e-65	2.445940893891466e-62	2.900768719258459e-65
9	-7.712369641323574e+138	-7.544983696131434e+133	-1.8342337024011525e+138

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	92	51
1	92	51

end0.0ms (0%)

sample3.3s (26.4%)

Algorithm

1×

intervals

Results

302.0ms	1135×	body	2048	valid
288.0ms	5268×	body	128	valid
144.0ms	714×	body	1024	valid
128.0ms	399×	body	4096	valid
47.0ms	320×	body	512	valid
32.0ms	649×	body	128	nan
21.0ms	406×	body	128	invalid
16.0ms	164×	body	256	valid

Compiler

Compiled 2521 to 1969 computations (21.9% saved)

Details

analyze679.0ms (5.4%)

sample45.0ms (0.4%)

simplify305.0ms (2.4%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite146.0ms (1.2%)

series687.0ms (5.4%)

simplify68.0ms (0.5%)

prune153.0ms (1.2%)

localize12.0ms (0.1%)

rewrite941.0ms (7.4%)

series685.0ms (5.4%)

simplify213.0ms (1.7%)

prune845.0ms (6.7%)

localize11.0ms (0.1%)

rewrite136.0ms (1.1%)

series683.0ms (5.4%)

simplify74.0ms (0.6%)

prune153.0ms (1.2%)

localize14.0ms (0.1%)

rewrite132.0ms (1%)

series677.0ms (5.4%)

simplify89.0ms (0.7%)

prune199.0ms (1.6%)

regimes2.3s (17.9%)

bsearch68.0ms (0.5%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.3s (26.4%)

Profiling