Details

analyze695.0ms (4.8%)

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 (0.3%)

Algorithm

1×

intervals

Results

10.0ms	41×	body	2048	valid
8.0ms	154×	body	128	valid
6.0ms	21×	body	4096	valid
4.0ms	23×	body	1024	valid
2.0ms	13×	body	512	valid
1.0ms	16×	body	128	nan
1.0ms	9×	body	128	invalid
0.0ms	4×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify319.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (312.0ms)

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

34.9b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
0.4b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
23.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite155.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

34.6b

Rules

21×	`add-sqr-sqrt_binary64_100`
14×	`*-un-lft-identity_binary64_78`
9×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
8×	`add-log-exp_binary64_117` `add-cube-cbrt_binary64_113`
6×	`sqrt-prod_binary64_94` `difference-of-squares_binary64_47` `times-frac_binary64_84` `associate-/l*_binary64_23`
5×	`pow1_binary64_139`
4×	`flip3--_binary64_82` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44`
3×	`distribute-lft-out--_binary64_30`
2×	`sqrt-div_binary64_95` `diff-log_binary64_170` `sub-neg_binary64_71` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `associate-/l/_binary64_25`
1×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `frac-2neg_binary64_89` `div-sub_binary64_83` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/r*_binary64_22`

Counts

4 → 74

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series707.0ms (4.9%)

Error

4.8b

Counts

4 → 66

Calls

4 calls:

196.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
157.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
146.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
144.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

Compiler

Compiled 2966 to 2262 computations (23.7% saved)

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5030	2873

prune173.0ms (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 3010 to 1648 computations (45.2% 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))))

rewrite1.1s (7.7%)

Algorithm

1×	rewrite-expression-head

Error

4.7b

Rules

693×	`times-frac_binary64_84`
439×	`add-sqr-sqrt_binary64_100`
364×	`*-un-lft-identity_binary64_78`
290×	`add-cube-cbrt_binary64_113`
74×	`difference-of-squares_binary64_47`
71×	`associate-/r*_binary64_22`
40×	`sqrt-prod_binary64_94`
37×	`distribute-lft-out--_binary64_30`
25×	`add-exp-log_binary64_116`
17×	`div-inv_binary64_75`
15×	`div-exp_binary64_129`
13×	`add-cbrt-cube_binary64_114`
8×	`add-log-exp_binary64_117`
6×	`pow1_binary64_139` `cbrt-undiv_binary64_112`
5×	`associate-/r/_binary64_24`
4×	`cancel-sign-sub-inv_binary64_44`
3×	`flip3--_binary64_82` `flip--_binary64_53` `1-exp_binary64_122` `rec-exp_binary64_128` `associate-/l*_binary64_23`
2×	`sqrt-div_binary64_95` `diff-log_binary64_170` `sub-neg_binary64_71`
1×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `inv-pow_binary64_163` `pow-flip_binary64_152` `frac-2neg_binary64_89` `clear-num_binary64_77`

Counts

4 → 356

Calls

4 calls:

23.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
7.0ms	(-.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)

series718.0ms (4.9%)

Error

4.7b

Counts

4 → 66

Calls

4 calls:

198.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
163.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
148.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
144.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)

Compiler

Compiled 3220 to 2516 computations (21.9% saved)

simplify227.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

422 → 422

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4954	17180
1	4954	17180

prune1.1s (7.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	419	3	422
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	420	11	431

Error

4.7b

Counts

431 → 11

Compiler

Compiled 13789 to 7695 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 (.f64 4 a) c))) b) (/.f64 1/2 a))
0.4b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
23.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite161.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

4.7b

Rules

28×	`add-sqr-sqrt_binary64_100`
18×	`*-un-lft-identity_binary64_78`
14×	`add-cube-cbrt_binary64_113`
13×	`associate-r_binary64_18`
10×	`times-frac_binary64_84`
9×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
8×	`add-log-exp_binary64_117`
7×	`pow1_binary64_139`
6×	`associate-l_binary64_19`
5×	`flip3--_binary64_82` `flip--_binary64_53` `sqrt-prod_binary64_94`
4×	`difference-of-squares_binary64_47` `cancel-sign-sub-inv_binary64_44`
2×	`sqrt-div_binary64_95` `diff-log_binary64_170` `sub-neg_binary64_71` `distribute-lft-out--_binary64_30` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `frac-times_binary64_88` `unswap-sqr_binary64_46` `associate-*l/_binary64_21`
1×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `pow-prod-down_binary64_149` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `associate-r/_binary64_20` `div-inv_binary64_75` `-commutative_binary64_9`

Counts

4 → 83

Calls

4 calls:

18.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2366 to 1383 computations (41.5% saved)

series707.0ms (4.9%)

Error

4.7b

Counts

4 → 66

Calls

4 calls:

195.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
167.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
147.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
140.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

Compiler

Compiled 2966 to 2262 computations (23.7% saved)

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4980	3119
1	4980	3119

prune175.0ms (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 3281 to 1806 computations (45% 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))))

rewrite152.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

4.7b

Rules

18×	`add-sqr-sqrt_binary64_100`
12×	`*-un-lft-identity_binary64_78`
8×	`add-log-exp_binary64_117` `add-cube-cbrt_binary64_113` `sqrt-prod_binary64_94`
6×	`pow1_binary64_139` `cancel-sign-sub-inv_binary64_44`
4×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `flip3--_binary64_82` `sqrt-div_binary64_95` `flip--_binary64_53` `difference-of-squares_binary64_47`
2×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `diff-log_binary64_170` `sub-neg_binary64_71` `distribute-lft-out--_binary64_30`

Counts

4 → 64

Calls

4 calls:

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

Compiler

Compiled 2732 to 1417 computations (48.1% saved)

series718.0ms (4.9%)

Error

4.7b

Counts

4 → 66

Calls

4 calls:

162.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
155.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
153.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
149.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)

Compiler

Compiled 5802 to 3925 computations (32.4% saved)

simplify89.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4965	2568
1	4965	2568

prune214.0ms (1.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	130	11	141

Error

4.7b

Counts

141 → 11

Compiler

Compiled 4596 to 2414 computations (47.5% saved)

regimes2.5s (17.1%)

Accuracy

Total 4.1b remaining (42.8%)

Threshold costs 0b (0%)

Compiler

Compiled 11464 to 8942 computations (22% saved)

bsearch75.0ms (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%)

sample4.3s (29.6%)

Algorithm

1×

intervals

Results

288.0ms	1135×	body	2048	valid
278.0ms	5268×	body	128	valid
151.0ms	714×	body	1024	valid
124.0ms	399×	body	4096	valid
49.0ms	320×	body	512	valid
32.0ms	649×	body	128	nan
21.0ms	406×	body	128	invalid
16.0ms	164×	body	256	valid

Compiler

Compiled 2908 to 2267 computations (22% saved)

Details

analyze695.0ms (4.8%)

sample45.0ms (0.3%)

simplify319.0ms (2.2%)

prune4.0ms (0%)

localize15.0ms (0.1%)

rewrite155.0ms (1.1%)

series707.0ms (4.9%)

simplify55.0ms (0.4%)

prune173.0ms (1.2%)

localize12.0ms (0.1%)

rewrite1.1s (7.7%)

series718.0ms (4.9%)

simplify227.0ms (1.6%)

prune1.1s (7.7%)

localize11.0ms (0.1%)

rewrite161.0ms (1.1%)

series707.0ms (4.9%)

simplify66.0ms (0.5%)

prune175.0ms (1.2%)

localize14.0ms (0.1%)

rewrite152.0ms (1%)

series718.0ms (4.9%)

simplify89.0ms (0.6%)

prune214.0ms (1.5%)

regimes2.5s (17.1%)

bsearch75.0ms (0.5%)

simplify3.0ms (0%)

end0.0ms (0%)

sample4.3s (29.6%)

Profiling