Details

analyze861.0ms (9.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4879	216
1	4879	216
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
0%	99.9%	0.1%	5
18.7%	81.1%	0.1%	6
26.5%	67.1%	6.4%	7
35.1%	58.5%	6.4%	8
41.3%	49.9%	8.7%	9
46.4%	40.2%	13.4%	10
50.8%	34.2%	15%	11
55.2%	26.7%	18.1%	12
57.4%	22%	20.6%	13
59.8%	17.9%	22.3%	14

Compiler

Compiled 39 to 27 computations (30.8% saved)

sample41.0ms (0.4%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
3.0ms	30×	body	128	nan
1.0ms	9×	body	128	invalid

Compiler

Compiled 77 to 56 computations (27.3% saved)

simplify347.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (341.0ms)

Iter	Nodes	Cost
0	4219	54
1	4219	54

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

20.9b

Counts

2 → 1

Compiler

Compiled 72 to 50 computations (30.6% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
0.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
23.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
23.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite213.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

20.9b

Rules

13×	`add-sqr-sqrt_binary64_100`
11×	`*-un-lft-identity_binary64_78`
8×	`add-log-exp_binary64_117`
7×	`add-cube-cbrt_binary64_113` `sqrt-prod_binary64_94`
6×	`pow1_binary64_139`
4×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `sqrt-div_binary64_95`
3×	`flip3--_binary64_82` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44`
2×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `difference-of-squares_binary64_47`
1×	`diff-log_binary64_170` `sub-neg_binary64_71` `distribute-lft-out--_binary64_30` `sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `distribute-lft-out_binary64_29` `+-commutative_binary64_8`

Counts

4 → 59

Calls

4 calls:

9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2594 to 1526 computations (41.2% saved)

series858.0ms (9.2%)

Error

6.6b

Counts

4 → 62

Calls

4 calls:

223.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
208.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
190.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
176.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 4973 to 3568 computations (28.3% saved)

simplify42.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5040	2107

prune195.0ms (2.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	117	4	121
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	118	4	122

Error

6.6b

Counts

122 → 4

Compiler

Compiled 3315 to 1923 computations (42% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b))
0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
23.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite204.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

6.5b

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-/r*_binary64_22`
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-/r/_binary64_24`
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` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/l*_binary64_23`

Counts

4 → 73

Calls

4 calls:

12.0ms	(/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b))
10.0ms	(-.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 2624 to 1632 computations (37.8% saved)

series971.0ms (10.4%)

Error

6.6b

Counts

4 → 61

Calls

4 calls:

296.0ms	(/.f64 (.f64 c 2) (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b))
239.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
214.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
179.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3468 to 2691 computations (22.4% saved)

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4934	2539
1	4934	2539

prune185.0ms (2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	131	3	134
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	133	5	138

Error

6.5b

Counts

138 → 5

Compiler

Compiled 2750 to 1659 computations (39.7% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 c 2)))
0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
0.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
23.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 765 to 1275 computations (-66.7% saved)

rewrite316.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

6.5b

Rules

54×	`times-frac_binary64_84`
46×	`add-sqr-sqrt_binary64_100`
35×	`*-un-lft-identity_binary64_78`
25×	`add-exp-log_binary64_116` `add-cube-cbrt_binary64_113`
13×	`add-cbrt-cube_binary64_114`
12×	`div-exp_binary64_129`
10×	`difference-of-squares_binary64_47` `associate-/r*_binary64_22`
8×	`add-log-exp_binary64_117` `sqrt-prod_binary64_94`
6×	`pow1_binary64_139`
5×	`distribute-lft-out--_binary64_30` `cbrt-undiv_binary64_112` `div-inv_binary64_75`
4×	`cancel-sign-sub-inv_binary64_44`
3×	`flip3--_binary64_82` `flip--_binary64_53` `prod-exp_binary64_127` `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` `cbrt-unprod_binary64_111` `frac-2neg_binary64_89` `clear-num_binary64_77` `associate-/r/_binary64_24`

Counts

4 → 112

Calls

4 calls:

13.0ms	(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 c 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 4201 to 2589 computations (38.4% saved)

series959.0ms (10.3%)

Error

6.5b

Counts

4 → 61

Calls

4 calls:

279.0ms	(/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 c 2)))
234.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
216.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
187.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3654 to 2877 computations (21.3% saved)

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4961	4097
1	4961	4097

prune221.0ms (2.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	173	5	178

Error

6.5b

Counts

178 → 5

Compiler

Compiled 3390 to 2096 computations (38.2% saved)

localize19.0ms (0.2%)

Compiler: Compiled 765 to 1275 computations (-66.7% saved)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

6.5b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 6.5b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	1	1
Total	5	5

Error

6.5b

Counts

5 → 5

Compiler

Compiled 0 to 0 computations (0% saved)

regimes2.1s (23%)

Accuracy

Total 1.8b remaining (23.8%)

Threshold costs 0b (0%)

Compiler

Compiled 19263 to 14408 computations (25.2% saved)

bsearch12.0ms (0.1%)

Compiler: Compiled 38 to 26 computations (31.6% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	165	456
1	165	456

end14.0ms (0.1%)

Compiler: Compiled 303 to 189 computations (37.6% saved)

sample1.5s (16.1%)

Algorithm

1×

intervals

Results

773.0ms	8000×	body	128	valid
65.0ms	710×	body	128	nan
35.0ms	363×	body	128	invalid

Compiler

Compiled 525 to 355 computations (32.4% saved)

Details

analyze861.0ms (9.2%)

sample41.0ms (0.4%)

simplify347.0ms (3.7%)

prune6.0ms (0.1%)

localize27.0ms (0.3%)

rewrite213.0ms (2.3%)

series858.0ms (9.2%)

simplify42.0ms (0.5%)

prune195.0ms (2.1%)

localize23.0ms (0.2%)

rewrite204.0ms (2.2%)

series971.0ms (10.4%)

simplify66.0ms (0.7%)

prune185.0ms (2%)

localize24.0ms (0.3%)

rewrite316.0ms (3.4%)

series959.0ms (10.3%)

simplify62.0ms (0.7%)

prune221.0ms (2.4%)

localize19.0ms (0.2%)

rewrite1.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune1.0ms (0%)

regimes2.1s (23%)

bsearch12.0ms (0.1%)

simplify7.0ms (0.1%)

end14.0ms (0.1%)

sample1.5s (16.1%)

Profiling