Details

analyze705.0ms (4.4%)

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)

sample40.0ms (0.2%)

Algorithm

1×

intervals

Results

8.0ms	171×	body	128	valid
8.0ms	34×	body	2048	valid
4.0ms	22×	body	1024	valid
3.0ms	12×	body	4096	valid
1.0ms	8×	body	512	valid
1.0ms	9×	body	256	valid
1.0ms	17×	body	128	invalid
1.0ms	17×	body	128	nan

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify297.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (292.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune5.0ms (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

34.2b

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))
1.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
1.8b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
21.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite197.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

33.9b

Rules

21×	`add-sqr-sqrt_binary64_441`
14×	`*-un-lft-identity_binary64_419`
9×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
8×	`add-log-exp_binary64_458` `add-cube-cbrt_binary64_454`
6×	`sqrt-prod_binary64_435` `difference-of-squares_binary64_388` `times-frac_binary64_425` `associate-/l*_binary64_364`
5×	`pow1_binary64_480`
4×	`flip3--_binary64_423` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385`
3×	`distribute-lft-out--_binary64_371`
2×	`sqrt-div_binary64_436` `diff-log_binary64_511` `sub-neg_binary64_412` `div-exp_binary64_470` `cbrt-undiv_binary64_453` `associate-/l/_binary64_366`
1×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `frac-2neg_binary64_430` `div-sub_binary64_424` `clear-num_binary64_418` `div-inv_binary64_416` `associate-/r*_binary64_363`

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))
11.0ms	(-.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 1900 to 985 computations (48.2% saved)

series889.0ms (5.5%)

Error

6.0b

Counts

4 → 62

Calls

4 calls:

284.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
227.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
177.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
168.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2082 to 1709 computations (17.9% saved)

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5462	2580

prune143.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	126	10	136
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	127	10	137

Error

6.0b

Counts

137 → 10

Compiler

Compiled 1841 to 1008 computations (45.2% saved)

localize12.0ms (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)))
1.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
1.8b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
21.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite913.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

Rules

693×	`times-frac_binary64_425`
439×	`add-sqr-sqrt_binary64_441`
364×	`*-un-lft-identity_binary64_419`
290×	`add-cube-cbrt_binary64_454`
74×	`difference-of-squares_binary64_388`
71×	`associate-/r*_binary64_363`
40×	`sqrt-prod_binary64_435`
37×	`distribute-lft-out--_binary64_371`
25×	`add-exp-log_binary64_457`
17×	`div-inv_binary64_416`
15×	`div-exp_binary64_470`
13×	`add-cbrt-cube_binary64_455`
8×	`add-log-exp_binary64_458`
6×	`pow1_binary64_480` `cbrt-undiv_binary64_453`
5×	`associate-/r/_binary64_365`
4×	`cancel-sign-sub-inv_binary64_385`
3×	`flip3--_binary64_423` `flip--_binary64_394` `1-exp_binary64_463` `rec-exp_binary64_469` `associate-/l*_binary64_364`
2×	`sqrt-div_binary64_436` `diff-log_binary64_511` `sub-neg_binary64_412`
1×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432` `inv-pow_binary64_504` `pow-flip_binary64_493` `frac-2neg_binary64_430` `clear-num_binary64_418`

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 11057 to 6512 computations (41.1% saved)

series873.0ms (5.4%)

Error

6.0b

Counts

4 → 62

Calls

4 calls:

294.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
211.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
175.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
164.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2256 to 1883 computations (16.5% saved)

simplify186.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

418 → 418

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5006	16887

prune486.0ms (3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	415	3	418
Fresh	5	4	9
Picked	0	1	1
Done	0	0	0
Total	420	8	428

Error

5.9b

Counts

428 → 8

Compiler

Compiled 7540 to 4251 computations (43.6% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.8b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.8b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
21.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
21.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite137.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

Rules

8×	`add-log-exp_binary64_458` `add-sqr-sqrt_binary64_441`
6×	`pow1_binary64_480` `add-cube-cbrt_binary64_454` `sqrt-prod_binary64_435` `*-un-lft-identity_binary64_419`
4×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `flip3--_binary64_423` `sqrt-div_binary64_436` `flip--_binary64_394`
2×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432` `diff-log_binary64_511` `sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385`

Counts

4 → 54

Calls

4 calls:

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

Compiler

Compiled 2276 to 1229 computations (46% saved)

series867.0ms (5.3%)

Error

5.9b

Counts

4 → 68

Calls

4 calls:

240.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
234.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
180.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
175.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 4192 to 3099 computations (26.1% saved)

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4945	1800
1	4945	1800

prune137.0ms (0.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	122	8	130

Error

5.9b

Counts

130 → 8

Compiler

Compiled 2394 to 1365 computations (43% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.8b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.8b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
21.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
21.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite137.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

Rules

8×	`add-log-exp_binary64_458` `add-sqr-sqrt_binary64_441`
6×	`pow1_binary64_480` `add-cube-cbrt_binary64_454` `sqrt-prod_binary64_435` `*-un-lft-identity_binary64_419`
4×	`add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `flip3--_binary64_423` `sqrt-div_binary64_436` `flip--_binary64_394`
2×	`pow1/2_binary64_499` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432` `diff-log_binary64_511` `sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385`

Counts

4 → 54

Calls

4 calls:

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

Compiler

Compiled 2172 to 1125 computations (48.2% saved)

series871.0ms (5.4%)

Error

5.9b

Counts

4 → 68

Calls

4 calls:

243.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
238.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
181.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
174.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3948 to 2854 computations (27.7% saved)

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4945	1800
1	4945	1800

prune120.0ms (0.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	122	8	130

Error

5.9b

Counts

130 → 8

Compiler

Compiled 2181 to 1173 computations (46.2% saved)

regimes7.2s (44.5%)

Accuracy

Total 4.8b remaining (47.5%)

Threshold costs 0b (0%)

Compiler

Compiled 40270 to 31220 computations (22.5% saved)

bsearch78.0ms (0.5%)

Steps

Iters	Range		Point
6	8.879212643877075e-85	1.2995848864263519e-83	9.77291758546256e-84
8	-1.0304112766147893e+65	-1.083129702115682e+62	-1.020225921157335e+65

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	88	52
1	88	52

end2.0ms (0%)

Compiler: Compiled 35 to 23 computations (34.3% saved)

sample1.7s (10.2%)

Algorithm

1×

intervals

Results

470.0ms	5185×	body	128	valid
269.0ms	1145×	body	2048	valid
152.0ms	760×	body	1024	valid
120.0ms	397×	body	4096	valid
48.0ms	352×	body	512	valid
32.0ms	709×	body	128	nan
18.0ms	385×	body	128	invalid
15.0ms	161×	body	256	valid

Compiler

Compiled 244 to 189 computations (22.5% saved)

Details

analyze705.0ms (4.4%)

sample40.0ms (0.2%)

simplify297.0ms (1.8%)

prune5.0ms (0%)

localize11.0ms (0.1%)

rewrite197.0ms (1.2%)

series889.0ms (5.5%)

simplify65.0ms (0.4%)

prune143.0ms (0.9%)

localize12.0ms (0.1%)

rewrite913.0ms (5.6%)

series873.0ms (5.4%)

simplify186.0ms (1.1%)

prune486.0ms (3%)

localize15.0ms (0.1%)

rewrite137.0ms (0.8%)

series867.0ms (5.3%)

simplify65.0ms (0.4%)

prune137.0ms (0.8%)

localize15.0ms (0.1%)

rewrite137.0ms (0.8%)

series871.0ms (5.4%)

simplify65.0ms (0.4%)

prune120.0ms (0.7%)

regimes7.2s (44.5%)

bsearch78.0ms (0.5%)

simplify3.0ms (0%)

end2.0ms (0%)

sample1.7s (10.2%)

Profiling