Details

analyze685.0ms (2.9%)

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)

sample42.0ms (0.2%)

Algorithm

1×

intervals

Results

8.0ms	36×	body	2048	valid
8.0ms	166×	body	128	valid
6.0ms	29×	body	1024	valid
3.0ms	11×	body	4096	valid
1.0ms	10×	body	512	valid
1.0ms	22×	body	128	nan
1.0ms	16×	body	128	invalid
0.0ms	4×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify322.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (316.0ms)

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

34.3b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
0.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
1.4b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
23.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite157.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

34.1b

Rules

21×	`add-sqr-sqrt_binary64_1464`
14×	`*-un-lft-identity_binary64_1442`
9×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
8×	`add-log-exp_binary64_1481` `add-cube-cbrt_binary64_1477`
6×	`sqrt-prod_binary64_1458` `difference-of-squares_binary64_1411` `times-frac_binary64_1448` `associate-/l*_binary64_1387`
5×	`pow1_binary64_1503`
4×	`flip3--_binary64_1446` `flip--_binary64_1417` `cancel-sign-sub-inv_binary64_1408`
3×	`distribute-lft-out--_binary64_1394`
2×	`sqrt-div_binary64_1459` `diff-log_binary64_1534` `sub-neg_binary64_1435` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `associate-/l/_binary64_1389`
1×	`pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `frac-2neg_binary64_1453` `div-sub_binary64_1447` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/r*_binary64_1386`

Counts

4 → 74

Calls

4 calls:

16.0ms	(/.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	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series833.0ms (3.5%)

Error

6.0b

Counts

4 → 84

Calls

4 calls:

241.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
186.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
158.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
152.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3985 to 3009 computations (24.5% saved)

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5099	3596

prune182.0ms (0.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	147	11	158
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	148	11	159

Error

5.9b

Counts

159 → 11

Compiler

Compiled 3614 to 1946 computations (46.2% saved)

localize13.0ms (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)))
0.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
1.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
23.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite1.1s (4.5%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

Rules

693×	`times-frac_binary64_1448`
439×	`add-sqr-sqrt_binary64_1464`
364×	`*-un-lft-identity_binary64_1442`
290×	`add-cube-cbrt_binary64_1477`
74×	`difference-of-squares_binary64_1411`
71×	`associate-/r*_binary64_1386`
40×	`sqrt-prod_binary64_1458`
37×	`distribute-lft-out--_binary64_1394`
25×	`add-exp-log_binary64_1480`
17×	`div-inv_binary64_1439`
15×	`div-exp_binary64_1493`
13×	`add-cbrt-cube_binary64_1478`
8×	`add-log-exp_binary64_1481`
6×	`pow1_binary64_1503` `cbrt-undiv_binary64_1476`
5×	`associate-/r/_binary64_1388`
4×	`cancel-sign-sub-inv_binary64_1408`
3×	`flip3--_binary64_1446` `flip--_binary64_1417` `1-exp_binary64_1486` `rec-exp_binary64_1492` `associate-/l*_binary64_1387`
2×	`sqrt-div_binary64_1459` `diff-log_binary64_1534` `sub-neg_binary64_1435`
1×	`pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `inv-pow_binary64_1527` `pow-flip_binary64_1516` `frac-2neg_binary64_1453` `clear-num_binary64_1441`

Counts

4 → 356

Calls

4 calls:

27.0ms	(/.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)
5.0ms	(-.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)

series837.0ms (3.6%)

Error

5.9b

Counts

4 → 84

Calls

4 calls:

242.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
190.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
166.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
150.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 4277 to 3301 computations (22.8% saved)

simplify212.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

440 → 440

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4970	18113
1	4970	18113

prune924.0ms (3.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	437	3	440
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	439	12	451

Error

5.9b

Counts

451 → 12

Compiler

Compiled 14490 to 8117 computations (44% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
0.2b	(/.f64 (/.f64 1 a) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
1.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
23.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite5.9s (25.3%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

Rules

3251×	`times-frac_binary64_1448`
1761×	`add-sqr-sqrt_binary64_1464`
1506×	`*-un-lft-identity_binary64_1442`
1252×	`add-cube-cbrt_binary64_1477`
254×	`difference-of-squares_binary64_1411`
130×	`sqrt-prod_binary64_1458`
129×	`div-inv_binary64_1439`
127×	`distribute-lft-out--_binary64_1394`
87×	`add-exp-log_binary64_1480`
71×	`associate-/r*_binary64_1386`
70×	`div-exp_binary64_1493`
25×	`add-cbrt-cube_binary64_1478`
15×	`1-exp_binary64_1486` `rec-exp_binary64_1492` `cbrt-undiv_binary64_1476` `associate-/r/_binary64_1388`
13×	`associate-/l*_binary64_1387`
8×	`add-log-exp_binary64_1481`
5×	`pow1_binary64_1503`
4×	`cancel-sign-sub-inv_binary64_1408`
3×	`flip3--_binary64_1446` `flip--_binary64_1417`
2×	`sqrt-div_binary64_1459` `diff-log_binary64_1534` `sub-neg_binary64_1435`
1×	`pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `associate-/l/_binary64_1389`

Counts

4 → 1097

Calls

4 calls:

49.0ms	(/.f64 (/.f64 1 a) (/.f64 1 (/.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)
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 50764 to 33343 computations (34.3% saved)

series855.0ms (3.6%)

Error

5.9b

Counts

4 → 84

Calls

4 calls:

236.0ms	(/.f64 (/.f64 1 a) (/.f64 1 (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
198.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
165.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
158.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 4569 to 3593 computations (21.4% saved)

simplify546.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1181 → 1181

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5286	64946

prune4.1s (17.6%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	1180	1	1181
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	1180	13	1193

Error

5.9b

Counts

1193 → 13

Compiler

Compiled 45282 to 27256 computations (39.8% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.4b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
1.4b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
23.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
23.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite108.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

Rules

8×	`add-log-exp_binary64_1481` `add-sqr-sqrt_binary64_1464`
6×	`pow1_binary64_1503` `add-cube-cbrt_binary64_1477` `sqrt-prod_binary64_1458` `*-un-lft-identity_binary64_1442`
4×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `flip3--_binary64_1446` `sqrt-div_binary64_1459` `flip--_binary64_1417`
2×	`pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `diff-log_binary64_1534` `sub-neg_binary64_1435` `cancel-sign-sub-inv_binary64_1408`

Counts

4 → 54

Calls

4 calls:

5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2260 to 1248 computations (44.8% saved)

series767.0ms (3.3%)

Error

5.9b

Counts

4 → 74

Calls

4 calls:

175.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
174.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
165.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
165.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Compiler

Compiled 6002 to 4137 computations (31.1% saved)

simplify86.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4931	1992
1	4931	1992

prune179.0ms (0.8%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	128	13	141

Error

5.9b

Counts

141 → 13

Compiler

Compiled 4296 to 2325 computations (45.9% saved)

regimes1.8s (7.6%)

Accuracy

Total 4.9b remaining (46.6%)

Threshold costs 0b (0%)

Compiler

Compiled 11692 to 9078 computations (22.4% saved)

bsearch60.0ms (0.3%)

Steps

Iters	Range		Point
11	5.26263349037993e-143	3.385126611370661e-120	3.040912001416064e-120
3	-2.6041266003997847e+86	-2.2314864917519052e+86	-2.564890987965728e+86

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	93	52
1	93	52

end0.0ms (0%)

sample3.7s (15.7%)

Algorithm

1×

intervals

Results

273.0ms	5221×	body	128	valid
272.0ms	1100×	body	2048	valid
138.0ms	715×	body	1024	valid
130.0ms	415×	body	4096	valid
56.0ms	354×	body	512	valid
32.0ms	626×	body	128	nan
21.0ms	358×	body	128	invalid
19.0ms	195×	body	256	valid

Compiler

Compiled 2966 to 2299 computations (22.5% saved)

Details

analyze685.0ms (2.9%)

sample42.0ms (0.2%)

simplify322.0ms (1.4%)

prune4.0ms (0%)

localize11.0ms (0%)

rewrite157.0ms (0.7%)

series833.0ms (3.5%)

simplify60.0ms (0.3%)

prune182.0ms (0.8%)

localize13.0ms (0.1%)

rewrite1.1s (4.5%)

series837.0ms (3.6%)

simplify212.0ms (0.9%)

prune924.0ms (3.9%)

localize14.0ms (0.1%)

rewrite5.9s (25.3%)

series855.0ms (3.6%)

simplify546.0ms (2.3%)

prune4.1s (17.6%)

localize20.0ms (0.1%)

rewrite108.0ms (0.5%)

series767.0ms (3.3%)

simplify86.0ms (0.4%)

prune179.0ms (0.8%)

regimes1.8s (7.6%)

bsearch60.0ms (0.3%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.7s (15.7%)

Profiling