Details

analyze2.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	0%	50%	2

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample31.0ms (0.3%)

Algorithm

1×

intervals

Results

13.0ms	75×	body	1024	valid
6.0ms	142×	body	128	valid
4.0ms	29×	body	512	valid
1.0ms	10×	body	256	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify135.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	75	17
1	75	17

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

17.5b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 x 1))
0.1b	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
0.2b	(/.f64 1 (sqrt.f64 x))
2.2b	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite414.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

17.0b

Rules

127×	`add-sqr-sqrt_binary64_1464`
118×	`times-frac_binary64_1448`
117×	`*-un-lft-identity_binary64_1442`
76×	`sqrt-prod_binary64_1458`
56×	`add-cube-cbrt_binary64_1477`
27×	`cancel-sign-sub-inv_binary64_1408`
25×	`difference-of-squares_binary64_1411`
13×	`distribute-lft-out--_binary64_1394` `associate-/r*_binary64_1386`
12×	`add-exp-log_binary64_1480`
11×	`distribute-lft-out_binary64_1393`
9×	`pow1_binary64_1503`
8×	`add-cbrt-cube_binary64_1478`
7×	`div-inv_binary64_1439`
6×	`add-log-exp_binary64_1481` `sqrt-div_binary64_1459` `pow-flip_binary64_1516` `associate-/l*_binary64_1387`
4×	`associate-/r/_binary64_1388` `div-exp_binary64_1493`
3×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460`
2×	`inv-pow_binary64_1527` `1-exp_binary64_1486` `rec-exp_binary64_1492` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441`
1×	`diff-log_binary64_1534` `frac-sub_binary64_1451` `flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417` `rem-sqrt-square_binary64_1455`

Counts

4 → 189

Calls

4 calls:

35.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
12.0ms	(sqrt.f64 (+.f64 x 1))
11.0ms	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
4.0ms	(/.f64 1 (sqrt.f64 x))

Compiler

Compiled 3837 to 2945 computations (23.2% saved)

series119.0ms (1%)

Error

17.3b

Counts

4 → 18

Calls

4 calls:

36.0ms	(/.f64 1 (sqrt.f64 (+.f64 x 1)))
30.0ms	(-.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 (+.f64 x 1))))
18.0ms	(/.f64 1 (sqrt.f64 x))
17.0ms	(sqrt.f64 (+.f64 x 1))

Compiler

Compiled 561 to 462 computations (17.6% saved)

simplify107.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4860	3341
1	4860	3341

prune279.0ms (2.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	196	11	207
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	197	11	208

Error

17.0b

Counts

208 → 11

Compiler

Compiled 3623 to 2702 computations (25.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 x))
0.1b	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
0.2b	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
2.2b	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))

rewrite237.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

16.9b

Rules

46×	`add-sqr-sqrt_binary64_1464`
42×	`sqrt-prod_binary64_1458`
38×	`*-un-lft-identity_binary64_1442`
13×	`add-cube-cbrt_binary64_1477`
12×	`difference-of-squares_binary64_1411`
11×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
10×	`times-frac_binary64_1448` `associate-/l*_binary64_1387`
9×	`pow1_binary64_1503` `distribute-lft-out--_binary64_1394`
7×	`associate-r_binary64_1382`
6×	`add-log-exp_binary64_1481` `cancel-sign-sub-inv_binary64_1408` `sqrt-div_binary64_1459` `associate-l_binary64_1383`
5×	`distribute-lft-out_binary64_1393`
4×	`unswap-sqr_binary64_1410` `associate-*r/_binary64_1384`
3×	`pow1/2_binary64_1522` `pow-prod-down_binary64_1513` `sqrt-pow1_binary64_1460` `flip3-+_binary64_1445` `flip-+_binary64_1416`
2×	`flip3--_binary64_1446` `flip--_binary64_1417` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `associate-/l/_binary64_1389` `associate-/r/_binary64_1388`
1×	`diff-log_binary64_1534` `sub-neg_binary64_1435` `sqrt-unprod_binary64_1462` `-commutative_binary64_1373` `frac-2neg_binary64_1453` `div-sub_binary64_1447` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/r_binary64_1386` `rem-sqrt-square_binary64_1455`

Counts

4 → 113

Calls

4 calls:

34.0ms	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
9.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
9.0ms	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
6.0ms	(sqrt.f64 (+.f64 1 x))

Compiler

Compiled 2641 to 1665 computations (37% saved)

series166.0ms (1.5%)

Error

16.9b

Counts

4 → 16

Calls

4 calls:

63.0ms	(/.f64 (-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
36.0ms	(-.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))
29.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
16.0ms	(sqrt.f64 (+.f64 1 x))

Compiler

Compiled 715 to 535 computations (25.2% saved)

simplify70.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5146	2109

prune155.0ms (1.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	8	2	10
Picked	1	0	1
Done	0	0	0
Total	137	3	140

Error

0.2b

Counts

140 → 3

Compiler

Compiled 2546 to 1627 computations (36.1% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 x))
0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
0.2b	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
0.2b	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))

rewrite414.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

114×	`*-un-lft-identity_binary64_1442`
78×	`times-frac_binary64_1448`
55×	`sqrt-prod_binary64_1458`
49×	`add-sqr-sqrt_binary64_1464`
42×	`distribute-lft-out_binary64_1393`
40×	`add-cube-cbrt_binary64_1477`
32×	`add-exp-log_binary64_1480`
27×	`associate-/l*_binary64_1387`
20×	`add-cbrt-cube_binary64_1478`
14×	`div-exp_binary64_1493`
10×	`pow1_binary64_1503`
8×	`associate-/r/_binary64_1388`
7×	`associate-r_binary64_1382` `cbrt-undiv_binary64_1476` `associate-/r*_binary64_1386`
6×	`flip3-+_binary64_1445` `sqrt-div_binary64_1459` `flip-+_binary64_1416` `associate-l_binary64_1383`
5×	`prod-exp_binary64_1491`
4×	`add-log-exp_binary64_1481` `unswap-sqr_binary64_1410` `associate-*r/_binary64_1384` `div-inv_binary64_1439`
3×	`pow1/2_binary64_1522` `pow-prod-down_binary64_1513` `sqrt-pow1_binary64_1460` `cbrt-unprod_binary64_1475` `1-exp_binary64_1486` `rec-exp_binary64_1492`
2×	`frac-2neg_binary64_1453` `clear-num_binary64_1441`
1×	`sqrt-unprod_binary64_1462` `*-commutative_binary64_1373` `associate-/l/_binary64_1389` `inv-pow_binary64_1527` `pow-flip_binary64_1516` `rem-sqrt-square_binary64_1455`

Counts

4 → 168

Calls

4 calls:

22.0ms	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
10.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))
9.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
3.0ms	(sqrt.f64 (+.f64 1 x))

Compiler

Compiled 4438 to 3078 computations (30.6% saved)

series166.0ms (1.5%)

Error

0.1b

Counts

4 → 16

Calls

4 calls:

69.0ms	(/.f64 (/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x))))
29.0ms	(sqrt.f64 (+.f64 1 x))
26.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 1 x)))
20.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 x)))

Compiler

Compiled 637 to 489 computations (23.2% saved)

simplify108.0ms (1%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4945	3635
1	4945	3635

prune294.0ms (2.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	177	7	184
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	179	8	187

Error

0.0b

Counts

187 → 8

Compiler

Compiled 4232 to 2911 computations (31.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))
0.1b	(/.f64 (/.f64 1 (+.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 1 x)))
0.1b	(/.f64 1 (+.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
0.2b	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))

rewrite710.0ms (6.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

234×	`times-frac_binary64_1448`
159×	`*-un-lft-identity_binary64_1442`
156×	`add-sqr-sqrt_binary64_1464`
119×	`add-cube-cbrt_binary64_1477`
87×	`sqrt-prod_binary64_1458`
49×	`distribute-lft-out_binary64_1393`
21×	`associate-/l*_binary64_1387`
20×	`associate-/r/_binary64_1388`
19×	`add-exp-log_binary64_1480`
13×	`add-cbrt-cube_binary64_1478`
12×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
11×	`associate-/r*_binary64_1386`
10×	`div-inv_binary64_1439`
9×	`pow1_binary64_1503`
8×	`div-exp_binary64_1493`
7×	`associate-r_binary64_1382`
6×	`add-log-exp_binary64_1481` `associate-l_binary64_1383`
4×	`unswap-sqr_binary64_1410` `sqrt-div_binary64_1459` `cbrt-undiv_binary64_1476`
3×	`pow-prod-down_binary64_1513`
2×	`pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `associate-*r/_binary64_1384` `1-exp_binary64_1486` `rec-exp_binary64_1492` `frac-2neg_binary64_1453` `clear-num_binary64_1441`
1×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `sqrt-unprod_binary64_1462` `*-commutative_binary64_1373` `inv-pow_binary64_1527` `pow-flip_binary64_1516` `associate-/l/_binary64_1389` `sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 252

Calls

4 calls:

25.0ms	(/.f64 (/.f64 1 (+.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 1 x)))
20.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
10.0ms	(/.f64 1 (+.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
5.0ms	(+.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 7993 to 5774 computations (27.8% saved)

series154.0ms (1.4%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

59.0ms	(/.f64 (/.f64 1 (+.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (+.f64 1 x)))
40.0ms	(/.f64 1 (+.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))))
23.0ms	(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1)))
21.0ms	(+.f64 x (*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 579 to 483 computations (16.6% saved)

simplify185.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

267 → 267

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4971	9071
1	4971	9071

prune573.0ms (5.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	266	1	267
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	268	7	275

Error

Counts

275 → 7

Compiler

Compiled 7170 to 5108 computations (28.8% saved)

regimes1.1s (10.1%)

Accuracy

Total 0.3b remaining (99.2%)

Threshold costs 0.3b (99.2%)

Compiler

Compiled 8821 to 7059 computations (20% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	25
1	14	25

end0.0ms (0%)

sample5.8s (51.5%)

Algorithm

1×

intervals

Results

459.0ms	2200×	body	1024	valid
220.0ms	4347×	body	128	valid
150.0ms	990×	body	512	valid
52.0ms	463×	body	256	valid

Compiler

Compiled 4369 to 3494 computations (20% saved)

Details

analyze2.0ms (0%)

sample31.0ms (0.3%)

simplify135.0ms (1.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite414.0ms (3.6%)

series119.0ms (1%)

simplify107.0ms (0.9%)

prune279.0ms (2.5%)

localize10.0ms (0.1%)

rewrite237.0ms (2.1%)

series166.0ms (1.5%)

simplify70.0ms (0.6%)

prune155.0ms (1.4%)

localize9.0ms (0.1%)

rewrite414.0ms (3.6%)

series166.0ms (1.5%)

simplify108.0ms (1%)

prune294.0ms (2.6%)

localize10.0ms (0.1%)

rewrite710.0ms (6.3%)

series154.0ms (1.4%)

simplify185.0ms (1.6%)

prune573.0ms (5.1%)

regimes1.1s (10.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample5.8s (51.5%)

Profiling