Details

analyze499.0ms (13%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4922	14
1	4922	14
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	50%	25%	4
25%	37.5%	37.5%	5
25%	31.2%	43.8%	6
25%	28.1%	46.9%	7
25%	26.5%	48.5%	8
25%	25.8%	49.2%	9
25%	25.4%	49.6%	10
25%	25.2%	49.8%	11
25%	25.1%	49.9%	12
25%	25%	50%	13
25%	25%	50%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample62.0ms (1.6%)

Algorithm

1×

intervals

Results

23.0ms	129×	body	2048	nan
11.0ms	256×	body	128	valid
8.0ms	66×	body	1024	nan
3.0ms	36×	body	512	nan
1.0ms	11×	body	256	nan
1.0ms	21×	body	128	nan

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify151.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	4922	14
1	4922	14

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

32.9b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
0.0b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
0.0b	(-.f64 (*.f64 x x) 1)
30.6b	(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite83.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`*-un-lft-identity_binary64_1442`
10×	`add-sqr-sqrt_binary64_1464`
8×	`add-log-exp_binary64_1481`
7×	`add-cube-cbrt_binary64_1477`
6×	`pow1_binary64_1503` `sqrt-prod_binary64_1458`
5×	`add-exp-log_binary64_1480`
4×	`add-cbrt-cube_binary64_1478` `difference-of-squares_binary64_1411` `log-prod_binary64_1528`
3×	`cancel-sign-sub-inv_binary64_1408`
2×	`flip3--_binary64_1446` `sqrt-div_binary64_1459` `flip--_binary64_1417` `difference-of-sqr-1_binary64_1412` `flip3-+_binary64_1445` `log-div_binary64_1529` `flip-+_binary64_1416` `distribute-lft-out_binary64_1393`
1×	`pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `diff-log_binary64_1534` `sub-neg_binary64_1435` `log-pow_binary64_1531` `rem-log-exp_binary64_1483` `sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 62

Calls

4 calls:

7.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
7.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
5.0ms	(sqrt.f64 (-.f64 (*.f64 x x) 1))
4.0ms	(-.f64 (*.f64 x x) 1)

Compiler

Compiled 1063 to 655 computations (38.4% saved)

series173.0ms (4.5%)

Error

0.0b

Counts

4 → 25

Calls

4 calls:

52.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
35.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
34.0ms	(-.f64 (*.f64 x x) 1)
30.0ms	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 653 to 564 computations (13.6% saved)

simplify65.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5065	1127

prune69.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	3	88

Error

Counts

88 → 3

Compiler

Compiled 1121 to 719 computations (35.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (-.f64 x (/.f64 1/2 x)))
0.0b	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))

rewrite60.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`*-un-lft-identity_binary64_1442`
14×	`associate-+r+_binary64_1374`
13×	`cancel-sign-sub-inv_binary64_1408`
10×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464`
9×	`times-frac_binary64_1448`
7×	`add-log-exp_binary64_1481`
5×	`log-prod_binary64_1528`
4×	`distribute-lft-out_binary64_1393`
3×	`pow1_binary64_1503` `add-exp-log_binary64_1480`
2×	`flip3-+_binary64_1445` `log-div_binary64_1529` `flip-+_binary64_1416` `distribute-lft-out--_binary64_1394` `add-cbrt-cube_binary64_1478` `sum-log_binary64_1533`
1×	`log-pow_binary64_1531` `rem-log-exp_binary64_1483` `diff-log_binary64_1534` `associate-+r-_binary64_1376` `sub-neg_binary64_1435` `div-inv_binary64_1439` `+-commutative_binary64_1372`

Counts

2 → 45

Calls

2 calls:

10.0ms	(+.f64 x (-.f64 x (/.f64 1/2 x)))
8.0ms	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))

Compiler

Compiled 729 to 480 computations (34.2% saved)

series87.0ms (2.3%)

Error

Counts

2 → 10

Calls

2 calls:

51.0ms	(+.f64 x (-.f64 x (/.f64 1/2 x)))
31.0ms	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))

Compiler

Compiled 231 to 207 computations (10.4% saved)

simplify56.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4787	626
1	4787	626

prune43.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	55	3	58

Error

Counts

58 → 3

Compiler

Compiled 722 to 454 computations (37.1% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 -1 (*.f64 x x))
0.0b	(pow.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))) 3)
30.6b	(sqrt.f64 (+.f64 -1 (*.f64 x x)))
38.2b	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))) 3))

rewrite126.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`cbrt-prod_binary64_1473`
16×	`add-sqr-sqrt_binary64_1464`
15×	`add-cube-cbrt_binary64_1477` `sqrt-prod_binary64_1458` `*-un-lft-identity_binary64_1442`
12×	`unpow-prod-down_binary64_1521` `cube-prod_binary64_1470`
7×	`pow1_binary64_1503`
6×	`add-log-exp_binary64_1481` `sqrt-div_binary64_1459`
5×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
4×	`flip3-+_binary64_1445` `cube-div_binary64_1471` `flip-+_binary64_1416`
3×	`pow-unpow_binary64_1519` `pow-pow_binary64_1514`
2×	`cbrt-div_binary64_1474` `unpow3_binary64_1508` `cube-mult_binary64_1472` `sqr-pow_binary64_1414` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460`
1×	`pow1/3_binary64_1524` `rem-cbrt-cube_binary64_1466` `rem-sqrt-square_binary64_1455` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `rem-cube-cbrt_binary64_1465` `sqrt-pow2_binary64_1461` `sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 89

Calls

4 calls:

5.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))) 3))
5.0ms	(pow.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))) 3)
3.0ms	(+.f64 -1 (*.f64 x x))
3.0ms	(sqrt.f64 (+.f64 -1 (*.f64 x x)))

Compiler

Compiled 1904 to 1297 computations (31.9% saved)

series157.0ms (4.1%)

Error

Counts

4 → 27

Calls

4 calls:

41.0ms	(pow.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))) 3)
36.0ms	(+.f64 -1 (*.f64 x x))
30.0ms	(cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))) 3))
28.0ms	(sqrt.f64 (+.f64 -1 (*.f64 x x)))

Compiler

Compiled 802 to 673 computations (16.1% saved)

simplify52.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5200	1468

prune101.0ms (2.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	116	3	119

Error

Counts

119 → 3

Compiler

Compiled 1743 to 1185 computations (32% saved)

regimes50.0ms (1.3%)

Accuracy

Total 0.0b remaining (5.8%)

Threshold costs 0.0b (5.8%)

Compiler

Compiled 306 to 244 computations (20.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	19
1	23	19

end0.0ms (0%)

sample2.0s (51.4%)

Algorithm

1×

intervals

Results

623.0ms	3864×	body	2048	nan
340.0ms	8000×	body	128	valid
260.0ms	2069×	body	1024	nan
97.0ms	1031×	body	512	nan
32.0ms	523×	body	256	nan
16.0ms	488×	body	128	nan
1.0ms	7×	body	4096	nan

Compiler

Compiled 112 to 91 computations (18.8% saved)

Details

analyze499.0ms (13%)

sample62.0ms (1.6%)

simplify151.0ms (3.9%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite83.0ms (2.2%)

series173.0ms (4.5%)

simplify65.0ms (1.7%)

prune69.0ms (1.8%)

localize6.0ms (0.2%)

rewrite60.0ms (1.6%)

series87.0ms (2.3%)

simplify56.0ms (1.5%)

prune43.0ms (1.1%)

localize10.0ms (0.3%)

rewrite126.0ms (3.3%)

series157.0ms (4.1%)

simplify52.0ms (1.4%)

prune101.0ms (2.6%)

regimes50.0ms (1.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.0s (51.4%)

Profiling