Details

analyze968.0ms (18.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.6%	0.1%	6
32.8%	67.1%	0.1%	7
34.3%	65.5%	0.1%	8
38.2%	61.2%	0.5%	9
39.6%	53%	7.4%	10
40.3%	52.4%	7.4%	11
41.6%	49.6%	8.8%	12
42%	39.9%	18.1%	13
42.3%	39.6%	18.2%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample44.0ms (0.8%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
9.0ms	112×	body	128	invalid
3.0ms	62×	body	128	nan

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify203.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	5019	19

prune4.0ms (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

Merged error: 1.9b

Counts

2 → 2

Compiler

Compiled 41 to 34 computations (17.1% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 a (pow.f64 k m))
0.0b	(*.f64 k (+.f64 k 10))
1.9b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-exp-log_binary64_1480`
17×	`add-sqr-sqrt_binary64_1464`
12×	`add-cbrt-cube_binary64_1478` `*-un-lft-identity_binary64_1442`
11×	`associate-r_binary64_1382`
10×	`add-cube-cbrt_binary64_1477`
7×	`prod-exp_binary64_1491`
6×	`associate-l_binary64_1383`
5×	`pow1_binary64_1503`
4×	`div-exp_binary64_1493` `unpow-prod-down_binary64_1521` `unswap-sqr_binary64_1410`
3×	`associate-/r*_binary64_1386` `cbrt-unprod_binary64_1475` `times-frac_binary64_1448` `add-log-exp_binary64_1481`
2×	`associate-r/_binary64_1384` `cbrt-undiv_binary64_1476` `pow-exp_binary64_1510` `associate-/r/_binary64_1388` `-commutative_binary64_1373` `sqr-pow_binary64_1414` `flip3-+_binary64_1445` `flip-+_binary64_1416` `pow-to-exp_binary64_1511`
1×	`div-inv_binary64_1439` `clear-num_binary64_1441` `associate-/l*_binary64_1387` `pow-prod-down_binary64_1513` `distribute-lft-out_binary64_1393` `frac-2neg_binary64_1453` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392`

Counts

3 → 73

Calls

3 calls:

7.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
6.0ms	(*.f64 k (+.f64 k 10))
5.0ms	(*.f64 a (pow.f64 k m))

series223.0ms (4.3%)

Counts

3 → 9

Calls

3 calls:

128.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
64.0ms	(*.f64 a (pow.f64 k m))
30.0ms	(*.f64 k (+.f64 k 10))

simplify57.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4956	1226
1	4956	1226

prune84.0ms (1.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	78	4	82
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	80	4	84

Merged error: 1.9b

Counts

84 → 4

Compiler

Compiled 1612 to 878 computations (45.5% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m))
0.0b	(*.f64 k (+.f64 k 10))
1.9b	(/.f64 a (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m)))

rewrite44.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

180×	`times-frac_binary64_1448`
105×	`add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
103×	`add-cube-cbrt_binary64_1477`
48×	`unpow-prod-down_binary64_1521`
32×	`associate-/r*_binary64_1386`
20×	`add-exp-log_binary64_1480`
16×	`sqr-pow_binary64_1414`
12×	`add-cbrt-cube_binary64_1478`
10×	`div-exp_binary64_1493`
6×	`div-inv_binary64_1439` `associate-/l*_binary64_1387`
5×	`pow1_binary64_1503`
4×	`associate-r_binary64_1382` `cbrt-undiv_binary64_1476`
3×	`associate-l_binary64_1383` `add-log-exp_binary64_1481`
2×	`associate-*r/_binary64_1384` `pow-exp_binary64_1510` `associate-/l/_binary64_1389` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `flip3-+_binary64_1445` `flip-+_binary64_1416` `pow-to-exp_binary64_1511`
1×	`cbrt-unprod_binary64_1475` `associate-/r/_binary64_1388` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `distribute-lft-out_binary64_1393` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `prod-exp_binary64_1491` `unswap-sqr_binary64_1410`

Counts

3 → 190

Calls

3 calls:

10.0ms	(/.f64 a (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m)))
7.0ms	(/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m))
6.0ms	(*.f64 k (+.f64 k 10))

series225.0ms (4.3%)

Counts

3 → 9

Calls

3 calls:

133.0ms	(/.f64 a (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m)))
65.0ms	(/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m))
26.0ms	(*.f64 k (+.f64 k 10))

simplify120.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4954	6225
1	4954	6225

prune238.0ms (4.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	198	1	199
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	198	5	203

Merged error: 1.9b

Counts

203 → 5

Compiler

Compiled 5181 to 2895 computations (44.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
0.1b	(.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
14.9b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
14.9b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite73.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

131×	`add-sqr-sqrt_binary64_1464`
110×	`times-frac_binary64_1448`
64×	`sqrt-prod_binary64_1458`
61×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
48×	`associate-r_binary64_1382`
30×	`add-exp-log_binary64_1480`
24×	`associate-l_binary64_1383` `unpow-prod-down_binary64_1521`
21×	`unswap-sqr_binary64_1410`
18×	`add-cbrt-cube_binary64_1478`
12×	`sqr-pow_binary64_1414`
11×	`div-exp_binary64_1493`
10×	`sqrt-div_binary64_1459`
8×	`prod-exp_binary64_1491` `pow1_binary64_1503`
6×	`associate-/r*_binary64_1386` `associate-/r/_binary64_1388`
5×	`cbrt-undiv_binary64_1476` `flip3-+_binary64_1445` `flip-+_binary64_1416`
4×	`cbrt-unprod_binary64_1475` `add-log-exp_binary64_1481`
3×	`div-inv_binary64_1439` `associate-/l*_binary64_1387`
2×	`sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `pow-exp_binary64_1510` `pow1/2_binary64_1522` `pow-to-exp_binary64_1511`
1×	`associate-r/_binary64_1384` `clear-num_binary64_1441` `pow-prod-down_binary64_1513` `-commutative_binary64_1373` `frac-2neg_binary64_1453` `frac-times_binary64_1452` `associate-*l/_binary64_1385`

Counts

4 → 188

Calls

4 calls:

37.0ms	(.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
6.0ms	(/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

series228.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

137.0ms	(.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
63.0ms	(/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
14.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
13.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

simplify135.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4926	6633
1	4926	6633

prune356.0ms (6.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	200	5	205

Merged error: 1.9b

Counts

205 → 5

Compiler

Compiled 6895 to 4559 computations (33.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 a (pow.f64 k m))
0.2b	(*.f64 (+.f64 k 10) (sqrt.f64 k))
0.2b	(.f64 (sqrt.f64 k) (.f64 (+.f64 k 10) (sqrt.f64 k)))
1.9b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 (sqrt.f64 k) (*.f64 (+.f64 k 10) (sqrt.f64 k)))))

rewrite42.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64_1480`
23×	`add-sqr-sqrt_binary64_1464`
18×	`add-cbrt-cube_binary64_1478`
16×	`*-un-lft-identity_binary64_1442`
14×	`associate-r_binary64_1382` `add-cube-cbrt_binary64_1477`
13×	`associate-l_binary64_1383`
11×	`pow1_binary64_1503`
10×	`prod-exp_binary64_1491`
7×	`sqrt-prod_binary64_1458`
6×	`cbrt-unprod_binary64_1475`
5×	`unswap-sqr_binary64_1410`
4×	`pow-prod-down_binary64_1513` `add-log-exp_binary64_1481` `associate-*l/_binary64_1385` `div-exp_binary64_1493` `unpow-prod-down_binary64_1521`
3×	`associate-/r_binary64_1386` `times-frac_binary64_1448` `-commutative_binary64_1373` `flip3-+_binary64_1445` `flip-+_binary64_1416`
2×	`associate-*r/_binary64_1384` `cbrt-undiv_binary64_1476` `pow-exp_binary64_1510` `associate-/r/_binary64_1388` `sqr-pow_binary64_1414` `pow-to-exp_binary64_1511`
1×	`div-inv_binary64_1439` `clear-num_binary64_1441` `associate-/l*_binary64_1387` `distribute-lft-out_binary64_1393` `frac-2neg_binary64_1453`

Counts

4 → 98

Calls

4 calls:

10.0ms	(.f64 (sqrt.f64 k) (.f64 (+.f64 k 10) (sqrt.f64 k)))
8.0ms	(*.f64 (+.f64 k 10) (sqrt.f64 k))
7.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 (sqrt.f64 k) (*.f64 (+.f64 k 10) (sqrt.f64 k)))))
5.0ms	(*.f64 a (pow.f64 k m))

series340.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

237.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 (sqrt.f64 k) (*.f64 (+.f64 k 10) (sqrt.f64 k)))))
58.0ms	(*.f64 a (pow.f64 k m))
23.0ms	(.f64 (sqrt.f64 k) (.f64 (+.f64 k 10) (sqrt.f64 k)))
21.0ms	(*.f64 (+.f64 k 10) (sqrt.f64 k))

simplify73.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4948	1864
1	4948	1864

prune103.0ms (2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	110	5	115

Merged error: 1.9b

Counts

115 → 5

Compiler

Compiled 2477 to 1240 computations (49.9% saved)

regimes112.0ms (2.2%)

Compiler: Compiled 1216 to 970 computations (20.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	19
1	16	19

end0.0ms (0%)

sample1.5s (27.9%)

Algorithm

1×

intervals

Results

494.0ms	8000×	body	128	valid
260.0ms	3123×	body	128	invalid
89.0ms	1932×	body	128	nan

Compiler

Compiled 324 to 259 computations (20.1% saved)

Details

analyze968.0ms (18.6%)

sample44.0ms (0.8%)

simplify203.0ms (3.9%)

prune4.0ms (0.1%)

localize12.0ms (0.2%)

rewrite23.0ms (0.4%)

series223.0ms (4.3%)

simplify57.0ms (1.1%)

prune84.0ms (1.6%)

localize9.0ms (0.2%)

rewrite44.0ms (0.8%)

series225.0ms (4.3%)

simplify120.0ms (2.3%)

prune238.0ms (4.6%)

localize11.0ms (0.2%)

rewrite73.0ms (1.4%)

series228.0ms (4.4%)

simplify135.0ms (2.6%)

prune356.0ms (6.9%)

localize11.0ms (0.2%)

rewrite42.0ms (0.8%)

series340.0ms (6.5%)

simplify73.0ms (1.4%)

prune103.0ms (2%)

regimes112.0ms (2.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.5s (27.9%)

Profiling