Details

analyze1.0s (12.9%)

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)

sample47.0ms (0.6%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
10.0ms	113×	body	128	invalid
3.0ms	75×	body	128	nan

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify315.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (154.0ms)

Iter	Nodes	Cost
0	4740	19
1	4740	19

prune7.0ms (0.1%)

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

Merged error: 0.7b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 a (pow.f64 k m))
0.0b	(+.f64 1 (*.f64 k (+.f64 k 10)))
0.0b	(*.f64 k (+.f64 k 10))
0.7b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite32.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-exp-log_binary64_1480`
18×	`add-sqr-sqrt_binary64_1464`
13×	`add-cbrt-cube_binary64_1478` `*-un-lft-identity_binary64_1442`
11×	`associate-r_binary64_1382` `add-cube-cbrt_binary64_1477`
7×	`prod-exp_binary64_1491`
6×	`associate-l_binary64_1383` `add-log-exp_binary64_1481` `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` `flip3-+_binary64_1445` `flip-+_binary64_1416`
2×	`associate-r/_binary64_1384` `cbrt-undiv_binary64_1476` `pow-exp_binary64_1510` `associate-/r/_binary64_1388` `-commutative_binary64_1373` `distribute-lft-in_binary64_1391` `sqr-pow_binary64_1414` `distribute-rgt-in_binary64_1392` `associate-+r+_binary64_1374` `pow-to-exp_binary64_1511`
1×	`sum-log_binary64_1533` `div-inv_binary64_1439` `clear-num_binary64_1441` `associate-/l*_binary64_1387` `+-commutative_binary64_1372` `pow-prod-down_binary64_1513` `distribute-lft-out_binary64_1393` `frac-2neg_binary64_1453`

Counts

4 → 86

Calls

4 calls:

8.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
7.0ms	(*.f64 k (+.f64 k 10))
6.0ms	(*.f64 a (pow.f64 k m))
4.0ms	(+.f64 1 (*.f64 k (+.f64 k 10)))

series423.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

248.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
102.0ms	(*.f64 a (pow.f64 k m))
54.0ms	(*.f64 k (+.f64 k 10))
20.0ms	(+.f64 1 (*.f64 k (+.f64 k 10)))

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4955	1457
1	4955	1457

prune100.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	95	3	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	95	4	99

Merged error: 0.7b

Counts

99 → 4

Compiler

Compiled 1895 to 1023 computations (46% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.0b	(.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))))))
12.4b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
12.4b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite80.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

120×	`add-sqr-sqrt_binary64_1464`
92×	`times-frac_binary64_1448`
52×	`associate-r_binary64_1382` `sqrt-prod_binary64_1458`
50×	`*-un-lft-identity_binary64_1442`
48×	`add-cube-cbrt_binary64_1477`
30×	`add-exp-log_binary64_1480`
27×	`associate-l_binary64_1383`
24×	`unpow-prod-down_binary64_1521`
22×	`unswap-sqr_binary64_1410`
18×	`add-cbrt-cube_binary64_1478`
12×	`sqr-pow_binary64_1414`
10×	`pow1_binary64_1503` `div-exp_binary64_1493`
9×	`prod-exp_binary64_1491`
8×	`sqrt-div_binary64_1459`
5×	`cbrt-unprod_binary64_1475` `flip3-+_binary64_1445` `flip-+_binary64_1416`
4×	`cbrt-undiv_binary64_1476` `associate-/r/_binary64_1388` `add-log-exp_binary64_1481`
3×	`associate-*r/_binary64_1384`
2×	`sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `pow-exp_binary64_1510` `div-inv_binary64_1439` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `pow1/2_binary64_1522` `pow-to-exp_binary64_1511`
1×	`distribute-lft-out_binary64_1393` `distribute-lft-in_binary64_1391` `frac-times_binary64_1452` `distribute-rgt-in_binary64_1392` `associate-*l/_binary64_1385`

Counts

4 → 170

Calls

4 calls:

43.0ms	(.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))))))
7.0ms	(*.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))))

series357.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

248.0ms	(.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))))))
51.0ms	(*.f64 k (+.f64 k 10))
30.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
28.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

simplify128.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4918	5775
1	4918	5775

prune317.0ms (4.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	182	4	186

Merged error: 0.7b

Counts

186 → 4

Compiler

Compiled 6156 to 4057 computations (34.1% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
6.7b	(cbrt.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10)))))
6.7b	(cbrt.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10)))))
6.7b	(cbrt.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10)))))

rewrite36.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`cbrt-prod_binary64_1473`
14×	`add-exp-log_binary64_1480`
12×	`times-frac_binary64_1448` `add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
9×	`add-cbrt-cube_binary64_1478`
8×	`associate-/r/_binary64_1388`
4×	`div-inv_binary64_1439` `add-log-exp_binary64_1481` `flip3-+_binary64_1445` `flip-+_binary64_1416` `pow1_binary64_1503` `div-exp_binary64_1493`
3×	`associate-/r*_binary64_1386` `cbrt-div_binary64_1474` `pow1/3_binary64_1524` `prod-exp_binary64_1491`
2×	`cbrt-undiv_binary64_1476`
1×	`cbrt-unprod_binary64_1475` `pow-exp_binary64_1510` `clear-num_binary64_1441` `associate-/l*_binary64_1387` `frac-2neg_binary64_1453` `pow-to-exp_binary64_1511`

Counts

4 → 79

Calls

4 calls:

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

series1.6s (20.9%)

Counts

4 → 12

Calls

4 calls:

465.0ms	(cbrt.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10)))))
463.0ms	(cbrt.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10)))))
451.0ms	(cbrt.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10)))))
245.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4969	2866
1	4969	2866

prune196.0ms (2.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	91	4	95

Merged error: 0.7b

Counts

95 → 4

Compiler

Compiled 4957 to 2801 computations (43.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.0b	(pow.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10)))) 3)
0.7b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
13.7b	(cbrt.f64 (pow.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10)))) 3))

rewrite42.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-exp-log_binary64_1480`
24×	`cbrt-prod_binary64_1473`
20×	`add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
18×	`cube-prod_binary64_1470` `add-cube-cbrt_binary64_1477` `unpow-prod-down_binary64_1521`
17×	`add-cbrt-cube_binary64_1478`
15×	`times-frac_binary64_1448`
10×	`associate-/r/_binary64_1388`
8×	`div-exp_binary64_1493`
7×	`pow-exp_binary64_1510` `prod-exp_binary64_1491` `pow1_binary64_1503`
6×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
5×	`div-inv_binary64_1439`
4×	`associate-r_binary64_1382` `cbrt-undiv_binary64_1476` `add-log-exp_binary64_1481`
3×	`associate-/r_binary64_1386` `cbrt-unprod_binary64_1475` `associate-l*_binary64_1383` `pow-unpow_binary64_1519` `rem-cube-cbrt_binary64_1465` `pow-to-exp_binary64_1511`
2×	`associate-*r/_binary64_1384` `cube-mult_binary64_1472` `sqr-pow_binary64_1414` `unpow3_binary64_1508` `cube-div_binary64_1471`
1×	`cbrt-div_binary64_1474` `clear-num_binary64_1441` `associate-/l_binary64_1387` `pow-prod-down_binary64_1513` `-commutative_binary64_1373` `distribute-lft-out_binary64_1393` `frac-2neg_binary64_1453` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `pow1/3_binary64_1524` `unswap-sqr_binary64_1410` `rem-cbrt-cube_binary64_1466` `pow-pow_binary64_1514`

Counts

4 → 124

Calls

4 calls:

9.0ms	(pow.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10)))) 3)
8.0ms	(*.f64 k (+.f64 k 10))
7.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
6.0ms	(cbrt.f64 (pow.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10)))) 3))

series968.0ms (12.5%)

Counts

4 → 12

Calls

4 calls:

418.0ms	(pow.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10)))) 3)
258.0ms	(cbrt.f64 (pow.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10)))) 3))
234.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
57.0ms	(*.f64 k (+.f64 k 10))

simplify83.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5031	3469

prune183.0ms (2.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	136	4	140

Merged error: 0.7b

Counts

140 → 4

Compiler

Compiled 3266 to 1958 computations (40% saved)

regimes118.0ms (1.5%)

Compiler: Compiled 1228 to 918 computations (25.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	19
1	17	19

end0.0ms (0%)

sample1.5s (19.7%)

Algorithm

1×

intervals

Results

545.0ms	8000×	body	128	valid
273.0ms	3157×	body	128	invalid
94.0ms	2058×	body	128	nan

Compiler

Compiled 327 to 246 computations (24.8% saved)

Details

analyze1.0s (12.9%)

sample47.0ms (0.6%)

simplify315.0ms (4.1%)

prune7.0ms (0.1%)

localize9.0ms (0.1%)

rewrite32.0ms (0.4%)

series423.0ms (5.4%)

simplify56.0ms (0.7%)

prune100.0ms (1.3%)

localize12.0ms (0.2%)

rewrite80.0ms (1%)

series357.0ms (4.6%)

simplify128.0ms (1.6%)

prune317.0ms (4.1%)

localize15.0ms (0.2%)

rewrite36.0ms (0.5%)

series1.6s (20.9%)

simplify74.0ms (0.9%)

prune196.0ms (2.5%)

localize12.0ms (0.2%)

rewrite42.0ms (0.5%)

series968.0ms (12.5%)

simplify83.0ms (1.1%)

prune183.0ms (2.4%)

regimes118.0ms (1.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.5s (19.7%)

Profiling