Details

analyze954.0ms (10.6%)

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)

sample37.0ms (0.4%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
6.0ms	77×	body	128	invalid
2.0ms	48×	body	128	nan

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify206.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	5019	19

prune3.0ms (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

1.0b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
1.0b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-exp-log_binary64_1480`
9×	`add-cbrt-cube_binary64_1478`
8×	`add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
6×	`add-cube-cbrt_binary64_1477`
4×	`associate-r_binary64_1382` `prod-exp_binary64_1491` `pow1_binary64_1503` `div-exp_binary64_1493`
3×	`associate-/r_binary64_1386` `times-frac_binary64_1448` `associate-l*_binary64_1383`
2×	`associate-*r/_binary64_1384` `cbrt-undiv_binary64_1476` `cbrt-unprod_binary64_1475` `associate-/r/_binary64_1388` `add-log-exp_binary64_1481` `flip3-+_binary64_1445` `flip-+_binary64_1416`
1×	`pow-exp_binary64_1510` `div-inv_binary64_1439` `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` `pow-to-exp_binary64_1511` `unswap-sqr_binary64_1410`

Counts

2 → 48

Calls

2 calls:

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

series340.0ms (3.8%)

Counts

2 → 24

Calls

2 calls:

298.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
41.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 742 to 604 computations (18.6% saved)

simplify42.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5484	1413

prune80.0ms (0.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	5	73

Error

0.9b

Counts

73 → 5

Compiler

Compiled 1467 to 835 computations (43.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
0.0b	(/.f64 (.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
13.5b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
13.5b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite35.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-exp-log_binary64_1480` `add-sqr-sqrt_binary64_1464`
25×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
24×	`times-frac_binary64_1448` `sqrt-prod_binary64_1458`
15×	`add-cbrt-cube_binary64_1478`
12×	`associate-/r*_binary64_1386`
11×	`div-exp_binary64_1493`
8×	`sqrt-div_binary64_1459`
6×	`prod-exp_binary64_1491` `pow1_binary64_1503`
5×	`cbrt-undiv_binary64_1476`
4×	`associate-/r/_binary64_1388` `associate-/l*_binary64_1387` `add-log-exp_binary64_1481` `flip3-+_binary64_1445` `flip-+_binary64_1416`
2×	`sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `cbrt-unprod_binary64_1475` `pow-exp_binary64_1510` `div-inv_binary64_1439` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `pow1/2_binary64_1522` `pow-to-exp_binary64_1511`
1×	`associate-/l/_binary64_1389` `associate-*l/_binary64_1385`

Counts

4 → 107

Calls

4 calls:

13.0ms	(/.f64 (.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (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))))

series521.0ms (5.8%)

Counts

4 → 53

Calls

4 calls:

306.0ms	(/.f64 (.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
149.0ms	(/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
36.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
31.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 1619 to 1325 computations (18.2% saved)

simplify96.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4948	3604
1	4948	3604

prune212.0ms (2.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	160	5	165

Error

0.9b

Counts

165 → 5

Compiler

Compiled 4391 to 2855 computations (35% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.4b	(/.f64 1 (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m))))
1.0b	(/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m)))

rewrite34.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

53×	`add-exp-log_binary64_1480`
36×	`times-frac_binary64_1448`
26×	`div-exp_binary64_1493`
25×	`add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
23×	`add-cube-cbrt_binary64_1477`
19×	`add-cbrt-cube_binary64_1478`
13×	`prod-exp_binary64_1491`
8×	`associate-/r*_binary64_1386`
7×	`cbrt-undiv_binary64_1476`
6×	`div-inv_binary64_1439` `associate-/l*_binary64_1387` `pow1_binary64_1503`
5×	`1-exp_binary64_1486` `rec-exp_binary64_1492`
4×	`associate-r_binary64_1382` `pow-exp_binary64_1510` `pow-to-exp_binary64_1511`
3×	`cbrt-unprod_binary64_1475` `associate-l_binary64_1383` `add-log-exp_binary64_1481`
2×	`associate-*r/_binary64_1384` `associate-/l/_binary64_1389` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `flip3-+_binary64_1445` `flip-+_binary64_1416`
1×	`inv-pow_binary64_1527` `associate-/r/_binary64_1388` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `pow-flip_binary64_1516` `distribute-lft-out_binary64_1393` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `unswap-sqr_binary64_1410`

Counts

3 → 110

Calls

3 calls:

11.0ms	(/.f64 1 (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m))))
8.0ms	(/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m)))
6.0ms	(*.f64 k (+.f64 k 10))

series816.0ms (9.1%)

Counts

3 → 40

Calls

3 calls:

446.0ms	(/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m)))
331.0ms	(/.f64 1 (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m))))
38.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 1499 to 1190 computations (20.6% saved)

simplify101.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4942	3646
1	4942	3646

prune152.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	151	4	155

Error

0.0b

Counts

155 → 4

Compiler

Compiled 3272 to 1884 computations (42.4% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 k (*.f64 a (pow.f64 k m)))
0.0b	(+.f64 (/.f64 (pow.f64 k (neg.f64 m)) a) (.f64 (/.f64 k (.f64 a (pow.f64 k m))) (+.f64 k 10)))
0.1b	(.f64 (/.f64 k (.f64 a (pow.f64 k m))) (+.f64 k 10))
0.4b	(/.f64 1 (+.f64 (/.f64 (pow.f64 k (neg.f64 m)) a) (.f64 (/.f64 k (.f64 a (pow.f64 k m))) (+.f64 k 10))))

rewrite54.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-exp-log_binary64_1480`
20×	`add-cbrt-cube_binary64_1478`
19×	`add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
17×	`add-cube-cbrt_binary64_1477`
15×	`times-frac_binary64_1448`
11×	`prod-exp_binary64_1491`
10×	`frac-add_binary64_1450` `div-exp_binary64_1493`
8×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
7×	`associate-/r/_binary64_1388` `associate-l_binary64_1383` `pow1_binary64_1503`
6×	`associate-r/_binary64_1384` `associate-/l_binary64_1387` `add-log-exp_binary64_1481` `frac-times_binary64_1452`
5×	`cbrt-undiv_binary64_1476` `cbrt-unprod_binary64_1475`
4×	`associate-r_binary64_1382` `associate-/r*_binary64_1386`
3×	`div-inv_binary64_1439` `associate-*l/_binary64_1385`
2×	`pow-exp_binary64_1510` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `associate-+r+_binary64_1374` `pow-to-exp_binary64_1511`
1×	`inv-pow_binary64_1527` `sum-log_binary64_1533` `1-exp_binary64_1486` `+-commutative_binary64_1372` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `rec-exp_binary64_1492` `pow-flip_binary64_1516` `distribute-lft-out_binary64_1393` `unswap-sqr_binary64_1410`

Counts

4 → 115

Calls

4 calls:

15.0ms	(/.f64 1 (+.f64 (/.f64 (pow.f64 k (neg.f64 m)) a) (.f64 (/.f64 k (.f64 a (pow.f64 k m))) (+.f64 k 10))))
12.0ms	(+.f64 (/.f64 (pow.f64 k (neg.f64 m)) a) (.f64 (/.f64 k (.f64 a (pow.f64 k m))) (+.f64 k 10)))
11.0ms	(.f64 (/.f64 k (.f64 a (pow.f64 k m))) (+.f64 k 10))
5.0ms	(/.f64 k (*.f64 a (pow.f64 k m)))

series3.0s (33.5%)

Counts

4 → 59

Calls

4 calls:

1.5s	(/.f64 1 (+.f64 (/.f64 (pow.f64 k (neg.f64 m)) a) (.f64 (/.f64 k (.f64 a (pow.f64 k m))) (+.f64 k 10))))
823.0ms	(+.f64 (/.f64 (pow.f64 k (neg.f64 m)) a) (.f64 (/.f64 k (.f64 a (pow.f64 k m))) (+.f64 k 10)))
361.0ms	(.f64 (/.f64 k (.f64 a (pow.f64 k m))) (+.f64 k 10))
306.0ms	(/.f64 k (*.f64 a (pow.f64 k m)))

Compiler

Compiled 4215 to 3033 computations (28% saved)

simplify105.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4976	6119
1	4976	6119

prune191.0ms (2.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	173	1	174
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	173	5	178

Error

Counts

178 → 5

Compiler

Compiled 5628 to 2175 computations (61.4% saved)

regimes212.0ms (2.4%)

Accuracy

Total 2.1b remaining (96.1%)

Threshold costs 0b (0%)

Compiler

Compiled 2688 to 1934 computations (28.1% 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%)

sample1.7s (19.3%)

Algorithm

1×

intervals

Results

499.0ms	8000×	body	128	valid
264.0ms	3233×	body	128	invalid
87.0ms	2002×	body	128	nan

Compiler

Compiled 692 to 500 computations (27.7% saved)

Details

analyze954.0ms (10.6%)

sample37.0ms (0.4%)

simplify206.0ms (2.3%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite17.0ms (0.2%)

series340.0ms (3.8%)

simplify42.0ms (0.5%)

prune80.0ms (0.9%)

localize11.0ms (0.1%)

rewrite35.0ms (0.4%)

series521.0ms (5.8%)

simplify96.0ms (1.1%)

prune212.0ms (2.4%)

localize9.0ms (0.1%)

rewrite34.0ms (0.4%)

series816.0ms (9.1%)

simplify101.0ms (1.1%)

prune152.0ms (1.7%)

localize14.0ms (0.2%)

rewrite54.0ms (0.6%)

series3.0s (33.5%)

simplify105.0ms (1.2%)

prune191.0ms (2.1%)

regimes212.0ms (2.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.7s (19.3%)

Profiling