Details

analyze1.2s (11.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5045	76
0	3	3
1	3	3

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 (0.4%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
9.0ms	108×	body	128	invalid
3.0ms	78×	body	128	nan

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify128.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	5019	19

prune4.0ms (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

2.1b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 a (pow.f64 k m))
0.0b	(*.f64 k (+.f64 k 10))
2.1b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite93.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

2.0b

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` `unswap-sqr_binary64_1410` `unpow-prod-down_binary64_1521`
3×	`add-log-exp_binary64_1481` `cbrt-unprod_binary64_1475` `times-frac_binary64_1448` `associate-/r*_binary64_1386`
2×	`pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `cbrt-undiv_binary64_1476` `flip3-+_binary64_1445` `associate-/r/_binary64_1388` `flip-+_binary64_1416` `associate-r/_binary64_1384` `-commutative_binary64_1373` `sqr-pow_binary64_1414`
1×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/l*_binary64_1387` `pow-prod-down_binary64_1513` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `distribute-lft-out_binary64_1393`

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))

Compiler

Compiled 1509 to 797 computations (47.2% saved)

series521.0ms (5.1%)

Error

2.1b

Counts

3 → 29

Calls

3 calls:

281.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
177.0ms	(*.f64 a (pow.f64 k m))
37.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 1332 to 988 computations (25.8% saved)

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4951	1419
1	4951	1419

prune92.0ms (0.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	98	4	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	4	103

Error

2.0b

Counts

103 → 4

Compiler

Compiled 1801 to 950 computations (47.3% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.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))))))
12.8b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
12.8b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite509.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

2.0b

Rules

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

Counts

4 → 218

Calls

4 calls:

38.0ms	(.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 (pow.f64 k m) (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))))

Compiler

Compiled 8581 to 5725 computations (33.3% saved)

series532.0ms (5.2%)

Error

2.0b

Counts

4 → 39

Calls

4 calls:

290.0ms	(.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))))))
146.0ms	(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
31.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
27.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 2302 to 1749 computations (24% saved)

simplify119.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

257 → 257

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5044	8128

prune455.0ms (4.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	257	0	257
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	257	4	261

Error

2.0b

Counts

261 → 4

Compiler

Compiled 8378 to 5426 computations (35.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 a (pow.f64 k m))
0.0b	(*.f64 k (+.f64 k 10))
0.3b	(/.f64 1 (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m))))
1.9b	(/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m)))

rewrite185.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

2.0b

Rules

59×	`add-exp-log_binary64_1480`
36×	`times-frac_binary64_1448`
34×	`add-sqr-sqrt_binary64_1464`
29×	`*-un-lft-identity_binary64_1442`
27×	`add-cube-cbrt_binary64_1477`
26×	`div-exp_binary64_1493`
22×	`add-cbrt-cube_binary64_1478`
16×	`prod-exp_binary64_1491`
11×	`associate-r_binary64_1382`
8×	`associate-/r*_binary64_1386`
7×	`pow1_binary64_1503` `cbrt-undiv_binary64_1476`
6×	`div-inv_binary64_1439` `associate-/l_binary64_1387` `associate-l*_binary64_1383`
5×	`pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `1-exp_binary64_1486` `rec-exp_binary64_1492`
4×	`add-log-exp_binary64_1481` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `unpow-prod-down_binary64_1521`
2×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `flip3-+_binary64_1445` `associate-/l/_binary64_1389` `flip-+_binary64_1416` `associate-r/_binary64_1384` `-commutative_binary64_1373` `sqr-pow_binary64_1414`
1×	`inv-pow_binary64_1527` `pow-flip_binary64_1516` `associate-/r/_binary64_1388` `pow-prod-down_binary64_1513` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `distribute-lft-out_binary64_1393`

Counts

4 → 135

Calls

4 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))
5.0ms	(*.f64 a (pow.f64 k m))

Compiler

Compiled 3268 to 1924 computations (41.1% saved)

series1.0s (9.9%)

Error

2.0b

Counts

4 → 45

Calls

4 calls:

458.0ms	(/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m)))
283.0ms	(/.f64 1 (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m))))
179.0ms	(*.f64 a (pow.f64 k m))
35.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 2702 to 1972 computations (27% saved)

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5068	3735

prune184.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	179	1	180
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	181	3	184

Error

0.2b

Counts

184 → 3

Compiler

Compiled 3745 to 2139 computations (42.9% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 1 (.f64 a (pow.f64 k m))) (.f64 (/.f64 k (*.f64 a (pow.f64 k m))) (+.f64 k 10)))
0.0b	(/.f64 1 (*.f64 a (pow.f64 k m)))
0.1b	(.f64 (/.f64 k (.f64 a (pow.f64 k m))) (+.f64 k 10))
0.3b	(/.f64 1 (+.f64 (/.f64 1 (.f64 a (pow.f64 k m))) (.f64 (/.f64 k (*.f64 a (pow.f64 k m))) (+.f64 k 10))))

rewrite207.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

46×	`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` `prod-exp_binary64_1491`
15×	`times-frac_binary64_1448`
14×	`div-exp_binary64_1493`
10×	`frac-add_binary64_1450`
8×	`pow1_binary64_1503` `flip3-+_binary64_1445` `flip-+_binary64_1416`
7×	`associate-/r/_binary64_1388` `associate-l_binary64_1383`
6×	`add-log-exp_binary64_1481` `frac-times_binary64_1452` `associate-r/_binary64_1384` `associate-/l_binary64_1387`
5×	`1-exp_binary64_1486` `rec-exp_binary64_1492` `cbrt-undiv_binary64_1476` `cbrt-unprod_binary64_1475`
4×	`associate-/r_binary64_1386` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `associate-r*_binary64_1382`
3×	`div-inv_binary64_1439` `associate-*l/_binary64_1385`
2×	`inv-pow_binary64_1527` `pow-flip_binary64_1516` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `associate-+r+_binary64_1374`
1×	`pow-prod-down_binary64_1513` `unswap-sqr_binary64_1410` `distribute-lft-out_binary64_1393` `*-commutative_binary64_1373` `sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 125

Calls

4 calls:

12.0ms	(/.f64 1 (+.f64 (/.f64 1 (.f64 a (pow.f64 k m))) (.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))
10.0ms	(+.f64 (/.f64 1 (.f64 a (pow.f64 k m))) (.f64 (/.f64 k (*.f64 a (pow.f64 k m))) (+.f64 k 10)))
5.0ms	(/.f64 1 (*.f64 a (pow.f64 k m)))

Compiler

Compiled 4198 to 1786 computations (57.5% saved)

series2.4s (23.2%)

Error

0.2b

Counts

4 → 51

Calls

4 calls:

853.0ms	(/.f64 1 (+.f64 (/.f64 1 (.f64 a (pow.f64 k m))) (.f64 (/.f64 k (*.f64 a (pow.f64 k m))) (+.f64 k 10))))
835.0ms	(+.f64 (/.f64 1 (.f64 a (pow.f64 k m))) (.f64 (/.f64 k (*.f64 a (pow.f64 k m))) (+.f64 k 10)))
347.0ms	(.f64 (/.f64 k (.f64 a (pow.f64 k m))) (+.f64 k 10))
262.0ms	(/.f64 1 (*.f64 a (pow.f64 k m)))

Compiler

Compiled 4347 to 2791 computations (35.8% saved)

simplify121.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4956	4697
1	4956	4697

prune181.0ms (1.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	175	1	176
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	175	4	179

Error

0.2b

Counts

179 → 4

Compiler

Compiled 4926 to 1999 computations (59.4% saved)

regimes232.0ms (2.3%)

Accuracy

Total 0.2b remaining (59.8%)

Threshold costs 0.2b (59.8%)

Compiler

Compiled 2120 to 1566 computations (26.1% saved)

bsearch29.0ms (0.3%)

Steps

Iters	Range		Point
8	1.4951741120456285e-31	4.843472487854531e-27	2.0989642968183564e-27

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	53
1	28	53

end0.0ms (0%)

sample1.8s (17.8%)

Algorithm

1×

intervals

Results

501.0ms	8000×	body	128	valid
268.0ms	3319×	body	128	invalid
83.0ms	2027×	body	128	nan

Compiler

Compiled 573 to 419 computations (26.9% saved)

Details

analyze1.2s (11.5%)

sample44.0ms (0.4%)

simplify128.0ms (1.3%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite93.0ms (0.9%)

series521.0ms (5.1%)

simplify64.0ms (0.6%)

prune92.0ms (0.9%)

localize11.0ms (0.1%)

rewrite509.0ms (5%)

series532.0ms (5.2%)

simplify119.0ms (1.2%)

prune455.0ms (4.5%)

localize10.0ms (0.1%)

rewrite185.0ms (1.8%)

series1.0s (9.9%)

simplify73.0ms (0.7%)

prune184.0ms (1.8%)

localize11.0ms (0.1%)

rewrite207.0ms (2%)

series2.4s (23.2%)

simplify121.0ms (1.2%)

prune181.0ms (1.8%)

regimes232.0ms (2.3%)

bsearch29.0ms (0.3%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (17.8%)

Profiling