Details

analyze1.5s (23.1%)

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)

sample48.0ms (0.7%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
10.0ms	111×	body	128	invalid
4.0ms	78×	body	128	nan

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify124.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	5019	19

prune4.0ms (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

Error

1.8b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.0b	(*.f64 a (pow.f64 k m))
1.7b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite22.0ms (0.3%)

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))

series218.0ms (3.4%)

Counts

3 → 9

Calls

3 calls:

137.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
56.0ms	(*.f64 a (pow.f64 k m))
25.0ms	(*.f64 k (+.f64 k 10))

simplify60.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4956	1226
1	4956	1226

prune87.0ms (1.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	77	5	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	5	83

Error

1.7b

Counts

83 → 5

Compiler

Compiled 1623 to 886 computations (45.4% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 k)
0.6b	(cbrt.f64 k)
0.6b	(cbrt.f64 k)
1.7b	(/.f64 (.f64 (.f64 a (pow.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) m)) (pow.f64 (cbrt.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

11.0ms	(/.f64 (.f64 (.f64 a (pow.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) m)) (pow.f64 (cbrt.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
1.0ms	(cbrt.f64 k)
1.0ms	(cbrt.f64 k)
1.0ms	(cbrt.f64 k)

series620.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

376.0ms	(/.f64 (.f64 (.f64 a (pow.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) m)) (pow.f64 (cbrt.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
85.0ms	(cbrt.f64 k)
80.0ms	(cbrt.f64 k)
79.0ms	(cbrt.f64 k)

simplify50.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5391	1576

prune99.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	83	5	88

Error

1.7b

Counts

88 → 5

Compiler

Compiled 2163 to 1098 computations (49.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
0.1b	(.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))))))
12.6b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
12.6b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite76.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

146×	`add-sqr-sqrt_binary64_1464`
134×	`times-frac_binary64_1448`
76×	`sqrt-prod_binary64_1458` `add-cube-cbrt_binary64_1477` `*-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×	`prod-exp_binary64_1491` `pow1_binary64_1503`
7×	`associate-/l*_binary64_1387`
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×	`pow-exp_binary64_1510` `div-inv_binary64_1439` `pow-to-exp_binary64_1511`
2×	`sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `pow1/2_binary64_1522`
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 → 218

Calls

4 calls:

33.0ms	(.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))))

series231.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

134.0ms	(.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))))))
69.0ms	(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
15.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
13.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

simplify173.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4923	7913
1	4923	7913

prune446.0ms (6.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	230	5	235

Error

1.7b

Counts

235 → 5

Compiler

Compiled 8023 to 5256 computations (34.5% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.0b	(*.f64 a (pow.f64 k m))
0.2b	(/.f64 1 (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m))))
1.7b	(/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m)))

rewrite38.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

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×	`cbrt-undiv_binary64_1476` `pow1_binary64_1503`
6×	`div-inv_binary64_1439` `associate-/l_binary64_1387` `associate-l*_binary64_1383`
5×	`pow-exp_binary64_1510` `1-exp_binary64_1486` `rec-exp_binary64_1492` `pow-to-exp_binary64_1511`
4×	`cbrt-unprod_binary64_1475` `add-log-exp_binary64_1481` `unpow-prod-down_binary64_1521` `unswap-sqr_binary64_1410`
2×	`associate-r/_binary64_1384` `associate-/l/_binary64_1389` `clear-num_binary64_1441` `-commutative_binary64_1373` `frac-2neg_binary64_1453` `sqr-pow_binary64_1414` `flip3-+_binary64_1445` `flip-+_binary64_1416`
1×	`inv-pow_binary64_1527` `associate-/r/_binary64_1388` `pow-prod-down_binary64_1513` `pow-flip_binary64_1516` `distribute-lft-out_binary64_1393` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392`

Counts

4 → 135

Calls

4 calls:

9.0ms	(/.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))

series316.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

120.0ms	(/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m)))
117.0ms	(/.f64 1 (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m))))
55.0ms	(*.f64 a (pow.f64 k m))
25.0ms	(*.f64 k (+.f64 k 10))

simplify129.0ms (2%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4921	2954
1	4921	2954

prune152.0ms (2.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	148	4	152

Error

0.1b

Counts

152 → 4

Compiler

Compiled 3061 to 1791 computations (41.5% saved)

regimes184.0ms (2.9%)

Accuracy

Total 0.1b remaining (55.6%)

Threshold costs 0.1b (55.6%)

Compiler

Compiled 1588 to 1294 computations (18.5% saved)

bsearch31.0ms (0.5%)

Steps

Iters	Range		Point
8	3.861662612950994e-38	2.2239673020104246e-35	2.0291990054631206e-35

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	46	73
1	46	73

end0.0ms (0%)

sample1.8s (27.5%)

Algorithm

1×

intervals

Results

543.0ms	8000×	body	128	valid
294.0ms	3299×	body	128	invalid
104.0ms	1998×	body	128	nan

Compiler

Compiled 452 to 360 computations (20.4% saved)

Details

analyze1.5s (23.1%)

sample48.0ms (0.7%)

simplify124.0ms (1.9%)

prune4.0ms (0.1%)

localize10.0ms (0.2%)

rewrite22.0ms (0.3%)

series218.0ms (3.4%)

simplify60.0ms (0.9%)

prune87.0ms (1.3%)

localize16.0ms (0.2%)

rewrite24.0ms (0.4%)

series620.0ms (9.6%)

simplify50.0ms (0.8%)

prune99.0ms (1.5%)

localize13.0ms (0.2%)

rewrite76.0ms (1.2%)

series231.0ms (3.6%)

simplify173.0ms (2.7%)

prune446.0ms (6.9%)

localize11.0ms (0.2%)

rewrite38.0ms (0.6%)

series316.0ms (4.9%)

simplify129.0ms (2%)

prune152.0ms (2.3%)

regimes184.0ms (2.9%)

bsearch31.0ms (0.5%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (27.5%)

Profiling