Details

analyze1.2s (14.5%)

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 (0.5%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
9.0ms	103×	body	128	invalid
3.0ms	65×	body	128	nan

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify118.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (112.0ms)

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

2.2b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.0b	(*.f64 a (pow.f64 k m))
2.2b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite104.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

2.1b

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×	`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` `sqr-pow_binary64_1414` `-commutative_binary64_1373` `associate-r/_binary64_1384`
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:

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

Compiler

Compiled 1509 to 797 computations (47.2% saved)

series584.0ms (7%)

Error

2.2b

Counts

3 → 35

Calls

3 calls:

310.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
199.0ms	(*.f64 a (pow.f64 k m))
37.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 1833 to 1350 computations (26.4% saved)

simplify68.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4968	1769
1	4968	1769

prune105.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	106	3	109

Error

2.1b

Counts

109 → 3

Compiler

Compiled 2018 to 1058 computations (47.6% 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 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
18.4b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
18.4b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite469.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

2.1b

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×	`unpow-prod-down_binary64_1521` `associate-l_binary64_1383`
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×	`pow1_binary64_1503` `prod-exp_binary64_1491`
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×	`div-inv_binary64_1439` `associate-/l*_binary64_1387`
2×	`pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510`
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 → 188

Calls

4 calls:

41.0ms	(.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))))

Compiler

Compiled 7368 to 4963 computations (32.6% saved)

series566.0ms (6.8%)

Error

2.1b

Counts

4 → 47

Calls

4 calls:

301.0ms	(.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))))))
153.0ms	(/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
32.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
28.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 2696 to 2010 computations (25.4% saved)

simplify134.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4950	7215
1	4950	7215

prune384.0ms (4.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	234	1	235
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	234	4	238

Error

2.1b

Counts

238 → 4

Compiler

Compiled 7554 to 4893 computations (35.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (.f64 a (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10)))))) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
0.1b	(.f64 a (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))))
18.4b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
18.4b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite301.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

2.1b

Rules

58×	`add-sqr-sqrt_binary64_1464`
54×	`times-frac_binary64_1448`
48×	`associate-r_binary64_1382`
38×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
36×	`sqrt-prod_binary64_1458`
30×	`add-exp-log_binary64_1480`
20×	`unpow-prod-down_binary64_1521`
18×	`add-cbrt-cube_binary64_1478`
11×	`div-exp_binary64_1493`
8×	`pow1_binary64_1503` `sqrt-div_binary64_1459` `prod-exp_binary64_1491` `sqr-pow_binary64_1414`
7×	`unswap-sqr_binary64_1410`
6×	`associate-/r*_binary64_1386`
5×	`cbrt-undiv_binary64_1476`
4×	`add-log-exp_binary64_1481` `flip3-+_binary64_1445` `flip-+_binary64_1416` `cbrt-unprod_binary64_1475` `associate-/r/_binary64_1388`
3×	`associate-l_binary64_1383`
2×	`pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `associate-*r/_binary64_1384` `div-inv_binary64_1439`
1×	`pow-prod-down_binary64_1513` `-commutative_binary64_1373` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `associate-/l/_binary64_1389` `associate-/l_binary64_1387`

Counts

4 → 138

Calls

4 calls:

19.0ms	(.f64 a (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))))
18.0ms	(/.f64 (.f64 a (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10)))))) (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 5129 to 3435 computations (33% saved)

series810.0ms (9.7%)

Error

2.1b

Counts

4 → 52

Calls

4 calls:

361.0ms	(.f64 a (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))))
318.0ms	(/.f64 (.f64 a (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10)))))) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
33.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
33.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 3498 to 2633 computations (24.7% saved)

simplify80.0ms (1%)

Algorithm

1×	egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5124	4527

prune272.0ms (3.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	190	4	194

Error

2.1b

Counts

194 → 4

Compiler

Compiled 5596 to 3537 computations (36.8% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite74.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

2.1b

Rules

18×	`add-exp-log_binary64_1480`
13×	`add-sqr-sqrt_binary64_1464`
10×	`add-cbrt-cube_binary64_1478`
8×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
7×	`associate-r_binary64_1382`
6×	`prod-exp_binary64_1491`
5×	`add-log-exp_binary64_1481`
4×	`div-exp_binary64_1493` `unpow-prod-down_binary64_1521`
3×	`pow1_binary64_1503` `times-frac_binary64_1448` `associate-/r_binary64_1386` `unswap-sqr_binary64_1410` `associate-l*_binary64_1383`
2×	`pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `cbrt-undiv_binary64_1476` `cbrt-unprod_binary64_1475` `flip3-+_binary64_1445` `associate-/r/_binary64_1388` `flip-+_binary64_1416` `sqr-pow_binary64_1414`
1×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/l_binary64_1387` `-commutative_binary64_1373` `sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

3 → 61

Calls

3 calls:

7.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k 10)))
6.0ms	(*.f64 a (pow.f64 k m))
3.0ms	(+.f64 1 (*.f64 k 10))

Compiler

Compiled 1138 to 623 computations (45.3% saved)

series470.0ms (5.6%)

Error

2.1b

Counts

3 → 33

Calls

3 calls:

234.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k 10)))
183.0ms	(*.f64 a (pow.f64 k m))
26.0ms	(+.f64 1 (*.f64 k 10))

Compiler

Compiled 1388 to 1024 computations (26.2% saved)

simplify95.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4907	1407
1	4907	1407

prune71.0ms (0.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	93	5	98

Error

2.1b

Counts

98 → 5

Compiler

Compiled 1471 to 787 computations (46.5% saved)

regimes268.0ms (3.2%)

Accuracy

Total 0.0b remaining (2.3%)

Threshold costs 0.0b (2.3%)

Compiler

Compiled 2720 to 2218 computations (18.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	22
1	18	22

end0.0ms (0%)

sample2.1s (24.8%)

Algorithm

1×

intervals

Results

516.0ms	8000×	body	128	valid
283.0ms	3249×	body	128	invalid
88.0ms	1991×	body	128	nan

Compiler

Compiled 702 to 572 computations (18.5% saved)

Details

analyze1.2s (14.5%)

sample44.0ms (0.5%)

simplify118.0ms (1.4%)

prune4.0ms (0%)

localize8.0ms (0.1%)

rewrite104.0ms (1.2%)

series584.0ms (7%)

simplify68.0ms (0.8%)

prune105.0ms (1.3%)

localize11.0ms (0.1%)

rewrite469.0ms (5.6%)

series566.0ms (6.8%)

simplify134.0ms (1.6%)

prune384.0ms (4.6%)

localize11.0ms (0.1%)

rewrite301.0ms (3.6%)

series810.0ms (9.7%)

simplify80.0ms (1%)

prune272.0ms (3.3%)

localize8.0ms (0.1%)

rewrite74.0ms (0.9%)

series470.0ms (5.6%)

simplify95.0ms (1.1%)

prune71.0ms (0.8%)

regimes268.0ms (3.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.1s (24.8%)

Profiling