Details

analyze1.2s (13.4%)

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)

sample40.0ms (0.5%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
7.0ms	86×	body	128	invalid
2.0ms	55×	body	128	nan

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify119.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (113.0ms)

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)

localize9.0ms (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))))

rewrite105.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

2.2b

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)

series583.0ms (6.7%)

Error

2.2b

Counts

3 → 34

Calls

3 calls:

311.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
196.0ms	(*.f64 a (pow.f64 k m))
37.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 1756 to 1289 computations (26.6% saved)

simplify83.0ms (1%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4968	1660
1	4968	1660

prune107.0ms (1.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	102	5	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	5	108

Error

2.1b

Counts

108 → 5

Compiler

Compiled 2005 to 1058 computations (47.2% 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)))))
13.8b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
13.8b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite414.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

2.1b

Rules

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

Counts

4 → 107

Calls

4 calls:

203.0ms	(/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
12.0ms	(/.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)))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 3758 to 2583 computations (31.3% saved)

series605.0ms (6.9%)

Error

2.1b

Counts

4 → 52

Calls

4 calls:

324.0ms	(/.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)))))
151.0ms	(/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
36.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
35.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 2877 to 2131 computations (25.9% saved)

simplify98.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4950	3465
1	4950	3465

prune213.0ms (2.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	158	6	164

Error

2.1b

Counts

164 → 6

Compiler

Compiled 4337 to 2808 computations (35.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 a (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10))))))
0.2b	(/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10))))
13.6b	(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10)))))
13.8b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite236.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

2.1b

Rules

43×	`add-sqr-sqrt_binary64_1464`
36×	`sqrt-prod_binary64_1458`
31×	`*-un-lft-identity_binary64_1442` `times-frac_binary64_1448`
29×	`add-cube-cbrt_binary64_1477`
18×	`associate-r_binary64_1382`
10×	`pow1_binary64_1503` `add-exp-log_binary64_1480`
8×	`add-cbrt-cube_binary64_1478`
6×	`associate-/r/_binary64_1388`
4×	`add-log-exp_binary64_1481` `sqrt-pow1_binary64_1460` `flip3-+_binary64_1445` `sqrt-div_binary64_1459` `flip-+_binary64_1416` `rem-sqrt-square_binary64_1455` `unswap-sqr_binary64_1410`
3×	`div-inv_binary64_1439` `associate-/l_binary64_1387` `associate-/r_binary64_1386` `associate-l_binary64_1383`
2×	`pow1/2_binary64_1522` `inv-pow_binary64_1527` `pow-flip_binary64_1516` `div-exp_binary64_1493`
1×	`1-exp_binary64_1486` `rec-exp_binary64_1492` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-r/_binary64_1384` `-commutative_binary64_1373`

Counts

4 → 115

Calls

4 calls:

11.0ms	(.f64 a (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10))))))
5.0ms	(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10)))))
5.0ms	(/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 4113 to 2992 computations (27.3% saved)

series339.0ms (3.9%)

Error

2.1b

Counts

4 → 46

Calls

4 calls:

156.0ms	(.f64 a (sqrt.f64 (/.f64 1 (+.f64 1 (.f64 k (+.f64 k 10))))))
46.0ms	(/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10))))
40.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
40.0ms	(sqrt.f64 (/.f64 1 (+.f64 1 (*.f64 k (+.f64 k 10)))))

Compiler

Compiled 2621 to 2021 computations (22.9% saved)

simplify87.0ms (1%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4896	2918
1	4896	2918

prune272.0ms (3.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	161	6	167

Error

2.1b

Counts

167 → 6

Compiler

Compiled 5025 to 3529 computations (29.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.0b	(*.f64 a (pow.f64 k m))
0.1b	(/.f64 1 (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m))))
2.2b	(/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m)))

rewrite185.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

2.1b

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` `unpow-prod-down_binary64_1521` `unswap-sqr_binary64_1410`
2×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `flip3-+_binary64_1445` `associate-/l/_binary64_1389` `flip-+_binary64_1416` `sqr-pow_binary64_1414` `-commutative_binary64_1373` `associate-r/_binary64_1384`
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:

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

Compiler

Compiled 3268 to 1924 computations (41.1% saved)

series1.0s (11.9%)

Error

2.1b

Counts

4 → 50

Calls

4 calls:

444.0ms	(/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m)))
318.0ms	(/.f64 1 (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m))))
187.0ms	(*.f64 a (pow.f64 k m))
36.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 3130 to 2277 computations (27.3% saved)

simplify108.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4963	4019
1	4963	4019

prune181.0ms (2.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	184	1	185
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	185	6	191

Error

0.0b

Counts

191 → 6

Compiler

Compiled 3912 to 2165 computations (44.7% saved)

regimes428.0ms (4.9%)

Accuracy

Total 0.3b remaining (76.6%)

Threshold costs 0.3b (76.6%)

Compiler

Compiled 3932 to 3122 computations (20.6% saved)

bsearch3.0ms (0%)

Compiler: Compiled 15 to 12 computations (20% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	67	155
1	67	155

end0.0ms (0%)

sample2.2s (25.8%)

Algorithm

1×

intervals

Results

498.0ms	8000×	body	128	valid
276.0ms	3293×	body	128	invalid
89.0ms	2028×	body	128	nan

Compiler

Compiled 1093 to 852 computations (22% saved)

Details

analyze1.2s (13.4%)

sample40.0ms (0.5%)

simplify119.0ms (1.4%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite105.0ms (1.2%)

series583.0ms (6.7%)

simplify83.0ms (1%)

prune107.0ms (1.2%)

localize11.0ms (0.1%)

rewrite414.0ms (4.8%)

series605.0ms (6.9%)

simplify98.0ms (1.1%)

prune213.0ms (2.4%)

localize13.0ms (0.2%)

rewrite236.0ms (2.7%)

series339.0ms (3.9%)

simplify87.0ms (1%)

prune272.0ms (3.1%)

localize10.0ms (0.1%)

rewrite185.0ms (2.1%)

series1.0s (11.9%)

simplify108.0ms (1.2%)

prune181.0ms (2.1%)

regimes428.0ms (4.9%)

bsearch3.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.2s (25.8%)

Profiling