Details

analyze6.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
75%	25%	0%	5
87.5%	12.5%	0%	6
93.7%	6.2%	0%	7
96.8%	3.1%	0%	8
98.4%	1.6%	0%	9
99.2%	0.8%	0%	10
99.6%	0.4%	0%	11
99.8%	0.2%	0%	12
99.9%	0.1%	0%	13
99.9%	0.1%	0.1%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample28.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	42×	body	1024	valid
6.0ms	60×	body	512	valid
5.0ms	128×	body	128	valid
2.0ms	26×	body	256	valid

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify101.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	192	22
1	192	22

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 12.1b

Counts

2 → 1

Compiler

Compiled 30 to 26 computations (13.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
5.0b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

rewrite226.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Rules

112×	`*-un-lft-identity_binary64_1442`
74×	`times-frac_binary64_1448`
72×	`add-sqr-sqrt_binary64_1464`
39×	`add-cube-cbrt_binary64_1477`
26×	`cancel-sign-sub-inv_binary64_1408`
18×	`distribute-lft-out--_binary64_1394`
17×	`distribute-lft-out_binary64_1393`
14×	`associate-+l+_binary64_1375` `difference-of-squares_binary64_1411`
12×	`add-exp-log_binary64_1480`
11×	`associate-/r*_binary64_1386` `add-log-exp_binary64_1481`
10×	`div-inv_binary64_1439`
8×	`add-cbrt-cube_binary64_1478`
6×	`associate-/l*_binary64_1387` `pow1_binary64_1503`
4×	`associate-/r/_binary64_1388` `difference-of-sqr-1_binary64_1412` `div-exp_binary64_1493`
3×	`flip3--_binary64_1446` `flip--_binary64_1417` `frac-add_binary64_1450`
2×	`inv-pow_binary64_1527` `cbrt-undiv_binary64_1476` `sum-log_binary64_1533` `sub-neg_binary64_1435` `clear-num_binary64_1441` `1-exp_binary64_1486` `frac-sub_binary64_1451` `rec-exp_binary64_1492` `pow-flip_binary64_1516` `frac-2neg_binary64_1453` `diff-log_binary64_1534` `flip3-+_binary64_1445` `flip-+_binary64_1416`
1×	`+-commutative_binary64_1372` `associate-+l-_binary64_1377`

Counts

4 → 161

Calls

4 calls:

181.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
20.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
6.0ms	(/.f64 1 (-.f64 x 1))
5.0ms	(/.f64 1 (+.f64 x 1))

series84.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

53.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
13.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
9.0ms	(/.f64 1 (+.f64 x 1))
9.0ms	(/.f64 1 (-.f64 x 1))

simplify90.0ms (2%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4963	2797
1	4963	2797

prune218.0ms (5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	171	2	173
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	172	2	174

Merged error: 0.8b

Counts

174 → 2

Compiler

Compiled 3591 to 2882 computations (19.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))))
0.0b	(/.f64 2 (pow.f64 x 7))
0.1b	(/.f64 2 (pow.f64 x 5))
0.8b	(/.f64 2 (pow.f64 x 3))

rewrite98.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`times-frac_binary64_1448`
78×	`*-un-lft-identity_binary64_1442`
64×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477`
36×	`unpow-prod-down_binary64_1521`
26×	`associate-/r*_binary64_1386`
19×	`add-exp-log_binary64_1480`
12×	`cube-prod_binary64_1470` `sqr-pow_binary64_1414`
11×	`distribute-lft-out_binary64_1393`
10×	`add-cbrt-cube_binary64_1478`
9×	`associate-/l*_binary64_1387` `add-log-exp_binary64_1481` `div-exp_binary64_1493`
6×	`div-inv_binary64_1439`
4×	`cube-mult_binary64_1472` `unpow3_binary64_1508` `pow1_binary64_1503` `frac-add_binary64_1450`
3×	`cbrt-undiv_binary64_1476` `sum-log_binary64_1533` `pow-exp_binary64_1510` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `pow-to-exp_binary64_1511`
2×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
1×	`+-commutative_binary64_1372` `associate-+r+_binary64_1374`

Counts

4 → 177

Calls

4 calls:

63.0ms	(+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))))
6.0ms	(/.f64 2 (pow.f64 x 3))
5.0ms	(/.f64 2 (pow.f64 x 5))
4.0ms	(/.f64 2 (pow.f64 x 7))

series121.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

35.0ms	(/.f64 2 (pow.f64 x 7))
33.0ms	(+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 2 (pow.f64 x 3))))
29.0ms	(/.f64 2 (pow.f64 x 5))
24.0ms	(/.f64 2 (pow.f64 x 3))

simplify88.0ms (2%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4950	3081
1	4950	3081

prune300.0ms (6.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	186	3	189
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	186	5	191

Merged error: 0.0b

Counts

191 → 5

Compiler

Compiled 4512 to 3663 computations (18.8% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 2 (pow.f64 x 7))
0.1b	(/.f64 2 (pow.f64 x 5))
0.1b	(/.f64 (/.f64 2 (*.f64 x x)) x)
0.1b	(/.f64 2 (*.f64 x x))

rewrite34.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`times-frac_binary64_1448`
54×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
28×	`add-exp-log_binary64_1480`
24×	`unpow-prod-down_binary64_1521`
22×	`add-cbrt-cube_binary64_1478`
18×	`associate-/r*_binary64_1386`
16×	`associate-/l*_binary64_1387`
13×	`div-exp_binary64_1493`
9×	`cbrt-undiv_binary64_1476`
8×	`div-inv_binary64_1439` `sqr-pow_binary64_1414`
4×	`clear-num_binary64_1441` `add-log-exp_binary64_1481` `frac-2neg_binary64_1453` `pow1_binary64_1503`
2×	`cbrt-unprod_binary64_1475` `pow-exp_binary64_1510` `prod-exp_binary64_1491` `pow-to-exp_binary64_1511`
1×	`associate-/l/_binary64_1389`

Counts

4 → 159

Calls

4 calls:

7.0ms	(/.f64 (/.f64 2 (*.f64 x x)) x)
4.0ms	(/.f64 2 (*.f64 x x))
4.0ms	(/.f64 2 (pow.f64 x 5))
4.0ms	(/.f64 2 (pow.f64 x 7))

series111.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(/.f64 2 (pow.f64 x 7))
36.0ms	(/.f64 2 (pow.f64 x 5))
22.0ms	(/.f64 (/.f64 2 (*.f64 x x)) x)
16.0ms	(/.f64 2 (*.f64 x x))

simplify90.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4962	2283
1	4962	2283

prune241.0ms (5.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	170	6	176

Merged error: 0b

Counts

176 → 6

Compiler

Compiled 4236 to 3074 computations (27.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 (/.f64 2 x) (*.f64 x x))))
0.0b	(/.f64 2 (pow.f64 x 7))
0.1b	(/.f64 2 (pow.f64 x 5))
0.1b	(/.f64 (/.f64 2 x) (*.f64 x x))

rewrite69.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

73×	`times-frac_binary64_1448`
55×	`*-un-lft-identity_binary64_1442`
50×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477`
26×	`add-exp-log_binary64_1480`
24×	`unpow-prod-down_binary64_1521`
20×	`add-cbrt-cube_binary64_1478`
19×	`associate-/l*_binary64_1387`
15×	`associate-/r*_binary64_1386`
12×	`div-exp_binary64_1493`
9×	`add-log-exp_binary64_1481`
8×	`cbrt-undiv_binary64_1476` `sqr-pow_binary64_1414`
5×	`div-inv_binary64_1439`
4×	`pow1_binary64_1503` `frac-add_binary64_1450`
3×	`sum-log_binary64_1533` `clear-num_binary64_1441` `distribute-lft-out_binary64_1393` `frac-2neg_binary64_1453`
2×	`cbrt-unprod_binary64_1475` `pow-exp_binary64_1510` `flip3-+_binary64_1445` `flip-+_binary64_1416` `prod-exp_binary64_1491` `pow-to-exp_binary64_1511`
1×	`associate-/l/_binary64_1389` `+-commutative_binary64_1372` `associate-+r+_binary64_1374`

Counts

4 → 154

Calls

4 calls:

37.0ms	(+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 (/.f64 2 x) (*.f64 x x))))
7.0ms	(/.f64 (/.f64 2 x) (*.f64 x x))
4.0ms	(/.f64 2 (pow.f64 x 5))
4.0ms	(/.f64 2 (pow.f64 x 7))

series119.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

36.0ms	(/.f64 2 (pow.f64 x 7))
31.0ms	(+.f64 (/.f64 2 (pow.f64 x 7)) (+.f64 (/.f64 2 (pow.f64 x 5)) (/.f64 (/.f64 2 x) (*.f64 x x))))
27.0ms	(/.f64 2 (pow.f64 x 5))
24.0ms	(/.f64 (/.f64 2 x) (*.f64 x x))

simplify94.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4961	2747
1	4961	2747

prune237.0ms (5.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	166	6	172

Merged error: 0b

Counts

172 → 6

Compiler

Compiled 4173 to 3102 computations (25.7% saved)

regimes227.0ms (5.2%)

Compiler: Compiled 2238 to 1870 computations (16.4% saved)

bsearch2.0ms (0.1%)

Compiler: Compiled 15 to 13 computations (13.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	123	153
1	123	153

end0.0ms (0%)

sample1.8s (40%)

Algorithm

1×

intervals

Results

193.0ms	1320×	body	1024	valid
177.0ms	4495×	body	128	valid
159.0ms	1456×	body	512	valid
58.0ms	729×	body	256	valid

Compiler

Compiled 1230 to 1025 computations (16.7% saved)

Details

analyze6.0ms (0.1%)

sample28.0ms (0.6%)

simplify101.0ms (2.3%)

prune2.0ms (0.1%)

localize9.0ms (0.2%)

rewrite226.0ms (5.1%)

series84.0ms (1.9%)

simplify90.0ms (2%)

prune218.0ms (5%)

localize10.0ms (0.2%)

rewrite98.0ms (2.2%)

series121.0ms (2.8%)

simplify88.0ms (2%)

prune300.0ms (6.8%)

localize11.0ms (0.3%)

rewrite34.0ms (0.8%)

series111.0ms (2.5%)

simplify90.0ms (2.1%)

prune241.0ms (5.5%)

localize11.0ms (0.2%)

rewrite69.0ms (1.6%)

series119.0ms (2.7%)

simplify94.0ms (2.1%)

prune237.0ms (5.4%)

regimes227.0ms (5.2%)

bsearch2.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.8s (40%)

Profiling