Details

analyze162.0ms (2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	22
1	192	22
0	1	1
1	1	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)

sample26.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	50×	body	1024	valid
5.0ms	51×	body	512	valid
5.0ms	131×	body	128	valid
2.0ms	24×	body	256	valid

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	192	22
1	192	22

prune3.0ms (0%)

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

Error

10.1b

Counts

2 → 1

Compiler

Compiled 30 to 26 computations (13.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 1 (+.f64 x 1))
1.2b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

rewrite417.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

9.7b

Rules

112×	`*-un-lft-identity_binary64_1101`
74×	`times-frac_binary64_1107`
72×	`add-sqr-sqrt_binary64_1123`
39×	`add-cube-cbrt_binary64_1136`
26×	`cancel-sign-sub-inv_binary64_1067`
18×	`distribute-lft-out--_binary64_1053`
17×	`distribute-lft-out_binary64_1052`
14×	`associate-+l+_binary64_1034` `difference-of-squares_binary64_1070`
12×	`add-exp-log_binary64_1139`
11×	`add-log-exp_binary64_1140` `associate-/r*_binary64_1045`
10×	`div-inv_binary64_1098`
8×	`add-cbrt-cube_binary64_1137`
6×	`pow1_binary64_1162` `associate-/l*_binary64_1046`
4×	`div-exp_binary64_1152` `associate-/r/_binary64_1047` `difference-of-sqr-1_binary64_1071`
3×	`frac-add_binary64_1109` `flip3--_binary64_1105` `flip--_binary64_1076`
2×	`diff-log_binary64_1193` `sum-log_binary64_1192` `frac-sub_binary64_1110` `flip3-+_binary64_1104` `flip-+_binary64_1075` `sub-neg_binary64_1094` `inv-pow_binary64_1186` `pow-flip_binary64_1175` `1-exp_binary64_1145` `rec-exp_binary64_1151` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100`
1×	`associate-+l-_binary64_1036` `+-commutative_binary64_1031`

Counts

4 → 161

Calls

4 calls:

49.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
21.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
6.0ms	(/.f64 1 (-.f64 x 1))
6.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 3271 to 2646 computations (19.1% saved)

series319.0ms (4%)

Error

0.2b

Counts

4 → 47

Calls

4 calls:

139.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
48.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
42.0ms	(/.f64 1 (-.f64 x 1))
40.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 1415 to 1190 computations (15.9% saved)

simplify94.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4938	3281
1	4938	3281

prune216.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	206	2	208
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	206	3	209

Error

0.2b

Counts

209 → 3

Compiler

Compiled 2431 to 1926 computations (20.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 2 (pow.f64 x 9))
0.2b	(/.f64 2 (pow.f64 x 7))
0.3b	(/.f64 2 (pow.f64 x 3))
0.3b	(/.f64 2 (pow.f64 x 5))

rewrite574.0ms (7.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

99×	`times-frac_binary64_1107`
77×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
48×	`unpow-prod-down_binary64_1180`
33×	`associate-/r*_binary64_1045`
24×	`add-exp-log_binary64_1139`
16×	`sqr-pow_binary64_1073`
12×	`div-exp_binary64_1152` `add-cbrt-cube_binary64_1137` `associate-/l*_binary64_1046` `cube-prod_binary64_1129`
4×	`pow1_binary64_1162` `pow-to-exp_binary64_1170` `pow-exp_binary64_1169` `add-log-exp_binary64_1140` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `unpow3_binary64_1167` `cube-mult_binary64_1131`

Counts

4 → 200

Calls

4 calls:

6.0ms	(/.f64 2 (pow.f64 x 3))
5.0ms	(/.f64 2 (pow.f64 x 5))
5.0ms	(/.f64 2 (pow.f64 x 7))
4.0ms	(/.f64 2 (pow.f64 x 9))

Compiler

Compiled 5602 to 4624 computations (17.5% saved)

series242.0ms (3%)

Error

0.2b

Counts

4 → 12

Calls

4 calls:

71.0ms	(/.f64 2 (pow.f64 x 7))
66.0ms	(/.f64 2 (pow.f64 x 9))
57.0ms	(/.f64 2 (pow.f64 x 5))
44.0ms	(/.f64 2 (pow.f64 x 3))

Compiler

Compiled 575 to 500 computations (13% saved)

simplify72.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4989	2864
1	4989	2864

prune395.0ms (5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	209	3	212
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	209	6	215

Error

0.0b

Counts

215 → 6

Compiler

Compiled 4319 to 3519 computations (18.5% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (/.f64 2 x) (*.f64 x x))
0.2b	(/.f64 2 (pow.f64 x 9))
0.2b	(/.f64 2 (pow.f64 x 7))
0.3b	(/.f64 2 (pow.f64 x 5))

rewrite516.0ms (6.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

94×	`times-frac_binary64_1107`
66×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
36×	`unpow-prod-down_binary64_1180`
31×	`add-exp-log_binary64_1139`
22×	`add-cbrt-cube_binary64_1137` `associate-/l_binary64_1046` `associate-/r_binary64_1045`
15×	`div-exp_binary64_1152`
12×	`sqr-pow_binary64_1073`
9×	`cbrt-undiv_binary64_1135`
6×	`div-inv_binary64_1098`
4×	`pow1_binary64_1162` `add-log-exp_binary64_1140` `frac-2neg_binary64_1112` `clear-num_binary64_1100`
3×	`pow-to-exp_binary64_1170` `pow-exp_binary64_1169`
2×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
1×	`associate-/l/_binary64_1048`

Counts

4 → 181

Calls

4 calls:

7.0ms	(/.f64 (/.f64 2 x) (*.f64 x x))
5.0ms	(/.f64 2 (pow.f64 x 5))
5.0ms	(/.f64 2 (pow.f64 x 7))
4.0ms	(/.f64 2 (pow.f64 x 9))

Compiler

Compiled 5755 to 4250 computations (26.2% saved)

series265.0ms (3.3%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

72.0ms	(/.f64 2 (pow.f64 x 9))
69.0ms	(/.f64 2 (pow.f64 x 7))
65.0ms	(/.f64 2 (pow.f64 x 5))
53.0ms	(/.f64 (/.f64 2 x) (*.f64 x x))

Compiler

Compiled 636 to 519 computations (18.4% saved)

simplify81.0ms (1%)

Algorithm

1×	egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5003	2627

prune383.0ms (4.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	191	2	193
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	192	7	199

Error

Counts

199 → 7

Compiler

Compiled 4546 to 3389 computations (25.5% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 2 (pow.f64 x 9))
0.2b	(/.f64 2 (pow.f64 x 7))
0.3b	(/.f64 2 (pow.f64 x 5))
0.6b	(/.f64 2 (*.f64 x x))

rewrite473.0ms (5.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

66×	`times-frac_binary64_1107`
54×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
36×	`unpow-prod-down_binary64_1180`
24×	`add-exp-log_binary64_1139`
22×	`associate-/r*_binary64_1045`
15×	`add-cbrt-cube_binary64_1137`
12×	`associate-/l*_binary64_1046` `sqr-pow_binary64_1073`
11×	`div-exp_binary64_1152`
5×	`cbrt-undiv_binary64_1135`
4×	`pow1_binary64_1162` `add-log-exp_binary64_1140` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098`
3×	`pow-to-exp_binary64_1170` `pow-exp_binary64_1169`
1×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`

Counts

4 → 156

Calls

4 calls:

5.0ms	(/.f64 2 (pow.f64 x 5))
5.0ms	(/.f64 2 (*.f64 x x))
5.0ms	(/.f64 2 (pow.f64 x 7))
5.0ms	(/.f64 2 (pow.f64 x 9))

Compiler

Compiled 4897 to 3656 computations (25.3% saved)

series238.0ms (3%)

Error

Counts

4 → 12

Calls

4 calls:

71.0ms	(/.f64 2 (pow.f64 x 7))
70.0ms	(/.f64 2 (pow.f64 x 9))
55.0ms	(/.f64 2 (pow.f64 x 5))
36.0ms	(/.f64 2 (*.f64 x x))

Compiler

Compiled 650 to 526 computations (19.1% saved)

simplify81.0ms (1%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4972	2231
1	4972	2231

prune336.0ms (4.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	167	1	168
Fresh	2	1	3
Picked	0	1	1
Done	0	3	3
Total	169	6	175

Error

Counts

175 → 6

Compiler

Compiled 3852 to 2859 computations (25.8% saved)

regimes2.0s (24.8%)

Accuracy

Total 0.5b remaining (95.2%)

Threshold costs 0.5b (95.2%)

Compiler

Compiled 16239 to 13763 computations (15.2% saved)

bsearch14.0ms (0.2%)

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	139	135
1	139	135

end4.0ms (0.1%)

Compiler: Compiled 91 to 74 computations (18.7% saved)

sample1.0s (12.6%)

Algorithm

1×

intervals

Results

193.0ms	1341×	body	1024	valid
165.0ms	4414×	body	128	valid
160.0ms	1519×	body	512	valid
50.0ms	726×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 245 to 206 computations (15.9% saved)

Details

analyze162.0ms (2%)

sample26.0ms (0.3%)

simplify12.0ms (0.2%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite417.0ms (5.2%)

series319.0ms (4%)

simplify94.0ms (1.2%)

prune216.0ms (2.7%)

localize15.0ms (0.2%)

rewrite574.0ms (7.2%)

series242.0ms (3%)

simplify72.0ms (0.9%)

prune395.0ms (5%)

localize16.0ms (0.2%)

rewrite516.0ms (6.5%)

series265.0ms (3.3%)

simplify81.0ms (1%)

prune383.0ms (4.8%)

localize16.0ms (0.2%)

rewrite473.0ms (5.9%)

series238.0ms (3%)

simplify81.0ms (1%)

prune336.0ms (4.2%)

regimes2.0s (24.8%)

bsearch14.0ms (0.2%)

simplify4.0ms (0.1%)

end4.0ms (0.1%)

sample1.0s (12.6%)

Profiling