Details

analyze141.0ms (7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5047	13
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
37.5%	12.5%	50%	4
43.7%	6.2%	50%	5
46.9%	3.1%	50%	6
48.4%	1.6%	50%	7
49.2%	0.8%	50%	8
49.6%	0.4%	50%	9
49.8%	0.2%	50%	10
49.9%	0.1%	50%	11
49.9%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 29 to 20 computations (31% saved)

sample26.0ms (1.3%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
3.0ms	256×	pre	128	true

Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify49.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5047	13

prune5.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.5b

Counts

2 → 2

Compiler

Compiled 43 to 33 computations (23.3% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 1 (*.f64 i i))
0.5b	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))

rewrite104.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

37×	`add-sqr-sqrt_binary64_1123`
35×	`times-frac_binary64_1107`
33×	`*-un-lft-identity_binary64_1101`
17×	`add-cube-cbrt_binary64_1136`
15×	`add-exp-log_binary64_1139`
12×	`difference-of-squares_binary64_1070`
10×	`pow1_binary64_1162`
9×	`add-cbrt-cube_binary64_1137` `associate-/r*_binary64_1045`
8×	`distribute-lft-out--_binary64_1053`
6×	`div-inv_binary64_1098` `associate-/l*_binary64_1046` `pow-flip_binary64_1175`
5×	`div-exp_binary64_1152`
3×	`cbrt-undiv_binary64_1135` `prod-exp_binary64_1150`
2×	`add-log-exp_binary64_1140` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/r/_binary64_1047` `1-exp_binary64_1145` `rec-exp_binary64_1151`
1×	`flip3--_binary64_1105` `flip--_binary64_1076` `inv-pow_binary64_1186` `pow2_binary64_1182` `pow-prod-down_binary64_1172` `pow-prod-up_binary64_1171` `pow-plus_binary64_1164` `pow-sqr_binary64_1074` `cbrt-unprod_binary64_1134`

Counts

2 → 81

Calls

2 calls:

8.0ms	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
5.0ms	(/.f64 1 (*.f64 i i))

Compiler

Compiled 1349 to 1011 computations (25.1% saved)

series79.0ms (3.9%)

Error

Counts

2 → 15

Calls

2 calls:

46.0ms	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
20.0ms	(/.f64 1 (*.f64 i i))

Compiler

Compiled 395 to 361 computations (8.6% saved)

simplify65.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5026	1341

prune77.0ms (3.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	95	3	98

Error

Counts

98 → 3

Compiler

Compiled 1299 to 984 computations (24.2% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	1	1
Total	3	3

Error

Counts

3 → 3

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 1/64 (*.f64 i i))

rewrite20.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
3×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `times-frac_binary64_1107` `-un-lft-identity_binary64_1101` `associate-/l_binary64_1046`
2×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
1×	`pow1_binary64_1162` `prod-exp_binary64_1150` `add-log-exp_binary64_1140` `cbrt-unprod_binary64_1134` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/r*_binary64_1045`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/.f64 1/64 (*.f64 i i))

Compiler

Compiled 256 to 172 computations (32.8% saved)

series23.0ms (1.1%)

Error

Counts

1 → 3

Calls

1 calls:

21.0ms

(/.f64 1/64 (*.f64 i i))

Compiler

Compiled 63 to 61 computations (3.2% saved)

simplify84.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4677	206
1	4677	206

prune15.0ms (0.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	24	3	27

Error

Counts

27 → 3

Compiler

Compiled 234 to 169 computations (27.8% saved)

regimes93.0ms (4.6%)

Accuracy

Total 0.1b remaining (99.7%)

Threshold costs 0.1b (99.7%)

Compiler

Compiled 870 to 747 computations (14.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	22
1	36	22

end0.0ms (0%)

sample1.2s (59.9%)

Algorithm

1×

intervals

Results

417.0ms	8000×	body	128	valid
90.0ms	8000×	pre	128	true

Compiler

Compiled 415 to 364 computations (12.3% saved)

Details

analyze141.0ms (7%)

sample26.0ms (1.3%)

simplify49.0ms (2.4%)

prune5.0ms (0.3%)

localize5.0ms (0.3%)

rewrite104.0ms (5.2%)

series79.0ms (3.9%)

simplify65.0ms (3.2%)

prune77.0ms (3.8%)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.3%)

prune1.0ms (0.1%)

localize6.0ms (0.3%)

rewrite20.0ms (1%)

series23.0ms (1.1%)

simplify84.0ms (4.2%)

prune15.0ms (0.7%)

regimes93.0ms (4.6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (59.9%)

Profiling