Details

analyze460.0ms (14.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	50%	25%	4
25%	37.5%	37.5%	5
25%	31.2%	43.8%	6
25%	28.1%	46.9%	7
25%	26.5%	48.5%	8
25%	25.8%	49.2%	9
25%	25.4%	49.6%	10
25%	25.2%	49.8%	11
25%	25.1%	49.9%	12
25%	25%	50%	13
25%	25%	50%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample52.0ms (1.7%)

Algorithm

1×

intervals

Results

16.0ms	103×	body	2048	nan
11.0ms	256×	body	128	valid
7.0ms	61×	body	1024	nan
2.0ms	27×	body	512	nan
1.0ms	12×	body	256	nan
0.0ms	15×	body	128	nan
0.0ms	1×	body	4096	nan

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify241.0ms (7.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (142.0ms)

Iter	Nodes	Cost
0	4922	14
1	4922	14

prune2.0ms (0.1%)

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

30.4b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
28.3b	(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite43.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`sqrt-prod_binary64_1117` `*-un-lft-identity_binary64_1101`
5×	`add-sqr-sqrt_binary64_1123`
4×	`add-log-exp_binary64_1140`
3×	`pow1_binary64_1162` `add-cube-cbrt_binary64_1136`
2×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `sqrt-div_binary64_1118` `difference-of-squares_binary64_1070`
1×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `flip3--_binary64_1105` `flip--_binary64_1076` `difference-of-sqr-1_binary64_1071` `rem-sqrt-square_binary64_1114` `sum-log_binary64_1192` `flip3-+_binary64_1104` `flip-+_binary64_1075` `distribute-lft-out_binary64_1052` `+-commutative_binary64_1031`

Counts

2 → 30

Calls

2 calls:

7.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
5.0ms	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 512 to 315 computations (38.5% saved)

series70.0ms (2.3%)

Error

Counts

2 → 12

Calls

2 calls:

34.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
26.0ms	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 311 to 264 computations (15.1% saved)

simplify67.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5081	540

prune37.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	2	43

Error

Counts

43 → 2

Compiler

Compiled 542 to 352 computations (35.1% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite38.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`associate-+r+_binary64_1033`
13×	`*-un-lft-identity_binary64_1101` `cancel-sign-sub-inv_binary64_1067`
9×	`times-frac_binary64_1107`
8×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123`
6×	`add-log-exp_binary64_1140`
2×	`sum-log_binary64_1192` `distribute-lft-out_binary64_1052`
1×	`diff-log_binary64_1193` `pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `flip3-+_binary64_1104` `flip-+_binary64_1075` `distribute-lft-out--_binary64_1053` `associate-+r-_binary64_1035` `sub-neg_binary64_1094` `div-inv_binary64_1098` `+-commutative_binary64_1031`

Counts

1 → 29

Calls

1 calls:

10.0ms

(+.f64 x (-.f64 x (/.f64 1/2 x)))

Compiler

Compiled 454 to 294 computations (35.2% saved)

series52.0ms (1.7%)

Error

Counts

1 → 6

Calls

1 calls:

48.0ms

(+.f64 x (-.f64 x (/.f64 1/2 x)))

Compiler

Compiled 114 to 100 computations (12.3% saved)

simplify71.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4953	297
1	4953	297

prune26.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	35	2	37

Error

Counts

37 → 2

Compiler

Compiled 453 to 281 computations (38% saved)

regimes38.0ms (1.2%)

Accuracy

Total 0.0b remaining (5.8%)

Threshold costs 0.0b (5.8%)

Compiler

Compiled 150 to 121 computations (19.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	19
1	23	19

end0.0ms (0%)

sample1.9s (60.9%)

Algorithm

1×

intervals

Results

636.0ms	3996×	body	2048	nan
346.0ms	8000×	body	128	valid
253.0ms	2006×	body	1024	nan
97.0ms	997×	body	512	nan
42.0ms	521×	body	256	nan
15.0ms	467×	body	128	nan
1.0ms	4×	body	4096	nan

Compiler

Compiled 60 to 50 computations (16.7% saved)

Details

analyze460.0ms (14.9%)

sample52.0ms (1.7%)

simplify241.0ms (7.8%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite43.0ms (1.4%)

series70.0ms (2.3%)

simplify67.0ms (2.2%)

prune37.0ms (1.2%)

localize6.0ms (0.2%)

rewrite38.0ms (1.2%)

series52.0ms (1.7%)

simplify71.0ms (2.3%)

prune26.0ms (0.8%)

regimes38.0ms (1.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.9s (60.9%)

Profiling