Details

analyze912.0ms (15.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4922	14
1	4922	14
0	1	1
1	1	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)

sample114.0ms (2%)

Algorithm

1×

intervals

Results

40.0ms	133×	body	2048	nan
19.0ms	256×	body	128	valid
16.0ms	66×	body	1024	nan
8.0ms	44×	body	512	nan
2.0ms	15×	body	256	nan
1.0ms	20×	body	128	nan

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify289.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (279.0ms)

Iter	Nodes	Cost
0	4922	14
1	4922	14

prune8.0ms (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

37.6b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
35.1b	(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite79.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`sqrt-prod_binary64_2140` `*-un-lft-identity_binary64_2124`
5×	`add-sqr-sqrt_binary64_2146`
4×	`add-log-exp_binary64_2163`
3×	`pow1_binary64_2185` `add-cube-cbrt_binary64_2159`
2×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `sqrt-div_binary64_2141` `difference-of-squares_binary64_2093`
1×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `flip3--_binary64_2128` `flip--_binary64_2099` `difference-of-sqr-1_binary64_2094` `rem-sqrt-square_binary64_2137` `sum-log_binary64_2215` `flip3-+_binary64_2127` `flip-+_binary64_2098` `distribute-lft-out_binary64_2075` `+-commutative_binary64_2054`

Counts

2 → 30

Calls

2 calls:

13.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
9.0ms	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 512 to 315 computations (38.5% saved)

series135.0ms (2.4%)

Error

Counts

2 → 12

Calls

2 calls:

67.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
48.0ms	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 311 to 264 computations (15.1% saved)

simplify123.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	5081	540

prune70.0ms (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)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite68.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`associate-+r+_binary64_2056`
13×	`*-un-lft-identity_binary64_2124` `cancel-sign-sub-inv_binary64_2090`
9×	`times-frac_binary64_2130`
8×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
6×	`add-log-exp_binary64_2163`
2×	`sum-log_binary64_2215` `distribute-lft-out_binary64_2075`
1×	`diff-log_binary64_2216` `pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `flip3-+_binary64_2127` `flip-+_binary64_2098` `distribute-lft-out--_binary64_2076` `associate-+r-_binary64_2058` `sub-neg_binary64_2117` `div-inv_binary64_2121` `+-commutative_binary64_2054`

Counts

1 → 29

Calls

1 calls:

20.0ms

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

Compiler

Compiled 454 to 294 computations (35.2% saved)

series106.0ms (1.9%)

Error

Counts

1 → 6

Calls

1 calls:

100.0ms

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

Compiler

Compiled 114 to 100 computations (12.3% saved)

simplify136.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4953	297
1	4953	297

prune47.0ms (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)

regimes73.0ms (1.3%)

Accuracy

Total 0.0b remaining (3.1%)

Threshold costs 0.0b (3.1%)

Compiler

Compiled 150 to 121 computations (19.3% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	19
1	23	19

end0.0ms (0%)

sample3.5s (61.7%)

Algorithm

1×

intervals

Results

1.2s	4004×	body	2048	nan
610.0ms	8000×	body	128	valid
494.0ms	2003×	body	1024	nan
178.0ms	1023×	body	512	nan
62.0ms	534×	body	256	nan
29.0ms	498×	body	128	nan
4.0ms	11×	body	4096	nan

Compiler

Compiled 60 to 50 computations (16.7% saved)

Details

analyze912.0ms (15.9%)

sample114.0ms (2%)

simplify289.0ms (5.1%)

prune8.0ms (0.1%)

localize13.0ms (0.2%)

rewrite79.0ms (1.4%)

series135.0ms (2.4%)

simplify123.0ms (2.2%)

prune70.0ms (1.2%)

localize12.0ms (0.2%)

rewrite68.0ms (1.2%)

series106.0ms (1.9%)

simplify136.0ms (2.4%)

prune47.0ms (0.8%)

regimes73.0ms (1.3%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample3.5s (61.7%)

Profiling