Details

analyze111.0ms (4.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	6
1	7	6
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Symmetry

Compiler

Compiled 5 to 5 computations (0% saved)

sample50.0ms (2%)

Algorithm

1×

intervals

Results

28.0ms	88×	body	1024	valid
6.0ms	39×	body	512	valid
3.0ms	7×	body	2048	valid
3.0ms	104×	body	128	valid
1.0ms	18×	body	256	valid

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	6
1	7	6

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

36.1b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

2.5b	(log.f64 (+.f64 1 x))

rewrite15.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

36.1b

Rules

4×	`log-prod_binary64_2210` `*-un-lft-identity_binary64_2124`
2×	`pow1_binary64_2185` `log-div_binary64_2211` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `add-exp-log_binary64_2162`
1×	`log-pow_binary64_2213` `flip3-+_binary64_2127` `flip-+_binary64_2098` `distribute-lft-out_binary64_2075` `rem-log-exp_binary64_2165` `add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160`

Counts

1 → 15

Calls

1 calls:

3.0ms

(log.f64 (+.f64 1 x))

Compiler

Compiled 152 to 124 computations (18.4% saved)

series40.0ms (1.6%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

27.0ms

(log.f64 (+.f64 1 x))

Compiler

Compiled 213 to 180 computations (15.5% saved)

simplify68.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5015	267

prune18.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	2	25

Error

0.0b

Counts

25 → 2

Compiler

Compiled 220 to 158 computations (28.2% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2)))
0.0b	(.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2))
0.2b	(.f64 x (+.f64 1/3 (.f64 x -1/4)))

rewrite93.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
9×	`add-sqr-sqrt_binary64_2146`
6×	`add-cube-cbrt_binary64_2159` `-un-lft-identity_binary64_2124` `associate-r*_binary64_2064`
5×	`add-log-exp_binary64_2163`
4×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `associate-r/_binary64_2066` `associate-l*_binary64_2065`
3×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `flip3-+_binary64_2127` `flip-+_binary64_2098`
2×	`unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `associate-+r+_binary64_2056`
1×	`sum-log_binary64_2215` `+-commutative_binary64_2054`

Counts

3 → 58

Calls

3 calls:

11.0ms	(.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2))
6.0ms	(.f64 x (+.f64 1/3 (.f64 x -1/4)))
4.0ms	(+.f64 x (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2)))

Compiler

Compiled 1487 to 969 computations (34.8% saved)

series141.0ms (5.6%)

Error

0.0b

Counts

3 → 19

Calls

3 calls:

54.0ms	(.f64 x (+.f64 1/3 (.f64 x -1/4)))
41.0ms	(.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2))
32.0ms	(+.f64 x (.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2)))

Compiler

Compiled 556 to 436 computations (21.6% saved)

simplify41.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5541	1360

prune71.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	77	2	79

Error

0.0b

Counts

79 → 2

Compiler

Compiled 1495 to 1008 computations (32.6% saved)

regimes66.0ms (2.6%)

Accuracy

Total 0.1b remaining (81.4%)

Threshold costs 0.1b (81.4%)

Compiler

Compiled 388 to 322 computations (17% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	37
1	27	37

Removed

()

end0.0ms (0%)

sample1.8s (70.7%)

Algorithm

1×

intervals

Results

870.0ms	2690×	body	1024	valid
217.0ms	1359×	body	512	valid
120.0ms	278×	body	2048	valid
95.0ms	3041×	body	128	valid
55.0ms	632×	body	256	valid

Compiler

Compiled 173 to 142 computations (17.9% saved)

Details

analyze111.0ms (4.4%)

sample50.0ms (2%)

simplify7.0ms (0.3%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite15.0ms (0.6%)

series40.0ms (1.6%)

simplify68.0ms (2.7%)

prune18.0ms (0.7%)

localize9.0ms (0.3%)

rewrite93.0ms (3.7%)

series141.0ms (5.6%)

simplify41.0ms (1.6%)

prune71.0ms (2.8%)

regimes66.0ms (2.6%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.8s (70.7%)

Profiling