Details

analyze73.0ms (6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	37.5%	6.3%	7
68.7%	25%	6.3%	8
71.8%	18.7%	9.5%	9
78%	12.5%	9.5%	10
79.6%	9.4%	11%	11
82.7%	6.2%	11%	12
83.6%	4.6%	11.8%	13
85.1%	3.1%	11.8%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample14.0ms (1.2%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 23 to 23 computations (0% saved)

simplify125.0ms (10.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	564	13
1	564	13

prune4.0ms (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

Merged error: 0b

Counts

2 → 2

Compiler

Compiled 29 to 26 computations (10.3% saved)

localize6.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

rewrite8.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
4×	`associate-r_binary64_1723`
3×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `add-cube-cbrt_binary64_1818` `associate-l_binary64_1724` `pow1_binary64_1844`
2×	`associate-*r/_binary64_1725`
1×	`distribute-lft-in_binary64_1732` `distribute-lft-out_binary64_1734` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `flip-+_binary64_1757` `*-commutative_binary64_1714` `distribute-rgt-in_binary64_1733` `flip3-+_binary64_1786` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751` `add-log-exp_binary64_1822`

Counts

1 → 23

Calls

1 calls:

6.0ms

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

series56.0ms (4.6%)

Counts

1 → 8

Calls

1 calls:

55.0ms

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

Compiler

Compiled 138 to 120 computations (13% saved)

simplify57.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4958	264
1	4958	264

prune26.0ms (2.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	31	2	33

Merged error: 0b

Counts

33 → 2

Compiler

Compiled 392 to 270 computations (31.1% saved)

localize7.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))
0.0b	(*.f64 x (-.f64 y 1))

rewrite20.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_1805`
13×	`cancel-sign-sub-inv_binary64_1749`
11×	`*-un-lft-identity_binary64_1783`
8×	`add-cube-cbrt_binary64_1818` `distribute-lft-in_binary64_1732` `distribute-rgt-in_binary64_1733` `associate--l+_binary64_1720`
7×	`associate-r_binary64_1723`
5×	`sub-neg_binary64_1776`
4×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `add-log-exp_binary64_1822` `pow1_binary64_1844`
3×	`associate-l_binary64_1724`
2×	`flip3--_binary64_1787` `associate-*r/_binary64_1725` `difference-of-squares_binary64_1752` `flip--_binary64_1758`
1×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `difference-of-sqr-1_binary64_1753` `distribute-lft-out--_binary64_1735` `diff-log_binary64_1875` `*-commutative_binary64_1714` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751`

Counts

2 → 52

Calls

2 calls:

8.0ms	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))
8.0ms	(*.f64 x (-.f64 y 1))

series159.0ms (13.1%)

Counts

2 → 21

Calls

2 calls:

95.0ms	(-.f64 (.f64 x (-.f64 y 1)) (.f64 y 1/2))
64.0ms	(*.f64 x (-.f64 y 1))

Compiler

Compiled 353 to 311 computations (11.9% saved)

simplify62.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5208	691

prune53.0ms (4.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	73	2	75

Merged error: 0b

Counts

75 → 2

Compiler

Compiled 957 to 642 computations (32.9% saved)

regimes51.0ms (4.2%)

Compiler: Compiled 188 to 188 computations (0% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample494.0ms (40.5%)

Algorithm

1×

intervals

Results

258.0ms	7998×	body	128	valid
2.0ms	62×	body	128	invalid
0.0ms	2×	body	1024	valid

Compiler

Compiled 57 to 57 computations (0% saved)

Details

analyze73.0ms (6%)

sample14.0ms (1.2%)

simplify125.0ms (10.2%)

prune4.0ms (0.3%)

localize6.0ms (0.5%)

rewrite8.0ms (0.7%)

series56.0ms (4.6%)

simplify57.0ms (4.7%)

prune26.0ms (2.1%)

localize7.0ms (0.6%)

rewrite20.0ms (1.6%)

series159.0ms (13.1%)

simplify62.0ms (5.1%)

prune53.0ms (4.3%)

regimes51.0ms (4.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample494.0ms (40.5%)

Profiling