Details

analyze70.0ms (5.6%)

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
12.5%	87.4%	0.1%	4
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
56.2%	40.6%	3.2%	7
64%	29.7%	6.3%	8
71%	20.3%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
81.3%	7.7%	11%	12
83.2%	5%	11.8%	13
84.4%	3.8%	11.8%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (1%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify19.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	238	10
1	238	10

prune2.0ms (0.2%)

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: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite21.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
3×	`associate-r_binary64` `cancel-sign-sub-inv_binary64`
2×	`associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

11.0ms	(*.f64 (+.f64 x 1) y)
7.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)

series69.0ms (5.6%)

Counts

2 → 6

Calls

2 calls:

38.0ms	(*.f64 (+.f64 x 1) y)
31.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)

simplify62.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5019	449

prune33.0ms (2.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	2	42

Merged error: 0b

Counts

42 → 2

Compiler

Compiled 507 to 327 computations (35.5% saved)

localize8.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1)) x)
5.1b	(.f64 y (-.f64 (.f64 x x) 1))
11.1b	(/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1))

rewrite47.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`cancel-sign-sub-inv_binary64`
7×	`associate-/r*_binary64` `difference-of-squares_binary64` `times-frac_binary64`
6×	`associate-r_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`flip3--_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64`
3×	`sub-neg_binary64` `difference-of-sqr-1_binary64` `associate-l_binary64` `distribute-lft-out--_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

3 → 80

Calls

3 calls:

17.0ms	(-.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1)) x)
14.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1))
9.0ms	(.f64 y (-.f64 (.f64 x x) 1))

series321.0ms (26.1%)

Counts

3 → 9

Calls

3 calls:

145.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1))
92.0ms	(-.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1)) x)
85.0ms	(.f64 y (-.f64 (.f64 x x) 1))

simplify66.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4941	1217
1	4941	1217

prune71.0ms (5.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	89	2	91

Merged error: 0b

Counts

91 → 2

Compiler

Compiled 1431 to 850 computations (40.6% saved)

regimes27.0ms (2.2%)

Compiler: Compiled 78 to 68 computations (12.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample398.0ms (32.3%)

Algorithm

1×

intervals

Results

196.0ms	7998×	body	128	valid
2.0ms	70×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 35 to 31 computations (11.4% saved)

Details

analyze70.0ms (5.6%)

sample12.0ms (1%)

simplify19.0ms (1.5%)

prune2.0ms (0.2%)

localize5.0ms (0.4%)

rewrite21.0ms (1.7%)

series69.0ms (5.6%)

simplify62.0ms (5.1%)

prune33.0ms (2.7%)

localize8.0ms (0.7%)

rewrite47.0ms (3.8%)

series321.0ms (26.1%)

simplify66.0ms (5.3%)

prune71.0ms (5.8%)

regimes27.0ms (2.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample398.0ms (32.3%)

Profiling