Details

analyze365.0ms (16.3%)

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
50%	50%	0.1%	4
50%	50%	0.1%	5
68.7%	31.2%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	14%	12.6%	8
74.1%	13.3%	12.6%	9
74.5%	6.6%	18.8%	10
74.7%	6.4%	18.8%	11
74.8%	3.2%	22%	12
74.9%	3.2%	22%	13
74.9%	1.6%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample27.0ms (1.2%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify193.0ms (8.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	212	10
1	212	10

prune16.0ms (0.7%)

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)

localize12.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

rewrite14.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64` `cancel-sign-sub-inv_binary64` `add-sqr-sqrt_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `flip--_binary64`

Counts

1 → 15

Calls

1 calls:

11.0ms

(-.f64 (*.f64 x x) y)

series45.0ms (2%)

Counts

1 → 3

Calls

1 calls:

45.0ms

(-.f64 (*.f64 x x) y)

simplify112.0ms (5%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4953	172
1	4953	172

prune26.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	2	19

Merged error: 0b

Counts

19 → 2

Compiler

Compiled 207 to 89 computations (57% saved)

localize19.0ms (0.9%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 x x) y)
0.9b	(-.f64 (pow.f64 x 4) (*.f64 y y))
26.1b	(/.f64 (-.f64 (pow.f64 x 4) (.f64 y y)) (+.f64 (.f64 x x) y))

rewrite48.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
18×	`times-frac_binary64`
15×	`difference-of-squares_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`add-log-exp_binary64`
6×	`associate-/l*_binary64`
5×	`sqr-pow_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `unpow-prod-down_binary64`
3×	`associate-/r*_binary64` `pow1_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `cancel-sign-sub-inv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 70

Calls

3 calls:

20.0ms	(/.f64 (-.f64 (pow.f64 x 4) (.f64 y y)) (+.f64 (.f64 x x) y))
9.0ms	(-.f64 (pow.f64 x 4) (*.f64 y y))
7.0ms	(+.f64 (*.f64 x x) y)

series158.0ms (7%)

Counts

3 → 9

Calls

3 calls:

84.0ms	(/.f64 (-.f64 (pow.f64 x 4) (.f64 y y)) (+.f64 (.f64 x x) y))
47.0ms	(-.f64 (pow.f64 x 4) (*.f64 y y))
26.0ms	(+.f64 (*.f64 x x) y)

simplify169.0ms (7.6%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (135.0ms)

Iter	Nodes	Cost
0	4905	1546
1	4905	1546

prune127.0ms (5.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	79	2	81

Merged error: 0b

Counts

81 → 2

Compiler

Compiled 1669 to 668 computations (60% saved)

regimes119.0ms (5.3%)

Compiler: Compiled 304 to 239 computations (21.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms (0%)

sample786.0ms (35.1%)

Algorithm

1×

intervals

Results

340.0ms	7997×	body	128	valid
7.0ms	166×	body	128	invalid
0.0ms	3×	body	1024	valid

Compiler

Compiled 69 to 56 computations (18.8% saved)

Details

analyze365.0ms (16.3%)

sample27.0ms (1.2%)

simplify193.0ms (8.6%)

prune16.0ms (0.7%)

localize12.0ms (0.5%)

rewrite14.0ms (0.6%)

series45.0ms (2%)

simplify112.0ms (5%)

prune26.0ms (1.2%)

localize19.0ms (0.9%)

rewrite48.0ms (2.1%)

series158.0ms (7%)

simplify169.0ms (7.6%)

prune127.0ms (5.7%)

regimes119.0ms (5.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample786.0ms (35.1%)

Profiling