Details

analyze57.0ms (6.1%)

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
50%	50%	0.1%	5
50%	50%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	25%	1.7%	8
80.4%	16.4%	3.2%	9
80.8%	14%	5.2%	10
84.1%	8.8%	7.1%	11
84.2%	7.4%	8.4%	12
85.8%	4.5%	9.7%	13
85.8%	3.8%	10.4%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample11.0ms (1.2%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	8×	body	80	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify14.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	14	10
1	14	10

prune3.0ms (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: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 x y) (+.f64 y y))

rewrite17.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`*-un-lft-identity_binary64`
48×	`times-frac_binary64`
39×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
28×	`distribute-lft-out_binary64`
15×	`distribute-rgt-out_binary64`
12×	`associate-/r*_binary64`
5×	`count-2_binary64` `distribute-lft1-in_binary64` `distribute-rgt1-in_binary64`
4×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

1 → 80

Calls

1 calls:

13.0ms

(/.f64 (+.f64 x y) (+.f64 y y))

series6.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

6.0ms

(/.f64 (+.f64 x y) (+.f64 y y))

simplify95.0ms (10%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5604	1417

prune41.0ms (4.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	2	84

Merged error: 0b

Counts

84 → 2

Compiler

Compiled 1138 to 318 computations (72.1% saved)

localize5.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 1/2 (*.f64 x (/.f64 1/2 y)))
0.3b	(*.f64 x (/.f64 1/2 y))

rewrite12.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`associate-l_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 43

Calls

2 calls:

7.0ms	(*.f64 x (/.f64 1/2 y))
3.0ms	(+.f64 1/2 (*.f64 x (/.f64 1/2 y)))

series8.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

4.0ms	(+.f64 1/2 (*.f64 x (/.f64 1/2 y)))
3.0ms	(*.f64 x (/.f64 1/2 y))

simplify90.0ms (9.6%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4919	544
1	4919	544

prune28.0ms (3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	49	2	51

Merged error: 0b

Counts

51 → 2

Compiler

Compiled 576 to 409 computations (29% saved)

regimes59.0ms (6.3%)

Compiler: Compiled 60 to 54 computations (10% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

end0.0ms (0%)

sample488.0ms (51.8%)

Algorithm

1×

intervals

Results

161.0ms	8000×	body	80	valid
4.0ms	197×	body	80	invalid

Compiler

Compiled 36 to 32 computations (11.1% saved)

Details

analyze57.0ms (6.1%)

sample11.0ms (1.2%)

simplify14.0ms (1.5%)

prune3.0ms (0.3%)

localize4.0ms (0.4%)

rewrite17.0ms (1.8%)

series6.0ms (0.7%)

simplify95.0ms (10%)

prune41.0ms (4.3%)

localize5.0ms (0.5%)

rewrite12.0ms (1.3%)

series8.0ms (0.8%)

simplify90.0ms (9.6%)

prune28.0ms (3%)

regimes59.0ms (6.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.3%)

end0.0ms (0%)

sample488.0ms (51.8%)

Profiling