Details

analyze116.0ms (6.3%)

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
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)

sample23.0ms (1.3%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify179.0ms (9.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	14	10
1	14	10

prune4.0ms (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 10 computations (28.6% saved)

localize9.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

rewrite31.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`*-un-lft-identity_binary64_20197`
48×	`times-frac_binary64_20203`
39×	`add-sqr-sqrt_binary64_20219` `add-cube-cbrt_binary64_20232`
28×	`distribute-lft-out_binary64_20148`
15×	`distribute-rgt-out_binary64_20150`
12×	`associate-/r*_binary64_20141`
5×	`distribute-rgt1-in_binary64_20153` `distribute-lft1-in_binary64_20152` `count-2_binary64_20145`
4×	`associate-/l*_binary64_20142`
3×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233`
2×	`associate-/r/_binary64_20143` `associate-/l/_binary64_20144` `flip3-+_binary64_20200` `flip-+_binary64_20171`
1×	`frac-2neg_binary64_20208` `clear-num_binary64_20196` `add-log-exp_binary64_20236` `div-inv_binary64_20194` `div-exp_binary64_20248` `cbrt-undiv_binary64_20231` `pow1_binary64_20258`

Counts

1 → 80

Calls

1 calls:

18.0ms

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

series46.0ms (2.5%)

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify143.0ms (7.7%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	5190	1417

prune100.0ms (5.4%)

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 316 computations (72.2% saved)

localize9.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.2b	(*.f64 x (/.f64 1/2 y))

rewrite19.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_20219`
13×	`associate-r_binary64_20137`
10×	`times-frac_binary64_20203`
9×	`*-un-lft-identity_binary64_20197` `add-cube-cbrt_binary64_20232`
6×	`add-exp-log_binary64_20235` `add-cbrt-cube_binary64_20233`
3×	`associate-l_binary64_20138` `pow1_binary64_20258`
2×	`cbrt-unprod_binary64_20230` `unswap-sqr_binary64_20165` `prod-exp_binary64_20246`
1×	`add-log-exp_binary64_20236` `div-inv_binary64_20194` `div-exp_binary64_20248` `-commutative_binary64_20128` `pow-prod-down_binary64_20268` `associate-r/_binary64_20139` `cbrt-undiv_binary64_20231`

Counts

1 → 32

Calls

1 calls:

14.0ms

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

series25.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify139.0ms (7.5%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	4941	347
1	4941	347

prune52.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	35	2	37

Merged error: 0b

Counts

37 → 2

Compiler

Compiled 410 to 290 computations (29.3% saved)

regimes77.0ms (4.2%)

Compiler: Compiled 222 to 153 computations (31.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

end0.0ms (0%)

sample868.0ms (47.1%)

Algorithm

1×

intervals

Results

353.0ms	8000×	body	128	valid
9.0ms	204×	body	128	invalid

Compiler

Compiled 90 to 65 computations (27.8% saved)

Details

analyze116.0ms (6.3%)

sample23.0ms (1.3%)

simplify179.0ms (9.7%)

prune4.0ms (0.2%)

localize9.0ms (0.5%)

rewrite31.0ms (1.7%)

series46.0ms (2.5%)

simplify143.0ms (7.7%)

prune100.0ms (5.4%)

localize9.0ms (0.5%)

rewrite19.0ms (1%)

series25.0ms (1.4%)

simplify139.0ms (7.5%)

prune52.0ms (2.8%)

regimes77.0ms (4.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample868.0ms (47.1%)

Profiling