Details

analyze255.0ms (14.9%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	20
1	21	20
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	50%	0.1%	6
71.8%	28.1%	0.1%	7
71.8%	28.1%	0.1%	7
73.4%	25%	1.7%	8
73.4%	25%	1.7%	8
80.4%	16.4%	3.2%	9
80.4%	16.4%	3.2%	9
80.8%	14%	5.2%	10
80.8%	14%	5.2%	10
84.1%	8.8%	7.1%	11
84.1%	8.8%	7.1%	11
84.2%	7.4%	8.4%	12
84.2%	7.4%	8.4%	12
85.8%	4.5%	9.7%	13
85.8%	4.5%	9.7%	13
85.8%	3.8%	10.4%	14
85.8%	3.8%	10.4%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample112.0ms (6.5%)

Algorithm

2×

intervals

Results

10.0ms	512×	body	128	valid
1.0ms	64×	body	128	invalid

Compiler

Compiled 2311 to 2309 computations (0.1% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	14	10
1	14	10

prune3.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite82.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

75×	`*-un-lft-identity_binary64_20197`
48×	`times-frac_binary64_20203`
39×	`add-cube-cbrt_binary64_20232` `add-sqr-sqrt_binary64_20219`
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×	`flip3-+_binary64_20200` `associate-/l/_binary64_20144` `flip-+_binary64_20171` `associate-/r/_binary64_20143`
1×	`pow1_binary64_20258` `div-exp_binary64_20248` `add-log-exp_binary64_20236` `cbrt-undiv_binary64_20231` `frac-2neg_binary64_20208` `clear-num_binary64_20196` `div-inv_binary64_20194`

Counts

1 → 80

Calls

1 calls:

10.0ms

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

Compiler

Compiled 1241 to 306 computations (75.3% saved)

series152.0ms (8.9%)

Error

Counts

1 → 12

Calls

1 calls:

141.0ms

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

Compiler

Compiled 162 to 144 computations (11.1% saved)

simplify78.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5190	1471

prune66.0ms (3.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	1	93

Error

Counts

93 → 1

Compiler

Compiled 1177 to 335 computations (71.5% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite33.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

1 → 32

Calls

1 calls:

7.0ms

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

Compiler

Compiled 437 to 258 computations (41% saved)

series93.0ms (5.5%)

Error

Counts

1 → 6

Calls

1 calls:

90.0ms

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

Compiler

Compiled 126 to 111 computations (11.9% saved)

simplify97.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5013	368

prune28.0ms (1.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	1	39

Error

Counts

39 → 1

Compiler

Compiled 431 to 249 computations (42.2% saved)

regimes82.0ms (4.8%)

Accuracy

Total 0.0b remaining (99.6%)

Threshold costs 0.0b (99.6%)

Compiler

Compiled 528 to 333 computations (36.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample610.0ms (35.7%)

Algorithm

1×

intervals

Results

172.0ms	8000×	body	128	valid
33.0ms	1163×	body	128	invalid

Compiler

Compiled 171 to 116 computations (32.2% saved)

Details

analyze255.0ms (14.9%)

sample112.0ms (6.5%)

simplify7.0ms (0.4%)

prune3.0ms (0.2%)

localize5.0ms (0.3%)

rewrite82.0ms (4.8%)

series152.0ms (8.9%)

simplify78.0ms (4.5%)

prune66.0ms (3.9%)

localize4.0ms (0.3%)

rewrite33.0ms (2%)

series93.0ms (5.5%)

simplify97.0ms (5.7%)

prune28.0ms (1.6%)

regimes82.0ms (4.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample610.0ms (35.7%)

Profiling