Details

analyze5.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 20 to 16 computations (20% saved)

sample21.0ms (1.4%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify172.0ms (11.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5039	29

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

Counts

2 → 1

Compiler

Compiled 38 to 30 computations (21.1% saved)

localize11.0ms (0.8%)

Local error

Found 6 expressions with local error:

0.1b	(.f64 3 (.f64 v v))
0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.0b	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
0.0b	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.1b	(.f64 3 (.f64 v v))

rewrite48.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64_1464`
26×	`associate-l_binary64_1383`
22×	`add-cbrt-cube_binary64_1478` `times-frac_binary64_1448` `add-exp-log_binary64_1480`
21×	`*-un-lft-identity_binary64_1442`
20×	`add-cube-cbrt_binary64_1477`
18×	`frac-times_binary64_1452`
17×	`sqrt-prod_binary64_1458`
16×	`sqrt-div_binary64_1459`
15×	`pow1_binary64_1503`
14×	`flip3--_binary64_1446` `flip--_binary64_1417`
12×	`associate-r_binary64_1382`
10×	`associate-*r/_binary64_1384` `cbrt-unprod_binary64_1475` `prod-exp_binary64_1491`
9×	`associate-*l/_binary64_1385`
7×	`pow-prod-down_binary64_1513` `unswap-sqr_binary64_1410`
3×	`*-commutative_binary64_1373` `add-log-exp_binary64_1481`
2×	`cbrt-undiv_binary64_1476` `cancel-sign-sub-inv_binary64_1408` `sub-neg_binary64_1435` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `difference-of-squares_binary64_1411` `div-exp_binary64_1493`
1×	`div-inv_binary64_1439`

Counts

3 → 114

Calls

6 calls:

16.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
13.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
7.0ms	(.f64 3 (.f64 v v))
0.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))

series142.0ms (9.5%)

Counts

3 → 15

Calls

3 calls:

65.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
49.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
28.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 443 to 405 computations (8.6% saved)

simplify79.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5021	3284

prune188.0ms (12.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	129	1	130

Error

Counts

130 → 1

Compiler

Compiled 3385 to 2500 computations (26.1% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	86	83
1	86	83

regimes23.0ms (1.5%)

Compiler: Compiled 124 to 110 computations (11.3% saved)

bsearch0.0ms (0%)

regimes29.0ms (1.9%)

Compiler: Compiled 115 to 107 computations (7% saved)

bsearch0.0ms (0%)

regimes18.0ms (1.2%)

Compiler: Compiled 54 to 52 computations (3.7% saved)

bsearch0.0ms (0%)

regimes8.0ms (0.5%)

Compiler: Compiled 9 to 13 computations (-44.4% saved)

bsearch0.0ms (0%)

regimes7.0ms (0.5%)

Accuracy

Total 0.0b remaining (30.1%)

Threshold costs 0.0b (30.1%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch4.0ms (0.3%)

Compiler: Compiled 56 to 48 computations (14.3% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	86	84
1	86	84

end0.0ms (0%)

sample730.0ms (48.8%)

Algorithm

1×

intervals

Results

416.0ms	8000×	body	128	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 134 to 117 computations (12.7% saved)

Pareto

0.5161980305655985

Details

analyze5.0ms (0.4%)

sample21.0ms (1.4%)

simplify172.0ms (11.5%)

prune3.0ms (0.2%)

localize11.0ms (0.8%)

rewrite48.0ms (3.2%)

series142.0ms (9.5%)

simplify79.0ms (5.3%)

prune188.0ms (12.6%)

simplify4.0ms (0.2%)

regimes23.0ms (1.5%)

bsearch0.0ms (0%)

regimes29.0ms (1.9%)

bsearch0.0ms (0%)

regimes18.0ms (1.2%)

bsearch0.0ms (0%)

regimes8.0ms (0.5%)

bsearch0.0ms (0%)

regimes7.0ms (0.5%)

bsearch4.0ms (0.3%)

simplify3.0ms (0.2%)

end0.0ms (0%)

sample730.0ms (48.8%)

Profiling