Details

analyze6.0ms (0.2%)

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 (0.9%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify167.0ms (7.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5039	29

prune3.0ms (0.1%)

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 38 to 30 computations (21.1% saved)

localize12.0ms (0.5%)

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 (/.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)))))
0.1b	(.f64 3 (.f64 v v))

rewrite46.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64_1758`
26×	`associate-l_binary64_1677`
22×	`times-frac_binary64_1742` `add-cbrt-cube_binary64_1772` `add-exp-log_binary64_1774`
21×	`*-un-lft-identity_binary64_1736`
20×	`add-cube-cbrt_binary64_1771`
18×	`frac-times_binary64_1746`
17×	`sqrt-prod_binary64_1752`
16×	`sqrt-div_binary64_1753`
15×	`pow1_binary64_1797`
14×	`flip--_binary64_1711` `flip3--_binary64_1740`
12×	`associate-r_binary64_1676`
10×	`cbrt-unprod_binary64_1769` `associate-*r/_binary64_1678` `prod-exp_binary64_1785`
9×	`associate-*l/_binary64_1679`
7×	`unswap-sqr_binary64_1704` `pow-prod-down_binary64_1807`
3×	`add-log-exp_binary64_1775` `*-commutative_binary64_1667`
2×	`cancel-sign-sub-inv_binary64_1702` `cbrt-undiv_binary64_1770` `difference-of-squares_binary64_1705` `sub-neg_binary64_1729` `div-exp_binary64_1787` `distribute-rgt-in_binary64_1686` `distribute-lft-in_binary64_1685`
1×	`div-inv_binary64_1733`

Counts

3 → 114

Calls

6 calls:

14.0ms	(.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)))))
6.0ms	(.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)))))

series149.0ms (6.4%)

Counts

3 → 15

Calls

3 calls:

68.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
51.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))
29.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 443 to 405 computations (8.6% saved)

simplify79.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5021	3284

prune197.0ms (8.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	128	2	130

Error

Counts

130 → 2

Compiler

Compiled 3404 to 2515 computations (26.1% saved)

localize12.0ms (0.5%)

Local error

Found 6 expressions with local error:

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

rewrite47.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`associate-l_binary64_1677`
26×	`add-sqr-sqrt_binary64_1758`
22×	`add-cbrt-cube_binary64_1772` `add-exp-log_binary64_1774`
21×	`*-un-lft-identity_binary64_1736`
20×	`frac-times_binary64_1746` `add-cube-cbrt_binary64_1771`
18×	`times-frac_binary64_1742` `flip--_binary64_1711` `flip3--_binary64_1740` `sqrt-div_binary64_1753`
15×	`pow1_binary64_1797`
14×	`associate-*r/_binary64_1678`
13×	`sqrt-prod_binary64_1752`
10×	`cbrt-unprod_binary64_1769` `distribute-rgt-in_binary64_1686` `distribute-lft-in_binary64_1685` `prod-exp_binary64_1785`
7×	`associate-r_binary64_1676` `associate-*l/_binary64_1679` `pow-prod-down_binary64_1807`
6×	`cancel-sign-sub-inv_binary64_1702` `sub-neg_binary64_1729`
3×	`add-log-exp_binary64_1775` `*-commutative_binary64_1667` `unswap-sqr_binary64_1704`
2×	`cbrt-undiv_binary64_1770` `difference-of-squares_binary64_1705` `div-exp_binary64_1787`
1×	`div-inv_binary64_1733`

Counts

3 → 121

Calls

6 calls:

16.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
10.0ms	(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))
6.0ms	(.f64 3 (.f64 v v))
0.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
0.0ms	(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))

series134.0ms (5.8%)

Counts

3 → 15

Calls

3 calls:

66.0ms	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
43.0ms	(.f64 (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v)))) (-.f64 1 (.f64 v v)))
25.0ms	(.f64 3 (.f64 v v))

Compiler

Compiled 398 to 374 computations (6% saved)

simplify64.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5173	3669

prune202.0ms (8.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	136	2	138

Error

Counts

138 → 2

Compiler

Compiled 3632 to 2650 computations (27% saved)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	125	202
1	125	202

regimes38.0ms (1.6%)

Accuracy

Total 0.0b remaining (54%)

Threshold costs 0.0b (54%)

Compiler

Compiled 280 to 242 computations (13.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	29
1	54	29

end0.0ms (0%)

sample1.1s (49.1%)

Algorithm

1×

intervals

Results

404.0ms	8000×	body	128	valid
0.0ms	3×	body	128	nan

Compiler

Compiled 428 to 371 computations (13.3% saved)

Pareto

0.7496203491182899

Details

analyze6.0ms (0.2%)

sample21.0ms (0.9%)

simplify167.0ms (7.2%)

prune3.0ms (0.1%)

localize12.0ms (0.5%)

rewrite46.0ms (2%)

series149.0ms (6.4%)

simplify79.0ms (3.4%)

prune197.0ms (8.5%)

localize12.0ms (0.5%)

rewrite47.0ms (2%)

series134.0ms (5.8%)

simplify64.0ms (2.7%)

prune202.0ms (8.7%)

simplify9.0ms (0.4%)

regimes38.0ms (1.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (49.1%)

Profiling