Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	25%	13
75%	0%	25%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample10.0ms (0.2%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify208.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	21	10
1	21	10

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_2146`
12×	`times-frac_binary64_2130`
10×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
4×	`difference-of-squares_binary64_2093` `associate-/l*_binary64_2069`
3×	`associate-/r*_binary64_2068` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
2×	`associate-/l/_binary64_2071`
1×	`flip--_binary64_2099` `clear-num_binary64_2123` `flip3--_binary64_2128` `cbrt-undiv_binary64_2158` `pow1_binary64_2185` `add-log-exp_binary64_2163` `div-sub_binary64_2129` `div-inv_binary64_2121` `div-exp_binary64_2175` `frac-2neg_binary64_2135`

Counts

1 → 34

Calls

1 calls:

8.0ms

(/.f64 (-.f64 (*.f64 x x) 3) 6)

series104.0ms (2.2%)

Counts

1 → 3

Calls

1 calls:

104.0ms

(/.f64 (-.f64 (*.f64 x x) 3) 6)

simplify88.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5817	602

prune47.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	5	38

Merged error: 0b

Counts

38 → 5

Compiler

Compiled 576 to 395 computations (31.4% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (-.f64 (*.f64 x x) 3))
0.2b	(cbrt.f64 (-.f64 (*.f64 x x) 3))
0.2b	(cbrt.f64 (-.f64 (*.f64 x x) 3))
0.2b	(.f64 (cbrt.f64 (-.f64 (.f64 x x) 3)) (cbrt.f64 (-.f64 (*.f64 x x) 3)))

rewrite49.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`cbrt-prod_binary64_2155`
30×	`add-sqr-sqrt_binary64_2146`
18×	`cbrt-div_binary64_2156`
15×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
11×	`pow1_binary64_2185`
9×	`flip--_binary64_2099` `flip3--_binary64_2128` `pow1/3_binary64_2206`
7×	`difference-of-squares_binary64_2093` `swap-sqr_binary64_2091` `associate-l_binary64_2065` `associate-r_binary64_2064`
6×	`add-exp-log_binary64_2162`
4×	`unswap-sqr_binary64_2092` `add-log-exp_binary64_2163` `frac-times_binary64_2134` `add-cbrt-cube_binary64_2160`
2×	`pow-prod-down_binary64_2195` `pow-prod-up_binary64_2194` `associate-l/_binary64_2067` `associate-r/_binary64_2066` `pow-sqr_binary64_2097`
1×	`*-commutative_binary64_2055` `prod-exp_binary64_2173` `pow-plus_binary64_2187` `pow2_binary64_2205` `cbrt-unprod_binary64_2157`

Counts

4 → 93

Calls

4 calls:

24.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 x x) 3)) (cbrt.f64 (-.f64 (*.f64 x x) 3)))
5.0ms	(cbrt.f64 (-.f64 (*.f64 x x) 3))
5.0ms	(cbrt.f64 (-.f64 (*.f64 x x) 3))
5.0ms	(cbrt.f64 (-.f64 (*.f64 x x) 3))

series491.0ms (10.4%)

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt.f64 (-.f64 (*.f64 x x) 3))
122.0ms	(.f64 (cbrt.f64 (-.f64 (.f64 x x) 3)) (cbrt.f64 (-.f64 (*.f64 x x) 3)))
118.0ms	(cbrt.f64 (-.f64 (*.f64 x x) 3))
115.0ms	(cbrt.f64 (-.f64 (*.f64 x x) 3))

simplify105.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4913	1909
1	4913	1909

prune183.0ms (3.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	105	5	110

Merged error: 0b

Counts

110 → 5

Compiler

Compiled 2963 to 1957 computations (34% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (sqrt.f64 3))
0.0b	(+.f64 x (sqrt.f64 3))
0.1b	(/.f64 (+.f64 x (sqrt.f64 3)) (/.f64 6 (-.f64 x (sqrt.f64 3))))
0.6b	(/.f64 6 (-.f64 x (sqrt.f64 3)))

rewrite72.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

204×	`times-frac_binary64_2130`
184×	`*-un-lft-identity_binary64_2124`
172×	`add-sqr-sqrt_binary64_2146`
92×	`add-cube-cbrt_binary64_2159`
40×	`difference-of-squares_binary64_2093`
30×	`associate-/r*_binary64_2068`
26×	`distribute-lft-out_binary64_2075`
23×	`sqrt-prod_binary64_2140`
20×	`distribute-lft-out--_binary64_2076`
13×	`associate-/r/_binary64_2070`
11×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
8×	`add-log-exp_binary64_2163`
7×	`flip--_binary64_2099` `flip3--_binary64_2128` `associate-/l*_binary64_2069` `div-inv_binary64_2121`
6×	`cancel-sign-sub-inv_binary64_2090`
4×	`cbrt-undiv_binary64_2158` `pow1_binary64_2185` `div-exp_binary64_2175`
2×	`clear-num_binary64_2123` `flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-/l/_binary64_2071` `frac-2neg_binary64_2135`
1×	`sum-log_binary64_2215` `diff-log_binary64_2216` `+-commutative_binary64_2054` `sub-neg_binary64_2117`

Counts

4 → 214

Calls

4 calls:

19.0ms	(/.f64 (+.f64 x (sqrt.f64 3)) (/.f64 6 (-.f64 x (sqrt.f64 3))))
14.0ms	(/.f64 6 (-.f64 x (sqrt.f64 3)))
6.0ms	(-.f64 x (sqrt.f64 3))
4.0ms	(+.f64 x (sqrt.f64 3))

series477.0ms (10.1%)

Counts

4 → 12

Calls

4 calls:

303.0ms	(/.f64 (+.f64 x (sqrt.f64 3)) (/.f64 6 (-.f64 x (sqrt.f64 3))))
65.0ms	(/.f64 6 (-.f64 x (sqrt.f64 3)))
59.0ms	(-.f64 x (sqrt.f64 3))
49.0ms	(+.f64 x (sqrt.f64 3))

simplify129.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

226 → 226

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5016	5628

prune413.0ms (8.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	226	0	226
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	226	5	231

Merged error: 0b

Counts

231 → 5

Compiler

Compiled 4610 to 3780 computations (18% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 6 (+.f64 (.f64 x x) 3))
0.1b	(pow.f64 (*.f64 x x) 3)
0.2b	(.f64 (.f64 x x) (.f64 6 (+.f64 (.f64 x x) 3)))
14.4b	(/.f64 (-.f64 (pow.f64 (.f64 x x) 3) (pow.f64 3 3)) (+.f64 54 (.f64 (.f64 x x) (.f64 6 (+.f64 (*.f64 x x) 3)))))

rewrite87.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`add-sqr-sqrt_binary64_2146`
64×	`difference-of-squares_binary64_2093`
63×	`times-frac_binary64_2130`
41×	`*-un-lft-identity_binary64_2124`
33×	`unpow-prod-down_binary64_2203` `add-cube-cbrt_binary64_2159` `sqr-pow_binary64_2096` `cube-prod_binary64_2152`
26×	`pow1_binary64_2185`
23×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
21×	`associate-/l*_binary64_2069`
10×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
6×	`pow-pow_binary64_2196` `associate-*r/_binary64_2066`
5×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
4×	`distribute-lft-out--_binary64_2076` `add-log-exp_binary64_2163` `associate-l_binary64_2065` `difference-cubes_binary64_2126` `associate-r_binary64_2064`
3×	`pow-unpow_binary64_2201` `associate-/r*_binary64_2068` `flip3-+_binary64_2127` `flip-+_binary64_2098`
2×	`associate-/r/_binary64_2070` `pow-exp_binary64_2192` `*-commutative_binary64_2055` `associate-/l/_binary64_2071` `rem-cube-cbrt_binary64_2147`
1×	`flip--_binary64_2099` `unpow3_binary64_2190` `clear-num_binary64_2123` `flip3--_binary64_2128` `cbrt-undiv_binary64_2158` `unswap-sqr_binary64_2092` `pow-prod-up_binary64_2194` `cube-mult_binary64_2154` `pow-plus_binary64_2187` `pow-to-exp_binary64_2193` `pow2_binary64_2205` `pow-sqr_binary64_2097` `div-sub_binary64_2129` `div-inv_binary64_2121` `div-exp_binary64_2175` `frac-2neg_binary64_2135`

Counts

4 → 180

Calls

4 calls:

32.0ms	(/.f64 (-.f64 (pow.f64 (.f64 x x) 3) (pow.f64 3 3)) (+.f64 54 (.f64 (.f64 x x) (.f64 6 (+.f64 (*.f64 x x) 3)))))
16.0ms	(.f64 (.f64 x x) (.f64 6 (+.f64 (.f64 x x) 3)))
8.0ms	(.f64 6 (+.f64 (.f64 x x) 3))
4.0ms	(pow.f64 (*.f64 x x) 3)

series647.0ms (13.7%)

Counts

4 → 12

Calls

4 calls:

338.0ms	(/.f64 (-.f64 (pow.f64 (.f64 x x) 3) (pow.f64 3 3)) (+.f64 54 (.f64 (.f64 x x) (.f64 6 (+.f64 (*.f64 x x) 3)))))
136.0ms	(.f64 (.f64 x x) (.f64 6 (+.f64 (.f64 x x) 3)))
100.0ms	(.f64 6 (+.f64 (.f64 x x) 3))
73.0ms	(pow.f64 (*.f64 x x) 3)

simplify99.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	6137	6543

prune441.0ms (9.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	192	0	192
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	192	5	197

Merged error: 0b

Counts

197 → 5

Compiler

Compiled 6403 to 4246 computations (33.7% saved)

regimes174.0ms (3.7%)

Compiler: Compiled 1392 to 1094 computations (21.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms (0%)

sample826.0ms (17.5%)

Algorithm

1×

intervals

Results

242.0ms

8000×

body

128

valid

Compiler

Compiled 355 to 281 computations (20.8% saved)

Details

analyze4.0ms (0.1%)

sample10.0ms (0.2%)

simplify208.0ms (4.4%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite10.0ms (0.2%)

series104.0ms (2.2%)

simplify88.0ms (1.9%)

prune47.0ms (1%)

localize16.0ms (0.3%)

rewrite49.0ms (1%)

series491.0ms (10.4%)

simplify105.0ms (2.2%)

prune183.0ms (3.9%)

localize12.0ms (0.3%)

rewrite72.0ms (1.5%)

series477.0ms (10.1%)

simplify129.0ms (2.7%)

prune413.0ms (8.8%)

localize12.0ms (0.3%)

rewrite87.0ms (1.9%)

series647.0ms (13.7%)

simplify99.0ms (2.1%)

prune441.0ms (9.4%)

regimes174.0ms (3.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample826.0ms (17.5%)

Profiling