Details

analyze877.0ms (16.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	52
1	67	52
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	48.6%	51.4%	0
0%	48.6%	51.4%	1
24.3%	24.3%	51.4%	2
24.3%	24.3%	51.4%	3
30.4%	18.2%	51.4%	4
30.4%	18.2%	51.4%	5
33.4%	15.2%	51.4%	6
33.4%	15.2%	51.4%	7
34.6%	14.1%	51.4%	8
34.8%	13.9%	51.4%	9
35.4%	13.2%	51.4%	10
35.6%	13.1%	51.4%	11
35.9%	12.7%	51.4%	12
36%	12.6%	51.4%	13
36.2%	12.4%	51.4%	14

Compiler

Compiled 22 to 18 computations (18.2% saved)

sample43.0ms (0.8%)

Algorithm

1×

intervals

Results

10.0ms	193×	body	128	valid
6.0ms	23×	body	2048	valid
5.0ms	256×	pre	128	true
4.0ms	18×	body	1024	valid
4.0ms	11×	body	4096	valid
1.0ms	7×	body	512	valid
0.0ms	4×	body	256	valid

Compiler

Compiled 39 to 34 computations (12.8% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	38	26
1	38	26

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

12.8b

Counts

2 → 1

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 4 p) p) (*.f64 x x))
0.0b	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 4 p) p) (*.f64 x x))))
0.2b	(+.f64 1 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 4 p) p) (*.f64 x x)))))
15.7b	(sqrt.f64 (+.f64 (.f64 (.f64 4 p) p) (*.f64 x x)))

rewrite155.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

12.6b

Rules

22×	`*-un-lft-identity_binary64_2124`
21×	`add-sqr-sqrt_binary64_2146`
20×	`add-cube-cbrt_binary64_2159`
18×	`times-frac_binary64_2130`
15×	`sqrt-prod_binary64_2140`
8×	`add-log-exp_binary64_2163`
6×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `associate-/r*_binary64_2068`
5×	`pow1_binary64_2185`
4×	`flip3-+_binary64_2127` `sqrt-div_binary64_2141` `flip-+_binary64_2098`
3×	`associate-/l*_binary64_2069`
2×	`sum-log_binary64_2215` `+-commutative_binary64_2054` `associate-/r/_binary64_2070`
1×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `distribute-lft-out_binary64_2075` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121`

Counts

4 → 79

Calls

4 calls:

13.0ms	(+.f64 1 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 4 p) p) (*.f64 x x)))))
8.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 4 p) p) (*.f64 x x))))
6.0ms	(+.f64 (.f64 (.f64 4 p) p) (*.f64 x x))
6.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 4 p) p) (*.f64 x x)))

Compiler

Compiled 2389 to 1490 computations (37.6% saved)

series447.0ms (8.5%)

Error

7.5b

Counts

4 → 47

Calls

4 calls:

115.0ms	(/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 4 p) p) (*.f64 x x))))
115.0ms	(+.f64 (.f64 (.f64 4 p) p) (*.f64 x x))
93.0ms	(+.f64 1 (/.f64 x (sqrt.f64 (+.f64 (.f64 (.f64 4 p) p) (*.f64 x x)))))
82.0ms	(sqrt.f64 (+.f64 (.f64 (.f64 4 p) p) (*.f64 x x)))

Compiler

Compiled 1722 to 1545 computations (10.3% saved)

simplify69.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4979	2452
1	4979	2452

prune134.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	125	2	127

Error

4.9b

Counts

127 → 2

Compiler

Compiled 2683 to 1632 computations (39.2% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 2 (/.f64 p (/.f64 (.f64 x x) p)))
0.1b	(/.f64 p (/.f64 (*.f64 x x) p))
0.2b	(/.f64 (*.f64 x x) p)
23.8b	(sqrt.f64 (.f64 1/2 (.f64 2 (/.f64 p (/.f64 (*.f64 x x) p)))))

rewrite159.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

3.5b

Rules

69×	`times-frac_binary64_2130`
45×	`add-sqr-sqrt_binary64_2146`
37×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
32×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
26×	`associate-r_binary64_2064`
12×	`pow1_binary64_2185` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158`
10×	`div-inv_binary64_2121` `associate-/r*_binary64_2068`
7×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
4×	`add-log-exp_binary64_2163` `pow-prod-down_binary64_2195` `associate-/l*_binary64_2069`
3×	`sqrt-pow1_binary64_2142` `associate-r/_binary64_2066` `unswap-sqr_binary64_2092` `associate-l*_binary64_2065`
2×	`frac-2neg_binary64_2135` `clear-num_binary64_2123` `associate-/r/_binary64_2070`
1×	`pow1/2_binary64_2204` `sqrt-div_binary64_2141` `sqrt-prod_binary64_2140` `*-commutative_binary64_2055`

Counts

4 → 132

Calls

4 calls:

14.0ms	(.f64 2 (/.f64 p (/.f64 (.f64 x x) p)))
8.0ms	(sqrt.f64 (.f64 1/2 (.f64 2 (/.f64 p (/.f64 (*.f64 x x) p)))))
7.0ms	(/.f64 p (/.f64 (*.f64 x x) p))
5.0ms	(/.f64 (*.f64 x x) p)

Compiler

Compiled 2638 to 1100 computations (58.3% saved)

series311.0ms (5.9%)

Error

Counts

4 → 24

Calls

4 calls:

100.0ms	(.f64 2 (/.f64 p (/.f64 (.f64 x x) p)))
85.0ms	(/.f64 p (/.f64 (*.f64 x x) p))
66.0ms	(/.f64 (*.f64 x x) p)
45.0ms	(sqrt.f64 (.f64 1/2 (.f64 2 (/.f64 p (/.f64 (*.f64 x x) p)))))

Compiler

Compiled 714 to 645 computations (9.7% saved)

simplify96.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4940	1917
1	4940	1917

prune111.0ms (2.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	154	2	156
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	155	3	158

Error

Counts

158 → 3

Compiler

Compiled 2419 to 1083 computations (55.2% saved)

localize2.0ms (0%)

rewrite2.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	1	1
Total	3	3

Error

Counts

3 → 3

Compiler

Compiled 4 to 4 computations (0% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Error

Counts

3 → 3

Compiler

Compiled 0 to 0 computations (0% saved)

regimes692.0ms (13.1%)

Accuracy

Total 5.5b remaining (98.8%)

Threshold costs 0b (0%)

Compiler

Compiled 8139 to 6250 computations (23.2% saved)

bsearch3.0ms (0%)

Compiler: Compiled 12 to 9 computations (25% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	70
1	37	70

end0.0ms (0%)

sample2.1s (40.1%)

Algorithm

1×

intervals

Results

307.0ms	6068×	body	128	valid
199.0ms	762×	body	2048	valid
154.0ms	8000×	pre	128	true
105.0ms	509×	body	1024	valid
88.0ms	282×	body	4096	valid
39.0ms	267×	body	512	valid
11.0ms	112×	body	256	valid

Compiler

Compiled 1100 to 842 computations (23.5% saved)

Details

analyze877.0ms (16.6%)

sample43.0ms (0.8%)

simplify10.0ms (0.2%)

prune3.0ms (0.1%)

localize17.0ms (0.3%)

rewrite155.0ms (2.9%)

series447.0ms (8.5%)

simplify69.0ms (1.3%)

prune134.0ms (2.5%)

localize9.0ms (0.2%)

rewrite159.0ms (3%)

series311.0ms (5.9%)

simplify96.0ms (1.8%)

prune111.0ms (2.1%)

localize2.0ms (0%)

rewrite2.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune1.0ms (0%)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune0.0ms (0%)

regimes692.0ms (13.1%)

bsearch3.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.1s (40.1%)

Profiling