Details

analyze128.0ms (4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
31.2%	50%	18.8%	7
34.3%	43.7%	22%	8
45.3%	26.5%	28.2%	9
46.8%	23.4%	29.8%	10
48.8%	14%	37.2%	11
49.8%	12.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	6.1%	40.6%	14

Compiler

Compiled 20 to 12 computations (40% saved)

sample19.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	21×	body	128	invalid

Compiler

Compiled 39 to 25 computations (35.9% saved)

simplify312.0ms (9.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (145.0ms)

Iter	Nodes	Cost
0	4915	20
1	4915	20

prune6.0ms (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

Merged error: 0.1b

Counts

2 → 2

Compiler

Compiled 71 to 49 computations (31% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
0.2b	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
0.3b	(.f64 (.f64 x.re x.im) 3)

rewrite32.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-exp-log_binary64_2525` `add-cbrt-cube_binary64_2523` `pow1_binary64_2548`
12×	`cancel-sign-sub-inv_binary64_2453`
9×	`prod-exp_binary64_2536` `cbrt-unprod_binary64_2520` `pow-prod-down_binary64_2558`
8×	`*-un-lft-identity_binary64_2487` `add-cube-cbrt_binary64_2522` `add-sqr-sqrt_binary64_2509`
5×	`add-log-exp_binary64_2526`
4×	`associate-l_binary64_2428` `associate-r_binary64_2427`
3×	`unpow-prod-down_binary64_2566` `cube-prod_binary64_2515`
2×	`*-commutative_binary64_2418`
1×	`flip--_binary64_2462` `sub-neg_binary64_2480` `unpow3_binary64_2553` `diff-log_binary64_2579` `cube-mult_binary64_2517` `sqr-pow_binary64_2459` `flip3--_binary64_2491`

Counts

3 → 62

Calls

3 calls:

14.0ms	(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
8.0ms	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
6.0ms	(.f64 (.f64 x.re x.im) 3)

series165.0ms (5.2%)

Counts

3 → 9

Calls

3 calls:

101.0ms	(-.f64 (.f64 x.re (.f64 (*.f64 x.re x.im) 3)) (pow.f64 x.im 3))
34.0ms	(.f64 x.re (.f64 (*.f64 x.re x.im) 3))
30.0ms	(.f64 (.f64 x.re x.im) 3)

simplify96.0ms (3%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4911	985
1	4911	985

prune126.0ms (4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	68	5	73

Merged error: 0.0b

Counts

73 → 5

Compiler

Compiled 1951 to 1402 computations (28.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x.re (.f64 x.re (*.f64 x.im 3))) (pow.f64 x.im 3))
0.2b	(.f64 x.re (.f64 x.re (*.f64 x.im 3)))
0.2b	(.f64 x.re (.f64 x.im 3))

rewrite29.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-exp-log_binary64_2525` `add-cbrt-cube_binary64_2523` `pow1_binary64_2548`
12×	`cancel-sign-sub-inv_binary64_2453`
9×	`prod-exp_binary64_2536` `cbrt-unprod_binary64_2520` `pow-prod-down_binary64_2558`
8×	`*-un-lft-identity_binary64_2487` `add-cube-cbrt_binary64_2522` `add-sqr-sqrt_binary64_2509`
6×	`associate-l_binary64_2428`
5×	`add-log-exp_binary64_2526`
3×	`unpow-prod-down_binary64_2566` `cube-prod_binary64_2515`
2×	`-commutative_binary64_2418` `associate-r*_binary64_2427`
1×	`flip--_binary64_2462` `sub-neg_binary64_2480` `unpow3_binary64_2553` `diff-log_binary64_2579` `cube-mult_binary64_2517` `sqr-pow_binary64_2459` `flip3--_binary64_2491`

Counts

3 → 62

Calls

3 calls:

11.0ms	(-.f64 (.f64 x.re (.f64 x.re (*.f64 x.im 3))) (pow.f64 x.im 3))
8.0ms	(.f64 x.re (.f64 x.re (*.f64 x.im 3)))
5.0ms	(.f64 x.re (.f64 x.im 3))

series170.0ms (5.4%)

Counts

3 → 9

Calls

3 calls:

104.0ms	(-.f64 (.f64 x.re (.f64 x.re (*.f64 x.im 3))) (pow.f64 x.im 3))
37.0ms	(.f64 x.re (.f64 x.re (*.f64 x.im 3)))
29.0ms	(.f64 x.re (.f64 x.im 3))

simplify88.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4908	980
1	4908	980

prune61.0ms (1.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	71	5	76

Merged error: 0.0b

Counts

76 → 5

Compiler

Compiled 1080 to 770 computations (28.7% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
0.1b	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
0.1b	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
8.6b	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)

rewrite35.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-*l/_binary64_2430` `add-sqr-sqrt_binary64_2509`
8×	`add-exp-log_binary64_2525` `*-un-lft-identity_binary64_2487` `add-cube-cbrt_binary64_2522` `add-cbrt-cube_binary64_2523` `pow1_binary64_2548` `add-log-exp_binary64_2526`
7×	`associate-l_binary64_2428`
6×	`associate-r_binary64_2427`
5×	`flip-+_binary64_2461` `flip3-+_binary64_2490`
4×	`frac-add_binary64_2495`
3×	`flip--_binary64_2462` `flip3--_binary64_2491`
2×	`unswap-sqr_binary64_2455` `*-commutative_binary64_2418` `prod-exp_binary64_2536` `+-commutative_binary64_2417` `sum-log_binary64_2578` `cbrt-unprod_binary64_2520` `pow-prod-down_binary64_2558`
1×	`difference-of-squares_binary64_2456`

Counts

4 → 67

Calls

4 calls:

9.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
7.0ms	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
7.0ms	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
4.0ms	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))

series270.0ms (8.5%)

Counts

4 → 12

Calls

4 calls:

112.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
90.0ms	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
34.0ms	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
33.0ms	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))

simplify69.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4735	1640
1	4735	1640

prune91.0ms (2.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	79	5	84

Merged error: 0.0b

Counts

84 → 5

Compiler

Compiled 2135 to 957 computations (55.2% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
0.1b	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 x.im (-.f64 x.re x.im))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
0.1b	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
0.1b	(.f64 (+.f64 x.re x.im) (.f64 x.im (-.f64 x.re x.im)))

rewrite58.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`distribute-rgt-in_binary64_2437` `distribute-lft-in_binary64_2436`
24×	`associate-l/_binary64_2430` `cancel-sign-sub-inv_binary64_2453` `associate-r/_binary64_2429`
20×	`flip-+_binary64_2461` `flip3-+_binary64_2490`
17×	`*-un-lft-identity_binary64_2487` `add-sqr-sqrt_binary64_2509`
16×	`associate-+l+_binary64_2420` `frac-add_binary64_2495`
15×	`add-cube-cbrt_binary64_2522`
12×	`frac-times_binary64_2497`
11×	`add-exp-log_binary64_2525` `add-cbrt-cube_binary64_2523` `pow1_binary64_2548`
9×	`flip--_binary64_2462` `flip3--_binary64_2491`
8×	`sub-neg_binary64_2480` `add-log-exp_binary64_2526`
7×	`associate-l_binary64_2428`
4×	`prod-exp_binary64_2536` `cbrt-unprod_binary64_2520` `pow-prod-down_binary64_2558` `associate-r_binary64_2427`
2×	`*-commutative_binary64_2418` `+-commutative_binary64_2417` `sum-log_binary64_2578`
1×	`unswap-sqr_binary64_2455` `distribute-lft-out_binary64_2438`

Counts

4 → 117

Calls

4 calls:

16.0ms	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 x.im (-.f64 x.re x.im))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
12.0ms	(.f64 (+.f64 x.re x.im) (.f64 x.im (-.f64 x.re x.im)))
7.0ms	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
4.0ms	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))

series309.0ms (9.7%)

Counts

4 → 12

Calls

4 calls:

119.0ms	(.f64 (+.f64 x.re x.im) (.f64 x.im (-.f64 x.re x.im)))
117.0ms	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 x.im (-.f64 x.re x.im))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
38.0ms	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
35.0ms	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)

simplify97.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4895	3456
1	4895	3456

prune178.0ms (5.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	126	3	129
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	126	8	134

Merged error: 0.0b

Counts

134 → 8

Compiler

Compiled 4369 to 1936 computations (55.7% saved)

regimes42.0ms (1.3%)

Compiler: Compiled 416 to 276 computations (33.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	20
1	24	20

end0.0ms (0%)

sample749.0ms (23.6%)

Algorithm

1×

intervals

Results

365.0ms	8000×	body	128	valid
27.0ms	596×	body	128	invalid

Compiler

Compiled 254 to 168 computations (33.9% saved)

Details

analyze128.0ms (4%)

sample19.0ms (0.6%)

simplify312.0ms (9.8%)

prune6.0ms (0.2%)

localize7.0ms (0.2%)

rewrite32.0ms (1%)

series165.0ms (5.2%)

simplify96.0ms (3%)

prune126.0ms (4%)

localize7.0ms (0.2%)

rewrite29.0ms (0.9%)

series170.0ms (5.4%)

simplify88.0ms (2.8%)

prune61.0ms (1.9%)

localize13.0ms (0.4%)

rewrite35.0ms (1.1%)

series270.0ms (8.5%)

simplify69.0ms (2.2%)

prune91.0ms (2.9%)

localize11.0ms (0.4%)

rewrite58.0ms (1.8%)

series309.0ms (9.7%)

simplify97.0ms (3.1%)

prune178.0ms (5.6%)

regimes42.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample749.0ms (23.6%)

Profiling