Details

analyze64.0ms (2.5%)

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
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
64%	31.2%	4.8%	8
70.2%	21.9%	7.9%	9
75.7%	15.2%	9.1%	10
78.8%	10.5%	10.6%	11
81.6%	7.5%	10.9%	12
83.1%	5.2%	11.7%	13
84.5%	3.7%	11.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample11.0ms (0.4%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify166.0ms (6.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	27	10
1	27	10

prune2.0ms (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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) x)
0.0b	(+.f64 (+.f64 (*.f64 x y) x) y)

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_2526`
4×	`*-un-lft-identity_binary64_2487` `sum-log_binary64_2578`
2×	`add-exp-log_binary64_2525` `add-cube-cbrt_binary64_2522` `flip-+_binary64_2461` `+-commutative_binary64_2417` `flip3-+_binary64_2490` `add-cbrt-cube_binary64_2523` `pow1_binary64_2548` `add-sqr-sqrt_binary64_2509`
1×	`associate-+l+_binary64_2420` `distribute-lft-out_binary64_2438`

Counts

2 → 25

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
5.0ms	(+.f64 (*.f64 x y) x)

series79.0ms (3.1%)

Counts

2 → 6

Calls

2 calls:

51.0ms	(+.f64 (*.f64 x y) x)
28.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)

simplify61.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4971	394
1	4971	394

prune28.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Merged error: 0.0b

Counts

32 → 3

Compiler

Compiled 581 to 193 computations (66.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (*.f64 x y)))
0.5b	(cbrt.f64 (+.f64 x (*.f64 x y)))
0.5b	(cbrt.f64 (+.f64 x (*.f64 x y)))
0.5b	(.f64 (cbrt.f64 (+.f64 x (.f64 x y))) (cbrt.f64 (+.f64 x (*.f64 x y))))

rewrite31.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_2518`
23×	`add-sqr-sqrt_binary64_2509`
18×	`cbrt-div_binary64_2519`
15×	`*-un-lft-identity_binary64_2487` `add-cube-cbrt_binary64_2522`
11×	`pow1_binary64_2548`
9×	`flip-+_binary64_2461` `pow1/3_binary64_2569` `flip3-+_binary64_2490`
6×	`add-exp-log_binary64_2525` `associate-l_binary64_2428` `swap-sqr_binary64_2454` `associate-r_binary64_2427`
4×	`unswap-sqr_binary64_2455` `frac-times_binary64_2497` `add-cbrt-cube_binary64_2523` `add-log-exp_binary64_2526`
2×	`associate-l/_binary64_2430` `pow-prod-up_binary64_2557` `pow-sqr_binary64_2460` `pow-prod-down_binary64_2558` `associate-r/_binary64_2429`
1×	`*-commutative_binary64_2418` `prod-exp_binary64_2536` `pow-plus_binary64_2550` `pow2_binary64_2568` `cbrt-unprod_binary64_2520`

Counts

4 → 87

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 x y))) (cbrt.f64 (+.f64 x (*.f64 x y))))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))

series507.0ms (20.1%)

Counts

4 → 12

Calls

4 calls:

155.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 x y))) (cbrt.f64 (+.f64 x (*.f64 x y))))
125.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
117.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))
109.0ms	(cbrt.f64 (+.f64 x (*.f64 x y)))

simplify90.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4877	1918
1	4877	1918

prune91.0ms (3.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0.0b

Counts

102 → 3

Compiler

Compiled 2861 to 633 computations (77.9% saved)

localize16.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (+.f64 x (*.f64 x y)) 3)
1.6b	(+.f64 (.f64 y y) (.f64 (+.f64 x (.f64 x y)) (-.f64 (+.f64 x (.f64 x y)) y)))
3.3b	(+.f64 (pow.f64 (+.f64 x (*.f64 x y)) 3) (pow.f64 y 3))
38.5b	(/.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x y)) 3) (pow.f64 y 3)) (+.f64 (.f64 y y) (.f64 (+.f64 x (.f64 x y)) (-.f64 (+.f64 x (*.f64 x y)) y))))

rewrite65.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

73×	`*-un-lft-identity_binary64_2487`
27×	`times-frac_binary64_2493`
25×	`distribute-lft-out_binary64_2438`
23×	`unpow-prod-down_binary64_2566` `add-cube-cbrt_binary64_2522` `cube-prod_binary64_2515` `add-sqr-sqrt_binary64_2509`
10×	`associate-+r+_binary64_2419`
9×	`associate-/l*_binary64_2432`
8×	`add-log-exp_binary64_2526`
7×	`add-exp-log_binary64_2525` `add-cbrt-cube_binary64_2523`
6×	`cancel-sign-sub-inv_binary64_2453`
5×	`distribute-rgt-in_binary64_2437` `sum-cubes_binary64_2488` `distribute-lft-in_binary64_2436` `flip-+_binary64_2461` `flip3-+_binary64_2490` `pow1_binary64_2548`
3×	`pow-unpow_binary64_2564` `associate-/r*_binary64_2431`
2×	`sub-neg_binary64_2480` `associate-/r/_binary64_2433` `associate--l+_binary64_2424` `+-commutative_binary64_2417` `sum-log_binary64_2578` `cube-div_binary64_2516` `associate-/l/_binary64_2434`
1×	`pow-exp_binary64_2555` `unpow3_binary64_2553` `rem-cube-cbrt_binary64_2510` `pow-to-exp_binary64_2556` `pow-pow_binary64_2559` `frac-2neg_binary64_2498` `clear-num_binary64_2486` `div-inv_binary64_2484` `div-exp_binary64_2538` `cube-mult_binary64_2517` `sqr-pow_binary64_2459` `cbrt-undiv_binary64_2521`

Counts

4 → 118

Calls

4 calls:

22.0ms	(/.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x y)) 3) (pow.f64 y 3)) (+.f64 (.f64 y y) (.f64 (+.f64 x (.f64 x y)) (-.f64 (+.f64 x (*.f64 x y)) y))))
15.0ms	(+.f64 (pow.f64 (+.f64 x (*.f64 x y)) 3) (pow.f64 y 3))
8.0ms	(+.f64 (.f64 y y) (.f64 (+.f64 x (.f64 x y)) (-.f64 (+.f64 x (.f64 x y)) y)))
4.0ms	(pow.f64 (+.f64 x (*.f64 x y)) 3)

series504.0ms (19.9%)

Counts

4 → 12

Calls

4 calls:

242.0ms	(/.f64 (+.f64 (pow.f64 (+.f64 x (.f64 x y)) 3) (pow.f64 y 3)) (+.f64 (.f64 y y) (.f64 (+.f64 x (.f64 x y)) (-.f64 (+.f64 x (*.f64 x y)) y))))
122.0ms	(+.f64 (pow.f64 (+.f64 x (*.f64 x y)) 3) (pow.f64 y 3))
80.0ms	(+.f64 (.f64 y y) (.f64 (+.f64 x (.f64 x y)) (-.f64 (+.f64 x (.f64 x y)) y)))
59.0ms	(pow.f64 (+.f64 x (*.f64 x y)) 3)

simplify89.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5082	5010

prune156.0ms (6.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	130	3	133

Merged error: 0.0b

Counts

133 → 3

Compiler

Compiled 5315 to 1301 computations (75.5% saved)

regimes32.0ms (1.3%)

Compiler: Compiled 192 to 99 computations (48.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample506.0ms (20%)

Algorithm

1×

intervals

Results

166.0ms	7999×	body	128	valid
1.0ms	74×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 73 to 40 computations (45.2% saved)

Details

analyze64.0ms (2.5%)

sample11.0ms (0.4%)

simplify166.0ms (6.6%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite13.0ms (0.5%)

series79.0ms (3.1%)

simplify61.0ms (2.4%)

prune28.0ms (1.1%)

localize9.0ms (0.3%)

rewrite31.0ms (1.2%)

series507.0ms (20.1%)

simplify90.0ms (3.6%)

prune91.0ms (3.6%)

localize16.0ms (0.6%)

rewrite65.0ms (2.6%)

series504.0ms (19.9%)

simplify89.0ms (3.5%)

prune156.0ms (6.2%)

regimes32.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample506.0ms (20%)

Profiling