Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	25%	75%	0
25%	0%	75%	1

Compiler

Compiled 13 to 7 computations (46.2% saved)

sample14.0ms (0.6%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 22 to 12 computations (45.5% saved)

simplify311.0ms (12.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	4760	10
1	4760	10

prune4.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 30 to 19 computations (36.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (*.f64 x x) (pow.f64 x 3))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_2526`
2×	`cube-mult_binary64_2517`
1×	`add-exp-log_binary64_2525` `*-un-lft-identity_binary64_2487` `unpow3_binary64_2553` `distribute-lft-out_binary64_2438` `add-cube-cbrt_binary64_2522` `flip-+_binary64_2461` `+-commutative_binary64_2417` `flip3-+_binary64_2490` `sum-log_binary64_2578` `add-cbrt-cube_binary64_2523` `pow1_binary64_2548` `add-sqr-sqrt_binary64_2509` `distribute-rgt1-in_binary64_2443` `distribute-rgt-out_binary64_2440`

Counts

1 → 14

Calls

1 calls:

7.0ms

(+.f64 (*.f64 x x) (pow.f64 x 3))

series95.0ms (3.7%)

Counts

1 → 3

Calls

1 calls:

95.0ms

(+.f64 (*.f64 x x) (pow.f64 x 3))

simplify65.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4923	205
1	4923	205

prune33.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	3	18

Merged error: 0b

Counts

18 → 3

Compiler

Compiled 448 to 285 computations (36.4% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (*.f64 x x) (pow.f64 x 3))
0.0b	(.f64 (sqrt.f64 (+.f64 (.f64 x x) (pow.f64 x 3))) (sqrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))))
29.6b	(sqrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))
29.6b	(sqrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))

rewrite53.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`sqrt-prod_binary64_2503`
30×	`add-sqr-sqrt_binary64_2509`
21×	`pow1_binary64_2548`
16×	`cube-mult_binary64_2517` `sqrt-div_binary64_2504`
14×	`*-un-lft-identity_binary64_2487` `add-cube-cbrt_binary64_2522`
13×	`swap-sqr_binary64_2454`
10×	`sqrt-pow1_binary64_2505` `pow1/2_binary64_2567`
9×	`unpow3_binary64_2553` `distribute-lft-out_binary64_2438` `flip-+_binary64_2461` `flip3-+_binary64_2490` `associate-l_binary64_2428` `associate-r_binary64_2427` `distribute-rgt-out_binary64_2440`
7×	`distribute-rgt1-in_binary64_2443`
6×	`add-exp-log_binary64_2525` `add-cbrt-cube_binary64_2523` `add-log-exp_binary64_2526`
5×	`pow-prod-up_binary64_2557`
4×	`unswap-sqr_binary64_2455` `frac-times_binary64_2497` `rem-sqrt-square_binary64_2500`
3×	`pow-sqr_binary64_2460` `pow-prod-down_binary64_2558`
2×	`associate-l/_binary64_2430` `associate-r/_binary64_2429`
1×	`sqr-abs_binary64_2502` `*-commutative_binary64_2418` `prod-exp_binary64_2536` `pow-plus_binary64_2550` `rem-square-sqrt_binary64_2499` `pow2_binary64_2568` `+-commutative_binary64_2417` `sum-log_binary64_2578` `cbrt-unprod_binary64_2520` `sqrt-unprod_binary64_2507`

Counts

4 → 119

Calls

4 calls:

21.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x x) (pow.f64 x 3))) (sqrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))))
7.0ms	(sqrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))
7.0ms	(sqrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))
6.0ms	(+.f64 (*.f64 x x) (pow.f64 x 3))

series256.0ms (9.9%)

Counts

4 → 12

Calls

4 calls:

94.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x x) (pow.f64 x 3))) (sqrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3))))
87.0ms	(+.f64 (*.f64 x x) (pow.f64 x 3))
38.0ms	(sqrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))
36.0ms	(sqrt.f64 (+.f64 (*.f64 x x) (pow.f64 x 3)))

simplify95.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4945	1919
1	4945	1919

prune136.0ms (5.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	131	3	134

Merged error: 0b

Counts

134 → 3

Compiler

Compiled 2496 to 1525 computations (38.9% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (pow.f64 x 4) (pow.f64 x 6))
0.0b	(-.f64 (*.f64 x x) (pow.f64 x 3))
43.1b	(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3)))

rewrite72.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

209×	`add-sqr-sqrt_binary64_2509`
159×	`difference-of-squares_binary64_2456`
117×	`times-frac_binary64_2493`
87×	`unpow-prod-down_binary64_2566`
83×	`sqr-pow_binary64_2459`
54×	`*-un-lft-identity_binary64_2487`
32×	`add-cube-cbrt_binary64_2522`
26×	`distribute-lft-out--_binary64_2439`
19×	`cancel-sign-sub-inv_binary64_2453`
18×	`cube-prod_binary64_2515`
16×	`unpow3_binary64_2553` `cube-mult_binary64_2517`
15×	`distribute-rgt-out--_binary64_2441`
13×	`associate-/l*_binary64_2432`
9×	`associate-/r*_binary64_2431`
7×	`add-log-exp_binary64_2526`
5×	`add-exp-log_binary64_2525` `add-cbrt-cube_binary64_2523`
4×	`flip--_binary64_2462` `flip3--_binary64_2491`
3×	`pow1_binary64_2548`
2×	`sub-neg_binary64_2480` `diff-log_binary64_2579` `associate-/r/_binary64_2433` `associate-/l/_binary64_2434`
1×	`frac-2neg_binary64_2498` `clear-num_binary64_2486` `div-sub_binary64_2492` `div-inv_binary64_2484` `div-exp_binary64_2538` `cbrt-undiv_binary64_2521`

Counts

3 → 213

Calls

3 calls:

22.0ms	(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3)))
9.0ms	(-.f64 (pow.f64 x 4) (pow.f64 x 6))
8.0ms	(-.f64 (*.f64 x x) (pow.f64 x 3))

series487.0ms (18.9%)

Counts

3 → 9

Calls

3 calls:

249.0ms	(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 x 6)) (-.f64 (*.f64 x x) (pow.f64 x 3)))
143.0ms	(-.f64 (pow.f64 x 4) (pow.f64 x 6))
94.0ms	(-.f64 (*.f64 x x) (pow.f64 x 3))

simplify136.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4945	6353
1	4945	6353

prune286.0ms (11.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	222	0	222
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	222	3	225

Merged error: 0b

Counts

225 → 3

Compiler

Compiled 5332 to 3288 computations (38.3% saved)

regimes10.0ms (0.4%)

Compiler: Compiled 41 to 29 computations (29.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

end0.0ms (0%)

sample484.0ms (18.8%)

Algorithm

1×

intervals

Results

159.0ms	8000×	body	128	valid
112.0ms	8000×	pre	128	true

Compiler

Compiled 66 to 45 computations (31.8% saved)

Details

analyze1.0ms (0.1%)

sample14.0ms (0.6%)

simplify311.0ms (12.1%)

prune4.0ms (0.2%)

localize4.0ms (0.2%)

rewrite7.0ms (0.3%)

series95.0ms (3.7%)

simplify65.0ms (2.5%)

prune33.0ms (1.3%)

localize9.0ms (0.4%)

rewrite53.0ms (2.1%)

series256.0ms (9.9%)

simplify95.0ms (3.7%)

prune136.0ms (5.3%)

localize10.0ms (0.4%)

rewrite72.0ms (2.8%)

series487.0ms (18.9%)

simplify136.0ms (5.3%)

prune286.0ms (11.1%)

regimes10.0ms (0.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample484.0ms (18.8%)

Profiling