Details

analyze113.0ms (8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	10	14
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample11.0ms (0.8%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

prune2.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (/.f64 y 500))

rewrite7.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_10006` `*-un-lft-identity_binary64_9967`
1×	`add-sqr-sqrt_binary64_9989` `add-cbrt-cube_binary64_10003` `flip3-+_binary64_9970` `distribute-lft-out_binary64_9918` `flip-+_binary64_9941` `add-cube-cbrt_binary64_10002` `add-exp-log_binary64_10005` `+-commutative_binary64_9897` `sum-log_binary64_10058` `pow1_binary64_10028`

Counts

1 → 12

Calls

1 calls:

6.0ms

(+.f64 x (/.f64 y 500))

series17.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

17.0ms

(+.f64 x (/.f64 y 500))

simplify65.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5533	164

prune13.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Error

Counts

16 → 3

Compiler

Compiled 169 to 119 computations (29.6% saved)

localize12.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 y 500))
0.1b	(*.f64 y (/.f64 y 250000))
2.6b	(-.f64 (.f64 x x) (.f64 y (/.f64 y 250000)))
28.4b	(/.f64 (-.f64 (.f64 x x) (.f64 y (/.f64 y 250000))) (-.f64 x (/.f64 y 500)))

rewrite41.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`add-sqr-sqrt_binary64_9989`
42×	`times-frac_binary64_9973`
40×	`*-un-lft-identity_binary64_9967`
30×	`add-cube-cbrt_binary64_10002`
14×	`cancel-sign-sub-inv_binary64_9933`
13×	`associate-r_binary64_9907`
11×	`add-cbrt-cube_binary64_10003` `add-exp-log_binary64_10005`
10×	`difference-of-squares_binary64_9936`
8×	`add-log-exp_binary64_10006`
6×	`associate-/r*_binary64_9911` `pow1_binary64_10028`
5×	`distribute-lft-out--_binary64_9919`
4×	`flip--_binary64_9942` `flip3--_binary64_9971`
3×	`associate-l_binary64_9908` `associate-/l*_binary64_9912` `div-inv_binary64_9964`
2×	`div-exp_binary64_10018` `prod-exp_binary64_10016` `cbrt-undiv_binary64_10001` `cbrt-unprod_binary64_10000` `associate-/l/_binary64_9914` `sub-neg_binary64_9960` `diff-log_binary64_10059` `unswap-sqr_binary64_9935` `associate-/r/_binary64_9913`
1×	`pow-prod-down_binary64_10038` `div-sub_binary64_9972` `associate-r/_binary64_9909` `frac-2neg_binary64_9978` `clear-num_binary64_9966` `-commutative_binary64_9898`

Counts

4 → 115

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (/.f64 y 250000))) (-.f64 x (/.f64 y 500)))
8.0ms	(-.f64 x (/.f64 y 500))
7.0ms	(*.f64 y (/.f64 y 250000))
4.0ms	(-.f64 (.f64 x x) (.f64 y (/.f64 y 250000)))

series118.0ms (8.4%)

Counts

4 → 12

Calls

4 calls:

52.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (/.f64 y 250000))) (-.f64 x (/.f64 y 500)))
27.0ms	(-.f64 (.f64 x x) (.f64 y (/.f64 y 250000)))
22.0ms	(-.f64 x (/.f64 y 500))
18.0ms	(*.f64 y (/.f64 y 250000))

simplify72.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4913	2497
1	4913	2497

prune120.0ms (8.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	127	3	130

Error

Counts

130 → 3

Compiler

Compiled 2825 to 1640 computations (41.9% saved)

localize6.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 y 500))
0.0b	(sqrt.f64 (+.f64 x (/.f64 y 500)))
0.0b	(sqrt.f64 (+.f64 x (/.f64 y 500)))
0.3b	(*.f64 (sqrt.f64 (+.f64 x (/.f64 y 500))) (sqrt.f64 (+.f64 x (/.f64 y 500))))

rewrite47.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_9967` `sqrt-prod_binary64_9983`
30×	`add-sqr-sqrt_binary64_9989`
21×	`pow1_binary64_10028`
16×	`sqrt-div_binary64_9984`
14×	`add-cube-cbrt_binary64_10002`
11×	`swap-sqr_binary64_9934`
10×	`pow1/2_binary64_10047` `sqrt-pow1_binary64_9985`
9×	`flip3-+_binary64_9970` `distribute-lft-out_binary64_9918` `flip-+_binary64_9941`
7×	`associate-l_binary64_9908` `associate-r_binary64_9907`
6×	`add-cbrt-cube_binary64_10003` `add-log-exp_binary64_10006` `add-exp-log_binary64_10005`
5×	`pow-prod-up_binary64_10037`
4×	`frac-times_binary64_9977` `unswap-sqr_binary64_9935` `rem-sqrt-square_binary64_9980`
3×	`pow-prod-down_binary64_10038` `pow-sqr_binary64_9940`
2×	`associate-l/_binary64_9910` `associate-r/_binary64_9909`
1×	`sqr-abs_binary64_9982` `prod-exp_binary64_10016` `cbrt-unprod_binary64_10000` `rem-square-sqrt_binary64_9979` `pow2_binary64_10048` `+-commutative_binary64_9897` `sum-log_binary64_10058` `pow-plus_binary64_10030` `sqrt-unprod_binary64_9987` `*-commutative_binary64_9898`

Counts

4 → 107

Calls

4 calls:

18.0ms	(*.f64 (sqrt.f64 (+.f64 x (/.f64 y 500))) (sqrt.f64 (+.f64 x (/.f64 y 500))))
9.0ms	(sqrt.f64 (+.f64 x (/.f64 y 500)))
6.0ms	(sqrt.f64 (+.f64 x (/.f64 y 500)))
6.0ms	(+.f64 x (/.f64 y 500))

series117.0ms (8.3%)

Counts

4 → 12

Calls

4 calls:

35.0ms	(sqrt.f64 (+.f64 x (/.f64 y 500)))
34.0ms	(sqrt.f64 (+.f64 x (/.f64 y 500)))
30.0ms	(*.f64 (sqrt.f64 (+.f64 x (/.f64 y 500))) (sqrt.f64 (+.f64 x (/.f64 y 500))))
16.0ms	(+.f64 x (/.f64 y 500))

simplify79.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4937	1681
1	4937	1681

prune108.0ms (7.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	119	3	122

Error

Counts

122 → 3

Compiler

Compiled 1938 to 1355 computations (30.1% saved)

regimes48.0ms (3.4%)

Accuracy

Total 0.0b remaining (56.4%)

Threshold costs 0.0b (56.4%)

Compiler

Compiled 204 to 186 computations (8.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample398.0ms (28.3%)

Algorithm

1×

intervals

Results

158.0ms

8000×

body

128

valid

Compiler

Compiled 57 to 53 computations (7% saved)

Details

analyze113.0ms (8%)

sample11.0ms (0.8%)

simplify7.0ms (0.5%)

prune2.0ms (0.1%)

localize4.0ms (0.3%)

rewrite7.0ms (0.5%)

series17.0ms (1.2%)

simplify65.0ms (4.6%)

prune13.0ms (0.9%)

localize12.0ms (0.9%)

rewrite41.0ms (2.9%)

series118.0ms (8.4%)

simplify72.0ms (5.1%)

prune120.0ms (8.5%)

localize6.0ms (0.4%)

rewrite47.0ms (3.3%)

series117.0ms (8.3%)

simplify79.0ms (5.6%)

prune108.0ms (7.7%)

regimes48.0ms (3.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample398.0ms (28.3%)

Profiling