Details

analyze16.0ms (1.7%)

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
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 (1.1%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify101.0ms (10.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	114	7
1	114	7

prune2.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize3.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (/.f64 y 200))

rewrite10.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`cancel-sign-sub-inv_binary64_8910` `add-sqr-sqrt_binary64_8966`
10×	`times-frac_binary64_8950` `*-un-lft-identity_binary64_8944`
8×	`add-cube-cbrt_binary64_8979`
3×	`add-log-exp_binary64_8983`
2×	`difference-of-squares_binary64_8913`
1×	`flip3--_binary64_8948` `flip--_binary64_8919` `pow1_binary64_9005` `distribute-lft-out--_binary64_8896` `diff-log_binary64_9036` `add-cbrt-cube_binary64_8980` `sub-neg_binary64_8937` `div-inv_binary64_8941` `add-exp-log_binary64_8982`

Counts

1 → 27

Calls

1 calls:

8.0ms

(-.f64 x (/.f64 y 200))

series18.0ms (2%)

Counts

1 → 3

Calls

1 calls:

18.0ms

(-.f64 x (/.f64 y 200))

simplify48.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4916	268
1	4916	268

prune17.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	2	31

Error

Counts

31 → 2

Compiler

Compiled 253 to 167 computations (34% saved)

localize12.0ms (1.2%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 y (/.f64 y 40000))
3.6b	(-.f64 (.f64 x x) (.f64 y (/.f64 y 40000)))
29.2b	(/.f64 (-.f64 (.f64 x x) (.f64 y (/.f64 y 40000))) (+.f64 x (/.f64 y 200)))

rewrite30.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64_8944`
25×	`add-sqr-sqrt_binary64_8966`
22×	`times-frac_binary64_8950`
20×	`add-cube-cbrt_binary64_8979`
13×	`associate-r_binary64_8884`
10×	`add-cbrt-cube_binary64_8980` `add-exp-log_binary64_8982`
5×	`pow1_binary64_9005` `add-log-exp_binary64_8983`
4×	`associate-/r*_binary64_8888` `distribute-lft-out_binary64_8895`
3×	`associate-l_binary64_8885` `associate-/l*_binary64_8889`
2×	`associate-/r/_binary64_8890` `flip3--_binary64_8948` `flip--_binary64_8919` `div-exp_binary64_8995` `prod-exp_binary64_8993` `associate-/l/_binary64_8891` `unswap-sqr_binary64_8912` `div-inv_binary64_8941` `cbrt-undiv_binary64_8978` `cbrt-unprod_binary64_8977`
1×	`flip3-+_binary64_8947` `associate-r/_binary64_8886` `div-sub_binary64_8949` `clear-num_binary64_8943` `frac-2neg_binary64_8955` `-commutative_binary64_8875` `diff-log_binary64_9036` `sub-neg_binary64_8937` `cancel-sign-sub-inv_binary64_8910` `pow-prod-down_binary64_9015` `flip-+_binary64_8918`

Counts

3 → 80

Calls

3 calls:

12.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (/.f64 y 40000))) (+.f64 x (/.f64 y 200)))
7.0ms	(*.f64 y (/.f64 y 40000))
4.0ms	(-.f64 (.f64 x x) (.f64 y (/.f64 y 40000)))

series96.0ms (10.3%)

Counts

3 → 9

Calls

3 calls:

50.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (/.f64 y 40000))) (+.f64 x (/.f64 y 200)))
27.0ms	(-.f64 (.f64 x x) (.f64 y (/.f64 y 40000)))
18.0ms	(*.f64 y (/.f64 y 40000))

simplify95.0ms (10.2%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4872	1731
1	4872	1731

prune82.0ms (8.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	89	2	91

Error

Counts

91 → 2

Compiler

Compiled 1936 to 1135 computations (41.4% saved)

regimes33.0ms (3.6%)

Accuracy

Total 0.0b remaining (29.1%)

Threshold costs 0.0b (29.1%)

Compiler

Compiled 100 to 90 computations (10% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	23	7

end0.0ms (0%)

sample354.0ms (38.1%)

Algorithm

1×

intervals

Results

159.0ms

8000×

body

128

valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

Details

analyze16.0ms (1.7%)

sample11.0ms (1.1%)

simplify101.0ms (10.9%)

prune2.0ms (0.2%)

localize3.0ms (0.4%)

rewrite10.0ms (1%)

series18.0ms (2%)

simplify48.0ms (5.1%)

prune17.0ms (1.8%)

localize12.0ms (1.2%)

rewrite30.0ms (3.2%)

series96.0ms (10.3%)

simplify95.0ms (10.2%)

prune82.0ms (8.8%)

regimes33.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample354.0ms (38.1%)

Profiling