Details

analyze5.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
75%	25%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample19.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify180.0ms (7.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

prune6.0ms (0.3%)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 6 to 6 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x 1/3)
0.0b	(+.f64 x 1/3)

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_6437` `*-un-lft-identity_binary64_6398`
1×	`flip3-+_binary64_6401` `add-cube-cbrt_binary64_6433` `sum-log_binary64_6489` `+-commutative_binary64_6328` `flip-+_binary64_6372` `add-cbrt-cube_binary64_6434` `distribute-lft-out_binary64_6349` `add-sqr-sqrt_binary64_6420` `add-exp-log_binary64_6436` `pow1_binary64_6459`

Counts

1 → 12

Calls

2 calls:

8.0ms	(+.f64 x 1/3)
0.0ms	(+.f64 x 1/3)

series33.0ms (1.4%)

Counts

1 → 6

Calls

1 calls:

32.0ms

(+.f64 x 1/3)

Compiler

Compiled 21 to 22 computations (-4.8% saved)

simplify186.0ms (8.1%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (165.0ms)

Iter	Nodes	Cost
0	4778	104
1	4778	104

prune30.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	2	19

Error

Counts

19 → 2

Compiler

Compiled 105 to 80 computations (23.8% saved)

localize12.0ms (0.5%)

Local error

Found 6 expressions with local error:

14.8b	(/.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x 1/3))
0.0b	(-.f64 x 1/3)
0.0b	(-.f64 (*.f64 x x) 1/9)
0.0b	(-.f64 x 1/3)
0.0b	(-.f64 (*.f64 x x) 1/9)
14.8b	(/.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x 1/3))

rewrite43.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64_6420`
28×	`*-un-lft-identity_binary64_6398`
20×	`times-frac_binary64_6404`
16×	`add-cube-cbrt_binary64_6433`
13×	`difference-of-squares_binary64_6367`
7×	`add-log-exp_binary64_6437`
6×	`cancel-sign-sub-inv_binary64_6364` `distribute-lft-out--_binary64_6350`
5×	`add-cbrt-cube_binary64_6434` `associate-/r*_binary64_6342` `add-exp-log_binary64_6436`
4×	`flip--_binary64_6373` `associate-/l*_binary64_6343` `flip3--_binary64_6402`
3×	`pow1_binary64_6459`
2×	`associate-/r/_binary64_6344` `associate-/l/_binary64_6345` `sub-neg_binary64_6391` `diff-log_binary64_6490`
1×	`clear-num_binary64_6397` `div-sub_binary64_6403` `frac-2neg_binary64_6409` `cbrt-undiv_binary64_6432` `div-inv_binary64_6395` `div-exp_binary64_6449`

Counts

3 → 77

Calls

6 calls:

18.0ms	(/.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x 1/3))
8.0ms	(-.f64 (*.f64 x x) 1/9)
6.0ms	(-.f64 x 1/3)
0.0ms	(-.f64 (*.f64 x x) 1/9)
0.0ms	(/.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x 1/3))

series201.0ms (8.8%)

Counts

3 → 18

Calls

3 calls:

91.0ms	(/.f64 (-.f64 (*.f64 x x) 1/9) (-.f64 x 1/3))
73.0ms	(-.f64 (*.f64 x x) 1/9)
36.0ms	(-.f64 x 1/3)

Compiler

Compiled 169 to 145 computations (14.2% saved)

simplify136.0ms (6%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5132	1254

prune134.0ms (5.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	95	2	97

Error

Counts

97 → 2

Compiler

Compiled 1278 to 806 computations (36.9% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	50
1	30	50

regimes34.0ms (1.5%)

Accuracy

Total 0.0b remaining (78.4%)

Threshold costs 0.0b (78.4%)

Compiler

Compiled 37 to 37 computations (0% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	4
1	5	4

end0.0ms (0%)

sample1.2s (54.3%)

Algorithm

1×

intervals

Results

301.0ms

8000×

body

128

valid

Compiler

Compiled 111 to 112 computations (-0.9% saved)

Pareto

0.3039973156206517

Details

analyze5.0ms (0.2%)

sample19.0ms (0.8%)

simplify180.0ms (7.9%)

prune6.0ms (0.3%)

localize5.0ms (0.2%)

rewrite10.0ms (0.4%)

series33.0ms (1.4%)

simplify186.0ms (8.1%)

prune30.0ms (1.3%)

localize12.0ms (0.5%)

rewrite43.0ms (1.9%)

series201.0ms (8.8%)

simplify136.0ms (6%)

prune134.0ms (5.9%)

simplify5.0ms (0.2%)

regimes34.0ms (1.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample1.2s (54.3%)

Profiling