Details

analyze3.0ms

Algorithm

Search

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

sample20.0ms

Algorithm

intervals

Results

7.0ms	68×	body	640	valid
4.0ms	131×	body	80	valid
3.0ms	42×	body	320	valid
1.0ms	15×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	75	11
1	75	11

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 14.4b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 1 (+.f64 x 1))
1.7b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity_binary64`
72×	`add-sqr-sqrt_binary64`
69×	`times-frac_binary64`
32×	`add-cube-cbrt_binary64`
27×	`distribute-lft-out--_binary64`
17×	`difference-of-squares_binary64`
11×	`associate-/r*_binary64` `add-exp-log_binary64`
10×	`distribute-lft-out_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-/r/_binary64` `associate-/l*_binary64` `div-inv_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`difference-of-sqr-1_binary64` `div-exp_binary64`
3×	`flip--_binary64`
2×	`flip3--_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `rec-exp_binary64` `pow-flip_binary64` `flip-+_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `frac-sub_binary64`

Counts

3 → 124

Calls

3 calls:

6.0ms	(/.f64 1 (-.f64 x 1))
6.0ms	(/.f64 1 (+.f64 x 1))
30.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

series13.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(/.f64 1 (-.f64 x 1))
2.0ms	(/.f64 1 (+.f64 x 1))
8.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

simplify57.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4914	1414
1	4914	1414

prune92.0ms

Filtered

72 candidates to 133 candidates (-84.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	132	2	134

Merged error: 0.3b

Counts

134 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(/.f64 -2 (+.f64 -1 (*.f64 x x)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
3×	`associate-/r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64`
2×	`associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

1 → 29

Calls

1 calls:

5.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

simplify64.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4911	371
1	4911	371

prune45.0ms

Filtered

26 candidates to 32 candidates (-23.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	27	5	32
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	28	6	34

Merged error: 0.3b

Counts

34 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.3b	(/.f64 -2 (+.f64 -1 (*.f64 x x)))
17.6b	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
17.6b	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
17.6b	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod_binary64`
36×	`times-frac_binary64`
33×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
8×	`associate-/r/_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `div-inv_binary64` `flip-+_binary64`
3×	`cbrt-div_binary64` `associate-/r_binary64` `pow1/3_binary64` `associate-/l_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`

Counts

4 → 101

Calls

4 calls:

6.0ms	(/.f64 -2 (+.f64 -1 (*.f64 x x)))
5.0ms	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
4.0ms	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
5.0ms	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))

series75.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/.f64 -2 (+.f64 -1 (*.f64 x x)))
25.0ms	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
22.0ms	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
23.0ms	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))

simplify58.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5046	1685

prune179.0ms

Filtered

98 candidates to 113 candidates (-15.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	111	2	113
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	111	8	119

Merged error: 0.2b

Counts

119 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 -2)
17.6b	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
17.6b	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
17.6b	(cbrt.f64 (.f64 (.f64 (cbrt.f64 -2) (cbrt.f64 -2)) (/.f64 (cbrt.f64 -2) (+.f64 -1 (*.f64 x x)))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

34×	`cbrt-prod_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`times-frac_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64`
3×	`cbrt-div_binary64`
2×	`flip3-+_binary64` `div-inv_binary64` `flip-+_binary64`
1×	`associate-*r/_binary64`

Counts

4 → 69

Calls

4 calls:

1.0ms	(cbrt.f64 -2)
4.0ms	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
4.0ms	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
12.0ms	(cbrt.f64 (.f64 (.f64 (cbrt.f64 -2) (cbrt.f64 -2)) (/.f64 (cbrt.f64 -2) (+.f64 -1 (*.f64 x x)))))

series69.0ms

Counts

4 → 10

Calls

4 calls:

0.0ms	(cbrt.f64 -2)
22.0ms	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
23.0ms	(cbrt.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))))
23.0ms	(cbrt.f64 (.f64 (.f64 (cbrt.f64 -2) (cbrt.f64 -2)) (/.f64 (cbrt.f64 -2) (+.f64 -1 (*.f64 x x)))))

simplify52.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5154	1074

prune130.0ms

Filtered

69 candidates to 79 candidates (-14.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	79	8	87

Merged error: 0.2b

Counts

87 → 8

regimes41.0ms

Accuracy

0% (0.1b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms

sample549.0ms

Algorithm

intervals

Results

195.0ms	1850×	body	640	valid
120.0ms	4252×	body	80	valid
104.0ms	1283×	body	320	valid
32.0ms	615×	body	160	valid

Details

analyze3.0ms

sample20.0ms

simplify7.0ms

prune8.0ms

localize6.0ms

rewrite48.0ms

series13.0ms

simplify57.0ms

prune92.0ms

localize6.0ms

rewrite6.0ms

series5.0ms

simplify64.0ms

prune45.0ms

localize8.0ms

rewrite23.0ms

series75.0ms

simplify58.0ms

prune179.0ms

localize15.0ms

rewrite25.0ms

series69.0ms

simplify52.0ms

prune130.0ms

regimes41.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample549.0ms

Profiling