Details

analyze17.0ms

Algorithm

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

sample12.0ms

Algorithm

intervals

Results

5.0ms	242×	body	128	valid
0.0ms	5×	body	1024	valid
0.0ms	5×	body	512	valid
0.0ms	2×	body	2048	valid
0.0ms	2×	body	256	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	98	7
1	98	7

prune3.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.1b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (*.f64 3/8 y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`*-un-lft-identity_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `flip--_binary64`

Counts

1 → 11

Calls

1 calls:

3.0ms

(-.f64 x (*.f64 3/8 y))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(-.f64 x (*.f64 3/8 y))

simplify83.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4857	161
1	4857	161

prune10.0ms

Filtered

10 candidates to 14 candidates (-40.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 3/8 y))
0.2b	(.f64 y (.f64 y 9/64))
2.1b	(-.f64 (.f64 x x) (.f64 y (*.f64 y 9/64)))
29.3b	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 9/64))) (+.f64 x (.f64 3/8 y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1_binary64` `times-frac_binary64`
8×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

3.0ms	(+.f64 x (*.f64 3/8 y))
5.0ms	(.f64 y (.f64 y 9/64))
4.0ms	(-.f64 (.f64 x x) (.f64 y (*.f64 y 9/64)))
8.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 9/64))) (+.f64 x (.f64 3/8 y)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+.f64 x (*.f64 3/8 y))
35.0ms	(.f64 y (.f64 y 9/64))
64.0ms	(-.f64 (.f64 x x) (.f64 y (*.f64 y 9/64)))
94.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y (.f64 y 9/64))) (+.f64 x (.f64 3/8 y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4938	1453
1	4938	1453

prune63.0ms

Filtered

61 candidates to 84 candidates (-37.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Merged error: 0.0b

Counts

87 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (*.f64 3/8 y))
0.1b	(pow.f64 (-.f64 x (*.f64 3/8 y)) 3)
38.6b	(cbrt.f64 (pow.f64 (-.f64 x (*.f64 3/8 y)) 3))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`unpow-prod-down_binary64` `cube-prod_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cube-div_binary64`
3×	`pow-unpow_binary64` `flip3--_binary64` `flip--_binary64`
2×	`cbrt-div_binary64` `sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `rem-cbrt-cube_binary64` `diff-log_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`

Counts

3 → 59

Calls

3 calls:

3.0ms	(-.f64 x (*.f64 3/8 y))
7.0ms	(pow.f64 (-.f64 x (*.f64 3/8 y)) 3)
4.0ms	(cbrt.f64 (pow.f64 (-.f64 x (*.f64 3/8 y)) 3))

series131.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(-.f64 x (*.f64 3/8 y))
58.0ms	(pow.f64 (-.f64 x (*.f64 3/8 y)) 3)
36.0ms	(cbrt.f64 (pow.f64 (-.f64 x (*.f64 3/8 y)) 3))

simplify56.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4901	930
1	4901	930

prune32.0ms

Filtered

37 candidates to 68 candidates (-83.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	68	3	71

Merged error: 0.0b

Counts

71 → 3

regimes18.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	7
1	33	7

end0.0ms

sample340.0ms

Algorithm

intervals

Results

160.0ms	7381×	body	128	valid
16.0ms	217×	body	1024	valid
16.0ms	172×	body	2048	valid
8.0ms	150×	body	512	valid
3.0ms	80×	body	256	valid

Details

analyze17.0ms

sample12.0ms

simplify12.0ms

prune3.0ms

localize3.0ms

rewrite4.0ms

series39.0ms

simplify83.0ms

prune10.0ms

localize9.0ms

rewrite26.0ms

series230.0ms

simplify55.0ms

prune63.0ms

localize7.0ms

rewrite18.0ms

series131.0ms

simplify56.0ms

prune32.0ms

regimes18.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample340.0ms

Profiling