Details

analyze551.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

sample18.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	36×	body	80	invalid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

prune3.0ms

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

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 x y) (*.f64 z t))

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

(+.f64 (*.f64 x y) (*.f64 z t))

simplify83.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4869	141
1	4869	141

prune16.0ms

Filtered

11 candidates to 14 candidates (-27.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 z t) (*.f64 z t))
0.2b	(.f64 (.f64 x y) (*.f64 x y))
2.5b	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t)))
27.6b	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (-.f64 (.f64 x y) (.f64 z t)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

82×	`pow1_binary64`
34×	`pow-prod-down_binary64`
30×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`cbrt-unprod_binary64` `prod-exp_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`times-frac_binary64`
8×	`pow-prod-up_binary64` `pow-sqr_binary64`
6×	`add-log-exp_binary64`
5×	`difference-of-squares_binary64`
4×	`pow-plus_binary64` `associate-/l*_binary64`
3×	`associate-/r*_binary64` `flip3--_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `swap-sqr_binary64` `associate-r_binary64` `associate-/r/_binary64` `associate-l_binary64` `pow2_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 116

Calls

4 calls:

7.0ms	(.f64 (.f64 z t) (*.f64 z t))
9.0ms	(.f64 (.f64 x y) (*.f64 x y))
8.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t)))
13.0ms	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (-.f64 (.f64 x y) (.f64 z t)))

series92.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(.f64 (.f64 z t) (*.f64 z t))
8.0ms	(.f64 (.f64 x y) (*.f64 x y))
36.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t)))
36.0ms	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (-.f64 (.f64 x y) (.f64 z t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4989	1318
1	4989	1318

prune83.0ms

Filtered

69 candidates to 128 candidates (-85.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	126	2	128
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	127	3	130

Merged error: 0.0b

Counts

130 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 z t) (*.f64 z t))
2.5b	(-.f64 (.f64 (.f64 x (.f64 x y)) y) (.f64 (.f64 z t) (.f64 z t)))
4.3b	(.f64 (.f64 x (*.f64 x y)) y)
27.6b	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x y)) y) (.f64 (.f64 z t) (.f64 z t))) (-.f64 (.f64 x y) (.f64 z t)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1_binary64`
27×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
23×	`pow-prod-down_binary64`
14×	`cbrt-unprod_binary64` `prod-exp_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
6×	`add-log-exp_binary64`
4×	`associate-r_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `associate-/l_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `associate-l_binary64` `pow-plus_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `swap-sqr_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `pow2_binary64`

Counts

4 → 98

Calls

4 calls:

7.0ms	(.f64 (.f64 z t) (*.f64 z t))
8.0ms	(-.f64 (.f64 (.f64 x (.f64 x y)) y) (.f64 (.f64 z t) (.f64 z t)))
7.0ms	(.f64 (.f64 x (*.f64 x y)) y)
15.0ms	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x y)) y) (.f64 (.f64 z t) (.f64 z t))) (-.f64 (.f64 x y) (.f64 z t)))

series92.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(.f64 (.f64 z t) (*.f64 z t))
39.0ms	(-.f64 (.f64 (.f64 x (.f64 x y)) y) (.f64 (.f64 z t) (.f64 z t)))
8.0ms	(.f64 (.f64 x (*.f64 x y)) y)
36.0ms	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x y)) y) (.f64 (.f64 z t) (.f64 z t))) (-.f64 (.f64 x y) (.f64 z t)))

simplify31.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5042	1441

prune65.0ms

Filtered

63 candidates to 110 candidates (-74.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	110	3	113

Merged error: 0.0b

Counts

113 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (*.f64 x y) 2)
2.5b	(-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2))
18.1b	(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2)) 3))
27.6b	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2)) 3)) (-.f64 (.f64 x y) (.f64 z t)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

160×	`cbrt-prod_binary64`
126×	`add-sqr-sqrt_binary64`
105×	`times-frac_binary64`
99×	`difference-of-squares_binary64`
82×	`*-un-lft-identity_binary64`
72×	`sqr-pow_binary64`
67×	`unpow2_binary64`
66×	`unpow-prod-down_binary64`
65×	`cube-prod_binary64`
60×	`add-cube-cbrt_binary64`
35×	`associate-/l*_binary64`
11×	`distribute-lft-out--_binary64`
9×	`add-exp-log_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64`
5×	`add-cbrt-cube_binary64` `unpow3_binary64` `cube-mult_binary64`
4×	`cbrt-div_binary64` `flip3--_binary64` `cube-div_binary64` `flip--_binary64`
3×	`pow-unpow_binary64` `associate-/r*_binary64`
2×	`associate-/l/_binary64` `pow-pow_binary64` `associate-/r/_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `sub-neg_binary64` `rem-cbrt-cube_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `pow1/3_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 241

Calls

4 calls:

5.0ms	(pow.f64 (*.f64 x y) 2)
8.0ms	(-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2))
12.0ms	(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2)) 3))
19.0ms	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2)) 3)) (-.f64 (.f64 x y) (.f64 z t)))

series119.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(pow.f64 (*.f64 x y) 2)
37.0ms	(-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2))
40.0ms	(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2)) 3))
36.0ms	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 z t) 2)) 3)) (-.f64 (.f64 x y) (.f64 z t)))

simplify62.0ms

Algorithm

egg-herbie

Counts

253 → 253

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5362	5590

prune137.0ms

Filtered

114 candidates to 253 candidates (-121.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	253	0	253
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	253	3	256

Merged error: 0.0b

Counts

256 → 3

regimes353.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms

sample484.0ms

Algorithm

intervals

Results

214.0ms	8000×	body	80	valid
33.0ms	1336×	body	80	invalid

Details

analyze551.0ms

sample18.0ms

simplify9.0ms

prune3.0ms

localize6.0ms

rewrite5.0ms

series12.0ms

simplify83.0ms

prune16.0ms

localize10.0ms

rewrite40.0ms

series92.0ms

simplify49.0ms

prune83.0ms

localize11.0ms

rewrite40.0ms

series92.0ms

simplify31.0ms

prune65.0ms

localize14.0ms

rewrite57.0ms

series119.0ms

simplify62.0ms

prune137.0ms

regimes353.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample484.0ms

Profiling