Details

analyze55.0ms

Algorithm

Search

True	Other	False	Iter
0%	12.5%	87.5%	0
0%	12.5%	87.5%	1
0%	12.5%	87.5%	2
3.1%	9.3%	87.5%	3
3.1%	6.2%	90.7%	4
4.7%	4.7%	90.7%	5
4.7%	3.5%	91.8%	6
5.6%	2.5%	91.8%	7
5.9%	1.8%	92.3%	8
6.4%	1.3%	92.3%	9
6.6%	0.9%	92.5%	10
6.8%	0.6%	92.5%	11
6.9%	0.5%	92.6%	12
7%	0.3%	92.6%	13
7.1%	0.2%	92.7%	14

sample24.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
6.0ms	257×	pre	80	true
0.0ms	1×	body	80	invalid

simplify599.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	4718	11
1	4718	11

prune7.0ms

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: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 m (-.f64 1.0 m))
0.1b	(/.f64 (*.f64 m (-.f64 1.0 m)) v)
0.2b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1.0 m)) v) 1.0) m)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-cube-cbrt_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
7×	`pow1_binary64`
4×	`associate-*r/_binary64`
3×	`associate-/r*_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `times-frac_binary64` `flip--_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `sub-neg_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

3 → 69

Calls

3 calls:

7.0ms	(*.f64 m (-.f64 1.0 m))
7.0ms	(/.f64 (*.f64 m (-.f64 1.0 m)) v)
14.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1.0 m)) v) 1.0) m)

series52.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(*.f64 m (-.f64 1.0 m))
7.0ms	(/.f64 (*.f64 m (-.f64 1.0 m)) v)
38.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1.0 m)) v) 1.0) m)

simplify47.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5861	708

prune108.0ms

Filtered

53 candidates to 78 candidates (-47.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	67	11	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	11	79

Merged error: 0.0b

Counts

79 → 11

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 v (-.f64 1.0 m))
0.1b	(/.f64 m (/.f64 v (-.f64 1.0 m)))
0.2b	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1.0 m))) 1.0) m)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac_binary64`
116×	`add-sqr-sqrt_binary64`
107×	`*-un-lft-identity_binary64`
73×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
19×	`difference-of-squares_binary64`
17×	`distribute-lft-out--_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`associate-/r/_binary64`
7×	`associate-l_binary64`
6×	`flip3--_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`
5×	`pow1_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`add-log-exp_binary64` `associate-r_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 163

Calls

3 calls:

6.0ms	(/.f64 v (-.f64 1.0 m))
9.0ms	(/.f64 m (/.f64 v (-.f64 1.0 m)))
31.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1.0 m))) 1.0) m)

series23.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/.f64 v (-.f64 1.0 m))
7.0ms	(/.f64 m (/.f64 v (-.f64 1.0 m)))
9.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1.0 m))) 1.0) m)

simplify57.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5165	2237

prune175.0ms

Filtered

128 candidates to 172 candidates (-34.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	170	2	172
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	175	8	183

Merged error: 0.0b

Counts

183 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 m (/.f64 m v)) m)
0.0b	(-.f64 (.f64 1.0 (-.f64 (.f64 m (/.f64 m v)) m)) (/.f64 (pow.f64 m 3) v))
0.3b	(*.f64 m (/.f64 m v))
5.5b	(/.f64 (pow.f64 m 3) v)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

46×	`times-frac_binary64`
42×	`add-sqr-sqrt_binary64`
37×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
14×	`add-exp-log_binary64`
13×	`associate-r_binary64`
12×	`unpow-prod-down_binary64` `cube-prod_binary64` `associate-/l*_binary64`
11×	`add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
6×	`pow1_binary64`
4×	`sub-neg_binary64` `sqr-pow_binary64` `div-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `associate-r/_binary64` `associate-l_binary64` `flip--_binary64`
2×	`diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `frac-sub_binary64` `associate--l+_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 123

Calls

4 calls:

6.0ms	(-.f64 (*.f64 m (/.f64 m v)) m)
16.0ms	(-.f64 (.f64 1.0 (-.f64 (.f64 m (/.f64 m v)) m)) (/.f64 (pow.f64 m 3) v))
7.0ms	(*.f64 m (/.f64 m v))
6.0ms	(/.f64 (pow.f64 m 3) v)

series25.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(-.f64 (*.f64 m (/.f64 m v)) m)
11.0ms	(-.f64 (.f64 1.0 (-.f64 (.f64 m (/.f64 m v)) m)) (/.f64 (pow.f64 m 3) v))
4.0ms	(*.f64 m (/.f64 m v))
5.0ms	(/.f64 (pow.f64 m 3) v)

simplify34.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5146	1305

prune121.0ms

Filtered

85 candidates to 135 candidates (-58.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	131	4	135
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	136	7	143

Merged error: 0b

Counts

143 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 m (/.f64 m v)) m)
0.0b	(-.f64 (.f64 1.0 (-.f64 (.f64 m (/.f64 m v)) m)) (/.f64 (*.f64 m m) (/.f64 v m)))
0.3b	(*.f64 m (/.f64 m v))
2.0b	(/.f64 (*.f64 m m) (/.f64 v m))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

41×	`times-frac_binary64`
31×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
21×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-/r_binary64` `associate-r*_binary64`
8×	`add-log-exp_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`pow1_binary64`
4×	`sub-neg_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `div-inv_binary64`
3×	`flip3--_binary64` `associate-r/_binary64` `associate-l*_binary64` `flip--_binary64`
2×	`diff-log_binary64` `unswap-sqr_binary64` `frac-sub_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `-commutative_binary64`

Counts

4 → 104

Calls

4 calls:

6.0ms	(-.f64 (*.f64 m (/.f64 m v)) m)
15.0ms	(-.f64 (.f64 1.0 (-.f64 (.f64 m (/.f64 m v)) m)) (/.f64 (*.f64 m m) (/.f64 v m)))
7.0ms	(*.f64 m (/.f64 m v))
7.0ms	(/.f64 (*.f64 m m) (/.f64 v m))

series23.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(-.f64 (*.f64 m (/.f64 m v)) m)
9.0ms	(-.f64 (.f64 1.0 (-.f64 (.f64 m (/.f64 m v)) m)) (/.f64 (*.f64 m m) (/.f64 v m)))
4.0ms	(*.f64 m (/.f64 m v))
4.0ms	(/.f64 (*.f64 m m) (/.f64 v m))

simplify74.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4927	1147
1	4927	1147

prune94.0ms

Filtered

87 candidates to 116 candidates (-33.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	116	7	123

Merged error: 0b

Counts

123 → 7

regimes98.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	17
1	38	17

end0.0ms

sample547.0ms

Algorithm

intervals

Results

249.0ms	8000×	body	80	valid
151.0ms	8070×	pre	80	true
2.0ms	70×	body	80	invalid

Details

analyze55.0ms

sample24.0ms

simplify599.0ms

prune7.0ms

localize9.0ms

rewrite31.0ms

series52.0ms

simplify47.0ms

prune108.0ms

localize7.0ms

rewrite53.0ms

series23.0ms

simplify57.0ms

prune175.0ms

localize9.0ms

rewrite38.0ms

series25.0ms

simplify34.0ms

prune121.0ms

localize10.0ms

rewrite38.0ms

series23.0ms

simplify74.0ms

prune94.0ms

regimes98.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample547.0ms

Profiling