Details

analyze53.0ms

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	259×	pre	80	true
0.0ms	3×	body	80	invalid

simplify602.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (144.0ms)

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 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

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

series53.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1.0 m)) v) 1.0)
6.0ms	(*.f64 m (-.f64 1.0 m))
7.0ms	(/.f64 (*.f64 m (-.f64 1.0 m)) v)
34.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1.0 m)) v) 1.0) m)

simplify49.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	6140	922

prune119.0ms

Filtered

64 candidates to 94 candidates (-46.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	85	9	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	9	95

Merged error: 0.0b

Counts

95 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac_binary64`
126×	`add-sqr-sqrt_binary64`
110×	`*-un-lft-identity_binary64`
74×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
22×	`difference-of-squares_binary64`
18×	`distribute-lft-out--_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`associate-/r/_binary64`
7×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`associate-r_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 178

Calls

4 calls:

25.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1.0 m))) 1.0)
6.0ms	(/.f64 v (-.f64 1.0 m))
9.0ms	(/.f64 m (/.f64 v (-.f64 1.0 m)))
29.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1.0 m))) 1.0) m)

series29.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1.0 m))) 1.0)
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

190 → 190

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5076	2501

prune194.0ms

Filtered

143 candidates to 190 candidates (-32.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	189	1	190
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	190	9	199

Merged error: 0.0b

Counts

199 → 9

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 (pow.f64 m 3) v))
0.2b	(*.f64 m (/.f64 m v))
9.3b	(/.f64 (pow.f64 m 3) v)

rewrite41.0ms

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)
19.0ms	(-.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)

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

simplify35.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5146	1305

prune117.0ms

Filtered

85 candidates to 135 candidates (-58.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	132	3	135
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	136	8	144

Merged error: 0b

Counts

144 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 1.0 (-.f64 (.f64 m (/.f64 m v)) m)) (/.f64 1 (/.f64 v (pow.f64 m 3))))
0.2b	(*.f64 m (/.f64 m v))
0.4b	(/.f64 1 (/.f64 v (pow.f64 m 3)))
9.1b	(/.f64 v (pow.f64 m 3))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

310×	`times-frac_binary64`
171×	`add-sqr-sqrt_binary64`
166×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
52×	`associate-/r*_binary64`
48×	`unpow-prod-down_binary64` `cube-prod_binary64`
36×	`add-exp-log_binary64`
21×	`div-exp_binary64`
16×	`sqr-pow_binary64` `add-cbrt-cube_binary64` `unpow3_binary64` `cube-mult_binary64`
13×	`associate-r_binary64`
7×	`pow1_binary64` `div-inv_binary64`
6×	`add-log-exp_binary64` `associate-/l*_binary64`
5×	`cbrt-undiv_binary64`
4×	`pow-to-exp_binary64` `1-exp_binary64` `rec-exp_binary64` `pow-exp_binary64`
3×	`sub-neg_binary64` `associate-r/_binary64` `associate-l*_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `flip--_binary64` `frac-sub_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `inv-pow_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

4 → 302

Calls

4 calls:

27.0ms	(-.f64 (.f64 1.0 (-.f64 (.f64 m (/.f64 m v)) m)) (/.f64 1 (/.f64 v (pow.f64 m 3))))
7.0ms	(*.f64 m (/.f64 m v))
12.0ms	(/.f64 1 (/.f64 v (pow.f64 m 3)))
5.0ms	(/.f64 v (pow.f64 m 3))

series31.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(-.f64 (.f64 1.0 (-.f64 (.f64 m (/.f64 m v)) m)) (/.f64 1 (/.f64 v (pow.f64 m 3))))
4.0ms	(*.f64 m (/.f64 m v))
10.0ms	(/.f64 1 (/.f64 v (pow.f64 m 3)))
8.0ms	(/.f64 v (pow.f64 m 3))

simplify71.0ms

Algorithm

egg-herbie

Counts

314 → 314

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5117	3272

prune176.0ms

Filtered

153 candidates to 314 candidates (-105.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	314	0	314
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	314	8	322

Merged error: 0b

Counts

322 → 8

regimes105.0ms

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	48	17
1	48	17

end0.0ms

sample523.0ms

Algorithm

intervals

Results

236.0ms	8000×	body	80	valid
149.0ms	8062×	pre	80	true
2.0ms	62×	body	80	invalid

Details

analyze53.0ms

sample24.0ms

simplify602.0ms

prune7.0ms

localize9.0ms

rewrite40.0ms

series53.0ms

simplify49.0ms

prune119.0ms

localize9.0ms

rewrite78.0ms

series29.0ms

simplify57.0ms

prune194.0ms

localize10.0ms

rewrite41.0ms

series23.0ms

simplify35.0ms

prune117.0ms

localize13.0ms

rewrite70.0ms

series31.0ms

simplify71.0ms

prune176.0ms

regimes105.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample523.0ms

Profiling