Details

analyze264.0ms

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

9.0ms	256×	body	80	valid
6.0ms	259×	pre	80	true
0.0ms	3×	body	80	invalid

simplify599.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (150.0ms)

Iter	Nodes	Cost
0	4930	13
1	4930	13

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: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
0.0b	(*.f64 m (-.f64 1 m))
0.0b	(/.f64 (*.f64 m (-.f64 1 m)) v)
0.1b	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-r_binary64`
10×	`add-cube-cbrt_binary64` `associate-l_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`pow1_binary64` `difference-of-squares_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
5×	`sub-neg_binary64`
4×	`distribute-lft-out--_binary64` `frac-times_binary64`
3×	`associate-/r*_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `associate-/l/_binary64` `cbrt-undiv_binary64` `difference-of-sqr-1_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 98

Calls

4 calls:

10.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
8.0ms	(*.f64 m (-.f64 1 m))
8.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
20.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

series35.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
5.0ms	(*.f64 m (-.f64 1 m))
6.0ms	(/.f64 (*.f64 m (-.f64 1 m)) v)
18.0ms	(.f64 (-.f64 (/.f64 (.f64 m (-.f64 1 m)) v) 1) (-.f64 1 m))

simplify50.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4988	1291
1	4988	1291

prune146.0ms

Filtered

77 candidates to 110 candidates (-42.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	102	8	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	8	111

Merged error: 0b

Counts

111 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 m (pow.f64 m 3))
0.0b	(/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m)) v)
0.1b	(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m)) v) 1) (-.f64 1 m))
0.1b	(/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

315×	`times-frac_binary64`
300×	`add-sqr-sqrt_binary64`
286×	`*-un-lft-identity_binary64`
120×	`add-cube-cbrt_binary64`
96×	`difference-of-squares_binary64`
51×	`associate-/l*_binary64`
46×	`distribute-lft-out_binary64`
24×	`distribute-lft-out--_binary64`
22×	`distribute-rgt-out--_binary64` `sqr-pow_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `unpow3_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
10×	`associate-/r/_binary64`
8×	`flip3--_binary64` `flip--_binary64`
7×	`associate-/r*_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `div-inv_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64` `frac-times_binary64`
3×	`associate-/l/_binary64` `sub-neg_binary64` `difference-of-sqr-1_binary64` `div-sub_binary64`
2×	`associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 311

Calls

4 calls:

10.0ms	(-.f64 m (pow.f64 m 3))
20.0ms	(/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m)) v)
63.0ms	(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m)) v) 1) (-.f64 1 m))
12.0ms	(/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m))

series39.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(-.f64 m (pow.f64 m 3))
11.0ms	(/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m)) v)
11.0ms	(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m)) v) 1) (-.f64 1 m))
10.0ms	(/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 1 m))

simplify98.0ms

Algorithm

egg-herbie

Counts

323 → 323

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5318	6015

prune369.0ms

Filtered

199 candidates to 323 candidates (-62.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	322	1	323
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	323	8	331

Merged error: 0b

Counts

331 → 8

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)
0.0b	(/.f64 v (-.f64 1 m))
0.1b	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
0.1b	(/.f64 m (/.f64 v (-.f64 1 m)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac_binary64`
177×	`add-sqr-sqrt_binary64`
143×	`*-un-lft-identity_binary64`
82×	`add-cube-cbrt_binary64`
46×	`difference-of-squares_binary64`
30×	`associate-/r*_binary64`
19×	`distribute-lft-out--_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
12×	`flip3--_binary64` `flip--_binary64`
11×	`associate-/r/_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `difference-of-sqr-1_binary64` `associate-/l*_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64` `frac-times_binary64`
3×	`sub-neg_binary64`
2×	`associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 217

Calls

4 calls:

32.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)
6.0ms	(/.f64 v (-.f64 1 m))
42.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
11.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))

series24.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1)
6.0ms	(/.f64 v (-.f64 1 m))
7.0ms	(*.f64 (-.f64 (/.f64 m (/.f64 v (-.f64 1 m))) 1) (-.f64 1 m))
6.0ms	(/.f64 m (/.f64 v (-.f64 1 m)))

simplify47.0ms

Algorithm

egg-herbie

Counts

229 → 229

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5227	3186

prune225.0ms

Filtered

160 candidates to 229 candidates (-43.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	229	0	229
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	229	8	237

Merged error: 0b

Counts

237 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 m 1)) v)
0.1b	(/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 m 1))
0.1b	(.f64 (.f64 (-.f64 (/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 m 1)) v) 1) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))
0.1b	(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 m 1)) v) 1) (+.f64 1 (sqrt.f64 m)))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

315×	`times-frac_binary64`
299×	`add-sqr-sqrt_binary64`
289×	`*-un-lft-identity_binary64`
121×	`add-cube-cbrt_binary64`
94×	`difference-of-squares_binary64`
51×	`associate-/l*_binary64`
48×	`distribute-lft-out_binary64`
32×	`frac-times_binary64`
24×	`distribute-lft-out--_binary64`
22×	`flip3--_binary64` `flip--_binary64`
21×	`distribute-rgt-out--_binary64` `sqr-pow_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `unpow3_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
17×	`flip3-+_binary64` `flip-+_binary64`
16×	`associate-*l/_binary64`
14×	`associate-r_binary64` `associate-l_binary64`
11×	`pow1_binary64`
10×	`associate-*r/_binary64` `associate-/r/_binary64`
7×	`associate-/r*_binary64`
6×	`div-inv_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `sqrt-prod_binary64`
3×	`associate-/l/_binary64` `difference-of-sqr-1_binary64` `div-sub_binary64`
2×	`sub-neg_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

4 → 345

Calls

4 calls:

20.0ms	(/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 m 1)) v)
13.0ms	(/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 m 1))
68.0ms	(.f64 (.f64 (-.f64 (/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 m 1)) v) 1) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))
60.0ms	(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 m 1)) v) 1) (+.f64 1 (sqrt.f64 m)))

series59.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 m 1)) v)
14.0ms	(/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 m 1))
16.0ms	(.f64 (.f64 (-.f64 (/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 m 1)) v) 1) (+.f64 1 (sqrt.f64 m))) (-.f64 1 (sqrt.f64 m)))
19.0ms	(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 m (pow.f64 m 3)) (+.f64 m 1)) v) 1) (+.f64 1 (sqrt.f64 m)))

simplify77.0ms

Algorithm

egg-herbie

Counts

357 → 357

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5177	7763

prune510.0ms

Filtered

236 candidates to 357 candidates (-51.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	357	0	357
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	357	8	365

Merged error: 0b

Counts

365 → 8

regimes108.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	17
1	48	17

end0.0ms

sample578.0ms

Algorithm

intervals

Results

272.0ms	8000×	body	80	valid
160.0ms	8067×	pre	80	true
2.0ms	67×	body	80	invalid

Details

analyze264.0ms

sample24.0ms

simplify599.0ms

prune7.0ms

localize10.0ms

rewrite64.0ms

series35.0ms

simplify50.0ms

prune146.0ms

localize11.0ms

rewrite126.0ms

series39.0ms

simplify98.0ms

prune369.0ms

localize7.0ms

rewrite106.0ms

series24.0ms

simplify47.0ms

prune225.0ms

localize17.0ms

rewrite186.0ms

series59.0ms

simplify77.0ms

prune510.0ms

regimes108.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample578.0ms

Profiling