Details

analyze652.0ms

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
12.5%	87.3%	0.2%	8
18.7%	81.1%	0.2%	9
22.6%	77.2%	0.2%	10
25%	74.9%	0.2%	11
39.4%	60.4%	0.2%	12
46.5%	53.2%	0.3%	13
48%	51.4%	0.6%	14

sample20.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	16×	body	80	invalid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	1195	9
1	1195	9

prune13.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 5.9b

Counts

2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (-.f64 y t))
0.2b	(/.f64 (/.f64 2 (-.f64 y t)) z)
6.3b	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

249×	`times-frac_binary64`
180×	`add-sqr-sqrt_binary64`
171×	`*-un-lft-identity_binary64`
121×	`add-cube-cbrt_binary64`
67×	`associate-r_binary64`
25×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
24×	`associate-/l*_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-/r/_binary64`
10×	`div-inv_binary64`
8×	`associate-/r*_binary64` `flip3--_binary64` `flip--_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
5×	`pow1_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

3 → 228

Calls

3 calls:

6.0ms	(/.f64 2 (-.f64 y t))
11.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
22.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

series40.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/.f64 2 (-.f64 y t))
13.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
21.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

simplify64.0ms

Algorithm

egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5000	2844

prune168.0ms

Filtered

177 candidates to 237 candidates (-33.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	228	9	237
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	228	11	239

Merged error: 0.0b

Counts

239 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (/.f64 2 (-.f64 y t)))
0.6b	(cbrt.f64 (/.f64 2 (-.f64 y t)))
0.6b	(cbrt.f64 (/.f64 2 (-.f64 y t)))
1.4b	(.f64 x (/.f64 (.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t)))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

63×	`cbrt-prod_binary64`
54×	`add-sqr-sqrt_binary64`
51×	`*-un-lft-identity_binary64`
47×	`times-frac_binary64`
33×	`add-cube-cbrt_binary64`
22×	`add-exp-log_binary64`
14×	`add-cbrt-cube_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`pow1_binary64` `associate-/r/_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64`
3×	`cbrt-div_binary64` `flip3--_binary64` `pow1/3_binary64` `associate-l_binary64` `flip--_binary64`
2×	`unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

4 → 120

Calls

4 calls:

5.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
5.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
5.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
21.0ms	(.f64 x (/.f64 (.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t)))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

series191.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
38.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
36.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
81.0ms	(.f64 x (/.f64 (.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t)))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

simplify74.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5030	1885

prune126.0ms

Filtered

101 candidates to 132 candidates (-30.7%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	132	11	143

Merged error: 0.0b

Counts

143 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 y t))
0.5b	(cbrt.f64 (-.f64 y t))
0.5b	(cbrt.f64 (-.f64 y t))
5.8b	(.f64 (.f64 x (/.f64 (sqrt.f64 2) (*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t))))) (/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (-.f64 y t))) z))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

306×	`times-frac_binary64`
191×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
166×	`associate-r_binary64`
149×	`add-cube-cbrt_binary64`
105×	`cbrt-prod_binary64`
72×	`sqrt-prod_binary64`
58×	`add-exp-log_binary64`
48×	`add-cbrt-cube_binary64`
24×	`cbrt-unprod_binary64` `prod-exp_binary64`
21×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
18×	`cbrt-undiv_binary64` `div-exp_binary64`
12×	`cbrt-div_binary64`
9×	`pow1_binary64`
6×	`flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64`
3×	`pow-prod-down_binary64` `associate-*r/_binary64` `pow1/3_binary64`
1×	`associate-l_binary64` `frac-times_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 249

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 y t))
3.0ms	(cbrt.f64 (-.f64 y t))
3.0ms	(cbrt.f64 (-.f64 y t))
55.0ms	(.f64 (.f64 x (/.f64 (sqrt.f64 2) (*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t))))) (/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (-.f64 y t))) z))

series113.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt.f64 (-.f64 y t))
26.0ms	(cbrt.f64 (-.f64 y t))
25.0ms	(cbrt.f64 (-.f64 y t))
37.0ms	(.f64 (.f64 x (/.f64 (sqrt.f64 2) (*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t))))) (/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 (-.f64 y t))) z))

simplify78.0ms

Algorithm

egg-herbie

Counts

261 → 261

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5009	5641

prune175.0ms

Filtered

169 candidates to 261 candidates (-54.4%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	260	1	261
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	260	12	272

Merged error: 0b

Counts

272 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z)
0.4b	(*.f64 x (sqrt.f64 2))
0.5b	(/.f64 (sqrt.f64 2) (-.f64 y t))
6.3b	(.f64 (.f64 x (sqrt.f64 2)) (/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

456×	`times-frac_binary64`
321×	`add-sqr-sqrt_binary64`
317×	`*-un-lft-identity_binary64`
219×	`add-cube-cbrt_binary64`
127×	`sqrt-prod_binary64`
118×	`associate-r_binary64`
49×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
42×	`associate-/l*_binary64`
34×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-/r/_binary64`
11×	`pow1_binary64`
10×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
8×	`associate-/r*_binary64` `flip3--_binary64` `flip--_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-l_binary64`
2×	`unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`
1×	`associate-/l/_binary64` `associate-*r/_binary64`

Counts

4 → 375

Calls

4 calls:

13.0ms	(/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z)
5.0ms	(*.f64 x (sqrt.f64 2))
7.0ms	(/.f64 (sqrt.f64 2) (-.f64 y t))
32.0ms	(.f64 (.f64 x (sqrt.f64 2)) (/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z))

series67.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z)
5.0ms	(*.f64 x (sqrt.f64 2))
9.0ms	(/.f64 (sqrt.f64 2) (-.f64 y t))
37.0ms	(.f64 (.f64 x (sqrt.f64 2)) (/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) z))

simplify71.0ms

Algorithm

egg-herbie

Counts

387 → 387

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5004	5270

prune200.0ms

Filtered

226 candidates to 387 candidates (-71.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	385	2	387
Fresh	3	5	8
Picked	1	0	1
Done	2	1	3
Total	391	8	399

Merged error: 0b

Counts

399 → 8

regimes404.0ms

Accuracy

0% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	31
1	27	31

end0.0ms

sample554.0ms

Algorithm

intervals

Results

298.0ms	8000×	body	80	valid
25.0ms	702×	body	80	invalid

Details

analyze652.0ms

sample20.0ms

simplify62.0ms

prune13.0ms

localize7.0ms

rewrite52.0ms

series40.0ms

simplify64.0ms

prune168.0ms

localize15.0ms

rewrite43.0ms

series191.0ms

simplify74.0ms

prune126.0ms

localize13.0ms

rewrite84.0ms

series113.0ms

simplify78.0ms

prune175.0ms

localize9.0ms

rewrite82.0ms

series67.0ms

simplify71.0ms

prune200.0ms

regimes404.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample554.0ms

Profiling