Details

analyze711.0ms

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

sample21.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	13×	body	80	invalid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	1195	9
1	1195	9

prune11.0ms

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: 4.8b

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)
5.0b	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

rewrite53.0ms

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))
10.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
25.0ms	(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

series38.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(/.f64 2 (-.f64 y t))
11.0ms	(/.f64 (/.f64 2 (-.f64 y t)) z)
16.0ms	(*.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

prune269.0ms

Filtered

177 candidates to 237 candidates (-33.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	227	10	237
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	227	12	239

Merged error: 0.0b

Counts

239 → 12

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)))
1.3b	(.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))))

rewrite41.0ms

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))))

series180.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
34.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
36.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
76.0ms	(.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))))

simplify71.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5030	1885

prune192.0ms

Filtered

101 candidates to 132 candidates (-30.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	10	10
Picked	1	0	1
Done	0	1	1
Total	132	12	144

Merged error: 0.0b

Counts

144 → 12

localize28.0ms

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 1 (*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))))
1.3b	(.f64 x (/.f64 (.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t))))) (cbrt.f64 (/.f64 2 (cbrt.f64 (-.f64 y t)))))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

57×	`cbrt-prod_binary64`
40×	`add-sqr-sqrt_binary64`
38×	`*-un-lft-identity_binary64`
34×	`times-frac_binary64`
33×	`add-exp-log_binary64`
26×	`add-cube-cbrt_binary64`
19×	`add-cbrt-cube_binary64`
16×	`cbrt-unprod_binary64` `prod-exp_binary64`
15×	`cbrt-div_binary64`
12×	`associate-/r/_binary64`
8×	`flip3--_binary64` `flip--_binary64`
6×	`pow1_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64` `frac-times_binary64`
3×	`associate-r/_binary64` `pow1/3_binary64` `associate-l*_binary64`
2×	`associate-*l/_binary64`
1×	`pow-prod-down_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

4 → 117

Calls

4 calls:

5.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
5.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
11.0ms	(cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))))
27.0ms	(.f64 x (/.f64 (.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t))))) (cbrt.f64 (/.f64 2 (cbrt.f64 (-.f64 y t)))))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

series369.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
37.0ms	(cbrt.f64 (/.f64 2 (-.f64 y t)))
30.0ms	(cbrt.f64 (/.f64 1 (*.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t)))))
268.0ms	(.f64 x (/.f64 (.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (cbrt.f64 (-.f64 y t)) (cbrt.f64 (-.f64 y t))))) (cbrt.f64 (/.f64 2 (cbrt.f64 (-.f64 y t)))))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

simplify81.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5238	2467

prune243.0ms

Filtered

90 candidates to 129 candidates (-43.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	129	12	141

Merged error: 0.0b

Counts

141 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
3.3b	(.f64 (.f64 x (/.f64 (sqrt.f64 2) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) (cbrt.f64 z)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

396×	`times-frac_binary64`
269×	`add-sqr-sqrt_binary64`
261×	`*-un-lft-identity_binary64`
226×	`associate-r_binary64`
189×	`add-cube-cbrt_binary64`
130×	`cbrt-prod_binary64`
90×	`sqrt-prod_binary64`
60×	`add-exp-log_binary64`
44×	`add-cbrt-cube_binary64`
36×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
25×	`cbrt-unprod_binary64` `prod-exp_binary64`
18×	`cbrt-undiv_binary64` `div-exp_binary64`
16×	`pow1_binary64`
12×	`associate-/r/_binary64`
8×	`pow1/3_binary64`
7×	`associate-l_binary64` `div-inv_binary64`
6×	`flip3--_binary64` `swap-sqr_binary64` `flip--_binary64`
5×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
3×	`associate-*r/_binary64`
2×	`pow-prod-up_binary64` `pow-sqr_binary64` `*-commutative_binary64`
1×	`pow-plus_binary64` `frac-times_binary64` `pow2_binary64` `associate-*l/_binary64`

Counts

4 → 320

Calls

4 calls:

1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
6.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
50.0ms	(.f64 (.f64 x (/.f64 (sqrt.f64 2) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) (cbrt.f64 z)))

series82.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt.f64 z)
14.0ms	(cbrt.f64 z)
17.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
36.0ms	(.f64 (.f64 x (/.f64 (sqrt.f64 2) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (/.f64 (sqrt.f64 2) (-.f64 y t)) (cbrt.f64 z)))

simplify80.0ms

Algorithm

egg-herbie

Counts

332 → 332

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5031	5240

prune305.0ms

Filtered

204 candidates to 332 candidates (-62.7%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	332	0	332
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	332	12	344

Merged error: 0.0b

Counts

344 → 12

regimes654.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	45
1	37	45

end0.0ms

sample566.0ms

Algorithm

intervals

Results

309.0ms	8000×	body	80	valid
25.0ms	660×	body	80	invalid

Details

analyze711.0ms

sample21.0ms

simplify59.0ms

prune11.0ms

localize7.0ms

rewrite53.0ms

series38.0ms

simplify64.0ms

prune269.0ms

localize15.0ms

rewrite41.0ms

series180.0ms

simplify71.0ms

prune192.0ms

localize28.0ms

rewrite54.0ms

series369.0ms

simplify81.0ms

prune243.0ms

localize13.0ms

rewrite82.0ms

series82.0ms

simplify80.0ms

prune305.0ms

regimes654.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample566.0ms

Profiling