Details

sample26.0ms

Algorithm

intervals

Results

10.0ms	351×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	7
1	86	7
2	283	7
3	742	7
4	1197	7
5	1273	7
6	1273	7

prune2.0ms

Filtered

1 candidates to 0 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: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (+ y z) z)
0.0b	(* x (+ (+ (+ (+ y z) z) y) t))
0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

72×	`associate-+l+`
42×	`*-un-lft-identity`
23×	`distribute-lft-out`
22×	`+-commutative`
20×	`add-log-exp`
16×	`distribute-rgt-in` `distribute-lft-in`
10×	`sum-log`
8×	`add-sqr-sqrt`
7×	`associate-r` `associate-l`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`flip3-+` `flip-+`
2×	`associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 107

Calls

4 calls:

9.0ms	(+ (+ (+ y z) z) y)
6.0ms	(+ (+ y z) z)
16.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
28.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series162.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (+ (+ y z) z) y)
25.0ms	(+ (+ y z) z)
42.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
62.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	439	663
1	1770	617
2	5001	598

prune166.0ms

Filtered

119 candidates to 74 candidates (62.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	113	6	119
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	6	120

Merged error: 0.0b

Counts

120 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ y z)) (* x (+ (+ z y) t)))
0.0b	(* x (+ y z))
0.0b	(+ (+ (* x (+ y z)) (* x (+ (+ z y) t))) (* y 5.0))
0.0b	(* x (+ (+ z y) t))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

72×	`*-un-lft-identity`
44×	`distribute-lft-out`
34×	`associate-+l+`
27×	`associate-l`
21×	`+-commutative` `associate-r`
18×	`distribute-rgt-in` `distribute-lft-in`
16×	`associate-+r+`
14×	`add-sqr-sqrt`
12×	`associate-*r/`
11×	`add-log-exp`
10×	`add-cube-cbrt`
8×	`pow1` `add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
4×	`frac-add` `sum-log` `*-commutative`
2×	`pow-prod-down` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`distribute-rgt-out`

Counts

4 → 132

Calls

4 calls:

22.0ms	(+ (* x (+ y z)) (* x (+ (+ z y) t)))
6.0ms	(* x (+ y z))
35.0ms	(+ (+ (* x (+ y z)) (* x (+ (+ z y) t))) (* y 5.0))
8.0ms	(* x (+ (+ z y) t))

series161.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (* x (+ y z)) (* x (+ (+ z y) t)))
25.0ms	(* x (+ y z))
62.0ms	(+ (+ (* x (+ y z)) (* x (+ (+ z y) t))) (* y 5.0))
28.0ms	(* x (+ (+ z y) t))

simplify89.0ms

Algorithm

egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	577	870
1	3024	803
2	5002	800

prune232.0ms

Filtered

144 candidates to 100 candidates (69.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	140	4	144
Fresh	4	1	5
Picked	0	1	1
Done	0	0	0
Total	144	6	150

Merged error: 0.0b

Counts

150 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 76

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series744.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(* (cbrt x) (cbrt x))
179.0ms	(cbrt x)
175.0ms	(cbrt x)
180.0ms	(cbrt x)

simplify92.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	124	311
1	521	267
2	3234	241
3	5002	238

prune186.0ms

Filtered

88 candidates to 64 candidates (72.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	88	6	94

Merged error: 0.0b

Counts

94 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

143×	`*-un-lft-identity`
93×	`cbrt-prod`
70×	`associate-l`
60×	`distribute-lft-out`
30×	`swap-sqr`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-r`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cbrt-cube`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 134

Calls

4 calls:

57.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
26.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
24.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
24.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

series1.3s

Counts

4 → 12

Calls

4 calls:

418.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
294.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
303.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
298.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

simplify71.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	416	2887
1	1478	2731
2	5002	2277

prune249.0ms

Filtered

146 candidates to 75 candidates (51.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	145	1	146
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	145	7	152

Merged error: 0.0b

Counts

152 → 7

regimes180.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	21	8
2	21	8

end0.0ms

sample633.0ms

Algorithm

intervals

Results

324.0ms	10504×	body	80	valid
13.0ms	94×	body	1280	valid
13.0ms	114×	body	640	valid
3.0ms	41×	body	320	valid
2.0ms	32×	body	160	valid