Details

sample23.0ms

Algorithm

intervals

Results

4.0ms	189×	body	80	valid
3.0ms	28×	body	1280	valid
3.0ms	256×	pre	80	true
2.0ms	20×	body	640	valid
1.0ms	13×	body	320	valid
0.0ms	6×	body	160	valid

simplify418.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	20	13
2	34	13
3	52	13
4	73	13
5	118	13
6	161	13
7	199	13
8	230	13
9	268	13
10	296	13
11	307	13
12	319	13
13	323	13
done	323	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
1.5b	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

104×	`*-un-lft-identity`
50×	`times-frac`
47×	`add-sqr-sqrt`
34×	`distribute-lft-out`
31×	`fma-def`
25×	`add-cube-cbrt`
11×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `associate-/r/` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `flip3--` `frac-2neg` `div-exp` `clear-num` `sum-log` `flip--`

Counts

2 → 100

Calls

2 calls:

48.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
176.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

series113.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (- beta alpha) (+ (+ alpha beta) 2.0))
61.0ms	(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

simplify1.5s

Counts

106 → 106

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	128	1178
1	335	1110
2	950	1056
3	3094	1048
done	5001	1043

prune217.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 14.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ alpha (+ (+ alpha beta) 2.0))
0.0b	(/ beta (+ (+ alpha beta) 2.0))
1.5b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

rewrite292.0ms

Algorithm

rewrite-expression-head

Rules

182×	`*-un-lft-identity`
91×	`times-frac`
85×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
63×	`prod-diff`
60×	`distribute-lft-out`
21×	`fma-neg`
12×	`associate-/r/`
10×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `div-inv` `associate-/l*`
5×	`add-log-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

3 → 179

Calls

3 calls:

36.0ms	(/ alpha (+ (+ alpha beta) 2.0))
35.0ms	(/ beta (+ (+ alpha beta) 2.0))
213.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

series185.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ alpha (+ (+ alpha beta) 2.0))
54.0ms	(/ beta (+ (+ alpha beta) 2.0))
80.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)

simplify1.6s

Counts

188 → 188

Iterations

Useful iterations: 3 (815.0ms)

Iter	Nodes	Cost
0	221	3563
1	492	2856
2	1159	2541
3	3589	2285
done	5000	2285

prune327.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.9b

localize14.0ms

Local error

Found 4 expressions with local error:

1.5b	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
7.5b	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
7.5b	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
7.5b	(cbrt (/ beta (+ (+ alpha beta) 2.0)))

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

195×	`*-un-lft-identity`
106×	`times-frac`
93×	`add-sqr-sqrt`
88×	`add-cube-cbrt`
63×	`cbrt-prod` `prod-diff` `distribute-lft-out`
21×	`fma-neg`
14×	`associate-/r/`
7×	`flip3-+` `flip-+` `div-inv`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`cbrt-div` `pow1/3`
2×	`difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 197

Calls

4 calls:

209.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
18.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
18.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
21.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))

series517.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(- (/ alpha (+ (+ alpha beta) 2.0)) 1.0)
144.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
148.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
143.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))

simplify1.7s

Counts

209 → 209

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	241	4333
1	510	3600
2	1164	3227
3	3450	2824
done	5000	2746

prune464.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.9b

localize17.0ms

Local error

Found 4 expressions with local error:

7.5b	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
7.5b	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
7.5b	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
9.6b	(log (exp (cbrt (/ beta (+ (+ alpha beta) 2.0)))))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

102×	`*-un-lft-identity`
84×	`cbrt-prod`
60×	`times-frac`
42×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`distribute-lft-out`
25×	`log-pow`
24×	`exp-prod`
8×	`associate-/r/`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-div` `log-prod` `pow1/3`
1×	`rem-log-exp`

Counts

4 → 134

Calls

4 calls:

19.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
17.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
17.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
80.0ms	(log (exp (cbrt (/ beta (+ (+ alpha beta) 2.0)))))

series580.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
141.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
148.0ms	(cbrt (/ beta (+ (+ alpha beta) 2.0)))
141.0ms	(log (exp (cbrt (/ beta (+ (+ alpha beta) 2.0)))))

simplify1.1s

Counts

146 → 146

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	167	2304
1	287	2102
2	631	1957
3	1656	1931
done	5001	1883

prune469.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.9b

regimes92.0ms

Accuracy

74.6% (3.3b remaining)

Error of 6.4b against oracle of 3.1b and baseline of 16.1b

bsearch36.0ms

Steps

Iters	Range		Point
6	9.393778871846807e+23	5.890861695143504e+24	2.494813499756589e+24

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	71
1	35	71
done	35	71

end0.0ms

sample827.0ms

Algorithm

intervals

Results

285.0ms	707×	body	640	valid
139.0ms	5829×	body	80	valid
100.0ms	868×	body	1280	valid
86.0ms	8000×	pre	80	true
25.0ms	378×	body	320	valid
10.0ms	218×	body	160	valid