Details

sample68.0ms

Algorithm

intervals

Results

27.0ms	63×	body	1280	valid
12.0ms	48×	body	640	valid
9.0ms	152×	body	80	valid
4.0ms	25×	body	320	valid
3.0ms	107×	body	80	nan
1.0ms	13×	body	160	valid

simplify1.0s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	24	9
3	51	9
4	100	9
5	235	9
6	543	9
7	1636	9
done	5000	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (+ x y))
6.7b	(pow (/ x (+ x y)) x)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
24×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-down`
7×	`add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1` `pow-unpow` `associate-/l*`
2×	`flip3-+` `div-exp` `pow-exp` `flip-+` `div-inv` `add-log-exp`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `clear-num` `sqr-pow`

Counts

2 → 66

Calls

2 calls:

6.0ms	(/ x (+ x y))
8.0ms	(pow (/ x (+ x y)) x)

series273.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ x (+ x y))
230.0ms	(pow (/ x (+ x y)) x)

simplify952.0ms

Counts

72 → 72

Iterations

Useful iterations: 3 (394.0ms)

Iter	Nodes	Cost
0	129	836
1	308	785
2	781	756
3	2189	754
done	5001	754

prune157.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.4b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
13×	`unpow-prod-down`
12×	`cbrt-div`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-/r/`
6×	`flip3-+` `flip-+`
5×	`pow1` `pow-exp`
4×	`frac-times` `div-exp` `prod-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`associate-r/` `associate-l/`
1×	`pow-to-exp` `pow-pow` `times-frac` `div-inv` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
19.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series811.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt x)
183.0ms	(cbrt x)
173.0ms	(cbrt x)
272.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify993.0ms

Counts

76 → 76

Iterations

Useful iterations: 3 (389.0ms)

Iter	Nodes	Cost
0	150	1093
1	357	1017
2	856	899
3	2453	878
done	5001	878

prune255.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.6b	(cbrt x)
0.6b	(cbrt x)
4.0b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

55×	`cbrt-prod`
48×	`log-prod` `*-un-lft-identity`
42×	`times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`add-exp-log` `distribute-lft-out`
5×	`pow1`
4×	`cbrt-div` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
2×	`flip3-+` `rem-log-exp` `associate-/r/` `flip-+`
1×	`log-div` `div-exp` `log-pow` `div-inv`

Counts

4 → 95

Calls

4 calls:

2.0ms	(cbrt (+ x y))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
9.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series567.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (+ x y))
183.0ms	(cbrt x)
182.0ms	(cbrt x)
68.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify2.1s

Counts

107 → 107

Iterations

Useful iterations: 4 (1.0s)

Iter	Nodes	Cost
0	192	1355
1	359	1263
2	724	1206
3	1711	1163
4	4680	1159
done	5000	1159

prune400.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes53.0ms

Accuracy

88.8% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 5.9b

bsearch64.0ms

Steps

Iters	Range		Point
7	1.7032345034745653e-05	0.0005333266348582408	0.0005238356276561065
4	-3.226264717511912e+140	-1.7940569278775236e+140	-1.8181743492396227e+140

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	23	43
1	30	39
done	30	39

end0.0ms

sample1.7s

Algorithm

intervals

Results

662.0ms	1550×	body	1280	valid
363.0ms	1465×	body	640	valid
208.0ms	4851×	body	80	valid
131.0ms	819×	body	320	valid
93.0ms	3111×	body	80	nan
46.0ms	462×	body	160	valid