Details

sample47.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
9.0ms	282×	body	80	nan

simplify583.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	18	8
3	25	8
4	45	8
5	72	8
6	97	8
7	117	8
8	142	8
9	182	8
10	245	8
11	275	8
12	288	8
done	288	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.2b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log (/ x y))) z)
0.3b	(* x (log (/ x y)))
17.5b	(log (/ x y))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

65×	`log-prod`
45×	`times-frac`
43×	`add-sqr-sqrt`
41×	`add-cube-cbrt` `*-un-lft-identity`
26×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
8×	`add-exp-log`
7×	`pow1`
5×	`add-cbrt-cube` `div-inv` `add-log-exp`
4×	`associate-r`
3×	`expm1-log1p-u` `associate-l` `prod-diff` `log1p-expm1-u`
2×	`rem-log-exp` `log-pow`
1×	`sub-neg` `log-div` `flip3--` `fma-neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

3 → 117

Calls

3 calls:

38.0ms	(- (* x (log (/ x y))) z)
28.0ms	(* x (log (/ x y)))
6.0ms	(log (/ x y))

series206.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(- (* x (log (/ x y))) z)
68.0ms	(* x (log (/ x y)))
45.0ms	(log (/ x y))

simplify2.3s

Counts

126 → 126

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	215	1393
1	412	1296
2	781	1218
3	2467	1187
done	5001	1181

prune398.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

351.0ms	(cbrt x)
293.0ms	(cbrt x)
292.0ms	(cbrt y)
274.0ms	(cbrt y)

simplify2.1s

Counts

64 → 64

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	46	284
1	75	268
2	148	244
3	303	232
4	759	232
5	2538	232
done	5000	232

prune425.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
4.4b	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `log-prod` `rem-log-exp`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`log-div` `times-frac` `log-pow` `div-inv`

Counts

4 → 60

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
12.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series921.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(cbrt y)
246.0ms	(cbrt y)
285.0ms	(cbrt y)
127.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify2.8s

Counts

72 → 72

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	75	539
1	139	515
2	290	410
3	760	376
4	2733	373
done	5001	366

prune382.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y))
0.6b	(cbrt y)
0.6b	(cbrt y)
4.4b	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (* (cbrt -1) (cbrt (- y))))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
16×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`prod-exp`
7×	`rem-log-exp`
6×	`div-exp`
5×	`pow1` `log-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow1/3`
1×	`neg-mul-1` `log-div` `times-frac` `log-pow` `div-inv`

Counts

4 → 69

Calls

4 calls:

3.0ms	(cbrt (- y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
57.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (* (cbrt -1) (cbrt (- y))))))

series973.0ms

Counts

4 → 12

Calls

4 calls:

226.0ms	(cbrt (- y))
266.0ms	(cbrt y)
238.0ms	(cbrt y)
242.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (* (cbrt -1) (cbrt (- y))))))

simplify1.1s

Counts

81 → 81

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	110	708
1	196	683
2	453	601
3	1485	588
done	5000	572

prune477.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes215.0ms

Accuracy

93.8% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.8b

bsearch93.0ms

Steps

Iters	Range		Point
10	-2.3640911304613525e-298	6.470961600273976e-303	-5.43504861321096e-309

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	44
1	37	44
done	37	44

end0.0ms

sample2.1s

Algorithm

intervals

Results

853.0ms	8059×	body	80	nan
479.0ms	8042×	body	80	valid