Details

sample40.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
9.0ms	282×	body	80	nan

simplify509.0ms

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))

rewrite53.0ms

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:

18.0ms	(- (* x (log (/ x y))) z)
19.0ms	(* x (log (/ x y)))
6.0ms	(log (/ x y))

series259.0ms

Counts

3 → 9

Calls

3 calls:

125.0ms	(- (* x (log (/ x y))) z)
81.0ms	(* x (log (/ x y)))
52.0ms	(log (/ x y))

simplify2.1s

Counts

126 → 126

Iterations

Useful iterations: done (2.1s)

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

prune458.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

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:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

317.0ms	(cbrt x)
260.0ms	(cbrt x)
300.0ms	(cbrt y)
292.0ms	(cbrt y)

simplify1.9s

Counts

64 → 64

Iterations

Useful iterations: 3 (106.0ms)

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

prune331.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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))))

rewrite15.0ms

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)
11.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series881.0ms

Counts

4 → 12

Calls

4 calls:

274.0ms	(cbrt y)
229.0ms	(cbrt y)
261.0ms	(cbrt y)
117.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify3.1s

Counts

72 → 72

Iterations

Useful iterations: done (3.1s)

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

prune543.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

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))))

rewrite15.0ms

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)
11.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series1.0s

Counts

4 → 12

Calls

4 calls:

300.0ms	(cbrt y)
273.0ms	(cbrt y)
297.0ms	(cbrt y)
151.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify3.1s

Counts

72 → 72

Iterations

Useful iterations: done (3.1s)

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

prune359.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes178.0ms

Accuracy

93.8% (0.2b remaining)

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

bsearch125.0ms

Steps

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

simplify22.0ms

Iterations

Useful iterations: 0 (2.0ms)

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

end0.0ms

sample2.3s

Algorithm

intervals

Results

546.0ms	8042×	body	80	valid
439.0ms	8059×	body	80	nan