Details

sample68.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
14.0ms	246×	body	80	nan

simplify3.1s

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	84	8
6	125	8
7	169	8
8	261	8
9	591	8
10	2042	8
done	5000	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log (/ x y))) z)
0.2b	(* x (log (/ x y)))
17.4b	(log (/ x y))

rewrite38.0ms

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:

15.0ms	(- (* x (log (/ x y))) z)
14.0ms	(* x (log (/ x y)))
3.0ms	(log (/ x y))

series227.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(- (* x (log (/ x y))) z)
59.0ms	(* x (log (/ x y)))
72.0ms	(log (/ x y))

simplify1.3s

Counts

126 → 126

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	215	1393
1	500	1299
2	1513	1223
done	5001	1219

prune408.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
3.9b	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite28.0ms

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:

2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)
21.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series959.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(cbrt x)
281.0ms	(cbrt x)
268.0ms	(cbrt x)
150.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify812.0ms

Counts

72 → 72

Iterations

Useful iterations: done (809.0ms)

Iter	Nodes	Cost
0	75	539
1	144	515
2	340	418
3	1178	376
done	5001	373

prune356.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.7b	(+ (* x (log (* (cbrt x) (cbrt x)))) (* x (log (/ (cbrt x) y))))
4.5b	(log (/ (cbrt x) y))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

68×	`log-prod`
54×	`times-frac`
45×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
44×	`associate-+r+`
33×	`cbrt-prod`
23×	`distribute-rgt-in` `distribute-lft-in`
7×	`add-exp-log`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`div-inv`
2×	`associate-+l+` `pow1/3` `rem-log-exp`
1×	`+-commutative` `log-div` `fma-def` `flip3-+` `div-exp` `sum-log` `log-pow` `flip-+` `distribute-lft-out`

Counts

4 → 122

Calls

4 calls:

1.0ms	(cbrt x)
2.0ms	(cbrt x)
38.0ms	(+ (* x (log (* (cbrt x) (cbrt x)))) (* x (log (/ (cbrt x) y))))
4.0ms	(log (/ (cbrt x) y))

series990.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(cbrt x)
253.0ms	(cbrt x)
360.0ms	(+ (* x (log (* (cbrt x) (cbrt x)))) (* x (log (/ (cbrt x) y))))
146.0ms	(log (/ (cbrt x) y))

simplify2.9s

Counts

134 → 134

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	251	1833
1	602	1452
2	2446	1295
done	5002	1252

prune612.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.7b	(+ (* (- (log (* (cbrt y) (cbrt y)))) x) (* (log (/ x (cbrt y))) x))
4.7b	(log (/ x (cbrt y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

22×	`log-prod`
19×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
15×	`cbrt-prod`
7×	`add-exp-log`
6×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
2×	`pow1/3` `rem-log-exp`
1×	`+-commutative` `log-div` `distribute-rgt-out` `fma-def` `flip3-+` `div-exp` `sum-log` `log-pow` `flip-+` `div-inv`

Counts

4 → 76

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
26.0ms	(+ (* (- (log (* (cbrt y) (cbrt y)))) x) (* (log (/ x (cbrt y))) x))
6.0ms	(log (/ x (cbrt y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

198.0ms	(cbrt y)
247.0ms	(cbrt y)
417.0ms	(+ (* (- (log (* (cbrt y) (cbrt y)))) x) (* (log (/ x (cbrt y))) x))
191.0ms	(log (/ x (cbrt y)))

simplify695.0ms

Counts

88 → 88

Iterations

Useful iterations: done (692.0ms)

Iter	Nodes	Cost
0	173	1012
1	409	870
2	1386	794
done	5001	755

prune402.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes251.0ms

Accuracy

90.3% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.6b

bsearch50.0ms

Steps

Iters	Range		Point
6	-8.133419512536697e-308	1.1137246268082085e-308	-5.640858341756123e-309

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	31
1	28	31
done	28	31

end0.0ms

sample1.8s

Algorithm

intervals

Results

619.0ms	7807×	body	80	nan
442.0ms	8030×	body	80	valid