Details

sample33.0ms

Algorithm

intervals

Results

10.0ms	282×	body	80	valid
7.0ms	273×	body	80	nan

simplify892.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	12
1	25	12
2	46	12
3	84	12
4	145	12
5	184	12
6	237	12
7	346	12
8	540	12
9	704	12
10	745	12
11	746	12
done	746	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
8×	`pow1` `distribute-lft-out`
7×	`add-sqr-sqrt` `associate-r`
5×	`add-cube-cbrt` `add-log-exp`
4×	`add-exp-log` `log-pow` `add-cbrt-cube` `distribute-lft-out--`
3×	`associate-+r+` `log-prod` `associate-l`
2×	`associate-+l+` `flip3-+` `associate-*r/` `sum-log` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l-` `sub-neg` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 48

Calls

2 calls:

14.0ms	(+ (- 1.0 z) (log z))
43.0ms	(* y (+ (- 1.0 z) (log z)))

series244.0ms

Counts

2 → 6

Calls

2 calls:

166.0ms	(+ (- 1.0 z) (log z))
78.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.5s

Counts

54 → 54

Iterations

Useful iterations: 3 (449.0ms)

Iter	Nodes	Cost
0	95	529
1	248	501
2	729	444
3	3310	443
done	5000	443

prune114.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 z) y)
0.2b	(+ (* (- 1.0 z) y) (* y (log z)))
0.3b	(* y (log z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`log-prod`
11×	`add-cube-cbrt`
8×	`pow1` `associate-l`
7×	`add-exp-log` `associate-r` `add-cbrt-cube`
6×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
5×	`add-log-exp`
2×	`pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `log-pow` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 64

Calls

3 calls:

10.0ms	(* (- 1.0 z) y)
6.0ms	(+ (* (- 1.0 z) y) (* y (log z)))
4.0ms	(* y (log z))

series167.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* (- 1.0 z) y)
93.0ms	(+ (* (- 1.0 z) y) (* y (log z)))
38.0ms	(* y (log z))

simplify2.4s

Counts

73 → 73

Iterations

Useful iterations: 3 (971.0ms)

Iter	Nodes	Cost
0	129	708
1	298	643
2	896	558
3	3998	544
done	5000	544

prune172.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (* (log (cbrt z)) y))
0.3b	(* (log (cbrt z)) y)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `cbrt-prod` `add-cbrt-cube` `add-log-exp`
5×	`associate-l`
3×	`pow1/3` `associate-r`
2×	`log-pow`
1×	`+-commutative` `distribute-rgt-out` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 54

Calls

4 calls:

8.0ms	(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (* (log (cbrt z)) y))
4.0ms	(* (log (cbrt z)) y)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series642.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(+ (* (- 1.0 (- z (* 2 (log (cbrt z))))) y) (* (log (cbrt z)) y))
124.0ms	(* (log (cbrt z)) y)
178.0ms	(cbrt z)
183.0ms	(cbrt z)

simplify2.2s

Counts

66 → 66

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	98	697
1	243	633
2	805	551
3	3797	450
done	5000	449

prune221.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* (- 1.0 (- z (* 2 (log (pow z 1/3))))) y) (* (log (cbrt z)) y))
0.3b	(* (log (cbrt z)) y)
0.6b	(cbrt z)
4.9b	(pow z 1/3)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`associate-l`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `associate-r`
2×	`pow1/3` `log-pow`
1×	`+-commutative` `pow-to-exp` `distribute-rgt-out` `pow-pow` `flip3-+` `unpow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr` `sqr-pow`

Counts

4 → 61

Calls

4 calls:

8.0ms	(+ (* (- 1.0 (- z (* 2 (log (pow z 1/3))))) y) (* (log (cbrt z)) y))
4.0ms	(* (log (cbrt z)) y)
0.0ms	(cbrt z)
1.0ms	(pow z 1/3)

series670.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(+ (* (- 1.0 (- z (* 2 (log (pow z 1/3))))) y) (* (log (cbrt z)) y))
119.0ms	(* (log (cbrt z)) y)
181.0ms	(cbrt z)
178.0ms	(pow z 1/3)

simplify2.8s

Counts

73 → 73

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	130	783
1	318	668
2	999	588
3	4671	479
done	5000	479

prune241.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes96.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	17	14
done	17	14

end0.0ms

sample1.0s

Algorithm

intervals

Results

348.0ms	9107×	body	80	valid
266.0ms	8940×	body	80	nan