Details

sample119.0ms

Algorithm

intervals

Results

45.0ms	814×	body	80	nan
21.0ms	299×	body	80	valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	21
1	38	21
2	97	21
3	358	21
4	1139	21
5	2716	21
6	4064	21
done	5001	21

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.0b	(+ (+ (* x (log y)) z) t)
0.2b	(* (- b 0.5) (log c))
0.2b	(* x (log y))

rewrite294.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-log-exp`
20×	`add-sqr-sqrt`
18×	`log-prod` `*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`sum-log`
10×	`pow1`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
6×	`associate-+r+` `associate-*l/`
4×	`flip3-+` `frac-add` `flip-+`
3×	`flip3--` `flip--`
2×	`+-commutative` `associate-+l+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 93

Calls

4 calls:

262.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
14.0ms	(+ (+ (* x (log y)) z) t)
10.0ms	(* (- b 0.5) (log c))
4.0ms	(* x (log y))

series365.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
42.0ms	(+ (+ (* x (log y)) z) t)
56.0ms	(* (- b 0.5) (log c))
37.0ms	(* x (log y))

simplify662.0ms

Counts

105 → 105

Iterations

Useful iterations: done (659.0ms)

Iter	Nodes	Cost
0	240	1648
1	608	1560
2	2222	1453
done	5000	1451

prune423.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log y))
0.3b	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (- b 0.5) (log (cbrt c))))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod` `associate-+r+`
11×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`associate-+l+` `flip3--` `associate-r/` `associate-r` `associate-l/` `frac-add` `flip--`
3×	`associate-l`
2×	`sub-neg` `pow1/3`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

4.0ms	(* x (log y))
16.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (- b 0.5) (log (cbrt c))))
0.0ms	(cbrt c)
1.0ms	(cbrt c)

series672.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* x (log y))
292.0ms	(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (- b 0.5) (log (cbrt c))))
172.0ms	(cbrt c)
173.0ms	(cbrt c)

simplify576.0ms

Counts

90 → 90

Iterations

Useful iterations: done (573.0ms)

Iter	Nodes	Cost
0	188	1229
1	470	1127
2	1609	884
done	5001	870

prune505.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (pow c 2/3))
0.6b	(cbrt c)
0.6b	(cbrt c)
5.9b	(pow c 2/3)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt (pow c 2/3))
0.0ms	(cbrt c)
1.0ms	(cbrt c)
2.0ms	(pow c 2/3)

series733.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt (pow c 2/3))
186.0ms	(cbrt c)
184.0ms	(cbrt c)
176.0ms	(pow c 2/3)

simplify808.0ms

Counts

66 → 66

Iterations

Useful iterations: done (806.0ms)

Iter	Nodes	Cost
0	75	385
1	140	339
2	315	307
3	986	293
done	5000	291

prune419.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
9.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series581.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* x (log (cbrt y)))
134.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
176.0ms	(cbrt y)
179.0ms	(cbrt y)

simplify2.7s

Counts

89 → 89

Iterations

Useful iterations: 3 (641.0ms)

Iter	Nodes	Cost
0	119	909
1	256	837
2	795	675
3	3912	588
done	5000	588

prune417.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes924.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	38
1	43	38
done	43	38

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.5s	27925×	body	80	nan
573.0ms	9147×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	2×	body	320	valid