Details

sample77.0ms

Algorithm

intervals

Results

30.0ms	928×	body	80	nan
13.0ms	257×	body	80	valid

simplify607.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	48	11
3	112	11
4	207	11
5	273	11
6	383	11
7	546	11
8	589	11
9	591	11
done	591	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

68.0ms	(+ (- (- (* x (log y)) y) z) (log t))
4.0ms	(- (* x (log y)) y)
4.0ms	(* x (log y))

series141.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (- (- (* x (log y)) y) z) (log t))
60.0ms	(- (* x (log y)) y)
38.0ms	(* x (log y))

simplify1.1s

Counts

83 → 83

Iterations

Useful iterations: 3 (442.0ms)

Iter	Nodes	Cost
0	148	857
1	319	828
2	749	776
3	2361	730
done	5000	730

prune213.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

8.0ms	(* (* 2 (log (cbrt y))) x)
9.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series620.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (* 2 (log (cbrt y))) x)
134.0ms	(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
179.0ms	(cbrt y)
180.0ms	(cbrt y)

simplify955.0ms

Counts

75 → 75

Iterations

Useful iterations: done (953.0ms)

Iter	Nodes	Cost
0	123	811
1	294	731
2	977	551
done	5000	537

prune285.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* 2 (log (cbrt t))) (- (- (* x (log y)) y) z)) (log (cbrt t)))
0.2b	(* x (log y))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

187.0ms	(+ (+ (* 2 (log (cbrt t))) (- (- (* x (log y)) y) z)) (log (cbrt t)))
4.0ms	(* x (log y))
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series522.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(+ (+ (* 2 (log (cbrt t))) (- (- (* x (log y)) y) z)) (log (cbrt t)))
38.0ms	(* x (log y))
177.0ms	(cbrt t)
183.0ms	(cbrt t)

simplify1.8s

Counts

83 → 83

Iterations

Useful iterations: 3 (820.0ms)

Iter	Nodes	Cost
0	145	944
1	324	912
2	877	783
3	4299	680
done	5000	680

prune249.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (cbrt y))
0.0b	(- (* (log (cbrt y)) (* 3 x)) y)
0.4b	(* (log (cbrt y)) (* 3 x))
0.6b	(cbrt y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `log-prod` `add-log-exp`
5×	`associate-l`
4×	`log-pow`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `associate-r` `*-commutative` `flip--`

Counts

4 → 59

Calls

4 calls:

1.0ms	(log (cbrt y))
6.0ms	(- (* (log (cbrt y)) (* 3 x)) y)
7.0ms	(* (log (cbrt y)) (* 3 x))
1.0ms	(cbrt y)

series669.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(log (cbrt y))
118.0ms	(- (* (log (cbrt y)) (* 3 x)) y)
124.0ms	(* (log (cbrt y)) (* 3 x))
182.0ms	(cbrt y)

simplify2.2s

Counts

71 → 71

Iterations

Useful iterations: 3 (814.0ms)

Iter	Nodes	Cost
0	101	632
1	219	580
2	656	493
3	2485	470
done	5000	470

prune192.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes199.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	20
1	20	20
done	20	20

end0.0ms

sample2.0s

Algorithm

intervals

Results

805.0ms	24616×	body	80	nan
333.0ms	8032×	body	80	valid
0.0ms	1×	body	320	valid