Details

sample57.0ms

Algorithm

intervals

Results

14.0ms	300×	body	80	valid
13.0ms	338×	body	80	nan

simplify5.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	30	16
2	83	16
3	224	16
4	618	16
5	1600	16
6	3205	16
done	5001	16

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.0b	(* (- a 0.5) b)
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite372.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

272.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
10.0ms	(* (- a 0.5) b)
83.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series298.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
36.0ms	(* (- a 0.5) b)
48.0ms	(- (+ (+ x y) z) (* z (log t)))
47.0ms	(* z (log t))

simplify809.0ms

Counts

102 → 102

Iterations

Useful iterations: 2 (211.0ms)

Iter	Nodes	Cost
0	204	1549
1	527	1433
2	2093	1351
done	5000	1351

prune371.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.0b	(* (- a 0.5) b)
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite372.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

271.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
10.0ms	(* (- a 0.5) b)
84.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series302.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
36.0ms	(* (- a 0.5) b)
49.0ms	(- (+ (+ x y) z) (* z (log t)))
49.0ms	(* z (log t))

simplify800.0ms

Counts

102 → 102

Iterations

Useful iterations: 2 (204.0ms)

Iter	Nodes	Cost
0	204	1549
1	527	1433
2	2093	1351
done	5000	1351

prune406.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2 (log (cbrt t))) z)
0.3b	(+ (* (* 2 (log (cbrt t))) z) (* z (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite21.0ms

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 t))) z)
10.0ms	(+ (* (* 2 (log (cbrt t))) z) (* z (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series766.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(* (* 2 (log (cbrt t))) z)
170.0ms	(+ (* (* 2 (log (cbrt t))) z) (* z (log (cbrt t))))
219.0ms	(cbrt t)
211.0ms	(cbrt t)

simplify4.0s

Counts

75 → 75

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	123	811
1	296	731
2	942	583
3	4709	473
done	5000	473

prune657.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (log (cbrt t)))
0.3b	(* (* 2 (log (cbrt t))) z)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1` `cbrt-prod` `log-prod`
11×	`add-exp-log` `add-cbrt-cube`
8×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 72

Calls

4 calls:

5.0ms	(* z (log (cbrt t)))
8.0ms	(* (* 2 (log (cbrt t))) z)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series694.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* z (log (cbrt t)))
172.0ms	(* (* 2 (log (cbrt t))) z)
200.0ms	(cbrt t)
201.0ms	(cbrt t)

simplify2.3s

Counts

84 → 84

Iterations

Useful iterations: 3 (979.0ms)

Iter	Nodes	Cost
0	110	670
1	225	632
2	691	528
3	2795	518
done	5000	518

prune353.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes551.0ms

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	20	25
1	27	25
done	27	25

end0.0ms

sample1.5s

Algorithm

intervals

Results

452.0ms	9170×	body	80	valid
373.0ms	9078×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid