Details

sample80.0ms

Algorithm

intervals

Results

24.0ms	315×	body	80	nan
17.0ms	304×	body	80	valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	30	16
2	84	16
3	267	16
4	958	16
5	3749	16
done	5001	16

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

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))

rewrite948.0ms

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:

714.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
29.0ms	(* (- a 0.5) b)
193.0ms	(- (+ (+ x y) z) (* z (log t)))
9.0ms	(* z (log t))

series271.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
33.0ms	(* (- a 0.5) b)
47.0ms	(- (+ (+ x y) z) (* z (log t)))
41.0ms	(* z (log t))

simplify1.1s

Counts

102 → 102

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	204	1549
1	562	1434
2	2429	1354
done	5001	1345

prune347.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt t)) z)
0.2b	(* (* 2 (log (cbrt t))) z)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

13.0ms	(* (log (cbrt t)) z)
35.0ms	(* (* 2 (log (cbrt t))) z)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series830.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (log (cbrt t)) z)
169.0ms	(* (* 2 (log (cbrt t))) z)
278.0ms	(cbrt t)
237.0ms	(cbrt t)

simplify817.0ms

Counts

72 → 72

Iterations

Useful iterations: done (815.0ms)

Iter	Nodes	Cost
0	88	525
1	220	495
2	1216	413
done	5000	400

prune424.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2 (log (cbrt t))) z)
0.3b	(* (log t) z)
0.4b	(* 1/3 (* (log t) z))
0.6b	(cbrt t)

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1`
16×	`add-exp-log` `add-cbrt-cube`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
7×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`cbrt-prod` `*-commutative`
1×	`pow1/3` `log-pow` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

36.0ms	(* (* 2 (log (cbrt t))) z)
13.0ms	(* (log t) z)
26.0ms	(* 1/3 (* (log t) z))
1.0ms	(cbrt t)

series577.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (* 2 (log (cbrt t))) z)
71.0ms	(* (log t) z)
90.0ms	(* 1/3 (* (log t) z))
261.0ms	(cbrt t)

simplify1.1s

Counts

78 → 78

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	121	616
1	305	581
2	1571	458
done	5001	440

prune504.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log t) z)
0.4b	(* (sqrt 1/3) (* (log t) z))
0.4b	(* (sqrt 1/3) (* (sqrt 1/3) (* (log t) z)))
0.6b	(cbrt t)

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
16×	`associate-l`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`sqrt-prod`
5×	`associate-r`
4×	`add-log-exp`
3×	`cbrt-prod` `*-commutative`
1×	`pow1/3` `log-pow` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

13.0ms	(* (log t) z)
32.0ms	(* (sqrt 1/3) (* (log t) z))
80.0ms	(* (sqrt 1/3) (* (sqrt 1/3) (* (log t) z)))
1.0ms	(cbrt t)

series669.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (log t) z)
112.0ms	(* (sqrt 1/3) (* (log t) z))
210.0ms	(* (sqrt 1/3) (* (sqrt 1/3) (* (log t) z)))
279.0ms	(cbrt t)

simplify782.0ms

Counts

87 → 87

Iterations

Useful iterations: done (780.0ms)

Iter	Nodes	Cost
0	116	827
1	288	682
2	1348	595
done	5000	548

prune383.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes613.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	30
1	34	30
done	34	30

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.4s	9151×	body	80	valid
711.0ms	9192×	body	80	nan
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid