Details

sample444.0ms

Algorithm

intervals

Results

237.0ms	1595×	body	80	nan
32.0ms	256×	body	80	valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	59	16
3	149	16
4	442	16
5	1543	16
done	5000	16

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize50.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.4b	(+ (log (+ x y)) (log z))

rewrite433.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

355.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
47.0ms	(* (- a 0.5) (log t))
22.0ms	(+ (log (+ x y)) (log z))

series622.0ms

Counts

3 → 9

Calls

3 calls:

386.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
102.0ms	(* (- a 0.5) (log t))
134.0ms	(+ (log (+ x y)) (log z))

simplify1.9s

Counts

89 → 89

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	224	1499
1	599	1424
2	2539	1327
done	5002	1321

prune935.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (+ (* 2 (log (cbrt z))) (log (+ x y))) (log (cbrt z)))
0.5b	(+ (* 2 (log (cbrt z))) (log (+ x y)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

22×	`log-prod`
18×	`*-un-lft-identity`
15×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `associate-+l+`
10×	`associate-+r+`
7×	`add-log-exp`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`pow1`
4×	`add-exp-log` `associate-+r-` `log-div` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`
3×	`distribute-lft-out`
2×	`+-commutative` `associate-+l-` `pow1/3`
1×	`log-pow`

Counts

4 → 74

Calls

4 calls:

88.0ms	(+ (+ (* 2 (log (cbrt z))) (log (+ x y))) (log (cbrt z)))
42.0ms	(+ (* 2 (log (cbrt z))) (log (+ x y)))
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.3s

Counts

4 → 12

Calls

4 calls:

261.0ms	(+ (+ (* 2 (log (cbrt z))) (log (+ x y))) (log (cbrt z)))
239.0ms	(+ (* 2 (log (cbrt z))) (log (+ x y)))
387.0ms	(cbrt z)
375.0ms	(cbrt z)

simplify1.4s

Counts

86 → 86

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	147	1044
1	378	988
2	1729	867
done	5000	838

prune1.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ (- (log z) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.2b	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

rewrite325.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

86.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
47.0ms	(* (- a 0.5) (log t))
185.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

series651.0ms

Counts

3 → 9

Calls

3 calls:

155.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
111.0ms	(* (- a 0.5) (log t))
385.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

simplify1.7s

Counts

89 → 89

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	228	1550
1	638	1459
2	2418	1364
done	5002	1356

prune794.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (+ (log (+ x y)) (log z)) (- t (* (* 2 (log (cbrt t))) (- a 0.5)))) (* (- a 0.5) (log (cbrt t))))
0.4b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite457.0ms

Algorithm

rewrite-expression-head

Rules

19×	`log-prod`
18×	`*-un-lft-identity` `add-log-exp`
15×	`associate-+r+`
12×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `flip3--` `associate-*l/` `frac-add` `flip--`
8×	`pow1` `associate-+l+` `sum-log` `frac-sub`
7×	`flip3-+` `flip-+`
6×	`distribute-rgt-in` `distribute-lft-in` `diff-log`
5×	`distribute-lft-out`
4×	`add-exp-log` `log-pow` `add-cbrt-cube`
3×	`associate-+l-`
2×	`+-commutative` `log-div` `pow1/3`
1×	`sub-neg` `associate--l+` `associate--r-`

Counts

4 → 90

Calls

4 calls:

427.0ms	(+ (- (+ (log (+ x y)) (log z)) (- t (* (* 2 (log (cbrt t))) (- a 0.5)))) (* (- a 0.5) (log (cbrt t))))
20.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.5s

Counts

4 → 12

Calls

4 calls:

705.0ms	(+ (- (+ (log (+ x y)) (log z)) (- t (* (* 2 (log (cbrt t))) (- a 0.5)))) (* (- a 0.5) (log (cbrt t))))
137.0ms	(+ (log (+ x y)) (log z))
347.0ms	(cbrt t)
318.0ms	(cbrt t)

simplify3.0s

Counts

102 → 102

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	289	3557
1	957	3270
2	4694	2984
done	5000	2970

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes1.9s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	23
1	25	23
done	25	23

end0.0ms

sample16.5s

Algorithm

intervals

Results

9.2s	55799×	body	80	nan
1.8s	8040×	body	80	valid