Details

sample99.0ms

Algorithm

intervals

Results

34.0ms	301×	body	80	nan
21.0ms	300×	body	80	valid

simplify8.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	30	16
2	84	16
3	261	16
4	691	16
5	1728	16
6	3874	16
done	5000	16

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite958.0ms

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:

23.0ms	(* (- a 0.5) b)
723.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
196.0ms	(- (+ (+ x y) z) (* z (log t)))
9.0ms	(* z (log t))

series361.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (- a 0.5) b)
211.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
59.0ms	(- (+ (+ x y) z) (* z (log t)))
59.0ms	(* z (log t))

simplify956.0ms

Counts

102 → 102

Iterations

Useful iterations: done (953.0ms)

Iter	Nodes	Cost
0	204	1549
1	531	1433
2	2172	1351
done	5001	1342

prune371.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x y) (- z (* z (log t))))
0.0b	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
0.2b	(- z (* z (log t)))
0.3b	(* z (log t))

rewrite295.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-log-exp`
24×	`frac-add`
17×	`sum-log`
15×	`*-un-lft-identity`
13×	`flip3--` `flip--`
12×	`add-sqr-sqrt` `log-prod` `associate-*l/`
10×	`add-cube-cbrt` `flip3-+` `flip-+`
7×	`pow1`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `associate--r+`
5×	`diff-log`
4×	`associate-r`
3×	`associate-l` `distribute-lft-out`
2×	`+-commutative` `associate-+r-` `sub-neg` `associate-+l+` `associate-+r+`
1×	`associate-+l-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

33.0ms	(+ (+ x y) (- z (* z (log t))))
234.0ms	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
9.0ms	(- z (* z (log t)))
14.0ms	(* z (log t))

series350.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ (+ x y) (- z (* z (log t))))
186.0ms	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
61.0ms	(- z (* z (log t)))
50.0ms	(* z (log t))

simplify1.8s

Counts

108 → 108

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	256	2670
1	852	2407
2	3960	2331
done	5000	2310

prune489.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(- z (+ (* (* 2 (log (cbrt t))) z) (* (log (cbrt t)) z)))
0.3b	(+ (* (* 2 (log (cbrt t))) z) (* (log (cbrt t)) z))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-log-exp`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`cbrt-prod` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
2×	`pow1/3` `diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `distribute-rgt-out` `flip3--` `flip3-+` `flip--` `flip-+` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 50

Calls

4 calls:

58.0ms	(- z (+ (* (* 2 (log (cbrt t))) z) (* (log (cbrt t)) z)))
22.0ms	(+ (* (* 2 (log (cbrt t))) z) (* (log (cbrt t)) z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series826.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(- z (+ (* (* 2 (log (cbrt t))) z) (* (log (cbrt t)) z)))
180.0ms	(+ (* (* 2 (log (cbrt t))) z) (* (log (cbrt t)) z))
231.0ms	(cbrt t)
255.0ms	(cbrt t)

simplify4.1s

Counts

62 → 62

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	96	855
1	253	584
2	869	505
3	4246	378
done	5001	376

prune348.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(- z (* (log (sqrt t)) z))
0.3b	(- (- z (* (log (sqrt t)) z)) (* z (log (sqrt t))))
0.3b	(* (log (sqrt t)) z)
0.3b	(* z (log (sqrt t)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

7.0ms	(- z (* (log (sqrt t)) z))
47.0ms	(- (- z (* (log (sqrt t)) z)) (* z (log (sqrt t))))
14.0ms	(* (log (sqrt t)) z)
16.0ms	(* z (log (sqrt t)))

series560.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(- z (* (log (sqrt t)) z))
163.0ms	(- (- z (* (log (sqrt t)) z)) (* z (log (sqrt t))))
155.0ms	(* (log (sqrt t)) z)
107.0ms	(* z (log (sqrt t)))

simplify2.4s

Counts

108 → 108

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	172	1377
1	401	1269
2	1026	1094
3	2722	1027
done	5001	1019

prune376.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes711.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	19
1	27	19
done	27	19

end0.0ms

sample3.1s

Algorithm

intervals

Results

955.0ms	9161×	body	80	nan
743.0ms	9142×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid