Details

sample80.0ms

Algorithm

intervals

Results

25.0ms	251×	body	80	nan
17.0ms	286×	body	80	valid

simplify2.5s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 3 expressions with local error:

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))

rewrite859.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

634.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
203.0ms	(- (+ (+ x y) z) (* z (log t)))
18.0ms	(* z (log t))

series304.0ms

Counts

3 → 9

Calls

3 calls:

201.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
57.0ms	(- (+ (+ x y) z) (* z (log t)))
47.0ms	(* z (log t))

simplify1.3s

Counts

77 → 77

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	175	1358
1	512	1262
2	2169	1196
done	5002	1187

prune470.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (+ (+ x y) z) (* (log (sqrt t)) z))
0.1b	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
0.3b	(* (log (sqrt t)) z)
0.3b	(* z (log (sqrt t)))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

193.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
985.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
10.0ms	(* (log (sqrt t)) z)
11.0ms	(* z (log (sqrt t)))

series496.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
97.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
168.0ms	(* (log (sqrt t)) z)
137.0ms	(* z (log (sqrt t)))

simplify1.5s

Counts

112 → 112

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	182	1591
1	462	1473
2	2094	1323
done	5001	1305

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (* 2 (log (cbrt (sqrt t)))))
0.3b	(* z (log (cbrt (sqrt t))))
0.5b	(cbrt (sqrt t))
0.5b	(cbrt (sqrt t))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

54×	`log-prod`
48×	`cbrt-prod`
45×	`distribute-rgt-in` `distribute-lft-in`
31×	`add-sqr-sqrt`
29×	`add-cube-cbrt` `*-un-lft-identity`
24×	`sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
6×	`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 → 120

Calls

4 calls:

30.0ms	(* z (* 2 (log (cbrt (sqrt t)))))
11.0ms	(* z (log (cbrt (sqrt t))))
2.0ms	(cbrt (sqrt t))
2.0ms	(cbrt (sqrt t))

series766.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* z (* 2 (log (cbrt (sqrt t)))))
163.0ms	(* z (log (cbrt (sqrt t))))
196.0ms	(cbrt (sqrt t))
236.0ms	(cbrt (sqrt t))

simplify1.2s

Counts

132 → 132

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	206	1619
1	518	1503
2	1618	1352
done	5001	1312

prune809.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z 1/3)
0.3b	(* z (* 2 (log (cbrt (sqrt t)))))
0.4b	(* (* z 1/3) (log (sqrt t)))
0.5b	(cbrt (sqrt t))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
42×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
28×	`add-sqr-sqrt`
26×	`add-cube-cbrt` `*-un-lft-identity`
21×	`sqrt-prod`
18×	`pow1`
16×	`add-exp-log` `add-cbrt-cube`
10×	`associate-r`
7×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`log-pow` `*-commutative`
1×	`sqrt-pow1` `pow1/2` `pow1/3` `unswap-sqr`

Counts

4 → 119

Calls

4 calls:

11.0ms	(* z 1/3)
25.0ms	(* z (* 2 (log (cbrt (sqrt t)))))
53.0ms	(* (* z 1/3) (log (sqrt t)))
3.0ms	(cbrt (sqrt t))

series613.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* z 1/3)
176.0ms	(* z (* 2 (log (cbrt (sqrt t)))))
138.0ms	(* (* z 1/3) (log (sqrt t)))
277.0ms	(cbrt (sqrt t))

simplify1.8s

Counts

131 → 131

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	249	1609
1	669	1477
2	2868	1318
done	5000	1299

prune827.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes1.5s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	34
1	35	34
done	35	34

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.4s	9207×	body	80	valid
931.0ms	9198×	body	80	nan
1.0ms	5×	body	320	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid