Details

sample97.0ms

Algorithm

intervals

Results

36.0ms	297×	body	80	valid
17.0ms	261×	body	80	nan

simplify2.8s

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

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x y) z)
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))

rewrite994.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

39.0ms	(+ (+ x y) z)
728.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
202.0ms	(- (+ (+ x y) z) (* z (log t)))
23.0ms	(* z (log t))

series324.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(+ (+ x y) z)
189.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
56.0ms	(- (+ (+ x y) z) (* z (log t)))
43.0ms	(* z (log t))

simplify1.3s

Counts

95 → 95

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	190	1503
1	564	1390
2	2427	1326
done	5000	1317

prune459.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

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)))

rewrite1.4s

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:

257.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
1.1s	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
32.0ms	(* (log (sqrt t)) z)
23.0ms	(* z (log (sqrt t)))

series456.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
75.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
159.0ms	(* (log (sqrt t)) z)
146.0ms	(* z (log (sqrt t)))

simplify1.4s

Counts

112 → 112

Iterations

Useful iterations: done (1.4s)

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

prune513.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

54×	`log-prod`
48×	`cbrt-prod`
45×	`distribute-rgt-in` `distribute-lft-in`
36×	`associate-+l+`
30×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity`
24×	`sqrt-prod`
18×	`associate-+r+`
8×	`pow1`
6×	`add-exp-log` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `log-pow`
2×	`pow1/3`
1×	`+-commutative` `sqrt-pow1` `flip3-+` `pow1/2` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 115

Calls

4 calls:

10.0ms	(* (log (sqrt t)) z)
32.0ms	(+ (* z (* 2 (log (cbrt (sqrt t))))) (* z (log (cbrt (sqrt t)))))
2.0ms	(cbrt (sqrt t))
2.0ms	(cbrt (sqrt t))

series796.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (log (sqrt t)) z)
231.0ms	(+ (* z (* 2 (log (cbrt (sqrt t))))) (* z (log (cbrt (sqrt t)))))
207.0ms	(cbrt (sqrt t))
182.0ms	(cbrt (sqrt t))

simplify1.3s

Counts

127 → 127

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	214	1668
1	515	1351
2	1770	1248
done	5001	1224

prune934.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sqrt t))
0.6b	(cbrt (sqrt t))
0.6b	(cbrt (* (cbrt (sqrt t)) (cbrt (sqrt t))))
0.6b	(cbrt (cbrt (sqrt t)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-prod`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 54

Calls

4 calls:

2.0ms	(cbrt (sqrt t))
2.0ms	(cbrt (sqrt t))
18.0ms	(cbrt (* (cbrt (sqrt t)) (cbrt (sqrt t))))
2.0ms	(cbrt (cbrt (sqrt t)))

series938.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(cbrt (sqrt t))
235.0ms	(cbrt (sqrt t))
227.0ms	(cbrt (* (cbrt (sqrt t)) (cbrt (sqrt t))))
252.0ms	(cbrt (cbrt (sqrt t)))

simplify1.7s

Counts

66 → 66

Iterations

Useful iterations: 3 (567.0ms)

Iter	Nodes	Cost
0	77	557
1	154	526
2	427	466
3	2336	442
done	5000	442

prune692.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes579.0ms

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	31	46
1	42	46
done	42	46

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.2s	9304×	body	80	nan
988.0ms	9242×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid