Details

sample48.0ms

Algorithm

intervals

Results

13.0ms	294×	body	80	valid
10.0ms	291×	body	80	nan

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	30	16
2	83	16
3	225	16
4	627	16
5	1700	16
6	3487	16
done	5000	16

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

11.0ms	(* (- a 0.5) b)
86.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series100.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(* (- a 0.5) b)
37.0ms	(- (+ (+ x y) z) (* z (log t)))
36.0ms	(* z (log t))

simplify548.0ms

Counts

77 → 77

Iterations

Useful iterations: done (546.0ms)

Iter	Nodes	Cost
0	154	745
1	346	704
2	1391	636
done	5000	629

prune219.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

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)))

rewrite468.0ms

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:

86.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
368.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
5.0ms	(* (log (sqrt t)) z)
6.0ms	(* z (log (sqrt t)))

series300.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
58.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
113.0ms	(* (log (sqrt t)) z)
84.0ms	(* z (log (sqrt t)))

simplify718.0ms

Counts

112 → 112

Iterations

Useful iterations: 2 (139.0ms)

Iter	Nodes	Cost
0	182	1591
1	414	1465
2	1734	1254
done	5000	1254

prune353.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
14×	`pow1`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
9×	`log-prod`
8×	`log-pow` `distribute-lft-out`
7×	`associate-r`
6×	`add-exp-log` `cbrt-prod` `associate-+l+` `add-cbrt-cube`
4×	`add-log-exp`
3×	`associate-+r+` `associate-l` `sqrt-prod`
2×	`flip3-+` `pow1/3` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

6.0ms	(+ (log (sqrt t)) (log (fabs (cbrt t))))
21.0ms	(* z (+ (log (sqrt t)) (log (fabs (cbrt t)))))
0.0ms	(cbrt t)
1.0ms	(cbrt t)

series548.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ (log (sqrt t)) (log (fabs (cbrt t))))
118.0ms	(* z (+ (log (sqrt t)) (log (fabs (cbrt t)))))
180.0ms	(cbrt t)
170.0ms	(cbrt t)

simplify2.5s

Counts

84 → 84

Iterations

Useful iterations: 3 (461.0ms)

Iter	Nodes	Cost
0	137	888
1	344	845
2	1140	746
3	4627	736
done	5000	736

prune416.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt (pow t 2/3))
0.6b	(cbrt (cbrt t))
6.0b	(pow t 2/3)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 57

Calls

4 calls:

0.0ms	(cbrt t)
1.0ms	(cbrt (pow t 2/3))
1.0ms	(cbrt (cbrt t))
1.0ms	(pow t 2/3)

series778.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt t)
186.0ms	(cbrt (pow t 2/3))
243.0ms	(cbrt (cbrt t))
174.0ms	(pow t 2/3)

simplify992.0ms

Counts

69 → 69

Iterations

Useful iterations: 3 (411.0ms)

Iter	Nodes	Cost
0	93	428
1	174	398
2	429	347
3	1417	333
done	5000	333

prune411.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes294.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	35
1	37	35
done	37	35

end0.0ms

sample1.3s

Algorithm

intervals

Results

400.0ms	9149×	body	80	valid
336.0ms	8989×	body	80	nan
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid