Details

sample451.0ms

Algorithm

intervals

Results

246.0ms	1942×	body	80	nan
28.0ms	257×	body	80	valid

simplify7.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	59	16
3	147	16
4	326	16
5	681	16
6	1213	16
7	1750	16
8	2073	16
9	2076	16
done	2076	16

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.2b	(* (- a 0.5) (log t))
0.5b	(+ (log (+ x y)) (log z))

rewrite493.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

96.0ms	(- (+ (log (+ x y)) (log z)) t)
308.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
45.0ms	(* (- a 0.5) (log t))
36.0ms	(+ (log (+ x y)) (log z))

series745.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(- (+ (log (+ x y)) (log z)) t)
283.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
83.0ms	(* (- a 0.5) (log t))
134.0ms	(+ (log (+ x y)) (log z))

simplify1.2s

Counts

114 → 114

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	239	1824
1	617	1724
2	2130	1617
done	5002	1584

prune654.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.1b	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
0.1b	(+ (- (log z) t) (* (- a 0.5) (log t)))
0.2b	(* (- a 0.5) (log t))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

8.0ms	(- (log z) t)
116.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
68.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
35.0ms	(* (- a 0.5) (log t))

series599.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(- (log z) t)
286.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
120.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
78.0ms	(* (- a 0.5) (log t))

simplify1.4s

Counts

110 → 110

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	239	1697
1	643	1595
2	2177	1497
done	5000	1479

prune639.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (- a 0.5) (log (cbrt t))))
0.5b	(+ (log (+ x y)) (log z))
0.5b	(cbrt t)
0.5b	(cbrt t)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

52.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (- a 0.5) (log (cbrt t))))
20.0ms	(+ (log (+ x y)) (log z))
2.0ms	(cbrt t)
2.0ms	(cbrt t)

series1.6s

Counts

4 → 12

Calls

4 calls:

475.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (- a 0.5) (log (cbrt t))))
132.0ms	(+ (log (+ x y)) (log z))
717.0ms	(cbrt t)
275.0ms	(cbrt t)

simplify1.1s

Counts

89 → 89

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	199	1302
1	527	1201
2	1700	990
done	5002	984

prune664.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (* (cbrt (- t)) (cbrt -1))) (- (* 3 a) 1.5)))
0.3b	(* (log (* (cbrt (- t)) (cbrt -1))) (- (* 3 a) 1.5))
0.5b	(+ (log (+ x y)) (log z))
0.5b	(cbrt (- t))

rewrite447.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

331.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (* (cbrt (- t)) (cbrt -1))) (- (* 3 a) 1.5)))
82.0ms	(* (log (* (cbrt (- t)) (cbrt -1))) (- (* 3 a) 1.5))
24.0ms	(+ (log (+ x y)) (log z))
3.0ms	(cbrt (- t))

series1.8s

Counts

4 → 12

Calls

4 calls:

970.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (* (cbrt (- t)) (cbrt -1))) (- (* 3 a) 1.5)))
403.0ms	(* (log (* (cbrt (- t)) (cbrt -1))) (- (* 3 a) 1.5))
120.0ms	(+ (log (+ x y)) (log z))
331.0ms	(cbrt (- t))

simplify1.4s

Counts

106 → 106

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	242	2097
1	624	1968
2	2355	1819
done	5000	1816

prune707.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes671.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	19	16
done	19	16

end0.0ms

sample13.0s

Algorithm

intervals

Results

7.9s	56457×	body	80	nan
910.0ms	8035×	body	80	valid