Details

sample56.0ms

Algorithm

intervals

Results

12.0ms	304×	body	80	valid
10.0ms	293×	body	80	nan

simplify48.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	8
1	85	8
2	273	8
3	800	8
4	2123	8
5	5001	8
done	5001	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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))

rewrite663.0ms

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:

498.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
152.0ms	(- (+ (+ x y) z) (* z (log t)))
8.0ms	(* z (log t))

series293.0ms

Counts

3 → 9

Calls

3 calls:

174.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
61.0ms	(- (+ (+ x y) z) (* z (log t)))
57.0ms	(* z (log t))

simplify63.0ms

Counts

77 → 77

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	491	684
1	2317	641
2	5001	636
done	5001	636

prune233.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-log-exp`
24×	`frac-add`
15×	`*-un-lft-identity` `sum-log`
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+`
4×	`diff-log` `associate-r`
3×	`associate-+l+` `associate-l` `distribute-lft-out`
2×	`+-commutative` `associate-+l-` `sub-neg`
1×	`associate-+r-` `associate-+r+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

71.0ms	(+ (+ x y) (+ (- z (* z (log t))) (* (- a 0.5) b)))
23.0ms	(+ (- z (* z (log t))) (* (- a 0.5) b))
6.0ms	(- z (* z (log t)))
8.0ms	(* z (log t))

series295.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(+ (+ x y) (+ (- z (* z (log t))) (* (- a 0.5) b)))
74.0ms	(+ (- z (* z (log t))) (* (- a 0.5) b))
44.0ms	(- z (* z (log t)))
40.0ms	(* z (log t))

simplify100.0ms

Counts

107 → 107

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	790	1384
1	3984	1340
2	5001	1338
done	5001	1338

prune352.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1 (log t))
0.0b	(+ (+ x y) (+ (* (- 1 (log t)) z) (* (- a 0.5) b)))
0.0b	(+ (* (- 1 (log t)) z) (* (- a 0.5) b))
0.2b	(* (- 1 (log t)) z)

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-*l/`
24×	`frac-add`
20×	`*-un-lft-identity`
19×	`add-log-exp`
15×	`add-sqr-sqrt`
14×	`flip3--` `flip--`
10×	`flip3-+` `flip-+`
9×	`sum-log`
8×	`pow1`
7×	`add-cube-cbrt` `associate-l`
6×	`add-exp-log` `add-cbrt-cube`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`log-prod` `associate-r` `distribute-lft-out` `associate--r+`
2×	`+-commutative` `log-pow`
1×	`sub-neg` `associate-+l+` `associate-+r+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

7.0ms	(- 1 (log t))
57.0ms	(+ (+ x y) (+ (* (- 1 (log t)) z) (* (- a 0.5) b)))
19.0ms	(+ (* (- 1 (log t)) z) (* (- a 0.5) b))
28.0ms	(* (- 1 (log t)) z)

series442.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(- 1 (log t))
160.0ms	(+ (+ x y) (+ (* (- 1 (log t)) z) (* (- a 0.5) b)))
91.0ms	(+ (* (- 1 (log t)) z) (* (- a 0.5) b))
66.0ms	(* (- 1 (log t)) z)

simplify97.0ms

Counts

100 → 100

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	762	1235
1	4047	1198
2	5002	1197
done	5002	1197

prune353.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (- 1 (pow (log t) 3)) (+ (* (log t) (+ (log t) 1)) 1)) z)
0.3b	(/ (- 1 (pow (log t) 3)) (+ (* (log t) (+ (log t) 1)) 1))
0.6b	(* (log t) (+ (log t) 1))
0.7b	(pow (log t) 3)

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

120×	`add-sqr-sqrt`
88×	`*-un-lft-identity`
73×	`times-frac`
56×	`difference-of-squares`
46×	`associate-l`
43×	`add-cube-cbrt`
18×	`unpow-prod-down` `cube-prod`
15×	`sqr-pow`
14×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
12×	`associate-/l*`
8×	`associate-r`
7×	`distribute-lft-out--`
4×	`associate-/r/` `log-pow` `add-log-exp`
3×	`pow-unpow` `flip3-+` `prod-exp` `associate-/r*` `cbrt-unprod` `flip-+` `unswap-sqr`
2×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `associate-/l/` `distribute-lft-out`
1×	`distribute-rgt-in` `cube-mult` `pow-to-exp` `flip3--` `pow-pow` `frac-2neg` `distribute-lft-in` `unpow3` `div-sub` `associate-*l/` `pow-exp` `clear-num` `flip--` `rem-cube-cbrt`

Counts

4 → 179

Calls

4 calls:

107.0ms	(* (/ (- 1 (pow (log t) 3)) (+ (* (log t) (+ (log t) 1)) 1)) z)
60.0ms	(/ (- 1 (pow (log t) 3)) (+ (* (log t) (+ (log t) 1)) 1))
27.0ms	(* (log t) (+ (log t) 1))
3.0ms	(pow (log t) 3)

series1.5s

Counts

4 → 12

Calls

4 calls:

461.0ms	(* (/ (- 1 (pow (log t) 3)) (+ (* (log t) (+ (log t) 1)) 1)) z)
574.0ms	(/ (- 1 (pow (log t) 3)) (+ (* (log t) (+ (log t) 1)) 1))
261.0ms	(* (log t) (+ (log t) 1))
169.0ms	(pow (log t) 3)

simplify121.0ms

Counts

191 → 191

Iterations

Useful iterations: 2 (102.0ms)

Iter	Nodes	Cost
0	771	2272
1	3578	2108
2	5001	2064
done	5001	2064

prune629.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes383.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	15
1	32	15
done	32	15

end0.0ms

sample1.6s

Algorithm

intervals

Results

394.0ms	9124×	body	80	valid
327.0ms	9098×	body	80	nan
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid