Details

sample54.0ms

Algorithm

intervals

Results

12.0ms	304×	body	80	valid
9.0ms	293×	body	80	nan

simplify55.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize16.0ms

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))

rewrite631.0ms

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:

473.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
147.0ms	(- (+ (+ x y) z) (* z (log t)))
8.0ms	(* z (log t))

series207.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
39.0ms	(- (+ (+ x y) z) (* z (log t)))
36.0ms	(* z (log t))

simplify61.0ms

Counts

77 → 77

Iterations

Useful iterations: 2 (55.0ms)

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

prune215.0ms

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

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

148.0ms	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
31.0ms	(+ (+ x y) (- z (* z (log t))))
6.0ms	(- z (* z (log t)))
8.0ms	(* z (log t))

series258.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
36.0ms	(+ (+ x y) (- z (* z (log t))))
46.0ms	(- z (* z (log t)))
36.0ms	(* z (log t))

simplify112.0ms

Counts

108 → 108

Iterations

Useful iterations: 2 (101.0ms)

Iter	Nodes	Cost
0	867	1328
1	4366	1285
2	5001	1283
done	5001	1283

prune348.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-*l/`
24×	`frac-add`
19×	`add-log-exp`
15×	`add-sqr-sqrt` `*-un-lft-identity`
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` `associate--r+`
2×	`+-commutative` `associate-+l+` `log-pow`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

105.0ms	(+ (+ (+ x y) (* (- 1 (log t)) z)) (* (- a 0.5) b))
7.0ms	(- 1 (log t))
30.0ms	(+ (+ x y) (* (- 1 (log t)) z))
25.0ms	(* (- 1 (log t)) z)

series414.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(+ (+ (+ x y) (* (- 1 (log t)) z)) (* (- a 0.5) b))
121.0ms	(- 1 (log t))
44.0ms	(+ (+ x y) (* (- 1 (log t)) z))
62.0ms	(* (- 1 (log t)) z)

simplify93.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	839	1175
1	4120	1138
2	5001	1137
done	5001	1137

prune359.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize20.0ms

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)

rewrite192.0ms

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:

100.0ms	(* (/ (- 1 (pow (log t) 3)) (+ (* (log t) (+ (log t) 1)) 1)) z)
59.0ms	(/ (- 1 (pow (log t) 3)) (+ (* (log t) (+ (log t) 1)) 1))
23.0ms	(* (log t) (+ (log t) 1))
3.0ms	(pow (log t) 3)

series1.5s

Counts

4 → 12

Calls

4 calls:

438.0ms	(* (/ (- 1 (pow (log t) 3)) (+ (* (log t) (+ (log t) 1)) 1)) z)
545.0ms	(/ (- 1 (pow (log t) 3)) (+ (* (log t) (+ (log t) 1)) 1))
266.0ms	(* (log t) (+ (log t) 1))
217.0ms	(pow (log t) 3)

simplify159.0ms

Counts

191 → 191

Iterations

Useful iterations: 2 (136.0ms)

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

prune577.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes361.0ms

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

sample1.5s

Algorithm

intervals

Results

384.0ms	9124×	body	80	valid
310.0ms	9098×	body	80	nan
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid