Details

sample118.0ms

Algorithm

intervals

Results

41.0ms	297×	body	80	valid
24.0ms	308×	body	80	nan

simplify9.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	30	16
2	84	16
3	261	16
4	691	16
5	1728	16
6	3874	16
done	5000	16

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

30.0ms	(* (- a 0.5) b)
862.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
233.0ms	(- (+ (+ x y) z) (* z (log t)))
10.0ms	(* z (log t))

series360.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (- a 0.5) b)
209.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
52.0ms	(- (+ (+ x y) z) (* z (log t)))
61.0ms	(* z (log t))

simplify1.4s

Counts

102 → 102

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	204	1549
1	531	1433
2	2172	1351
done	5001	1342

prune494.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite359.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

292.0ms	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
48.0ms	(* (- a 0.5) b)
6.0ms	(- z (* z (log t)))
9.0ms	(* z (log t))

series353.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
42.0ms	(* (- a 0.5) b)
62.0ms	(- z (* z (log t)))
46.0ms	(* z (log t))

simplify2.7s

Counts

106 → 106

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	273	2290
1	868	2073
2	3928	1992
done	5000	1971

prune550.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ x y) (* (- 1 (log t)) z))
0.0b	(+ (+ (+ x y) (* (- 1 (log t)) z)) (* (- a 0.5) b))
0.0b	(* (- a 0.5) b)
0.3b	(* (- 1 (log t)) z)

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-*l/`
24×	`frac-add`
18×	`add-log-exp`
17×	`add-sqr-sqrt`
14×	`flip3--` `*-un-lft-identity` `flip--`
12×	`associate-l`
10×	`flip3-+` `flip-+`
9×	`pow1` `sum-log`
8×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
6×	`associate-r`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`+-commutative` `associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`log-pow`

Counts

4 → 89

Calls

4 calls:

36.0ms	(+ (+ x y) (* (- 1 (log t)) z))
145.0ms	(+ (+ (+ x y) (* (- 1 (log t)) z)) (* (- a 0.5) b))
37.0ms	(* (- a 0.5) b)
43.0ms	(* (- 1 (log t)) z)

series350.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (+ x y) (* (- 1 (log t)) z))
172.0ms	(+ (+ (+ x y) (* (- 1 (log t)) z)) (* (- a 0.5) b))
38.0ms	(* (- a 0.5) b)
81.0ms	(* (- 1 (log t)) z)

simplify2.1s

Counts

101 → 101

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	253	2431
1	849	2158
2	3767	2098
done	5000	2089

prune526.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (cbrt t)) z)
0.3b	(* (* 2 (log (cbrt t))) z)
0.5b	(cbrt t)
0.5b	(cbrt t)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1`
11×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 60

Calls

4 calls:

14.0ms	(* (log (cbrt t)) z)
31.0ms	(* (* 2 (log (cbrt t))) z)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series754.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (log (cbrt t)) z)
132.0ms	(* (* 2 (log (cbrt t))) z)
212.0ms	(cbrt t)
282.0ms	(cbrt t)

simplify2.8s

Counts

72 → 72

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	88	525
1	195	493
2	691	406
3	2791	397
done	5000	397

prune336.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes686.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	25
1	28	25
done	28	25

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.2s	9153×	body	80	valid
884.0ms	9243×	body	80	nan
1.0ms	2×	body	2560	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid