Details

sample102.0ms

Algorithm

intervals

Results

33.0ms	296×	body	80	valid
19.0ms	297×	body	80	nan

simplify9.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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

rewrite917.0ms

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:

674.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
25.0ms	(* (- a 0.5) b)
206.0ms	(- (+ (+ x y) z) (* z (log t)))
9.0ms	(* z (log t))

series367.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
50.0ms	(* (- a 0.5) b)
53.0ms	(- (+ (+ x y) z) (* z (log t)))
49.0ms	(* z (log t))

simplify1.7s

Counts

102 → 102

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	204	1549
1	531	1433
2	2168	1351
done	5000	1342

prune427.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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 (log t))
0.3b	(- z (* z (log t)))

rewrite271.0ms

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:

209.0ms	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
31.0ms	(* (- a 0.5) b)
15.0ms	(* z (log t))
11.0ms	(- z (* z (log t)))

series356.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(+ (+ (+ x y) (- z (* z (log t)))) (* (- a 0.5) b))
47.0ms	(* (- a 0.5) b)
59.0ms	(* z (log t))
70.0ms	(- z (* z (log t)))

simplify2.1s

Counts

106 → 106

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	273	2290
1	868	2073
2	3929	1992
done	5000	1971

prune430.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

7.0ms	(- 1 (log t))
122.0ms	(+ (+ (+ x y) (* z (- 1 (log t)))) (* (- a 0.5) b))
27.0ms	(* (- a 0.5) b)
30.0ms	(* z (- 1 (log t)))

series470.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(- 1 (log t))
188.0ms	(+ (+ (+ x y) (* z (- 1 (log t)))) (* (- a 0.5) b))
42.0ms	(* (- a 0.5) b)
49.0ms	(* z (- 1 (log t)))

simplify1.8s

Counts

107 → 107

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	259	2145
1	852	1912
2	3686	1838
done	5002	1834

prune473.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (log (cbrt t)))
0.2b	(* (* 2 (log (cbrt t))) z)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

22.0ms	(* z (log (cbrt t)))
29.0ms	(* (* 2 (log (cbrt t))) z)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series813.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* z (log (cbrt t)))
171.0ms	(* (* 2 (log (cbrt t))) z)
265.0ms	(cbrt t)
265.0ms	(cbrt t)

simplify2.5s

Counts

84 → 84

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	110	670
1	220	632
2	669	534
3	2700	518
done	5001	518

prune429.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes345.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	15	16
1	20	16
done	20	16

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.2s	9153×	body	80	valid
691.0ms	9130×	body	80	nan
0.0ms	1×	body	160	valid