Details

sample439.0ms

Algorithm

intervals

Results

211.0ms	1767×	body	80	nan
51.0ms	258×	body	80	valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	27	16
2	59	16
3	149	16
4	442	16
5	1543	16
done	5000	16

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize23.0ms

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)))
0.1b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite410.0ms

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:

103.0ms	(- (+ (log (+ x y)) (log z)) t)
233.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
52.0ms	(* (- a 0.5) (log t))
14.0ms	(+ (log (+ x y)) (log z))

series1.1s

Counts

4 → 12

Calls

4 calls:

245.0ms	(- (+ (log (+ x y)) (log z)) t)
699.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
70.0ms	(* (- a 0.5) (log t))
107.0ms	(+ (log (+ x y)) (log z))

simplify1.6s

Counts

114 → 114

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	239	1824
1	632	1724
2	2656	1621
done	5001	1615

prune804.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
0.5b	(cbrt t)
0.5b	(cbrt t)
0.6b	(+ (log (+ x y)) (log z))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

41.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
25.0ms	(+ (log (+ x y)) (log z))

series1.2s

Counts

4 → 12

Calls

4 calls:

467.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
284.0ms	(cbrt t)
291.0ms	(cbrt t)
123.0ms	(+ (log (+ x y)) (log z))

simplify1.1s

Counts

82 → 82

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	175	1147
1	493	1040
2	1985	858
done	5002	830

prune801.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (cbrt t)) (- (* 3 a) 1.5)))
0.3b	(* (log (cbrt t)) (- (* 3 a) 1.5))
0.5b	(cbrt t)
0.6b	(+ (log (+ x y)) (log z))

rewrite418.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

317.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (cbrt t)) (- (* 3 a) 1.5)))
59.0ms	(* (log (cbrt t)) (- (* 3 a) 1.5))
2.0ms	(cbrt t)
35.0ms	(+ (log (+ x y)) (log z))

series1.1s

Counts

4 → 12

Calls

4 calls:

536.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (cbrt t)) (- (* 3 a) 1.5)))
238.0ms	(* (log (cbrt t)) (- (* 3 a) 1.5))
281.0ms	(cbrt t)
94.0ms	(+ (log (+ x y)) (log z))

simplify1.8s

Counts

98 → 98

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	227	1720
1	620	1609
2	2838	1498
done	5000	1495

prune682.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (* 2 (log (pow t 1/3))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
0.5b	(cbrt t)
0.6b	(+ (log (+ x y)) (log z))
5.1b	(pow t 1/3)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
8×	`associate-+l+` `associate-*r/`
7×	`associate-+r+` `log-prod`
6×	`add-log-exp`
5×	`add-exp-log` `distribute-lft-out`
4×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `frac-add` `log-pow` `add-cbrt-cube` `flip--`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `sum-log`
1×	`pow-to-exp` `distribute-rgt-out` `pow-pow` `unpow1/3` `pow1/3` `pow-exp` `sqr-pow`

Counts

4 → 77

Calls

4 calls:

55.0ms	(+ (* (* 2 (log (pow t 1/3))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
2.0ms	(cbrt t)
26.0ms	(+ (log (+ x y)) (log z))
5.0ms	(pow t 1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

557.0ms	(+ (* (* 2 (log (pow t 1/3))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
229.0ms	(cbrt t)
88.0ms	(+ (log (+ x y)) (log z))
314.0ms	(pow t 1/3)

simplify1.1s

Counts

89 → 89

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	212	1257
1	599	1093
2	2270	924
done	5002	914

prune753.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes978.0ms

Accuracy

0% (0.3b 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	18	19
1	23	19
done	23	19

end0.0ms

sample12.2s

Algorithm

intervals

Results

6.7s	56305×	body	80	nan
1.2s	8040×	body	80	valid