Details

sample334.0ms

Algorithm

intervals

Results

177.0ms	1765×	body	80	nan
23.0ms	257×	body	80	valid

simplify1.2s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

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))

rewrite412.0ms

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:

94.0ms	(- (+ (log (+ x y)) (log z)) t)
263.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
35.0ms	(* (- a 0.5) (log t))
13.0ms	(+ (log (+ x y)) (log z))

series734.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(- (+ (log (+ x y)) (log z)) t)
314.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
82.0ms	(* (- a 0.5) (log t))
100.0ms	(+ (log (+ x y)) (log z))

simplify1.4s

Counts

114 → 114

Iterations

Useful iterations: done (1.4s)

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

prune401.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (+ (* 2 (log (cbrt z))) (log (+ x y))) (log (cbrt z)))
0.5b	(+ (* 2 (log (cbrt z))) (log (+ x y)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

22×	`log-prod`
18×	`*-un-lft-identity`
15×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `associate-+l+`
10×	`associate-+r+`
7×	`add-log-exp`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`pow1`
4×	`add-exp-log` `associate-+r-` `log-div` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`
3×	`distribute-lft-out`
2×	`+-commutative` `associate-+l-` `pow1/3`
1×	`log-pow`

Counts

4 → 74

Calls

4 calls:

55.0ms	(+ (+ (* 2 (log (cbrt z))) (log (+ x y))) (log (cbrt z)))
16.0ms	(+ (* 2 (log (cbrt z))) (log (+ x y)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

187.0ms	(+ (+ (* 2 (log (cbrt z))) (log (+ x y))) (log (cbrt z)))
178.0ms	(+ (* 2 (log (cbrt z))) (log (+ x y)))
580.0ms	(cbrt z)
234.0ms	(cbrt z)

simplify1.0s

Counts

86 → 86

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	147	1044
1	378	988
2	1729	867
done	5000	838

prune532.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

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:

30.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
13.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.1s

Counts

4 → 12

Calls

4 calls:

407.0ms	(+ (* (* 2 (log (cbrt t))) (- a 0.5)) (* (log (cbrt t)) (- a 0.5)))
102.0ms	(+ (log (+ x y)) (log z))
291.0ms	(cbrt t)
272.0ms	(cbrt t)

simplify1.0s

Counts

82 → 82

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	175	1147
1	493	1040
2	1986	858
done	5002	830

prune477.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt (cbrt t))
6.0b	(pow t 2/3)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `pow1/3`
1×	`pow-to-exp` `pow-pow` `pow-exp` `sqr-pow`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
2.0ms	(cbrt (cbrt t))
4.0ms	(pow t 2/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

271.0ms	(cbrt t)
265.0ms	(cbrt t)
357.0ms	(cbrt (cbrt t))
267.0ms	(pow t 2/3)

simplify2.1s

Counts

65 → 65

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	75	356
1	171	315
2	603	288
3	2524	274
done	5002	270

prune453.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes618.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	33
1	34	33
done	34	33

end0.0ms

sample11.9s

Algorithm

intervals

Results

7.0s	57175×	body	80	nan
979.0ms	8043×	body	80	valid