Details

sample348.0ms

Algorithm

intervals

Results

156.0ms	1846×	body	80	nan
47.0ms	258×	body	80	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1502
4	434
3	150
2	59
1	27
0	15

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

8.0ms	(- t (log z))
31.0ms	(* (- a 0.5) (log t))
54.0ms	(- (log (+ y x)) (- (- t (log z)) (* (- a 0.5) (log t))))
50.0ms	(- (- t (log z)) (* (- a 0.5) (log t)))

series426.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- t (log z))
64.0ms	(* (- a 0.5) (log t))
228.0ms	(- (log (+ y x)) (- (- t (log z)) (* (- a 0.5) (log t))))
104.0ms	(- (- t (log z)) (* (- a 0.5) (log t)))

simplify1.2s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	2597
1	647
0	246

prune876.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log (+ y x)) t)
0.1b	(* (- a 0.5) (log t))
0.1b	(- (- (log (+ y x)) t) (- (- (log z)) (* (- a 0.5) (log t))))
0.3b	(- (- (log z)) (* (- a 0.5) (log t)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
26×	`log-prod`
22×	`add-sqr-sqrt` `add-log-exp`
20×	`associate--l+`
16×	`diff-log`
14×	`add-cube-cbrt`
11×	`associate--r+`
9×	`pow1`
8×	`flip3--` `flip--` `distribute-lft-out--`
6×	`distribute-rgt-in` `distribute-neg-in` `distribute-lft-in` `add-cbrt-cube` `add-exp-log`
5×	`sub-neg` `associate-l`
4×	`associate--l-` `associate-r` `frac-sub`
3×	`neg-log` `log-pow` `difference-of-squares`
2×	`log-div` `associate-*l/` `distribute-lft-out`
1×	`neg-sub0` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `associate--r-` `unswap-sqr`

Counts

4 → 111

Calls

4 calls:

16.0ms	(- (log (+ y x)) t)
19.0ms	(* (- a 0.5) (log t))
83.0ms	(- (- (log (+ y x)) t) (- (- (log z)) (* (- a 0.5) (log t))))
15.0ms	(- (- (log z)) (* (- a 0.5) (log t)))

series546.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(- (log (+ y x)) t)
73.0ms	(* (- a 0.5) (log t))
199.0ms	(- (- (log (+ y x)) t) (- (- (log z)) (* (- a 0.5) (log t))))
143.0ms	(- (- (log z)) (* (- a 0.5) (log t)))

simplify985.0ms

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
2	2714
1	672
0	255

prune771.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (- (log z)) (* (- a 0.5) (* 2 (log (cbrt t)))))
0.3b	(- (- (- (log z)) (* (- a 0.5) (* 2 (log (cbrt t))))) (* (log (cbrt t)) (- a 0.5)))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

30×	`log-prod`
28×	`associate--r+`
26×	`distribute-rgt-in` `distribute-lft-in`
18×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
14×	`add-log-exp`
11×	`associate--l+`
7×	`diff-log`
6×	`distribute-neg-in` `flip3--` `flip--`
5×	`sub-neg`
4×	`pow1` `add-cbrt-cube` `associate-*r/` `add-exp-log` `frac-sub`
2×	`associate--l-` `pow1/3` `neg-log`
1×	`neg-sub0`

Counts

4 → 91

Calls

4 calls:

37.0ms	(- (- (log z)) (* (- a 0.5) (* 2 (log (cbrt t)))))
100.0ms	(- (- (- (log z)) (* (- a 0.5) (* 2 (log (cbrt t))))) (* (log (cbrt t)) (- a 0.5)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.3s

Counts

4 → 12

Calls

4 calls:

366.0ms	(- (- (log z)) (* (- a 0.5) (* 2 (log (cbrt t)))))
389.0ms	(- (- (- (log z)) (* (- a 0.5) (* 2 (log (cbrt t))))) (* (log (cbrt t)) (- a 0.5)))
299.0ms	(cbrt t)
216.0ms	(cbrt t)

simplify941.0ms

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	2610
1	646
0	230

prune949.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (- (log z)) (* (- a 0.5) (* 2 (log (cbrt t)))))
0.3b	(- (- (- (log z)) (* (- a 0.5) (* 2 (log (cbrt t))))) (* (log (pow t 1/3)) (- a 0.5)))
0.6b	(cbrt t)
5.0b	(pow t 1/3)

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

30×	`log-prod`
28×	`associate--r+`
26×	`distribute-rgt-in` `distribute-lft-in`
17×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
15×	`cbrt-prod`
14×	`add-log-exp`
11×	`associate--l+`
7×	`diff-log`
6×	`distribute-neg-in` `flip3--` `flip--`
5×	`pow1` `sub-neg` `add-exp-log`
4×	`add-cbrt-cube` `associate-*r/` `frac-sub`
3×	`pow-unpow` `unpow-prod-down`
2×	`associate--l-` `neg-log`
1×	`neg-sub0` `pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-exp` `sqr-pow`

Counts

4 → 98

Calls

4 calls:

26.0ms	(- (- (log z)) (* (- a 0.5) (* 2 (log (cbrt t)))))
77.0ms	(- (- (- (log z)) (* (- a 0.5) (* 2 (log (cbrt t))))) (* (log (pow t 1/3)) (- a 0.5)))
1.0ms	(cbrt t)
2.0ms	(pow t 1/3)

series1.4s

Counts

4 → 12

Calls

4 calls:

356.0ms	(- (- (log z)) (* (- a 0.5) (* 2 (log (cbrt t)))))
481.0ms	(- (- (- (log z)) (* (- a 0.5) (* 2 (log (cbrt t))))) (* (log (pow t 1/3)) (- a 0.5)))
259.0ms	(cbrt t)
259.0ms	(pow t 1/3)

simplify1.0s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	2904
1	746
0	264

prune1.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes909.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	16

end0.0ms

sample12.4s

Algorithm

intervals

Results

6.7s	55612×	body	80	nan
1.2s	8043×	body	80	valid