Details

sample396.0ms

Algorithm

intervals

Results

270.0ms	1773×	body	80	nan
37.0ms	256×	body	80	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
6	1574
5	899
4	374
3	147
2	59
1	27
0	15

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 3 expressions with local error:

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))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

19×	`log-prod` `*-un-lft-identity`
15×	`add-sqr-sqrt`
11×	`add-cube-cbrt`
10×	`pow1` `add-log-exp`
9×	`associate-+r+`
7×	`associate-+l+`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/`
5×	`sum-log` `flip3--` `add-cbrt-cube` `associate-l` `add-exp-log` `log-pow` `flip--` `distribute-lft-out`
4×	`associate-r` `frac-add`
3×	`flip3-+` `associate-+l-` `flip-+` `insert-posit16`
2×	`+-commutative` `log-div` `diff-log`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 83

Calls

3 calls:

118.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
16.0ms	(* (- a 0.5) (log t))
8.0ms	(+ (log (+ x y)) (log z))

series365.0ms

Counts

3 → 9

Calls

3 calls:

212.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
63.0ms	(* (- a 0.5) (log t))
89.0ms	(+ (log (+ x y)) (log z))

simplify444.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	2001
1	609
0	229

prune622.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.5b	(+ (log (+ y x)) (+ (log (cbrt z)) (log (cbrt z))))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
19×	`distribute-lft-out`
17×	`pow1`
13×	`log-pow`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-+l+` `log-prod` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`sum-log` `pow1/3`
2×	`log-div` `flip3-+` `associate-+l-` `flip-+`
1×	`+-commutative` `associate-+r+`

Counts

4 → 66

Calls

4 calls:

20.0ms	(+ (log (+ y x)) (+ (log (cbrt z)) (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series921.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(+ (log (+ y x)) (+ (log (cbrt z)) (log (cbrt z))))
277.0ms	(cbrt z)
242.0ms	(cbrt z)
221.0ms	(cbrt z)

simplify519.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	2000
2	602
1	218
0	87

prune545.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (+ (log (+ y x)) (+ (- (log z) t) (* (+ (log (cbrt t)) (log (cbrt t))) (- a 0.5)))) (* (log (cbrt t)) (- a 0.5)))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite395.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
9×	`cbrt-prod` `sum-log`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-+l-`
4×	`pow1` `associate-+r+` `flip3-+` `add-cbrt-cube` `frac-add` `associate-*r/` `add-exp-log` `flip-+` `insert-posit16`
3×	`pow1/3`
2×	`distribute-rgt-in` `log-div` `sub-neg` `distribute-lft-in` `flip3--` `flip--`
1×	`+-commutative` `associate-+l+` `associate-+r-` `diff-log`

Counts

4 → 63

Calls

4 calls:

392.0ms	(+ (+ (log (+ y x)) (+ (- (log z) t) (* (+ (log (cbrt t)) (log (cbrt t))) (- a 0.5)))) (* (log (cbrt t)) (- a 0.5)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.3s

Counts

4 → 12

Calls

4 calls:

480.0ms	(+ (+ (log (+ y x)) (+ (- (log z) t) (* (+ (log (cbrt t)) (log (cbrt t))) (- a 0.5)))) (* (log (cbrt t)) (- a 0.5)))
237.0ms	(cbrt t)
260.0ms	(cbrt t)
284.0ms	(cbrt t)

simplify905.0ms

Counts

75 → 75

Iterations

Iter	Nodes
done	2000
2	1961
1	518
0	171

prune585.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (+ (log (+ y x)) (+ (- (log z) t) (* (+ (log (cbrt t)) (log (cbrt t))) (- a 0.5)))) (* (log (pow (/ 1 t) -1/3)) (- a 0.5)))
0.6b	(cbrt t)
0.6b	(cbrt t)
5.2b	(pow (/ 1 t) -1/3)

rewrite302.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
13×	`unpow-prod-down`
9×	`sum-log` `times-frac` `add-exp-log`
6×	`cbrt-prod` `pow1` `associate-+l-`
4×	`associate-+r+` `flip3-+` `add-cbrt-cube` `frac-add` `pow-exp` `associate-*r/` `flip-+` `insert-posit16`
3×	`pow-unpow` `pow-pow`
2×	`distribute-rgt-in` `log-div` `sub-neg` `distribute-lft-in` `flip3--` `pow1/3` `div-exp` `flip--`
1×	`pow-to-exp` `+-commutative` `rec-exp` `associate-+l+` `associate-+r-` `diff-log` `1-exp` `div-inv` `pow-flip` `inv-pow` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

295.0ms	(+ (+ (log (+ y x)) (+ (- (log z) t) (* (+ (log (cbrt t)) (log (cbrt t))) (- a 0.5)))) (* (log (pow (/ 1 t) -1/3)) (- a 0.5)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
4.0ms	(pow (/ 1 t) -1/3)

series1.4s

Counts

4 → 12

Calls

4 calls:

731.0ms	(+ (+ (log (+ y x)) (+ (- (log z) t) (* (+ (log (cbrt t)) (log (cbrt t))) (- a 0.5)))) (* (log (pow (/ 1 t) -1/3)) (- a 0.5)))
255.0ms	(cbrt t)
201.0ms	(cbrt t)
211.0ms	(pow (/ 1 t) -1/3)

simplify650.0ms

Counts

96 → 96

Iterations

Iter	Nodes
done	2001
1	763
0	255

prune775.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes1.8s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	23
1	23
0	18

end0.0ms

sample11.3s

Algorithm

intervals

Results

7.4s	55104×	body	80	nan
1.1s	8028×	body	80	valid