Details

sample369.0ms

Algorithm

intervals

Results

231.0ms	1773×	body	80	nan
34.0ms	256×	body	80	valid

simplify1.2s

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

localize39.0ms

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))

rewrite185.0ms

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:

145.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
23.0ms	(* (- a 0.5) (log t))
16.0ms	(+ (log (+ x y)) (log z))

series429.0ms

Counts

3 → 9

Calls

3 calls:

279.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
59.0ms	(* (- a 0.5) (log t))
91.0ms	(+ (log (+ x y)) (log z))

simplify520.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	2001
1	609
0	229

prune633.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

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)

rewrite37.0ms

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:

32.0ms	(+ (log (+ y x)) (+ (log (cbrt z)) (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series945.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(+ (log (+ y x)) (+ (log (cbrt z)) (log (cbrt z))))
245.0ms	(cbrt z)
241.0ms	(cbrt z)
275.0ms	(cbrt z)

simplify562.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	2000
2	602
1	218
0	87

prune575.0ms

Pruning

8 alts after pruning (7 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)))) (* (- a 0.5) (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite421.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

415.0ms	(+ (+ (log (+ y x)) (+ (- (log z) t) (* (+ (log (cbrt t)) (log (cbrt t))) (- a 0.5)))) (* (- a 0.5) (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.4s

Counts

4 → 12

Calls

4 calls:

516.0ms	(+ (+ (log (+ y x)) (+ (- (log z) t) (* (+ (log (cbrt t)) (log (cbrt t))) (- a 0.5)))) (* (- a 0.5) (log (cbrt t))))
300.0ms	(cbrt t)
255.0ms	(cbrt t)
292.0ms	(cbrt t)

simplify821.0ms

Counts

83 → 83

Iterations

Iter	Nodes
done	2001
1	577
0	197

prune875.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize108.0ms

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)))) (* (- a 0.5) (log (pow (/ 1 t) -1/3))))
0.6b	(cbrt t)
0.6b	(cbrt t)
5.2b	(pow (/ 1 t) -1/3)

rewrite390.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

383.0ms	(+ (+ (log (+ y x)) (+ (- (log z) t) (* (+ (log (cbrt t)) (log (cbrt t))) (- a 0.5)))) (* (- a 0.5) (log (pow (/ 1 t) -1/3))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
4.0ms	(pow (/ 1 t) -1/3)

series1.9s

Counts

4 → 12

Calls

4 calls:

774.0ms	(+ (+ (log (+ y x)) (+ (- (log z) t) (* (+ (log (cbrt t)) (log (cbrt t))) (- a 0.5)))) (* (- a 0.5) (log (pow (/ 1 t) -1/3))))
274.0ms	(cbrt t)
649.0ms	(cbrt t)
241.0ms	(pow (/ 1 t) -1/3)

simplify742.0ms

Counts

126 → 126

Iterations

Iter	Nodes
done	2002
1	950
0	331

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes1.4s

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	23
1	23
0	18

end0.0ms

sample15.1s

Algorithm

intervals

Results

10.7s	55104×	body	80	nan
1.5s	8028×	body	80	valid