Details

sample254.0ms

Algorithm

intervals

Results

160.0ms	1685×	body	80	nan
24.0ms	256×	body	80	valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	3868
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

localize28.0ms

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))

rewrite297.0ms

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×	`distribute-rgt-in` `sum-log` `distribute-lft-in` `flip3--` `add-cbrt-cube` `associate-*l/` `add-exp-log` `flip--` `distribute-lft-out--`
5×	`associate-l` `associate-+l-`
4×	`log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+` `insert-posit16`
2×	`associate--l-` `+-commutative` `sub-neg` `associate--l+` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

56.0ms	(- (+ (log (+ x y)) (log z)) t)
199.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
25.0ms	(* (- a 0.5) (log t))
12.0ms	(+ (log (+ x y)) (log z))

series618.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(- (+ (log (+ x y)) (log z)) t)
228.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
59.0ms	(* (- a 0.5) (log t))
94.0ms	(+ (log (+ x y)) (log z))

simplify1.6s

Counts

118 → 118

Iterations

Iter	Nodes
done	5014
2	2294
1	641
0	244

prune671.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

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:

54.0ms	(+ (log (+ y x)) (+ (log (cbrt z)) (log (cbrt z))))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series940.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(+ (log (+ y x)) (+ (log (cbrt z)) (log (cbrt z))))
252.0ms	(cbrt z)
262.0ms	(cbrt z)
253.0ms	(cbrt z)

simplify1.7s

Counts

78 → 78

Iterations

Iter	Nodes
done	5002
3	2019
2	602
1	218
0	87

prune502.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite338.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

35.0ms	(* (log (sqrt t)) (- a 0.5))
26.0ms	(* (log (sqrt t)) (- a 0.5))
254.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5)))
18.0ms	(+ (log (+ x y)) (log z))

series590.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (log (sqrt t)) (- a 0.5))
93.0ms	(* (log (sqrt t)) (- a 0.5))
345.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (sqrt t)) (- a 0.5)))
85.0ms	(+ (log (+ x y)) (log z))

simplify1.9s

Counts

123 → 123

Iterations

Iter	Nodes
done	5009
2	2089
1	574
0	210

prune821.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (log (+ y x)) (- (log z) t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

37.0ms	(+ (log (+ y x)) (- (log z) t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.3s

Counts

4 → 12

Calls

4 calls:

223.0ms	(+ (log (+ y x)) (- (log z) t))
624.0ms	(cbrt t)
224.0ms	(cbrt t)
245.0ms	(cbrt t)

simplify1.8s

Counts

79 → 79

Iterations

Iter	Nodes
done	5001
3	2431
2	617
1	228
0	103

prune455.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes904.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	17

end0.0ms

sample10.1s

Algorithm

intervals

Results

6.9s	55303×	body	80	nan
1.1s	8033×	body	80	valid