Details

sample350.0ms

Algorithm

intervals

Results

180.0ms	1926×	body	80	nan
52.0ms	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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(* (- a 0.5) (log t))
0.2b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.6b	(+ (log (+ x y)) (log z))

rewrite292.0ms

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-+`
2×	`associate--l-` `+-commutative` `sub-neg` `associate--l+` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

43.0ms	(- (+ (log (+ x y)) (log z)) t)
18.0ms	(* (- a 0.5) (log t))
214.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
15.0ms	(+ (log (+ x y)) (log z))

series677.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(- (+ (log (+ x y)) (log z)) t)
89.0ms	(* (- a 0.5) (log t))
314.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
93.0ms	(+ (log (+ x y)) (log z))

simplify1.6s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	2648
1	638
0	240

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

10.0ms	(- (log z) t)
22.0ms	(* (- a 0.5) (log t))
48.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
95.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

series608.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(- (log z) t)
87.0ms	(* (- a 0.5) (log t))
140.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
288.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))

simplify1.7s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	2732
1	665
0	242

prune909.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

9.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

332.0ms	(* (cbrt z) (cbrt z))
335.0ms	(cbrt z)
253.0ms	(cbrt z)
242.0ms	(cbrt z)

simplify1.8s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune758.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite520.0ms

Algorithm

rewrite-expression-head

Rules

40×	`log-prod`
30×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
24×	`associate-*l/`
21×	`add-cube-cbrt` `add-log-exp`
20×	`frac-add`
18×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod`
16×	`flip3--` `flip--`
14×	`sum-log`
13×	`pow1` `associate-+r+`
12×	`associate-r`
10×	`associate-l`
8×	`add-cbrt-cube` `add-exp-log`
7×	`log-pow`
6×	`associate-+l-`
5×	`associate-+l+` `flip3-+` `flip-+`
3×	`distribute-lft-out`
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-+r-`

Counts

4 → 137

Calls

4 calls:

124.0ms	(+ (+ (- (log z) t) (* (- a 0.5) (log (sqrt t)))) (* (- a 0.5) (log (sqrt t))))
41.0ms	(* (- a 0.5) (log (sqrt t)))
28.0ms	(* (- a 0.5) (log (sqrt t)))
322.0ms	(+ (log (+ x y)) (+ (+ (- (log z) t) (* (- a 0.5) (log (sqrt t)))) (* (- a 0.5) (log (sqrt t)))))

series875.0ms

Counts

4 → 12

Calls

4 calls:

286.0ms	(+ (+ (- (log z) t) (* (- a 0.5) (log (sqrt t)))) (* (- a 0.5) (log (sqrt t))))
82.0ms	(* (- a 0.5) (log (sqrt t)))
77.0ms	(* (- a 0.5) (log (sqrt t)))
430.0ms	(+ (log (+ x y)) (+ (+ (- (log z) t) (* (- a 0.5) (log (sqrt t)))) (* (- a 0.5) (log (sqrt t)))))

simplify2.8s

Counts

149 → 149

Iterations

Iter	Nodes
done	5001
2	4665
1	981
0	290

prune1.2s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes2.2s

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	24
1	24
0	19

end0.0ms

sample12.3s

Algorithm

intervals

Results

7.6s	56608×	body	80	nan
1.5s	8027×	body	80	valid