Details

sample447.0ms

Algorithm

intervals

Results

268.0ms	1738×	body	80	nan
39.0ms	257×	body	80	valid

simplify5.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3797
6	1641
5	929
4	379
3	147
2	59
1	27
0	15

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize60.0ms

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

rewrite639.0ms

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

Counts

4 → 102

Calls

4 calls:

121.0ms	(- (+ (log (+ x y)) (log z)) t)
431.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
52.0ms	(* (- a 0.5) (log t))
28.0ms	(+ (log (+ x y)) (log z))

series992.0ms

Counts

4 → 12

Calls

4 calls:

329.0ms	(- (+ (log (+ x y)) (log z)) t)
409.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
114.0ms	(* (- a 0.5) (log t))
139.0ms	(+ (log (+ x y)) (log z))

simplify3.8s

Counts

114 → 114

Iterations

Iter	Nodes
done	5003
2	2252
1	632
0	239

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize100.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

83.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
9.0ms	(cbrt (+ x y))
19.0ms	(cbrt (+ x y))
9.0ms	(cbrt (+ x y))

series1.1s

Counts

4 → 12

Calls

4 calls:

312.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
252.0ms	(cbrt (+ x y))
245.0ms	(cbrt (+ x y))
249.0ms	(cbrt (+ x y))

simplify3.1s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
3	1734
2	681
1	276
0	116

prune1.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize131.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
5.0b	(pow (+ x y) 1/3)

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
32×	`cbrt-prod`
24×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `cbrt-div`
12×	`pow1`
9×	`swap-sqr` `distribute-lft-out`
8×	`flip3-+` `pow1/3` `flip-+`
7×	`add-exp-log` `associate-r` `associate-l`
4×	`frac-times` `unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`pow-unpow`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-pow` `pow-plus` `unpow1/3` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 100

Calls

4 calls:

89.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
10.0ms	(cbrt (+ x y))
10.0ms	(cbrt (+ x y))
22.0ms	(pow (+ x y) 1/3)

series1.1s

Counts

4 → 12

Calls

4 calls:

343.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
215.0ms	(cbrt (+ x y))
232.0ms	(cbrt (+ x y))
266.0ms	(pow (+ x y) 1/3)

simplify3.4s

Counts

112 → 112

Iterations

Iter	Nodes
done	5007
3	2689
2	1112
1	405
0	145

prune1.6s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize97.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

27.0ms	(+ (log (+ x y)) (log z))
2.0ms	(cbrt t)
2.0ms	(cbrt t)
2.0ms	(cbrt t)

series1.3s

Counts

4 → 12

Calls

4 calls:

133.0ms	(+ (log (+ x y)) (log z))
383.0ms	(cbrt t)
381.0ms	(cbrt t)
403.0ms	(cbrt t)

simplify5.6s

Counts

69 → 69

Iterations

Iter	Nodes
done	5000
4	4380
3	1261
2	496
1	191
0	92

prune914.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes2.6s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	26
1	26
0	21

end0.0ms

sample15.8s

Algorithm

intervals

Results

9.9s	55171×	body	80	nan
1.8s	8031×	body	80	valid