Details

sample437.0ms

Algorithm

intervals

Results

249.0ms	2011×	body	80	nan
29.0ms	256×	body	80	valid

simplify7.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	3868
6	1574
5	899
4	374
3	147
2	59
1	27
0	15

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize135.0ms

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

rewrite757.0ms

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:

169.0ms	(- (+ (log (+ x y)) (log z)) t)
483.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
57.0ms	(* (- a 0.5) (log t))
41.0ms	(+ (log (+ x y)) (log z))

series1.0s

Counts

4 → 12

Calls

4 calls:

307.0ms	(- (+ (log (+ x y)) (log z)) t)
467.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
105.0ms	(* (- a 0.5) (log t))
137.0ms	(+ (log (+ x y)) (log z))

simplify4.6s

Counts

118 → 118

Iterations

Iter	Nodes
done	5007
2	2294
1	641
0	244

prune2.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize202.0ms

Local error

Found 4 expressions with local error:

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

rewrite482.0ms

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-` `insert-posit16`
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 → 102

Calls

4 calls:

18.0ms	(- (log z) t)
277.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
113.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
68.0ms	(* (- a 0.5) (log t))

series912.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(- (log z) t)
477.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
215.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))
94.0ms	(* (- a 0.5) (log t))

simplify4.5s

Counts

114 → 114

Iterations

Iter	Nodes
done	5005
2	2256
1	669
0	246

prune2.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize317.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(cbrt t)

rewrite34.0ms

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` `insert-posit16` `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 → 77

Calls

4 calls:

24.0ms	(* (cbrt t) (cbrt t))
2.0ms	(cbrt t)
2.0ms	(cbrt t)
2.0ms	(cbrt t)

series1.1s

Counts

4 → 12

Calls

4 calls:

311.0ms	(* (cbrt t) (cbrt t))
263.0ms	(cbrt t)
252.0ms	(cbrt t)
299.0ms	(cbrt t)

simplify7.9s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
4	3734
3	1049
2	353
1	137
0	63

prune1.6s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize250.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.5b	(cbrt t)
0.5b	(cbrt t)
5.1b	(pow t 1/3)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
22×	`cbrt-prod`
16×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow1`
8×	`pow1/3`
7×	`add-exp-log`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`pow-unpow` `unpow-prod-down`
2×	`pow-prod-down` `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 → 84

Calls

4 calls:

27.0ms	(* (cbrt t) (cbrt t))
2.0ms	(cbrt t)
2.0ms	(cbrt t)
6.0ms	(pow t 1/3)

series1.4s

Counts

4 → 12

Calls

4 calls:

383.0ms	(* (cbrt t) (cbrt t))
327.0ms	(cbrt t)
351.0ms	(cbrt t)
295.0ms	(pow t 1/3)

simplify6.2s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
4	3788
3	1315
2	533
1	247
0	92

prune1.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes3.7s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	30
1	30
0	24

end0.0ms

sample13.6s

Algorithm

intervals

Results

7.0s	56439×	body	80	nan
1.1s	8029×	body	80	valid