Details

sample335.0ms

Algorithm

intervals

Results

220.0ms	1637×	body	80	nan
37.0ms	259×	body	80	valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
7	3740
6	1508
5	890
4	374
3	147
2	59
1	27
0	15

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize46.0ms

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))

rewrite218.0ms

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:

184.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
17.0ms	(* (- a 0.5) (log t))
15.0ms	(+ (log (+ x y)) (log z))

series412.0ms

Counts

3 → 9

Calls

3 calls:

269.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
63.0ms	(* (- a 0.5) (log t))
81.0ms	(+ (log (+ x y)) (log z))

simplify702.0ms

Counts

92 → 92

Iterations

Iter	Nodes
2	2161
1	609
0	229

prune1.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

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))

rewrite47.0ms

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` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

26.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
14.0ms	(cbrt (+ x y))

series815.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
180.0ms	(cbrt (+ x y))
206.0ms	(cbrt (+ x y))
173.0ms	(cbrt (+ x y))

simplify1.8s

Counts

111 → 111

Iterations

Iter	Nodes
4	4402
3	1647
2	644
1	268
0	118

prune2.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

22.0ms	(+ (* (+ (log (cbrt t)) (log (cbrt t))) (- a 0.5)) (log (+ y x)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series1.1s

Counts

4 → 12

Calls

4 calls:

345.0ms	(+ (* (+ (log (cbrt t)) (log (cbrt t))) (- a 0.5)) (log (+ y x)))
236.0ms	(cbrt t)
293.0ms	(cbrt t)
241.0ms	(cbrt t)

simplify1.1s

Counts

70 → 70

Iterations

Iter	Nodes
3	2910
2	753
1	265
0	107

prune1.4s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize96.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* (+ (log (cbrt t)) (log (cbrt t))) (- a 0.5)) (log (+ y x)))
0.6b	(cbrt t)
0.6b	(cbrt t)
5.1b	(pow (/ 1 t) -1/3)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
15×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`unpow-prod-down`
9×	`times-frac` `add-exp-log`
6×	`cbrt-prod` `pow1`
5×	`add-log-exp`
4×	`associate-+l+` `associate-+r+` `log-prod` `add-cbrt-cube` `pow-exp` `insert-posit16`
3×	`pow-unpow` `pow-pow`
2×	`distribute-rgt-in` `log-div` `associate-+r-` `sub-neg` `distribute-lft-in` `flip3-+` `pow1/3` `div-exp` `flip-+`
1×	`pow-to-exp` `+-commutative` `rec-exp` `sum-log` `1-exp` `div-inv` `pow-flip` `distribute-lft-out` `inv-pow` `sqr-pow`

Counts

4 → 79

Calls

4 calls:

37.0ms	(+ (* (+ (log (cbrt t)) (log (cbrt t))) (- a 0.5)) (log (+ y x)))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
8.0ms	(pow (/ 1 t) -1/3)

series1.2s

Counts

4 → 12

Calls

4 calls:

353.0ms	(+ (* (+ (log (cbrt t)) (log (cbrt t))) (- a 0.5)) (log (+ y x)))
275.0ms	(cbrt t)
304.0ms	(cbrt t)
313.0ms	(pow (/ 1 t) -1/3)

simplify2.4s

Counts

91 → 91

Iterations

Iter	Nodes
3	4309
2	1138
1	425
0	180

prune1.9s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	24
1	24
0	19

end0.0ms

sample13.8s

Algorithm

intervals

Results

9.4s	55597×	body	80	nan
1.4s	8033×	body	80	valid