Details

sample279.0ms

Algorithm

intervals

Results

128.0ms	784×	body	80	nan
37.0ms	205×	body	80	valid
31.0ms	24×	body	320	valid
16.0ms	17×	body	640	valid
9.0ms	6×	body	1280	valid
2.0ms	6×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	2731
6	1183
5	592
4	287
3	116
2	49
1	26
0	14

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.1b	(* (- x 1.0) (log y))
5.5b	(log (- 1.0 y))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`log-prod`
13×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-l`
9×	`add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube` `associate-r`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`flip3--` `associate-*l/` `insert-posit16` `flip--`
3×	`log-pow`
2×	`log-div` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sum-log` `sub-neg` `rem-log-exp` `associate--l+`

Counts

4 → 98

Calls

4 calls:

60.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
23.0ms	(* (- z 1.0) (log (- 1.0 y)))
16.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

series403.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
61.0ms	(* (- z 1.0) (log (- 1.0 y)))
79.0ms	(* (- x 1.0) (log y))
48.0ms	(log (- 1.0 y))

simplify1.2s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1504
1	536
0	235

prune645.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ y 1.0) (/ y 1.0)) 1/2)
0.0b	(* (- z 1.0) (- (- (log 1.0) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) (* 1.0 y)))
0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) (* 1.0 y))))
0.1b	(* (- x 1.0) (log y))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate--l+`
28×	`associate-*l/`
27×	`flip3--` `flip--`
26×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
24×	`log-prod`
21×	`*-un-lft-identity`
20×	`distribute-rgt-in` `distribute-lft-in`
17×	`add-cube-cbrt`
16×	`frac-add`
14×	`pow1` `associate-+r+`
13×	`frac-times`
11×	`associate-l` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`sub-neg`
7×	`associate-*r/`
6×	`associate-+l+` `add-log-exp`
5×	`pow-prod-down`
4×	`cbrt-undiv` `div-exp` `insert-posit16`
3×	`*-commutative` `unswap-sqr`
2×	`distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sum-log` `flip3-+` `log-pow` `flip-+`

Counts

4 → 150

Calls

4 calls:

33.0ms	(* (* (/ y 1.0) (/ y 1.0)) 1/2)
76.0ms	(* (- z 1.0) (- (- (log 1.0) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) (* 1.0 y)))
50.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) (* 1.0 y))))
16.0ms	(* (- x 1.0) (log y))

series393.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* (/ y 1.0) (/ y 1.0)) 1/2)
73.0ms	(* (- z 1.0) (- (- (log 1.0) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) (* 1.0 y)))
198.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* (* (/ y 1.0) (/ y 1.0)) 1/2)) (* 1.0 y))))
92.0ms	(* (- x 1.0) (log y))

simplify2.8s

Counts

162 → 162

Iterations

Iter	Nodes
done	5006
2	4666
1	1033
0	354

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize99.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

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` `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:

9.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.0s

Counts

4 → 12

Calls

4 calls:

255.0ms	(* (cbrt y) (cbrt y))
246.0ms	(cbrt y)
294.0ms	(cbrt y)
248.0ms	(cbrt y)

simplify3.1s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
4	3895
3	1039
2	380
1	138
0	63

prune731.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize84.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (pow y 2/3)) (- x 1.0))
0.3b	(+ (* (log (pow y 2/3)) (- x 1.0)) (* (log (cbrt y)) (- x 1.0)))
0.6b	(cbrt y)
6.0b	(pow y 2/3)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

28.0ms	(* (log (pow y 2/3)) (- x 1.0))
23.0ms	(+ (* (log (pow y 2/3)) (- x 1.0)) (* (log (cbrt y)) (- x 1.0)))
1.0ms	(cbrt y)
2.0ms	(pow y 2/3)

series1.4s

Counts

4 → 12

Calls

4 calls:

173.0ms	(* (log (pow y 2/3)) (- x 1.0))
695.0ms	(+ (* (log (pow y 2/3)) (- x 1.0)) (* (log (cbrt y)) (- x 1.0)))
273.0ms	(cbrt y)
269.0ms	(pow y 2/3)

simplify1.6s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	1949
1	549
0	195

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

regimes540.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	33
1	33
0	26

end0.0ms

sample8.2s

Algorithm

intervals

Results

4.2s	24058×	body	80	nan
935.0ms	5871×	body	80	valid
720.0ms	664×	body	320	valid
645.0ms	824×	body	640	valid
379.0ms	258×	body	1280	valid
171.0ms	413×	body	160	valid