Details

sample237.0ms

Algorithm

intervals

Results

105.0ms	750×	body	80	nan
42.0ms	190×	body	80	valid
13.0ms	17×	body	640	valid
11.0ms	8×	body	1280	valid
11.0ms	22×	body	320	valid
7.0ms	21×	body	160	valid

simplify3.5s

Counts

1 → 1

Iterations

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.1b	(* (- x 1.0) (log y))
7.5b	(log (- 1.0 y))

rewrite143.0ms

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:

34.0ms	(* (- z 1.0) (log (- 1.0 y)))
87.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
17.0ms	(* (- x 1.0) (log y))
4.0ms	(log (- 1.0 y))

series398.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (- z 1.0) (log (- 1.0 y)))
214.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
67.0ms	(* (- x 1.0) (log y))
60.0ms	(log (- 1.0 y))

simplify1.4s

Counts

110 → 110

Iterations

Iter	Nodes
done	5002
2	1500
1	536
0	235

prune800.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite384.0ms

Algorithm

rewrite-expression-head

Rules

132×	`associate-*l/`
91×	`flip3--` `flip--`
66×	`frac-times`
54×	`frac-sub`
52×	`frac-add`
42×	`associate-*r/`
33×	`associate--l+`
26×	`add-sqr-sqrt`
24×	`log-prod`
22×	`*-un-lft-identity`
20×	`distribute-rgt-in` `distribute-lft-in`
16×	`add-cube-cbrt`
14×	`associate-+r+`
11×	`add-log-exp`
10×	`associate-l`
9×	`pow1` `sub-neg`
8×	`add-cbrt-cube` `add-exp-log`
7×	`associate-r`
6×	`associate-+l+`
4×	`insert-posit16`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`sum-log` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `log-pow` `flip-+`

Counts

4 → 192

Calls

4 calls:

157.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))) t)
74.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2))))
119.0ms	(* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))
24.0ms	(* (- x 1.0) (log y))

series580.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))) t)
166.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2))))
84.0ms	(* (- z 1.0) (- (- (log 1.0) (* 1.0 y)) (* (* (/ y 1.0) (/ y 1.0)) 1/2)))
82.0ms	(* (- x 1.0) (log y))

simplify2.4s

Counts

204 → 204

Iterations

Iter	Nodes
done	5001
1	1475
0	511

prune1.9s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- x 1.0) (log y)) (+ (* (- z 1.0) (- (log 1.0) (* 1.0 y))) (* (- z 1.0) (* (* (/ y 1.0) (/ y 1.0)) -1/2))))
0.0b	(+ (* (- z 1.0) (- (log 1.0) (* 1.0 y))) (* (- z 1.0) (* (* (/ y 1.0) (/ y 1.0)) -1/2)))
0.1b	(* (- x 1.0) (log y))
6.6b	(* (- z 1.0) (* (* (/ y 1.0) (/ y 1.0)) -1/2))

rewrite338.0ms

Algorithm

rewrite-expression-head

Rules

598×	`associate-*l/`
444×	`frac-add`
389×	`flip3--` `flip--`
357×	`frac-times`
216×	`associate-*r/`
31×	`add-cbrt-cube` `add-exp-log`
19×	`add-sqr-sqrt`
18×	`log-prod`
17×	`*-un-lft-identity`
16×	`pow1` `associate-+l+` `prod-exp` `cbrt-unprod`
13×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
10×	`associate-l`
7×	`pow-prod-down`
6×	`associate--l+`
5×	`associate-r`
4×	`cbrt-undiv` `sum-log` `flip3-+` `div-exp` `flip-+` `insert-posit16`
2×	`+-commutative` `sub-neg` `*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`associate-+r+` `log-pow` `distribute-lft-out` `unswap-sqr`

Counts

4 → 382

Calls

4 calls:

92.0ms	(+ (* (- x 1.0) (log y)) (+ (* (- z 1.0) (- (log 1.0) (* 1.0 y))) (* (- z 1.0) (* (* (/ y 1.0) (/ y 1.0)) -1/2))))
37.0ms	(+ (* (- z 1.0) (- (log 1.0) (* 1.0 y))) (* (- z 1.0) (* (* (/ y 1.0) (/ y 1.0)) -1/2)))
34.0ms	(* (- x 1.0) (log y))
160.0ms	(* (- z 1.0) (* (* (/ y 1.0) (/ y 1.0)) -1/2))

series433.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(+ (* (- x 1.0) (log y)) (+ (* (- z 1.0) (- (log 1.0) (* 1.0 y))) (* (- z 1.0) (* (* (/ y 1.0) (/ y 1.0)) -1/2))))
121.0ms	(+ (* (- z 1.0) (- (log 1.0) (* 1.0 y))) (* (- z 1.0) (* (* (/ y 1.0) (/ y 1.0)) -1/2)))
92.0ms	(* (- x 1.0) (log y))
61.0ms	(* (- z 1.0) (* (* (/ y 1.0) (/ y 1.0)) -1/2))

simplify4.1s

Counts

394 → 394

Iterations

Iter	Nodes
done	5003
1	4515
0	1220

prune4.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize66.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite11.0ms

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:

8.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

286.0ms	(* (cbrt y) (cbrt y))
268.0ms	(cbrt y)
240.0ms	(cbrt y)
301.0ms	(cbrt y)

simplify2.9s

Counts

89 → 89

Iterations

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

prune605.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes497.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	34
1	34
0	26

end0.0ms

sample6.9s

Algorithm

intervals

Results

3.5s	23832×	body	80	nan
1.2s	5868×	body	80	valid
473.0ms	778×	body	640	valid
400.0ms	682×	body	320	valid
288.0ms	253×	body	1280	valid
138.0ms	445×	body	160	valid