Details

sample234.0ms

Algorithm

intervals

Results

94.0ms	885×	body	80	nan
21.0ms	200×	body	80	valid
10.0ms	10×	body	1280	valid
9.0ms	17×	body	640	valid
7.0ms	19×	body	320	valid
2.0ms	11×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	4312
5	1312
4	339
3	117
2	49
1	26
0	14

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize33.0ms

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))
5.4b	(log (- 1.0 y))

rewrite144.0ms

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/` `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 → 94

Calls

4 calls:

74.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
41.0ms	(* (- z 1.0) (log (- 1.0 y)))
22.0ms	(* (- x 1.0) (log y))
4.0ms	(log (- 1.0 y))

series433.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
56.0ms	(* (- z 1.0) (log (- 1.0 y)))
78.0ms	(* (- x 1.0) (log y))
59.0ms	(log (- 1.0 y))

simplify1.4s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	2102
1	532
0	231

prune897.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (- (log 1.0) (+ (/ 1/2 (* (/ 1.0 y) (/ 1.0 y))) (* 1.0 y))))
0.1b	(* (- x 1.0) (log y))
0.3b	(* (/ 1.0 y) (/ 1.0 y))
1.1b	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

rewrite398.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
43×	`times-frac`
42×	`add-cube-cbrt`
38×	`add-cbrt-cube` `add-exp-log`
23×	`associate-r` `associate-l`
17×	`pow1`
13×	`cbrt-undiv` `swap-sqr` `div-exp`
12×	`log-prod`
10×	`prod-exp` `cbrt-unprod`
8×	`distribute-rgt-in` `distribute-lft-in`
7×	`flip3--` `flip--`
6×	`frac-times` `associate-*l/` `associate--l+` `unswap-sqr`
5×	`div-inv`
4×	`associate-*r/` `distribute-lft-out--` `add-log-exp`
3×	`pow-prod-down` `associate-/r/` `-commutative` `associate-/l` `difference-of-squares`
2×	`sub-neg` `log-pow`
1×	`pow2` `clear-num` `associate-/r*` `frac-2neg` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 167

Calls

4 calls:

322.0ms	(* (- z 1.0) (- (log 1.0) (+ (/ 1/2 (* (/ 1.0 y) (/ 1.0 y))) (* 1.0 y))))
20.0ms	(* (- x 1.0) (log y))
30.0ms	(* (/ 1.0 y) (/ 1.0 y))
19.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

series226.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (- z 1.0) (- (log 1.0) (+ (/ 1/2 (* (/ 1.0 y) (/ 1.0 y))) (* 1.0 y))))
85.0ms	(* (- x 1.0) (log y))
31.0ms	(* (/ 1.0 y) (/ 1.0 y))
30.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

simplify886.0ms

Counts

179 → 179

Iterations

Iter	Nodes
done	5000
1	937
0	320

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* 0.5 y) y) (* (* (* 0.5 y) y) z))
0.0b	(- (- (* (* 0.5 y) y) (* (* (* 0.5 y) y) z)) (* y (* z 1.0)))
0.1b	(* (- x 1.0) (log y))
7.4b	(* (* (* 0.5 y) y) z)

rewrite251.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
15×	`add-cbrt-cube` `add-exp-log`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-log-exp`
9×	`add-cube-cbrt`
7×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`log-prod` `associate-l`
4×	`diff-log`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `flip--`
2×	`associate-l/` `associate--l+` `-commutative`
1×	`associate--l-` `log-pow` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

22.0ms	(- (* (* 0.5 y) y) (* (* (* 0.5 y) y) z))
130.0ms	(- (- (* (* 0.5 y) y) (* (* (* 0.5 y) y) z)) (* y (* z 1.0)))
28.0ms	(* (- x 1.0) (log y))
69.0ms	(* (* (* 0.5 y) y) z)

series269.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(- (* (* 0.5 y) y) (* (* (* 0.5 y) y) z))
64.0ms	(- (- (* (* 0.5 y) y) (* (* (* 0.5 y) y) z)) (* y (* z 1.0)))
80.0ms	(* (- x 1.0) (log y))
31.0ms	(* (* (* 0.5 y) y) z)

simplify2.1s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
2	2492
1	458
0	180

prune669.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- z 1.0))
0.3b	(cbrt (- z 1.0))
0.3b	(* (/ 1.0 y) (/ 1.0 y))
1.1b	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
43×	`times-frac`
40×	`*-un-lft-identity`
36×	`add-cube-cbrt`
34×	`add-cbrt-cube` `add-exp-log`
13×	`cbrt-undiv` `swap-sqr` `div-exp` `associate-r` `associate-l`
11×	`pow1`
10×	`cbrt-prod`
8×	`prod-exp` `cbrt-unprod`
5×	`div-inv`
4×	`cbrt-div` `add-log-exp` `unswap-sqr`
3×	`associate-/r/` `associate-/l*`
2×	`frac-times` `flip3--` `pow1/3` `associate-l/` `associate-r/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`pow2` `clear-num` `associate-/r` `frac-2neg` `pow-plus` `pow-prod-down` `pow-sqr` `-commutative` `pow-prod-up`

Counts

4 → 127

Calls

4 calls:

5.0ms	(cbrt (- z 1.0))
5.0ms	(cbrt (- z 1.0))
31.0ms	(* (/ 1.0 y) (/ 1.0 y))
19.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

series306.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (- z 1.0))
120.0ms	(cbrt (- z 1.0))
41.0ms	(* (/ 1.0 y) (/ 1.0 y))
45.0ms	(/ 1/2 (* (/ 1.0 y) (/ 1.0 y)))

simplify2.5s

Counts

139 → 139

Iterations

Iter	Nodes
done	5002
2	3746
1	691
0	232

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes927.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	29
1	29
0	21

end0.0ms

sample7.4s

Algorithm

intervals

Results

3.0s	24083×	body	80	nan
781.0ms	5794×	body	80	valid
681.0ms	268×	body	1280	valid
444.0ms	770×	body	640	valid
331.0ms	736×	body	320	valid
93.0ms	459×	body	160	valid