Details

sample151.0ms

Algorithm

intervals

Results

50.0ms	663×	body	80	nan
15.0ms	184×	body	80	valid
11.0ms	24×	body	640	valid
9.0ms	11×	body	1280	valid
5.0ms	19×	body	320	valid
3.0ms	19×	body	160	valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	26	17
2	49	17
3	117	17
4	346	17
5	1391	17
6	4731	17
done	5000	17

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- x 1.0) (log y)) (* (- 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))
6.3b	(log (- 1.0 y))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

48.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
84.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
31.0ms	(* (- x 1.0) (log y))
6.0ms	(log (- 1.0 y))

series479.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
178.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
87.0ms	(* (- x 1.0) (log y))
47.0ms	(log (- 1.0 y))

simplify1.3s

Counts

104 → 104

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	251	1821
1	644	1708
2	2635	1579
done	5002	1571

prune643.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite363.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-sqr-sqrt`
80×	`times-frac`
78×	`associate-r`
56×	`unpow-prod-down`
55×	`*-un-lft-identity`
46×	`add-cube-cbrt`
31×	`add-exp-log`
24×	`unpow2` `sqr-pow`
19×	`unswap-sqr`
13×	`associate-l` `add-cbrt-cube`
12×	`pow1` `log-prod` `prod-exp`
9×	`div-exp` `add-log-exp`
8×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `flip--`
7×	`associate--l+`
6×	`pow-to-exp` `pow-exp`
5×	`distribute-lft-out--`
4×	`frac-times` `associate-*l/` `cbrt-unprod` `difference-of-squares`
3×	`sub-neg` `associate-r/` `pow-prod-down` `-commutative`
2×	`diff-log` `log-pow`
1×	`cbrt-undiv` `sum-log` `div-inv`

Counts

4 → 196

Calls

4 calls:

135.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
51.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
133.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
34.0ms	(* (- x 1.0) (log y))

series625.0ms

Counts

4 → 12

Calls

4 calls:

401.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
68.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
91.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
64.0ms	(* (- x 1.0) (log y))

simplify658.0ms

Counts

208 → 208

Iterations

Useful iterations: done (649.0ms)

Iter	Nodes	Cost
0	429	3848
1	1138	3585
done	5000	3138

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 1.0) (log (cbrt y)))
0.3b	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
20×	`add-sqr-sqrt`
18×	`cbrt-prod` `*-un-lft-identity`
16×	`add-cube-cbrt`
14×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `associate-*l/` `add-cbrt-cube` `add-log-exp`
5×	`flip3--` `associate-r` `associate-l` `flip--`
4×	`associate-+l+` `associate-*r/` `frac-add`
3×	`pow1/3`
2×	`sub-neg` `log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

36.0ms	(* (- x 1.0) (log (cbrt y)))
52.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.1s

Counts

4 → 12

Calls

4 calls:

175.0ms	(* (- x 1.0) (log (cbrt y)))
383.0ms	(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
251.0ms	(cbrt y)
247.0ms	(cbrt y)

simplify1.4s

Counts

101 → 101

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	173	1509
1	483	1390
2	2399	1185
done	5000	1177

prune922.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.0b	(- (* 3 x) 3.0)
0.3b	(* (log (cbrt y)) (- (* 3 x) 3.0))
0.6b	(cbrt y)

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

127.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
20.0ms	(- (* 3 x) 3.0)
63.0ms	(* (log (cbrt y)) (- (* 3 x) 3.0))
2.0ms	(cbrt y)

series625.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
56.0ms	(- (* 3 x) 3.0)
222.0ms	(* (log (cbrt y)) (- (* 3 x) 3.0))
273.0ms	(cbrt y)

simplify1.3s

Counts

102 → 102

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	210	1868
1	536	1803
2	2567	1639
done	5001	1636

prune745.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes664.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	32
1	33	32
done	33	32

end0.0ms

sample6.9s

Algorithm

intervals

Results

3.5s	23684×	body	80	nan
601.0ms	5830×	body	80	valid
367.0ms	788×	body	640	valid
268.0ms	257×	body	1280	valid
245.0ms	679×	body	320	valid
123.0ms	468×	body	160	valid