Details

sample59.0ms

Algorithm

intervals

Results

16.0ms	257×	body	80	valid
13.0ms	255×	body	80	nan

simplify848.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	61	12
3	188	12
4	1000	12
done	5001	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.0b	(- x (* (+ y 0.5) (log y)))
0.1b	(+ (- x (* (+ y 0.5) (log y))) y)
0.2b	(* (+ y 0.5) (log y))

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

208.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
6.0ms	(- x (* (+ y 0.5) (log y)))
21.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
28.0ms	(* (+ y 0.5) (log y))

series690.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
69.0ms	(- x (* (+ y 0.5) (log y)))
88.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
427.0ms	(* (+ y 0.5) (log y))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	172	1294
1	461	1175
2	1860	1094
done	5001	1088

prune469.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 1 (- (+ x y) (* (+ y 0.5) (log y)))) z)
0.1b	(- (+ x y) (* (+ y 0.5) (log y)))
0.2b	(* (+ y 0.5) (log y))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 71

Calls

3 calls:

48.0ms	(- (* 1 (- (+ x y) (* (+ y 0.5) (log y)))) z)
53.0ms	(- (+ x y) (* (+ y 0.5) (log y)))
26.0ms	(* (+ y 0.5) (log y))

series430.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(- (* 1 (- (+ x y) (* (+ y 0.5) (log y)))) z)
56.0ms	(- (+ x y) (* (+ y 0.5) (log y)))
292.0ms	(* (+ y 0.5) (log y))

simplify1.6s

Counts

80 → 80

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	186	1280
1	549	1135
2	2397	1062
done	5001	1056

prune527.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (log (cbrt y)) (+ y 0.5))
0.3b	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (cbrt y)) (+ y 0.5)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `-un-lft-identity` `associate-r/`
8×	`add-cube-cbrt`
7×	`pow1`
6×	`add-exp-log` `cbrt-prod` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
5×	`associate-l`
4×	`associate-r` `frac-add`
3×	`distribute-rgt-in` `distribute-lft-in` `pow1/3`
2×	`associate-+l+` `associate-+r+` `log-pow`
1×	`+-commutative` `distribute-rgt-out` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

4 → 67

Calls

4 calls:

44.0ms	(* (log (cbrt y)) (+ y 0.5))
57.0ms	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (cbrt y)) (+ y 0.5)))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series2.6s

Counts

4 → 12

Calls

4 calls:

689.0ms	(* (log (cbrt y)) (+ y 0.5))
1.3s	(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (log (cbrt y)) (+ y 0.5)))
329.0ms	(cbrt y)
295.0ms	(cbrt y)

simplify1.6s

Counts

79 → 79

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	141	1106
1	433	969
2	2331	805
done	5002	777

prune641.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (sqrt (+ y 0.5)) (log (cbrt y))) (sqrt (+ y 0.5)))
0.4b	(* (sqrt (+ y 0.5)) (log (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`add-cube-cbrt`
14×	`sqrt-div`
12×	`pow1` `cbrt-prod` `log-prod` `associate-r`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-*l/`
9×	`sqrt-prod`
8×	`associate-l`
7×	`flip3-+` `flip-+`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`frac-times` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`associate-r/` `log-pow` `-commutative` `distribute-lft-out` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

117.0ms	(* (* (sqrt (+ y 0.5)) (log (cbrt y))) (sqrt (+ y 0.5)))
36.0ms	(* (sqrt (+ y 0.5)) (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.5s

Counts

4 → 12

Calls

4 calls:

857.0ms	(* (* (sqrt (+ y 0.5)) (log (cbrt y))) (sqrt (+ y 0.5)))
132.0ms	(* (sqrt (+ y 0.5)) (log (cbrt y)))
226.0ms	(cbrt y)
274.0ms	(cbrt y)

simplify1.4s

Counts

103 → 103

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	177	1422
1	427	1307
2	2081	1165
done	5002	1051

prune624.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes390.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	12	14
1	18	12
2	19	12
done	19	12

end0.0ms

sample1.7s

Algorithm

intervals

Results

543.0ms	8040×	body	80	valid
484.0ms	8055×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid