Details

sample70.0ms

Algorithm

intervals

Results

20.0ms	257×	body	80	valid
17.0ms	258×	body	80	nan

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1007
3	189
2	61
1	21
0	10

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

10.0ms	(- x (* (+ y 0.5) (log y)))
26.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
18.0ms	(* (+ y 0.5) (log y))

series609.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(- x (* (+ y 0.5) (log y)))
86.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
433.0ms	(* (+ y 0.5) (log y))

simplify826.0ms

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	1492
1	384
0	139

prune504.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

10.0ms	(+ x (- y (* (log y) (+ 0.5 y))))
4.0ms	(- y (* (log y) (+ 0.5 y)))
33.0ms	(* (log y) (+ 0.5 y))

series1.2s

Counts

3 → 9

Calls

3 calls:

75.0ms	(+ x (- y (* (log y) (+ 0.5 y))))
700.0ms	(- y (* (log y) (+ 0.5 y)))
405.0ms	(* (log y) (+ 0.5 y))

simplify921.0ms

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
2	1766
1	343
0	117

prune375.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- (- y (* (log y) 0.5)) (* (log y) y)))
0.0b	(- y (* (log y) 0.5))
0.1b	(- (- y (* (log y) 0.5)) (* (log y) y))
0.3b	(* (log y) y)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

38.0ms	(+ x (- (- y (* (log y) 0.5)) (* (log y) y)))
4.0ms	(- y (* (log y) 0.5))
22.0ms	(- (- y (* (log y) 0.5)) (* (log y) y))
7.0ms	(* (log y) y)

series1.3s

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ x (- (- y (* (log y) 0.5)) (* (log y) y)))
315.0ms	(- y (* (log y) 0.5))
665.0ms	(- (- y (* (log y) 0.5)) (* (log y) y))
264.0ms	(* (log y) y)

simplify1.0s

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	1567
1	353
0	131

prune428.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ 0.5 y) (* 2 (log (cbrt y))))
0.2b	(- (- x (* (+ 0.5 y) (* 2 (log (cbrt y))))) (* (log (cbrt y)) (+ y 0.5)))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

25×	`distribute-rgt-in` `distribute-lft-in`
24×	`log-prod`
18×	`cbrt-prod`
17×	`*-un-lft-identity`
15×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1` `add-cbrt-cube` `add-exp-log` `add-log-exp`
4×	`associate-l` `associate-*r/` `frac-sub`
3×	`flip3-+` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+` `flip--`
2×	`sub-neg` `pow1/3` `associate-*l/` `associate--l+` `associate--r+`
1×	`associate--l-` `associate-r` `*-commutative` `distribute-lft-out`

Counts

4 → 89

Calls

4 calls:

58.0ms	(* (+ 0.5 y) (* 2 (log (cbrt y))))
56.0ms	(- (- x (* (+ 0.5 y) (* 2 (log (cbrt y))))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.5s

Counts

4 → 12

Calls

4 calls:

822.0ms	(* (+ 0.5 y) (* 2 (log (cbrt y))))
113.0ms	(- (- x (* (+ 0.5 y) (* 2 (log (cbrt y))))) (* (log (cbrt y)) (+ y 0.5)))
309.0ms	(cbrt y)
272.0ms	(cbrt y)

simplify1.3s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	2884
1	695
0	219

prune678.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes238.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.1s	8040×	body	80	valid
601.0ms	7802×	body	80	nan
0.0ms	1×	body	640	valid