Details

sample66.0ms

Algorithm

intervals

Results

16.0ms	259×	body	80	valid
14.0ms	273×	body	80	nan

simplify1.0s

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

122.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
20.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
20.0ms	(* (+ y 0.5) (log y))

series402.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(- (+ (- x (* (+ y 0.5) (log y))) y) z)
59.0ms	(+ (- x (* (+ y 0.5) (log y))) y)
271.0ms	(* (+ y 0.5) (log y))

simplify656.0ms

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	1448
1	390
0	148

prune399.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite312.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

23.0ms	(- x (- (* (log y) (+ y 0.5)) y))
244.0ms	(- (- x (- (* (log y) (+ y 0.5)) y)) z)
23.0ms	(- (* (log y) (+ y 0.5)) y)
20.0ms	(* (log y) (+ y 0.5))

series1.1s

Counts

4 → 12

Calls

4 calls:

55.0ms	(- x (- (* (log y) (+ y 0.5)) y))
63.0ms	(- (- x (- (* (log y) (+ y 0.5)) y)) z)
558.0ms	(- (* (log y) (+ y 0.5)) y)
398.0ms	(* (log y) (+ y 0.5))

simplify764.0ms

Counts

91 → 91

Iterations

Iter	Nodes
done	5001
2	1865
1	421
0	160

prune549.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

160.0ms	(- (+ (- y z) x) (* (log y) (+ 0.5 y)))
38.0ms	(* (log y) (+ 0.5 y))

series435.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(- (+ (- y z) x) (* (log y) (+ 0.5 y)))
353.0ms	(* (log y) (+ 0.5 y))

simplify964.0ms

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
2	2281
1	429
0	140

prune241.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

49×	`distribute-rgt-in` `distribute-lft-in`
48×	`log-prod`
30×	`cbrt-prod`
25×	`*-un-lft-identity`
24×	`associate-+l+`
23×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`flip3-+` `associate-*l/` `flip-+` `add-log-exp`
4×	`associate-l` `frac-add` `associate-*r/`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-+r+` `pow1/3`
1×	`+-commutative` `sum-log` `associate-r` `*-commutative` `distribute-lft-out`

Counts

4 → 108

Calls

4 calls:

43.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
39.0ms	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series2.4s

Counts

4 → 12

Calls

4 calls:

828.0ms	(* (+ y 0.5) (* 2 (log (cbrt y))))
1.1s	(+ (* (+ y 0.5) (* 2 (log (cbrt y)))) (* (log (cbrt y)) (+ y 0.5)))
245.0ms	(cbrt y)
257.0ms	(cbrt y)

simplify1.2s

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
2	3005
1	674
0	208

prune758.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes274.0ms

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	13
1	13
0	10

end0.0ms

sample1.9s

Algorithm

intervals

Results

681.0ms	8031×	body	80	valid
449.0ms	8083×	body	80	nan
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid