Details

sample78.0ms

Algorithm

intervals

Results

23.0ms	257×	body	80	valid
16.0ms	255×	body	80	nan

simplify1.0s

Counts

1 → 1

Iterations

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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))

rewrite211.0ms

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:

194.0ms	(- (+ (- y z) x) (* (log y) (+ 0.5 y)))
16.0ms	(* (log y) (+ 0.5 y))

series489.0ms

Counts

2 → 6

Calls

2 calls:

107.0ms	(- (+ (- y z) x) (* (log y) (+ 0.5 y)))
382.0ms	(* (log y) (+ 0.5 y))

simplify1.1s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
2	2281
1	429
0	140

prune338.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite768.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

137.0ms	(- (+ x (- y z)) (* 0.5 (log y)))
621.0ms	(- (- (+ x (- y z)) (* 0.5 (log y))) (* y (log y)))
7.0ms	(* y (log y))

series434.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (+ x (- y z)) (* 0.5 (log y)))
103.0ms	(- (- (+ x (- y z)) (* 0.5 (log y))) (* y (log y)))
273.0ms	(* y (log y))

simplify806.0ms

Counts

81 → 81

Iterations

Iter	Nodes
done	5002
2	1554
1	385
0	148

prune388.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0s

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

40.0ms	(- (- y z) (* 0.5 (log (sqrt y))))
572.0ms	(- (+ x (- (- y z) (* 0.5 (log (sqrt y))))) (* (log (sqrt y)) 0.5))
2.3s	(- (- (+ x (- (- y z) (* 0.5 (log (sqrt y))))) (* (log (sqrt y)) 0.5)) (* y (log y)))
7.0ms	(* y (log y))

series565.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(- (- y z) (* 0.5 (log (sqrt y))))
81.0ms	(- (+ x (- (- y z) (* 0.5 (log (sqrt y))))) (* (log (sqrt y)) 0.5))
102.0ms	(- (- (+ x (- (- y z) (* 0.5 (log (sqrt y))))) (* (log (sqrt y)) 0.5)) (* y (log y)))
268.0ms	(* y (log y))

simplify969.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	5002
2	2056
1	543
0	212

prune567.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.3b	(* y (* 2 (log (cbrt y))))
0.3b	(* y (log (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
12×	`pow1`
11×	`add-cbrt-cube` `add-exp-log`
6×	`associate-r` `associate-l`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`log-pow` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 96

Calls

4 calls:

17.0ms	(* y (* 2 (log (cbrt y))))
11.0ms	(* y (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.6s

Counts

4 → 12

Calls

4 calls:

472.0ms	(* y (* 2 (log (cbrt y))))
588.0ms	(* y (log (cbrt y)))
273.0ms	(cbrt y)
271.0ms	(cbrt y)

simplify636.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	5001
2	1362
1	387
0	152

prune597.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes543.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	21
1	21
0	17

end0.0ms

sample1.9s

Algorithm

intervals

Results

668.0ms	8038×	body	80	valid
532.0ms	7928×	body	80	nan
0.0ms	2×	body	160	valid