Details

sample45.0ms

Algorithm

intervals

Results

11.0ms	255×	body	80	valid
10.0ms	269×	body	80	nan
0.0ms	1×	body	160	valid

simplify121.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (- (* x (log y)) z) y)
0.3b	(* x (log y))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

83.0ms	(- (- (* x (log y)) z) y)
9.0ms	(* x (log y))

series109.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(- (- (* x (log y)) z) y)
52.0ms	(* x (log y))

simplify841.0ms

Counts: 55 → 55

prune159.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

10.0ms	(* x (log (cbrt y)))
46.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

451.0ms	(* x (log (cbrt y)))
111.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
295.0ms	(cbrt y)
334.0ms	(cbrt y)

simplify713.0ms

Counts: 114 → 114

prune516.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (pow (/ 1 y) (/ -1 3)))))
0.3b	(+ (* x (* 2 (log (pow (/ 1 y) (/ -1 3))))) (* x (log (cbrt y))))
0.5b	(cbrt y)
4.9b	(pow (/ 1 y) (/ -1 3))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

148×	`log-prod`
142×	`distribute-rgt-in` `distribute-lft-in`
117×	`unpow-prod-down`
90×	`times-frac`
88×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
68×	`associate-+l+`
14×	`add-exp-log`
13×	`pow-unpow`
12×	`associate-+r+`
11×	`pow1`
10×	`div-inv`
9×	`cbrt-prod` `add-cbrt-cube` `sqr-pow`
6×	`add-log-exp`
4×	`pow-exp`
3×	`pow-pow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `pow-flip` `flip3-+` `pow1/3` `1-exp` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 231

Calls

4 calls:

44.0ms	(* x (* 2 (log (pow (/ 1 y) (/ -1 3)))))
53.0ms	(+ (* x (* 2 (log (pow (/ 1 y) (/ -1 3))))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
10.0ms	(pow (/ 1 y) (/ -1 3))

series795.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* x (* 2 (log (pow (/ 1 y) (/ -1 3)))))
211.0ms	(+ (* x (* 2 (log (pow (/ 1 y) (/ -1 3))))) (* x (log (cbrt y))))
215.0ms	(cbrt y)
260.0ms	(pow (/ 1 y) (/ -1 3))

simplify1.3s

Counts: 243 → 243

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (cbrt y))
0.3b	(* x (* 3 (log (cbrt y))))
0.3b	(* 3 (log (cbrt y)))
0.5b	(cbrt y)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

2.0ms	(log (cbrt y))
22.0ms	(* x (* 3 (log (cbrt y))))
16.0ms	(* 3 (log (cbrt y)))
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

391.0ms	(log (cbrt y))
140.0ms	(* x (* 3 (log (cbrt y))))
406.0ms	(* 3 (log (cbrt y)))
220.0ms	(cbrt y)

simplify586.0ms

Counts: 113 → 113

prune416.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes154.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify135.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

392.0ms	8017×	body	80	valid
278.0ms	7973×	body	80	nan
1.0ms	1×	body	2560	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid