Details

sample41.0ms

Algorithm

intervals

Results

11.0ms	258×	body	80	valid
8.0ms	251×	body	80	nan

simplify89.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

17.0ms	(- (* x (log y)) z)
11.0ms	(* x (log y))

series153.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(- (* x (log y)) z)
83.0ms	(* x (log y))

simplify630.0ms

Counts: 49 → 49

prune158.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

4.0ms	(log (sqrt y))
80.0ms	(- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) z)
18.0ms	(* x (log (sqrt y)))
12.0ms	(* x (log (sqrt y)))

series485.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(log (sqrt y))
125.0ms	(- (+ (* x (log (sqrt y))) (* x (log (sqrt y)))) z)
133.0ms	(* x (log (sqrt y)))
138.0ms	(* x (log (sqrt y)))

simplify2.0s

Counts: 111 → 111

prune448.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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)

rewrite46.0ms

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:

11.0ms	(* x (log (cbrt y)))
28.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series895.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* x (log (cbrt y)))
156.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
277.0ms	(cbrt y)
317.0ms	(cbrt y)

simplify723.0ms

Counts: 114 → 114

prune554.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

92×	`log-prod`
65×	`unpow-prod-down`
58×	`distribute-rgt-in` `distribute-lft-in`
57×	`add-sqr-sqrt`
55×	`add-cube-cbrt` `*-un-lft-identity`
45×	`times-frac`
34×	`associate-+r+`
24×	`associate-+l+`
15×	`cbrt-prod`
11×	`add-exp-log`
8×	`pow1`
6×	`add-cbrt-cube` `add-log-exp`
5×	`div-inv` `sqr-pow`
4×	`associate-r` `pow-exp`
3×	`pow-unpow` `pow-pow` `associate-l`
2×	`div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `pow-flip` `flip3-+` `pow1/3` `1-exp` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `inv-pow` `unswap-sqr`

Counts

4 → 166

Calls

4 calls:

24.0ms	(* x (log (pow (/ 1 y) -1/3)))
60.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow (/ 1 y) -1/3))))
1.0ms	(cbrt y)
12.0ms	(pow (/ 1 y) -1/3)

series897.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* x (log (pow (/ 1 y) -1/3)))
259.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow (/ 1 y) -1/3))))
227.0ms	(cbrt y)
297.0ms	(pow (/ 1 y) -1/3)

simplify1.1s

Counts: 178 → 178

prune883.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes102.0ms

Accuracy

-0.2% (0.1b remaining)

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

bsearch0.0ms

simplify474.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

378.0ms	8031×	body	80	valid
323.0ms	7971×	body	80	nan