Details

sample71.0ms

Algorithm

intervals

Results

19.0ms	299×	body	80	nan
16.0ms	257×	body	80	valid

simplify140.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

94.0ms	(- (- (* x (log y)) z) y)
10.0ms	(- (* x (log y)) z)
13.0ms	(* x (log y))

series571.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- (- (* x (log y)) z) y)
68.0ms	(- (* x (log y)) z)
458.0ms	(* x (log y))

simplify1.4s

Counts: 76 → 76

prune275.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite379.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

82.0ms	(- (+ (* (log (sqrt y)) x) (* (log (sqrt y)) x)) z)
253.0ms	(- (- (+ (* (log (sqrt y)) x) (* (log (sqrt y)) x)) z) y)
20.0ms	(* (log (sqrt y)) x)
21.0ms	(* (log (sqrt y)) x)

series726.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(- (+ (* (log (sqrt y)) x) (* (log (sqrt y)) x)) z)
134.0ms	(- (- (+ (* (log (sqrt y)) x) (* (log (sqrt y)) x)) z) y)
170.0ms	(* (log (sqrt y)) x)
227.0ms	(* (log (sqrt y)) x)

simplify2.0s

Counts: 91 → 91

prune311.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) (+ x x))
0.3b	(+ (* (log (cbrt y)) (+ x x)) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`cbrt-prod` `associate-+r+` `log-prod` `associate-r`
8×	`distribute-rgt-in` `distribute-lft-in`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-l`
3×	`distribute-rgt-out` `pow1/3` `distribute-lft-out`
2×	`associate-+l+` `flip3-+` `associate-*r/` `log-pow` `flip-+`
1×	`+-commutative` `distribute-lft1-in` `count-2` `pow-prod-down` `distribute-rgt1-in` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

38.0ms	(* (log (cbrt y)) (+ x x))
26.0ms	(+ (* (log (cbrt y)) (+ x x)) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series892.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* (log (cbrt y)) (+ x x))
189.0ms	(+ (* (log (cbrt y)) (+ x x)) (* x (log (cbrt y))))
290.0ms	(cbrt y)
259.0ms	(cbrt y)

simplify732.0ms

Counts: 92 → 92

prune398.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) (+ x x))
0.3b	(+ (* (log (cbrt y)) (+ x x)) (* x (log (pow (/ 1 y) -1/3))))
0.6b	(cbrt y)
5.1b	(pow (/ 1 y) -1/3)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

39×	`unpow-prod-down`
37×	`add-sqr-sqrt` `*-un-lft-identity`
35×	`add-cube-cbrt`
34×	`associate-+r+` `log-prod`
27×	`times-frac`
19×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-r`
11×	`add-exp-log`
9×	`pow1`
6×	`add-cbrt-cube` `add-log-exp`
5×	`associate-l`
4×	`pow-exp`
3×	`cbrt-prod` `pow-unpow` `distribute-rgt-out` `pow-pow` `div-inv` `distribute-lft-out` `sqr-pow`
2×	`associate-+l+` `flip3-+` `pow1/3` `associate-*r/` `div-exp` `log-pow` `flip-+`
1×	`+-commutative` `pow-to-exp` `rec-exp` `pow-flip` `distribute-lft1-in` `count-2` `1-exp` `pow-prod-down` `distribute-rgt1-in` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 123

Calls

4 calls:

24.0ms	(* (log (cbrt y)) (+ x x))
27.0ms	(+ (* (log (cbrt y)) (+ x x)) (* x (log (pow (/ 1 y) -1/3))))
1.0ms	(cbrt y)
7.0ms	(pow (/ 1 y) -1/3)

series949.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(* (log (cbrt y)) (+ x x))
314.0ms	(+ (* (log (cbrt y)) (+ x x)) (* x (log (pow (/ 1 y) -1/3))))
254.0ms	(cbrt y)
204.0ms	(pow (/ 1 y) -1/3)

simplify1.3s

Counts: 135 → 135

prune566.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes94.0ms

Accuracy

-0.5% (0.1b remaining)

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

bsearch0.0ms

simplify417.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

414.0ms	8019×	body	80	valid
348.0ms	7868×	body	80	nan
1.0ms	1×	body	2560	valid
0.0ms	1×	body	1280	valid