Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

336×

body

valid

simplify2.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* x y))
0.1b	(* x (- 1.0 (* x y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

5.0ms	(- 1.0 (* x y))
17.0ms	(* x (- 1.0 (* x y)))

series94.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(- 1.0 (* x y))
46.0ms	(* x (- 1.0 (* x y)))

simplify46.0ms

Counts: 42 → 42

prune110.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (- (* x y))))
0.2b	(* x (- (* x y)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-l` `distribute-rgt-neg-out`
1×	`+-commutative` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

20.0ms	(+ (* x 1.0) (* x (- (* x y))))
20.0ms	(* x (- (* x y)))

series101.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(+ (* x 1.0) (* x (- (* x y))))
36.0ms	(* x (- (* x y)))

simplify42.0ms

Counts: 42 → 42

prune107.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x 1.0) (* x (- (* x y))))) (cbrt (+ (* x 1.0) (* x (- (* x y))))))
0.6b	(cbrt (+ (* x 1.0) (* x (- (* x y)))))
0.6b	(cbrt (+ (* x 1.0) (* x (- (* x y)))))
0.6b	(cbrt (+ (* x 1.0) (* x (- (* x y)))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
7×	`swap-sqr` `associate-r` `associate-l` `distribute-lft-out`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 93

Calls

4 calls:

41.0ms	(* (cbrt (+ (* x 1.0) (* x (- (* x y))))) (cbrt (+ (* x 1.0) (* x (- (* x y))))))
10.0ms	(cbrt (+ (* x 1.0) (* x (- (* x y)))))
5.0ms	(cbrt (+ (* x 1.0) (* x (- (* x y)))))
5.0ms	(cbrt (+ (* x 1.0) (* x (- (* x y)))))

series1.8s

Counts

4 → 12

Calls

4 calls:

384.0ms	(* (cbrt (+ (* x 1.0) (* x (- (* x y))))) (cbrt (+ (* x 1.0) (* x (- (* x y))))))
348.0ms	(cbrt (+ (* x 1.0) (* x (- (* x y)))))
363.0ms	(cbrt (+ (* x 1.0) (* x (- (* x y)))))
679.0ms	(cbrt (+ (* x 1.0) (* x (- (* x y)))))

simplify57.0ms

Counts: 105 → 105

prune514.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x 1.0) (* x (- (* x y))))) (cbrt (+ (* x 1.0) (* x (- (* x y))))))
0.6b	(cbrt (+ (* x 1.0) (* x (- (* x y)))))
0.6b	(cbrt (+ (* x 1.0) (* x (- (* x y)))))
0.6b	(cbrt x)

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

31×	`cbrt-prod`
23×	`add-sqr-sqrt`
16×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`flip3-+` `flip-+`
7×	`swap-sqr` `associate-r` `associate-l`
6×	`add-exp-log` `distribute-lft-out`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 90

Calls

4 calls:

66.0ms	(* (cbrt (+ (* x 1.0) (* x (- (* x y))))) (cbrt (+ (* x 1.0) (* x (- (* x y))))))
14.0ms	(cbrt (+ (* x 1.0) (* x (- (* x y)))))
9.0ms	(cbrt (+ (* x 1.0) (* x (- (* x y)))))
2.0ms	(cbrt x)

series1.4s

Counts

4 → 12

Calls

4 calls:

379.0ms	(* (cbrt (+ (* x 1.0) (* x (- (* x y))))) (cbrt (+ (* x 1.0) (* x (- (* x y))))))
400.0ms	(cbrt (+ (* x 1.0) (* x (- (* x y)))))
322.0ms	(cbrt (+ (* x 1.0) (* x (- (* x y)))))
303.0ms	(cbrt x)

simplify56.0ms

Counts: 102 → 102

prune577.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes79.0ms

Accuracy

-10.5% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

end0.0ms

sample832.0ms

Algorithm

intervals

Results

407.0ms

10629×

body

valid