Details

sample30.0ms

Algorithm

intervals

Results

13.0ms

353×

body

valid

simplify31.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:

12.0ms	(- 1.0 (* x y))
27.0ms	(* x (- 1.0 (* x y)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(- 1.0 (* x y))
53.0ms	(* x (- 1.0 (* x y)))

simplify1.2s

Counts: 42 → 42

prune108.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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:

18.0ms	(+ (* x 1.0) (* x (- (* x y))))
14.0ms	(* x (- (* x y)))

series101.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(+ (* x 1.0) (* x (- (* x y))))
31.0ms	(* x (- (* x y)))

simplify883.0ms

Counts: 42 → 42

prune152.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

6.0ms	(cbrt (- 1.0 (* x y)))
6.0ms	(cbrt (- 1.0 (* x y)))
6.0ms	(cbrt (- 1.0 (* x y)))
60.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series1.3s

Counts

4 → 12

Calls

4 calls:

337.0ms	(cbrt (- 1.0 (* x y)))
335.0ms	(cbrt (- 1.0 (* x y)))
314.0ms	(cbrt (- 1.0 (* x y)))
302.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify749.0ms

Counts: 99 → 99

prune426.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

38×	`cbrt-prod` `add-sqr-sqrt`
28×	`cbrt-div`
22×	`add-cube-cbrt` `*-un-lft-identity`
18×	`pow1`
14×	`flip3--` `pow1/3` `flip--`
12×	`swap-sqr` `associate-r` `associate-l`
8×	`add-exp-log` `frac-times` `unswap-sqr`
4×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up` `add-cbrt-cube` `add-log-exp`
2×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 122

Calls

4 calls:

7.0ms	(cbrt (- 1.0 (* x y)))
6.0ms	(cbrt (- 1.0 (* x y)))
50.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
45.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series1.8s

Counts

4 → 12

Calls

4 calls:

351.0ms	(cbrt (- 1.0 (* x y)))
727.0ms	(cbrt (- 1.0 (* x y)))
355.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
376.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify736.0ms

Counts: 134 → 134

prune690.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

-7.3% (0.1b remaining)

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

bsearch0.0ms

simplify33.0ms

end0.0ms

sample946.0ms

Algorithm

intervals

Results

474.0ms

10804×

body

valid