Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

336×

body

valid

simplify31.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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))
26.0ms	(* x (- 1.0 (* x y)))

series101.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(- 1.0 (* x y))
73.0ms	(* x (- 1.0 (* x y)))

simplify1.1s

Counts: 42 → 42

prune89.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(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))))

rewrite43.0ms

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:

3.0ms	(cbrt (- 1.0 (* x y)))
3.0ms	(cbrt (- 1.0 (* x y)))
3.0ms	(cbrt (- 1.0 (* x y)))
31.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series1.4s

Counts

4 → 12

Calls

4 calls:

363.0ms	(cbrt (- 1.0 (* x y)))
336.0ms	(cbrt (- 1.0 (* x y)))
323.0ms	(cbrt (- 1.0 (* x y)))
339.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify772.0ms

Counts: 99 → 99

prune480.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x y) (* x y))
2.3b	(/ (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))))
5.4b	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
5.4b	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
28×	`add-exp-log` `cbrt-div`
20×	`add-cbrt-cube`
17×	`pow-prod-down`
12×	`prod-exp` `cbrt-unprod`
8×	`cbrt-prod` `frac-times` `flip3--` `associate-/r/` `flip--` `associate-/l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `flip-+`
4×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `pow-sqr` `pow-prod-up` `add-log-exp`
2×	`pow-plus` `pow1/3` `difference-of-squares`
1×	`pow2` `frac-2neg` `times-frac` `swap-sqr` `associate-r` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*`

Counts

4 → 99

Calls

4 calls:

44.0ms	(* (* x y) (* x y))
66.0ms	(/ (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))))
12.0ms	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
7.0ms	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

series775.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* x y) (* x y))
373.0ms	(/ (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))))
176.0ms	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
182.0ms	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

simplify1.1s

Counts: 111 → 111

prune602.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.3b	(pow (cbrt (- 1.0 (* x y))) 6)
5.4b	(cbrt (pow (cbrt (- 1.0 (* x y))) 6))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`cbrt-div` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`flip3--` `pow-pow` `flip--` `sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

4 → 65

Calls

4 calls:

5.0ms	(cbrt (- 1.0 (* x y)))
6.0ms	(cbrt (- 1.0 (* x y)))
17.0ms	(pow (cbrt (- 1.0 (* x y))) 6)
15.0ms	(cbrt (pow (cbrt (- 1.0 (* x y))) 6))

series1.6s

Counts

4 → 12

Calls

4 calls:

326.0ms	(cbrt (- 1.0 (* x y)))
365.0ms	(cbrt (- 1.0 (* x y)))
520.0ms	(pow (cbrt (- 1.0 (* x y))) 6)
356.0ms	(cbrt (pow (cbrt (- 1.0 (* x y))) 6))

simplify770.0ms

Counts: 77 → 77

prune383.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes107.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify34.0ms

end0.0ms

sample860.0ms

Algorithm

intervals

Results

392.0ms

10716×

body

valid