Details

sample45.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify509.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
1.1b	(- (* (* z 2.0) z) (* y t))
18.3b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
5×	`add-cube-cbrt`
3×	`pow1` `cbrt-undiv` `flip3--` `times-frac` `div-exp` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod`
2×	`sub-neg` `diff-log` `associate-/r/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 51

Calls

3 calls:

64.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
18.0ms	(- (* (* z 2.0) z) (* y t))
56.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series393.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
50.0ms	(- (* (* z 2.0) z) (* y t))
218.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify627.0ms

Counts: 60 → 60

prune204.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.2b

localize27.0ms

Local error

Found 4 expressions with local error:

5.1b	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
22.1b	(cbrt (- (* (* z 2.0) z) (* y t)))
22.1b	(cbrt (- (* (* z 2.0) z) (* y t)))
22.1b	(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`add-exp-log`
12×	`add-cbrt-cube`
9×	`cbrt-prod` `flip3--` `flip--`
8×	`associate-/r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `cbrt-undiv` `frac-times` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow1/3`
2×	`associate-r/` `associate-l/`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 68

Calls

4 calls:

76.0ms	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
20.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
37.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
17.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

series783.0ms

Counts

4 → 12

Calls

4 calls:

340.0ms	(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
149.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
144.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
149.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

simplify706.0ms

Counts: 80 → 80

prune408.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 3.2b

localize52.0ms

Local error

Found 4 expressions with local error:

22.1b	(cbrt (- (* (* z 2.0) z) (* y t)))
22.1b	(cbrt (- (* (* z 2.0) z) (* y t)))
22.1b	(cbrt (- (* (* z 2.0) z) (* y t)))
22.1b	(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

26.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
29.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
21.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
25.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

series642.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
174.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
163.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))
170.0ms	(cbrt (- (* (* z 2.0) z) (* y t)))

simplify981.0ms

Counts: 64 → 64

prune531.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 3.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (pow z 2))
1.1b	(- (* 2.0 (pow z 2)) (* t y))
4.9b	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
16.9b	(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
23×	`add-exp-log` `associate-r`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-cbrt-cube`
18×	`times-frac`
9×	`pow1` `prod-exp`
7×	`cbrt-unprod`
6×	`add-log-exp`
4×	`unpow-prod-down` `associate-l` `associate-/r/` `unswap-sqr`
3×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `associate-/r` `flip--` `associate-/l`
2×	`*-commutative` `div-inv` `unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `frac-2neg` `diff-log` `associate-*r/` `pow-exp` `clear-num`

Counts

4 → 103

Calls

4 calls:

13.0ms	(* 2.0 (pow z 2))
10.0ms	(- (* 2.0 (pow z 2)) (* t y))
51.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
26.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

series399.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* 2.0 (pow z 2))
70.0ms	(- (* 2.0 (pow z 2)) (* t y))
219.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
73.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify1.2s

Counts: 115 → 115

prune403.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 3.2b

regimes500.0ms

Accuracy

45.3% (1.1b remaining)

Error of 5.5b against oracle of 4.4b and baseline of 6.4b

bsearch3.0ms

simplify1.8s

end0.0ms

sample1.1s

Algorithm

intervals

Results

685.0ms

8000×

body

valid