Details

sample35.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify417.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.5b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.7b	(- (* (* z 2.0) z) (* y t))
20.3b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite169.0ms

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:

90.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
20.0ms	(- (* (* z 2.0) z) (* y t))
56.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series410.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
49.0ms	(- (* (* z 2.0) z) (* y t))
260.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify746.0ms

Counts: 60 → 60

prune219.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.7b	(- (* (* z 2.0) z) (* y t))
4.4b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.8b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

64.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
22.0ms	(- (* (* z 2.0) z) (* y t))
38.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
53.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series492.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
48.0ms	(- (* (* z 2.0) z) (* y t))
242.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
80.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify796.0ms

Counts: 114 → 114

prune412.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.4b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
4.4b	(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))
4.8b	(/ (* t y) z)

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

41.0ms	(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
45.0ms	(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))
11.0ms	(/ (* t y) z)

series390.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
250.0ms	(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))
22.0ms	(/ (* t y) z)

simplify554.0ms

Counts: 67 → 67

prune220.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.9b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* y 2.0) (- (* 2.0 z) (* t (/ y z)))))
4.4b	(/ (* y 2.0) (- (* 2.0 z) (* t (/ y z))))
4.9b	(* t (/ y z))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

44.0ms	(- x (/ (* y 2.0) (- (* 2.0 z) (* t (/ y z)))))
19.0ms	(/ (* y 2.0) (- (* 2.0 z) (* t (/ y z))))
21.0ms	(* t (/ y z))

series401.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(- x (/ (* y 2.0) (- (* 2.0 z) (* t (/ y z)))))
260.0ms	(/ (* y 2.0) (- (* 2.0 z) (* t (/ y z))))
30.0ms	(* t (/ y z))

simplify611.0ms

Counts: 78 → 78

prune215.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.9b

regimes204.0ms

Accuracy

0% (1.7b remaining)

Error of 2.5b against oracle of 0.7b and baseline of 2.5b

bsearch0.0ms

simplify801.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

8000×

body

valid