Details

sample41.0ms

Algorithm

intervals

Results

22.0ms

256×

body

valid

simplify483.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.5b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
1.3b	(- (* (* z 2.0) z) (* y t))
18.2b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite209.0ms

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:

96.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
32.0ms	(- (* (* z 2.0) z) (* y t))
79.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series411.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
62.0ms	(- (* (* z 2.0) z) (* y t))
229.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify756.0ms

Counts: 60 → 60

prune171.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
1.3b	(- (* (* z 2.0) z) (* y t))
5.0b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
15.2b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite211.0ms

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:

61.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
20.0ms	(- (* (* z 2.0) z) (* y t))
56.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
68.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series482.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
41.0ms	(- (* (* z 2.0) z) (* y t))
254.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
82.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify1.0s

Counts: 114 → 114

prune395.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.3b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 2.0 z) (/ (* t y) z))
0.2b	(/ (- (* 2.0 z) (/ (* t y) z)) 2.0)
4.8b	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))
5.7b	(/ (* t y) z)

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
56×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
19×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv` `associate-/l*`
6×	`cbrt-undiv` `div-exp` `add-log-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num`
2×	`flip3--` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `prod-exp` `associate-/r/` `cbrt-unprod`

Counts

4 → 133

Calls

4 calls:

13.0ms	(- (* 2.0 z) (/ (* t y) z))
36.0ms	(/ (- (* 2.0 z) (/ (* t y) z)) 2.0)
35.0ms	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))
19.0ms	(/ (* t y) z)

series418.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (* 2.0 z) (/ (* t y) z))
66.0ms	(/ (- (* 2.0 z) (/ (* t y) z)) 2.0)
264.0ms	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))
35.0ms	(/ (* t y) z)

simplify860.0ms

Counts: 145 → 145

prune542.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y (/ (- (* 2.0 z) (/ t (/ z y))) 2.0)))
0.2b	(/ (- (* 2.0 z) (/ t (/ z y))) 2.0)
4.8b	(/ t (/ z y))
4.8b	(/ y (/ (- (* 2.0 z) (/ t (/ z y))) 2.0))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
105×	`add-sqr-sqrt`
98×	`*-un-lft-identity`
96×	`add-cube-cbrt`
29×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
11×	`div-inv`
9×	`associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`add-log-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num` `difference-of-squares`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `distribute-lft-out--`

Counts

4 → 186

Calls

4 calls:

69.0ms	(- x (/ y (/ (- (* 2.0 z) (/ t (/ z y))) 2.0)))
79.0ms	(/ (- (* 2.0 z) (/ t (/ z y))) 2.0)
15.0ms	(/ t (/ z y))
49.0ms	(/ y (/ (- (* 2.0 z) (/ t (/ z y))) 2.0))

series465.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(- x (/ y (/ (- (* 2.0 z) (/ t (/ z y))) 2.0)))
88.0ms	(/ (- (* 2.0 z) (/ t (/ z y))) 2.0)
35.0ms	(/ t (/ z y))
226.0ms	(/ y (/ (- (* 2.0 z) (/ t (/ z y))) 2.0))

simplify1.4s

Counts: 198 → 198

prune740.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

regimes251.0ms

Accuracy

0% (0.6b remaining)

Error of 1.1b against oracle of 0.5b and baseline of 1.1b

bsearch0.0ms

simplify1.3s

end0.0ms

sample1.2s

Algorithm

intervals

Results

743.0ms

8000×

body

valid