Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify129.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize19.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* y 2.0) z)
0.7b	(- (* (* z 2.0) z) (* y t))
17.3b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
5×	`add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-r` `pow-prod-down` `associate-/r*`
2×	`flip3--` `associate-/r/` `flip--`
1×	`sub-neg` `frac-2neg` `diff-log` `associate-l` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

3 → 55

Calls

3 calls:

23.0ms	(* (* y 2.0) z)
32.0ms	(- (* (* z 2.0) z) (* y t))
73.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series338.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* (* y 2.0) z)
52.0ms	(- (* (* z 2.0) z) (* y t))
251.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify59.0ms

Counts: 64 → 64

prune204.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 3.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.7b	(- (* (* z 2.0) z) (* y t))
6.0b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.2b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 88

Calls

3 calls:

31.0ms	(- (* (* z 2.0) z) (* y t))
43.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
73.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series421.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(- (* (* z 2.0) z) (* y t))
270.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
85.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify57.0ms

Counts: 97 → 97

prune334.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.6b

localize17.0ms

Local error

Found 3 expressions with local error:

0.4b	(/ (- (* 2.0 z) (/ (* t y) z)) 2.0)
3.7b	(/ (* t y) z)
5.7b	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 121

Calls

3 calls:

46.0ms	(/ (- (* 2.0 z) (/ (* t y) z)) 2.0)
16.0ms	(/ (* t y) z)
28.0ms	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))

series372.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(/ (- (* 2.0 z) (/ (* t y) z)) 2.0)
32.0ms	(/ (* t y) z)
252.0ms	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))

simplify47.0ms

Counts: 130 → 130

prune412.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 3 expressions with local error:

0.4b	(/ (- (* 2.0 z) (* t (/ y z))) 2.0)
4.4b	(* t (/ y z))
5.7b	(/ y (/ (- (* 2.0 z) (* t (/ y z))) 2.0))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

94×	`times-frac`
66×	`add-sqr-sqrt`
61×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-/r*`
15×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
7×	`div-inv`
6×	`associate-/l*`
5×	`pow1` `cbrt-undiv` `div-exp`
3×	`associate-l` `add-log-exp`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`flip3--` `div-sub` `associate-r/` `pow-prod-down` `associate-/r/` `-commutative` `flip--`

Counts

3 → 132

Calls

3 calls:

21.0ms	(/ (- (* 2.0 z) (* t (/ y z))) 2.0)
18.0ms	(* t (/ y z))
15.0ms	(/ y (/ (- (* 2.0 z) (* t (/ y z))) 2.0))

series284.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(/ (- (* 2.0 z) (* t (/ y z))) 2.0)
22.0ms	(* t (/ y z))
196.0ms	(/ y (/ (- (* 2.0 z) (* t (/ y z))) 2.0))

simplify71.0ms

Counts: 141 → 141

prune495.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

regimes159.0ms

Accuracy

0% (1.7b remaining)

Error of 2.3b against oracle of 0.5b and baseline of 2.3b

bsearch154.0ms

Steps

Iters	Range		Point
6	1.3273336497419229e-17	2.017679358261303e-16	1.4785505117285156e-17
11	-1.5690064782539664e-264	-3.846999933100507e-286	-2.068625767123316e-285

simplify105.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

747.0ms

8000×

body

valid