Details

sample30.0ms

Algorithm

intervals

Results

15.0ms

280×

body

valid

simplify130.0ms

Counts: 1 → 1

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
23×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r*`
7×	`cbrt-undiv` `div-exp`
6×	`div-inv`
5×	`pow1` `associate-r`
4×	`associate-r/` `associate-/l`
3×	`associate-l` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `flip3--` `frac-2neg` `distribute-lft-in` `clear-num` `flip--` `associate-/l/`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 97

Calls

3 calls:

22.0ms	(/ (* z (- y t)) 2.0)
21.0ms	(* z (- y t))
13.0ms	(/ x (/ (* z (- y t)) 2.0))

series168.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(/ (* z (- y t)) 2.0)
42.0ms	(* z (- y t))
50.0ms	(/ x (/ (* z (- y t)) 2.0))

simplify649.0ms

Counts: 106 → 106

prune244.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (/ (- y t) 2.0))
4.7b	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

243×	`times-frac`
184×	`add-sqr-sqrt`
157×	`*-un-lft-identity`
112×	`add-cube-cbrt`
62×	`associate-r`
46×	`add-exp-log`
28×	`add-cbrt-cube`
21×	`div-exp` `distribute-lft-out--` `difference-of-squares`
19×	`associate-/r*`
13×	`associate-l`
12×	`cbrt-undiv` `prod-exp`
10×	`div-inv`
9×	`unswap-sqr`
6×	`cbrt-unprod`
4×	`pow1`
3×	`rec-exp` `1-exp` `associate-/l*`
2×	`associate-/r/` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 208

Calls

2 calls:

22.0ms	(/ x (/ (- y t) 2.0))
74.0ms	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

series119.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ x (/ (- y t) 2.0))
73.0ms	(* (/ 1 z) (/ x (/ (- y t) 2.0)))

simplify1.3s

Counts: 214 → 214

prune600.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (/ (- y t) 2.0))
4.6b	(/ (/ x (/ (- y t) 2.0)) z)

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

711×	`times-frac`
405×	`add-sqr-sqrt` `*-un-lft-identity`
309×	`add-cube-cbrt`
65×	`associate-/l*`
48×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*` `div-inv`
16×	`add-exp-log` `add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 362

Calls

2 calls:

28.0ms	(/ x (/ (- y t) 2.0))
79.0ms	(/ (/ x (/ (- y t) 2.0)) z)

series180.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ x (/ (- y t) 2.0))
124.0ms	(/ (/ x (/ (- y t) 2.0)) z)

simplify752.0ms

Counts: 368 → 368

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* x (sqrt 2.0)) (/ (- y t) (sqrt 2.0)))
0.4b	(* x (sqrt 2.0))
0.5b	(/ (- y t) (sqrt 2.0))
4.6b	(/ (/ (* x (sqrt 2.0)) (/ (- y t) (sqrt 2.0))) z)

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

497×	`times-frac`
262×	`add-sqr-sqrt`
258×	`*-un-lft-identity`
172×	`add-cube-cbrt`
112×	`sqrt-prod`
45×	`associate-/l*`
43×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
38×	`add-exp-log` `add-cbrt-cube`
18×	`cbrt-undiv` `div-exp`
13×	`div-inv`
6×	`pow1` `associate-r`
5×	`prod-exp` `associate-/r/` `cbrt-unprod`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num` `associate-/l/`
2×	`unswap-sqr`
1×	`flip3--` `div-sub` `pow-prod-down` `*-commutative` `flip--`

Counts

4 → 346

Calls

4 calls:

39.0ms	(/ (* x (sqrt 2.0)) (/ (- y t) (sqrt 2.0)))
14.0ms	(* x (sqrt 2.0))
20.0ms	(/ (- y t) (sqrt 2.0))
50.0ms	(/ (/ (* x (sqrt 2.0)) (/ (- y t) (sqrt 2.0))) z)

series625.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(/ (* x (sqrt 2.0)) (/ (- y t) (sqrt 2.0)))
52.0ms	(* x (sqrt 2.0))
125.0ms	(/ (- y t) (sqrt 2.0))
311.0ms	(/ (/ (* x (sqrt 2.0)) (/ (- y t) (sqrt 2.0))) z)

simplify598.0ms

Counts: 358 → 358

prune1.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes153.0ms

Accuracy

55.1% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 5.3b

bsearch61.0ms

Steps

Iters	Range		Point
9	9.573845907245406	377784053.7050093	394.0394498806581
3	-2.749214865790488e-113	-2.0935480501239636e-113	-2.6766541653558765e-113

simplify586.0ms

end0.0ms

sample948.0ms

Algorithm

intervals

Results

487.0ms

8766×

body

valid