Details

sample45.0ms

Algorithm

intervals

Results

18.0ms

343×

body

valid

simplify1.7s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(+ x (/ (* (- y x) z) t))
8.3b	(/ (* (- y x) z) t)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

21.0ms	(* (- y x) z)
12.0ms	(+ x (/ (* (- y x) z) t))
27.0ms	(/ (* (- y x) z) t)

series132.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* (- y x) z)
42.0ms	(+ x (/ (* (- y x) z) t))
55.0ms	(/ (* (- y x) z) t)

simplify535.0ms

Counts: 66 → 66

prune143.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
5.2b	(/ (- y x) (/ t z))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
88×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 114

Calls

2 calls:

56.0ms	(+ x (/ (- y x) (/ t z)))
30.0ms	(/ (- y x) (/ t z))

series126.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ x (/ (- y x) (/ t z)))
71.0ms	(/ (- y x) (/ t z))

simplify840.0ms

Counts: 120 → 120

prune404.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ t z) (- y x))))
0.3b	(/ 1 (/ (/ t z) (- y x)))
5.2b	(/ (/ t z) (- y x))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

772×	`times-frac`
462×	`*-un-lft-identity`
459×	`add-sqr-sqrt`
327×	`add-cube-cbrt`
76×	`associate-/r*`
66×	`distribute-lft-out--` `difference-of-squares`
33×	`div-inv`
29×	`add-exp-log`
18×	`div-exp`
17×	`add-cbrt-cube`
16×	`associate-/l*`
11×	`associate-/r/`
9×	`cbrt-undiv`
5×	`flip3--` `flip--` `add-log-exp`
4×	`pow1`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `associate-/l/` `inv-pow`

Counts

3 → 425

Calls

3 calls:

110.0ms	(+ x (/ 1 (/ (/ t z) (- y x))))
48.0ms	(/ 1 (/ (/ t z) (- y x)))
23.0ms	(/ (/ t z) (- y x))

series148.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ x (/ 1 (/ (/ t z) (- y x))))
56.0ms	(/ 1 (/ (/ t z) (- y x)))
50.0ms	(/ (/ t z) (- y x))

simplify682.0ms

Counts: 434 → 434

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (/ (- y x) t) (/ 1 z)))
0.0b	(/ (- y x) t)
6.5b	(/ (/ (- y x) t) (/ 1 z))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

652×	`times-frac`
373×	`*-un-lft-identity`
371×	`add-sqr-sqrt`
279×	`add-cube-cbrt`
46×	`distribute-lft-out--` `difference-of-squares`
36×	`div-inv`
27×	`add-exp-log`
24×	`associate-/l*`
17×	`div-exp` `add-cbrt-cube`
16×	`associate-/r*`
9×	`cbrt-undiv`
5×	`div-sub` `add-log-exp`
3×	`pow1` `associate-/l/`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

3 → 355

Calls

3 calls:

138.0ms	(+ x (/ (/ (- y x) t) (/ 1 z)))
15.0ms	(/ (- y x) t)
35.0ms	(/ (/ (- y x) t) (/ 1 z))

series160.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(+ x (/ (/ (- y x) t) (/ 1 z)))
35.0ms	(/ (- y x) t)
72.0ms	(/ (/ (- y x) t) (/ 1 z))

simplify633.0ms

Counts: 364 → 364

prune943.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes125.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch39.0ms

Steps

Iters	Range		Point
8	-2.2176802701535113e-306	5.101791684156815e-308	3.721695370812968e-308

simplify507.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

478.0ms

10642×

body

valid