Details

sample53.0ms

Algorithm

intervals

Results

27.0ms

325×

body

valid

simplify799.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
0.0b	(* (* z 2.0) (- 1.0 t))
10.7b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

52.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
48.0ms	(* (* z 2.0) (- 1.0 t))
43.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series213.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
55.0ms	(* (* z 2.0) (- 1.0 t))
101.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify863.0ms

Counts: 71 → 71

prune226.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
0.2b	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`associate-l`
11×	`add-exp-log` `times-frac`
10×	`add-cube-cbrt`
7×	`add-cbrt-cube` `add-log-exp`
4×	`pow1` `associate-+r+` `associate-r` `prod-exp`
3×	`flip3-+` `flip-+` `unswap-sqr`
2×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `associate-*r/` `div-exp` `frac-add` `associate--l+` `sum-log` `cbrt-unprod` `distribute-lft-out`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `sub-neg` `rec-exp` `flip3--` `diff-log` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv`

Counts

2 → 62

Calls

2 calls:

98.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
72.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series135.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
54.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify889.0ms

Counts: 68 → 68

prune290.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (+ (/ 2.0 z) 2.0) t) (/ x y))
0.2b	(/ (+ (/ 2.0 z) 2.0) t)

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
16×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`distribute-lft-out`
4×	`add-exp-log` `add-cbrt-cube` `associate-/l*` `add-log-exp`
3×	`associate-/r*`
2×	`pow1` `flip3-+` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `frac-add` `clear-num` `sum-log` `div-inv`

Counts

2 → 48

Calls

2 calls:

107.0ms	(+ (/ (+ (/ 2.0 z) 2.0) t) (/ x y))
67.0ms	(/ (+ (/ 2.0 z) 2.0) t)

series122.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(+ (/ (+ (/ 2.0 z) 2.0) t) (/ x y))
52.0ms	(/ (+ (/ 2.0 z) 2.0) t)

simplify954.0ms

Counts: 54 → 54

prune146.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (+ (/ 2.0 z) 2.0))
0.1b	(sqrt (+ (/ 2.0 z) 2.0))
0.3b	(/ t (sqrt (+ (/ 2.0 z) 2.0)))
0.4b	(/ (sqrt (+ (/ 2.0 z) 2.0)) (/ t (sqrt (+ (/ 2.0 z) 2.0))))

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

378×	`times-frac`
306×	`*-un-lft-identity`
232×	`sqrt-prod`
192×	`add-sqr-sqrt`
190×	`add-cube-cbrt`
58×	`distribute-lft-out`
34×	`associate-/r*`
24×	`sqrt-div`
19×	`associate-/r/`
12×	`flip3-+` `flip-+`
11×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv` `associate-/l*`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `associate-/l/`

Counts

4 → 317

Calls

4 calls:

40.0ms	(sqrt (+ (/ 2.0 z) 2.0))
43.0ms	(sqrt (+ (/ 2.0 z) 2.0))
55.0ms	(/ t (sqrt (+ (/ 2.0 z) 2.0)))
99.0ms	(/ (sqrt (+ (/ 2.0 z) 2.0)) (/ t (sqrt (+ (/ 2.0 z) 2.0))))

series315.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(sqrt (+ (/ 2.0 z) 2.0))
47.0ms	(sqrt (+ (/ 2.0 z) 2.0))
152.0ms	(/ t (sqrt (+ (/ 2.0 z) 2.0)))
69.0ms	(/ (sqrt (+ (/ 2.0 z) 2.0)) (/ t (sqrt (+ (/ 2.0 z) 2.0))))

simplify1.5s

Counts: 329 → 329

prune862.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes230.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify253.0ms

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.2s

10381×

body

valid