Details

sample58.0ms

Algorithm

intervals

Results

29.0ms

339×

body

valid

simplify691.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
8.4b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

34.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
45.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series149.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
74.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify554.0ms

Counts: 42 → 42

prune178.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
0.0b	(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
0.4b	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 76

Calls

3 calls:

116.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
46.0ms	(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
69.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series184.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
46.0ms	(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
54.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify805.0ms

Counts: 85 → 85

prune290.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (+ (/ 2.0 z) 2.0) t) (/ x y))
0.4b	(/ (+ (/ 2.0 z) 2.0) t)

rewrite235.0ms

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:

158.0ms	(+ (/ (+ (/ 2.0 z) 2.0) t) (/ x y))
74.0ms	(/ (+ (/ 2.0 z) 2.0) t)

series161.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(+ (/ (+ (/ 2.0 z) 2.0) t) (/ x y))
73.0ms	(/ (+ (/ 2.0 z) 2.0) t)

simplify849.0ms

Counts: 54 → 54

prune198.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) t) (- (/ 2.0 z) 2.0)) 2.0)
0.3b	(* (/ 2.0 z) (/ 2.0 z))
4.5b	(/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) t)
9.7b	(/ (/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) t) (- (/ 2.0 z) 2.0))

rewrite582.0ms

Algorithm

rewrite-expression-head

Rules

252×	`times-frac`
220×	`add-sqr-sqrt`
150×	`*-un-lft-identity`
114×	`add-cube-cbrt`
62×	`difference-of-squares`
23×	`add-exp-log` `add-cbrt-cube`
20×	`associate-/l*`
18×	`distribute-lft-out--`
13×	`swap-sqr` `associate-r` `associate-l` `div-inv`
11×	`pow1`
9×	`associate-/r*`
8×	`cbrt-undiv` `div-exp`
6×	`add-log-exp`
5×	`div-sub`
4×	`prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`flip3--` `flip--` `associate-/l/`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`associate--l-` `pow2` `frac-times` `sub-neg` `pow-plus` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 254

Calls

4 calls:

366.0ms	(- (/ (/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) t) (- (/ 2.0 z) 2.0)) 2.0)
44.0ms	(* (/ 2.0 z) (/ 2.0 z))
53.0ms	(/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) t)
89.0ms	(/ (/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) t) (- (/ 2.0 z) 2.0))

series305.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(- (/ (/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) t) (- (/ 2.0 z) 2.0)) 2.0)
31.0ms	(* (/ 2.0 z) (/ 2.0 z))
76.0ms	(/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) t)
99.0ms	(/ (/ (- (* (/ 2.0 z) (/ 2.0 z)) (* 2.0 2.0)) t) (- (/ 2.0 z) 2.0))

simplify1.9s

Counts: 266 → 266

prune1.0s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes231.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify216.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.0s

10516×

body

valid