Details

sample34.0ms

Algorithm

intervals

Results

16.0ms

321×

body

valid

simplify796.0ms

Counts: 1 → 1

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.7b

localize13.0ms

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))
9.6b	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite147.0ms

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:

60.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
35.0ms	(* (* z 2.0) (- 1.0 t))
48.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series234.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
56.0ms	(* (* z 2.0) (- 1.0 t))
108.0ms	(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify931.0ms

Counts: 71 → 71

prune257.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

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)
0.1b	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite223.0ms

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:

100.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
38.0ms	(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
82.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series169.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
43.0ms	(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
55.0ms	(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify804.0ms

Counts: 85 → 85

prune284.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
0.0b	(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)
0.0b	(+ (/ 2.0 (* t z)) (/ 2.0 t))
0.6b	(/ 2.0 (* t z))

rewrite763.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

451.0ms	(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
238.0ms	(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)
54.0ms	(+ (/ 2.0 (* t z)) (/ 2.0 t))
16.0ms	(/ 2.0 (* t z))

series242.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
50.0ms	(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)
63.0ms	(+ (/ 2.0 (* t z)) (/ 2.0 t))
28.0ms	(/ 2.0 (* t z))

simplify586.0ms

Counts: 86 → 86

prune258.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

3.4b	(* x (* t z))
3.8b	(* y (+ 2.0 (* (* z 2.0) (- 1.0 t))))
3.9b	(* y (* t z))
22.3b	(/ (+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t))))) (* y (* t z)))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
9×	`associate-l`
7×	`pow-prod-down`
5×	`associate-r`
4×	`add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `-commutative` `associate-/l`
2×	`flip3-+` `associate-*r/` `flip-+` `associate-/l/`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num` `associate-/r*` `div-inv` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

34.0ms	(* x (* t z))
18.0ms	(* y (+ 2.0 (* (* z 2.0) (- 1.0 t))))
18.0ms	(* y (* t z))
97.0ms	(/ (+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t))))) (* y (* t z)))

series435.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* x (* t z))
87.0ms	(* y (+ 2.0 (* (* z 2.0) (- 1.0 t))))
31.0ms	(* y (* t z))
288.0ms	(/ (+ (* x (* t z)) (* y (+ 2.0 (* (* z 2.0) (- 1.0 t))))) (* y (* t z)))

simplify1.2s

Counts: 95 → 95

prune345.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes125.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify309.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

939.0ms

10566×

body

valid