Details

sample35.0ms

Algorithm

intervals

Results

14.0ms

345×

body

valid

simplify452.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (- (+ x y) z) (* t 2.0))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 30

Calls

1 calls:

117.0ms

(/ (- (+ x y) z) (* t 2.0))

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(/ (- (+ x y) z) (* t 2.0))

simplify1.2s

Counts: 33 → 33

prune94.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite820.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 96

Calls

3 calls:

484.0ms	(* (/ 1.0 2.0) (- (+ (/ y t) (/ x t)) (/ z t)))
288.0ms	(- (+ (/ y t) (/ x t)) (/ z t))
41.0ms	(+ (/ y t) (/ x t))

series95.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* (/ 1.0 2.0) (- (+ (/ y t) (/ x t)) (/ z t)))
26.0ms	(- (+ (/ y t) (/ x t)) (/ z t))
30.0ms	(+ (/ y t) (/ x t))

simplify707.0ms

Counts: 105 → 105

prune334.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

156×	`*-un-lft-identity` `times-frac`
108×	`add-sqr-sqrt`
76×	`add-cube-cbrt`
32×	`distribute-lft-out--`
28×	`associate-/l*`
16×	`distribute-lft-out` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`div-sub` `associate-/l/`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`flip3--` `flip--`

Counts

2 → 149

Calls

2 calls:

75.0ms	(/ (/ (- (+ x y) z) t) 2.0)
87.0ms	(/ (- (+ x y) z) t)

series80.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ (/ (- (+ x y) z) t) 2.0)
37.0ms	(/ (- (+ x y) z) t)

simplify558.0ms

Counts: 155 → 155

prune365.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (+ x y) z))
0.0b	(sqrt (- (+ x y) z))
0.1b	(/ (sqrt (- (+ x y) z)) t)
0.2b	(* (/ (sqrt (- (+ x y) z)) t) (/ (sqrt (- (+ x y) z)) 2.0))

rewrite293.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
112×	`add-sqr-sqrt`
93×	`times-frac`
78×	`sqrt-prod`
56×	`add-cube-cbrt`
31×	`associate-r` `associate-l`
24×	`distribute-lft-out--`
18×	`add-exp-log` `add-cbrt-cube`
12×	`distribute-lft-out` `difference-of-squares`
9×	`associate-/l*` `unswap-sqr`
8×	`pow1`
6×	`sqrt-div`
5×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`flip3--` `associate-/r*` `flip--` `div-inv`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/l/`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

4 → 180

Calls

4 calls:

30.0ms	(sqrt (- (+ x y) z))
31.0ms	(sqrt (- (+ x y) z))
51.0ms	(/ (sqrt (- (+ x y) z)) t)
173.0ms	(* (/ (sqrt (- (+ x y) z)) t) (/ (sqrt (- (+ x y) z)) 2.0))

series245.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(sqrt (- (+ x y) z))
59.0ms	(sqrt (- (+ x y) z))
73.0ms	(/ (sqrt (- (+ x y) z)) t)
47.0ms	(* (/ (sqrt (- (+ x y) z)) t) (/ (sqrt (- (+ x y) z)) 2.0))

simplify928.0ms

Counts: 192 → 192

prune505.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes172.0ms

Accuracy

-862% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.7s

end0.0ms

sample933.0ms

Algorithm

intervals

Results

429.0ms

10755×

body

valid