Details

sample46.0ms

Algorithm

intervals

Results

19.0ms

358×

body

valid

simplify500.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite123.0ms

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:

121.0ms

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

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

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

simplify1.1s

Counts: 33 → 33

prune69.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))
0.0b	(+ (/ y t) (/ x t))
0.0b	(- (+ (/ y t) (/ x t)) (/ z t))

rewrite733.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 77

Calls

3 calls:

492.0ms	(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))
31.0ms	(+ (/ y t) (/ x t))
206.0ms	(- (+ (/ y t) (/ x t)) (/ z t))

series121.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* 0.5 (- (+ (/ y t) (/ x t)) (/ z t)))
38.0ms	(+ (/ y t) (/ x t))
29.0ms	(- (+ (/ y t) (/ x t)) (/ z t))

simplify595.0ms

Counts: 86 → 86

prune295.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

25.0ms	(/ (+ x y) (* t 2.0))
100.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

series94.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ (+ x y) (* t 2.0))
46.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

simplify1.3s

Counts: 50 → 50

prune191.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (/ y t) (/ x t))) (cbrt (+ (/ y t) (/ x t))))
3.5b	(cbrt (+ (/ y t) (/ x t)))
3.5b	(cbrt (+ (/ y t) (/ x t)))
3.5b	(cbrt (+ (/ y t) (/ x t)))

rewrite346.0ms

Algorithm

rewrite-expression-head

Rules

91×	`*-un-lft-identity`
64×	`cbrt-prod`
42×	`times-frac`
37×	`add-sqr-sqrt`
33×	`cbrt-div`
30×	`distribute-lft-out`
29×	`add-cube-cbrt`
14×	`div-inv`
13×	`swap-sqr`
11×	`pow1` `flip3-+` `associate-r` `associate-l` `frac-add` `flip-+`
9×	`frac-times` `pow1/3`
7×	`distribute-rgt-out`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-r/` `associate-l/`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 129

Calls

4 calls:

238.0ms	(* (cbrt (+ (/ y t) (/ x t))) (cbrt (+ (/ y t) (/ x t))))
29.0ms	(cbrt (+ (/ y t) (/ x t)))
37.0ms	(cbrt (+ (/ y t) (/ x t)))
30.0ms	(cbrt (+ (/ y t) (/ x t)))

series590.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (cbrt (+ (/ y t) (/ x t))) (cbrt (+ (/ y t) (/ x t))))
140.0ms	(cbrt (+ (/ y t) (/ x t)))
141.0ms	(cbrt (+ (/ y t) (/ x t)))
154.0ms	(cbrt (+ (/ y t) (/ x t)))

simplify2.1s

Counts: 141 → 141

prune605.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes268.0ms

Accuracy

-520.2% (0.3b remaining)

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

bsearch0.0ms

simplify1.3s

end0.0ms

sample1.5s

Algorithm

intervals

Results

874.0ms

10904×

body

valid