Details

sample33.0ms

Algorithm

intervals

Results

10.0ms	269×	body	80	valid
2.0ms	14×	body	640	valid
2.0ms	9×	body	1280	valid
1.0ms	11×	body	320	valid
0.0ms	4×	body	160	valid

simplify53.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
2.1b	(+ x (/ (* (- y x) (- z t)) (- a t)))
14.8b	(/ (* (- y x) (- z t)) (- a t))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

40.0ms	(* (- y x) (- z t))
22.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
44.0ms	(/ (* (- y x) (- z t)) (- a t))

series337.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* (- y x) (- z t))
174.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
125.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify48.0ms

Counts: 90 → 90

prune239.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.9b	(* (- y x) (/ (- z t) (- a t)))
2.1b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 119

Calls

3 calls:

23.0ms	(/ (- z t) (- a t))
66.0ms	(* (- y x) (/ (- z t) (- a t)))
8.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series398.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (- z t) (- a t))
130.0ms	(* (- y x) (/ (- z t) (- a t)))
215.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify51.0ms

Counts: 128 → 128

prune305.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 3.4b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.0b	(/ (- y x) (/ (- a t) (- z t)))
2.1b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
323×	`*-un-lft-identity`
321×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
104×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
15×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 274

Calls

3 calls:

26.0ms	(/ (- a t) (- z t))
39.0ms	(/ (- y x) (/ (- a t) (- z t)))
97.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series462.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ (- a t) (- z t))
222.0ms	(/ (- y x) (/ (- a t) (- z t)))
184.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify96.0ms

Counts: 283 → 283

prune641.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ a (- z t)) (/ t (- z t)))
0.0b	(/ t (- z t))
2.0b	(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))
2.1b	(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))

rewrite455.0ms

Algorithm

rewrite-expression-head

Rules

283×	`*-un-lft-identity`
231×	`times-frac`
211×	`add-sqr-sqrt`
107×	`distribute-lft-out--`
65×	`difference-of-squares`
53×	`add-cube-cbrt`
34×	`associate-/r/`
23×	`associate-/r*`
21×	`distribute-rgt-out--`
18×	`flip3--` `flip--`
16×	`div-inv`
8×	`add-exp-log` `add-cbrt-cube` `associate-/l*` `add-log-exp`
4×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `frac-sub` `associate-/l/` `sub-div`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 211

Calls

4 calls:

84.0ms	(- (/ a (- z t)) (/ t (- z t)))
12.0ms	(/ t (- z t))
127.0ms	(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))
216.0ms	(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))

series482.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (/ a (- z t)) (/ t (- z t)))
49.0ms	(/ t (- z t))
156.0ms	(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))
207.0ms	(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))

simplify69.0ms

Counts: 223 → 223

prune556.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 3.4b

regimes268.0ms

Accuracy

45.2% (4.2b remaining)

Error of 8.5b against oracle of 4.4b and baseline of 12.0b

bsearch1.0ms

simplify1.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

716.0ms	7772×	body	80	valid
126.0ms	425×	body	320	valid
77.0ms	282×	body	1280	valid
69.0ms	473×	body	640	valid
22.0ms	294×	body	160	valid
2.0ms	11×	body	2560	valid