Details

sample47.0ms

Algorithm

intervals

Results

18.0ms

283×

body

valid

simplify580.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) (- a t)))
10.9b	(/ (* y (- z t)) (- a t))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `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` `associate-/l/`
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 → 67

Calls

3 calls:

38.0ms	(* y (- z t))
28.0ms	(+ x (/ (* y (- z t)) (- a t)))
26.0ms	(/ (* y (- z t)) (- a t))

series263.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* y (- z t))
131.0ms	(+ x (/ (* y (- z t)) (- a t)))
86.0ms	(/ (* y (- z t)) (- a t))

simplify671.0ms

Counts: 76 → 76

prune264.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

102.0ms	(+ x (/ y (/ (- a t) (- z t))))
32.0ms	(/ (- a t) (- z t))
55.0ms	(/ y (/ (- a t) (- z t)))

series450.0ms

Counts

3 → 9

Calls

3 calls:

162.0ms	(+ x (/ y (/ (- a t) (- z t))))
71.0ms	(/ (- a t) (- z t))
216.0ms	(/ y (/ (- a t) (- z t)))

simplify1.2s

Counts: 215 → 215

prune737.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ y (- a t)) (- z t)))
0.0b	(/ y (- a t))
11.9b	(* (/ y (- a t)) (- z t))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 102

Calls

3 calls:

15.0ms	(+ x (* (/ y (- a t)) (- z t)))
22.0ms	(/ y (- a t))
71.0ms	(* (/ y (- a t)) (- z t))

series409.0ms

Counts

3 → 9

Calls

3 calls:

159.0ms	(+ x (* (/ y (- a t)) (- z t)))
35.0ms	(/ y (- a t))
214.0ms	(* (/ y (- a t)) (- z t))

simplify751.0ms

Counts: 111 → 111

prune340.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.2b	(/ (- a t) (sqrt (- z t)))
0.9b	(/ y (/ (- a t) (sqrt (- z t))))
2.3b	(* (sqrt (- z t)) (/ y (/ (- a t) (sqrt (- z t)))))

rewrite358.0ms

Algorithm

rewrite-expression-head

Rules

606×	`times-frac`
493×	`add-sqr-sqrt`
467×	`*-un-lft-identity`
253×	`add-cube-cbrt`
216×	`sqrt-prod`
143×	`associate-r`
107×	`distribute-lft-out--` `difference-of-squares`
54×	`associate-/r*`
20×	`sqrt-div`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-/r/`
11×	`flip3--` `flip--`
10×	`div-inv`
8×	`associate-l` `associate-/l*` `unswap-sqr`
7×	`cbrt-undiv` `div-exp`
5×	`pow1`
3×	`prod-exp` `cbrt-unprod` `add-log-exp`
2×	`frac-times` `frac-2neg` `associate-*l/` `clear-num` `associate-/l/`
1×	`div-sub` `associate-r/` `pow-prod-down` `-commutative`

Counts

3 → 451

Calls

3 calls:

27.0ms	(/ (- a t) (sqrt (- z t)))
56.0ms	(/ y (/ (- a t) (sqrt (- z t))))
208.0ms	(* (sqrt (- z t)) (/ y (/ (- a t) (sqrt (- z t)))))

series351.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(/ (- a t) (sqrt (- z t)))
124.0ms	(/ y (/ (- a t) (sqrt (- z t))))
108.0ms	(* (sqrt (- z t)) (/ y (/ (- a t) (sqrt (- z t)))))

simplify730.0ms

Counts: 460 → 460

prune1.8s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes147.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify604.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

631.0ms	8764×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	1×	body	320	valid