Details

sample77.0ms

Algorithm

intervals

Results

24.0ms	246×	body	80	valid
5.0ms	19×	body	640	valid
4.0ms	17×	body	320	valid
2.0ms	6×	body	1280	valid
1.0ms	8×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	1598
5	656
4	266
3	103
2	43
1	20
0	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.5b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
2.4b	(+ x (/ (* (- y x) (- z t)) (- a t)))
17.6b	(/ (* (- y x) (- z t)) (- a t))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

34.0ms	(* (- y x) (- z t))
23.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
24.0ms	(/ (* (- y x) (- z t)) (- a t))

series498.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(* (- y x) (- z t))
237.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
188.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify1.6s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1904
1	480
0	162

prune753.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.1b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.1b	(* (- y x) (/ (- z t) (- a t)))
2.4b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite105.0ms

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-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `flip3--` `associate-l` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
2×	`frac-times` `cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 119

Calls

3 calls:

22.0ms	(/ (- z t) (- a t))
69.0ms	(* (- y x) (/ (- z t) (- a t)))
6.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series473.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(/ (- z t) (- a t))
154.0ms	(* (- y x) (/ (- z t) (- a t)))
234.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify1.6s

Counts

128 → 128

Iterations

Iter	Nodes
done	5001
2	1724
1	504
0	183

prune981.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.1b	(/ (- y x) (/ (- a t) (- z t)))
2.4b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite157.0ms

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-cbrt-cube` `add-exp-log` `associate-/l*`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 274

Calls

3 calls:

17.0ms	(/ (- a t) (- z t))
31.0ms	(/ (- y x) (/ (- a t) (- z t)))
94.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series599.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ (- a t) (- z t))
299.0ms	(/ (- y x) (/ (- a t) (- z t)))
237.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify2.7s

Counts

283 → 283

Iterations

Iter	Nodes
done	5000
2	3727
1	1146
0	354

prune1.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.1b	(* (- y x) (/ (- z t) (- a t)))
2.4b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite82.0ms

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-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `flip3--` `associate-l` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
2×	`frac-times` `cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 119

Calls

3 calls:

18.0ms	(/ (- z t) (- a t))
54.0ms	(* (- y x) (/ (- z t) (- a t)))
6.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series395.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(/ (- z t) (- a t))
140.0ms	(* (- y x) (/ (- z t) (- a t)))
182.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify1.4s

Counts

128 → 128

Iterations

Iter	Nodes
done	5001
2	1724
1	504
0	183

prune523.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 6.0b

regimes833.0ms

Accuracy

39.2% (4.8b remaining)

Error of 8.8b against oracle of 4.0b and baseline of 11.9b

bsearch2.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	36
1	36
0	26

end0.0ms

sample1.6s

Algorithm

intervals

Results

550.0ms	7782×	body	80	valid
219.0ms	518×	body	640	valid
77.0ms	288×	body	1280	valid
62.0ms	376×	body	320	valid
53.0ms	251×	body	160	valid
3.0ms	11×	body	2560	valid