Details

sample45.0ms

Algorithm

intervals

Results

13.0ms	246×	body	80	valid
3.0ms	14×	body	640	valid
2.0ms	15×	body	320	valid
2.0ms	7×	body	1280	valid
1.0ms	9×	body	160	valid

simplify1.0s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.7b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
2.8b	(+ x (/ (* (- y x) (- z t)) (- a t)))
15.8b	(/ (* (- y x) (- z t)) (- a t))

rewrite123.0ms

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:

52.0ms	(* (- y x) (- z t))
24.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
43.0ms	(/ (* (- y x) (- z t)) (- a t))

series392.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* (- y x) (- z t))
216.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
136.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify817.0ms

Counts: 90 → 90

prune283.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.4b	(/ (- y x) (/ (- a t) (- z t)))
2.8b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite221.0ms

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:

25.0ms	(/ (- a t) (- z t))
63.0ms	(/ (- y x) (/ (- a t) (- z t)))
116.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series503.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (- a t) (- z t))
233.0ms	(/ (- y x) (/ (- a t) (- z t)))
212.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify1.4s

Counts: 283 → 283

prune755.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.2b	(* (- a t) (/ 1 (- z t)))
2.4b	(/ (- y x) (* (- a t) (/ 1 (- z t))))
4.5b	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
37×	`times-frac`
32×	`add-exp-log`
26×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-cbrt-cube`
11×	`div-exp`
10×	`associate-/r/` `distribute-lft-out--` `difference-of-squares`
8×	`prod-exp` `associate-/l*`
7×	`pow1` `flip3--` `flip--`
6×	`cbrt-undiv` `associate-/r*` `add-log-exp`
5×	`associate-l`
4×	`frac-times` `associate-*l/` `cbrt-unprod`
3×	`rec-exp` `1-exp` `div-inv` `unswap-sqr`
2×	`frac-2neg` `div-sub` `associate-*r/` `clear-num` `un-div-inv` `associate-/l/`
1×	`+-commutative` `associate-+r-` `pow-flip` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `inv-pow`

Counts

4 → 142

Calls

4 calls:

20.0ms	(/ 1 (- z t))
78.0ms	(* (- a t) (/ 1 (- z t)))
50.0ms	(/ (- y x) (* (- a t) (/ 1 (- z t))))
50.0ms	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

series644.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ 1 (- z t))
76.0ms	(* (- a t) (/ 1 (- z t)))
277.0ms	(/ (- y x) (* (- a t) (/ 1 (- z t))))
233.0ms	(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))

simplify930.0ms

Counts: 154 → 154

prune412.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (- a t))
4.0b	(+ x (- (* (/ y (- a t)) (- z t)) (* (/ x (- a t)) (- z t))))
9.5b	(* (/ x (- a t)) (- z t))
11.9b	(* (/ y (- a t)) (- z t))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 157

Calls

4 calls:

12.0ms	(/ y (- a t))
79.0ms	(+ x (- (* (/ y (- a t)) (- z t)) (* (/ x (- a t)) (- z t))))
46.0ms	(* (/ x (- a t)) (- z t))
50.0ms	(* (/ y (- a t)) (- z t))

series624.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ y (- a t))
210.0ms	(+ x (- (* (/ y (- a t)) (- z t)) (* (/ x (- a t)) (- z t))))
190.0ms	(* (/ x (- a t)) (- z t))
192.0ms	(* (/ y (- a t)) (- z t))

simplify1.0s

Counts: 169 → 169

prune540.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.0b

regimes292.0ms

Accuracy

15% (6.5b remaining)

Error of 10.6b against oracle of 4.1b and baseline of 11.8b

bsearch150.0ms

Steps

Iters	Range		Point
7	1.270532878618462e-164	1.8595605403829251e-162	1.686242959618627e-164
10	-9.075518483702745e-141	-5.89973422929116e-153	-6.805182156168845e-149

simplify1.9s

end0.0ms

sample1.7s

Algorithm

intervals

Results

903.0ms	7820×	body	80	valid
90.0ms	482×	body	640	valid
85.0ms	432×	body	320	valid
60.0ms	249×	body	1280	valid
25.0ms	262×	body	160	valid
6.0ms	20×	body	2560	valid