Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

283×

body

valid

simplify521.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	32	11
3	56	11
4	90	11
5	123	11
6	150	11
7	176	11
8	219	11
9	285	11
10	374	11
11	420	11
12	497	11
13	518	11
done	518	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- a t)))
0.0b	(* y (- z t))
11.7b	(/ (* y (- z t)) (- a t))

rewrite37.0ms

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:

14.0ms	(+ x (/ (* y (- z t)) (- a t)))
10.0ms	(* y (- z t))
10.0ms	(/ (* y (- z t)) (- a t))

series184.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(+ x (/ (* y (- z t)) (- a t)))
38.0ms	(* y (- z t))
65.0ms	(/ (* y (- z t)) (- a t))

simplify1.5s

Counts

76 → 76

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	128	846
1	334	793
2	1033	715
3	4298	715
done	5001	713

prune181.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.4b	(* y (/ (- z t) (- a t)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `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 → 113

Calls

3 calls:

2.0ms	(+ x (* y (/ (- z t) (- a t))))
11.0ms	(/ (- z t) (- a t))
28.0ms	(* y (/ (- z t) (- a t)))

series189.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(+ x (* y (/ (- z t) (- a t))))
46.0ms	(/ (- z t) (- a t))
67.0ms	(* y (/ (- z t) (- a t)))

simplify1.4s

Counts

122 → 122

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	162	1555
1	422	1454
2	1123	1368
3	3611	1368
done	5001	1366

prune278.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* 1 (* (- z t) (/ y (- a t)))))
0.0b	(/ y (- a t))
12.1b	(* (- z t) (/ y (- a t)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 95

Calls

3 calls:

3.0ms	(+ x (* 1 (* (- z t) (/ y (- a t)))))
5.0ms	(/ y (- a t))
27.0ms	(* (- z t) (/ y (- a t)))

series166.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ x (* 1 (* (- z t) (/ y (- a t)))))
28.0ms	(/ y (- a t))
65.0ms	(* (- z t) (/ y (- a t)))

simplify614.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (137.0ms)

Iter	Nodes	Cost
0	158	1260
1	379	1149
2	1337	1071
done	5002	1071

prune261.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (- a t) (* y (- z t)))))
0.0b	(* y (- z t))
0.4b	(/ 1 (/ (- a t) (* y (- z t))))
11.7b	(/ (- a t) (* y (- z t)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac`
45×	`*-un-lft-identity`
44×	`add-sqr-sqrt`
32×	`add-exp-log`
28×	`add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-r/` `associate-/r`
11×	`associate-/r/`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `flip3--` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares`
6×	`add-log-exp`
5×	`associate-r` `prod-exp`
3×	`rec-exp` `1-exp` `associate-l` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `clear-num` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `inv-pow` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

21.0ms	(+ x (/ 1 (/ (- a t) (* y (- z t)))))
10.0ms	(* y (- z t))
15.0ms	(/ 1 (/ (- a t) (* y (- z t))))
11.0ms	(/ (- a t) (* y (- z t)))

series423.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(+ x (/ 1 (/ (- a t) (* y (- z t)))))
37.0ms	(* y (- z t))
159.0ms	(/ 1 (/ (- a t) (* y (- z t))))
60.0ms	(/ (- a t) (* y (- z t)))

simplify620.0ms

Counts

153 → 153

Iterations

Useful iterations: done (616.0ms)

Iter	Nodes	Cost
0	218	2203
1	533	1974
2	1510	1724
done	5001	1708

prune286.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes146.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample526.0ms

Algorithm

intervals

Results

271.0ms	8727×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid