Details

sample65.0ms

Algorithm

intervals

Results

18.0ms	232×	body	80	valid
5.0ms	18×	body	640	valid
4.0ms	16×	body	320	valid
3.0ms	7×	body	1280	valid
0.0ms	3×	body	160	valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	22	13
2	52	13
3	108	13
4	222	13
5	641	13
6	3016	13
done	5001	13

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.1b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
0.9b	(- (+ x y) (/ (* (- z t) y) (- a t)))
11.4b	(/ (* (- z t) y) (- a t))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

46.0ms	(* (- z t) y)
109.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
44.0ms	(/ (* (- z t) y) (- a t))

series398.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(* (- z t) y)
223.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
115.0ms	(/ (* (- z t) y) (- a t))

simplify2.2s

Counts

79 → 79

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	150	1010
1	392	951
2	1972	879
done	5004	873

prune685.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.3b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
4.4b	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
7.0b	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
36×	`times-frac`
35×	`*-un-lft-identity`
30×	`associate-r`
27×	`cbrt-prod`
25×	`add-exp-log`
23×	`add-cube-cbrt`
18×	`cbrt-div` `add-cbrt-cube`
17×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
9×	`add-log-exp`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `frac-times` `div-exp`
6×	`pow1` `frac-sub` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
5×	`associate-r/` `associate-l/`
3×	`flip3-+` `flip-+`
2×	`pow1/3` `diff-log` `div-inv`
1×	`sub-neg` `pow-prod-down` `associate--l+` `sum-log` `*-commutative`

Counts

4 → 127

Calls

4 calls:

6.0ms	(cbrt (- a t))
7.0ms	(cbrt (- a t))
230.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
86.0ms	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

series845.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(cbrt (- a t))
234.0ms	(cbrt (- a t))
165.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
202.0ms	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

simplify2.4s

Counts

139 → 139

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	274	3197
1	800	3031
2	3745	2480
done	5002	2295

prune1.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.3b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
2.1b	(- (+ x y) (/ (- z t) (/ (- a t) y)))
11.6b	(/ (- z t) (/ (- a t) y))

rewrite302.0ms

Algorithm

rewrite-expression-head

Rules

203×	`times-frac`
180×	`add-sqr-sqrt`
176×	`*-un-lft-identity`
87×	`add-cube-cbrt`
45×	`difference-of-squares`
44×	`distribute-lft-out--`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `flip3--` `div-sub` `flip--`
2×	`frac-2neg` `diff-log` `clear-num` `frac-sub`
1×	`sub-neg` `flip3-+` `associate--l+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out` `associate--r-`

Counts

3 → 197

Calls

3 calls:

32.0ms	(/ (- a t) y)
188.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
57.0ms	(/ (- z t) (/ (- a t) y))

series452.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ (- a t) y)
221.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
186.0ms	(/ (- z t) (/ (- a t) y))

simplify2.7s

Counts

206 → 206

Iterations

Useful iterations: 2 (890.0ms)

Iter	Nodes	Cost
0	303	3656
1	937	3463
2	4501	3319
done	5000	3319

prune1.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.3b

localize53.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
1.2b	(* (* (cbrt y) (cbrt y)) (/ (- z t) (/ (- a t) (cbrt y))))
6.5b	(- (+ x y) (* (* (cbrt y) (cbrt y)) (/ (- z t) (/ (- a t) (cbrt y)))))
6.6b	(/ (- z t) (/ (- a t) (cbrt y)))

rewrite394.0ms

Algorithm

rewrite-expression-head

Rules

675×	`times-frac`
541×	`add-sqr-sqrt`
532×	`*-un-lft-identity`
262×	`add-cube-cbrt`
175×	`associate-r`
169×	`cbrt-prod`
135×	`distribute-lft-out--` `difference-of-squares`
34×	`associate-/r*`
30×	`add-exp-log`
21×	`add-cbrt-cube`
13×	`div-inv`
9×	`pow1` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`associate-/l*`
4×	`unswap-sqr`
3×	`associate-*r/` `pow-prod-down`
2×	`flip3--` `diff-log` `associate-/r/` `frac-sub` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `flip3-+` `pow1/3` `div-sub` `associate-l` `associate--l+` `clear-num` `sum-log` `*-commutative` `flip-+`

Counts

4 → 457

Calls

4 calls:

2.0ms	(cbrt y)
193.0ms	(* (* (cbrt y) (cbrt y)) (/ (- z t) (/ (- a t) (cbrt y))))
81.0ms	(- (+ x y) (* (* (cbrt y) (cbrt y)) (/ (- z t) (/ (- a t) (cbrt y)))))
55.0ms	(/ (- z t) (/ (- a t) (cbrt y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

329.0ms	(cbrt y)
159.0ms	(* (* (cbrt y) (cbrt y)) (/ (- z t) (/ (- a t) (cbrt y))))
306.0ms	(- (+ x y) (* (* (cbrt y) (cbrt y)) (/ (- z t) (/ (- a t) (cbrt y)))))
301.0ms	(/ (- z t) (/ (- a t) (cbrt y)))

simplify1.9s

Counts

469 → 469

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	528	9800
1	2039	9193
done	5000	8755

prune3.4s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 3.3b

regimes841.0ms

Accuracy

18.4% (5.8b remaining)

Error of 9.8b against oracle of 4.0b and baseline of 11.1b

bsearch191.0ms

Steps

Iters	Range		Point
9	2.2750073524316615e+198	8.413617999943799e+207	1.024400064770089e+201
7	-1.834776734297916e+156	-7.190704333723872e+154	-9.865242998422085e+154

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	23	42
1	30	36
done	30	36

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	7401×	body	80	valid
180.0ms	436×	body	640	valid
93.0ms	251×	body	1280	valid
86.0ms	396×	body	320	valid
38.0ms	260×	body	160	valid
5.0ms	11×	body	2560	valid