Details

sample44.0ms

Algorithm

intervals

Results

12.0ms	234×	body	80	valid
3.0ms	16×	body	640	valid
3.0ms	12×	body	1280	valid
2.0ms	15×	body	320	valid
1.0ms	9×	body	160	valid
0.0ms	1×	body	2560	valid

simplify8.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	22	13
2	52	13
3	107	13
4	186	13
5	380	13
6	529	13
7	668	13
8	820	13
9	969	13
10	1222	13
11	1531	13
12	2279	13
13	3564	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
2.9b	(- (+ x y) (/ (* (- z t) y) (- a t)))
12.7b	(/ (* (- z t) y) (- a t))

rewrite164.0ms

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:

36.0ms	(* (- z t) y)
80.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
44.0ms	(/ (* (- z t) y) (- a t))

series267.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* (- z t) y)
145.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
90.0ms	(/ (* (- z t) y) (- a t))

simplify1.1s

Counts

79 → 79

Iterations

Useful iterations: 2 (230.0ms)

Iter	Nodes	Cost
0	150	1010
1	382	951
2	1543	873
done	5000	873

prune233.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.7b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
3.3b	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
9.7b	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

rewrite207.0ms

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:

5.0ms	(cbrt (- a t))
5.0ms	(cbrt (- a t))
144.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
46.0ms	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

series757.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(cbrt (- a t))
217.0ms	(cbrt (- a t))
145.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
183.0ms	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

simplify2.0s

Counts

139 → 139

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	274	3197
1	764	3031
2	2854	2480
done	5001	2289

prune647.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.7b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
10.9b	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (* (cbrt y) (cbrt y))) (/ (cbrt y) (cbrt (- a t)))))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-*l/` `frac-sub`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`frac-times` `diff-log` `associate-*r/`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
120.0ms	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (* (cbrt y) (cbrt y))) (/ (cbrt y) (cbrt (- a t)))))

series1.0s

Counts

4 → 12

Calls

4 calls:

274.0ms	(cbrt y)
283.0ms	(cbrt y)
217.0ms	(cbrt y)
230.0ms	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (* (cbrt y) (cbrt y))) (/ (cbrt y) (cbrt (- a t)))))

simplify1.2s

Counts

65 → 65

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	107	1268
1	281	1213
2	1099	1001
done	5000	890

prune363.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.7b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
9.9b	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (cbrt (- a t))) (cbrt (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

14×	`frac-sub`
10×	`frac-times` `associate-*l/`
9×	`cbrt-prod` `add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `flip-+`
6×	`associate-*r/`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
2×	`diff-log`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--`

Counts

4 → 61

Calls

4 calls:

2.0ms	(cbrt y)
2.0ms	(cbrt y)
2.0ms	(cbrt y)
89.0ms	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (cbrt (- a t))) (cbrt (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

series872.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(cbrt y)
232.0ms	(cbrt y)
201.0ms	(cbrt y)
215.0ms	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (cbrt (- a t))) (cbrt (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

simplify1.1s

Counts

73 → 73

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	151	2300
1	428	2216
2	1800	1646
done	5000	1492

prune401.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 4.7b

regimes495.0ms

Accuracy

25.1% (5.6b remaining)

Error of 10.0b against oracle of 4.4b and baseline of 11.9b

bsearch135.0ms

Steps

Iters	Range		Point
8	9.740644972667289e-27	7.715974239653845e-24	1.1325476279686525e-26
8	-2.0516827023024987e-114	-3.3467573401782356e-118	-3.022383678732151e-117

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	101
1	39	101
done	39	101

end0.0ms

sample1.6s

Algorithm

intervals

Results

656.0ms	7307×	body	80	valid
134.0ms	470×	body	640	valid
76.0ms	276×	body	1280	valid
68.0ms	403×	body	320	valid
60.0ms	272×	body	160	valid
5.0ms	15×	body	2560	valid