Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	21
1	32	21
2	70	21
3	130	21
4	280	21
5	500	21
6	827	21
7	1732	21
8	3546	21
done	5000	21

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.6b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.8b	(+ (* (+ x y) z) (* (+ t y) a))
23.3b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

11.0ms	(* (+ t y) a)
33.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
75.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series920.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ t y) a)
96.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
45.0ms	(+ (* (+ x y) z) (* (+ t y) a))
758.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify597.0ms

Counts

102 → 102

Iterations

Useful iterations: 2 (148.0ms)

Iter	Nodes	Cost
0	177	2307
1	530	2201
2	2122	2077
done	5000	2077

prune307.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.6b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.6b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.8b	(+ (* (+ x y) z) (* (+ t y) a))
23.4b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
24×	`associate-r`
17×	`times-frac`
16×	`add-cube-cbrt`
15×	`add-exp-log`
12×	`associate-*l/`
11×	`add-cbrt-cube` `add-log-exp`
10×	`distribute-lft-out`
8×	`pow1`
7×	`flip3-+` `associate-l` `flip-+`
5×	`prod-exp`
4×	`frac-add` `unswap-sqr`
3×	`flip3--` `flip--` `cbrt-unprod`
2×	`frac-times` `diff-log` `div-exp` `pow-prod-down` `sum-log` `associate-/r/` `*-commutative`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `rec-exp` `1-exp` `associate-*r/` `associate--l+` `un-div-inv` `div-inv`

Counts

4 → 98

Calls

4 calls:

10.0ms	(* (+ t y) a)
34.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
129.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series740.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (+ t y) a)
94.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
45.0ms	(+ (* (+ x y) z) (* (+ t y) a))
576.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify875.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (189.0ms)

Iter	Nodes	Cost
0	204	2415
1	618	2231
2	2605	2015
done	5000	2015

prune296.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.6b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.8b	(+ (* (+ x y) z) (* (+ t y) a))
23.3b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

9.0ms	(* (+ t y) a)
32.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
74.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series731.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ t y) a)
95.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
49.0ms	(+ (* (+ x y) z) (* (+ t y) a))
567.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify583.0ms

Counts

102 → 102

Iterations

Useful iterations: 2 (143.0ms)

Iter	Nodes	Cost
0	177	2307
1	530	2201
2	2122	2077
done	5000	2077

prune299.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.6b

localize18.0ms

Local error

Found 4 expressions with local error:

20.6b	(cbrt (+ (* (+ x y) z) (* (+ t y) a)))
20.6b	(cbrt (+ (* (+ x y) z) (* (+ t y) a)))
20.6b	(cbrt (+ (* (+ x y) z) (* (+ t y) a)))
23.3b	(/ (- (* (* (cbrt (+ (* (+ x y) z) (* (+ t y) a))) (cbrt (+ (* (+ x y) z) (* (+ t y) a)))) (cbrt (+ (* (+ x y) z) (* (+ t y) a)))) (* y b)) (+ (+ x t) y))

rewrite240.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
24×	`associate-*l/`
18×	`cbrt-div`
17×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`flip3-+` `flip-+`
15×	`times-frac`
12×	`frac-add` `distribute-lft-out`
9×	`cbrt-prod`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r*`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/l*`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `div-inv`

Counts

4 → 91

Calls

4 calls:

6.0ms	(cbrt (+ (* (+ x y) z) (* (+ t y) a)))
5.0ms	(cbrt (+ (* (+ x y) z) (* (+ t y) a)))
5.0ms	(cbrt (+ (* (+ x y) z) (* (+ t y) a)))
221.0ms	(/ (- (* (* (cbrt (+ (* (+ x y) z) (* (+ t y) a))) (cbrt (+ (* (+ x y) z) (* (+ t y) a)))) (cbrt (+ (* (+ x y) z) (* (+ t y) a)))) (* y b)) (+ (+ x t) y))

series1.3s

Counts

4 → 12

Calls

4 calls:

243.0ms	(cbrt (+ (* (+ x y) z) (* (+ t y) a)))
240.0ms	(cbrt (+ (* (+ x y) z) (* (+ t y) a)))
237.0ms	(cbrt (+ (* (+ x y) z) (* (+ t y) a)))
578.0ms	(/ (- (* (* (cbrt (+ (* (+ x y) z) (* (+ t y) a))) (cbrt (+ (* (+ x y) z) (* (+ t y) a)))) (cbrt (+ (* (+ x y) z) (* (+ t y) a)))) (* y b)) (+ (+ x t) y))

simplify505.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (148.0ms)

Iter	Nodes	Cost
0	191	4696
1	532	4592
2	1889	2957
done	5001	2957

prune448.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 5.6b

regimes529.0ms

Accuracy

46.7% (9.4b remaining)

Error of 17.8b against oracle of 8.5b and baseline of 26.1b

bsearch3.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	26	77
1	41	73
2	45	73
done	45	73

end0.0ms

sample623.0ms

Algorithm

intervals

Results

356.0ms	7998×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid