Details

sample41.0ms

Algorithm

intervals

Results

20.0ms	255×	body	80	valid
0.0ms	1×	body	320	valid

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	21
1	32	21
2	71	21
3	183	21
4	580	21
5	2337	21
done	5000	21

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
1.5b	(+ (* (+ x y) z) (* (+ t y) a))
1.6b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
24.2b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite361.0ms

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:

21.0ms	(* (+ x y) z)
23.0ms	(+ (* (+ x y) z) (* (+ t y) a))
102.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
212.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series1.1s

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (+ x y) z)
64.0ms	(+ (* (+ x y) z) (* (+ t y) a))
132.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
845.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify1.0s

Counts

102 → 102

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	179	2307
1	533	2205
2	2538	2079
done	5001	2077

prune366.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- a b))
0.2b	(+ (* y (- a b)) (* a t))
2.0b	(+ (* (+ x y) z) (+ (* y (- a b)) (* a t)))
24.2b	(/ (+ (* (+ x y) z) (+ (* y (- a b)) (* a t))) (+ (+ x t) y))

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

21.0ms	(* y (- a b))
15.0ms	(+ (* y (- a b)) (* a t))
37.0ms	(+ (* (+ x y) z) (+ (* y (- a b)) (* a t)))
149.0ms	(/ (+ (* (+ x y) z) (+ (* y (- a b)) (* a t))) (+ (+ x t) y))

series491.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* y (- a b))
40.0ms	(+ (* y (- a b)) (* a t))
115.0ms	(+ (* (+ x y) z) (+ (* y (- a b)) (* a t)))
298.0ms	(/ (+ (* (+ x y) z) (+ (* y (- a b)) (* a t))) (+ (+ x t) y))

simplify1.1s

Counts

113 → 113

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	185	2566
1	549	2442
2	2723	2304
done	5001	2302

prune344.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (+ x t) y))
0.2b	(+ (* y (- a b)) (* a t))
2.0b	(+ (* (+ x y) z) (+ (* y (- a b)) (* a t)))
24.3b	(* (+ (* (+ x y) z) (+ (* y (- a b)) (* a t))) (/ 1 (+ (+ x t) y)))

rewrite304.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
21×	`associate-r` `distribute-lft-out`
18×	`flip3-+` `associate-*l/` `flip-+`
17×	`add-exp-log`
12×	`frac-add`
11×	`add-cbrt-cube` `add-log-exp`
7×	`pow1`
6×	`frac-times`
5×	`associate-/r*`
4×	`associate-+l+` `div-exp` `prod-exp` `sum-log` `associate-/r/`
3×	`associate-l` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `sub-neg` `rec-exp` `distribute-lft-in` `1-exp` `cbrt-unprod` `div-inv`
1×	`associate-+r+` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 129

Calls

4 calls:

38.0ms	(/ 1 (+ (+ x t) y))
15.0ms	(+ (* y (- a b)) (* a t))
37.0ms	(+ (* (+ x y) z) (+ (* y (- a b)) (* a t)))
208.0ms	(* (+ (* (+ x y) z) (+ (* y (- a b)) (* a t))) (/ 1 (+ (+ x t) y)))

series514.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ 1 (+ (+ x t) y))
37.0ms	(+ (* y (- a b)) (* a t))
114.0ms	(+ (* (+ x y) z) (+ (* y (- a b)) (* a t)))
301.0ms	(* (+ (* (+ x y) z) (+ (* y (- a b)) (* a t))) (/ 1 (+ (+ x t) y)))

simplify3.4s

Counts

141 → 141

Iterations

Useful iterations: 2 (630.0ms)

Iter	Nodes	Cost
0	197	3430
1	644	3145
2	4656	2890
done	5001	2890

prune422.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 7.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (* y (- a b)) (* a t))
0.2b	(/ 1 (/ (+ (+ x t) y) (+ (* (+ x y) z) (+ (* y (- a b)) (* a t)))))
2.0b	(+ (* (+ x y) z) (+ (* y (- a b)) (* a t)))
24.2b	(/ (+ (+ x t) y) (+ (* (+ x y) z) (+ (* y (- a b)) (* a t))))

rewrite306.0ms

Algorithm

rewrite-expression-head

Rules

156×	`*-un-lft-identity`
150×	`times-frac`
76×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`distribute-lft-out`
32×	`flip3-+` `flip-+`
31×	`associate-/r/`
28×	`associate-/r*`
24×	`associate-*l/` `frac-add`
17×	`add-exp-log`
11×	`add-cbrt-cube` `add-log-exp`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
5×	`pow1`
4×	`cbrt-undiv` `associate-+l+` `sum-log`
2×	`+-commutative` `distribute-rgt-in` `sub-neg` `rec-exp` `frac-2neg` `distribute-lft-in` `1-exp` `clear-num` `associate-/l/`
1×	`associate-+r+` `pow-flip` `inv-pow`

Counts

4 → 199

Calls

4 calls:

15.0ms	(+ (* y (- a b)) (* a t))
104.0ms	(/ 1 (/ (+ (+ x t) y) (+ (* (+ x y) z) (+ (* y (- a b)) (* a t)))))
45.0ms	(+ (* (+ x y) z) (+ (* y (- a b)) (* a t)))
131.0ms	(/ (+ (+ x t) y) (+ (* (+ x y) z) (+ (* y (- a b)) (* a t))))

series903.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* y (- a b)) (* a t))
630.0ms	(/ 1 (/ (+ (+ x t) y) (+ (* (+ x y) z) (+ (* y (- a b)) (* a t)))))
116.0ms	(+ (* (+ x y) z) (+ (* y (- a b)) (* a t)))
120.0ms	(/ (+ (+ x t) y) (+ (* (+ x y) z) (+ (* y (- a b)) (* a t))))

simplify1.7s

Counts

211 → 211

Iterations

Useful iterations: 2 (505.0ms)

Iter	Nodes	Cost
0	283	8249
1	830	7663
2	4762	7389
done	5000	7389

prune468.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.3b

regimes597.0ms

Accuracy

85.2% (3.2b remaining)

Error of 7.6b against oracle of 4.3b and baseline of 26.2b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	32	81
1	51	77
done	51	77

end0.0ms

sample1.4s

Algorithm

intervals

Results

921.0ms	7992×	body	80	valid
1.0ms	4×	body	320	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid