Details

sample67.0ms

Algorithm

intervals

Results

30.0ms

256×

body

valid

simplify7.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	21
1	32	21
2	71	21
3	183	21
4	344	21
5	598	21
6	951	21
7	1688	21
8	3191	21
9	4792	21
done	5000	21

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.1b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.5b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.8b	(+ (* (+ x y) z) (* (+ t y) a))
22.5b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite401.0ms

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:

22.0ms	(* (+ t y) a)
90.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
23.0ms	(+ (* (+ x y) z) (* (+ t y) a))
263.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series1.0s

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (+ t y) a)
143.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
67.0ms	(+ (* (+ x y) z) (* (+ t y) a))
764.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify1.1s

Counts

102 → 102

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	177	2307
1	520	2201
2	2122	2077
done	5001	2061

prune418.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.8b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.8b	(+ (* (+ x y) z) (* (+ t y) a))
10.2b	(/ (* y b) (+ (+ x t) y))
18.3b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

25.0ms	(* (+ t y) a)
28.0ms	(+ (* (+ x y) z) (* (+ t y) a))
54.0ms	(/ (* y b) (+ (+ x t) y))
112.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series501.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (+ t y) a)
62.0ms	(+ (* (+ x y) z) (* (+ t y) a))
98.0ms	(/ (* y b) (+ (+ x t) y))
316.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify1.2s

Counts

118 → 118

Iterations

Useful iterations: 2 (331.0ms)

Iter	Nodes	Cost
0	192	2134
1	534	2034
2	2244	1882
done	5000	1882

prune531.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.8b	(+ (* (+ x y) z) (* (+ t y) a))
6.3b	(* y (/ b (+ (+ x t) y)))
18.3b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
31×	`times-frac`
26×	`add-cube-cbrt`
24×	`associate-r`
22×	`distribute-lft-out`
18×	`associate-*l/`
13×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
8×	`pow1` `frac-add`
7×	`associate-l`
6×	`associate-/l/` `add-log-exp`
5×	`associate-/r*`
4×	`associate-/r/`
3×	`prod-exp` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`+-commutative` `frac-2neg` `associate-*r/` `clear-num` `sum-log`

Counts

4 → 119

Calls

4 calls:

22.0ms	(* (+ t y) a)
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
85.0ms	(* y (/ b (+ (+ x t) y)))
87.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series439.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (+ t y) a)
55.0ms	(+ (* (+ x y) z) (* (+ t y) a))
96.0ms	(* y (/ b (+ (+ x t) y)))
260.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify1.1s

Counts

131 → 131

Iterations

Useful iterations: 2 (305.0ms)

Iter	Nodes	Cost
0	213	2263
1	584	2143
2	2280	1993
done	5000	1993

prune530.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))
1.8b	(+ (* (+ x y) z) (* (+ t y) a))
3.0b	(* (/ y (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (/ b (cbrt (+ (+ x t) y))))
18.3b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite730.0ms

Algorithm

rewrite-expression-head

Rules

118×	`*-un-lft-identity`
63×	`add-sqr-sqrt`
53×	`cbrt-prod`
49×	`times-frac`
45×	`distribute-lft-out`
39×	`add-cube-cbrt`
38×	`associate-r`
29×	`add-exp-log`
26×	`cbrt-div`
24×	`flip3-+` `flip-+`
23×	`associate-l`
21×	`associate-*l/`
20×	`add-cbrt-cube`
14×	`swap-sqr`
13×	`pow1`
12×	`associate-/r/`
10×	`unswap-sqr`
9×	`frac-times` `prod-exp` `cbrt-unprod`
8×	`cbrt-undiv` `div-exp` `frac-add`
6×	`pow1/3` `associate-/l/` `add-log-exp`
5×	`associate-r/` `associate-/r`
3×	`pow-prod-down` `div-inv` `associate-/l*`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`+-commutative` `pow2` `frac-2neg` `pow-plus` `clear-num` `sum-log`

Counts

4 → 193

Calls

4 calls:

179.0ms	(* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))
29.0ms	(+ (* (+ x y) z) (* (+ t y) a))
406.0ms	(* (/ y (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (/ b (cbrt (+ (+ x t) y))))
103.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series927.0ms

Counts

4 → 12

Calls

4 calls:

277.0ms	(* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))
84.0ms	(+ (* (+ x y) z) (* (+ t y) a))
246.0ms	(* (/ y (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (/ b (cbrt (+ (+ x t) y))))
319.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify1.6s

Counts

205 → 205

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	322	5023
1	903	4719
2	3836	4138
done	5001	3861

prune705.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 3.1b

regimes544.0ms

Accuracy

14.9% (17.4b remaining)

Error of 20.6b against oracle of 3.3b and baseline of 23.7b

bsearch215.0ms

Steps

Iters	Range		Point
9	1.670902194138868e+164	1.1794214680334793e+169	1.9789658189585288e+164
7	1.1123608404219835e-45	5.613152505814407e-44	1.908584443905938e-45
8	2.738154310568617e-214	6.18762057606548e-211	5.325165846082586e-212
8	-2.95797388004145e+163	-4.4874797001979404e+160	-1.3293516713796004e+162

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	118
1	48	118
done	48	118

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.1s	7995×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid