Details

sample47.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify6.8s

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	344	21
5	598	21
6	951	21
7	1688	21
8	3191	21
9	4792	21
done	5000	21

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.4b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
4.0b	(+ (* (+ x y) z) (* (+ t y) a))
21.7b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite290.0ms

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)
80.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
170.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series963.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (+ t y) a)
146.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
77.0ms	(+ (* (+ x y) z) (* (+ t y) a))
708.0ms	(/ (- (+ (* (+ 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

prune484.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
4.0b	(+ (* (+ x y) z) (* (+ t y) a))
8.1b	(/ (* y b) (+ (+ x t) y))
19.1b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite194.0ms

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:

30.0ms	(* (+ t y) a)
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
50.0ms	(/ (* y b) (+ (+ x t) y))
91.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series545.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (+ t y) a)
86.0ms	(+ (* (+ x y) z) (* (+ t y) a))
117.0ms	(/ (* y b) (+ (+ x t) y))
311.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify1.1s

Counts

118 → 118

Iterations

Useful iterations: 2 (279.0ms)

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

prune434.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.4b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (+ x t) y) b)
4.0b	(+ (* (+ x y) z) (* (+ t y) a))
7.2b	(/ y (/ (+ (+ x t) y) b))
19.1b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

180×	`*-un-lft-identity`
147×	`times-frac`
80×	`add-sqr-sqrt` `add-cube-cbrt`
60×	`distribute-lft-out`
27×	`associate-/r*`
16×	`associate-*l/`
13×	`add-exp-log` `add-cbrt-cube`
12×	`flip3-+` `flip-+`
11×	`associate-/l*`
8×	`frac-add` `associate-/l/`
7×	`div-inv`
6×	`add-log-exp`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num` `associate-/r/`
1×	`+-commutative` `sum-log`

Counts

4 → 189

Calls

4 calls:

72.0ms	(/ (+ (+ x t) y) b)
15.0ms	(+ (* (+ x y) z) (* (+ t y) a))
48.0ms	(/ y (/ (+ (+ x t) y) b))
116.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series562.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ (+ (+ x t) y) b)
72.0ms	(+ (* (+ x y) z) (* (+ t y) a))
195.0ms	(/ y (/ (+ (+ x t) y) b))
264.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify1.3s

Counts

201 → 201

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	284	3770
1	715	3546
2	2736	3368
done	5001	3366

prune766.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ (+ x t) y))
3.8b	(* (/ y (+ (+ x t) y)) b)
4.0b	(+ (* (+ x y) z) (* (+ t y) a))
19.1b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
46×	`times-frac`
39×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
33×	`distribute-lft-out`
21×	`associate-l`
17×	`associate-*l/`
13×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
10×	`associate-/r*`
8×	`frac-add`
6×	`pow1` `associate-/r/` `associate-/l/` `associate-/l*` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-r` `div-inv`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `pow-prod-down` `sum-log` `*-commutative`

Counts

4 → 135

Calls

4 calls:

37.0ms	(/ y (+ (+ x t) y))
84.0ms	(* (/ y (+ (+ x t) y)) b)
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
88.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series548.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ y (+ (+ x t) y))
157.0ms	(* (/ y (+ (+ x t) y)) b)
62.0ms	(+ (* (+ x y) z) (* (+ t y) a))
265.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify857.0ms

Counts

147 → 147

Iterations

Useful iterations: 2 (303.0ms)

Iter	Nodes	Cost
0	208	2547
1	562	2445
2	2165	2275
done	5002	2275

prune453.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.5b

regimes616.0ms

Accuracy

22.3% (15.9b remaining)

Error of 18.8b against oracle of 2.8b and baseline of 23.4b

bsearch267.0ms

Steps

Iters	Range		Point
8	2.2363588830237773e+108	6.314650550415426e+112	2.6806799688808477e+110
10	8.934194672016381e-212	7.68575915762326e-196	1.1448003343672585e-209
10	-1.7207244416510206e-306	3.369712309218027e-300	1.2086938767056123e-302
11	-1.3752760114434907e+107	-5.587667372046019e+85	-9.936654150029263e+95

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	103
1	41	103
done	41	103

end0.0ms

sample1.4s

Algorithm

intervals

Results

932.0ms	7999×	body	80	valid
0.0ms	1×	body	160	valid