Details

sample39.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify3.5s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.9b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
0.9b	(+ (* (+ x y) z) (* (+ t y) a))
2.4b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
27.9b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite397.0ms

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:

33.0ms	(* (+ t y) a)
24.0ms	(+ (* (+ x y) z) (* (+ t y) a))
123.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
213.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series1.0s

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (+ t y) a)
62.0ms	(+ (* (+ x y) z) (* (+ t y) a))
144.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
805.0ms	(/ (- (+ (* (+ 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	530	2201
2	2318	2079
done	5001	2077

prune400.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
0.9b	(+ (* (+ x y) z) (* (+ t y) a))
8.0b	(/ (* y b) (+ (+ x t) y))
24.6b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite156.0ms

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:

20.0ms	(* (+ t y) a)
17.0ms	(+ (* (+ x y) z) (* (+ t y) a))
39.0ms	(/ (* y b) (+ (+ x t) y))
76.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series424.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (+ t y) a)
59.0ms	(+ (* (+ x y) z) (* (+ t y) a))
85.0ms	(/ (* y b) (+ (+ x t) y))
254.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify1.3s

Counts

118 → 118

Iterations

Useful iterations: 2 (275.0ms)

Iter	Nodes	Cost
0	192	2134
1	565	2034
2	2909	1882
done	5000	1882

prune459.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.6b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
0.9b	(+ (* (+ x y) z) (* (+ t y) a))
10.5b	(/ y (/ (+ (+ x t) y) b))
24.6b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 173

Calls

4 calls:

30.0ms	(* (+ t y) a)
23.0ms	(+ (* (+ x y) z) (* (+ t y) a))
61.0ms	(/ y (/ (+ (+ x t) y) b))
117.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series586.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (+ t y) a)
75.0ms	(+ (* (+ x y) z) (* (+ t y) a))
174.0ms	(/ y (/ (+ (+ x t) y) b))
312.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify1.8s

Counts

185 → 185

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	290	3474
1	809	3288
2	4040	3094
done	5000	3088

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 1.8b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
0.9b	(+ (* (+ x y) z) (* (+ t y) a))
3.1b	(* (/ y (+ (+ x t) y)) b)
24.6b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite297.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
31×	`times-frac`
26×	`add-cube-cbrt`
25×	`associate-l`
22×	`distribute-lft-out`
19×	`associate-*l/`
13×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
8×	`pow1` `frac-add`
6×	`associate-r` `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` `clear-num` `sum-log`

Counts

4 → 119

Calls

4 calls:

21.0ms	(* (+ t y) a)
15.0ms	(+ (* (+ x y) z) (* (+ t y) a))
145.0ms	(* (/ y (+ (+ x t) y)) b)
111.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series603.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (+ t y) a)
60.0ms	(+ (* (+ x y) z) (* (+ t y) a))
198.0ms	(* (/ y (+ (+ x t) y)) b)
320.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify1.4s

Counts

131 → 131

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	216	2267
1	603	2175
2	3167	2025
done	5002	2021

prune408.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.8b

regimes542.0ms

Accuracy

11.8% (18.4b remaining)

Error of 21.3b against oracle of 3.0b and baseline of 23.8b

bsearch214.0ms

Steps

Iters	Range		Point
8	1.7737391721442364e+105	9.504739634828531e+107	2.119164531549617e+105
8	4.5739477342727176e-70	3.7646546654894784e-66	1.425433211750613e-69
8	-2.017359660285255e-248	-1.240230966912953e-251	-2.201752731199657e-249
6	-1.202983751766874e+19	-1.3980170606481126e+18	-1.1807057696238676e+19

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	105
1	48	105
done	48	105

end0.0ms

sample1.1s

Algorithm

intervals

Results

687.0ms	7997×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid