Details

sample59.0ms

Algorithm

intervals

Results

25.0ms

256×

body

valid

simplify4.6s

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	580	21
5	2337	21
done	5000	21

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.2b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.1b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
1.6b	(+ (* (+ x y) z) (* (+ t y) a))
25.4b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite466.0ms

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:

32.0ms	(* (+ t y) a)
129.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
24.0ms	(+ (* (+ x y) z) (* (+ t y) a))
275.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series1.2s

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (+ t y) a)
162.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
64.0ms	(+ (* (+ x y) z) (* (+ t y) a))
965.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify1.9s

Counts

102 → 102

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	177	2307
1	530	2201
2	2330	2079
done	5000	2077

prune889.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.6b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.6b	(+ (* (+ x y) z) (* (+ t y) a))
7.5b	(/ (* y b) (+ (+ x t) y))
22.5b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite276.0ms

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:

40.0ms	(* (+ t y) a)
28.0ms	(+ (* (+ x y) z) (* (+ t y) a))
69.0ms	(/ (* y b) (+ (+ x t) y))
132.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series707.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (+ t y) a)
96.0ms	(+ (* (+ x y) z) (* (+ t y) a))
147.0ms	(/ (* y b) (+ (+ x t) y))
425.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify1.7s

Counts

118 → 118

Iterations

Useful iterations: 2 (462.0ms)

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

prune917.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.4b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (+ x t) y) b)
1.6b	(+ (* (+ x y) z) (* (+ t y) a))
9.8b	(/ y (/ (+ (+ x t) y) b))
22.5b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite335.0ms

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:

96.0ms	(/ (+ (+ x t) y) b)
28.0ms	(+ (* (+ x y) z) (* (+ t y) a))
71.0ms	(/ y (/ (+ (+ x t) y) b))
127.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series719.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ (+ (+ x t) y) b)
94.0ms	(+ (* (+ x y) z) (* (+ t y) a))
232.0ms	(/ y (/ (+ (+ x t) y) b))
351.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify1.9s

Counts

201 → 201

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	284	3770
1	807	3586
2	4114	3378
done	5002	3376

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ (+ x t) y))
1.6b	(+ (* (+ x y) z) (* (+ t y) a))
3.9b	(* (/ y (+ (+ x t) y)) b)
22.5b	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite321.0ms

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:

41.0ms	(/ y (+ (+ x t) y))
19.0ms	(+ (* (+ x y) z) (* (+ t y) a))
133.0ms	(* (/ y (+ (+ x t) y)) b)
114.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series634.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(/ y (+ (+ x t) y))
66.0ms	(+ (* (+ x y) z) (* (+ t y) a))
181.0ms	(* (/ y (+ (+ x t) y)) b)
301.0ms	(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify1.4s

Counts

147 → 147

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	208	2547
1	598	2445
2	2884	2283
done	5000	2281

prune794.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 3.1b

regimes985.0ms

Accuracy

20.6% (16.6b remaining)

Error of 19.6b against oracle of 3.0b and baseline of 23.9b

bsearch254.0ms

Steps

Iters	Range		Point
7	6.026839760300236e+107	6.923745224778837e+109	7.113260896747718e+108
8	2.3428227933790814e-203	1.9799615726363435e-199	7.624803602048541e-203
5	-1.895141159127535e-231	-6.432134779570075e-232	-1.331450716195835e-231
9	-2.1513615898168565e+80	-1.7027429946796488e+74	-3.878144475311651e+76

simplify9.0ms

Iterations

Useful iterations: 0 (2.0ms)

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

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.2s	7994×	body	80	valid
1.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid