Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.9b	(+ (* (+ x y) z) (* (+ t y) a))
2.0b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
25.3b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite385.0ms

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:

28.0ms	(* (+ t y) a)
32.0ms	(+ (* (+ x y) z) (* (+ t y) a))
84.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
236.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series1.1s

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (+ t y) a)
55.0ms	(+ (* (+ x y) z) (* (+ t y) a))
122.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
858.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify1.3s

Counts

102 → 102

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	177	2307
1	530	2201
2	2318	2079
done	5001	2077

prune421.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 9.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (+ x t) y))
1.9b	(+ (* (+ x y) z) (* (+ t y) a))
2.0b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
25.4b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite477.0ms

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`
17×	`add-exp-log`
11×	`add-cbrt-cube` `add-log-exp`
10×	`associate-*l/`
7×	`pow1` `flip3-+` `flip-+`
5×	`associate-/r*`
4×	`div-exp` `frac-add` `prod-exp` `associate-/r/`
3×	`flip3--` `associate-l` `flip--` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `diff-log` `1-exp` `sum-log` `cbrt-unprod` `div-inv`
1×	`+-commutative` `sub-neg` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `associate--l+` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 118

Calls

4 calls:

37.0ms	(/ 1 (+ (+ x t) y))
16.0ms	(+ (* (+ x y) z) (* (+ t y) a))
77.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
343.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

94.0ms	(/ 1 (+ (+ x t) y))
81.0ms	(+ (* (+ x y) z) (* (+ t y) a))
138.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
768.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify3.8s

Counts

130 → 130

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	192	2712
1	583	2477
2	4088	2242
done	5001	2236

prune331.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 9.5b

localize34.0ms

Local error

Found 4 expressions with local error:

5.8b	(/ (* (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (/ (+ (+ x t) y) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))))
26.0b	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
26.0b	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
26.0b	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite355.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
96×	`times-frac`
41×	`add-sqr-sqrt` `add-cube-cbrt`
39×	`cbrt-prod`
36×	`associate-/r*` `distribute-lft-out`
22×	`cbrt-div`
16×	`add-exp-log`
11×	`flip3--` `flip--`
10×	`add-cbrt-cube`
8×	`associate-/l/`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
4×	`pow1` `frac-times` `add-log-exp`
3×	`pow1/3` `div-inv`
2×	`associate-r/` `associate-l/` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 139

Calls

4 calls:

232.0ms	(/ (* (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (/ (+ (+ x t) y) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))))
38.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
39.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
38.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series1.7s

Counts

4 → 12

Calls

4 calls:

644.0ms	(/ (* (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (/ (+ (+ x t) y) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))))
338.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
345.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
348.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify2.4s

Counts

151 → 151

Iterations

Useful iterations: 2 (481.0ms)

Iter	Nodes	Cost
0	208	8283
1	604	8078
2	4787	7577
done	5001	7577

prune538.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 9.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
0.0b	(/ 1 (+ (+ x t) y))
1.4b	(- (* (+ t y) a) (* y b))
17.5b	(* (- (* (+ t y) a) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
35×	`add-sqr-sqrt`
32×	`times-frac`
26×	`add-cube-cbrt`
24×	`associate-r`
22×	`distribute-lft-out`
19×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`pow1`
7×	`associate-l`
6×	`add-log-exp`
5×	`prod-exp` `associate-/r*`
4×	`div-exp` `associate-*l/` `associate-/r/` `unswap-sqr`
3×	`flip3--` `flip3-+` `flip--` `cbrt-unprod` `flip-+` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-*r/` `clear-num` `un-div-inv` `inv-pow`

Counts

4 → 122

Calls

4 calls:

20.0ms	(* (+ t y) a)
37.0ms	(/ 1 (+ (+ x t) y))
14.0ms	(- (* (+ t y) a) (* y b))
129.0ms	(* (- (* (+ t y) a) (* y b)) (/ 1 (+ (+ x t) y)))

series332.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (+ t y) a)
58.0ms	(/ 1 (+ (+ x t) y))
37.0ms	(- (* (+ t y) a) (* y b))
211.0ms	(* (- (* (+ t y) a) (* y b)) (/ 1 (+ (+ x t) y)))

simplify3.0s

Counts

134 → 134

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	160	1943
1	442	1748
2	3125	1545
done	5000	1539

prune245.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 9.5b

regimes463.0ms

Accuracy

52.5% (8.8b remaining)

Error of 17.1b against oracle of 8.3b and baseline of 26.8b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	71
1	33	71
done	33	71

end0.0ms

sample1.3s

Algorithm

intervals

Results

847.0ms	7997×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	2×	body	160	valid