Details

sample37.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	4555
5	2129
4	576
3	183
2	71
1	32
0	16

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.7b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.4b	(+ (* (+ x y) z) (* (+ t y) a))
1.4b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
25.8b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite259.0ms

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

Counts

4 → 90

Calls

4 calls:

25.0ms	(* (+ t y) a)
18.0ms	(+ (* (+ x y) z) (* (+ t y) a))
62.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
151.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series1.0s

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (+ t y) a)
66.0ms	(+ (* (+ x y) z) (* (+ t y) a))
153.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
786.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify1.4s

Counts

102 → 102

Iterations

Iter	Nodes
done	5002
2	2333
1	532
0	178

prune669.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 7.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (+ x t) y))
1.4b	(+ (* (+ x y) z) (* (+ t y) a))
1.4b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
25.9b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite405.0ms

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×	`frac-times` `cbrt-undiv` `rec-exp` `sum-log` `diff-log` `1-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `clear-num` `sub-neg` `frac-2neg` `pow-prod-down` `associate--l+` `associate-r/` `un-div-inv` `-commutative` `pow-flip` `inv-pow`

Counts

4 → 118

Calls

4 calls:

41.0ms	(/ 1 (+ (+ x t) y))
11.0ms	(+ (* (+ x y) z) (* (+ t y) a))
66.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
284.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series985.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(/ 1 (+ (+ x t) y))
54.0ms	(+ (* (+ x y) z) (* (+ t y) a))
115.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
742.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify3.1s

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
2	3968
1	585
0	193

prune746.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 7.1b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ x (+ y t)) (- (+ (* (+ y t) a) (* (+ y x) z)) (* y b))))
1.4b	(+ (* (+ y t) a) (* (+ y x) z))
1.4b	(- (+ (* (+ y t) a) (* (+ y x) z)) (* y b))
25.9b	(/ (+ x (+ y t)) (- (+ (* (+ y t) a) (* (+ y x) z)) (* y b)))

rewrite382.0ms

Algorithm

rewrite-expression-head

Rules

152×	`*-un-lft-identity`
138×	`times-frac`
72×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`distribute-lft-out`
24×	`associate-/r*`
17×	`add-exp-log`
11×	`add-cbrt-cube` `associate-/r/` `add-log-exp`
8×	`div-exp` `associate-l/` `associate-/l`
6×	`flip3-+` `flip3--` `flip-+` `div-inv` `flip--`
5×	`pow1`
4×	`cbrt-undiv` `frac-add`
2×	`rec-exp` `clear-num` `sum-log` `frac-2neg` `diff-log` `1-exp` `associate-/l/`
1×	`+-commutative` `sub-neg` `associate--l+` `pow-flip` `inv-pow`

Counts

4 → 176

Calls

4 calls:

130.0ms	(/ 1 (/ (+ x (+ y t)) (- (+ (* (+ y t) a) (* (+ y x) z)) (* y b))))
17.0ms	(+ (* (+ y t) a) (* (+ y x) z))
90.0ms	(- (+ (* (+ y t) a) (* (+ y x) z)) (* y b))
131.0ms	(/ (+ x (+ y t)) (- (+ (* (+ y t) a) (* (+ y x) z)) (* y b)))

series1.1s

Counts

4 → 12

Calls

4 calls:

721.0ms	(/ 1 (/ (+ x (+ y t)) (- (+ (* (+ y t) a) (* (+ y x) z)) (* y b))))
58.0ms	(+ (* (+ y t) a) (* (+ y x) z))
156.0ms	(- (+ (* (+ y t) a) (* (+ y x) z)) (* y b))
131.0ms	(/ (+ x (+ y t)) (- (+ (* (+ y t) a) (* (+ y x) z)) (* y b)))

simplify1.9s

Counts

188 → 188

Iterations

Iter	Nodes
done	5001
2	4009
1	761
0	260

prune1.0s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 7.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (- (+ (* (+ y t) a) (* (+ y x) z)) (* y b)))
1.4b	(+ (* (+ y t) a) (* (+ y x) z))
1.4b	(- (+ (* (+ y t) a) (* (+ y x) z)) (* y b))
25.5b	(/ (/ 1 (+ x (+ y t))) (/ 1 (- (+ (* (+ y t) a) (* (+ y x) z)) (* y b))))

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

762×	`times-frac`
550×	`*-un-lft-identity`
310×	`add-sqr-sqrt` `add-cube-cbrt`
144×	`distribute-lft-out`
79×	`associate-/r/`
48×	`add-exp-log`
40×	`div-inv`
34×	`div-exp`
24×	`flip3--` `flip--` `associate-/l*`
21×	`flip3-+` `flip-+`
18×	`associate-/r*` `add-cbrt-cube`
11×	`add-log-exp`
9×	`cbrt-undiv` `rec-exp` `1-exp`
8×	`associate-*l/`
5×	`pow1`
4×	`frac-add`
2×	`clear-num` `sum-log` `frac-2neg` `diff-log`
1×	`+-commutative` `sub-neg` `associate--l+` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 445

Calls

4 calls:

60.0ms	(/ 1 (- (+ (* (+ y t) a) (* (+ y x) z)) (* y b)))
14.0ms	(+ (* (+ y t) a) (* (+ y x) z))
58.0ms	(- (+ (* (+ y t) a) (* (+ y x) z)) (* y b))
113.0ms	(/ (/ 1 (+ x (+ y t))) (/ 1 (- (+ (* (+ y t) a) (* (+ y x) z)) (* y b))))

series1.0s

Counts

4 → 12

Calls

4 calls:

120.0ms	(/ 1 (- (+ (* (+ y t) a) (* (+ y x) z)) (* y b)))
87.0ms	(+ (* (+ y t) a) (* (+ y x) z))
130.0ms	(- (+ (* (+ y t) a) (* (+ y x) z)) (* y b))
691.0ms	(/ (/ 1 (+ x (+ y t))) (/ 1 (- (+ (* (+ y t) a) (* (+ y x) z)) (* y b))))

simplify1.4s

Counts

457 → 457

Iterations

Iter	Nodes
done	5001
1	2126
0	592

prune1.8s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 7.1b

regimes853.0ms

Accuracy

49.6% (9.4b remaining)

Error of 17.8b against oracle of 8.4b and baseline of 27.0b

bsearch2.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	33
1	33
0	22

end0.0ms

sample930.0ms

Algorithm

intervals

Results

630.0ms

8000×

body

valid