Details

sample33.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify3.9s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ t y) a)
1.4b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.4b	(+ (* (+ x y) z) (* (+ t y) a))
26.5b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite474.0ms

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:

37.0ms	(* (+ t y) a)
129.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
27.0ms	(+ (* (+ x y) z) (* (+ t y) a))
275.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series1.1s

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (+ t y) a)
142.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
82.0ms	(+ (* (+ x y) z) (* (+ t y) a))
887.0ms	(/ (- (+ (* (+ 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	2330	2079
done	5000	2077

prune408.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
1.4b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.4b	(+ (* (+ x y) z) (* (+ t y) a))
26.5b	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite519.0ms

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×	`associate-/r/` `add-cbrt-cube` `add-log-exp`
8×	`div-exp` `associate-l/` `associate-/l`
6×	`flip3--` `flip3-+` `flip--` `flip-+` `div-inv`
5×	`pow1`
4×	`cbrt-undiv` `frac-add`
2×	`rec-exp` `frac-2neg` `diff-log` `1-exp` `clear-num` `sum-log` `associate-/l/`
1×	`+-commutative` `sub-neg` `pow-flip` `associate--l+` `inv-pow`

Counts

4 → 176

Calls

4 calls:

152.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
120.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
24.0ms	(+ (* (+ x y) z) (* (+ t y) a))
212.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series1.2s

Counts

4 → 12

Calls

4 calls:

854.0ms	(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
136.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
81.0ms	(+ (* (+ x y) z) (* (+ t y) a))
168.0ms	(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify2.4s

Counts

188 → 188

Iterations

Useful iterations: 2 (753.0ms)

Iter	Nodes	Cost
0	262	6527
1	762	6083
2	4669	5843
done	5001	5843

prune551.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.6b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (+ (+ x t) y))
1.4b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.4b	(+ (* (+ x y) z) (* (+ t y) a))
26.5b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite629.0ms

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:

47.0ms	(/ 1 (+ (+ x t) y))
105.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.0ms	(+ (* (+ x y) z) (* (+ t y) a))
445.0ms	(* (- (+ (* (+ 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))
170.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
82.0ms	(+ (* (+ x y) z) (* (+ t y) a))
793.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify3.7s

Counts

130 → 130

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	192	2712
1	584	2477
2	4102	2242
done	5001	2236

prune414.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 5.6b

localize54.0ms

Local error

Found 4 expressions with local error:

1.4b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.4b	(+ (* (+ x y) z) (* (+ t y) a))
8.2b	(/ (cbrt (+ (+ x t) y)) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
17.7b	(* (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y))) (/ (cbrt (+ (+ x t) y)) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))

rewrite767.0ms

Algorithm

rewrite-expression-head

Rules

71×	`*-un-lft-identity`
50×	`times-frac`
41×	`add-sqr-sqrt`
36×	`cbrt-prod` `add-cube-cbrt`
30×	`associate-r`
26×	`cbrt-div`
21×	`distribute-lft-out`
20×	`associate-*l/`
18×	`add-exp-log` `flip3-+` `flip-+`
16×	`frac-times`
11×	`add-cbrt-cube` `add-log-exp`
9×	`pow1`
8×	`associate-/l*`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-*r/`
4×	`frac-add` `associate-/r/`
3×	`cbrt-undiv` `flip3--` `div-exp` `pow-prod-down` `associate-/r*` `flip--` `unswap-sqr`
2×	`diff-log` `sum-log` `div-inv` `associate-/l/`
1×	`+-commutative` `sub-neg` `frac-2neg` `associate-l` `associate--l+` `clear-num` `*-commutative`

Counts

4 → 149

Calls

4 calls:

91.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
25.0ms	(+ (* (+ x y) z) (* (+ t y) a))
162.0ms	(/ (cbrt (+ (+ x t) y)) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
476.0ms	(* (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y))) (/ (cbrt (+ (+ x t) y)) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))

series682.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
72.0ms	(+ (* (+ x y) z) (* (+ t y) a))
283.0ms	(/ (cbrt (+ (+ x t) y)) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
201.0ms	(* (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y))) (/ (cbrt (+ (+ x t) y)) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))

simplify3.1s

Counts

161 → 161

Iterations

Useful iterations: 2 (654.0ms)

Iter	Nodes	Cost
0	258	5823
1	820	5658
2	4993	5205
done	5001	5205

prune633.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 5.6b

regimes571.0ms

Accuracy

41.8% (13.3b remaining)

Error of 17.4b against oracle of 4.2b and baseline of 27.0b

bsearch99.0ms

Steps

Iters	Range		Point
6	2.9310864434849316e+206	4.045916786044548e+207	2.9781073488031946e+206
9	-3.0433044982512647e+105	-2.0194296793555897e+99	-3.0562342330929877e+100

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	26	41
1	40	37
done	40	37

end0.0ms

sample1.3s

Algorithm

intervals

Results

889.0ms	7994×	body	80	valid
0.0ms	4×	body	160	valid
0.0ms	2×	body	640	valid