Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify4.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	21
1	32	21
2	70	21
3	128	21
4	275	21
5	483	21
6	805	21
7	1652	21
8	3179	21
9	4881	21
done	5000	21

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.7b	(+ (* (+ x y) z) (* (+ t y) a))
2.8b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
24.5b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite130.0ms

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:

9.0ms	(* (+ x y) z)
6.0ms	(+ (* (+ x y) z) (* (+ t y) a))
33.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
78.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series760.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ x y) z)
50.0ms	(+ (* (+ x y) z) (* (+ t y) a))
98.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
591.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify665.0ms

Counts

102 → 102

Iterations

Useful iterations: 2 (183.0ms)

Iter	Nodes	Cost
0	179	2307
1	524	2205
2	1970	2077
done	5000	2077

prune326.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ (+ x t) y))
0.7b	(+ (* (+ x y) z) (* (+ t y) a))
2.8b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
24.6b	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite187.0ms

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:

17.0ms	(/ 1 (+ (+ x t) y))
5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
31.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
129.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series771.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(/ 1 (+ (+ x t) y))
47.0ms	(+ (* (+ x y) z) (* (+ t y) a))
95.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
573.0ms	(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify698.0ms

Counts

130 → 130

Iterations

Useful iterations: 2 (171.0ms)

Iter	Nodes	Cost
0	192	2712
1	563	2436
2	2103	2236
done	5000	2236

prune313.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 8.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x y) z)
0.7b	(+ (* (+ x y) z) (* (+ t y) a))
2.8b	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
24.5b	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ x (+ t y)))

rewrite117.0ms

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:

9.0ms	(* (+ x y) z)
5.0ms	(+ (* (+ x y) z) (* (+ t y) a))
32.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
67.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ x (+ t y)))

series903.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (+ x y) z)
45.0ms	(+ (* (+ x y) z) (* (+ t y) a))
93.0ms	(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
556.0ms	(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ x (+ t y)))

simplify629.0ms

Counts

102 → 102

Iterations

Useful iterations: 2 (178.0ms)

Iter	Nodes	Cost
0	178	2307
1	523	2205
2	1962	2077
done	5001	2077

prune301.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 8.0b

localize21.0ms

Local error

Found 4 expressions with local error:

24.5b	(/ (* (* (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (+ x (+ t y)))
25.2b	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
25.2b	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
25.2b	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3--` `flip--`
28×	`frac-times`
26×	`associate-/l/`
19×	`*-un-lft-identity`
14×	`associate-*l/`
13×	`add-exp-log`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `add-cbrt-cube`
8×	`associate-*r/`
6×	`distribute-lft-out`
5×	`times-frac` `associate-/r*`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp` `prod-exp` `cbrt-unprod`
2×	`associate-/r/`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 94

Calls

4 calls:

182.0ms	(/ (* (* (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (+ x (+ t y)))
15.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
15.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
15.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series1.4s

Counts

4 → 12

Calls

4 calls:

561.0ms	(/ (* (* (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (+ x (+ t y)))
285.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
289.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
284.0ms	(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify596.0ms

Counts

106 → 106

Iterations

Useful iterations: done (592.0ms)

Iter	Nodes	Cost
0	144	5140
1	378	4941
2	1340	3762
done	5000	3538

prune456.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 8.0b

regimes460.0ms

Accuracy

20.4% (14.8b remaining)

Error of 23.1b against oracle of 8.3b and baseline of 26.8b

bsearch105.0ms

Steps

Iters	Range		Point
10	4.048541619839975e+126	5.927840100194678e+144	5.881779009672465e+139
9	-7.228835782285219e+139	-6.818135621868607e+134	-3.489006114171579e+135

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	24	37
1	36	31
done	36	31

end0.0ms

sample616.0ms

Algorithm

intervals

Results

342.0ms	7999×	body	80	valid
0.0ms	1×	body	160	valid