Details

sample60.0ms

Algorithm

intervals

Results

26.0ms

429×

body

valid

simplify4.8s

Counts

1 → 1

Iterations

Useful iterations: 6 (3.2s)

Iter	Nodes	Cost
0	18	19
1	37	19
2	93	19
3	282	19
4	684	19
5	1533	19
6	3412	17
done	5001	17

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
0.2b	(* (* x 9.0) y)
2.7b	(/ (+ b (* (* x 9.0) y)) z)
12.1b	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/l/`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
1×	`sub-neg` `flip3-+` `diff-log` `div-sub` `associate-l` `*-commutative` `flip-+`

Counts

4 → 89

Calls

4 calls:

50.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
18.0ms	(* (* x 9.0) y)
24.0ms	(/ (+ b (* (* x 9.0) y)) z)
150.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

series564.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
21.0ms	(* (* x 9.0) y)
93.0ms	(/ (+ b (* (* x 9.0) y)) z)
187.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

simplify1.5s

Counts

101 → 101

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	182	1845
1	444	1785
2	1567	1639
done	5000	1631

prune579.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.9b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
6.1b	(/ b (* z c))
8.2b	(/ (* t a) c)
12.5b	(/ (* x y) (* z c))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
12×	`cbrt-undiv` `add-sqr-sqrt` `div-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`times-frac`
6×	`pow1`
5×	`associate-r` `associate-/r` `associate-/l`
4×	`div-inv` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

30.0ms	(* 9.0 (/ (* x y) (* z c)))
9.0ms	(/ b (* z c))
10.0ms	(/ (* t a) c)
31.0ms	(/ (* x y) (* z c))

series151.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* 9.0 (/ (* x y) (* z c)))
22.0ms	(/ b (* z c))
21.0ms	(/ (* t a) c)
36.0ms	(/ (* x y) (* z c))

simplify1.1s

Counts

104 → 104

Iterations

Useful iterations: 2 (307.0ms)

Iter	Nodes	Cost
0	160	1082
1	402	1049
2	1858	811
done	5000	811

prune428.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 1.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
3.7b	(* t (/ a c))
6.1b	(/ b (* z c))
12.5b	(/ (* x y) (* z c))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log` `add-cbrt-cube`
23×	`add-sqr-sqrt`
18×	`associate-r`
16×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
15×	`times-frac`
11×	`cbrt-undiv` `div-exp`
8×	`pow1`
6×	`associate-l`
4×	`div-inv` `associate-/l*` `add-log-exp`
3×	`unswap-sqr`
2×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `*-commutative`

Counts

4 → 103

Calls

4 calls:

46.0ms	(* 9.0 (/ (* x y) (* z c)))
15.0ms	(* t (/ a c))
12.0ms	(/ b (* z c))
27.0ms	(/ (* x y) (* z c))

series174.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* 9.0 (/ (* x y) (* z c)))
23.0ms	(* t (/ a c))
35.0ms	(/ b (* z c))
47.0ms	(/ (* x y) (* z c))

simplify1.3s

Counts

115 → 115

Iterations

Useful iterations: 2 (383.0ms)

Iter	Nodes	Cost
0	180	1173
1	454	1130
2	1919	892
done	5000	892

prune470.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize423.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (* (/ x z) (/ y c)))
3.7b	(* t (/ a c))
6.1b	(/ b (* z c))
6.6b	(* (/ x z) (/ y c))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
44×	`add-exp-log` `add-cbrt-cube`
35×	`times-frac`
29×	`add-cube-cbrt` `*-un-lft-identity`
27×	`associate-r`
19×	`associate-l`
16×	`prod-exp` `cbrt-unprod`
13×	`pow1`
11×	`cbrt-undiv` `div-exp`
6×	`associate-*r/` `unswap-sqr`
5×	`pow-prod-down`
4×	`div-inv` `add-log-exp`
3×	`-commutative` `associate-/l`
2×	`frac-times` `associate-*l/`
1×	`frac-2neg` `clear-num` `associate-/r*`

Counts

4 → 130

Calls

4 calls:

72.0ms	(* 9.0 (* (/ x z) (/ y c)))
28.0ms	(* t (/ a c))
18.0ms	(/ b (* z c))
50.0ms	(* (/ x z) (/ y c))

series188.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* 9.0 (* (/ x z) (/ y c)))
42.0ms	(* t (/ a c))
34.0ms	(/ b (* z c))
34.0ms	(* (/ x z) (/ y c))

simplify1.8s

Counts

142 → 142

Iterations

Useful iterations: 2 (513.0ms)

Iter	Nodes	Cost
0	236	1433
1	625	1378
2	2203	1138
done	5000	1138

prune683.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

regimes1.3s

Accuracy

70% (3.1b remaining)

Error of 3.3b against oracle of 0.1b and baseline of 10.6b

bsearch3.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	195
1	68	195
done	68	195

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.9s

12744×

body

valid