Details

sample38.0ms

Algorithm

intervals

Results

18.0ms

385×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 6 (932.0ms)

Iter	Nodes	Cost
0	18	19
1	37	19
2	91	19
3	267	19
4	704	19
5	1606	19
6	3608	17
done	5001	17

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.5b	(- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a)))
2.4b	(/ (+ b (* (* x 9.0) y)) z)
11.4b	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a))) c)

rewrite83.0ms

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:

7.0ms	(* (* x 9.0) y)
21.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a)))
8.0ms	(/ (+ b (* (* x 9.0) y)) z)
45.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a))) c)

series373.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 9.0) y)
148.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a)))
60.0ms	(/ (+ b (* (* x 9.0) y)) z)
145.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a))) c)

simplify583.0ms

Counts

101 → 101

Iterations

Useful iterations: 2 (150.0ms)

Iter	Nodes	Cost
0	182	1845
1	440	1785
2	1571	1639
done	5000	1639

prune318.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 9.0 (/ (* x y) (* z c)))
6.2b	(/ (* a t) c)
7.0b	(/ b (* z c))
9.9b	(/ (* x y) (* z c))

rewrite25.0ms

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:

11.0ms	(* 9.0 (/ (* x y) (* z c)))
3.0ms	(/ (* a t) c)
3.0ms	(/ b (* z c))
5.0ms	(/ (* x y) (* z c))

series111.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* 9.0 (/ (* x y) (* z c)))
19.0ms	(/ (* a t) c)
23.0ms	(/ b (* z c))
28.0ms	(/ (* x y) (* z c))

simplify560.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (149.0ms)

Iter	Nodes	Cost
0	160	1082
1	420	1049
2	2019	823
done	5001	823

prune292.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 9.0 (/ (* x y) (* z c)))
7.0b	(/ b (* z c))
7.0b	(/ a (/ c t))
9.9b	(/ (* x y) (* z c))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 141

Calls

4 calls:

11.0ms	(* 9.0 (/ (* x y) (* z c)))
3.0ms	(/ b (* z c))
7.0ms	(/ a (/ c t))
5.0ms	(/ (* x y) (* z c))

series112.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* 9.0 (/ (* x y) (* z c)))
23.0ms	(/ b (* z c))
20.0ms	(/ a (/ c t))
28.0ms	(/ (* x y) (* z c))

simplify809.0ms

Counts

153 → 153

Iterations

Useful iterations: 2 (236.0ms)

Iter	Nodes	Cost
0	260	1776
1	634	1683
2	2692	1435
done	5000	1435

prune684.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 9.0 (/ (* x y) (* z c)))
5.7b	(* (/ a c) t)
7.0b	(/ b (* z c))
9.9b	(/ (* x y) (* z c))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

13.0ms	(* 9.0 (/ (* x y) (* z c)))
8.0ms	(* (/ a c) t)
3.0ms	(/ b (* z c))
4.0ms	(/ (* x y) (* z c))

series111.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* 9.0 (/ (* x y) (* z c)))
20.0ms	(* (/ a c) t)
20.0ms	(/ b (* z c))
28.0ms	(/ (* x y) (* z c))

simplify593.0ms

Counts

115 → 115

Iterations

Useful iterations: 2 (166.0ms)

Iter	Nodes	Cost
0	178	1157
1	461	1126
2	2047	886
done	5000	886

prune300.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes910.0ms

Accuracy

67.7% (3.6b remaining)

Error of 3.8b against oracle of 0.2b and baseline of 11.3b

bsearch3.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	191
1	79	191
done	79	191

end0.0ms

sample1.1s

Algorithm

intervals

Results

603.0ms

12652×

body

valid