Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

359×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	26	13
2	88	13
3	275	13
4	669	13
5	1179	13
6	1405	13
7	1424	13
done	1424	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
7.3b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

3.0ms	(- (* x y) (* (* z 9.0) t))
7.0ms	(* (* z 9.0) t)
9.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series138.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (* x y) (* (* z 9.0) t))
17.0ms	(* (* z 9.0) t)
67.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify528.0ms

Counts

63 → 63

Iterations

Useful iterations: 2 (119.0ms)

Iter	Nodes	Cost
0	116	858
1	327	827
2	1283	711
done	5000	711

prune166.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.4b

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 9.0 (* t z))
0.2b	(+ (* x y) (- (* 9.0 (* t z))))
7.3b	(/ (+ (* x y) (- (* 9.0 (* t z)))) (* a 2.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `div-sub` `associate-l` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `neg-sub0` `associate-+r-` `flip3-+` `div-exp` `unsub-neg` `sum-log` `flip-+` `associate-/l/`
1×	`+-commutative` `frac-2neg` `associate-r` `neg-log` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 59

Calls

3 calls:

6.0ms	(* 9.0 (* t z))
4.0ms	(+ (* x y) (- (* 9.0 (* t z))))
12.0ms	(/ (+ (* x y) (- (* 9.0 (* t z)))) (* a 2.0))

series140.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(* 9.0 (* t z))
56.0ms	(+ (* x y) (- (* 9.0 (* t z))))
65.0ms	(/ (+ (* x y) (- (* 9.0 (* t z)))) (* a 2.0))

simplify515.0ms

Counts

68 → 68

Iterations

Useful iterations: done (513.0ms)

Iter	Nodes	Cost
0	118	947
1	336	876
2	1294	747
done	5000	744

prune169.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.4b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
0.2b	(* (* z 9.0) t)
5.4b	(/ (* x y) (* a 2.0))
6.5b	(/ (* (* z 9.0) t) (* a 2.0))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
10×	`cbrt-undiv` `div-exp`
9×	`pow1`
7×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`add-cube-cbrt`
4×	`div-inv`
3×	`associate-r` `pow-prod-down`
2×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `associate-/l`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `associate-l` `*-commutative` `frac-sub` `flip--` `distribute-lft-out--` `sub-div` `difference-of-squares`

Counts

4 → 81

Calls

4 calls:

10.0ms	(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
7.0ms	(* (* z 9.0) t)
5.0ms	(/ (* x y) (* a 2.0))
12.0ms	(/ (* (* z 9.0) t) (* a 2.0))

series181.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
20.0ms	(* (* z 9.0) t)
27.0ms	(/ (* x y) (* a 2.0))
26.0ms	(/ (* (* z 9.0) t) (* a 2.0))

simplify780.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (219.0ms)

Iter	Nodes	Cost
0	149	1327
1	453	1256
2	2633	1024
done	5000	1024

prune195.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* x y) (* a 2.0)) (* (/ (* z 9.0) a) (/ t 2.0)))
0.2b	(/ (* z 9.0) a)
5.4b	(/ (* x y) (* a 2.0))
5.6b	(* (/ (* z 9.0) a) (/ t 2.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

9.0ms	(- (/ (* x y) (* a 2.0)) (* (/ (* z 9.0) a) (/ t 2.0)))
3.0ms	(/ (* z 9.0) a)
7.0ms	(/ (* x y) (* a 2.0))
15.0ms	(* (/ (* z 9.0) a) (/ t 2.0))

series185.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(- (/ (* x y) (* a 2.0)) (* (/ (* z 9.0) a) (/ t 2.0)))
21.0ms	(/ (* z 9.0) a)
28.0ms	(/ (* x y) (* a 2.0))
29.0ms	(* (/ (* z 9.0) a) (/ t 2.0))

simplify967.0ms

Counts

116 → 116

Iterations

Useful iterations: 2 (339.0ms)

Iter	Nodes	Cost
0	207	1578
1	626	1491
2	3065	1255
done	5000	1255

prune273.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes457.0ms

Accuracy

50.8% (3.9b remaining)

Error of 4.0b against oracle of 0.1b and baseline of 8.1b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	39	119
1	49	117
done	49	117

end0.0ms

sample719.0ms

Algorithm

intervals

Results

391.0ms

11192×

body

valid