Details

sample83.0ms

Algorithm

intervals

Results

36.0ms

456×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	18	19
1	37	19
2	93	19
3	284	19
4	797	19
5	1842	19
done	5000	17

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.7b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.2b	(- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t))
3.4b	(/ (+ (* (* x 9.0) y) b) z)
11.3b	(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t)) c)

rewrite519.0ms

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:

20.0ms	(* (* x 9.0) y)
165.0ms	(- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t))
66.0ms	(/ (+ (* (* x 9.0) y) b) z)
265.0ms	(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t)) c)

series441.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* x 9.0) y)
167.0ms	(- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t))
67.0ms	(/ (+ (* (* x 9.0) y) b) z)
185.0ms	(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* a 4.0) t)) c)

simplify1.3s

Counts

101 → 101

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	182	1845
1	458	1789
2	2241	1649
done	5000	1647

prune417.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
5.9b	(/ (* t a) c)
6.1b	(/ b (* z c))
8.7b	(/ (* 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)))
17.0ms	(/ (* t a) c)
8.0ms	(/ b (* z c))
25.0ms	(/ (* x y) (* z c))

series161.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* 9.0 (/ (* x y) (* z c)))
27.0ms	(/ (* t a) c)
31.0ms	(/ b (* z c))
36.0ms	(/ (* x y) (* z c))

simplify1.3s

Counts

104 → 104

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	160	1082
1	431	1049
2	2455	827
done	5000	815

prune405.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.5b	(* t (/ a c))
6.1b	(/ b (* z c))
8.7b	(/ (* x y) (* z c))

rewrite101.0ms

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:

44.0ms	(* 9.0 (/ (* x y) (* z c)))
16.0ms	(* t (/ a c))
10.0ms	(/ b (* z c))
25.0ms	(/ (* x y) (* z c))

series176.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* 9.0 (/ (* x y) (* z c)))
31.0ms	(* t (/ a c))
31.0ms	(/ b (* z c))
44.0ms	(/ (* x y) (* z c))

simplify1.6s

Counts

115 → 115

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	180	1173
1	488	1134
2	2482	906
done	5000	892

prune505.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
3.5b	(* (* t (* (cbrt a) (cbrt a))) (/ (cbrt a) c))
6.1b	(/ b (* z c))
8.7b	(/ (* x y) (* z c))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-exp-log`
35×	`add-cbrt-cube`
22×	`times-frac` `associate-r`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`prod-exp` `cbrt-unprod`
13×	`pow1`
12×	`cbrt-prod`
9×	`cbrt-undiv` `div-exp`
6×	`pow-prod-down`
4×	`associate-/l*` `add-log-exp`
3×	`div-inv`
2×	`frac-2neg` `clear-num` `associate-/r*`
1×	`pow1/3` `associate-r/` `associate-l` `-commutative`

Counts

4 → 100

Calls

4 calls:

1.0ms	(cbrt a)
127.0ms	(* (* t (* (cbrt a) (cbrt a))) (/ (cbrt a) c))
13.0ms	(/ b (* z c))
21.0ms	(/ (* x y) (* z c))

series354.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(cbrt a)
62.0ms	(* (* t (* (cbrt a) (cbrt a))) (/ (cbrt a) c))
31.0ms	(/ b (* z c))
44.0ms	(/ (* x y) (* z c))

simplify2.9s

Counts

112 → 112

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	198	1319
1	600	1268
2	4165	944
done	5001	820

prune544.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

regimes1.4s

Accuracy

24.1% (8.2b remaining)

Error of 8.6b against oracle of 0.4b and baseline of 11.2b

bsearch3.0ms

simplify16.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	61	152
1	84	152
done	84	152

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.7s

12668×

body

valid