Details

sample56.0ms

Algorithm

intervals

Results

17.0ms	288×	body	80	nan
15.0ms	269×	body	80	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1492
5	656
4	371
3	180
2	64
1	24
0	12

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (/ 1.0 (* x 9.0)))
0.2b	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(* 3.0 (sqrt x))
0.4b	(/ 1.0 (* x 9.0))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

10.0ms	(+ y (/ 1.0 (* x 9.0)))
192.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
21.0ms	(* 3.0 (sqrt x))
10.0ms	(/ 1.0 (* x 9.0))

series261.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ y (/ 1.0 (* x 9.0)))
114.0ms	(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
76.0ms	(* 3.0 (sqrt x))
22.0ms	(/ 1.0 (* x 9.0))

simplify1.2s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	2624
1	483
0	178

prune541.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt x) (- (/ (/ 1.0 9.0) x) 1.0))
0.3b	(* 3.0 (* (sqrt x) (- (/ (/ 1.0 9.0) x) 1.0)))
0.3b	(* (sqrt x) (* 3.0 y))
0.4b	(/ (/ 1.0 9.0) x)

rewrite319.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 151

Calls

4 calls:

119.0ms	(* (sqrt x) (- (/ (/ 1.0 9.0) x) 1.0))
151.0ms	(* 3.0 (* (sqrt x) (- (/ (/ 1.0 9.0) x) 1.0)))
29.0ms	(* (sqrt x) (* 3.0 y))
9.0ms	(/ (/ 1.0 9.0) x)

series376.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* (sqrt x) (- (/ (/ 1.0 9.0) x) 1.0))
123.0ms	(* 3.0 (* (sqrt x) (- (/ (/ 1.0 9.0) x) 1.0)))
110.0ms	(* (sqrt x) (* 3.0 y))
40.0ms	(/ (/ 1.0 9.0) x)

simplify1.6s

Counts

163 → 163

Iterations

Iter	Nodes
done	5001
2	3903
1	797
0	295

prune973.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 3.0 (* (sqrt x) (- (/ (/ (/ 1.0 9.0) (sqrt x)) (sqrt x)) 1.0)))
0.3b	(* (sqrt x) (* 3.0 y))
0.4b	(/ (/ (/ 1.0 9.0) (sqrt x)) (sqrt x))
0.4b	(/ (/ 1.0 9.0) (sqrt x))

rewrite969.0ms

Algorithm

rewrite-expression-head

Rules

1557×	`times-frac`
733×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
567×	`sqrt-prod`
95×	`associate-/l*`
58×	`div-inv`
28×	`add-cbrt-cube` `add-exp-log`
14×	`pow1`
12×	`associate-/r*`
9×	`cbrt-undiv` `div-exp` `associate-l`
8×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`sub-neg` `associate-*r/` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-r` `*-commutative` `associate-/l/`
1×	`flip3--` `flip--`

Counts

4 → 758

Calls

4 calls:

829.0ms	(* 3.0 (* (sqrt x) (- (/ (/ (/ 1.0 9.0) (sqrt x)) (sqrt x)) 1.0)))
26.0ms	(* (sqrt x) (* 3.0 y))
43.0ms	(/ (/ (/ 1.0 9.0) (sqrt x)) (sqrt x))
11.0ms	(/ (/ 1.0 9.0) (sqrt x))

series433.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* 3.0 (* (sqrt x) (- (/ (/ (/ 1.0 9.0) (sqrt x)) (sqrt x)) 1.0)))
110.0ms	(* (sqrt x) (* 3.0 y))
49.0ms	(/ (/ (/ 1.0 9.0) (sqrt x)) (sqrt x))
74.0ms	(/ (/ 1.0 9.0) (sqrt x))

simplify1.2s

Counts

770 → 770

Iterations

Iter	Nodes
done	5001
1	2161
0	923

prune4.2s

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
0.4b	(* (cbrt 3.0) (sqrt x))
0.4b	(/ 1.0 (* x 9.0))

rewrite331.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
36×	`pow1`
28×	`add-cbrt-cube`
23×	`prod-exp` `cbrt-unprod`
22×	`pow-prod-down`
21×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`associate-r`
11×	`add-cube-cbrt`
8×	`associate-l`
5×	`cbrt-prod` `sqrt-prod`
4×	`add-log-exp` `unswap-sqr`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `-commutative` `associate-/l`
2×	`cbrt-undiv` `sub-neg` `div-exp` `associate--l+` `associate-*r/` `distribute-lft-out--`
1×	`clear-num` `associate-/r*` `frac-2neg` `flip3--` `div-inv` `flip--` `distribute-lft-out` `difference-of-squares`

Counts

4 → 108

Calls

4 calls:

263.0ms	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
41.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
15.0ms	(* (cbrt 3.0) (sqrt x))
6.0ms	(/ 1.0 (* x 9.0))

series425.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(* (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
123.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
88.0ms	(* (cbrt 3.0) (sqrt x))
31.0ms	(/ 1.0 (* x 9.0))

simplify2.0s

Counts

120 → 120

Iterations

Iter	Nodes
done	5000
2	3743
1	612
0	214

prune484.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes274.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	12

end0.0ms

sample1.7s

Algorithm

intervals

Results

648.0ms	8560×	body	80	valid
587.0ms	8465×	body	80	nan