Details

sample76.0ms

Algorithm

intervals

Results

20.0ms	267×	body	80	valid
20.0ms	285×	body	80	nan

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
9	4385
8	1130
7	455
6	200
5	134
4	98
3	73
2	47
1	24
0	12

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

125.0ms	(- (- 1.0 (/ 1.0 (* 9.0 x))) (/ y (* 3.0 (sqrt x))))
13.0ms	(/ y (* 3.0 (sqrt x)))
14.0ms	(* 3.0 (sqrt x))
11.0ms	(/ 1.0 (* 9.0 x))

series275.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- (- 1.0 (/ 1.0 (* 9.0 x))) (/ y (* 3.0 (sqrt x))))
98.0ms	(/ y (* 3.0 (sqrt x)))
66.0ms	(* 3.0 (sqrt x))
31.0ms	(/ 1.0 (* 9.0 x))

simplify978.0ms

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	2250
1	532
0	216

prune569.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ 0.1111111111111111 x))
0.3b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

21.0ms	(- 1.0 (/ 0.1111111111111111 x))
14.0ms	(/ y (* 3.0 (sqrt x)))
14.0ms	(* 3.0 (sqrt x))

series227.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- 1.0 (/ 0.1111111111111111 x))
102.0ms	(/ y (* 3.0 (sqrt x)))
67.0ms	(* 3.0 (sqrt x))

simplify736.0ms

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	1379
1	359
0	151

prune384.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
98×	`add-sqr-sqrt`
87×	`*-un-lft-identity`
82×	`add-cube-cbrt`
44×	`sqrt-prod`
16×	`associate-/l*`
13×	`add-cbrt-cube` `add-exp-log`
9×	`div-inv`
8×	`add-log-exp`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `difference-of-squares`
3×	`pow1` `diff-log` `distribute-lft-out--`
2×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `associate--l+` `frac-sub` `flip--`
1×	`associate--l-` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

3 → 158

Calls

3 calls:

124.0ms	(- (- 1.0 (/ 1.0 (* 9.0 x))) (/ (/ y 3.0) (sqrt x)))
11.0ms	(/ 1.0 (* 9.0 x))
19.0ms	(/ (/ y 3.0) (sqrt x))

series171.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- (- 1.0 (/ 1.0 (* 9.0 x))) (/ (/ y 3.0) (sqrt x)))
26.0ms	(/ 1.0 (* 9.0 x))
85.0ms	(/ (/ y 3.0) (sqrt x))

simplify1.4s

Counts

167 → 167

Iterations

Iter	Nodes
done	5001
2	3694
1	803
0	330

prune871.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- 1.0 (* (/ 1 9.0) (/ 1.0 x))) (/ y (* 3.0 (sqrt x))))
0.3b	(/ y (* 3.0 (sqrt x)))
0.3b	(* 3.0 (sqrt x))
0.4b	(* (/ 1 9.0) (/ 1.0 x))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
33×	`add-exp-log`
28×	`times-frac`
27×	`*-un-lft-identity`
23×	`add-cbrt-cube` `add-cube-cbrt`
19×	`associate-r`
16×	`associate-l`
10×	`div-exp` `prod-exp`
9×	`add-log-exp`
8×	`pow1` `unswap-sqr`
6×	`cbrt-undiv` `cbrt-unprod`
4×	`sqrt-prod`
3×	`diff-log` `div-inv` `associate-/l*`
2×	`rec-exp` `sub-neg` `flip3--` `1-exp` `pow-prod-down` `associate--l+` `*-commutative` `frac-sub` `flip--`
1×	`associate--l-` `frac-times` `clear-num` `associate-/r` `frac-2neg` `associate-l/` `associate-*r/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 119

Calls

4 calls:

39.0ms	(- (- 1.0 (* (/ 1 9.0) (/ 1.0 x))) (/ y (* 3.0 (sqrt x))))
7.0ms	(/ y (* 3.0 (sqrt x)))
7.0ms	(* 3.0 (sqrt x))
28.0ms	(* (/ 1 9.0) (/ 1.0 x))

series259.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (- 1.0 (* (/ 1 9.0) (/ 1.0 x))) (/ y (* 3.0 (sqrt x))))
81.0ms	(/ y (* 3.0 (sqrt x)))
67.0ms	(* 3.0 (sqrt x))
36.0ms	(* (/ 1 9.0) (/ 1.0 x))

simplify1.9s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	4235
1	788
0	280

prune585.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes147.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	12

end0.0ms

sample2.2s

Algorithm

intervals

Results

994.0ms	8534×	body	80	valid
572.0ms	8665×	body	80	nan