Details

sample59.0ms

Algorithm

intervals

Results

17.0ms	62×	body	640	valid
9.0ms	133×	body	80	valid
7.0ms	21×	body	1280	valid
6.0ms	29×	body	320	valid
1.0ms	11×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	18	15
2	31	15
3	41	15
4	88	15
5	135	15
6	162	15
7	211	15
8	441	15
9	1208	15
done	5000	15

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(- (/ 2.0 x) (/ 1.0 (+ x 1.0)))
2.2b	(- (/ 1.0 (- x 1.0)) (- (/ 2.0 x) (/ 1.0 (+ x 1.0))))

rewrite374.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
38×	`add-sqr-sqrt`
36×	`times-frac`
20×	`distribute-lft-out--`
13×	`add-cube-cbrt`
10×	`add-log-exp` `difference-of-squares`
5×	`add-exp-log` `associate-/r*` `frac-sub` `add-cbrt-cube`
4×	`flip3--` `diff-log` `flip--`
3×	`pow1` `sub-neg` `distribute-lft-out` `associate-/l*`
2×	`associate-/r/` `associate--r+`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate--r-`

Counts

3 → 84

Calls

3 calls:

23.0ms	(/ 1.0 (- x 1.0))
78.0ms	(- (/ 2.0 x) (/ 1.0 (+ x 1.0)))
266.0ms	(- (/ 1.0 (- x 1.0)) (- (/ 2.0 x) (/ 1.0 (+ x 1.0))))

series412.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/ 1.0 (- x 1.0))
60.0ms	(- (/ 2.0 x) (/ 1.0 (+ x 1.0)))
318.0ms	(- (/ 1.0 (- x 1.0)) (- (/ 2.0 x) (/ 1.0 (+ x 1.0))))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: 2 (402.0ms)

Iter	Nodes	Cost
0	184	1550
1	467	1457
2	1806	1389
done	5000	1389

prune435.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (* 1.0 (* x (+ x 1.0))) (* (- x 1.0) (- (* 2.0 (+ x 1.0)) (* x 1.0)))) (* (- x 1.0) (* x (+ x 1.0))))
0.0b	(- (* 2.0 (+ x 1.0)) (* x 1.0))
0.1b	(* (- x 1.0) (* x (+ x 1.0)))
14.6b	(- (* 1.0 (* x (+ x 1.0))) (* (- x 1.0) (- (* 2.0 (+ x 1.0)) (* x 1.0))))

rewrite397.0ms

Algorithm

rewrite-expression-head

Rules

88×	`associate-*r/`
33×	`flip3--` `flip--`
32×	`frac-sub`
24×	`frac-times`
22×	`flip3-+` `flip-+`
18×	`add-exp-log` `add-cbrt-cube` `associate-/l/`
15×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-*l/`
10×	`associate--l+`
9×	`pow1` `add-sqr-sqrt` `*-un-lft-identity`
8×	`associate-/r/` `associate--r+` `add-log-exp`
7×	`add-cube-cbrt`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`sub-neg`
3×	`cbrt-undiv` `times-frac` `div-exp` `pow-prod-down` `associate-/l*`
2×	`diff-log`
1×	`frac-2neg` `div-sub` `associate-r` `clear-num` `associate-/r` `-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 136

Calls

4 calls:

199.0ms	(/ (- (* 1.0 (* x (+ x 1.0))) (* (- x 1.0) (- (* 2.0 (+ x 1.0)) (* x 1.0)))) (* (- x 1.0) (* x (+ x 1.0))))
18.0ms	(- (* 2.0 (+ x 1.0)) (* x 1.0))
50.0ms	(* (- x 1.0) (* x (+ x 1.0)))
112.0ms	(- (* 1.0 (* x (+ x 1.0))) (* (- x 1.0) (- (* 2.0 (+ x 1.0)) (* x 1.0))))

series290.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(/ (- (* 1.0 (* x (+ x 1.0))) (* (- x 1.0) (- (* 2.0 (+ x 1.0)) (* x 1.0)))) (* (- x 1.0) (* x (+ x 1.0))))
40.0ms	(- (* 2.0 (+ x 1.0)) (* x 1.0))
131.0ms	(* (- x 1.0) (* x (+ x 1.0)))
2.0ms	(- (* 1.0 (* x (+ x 1.0))) (* (- x 1.0) (- (* 2.0 (+ x 1.0)) (* x 1.0))))

simplify1.1s

Counts

148 → 148

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	301	4980
1	1069	4759
done	5000	4299

prune900.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ x 1.0))
0.1b	(* (- x 1.0) (* x (+ x 1.0)))
0.2b	(/ 2.0 (* (- x 1.0) (* x (+ x 1.0))))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 86

Calls

3 calls:

20.0ms	(* x (+ x 1.0))
85.0ms	(* (- x 1.0) (* x (+ x 1.0)))
38.0ms	(/ 2.0 (* (- x 1.0) (* x (+ x 1.0))))

series353.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(* x (+ x 1.0))
134.0ms	(* (- x 1.0) (* x (+ x 1.0)))
157.0ms	(/ 2.0 (* (- x 1.0) (* x (+ x 1.0))))

simplify1.7s

Counts

95 → 95

Iterations

Useful iterations: 2 (545.0ms)

Iter	Nodes	Cost
0	153	1286
1	455	1252
2	2761	1092
done	5000	1092

prune433.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ x 1.0))
0.0b	(/ 1 (- x 1.0))
0.1b	(* (/ 1 (- x 1.0)) (/ 2.0 (* x (+ x 1.0))))
0.3b	(/ 2.0 (* x (+ x 1.0)))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-exp-log`
52×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
38×	`times-frac`
34×	`add-cbrt-cube`
29×	`add-cube-cbrt`
24×	`associate-l`
18×	`div-exp` `prod-exp`
13×	`associate-r`
10×	`cbrt-undiv` `cbrt-unprod`
9×	`pow1`
8×	`associate-/r/`
7×	`associate-*r/` `distribute-lft-out--` `difference-of-squares`
6×	`associate-/r` `associate-/l`
4×	`rec-exp` `1-exp` `div-inv` `add-log-exp` `unswap-sqr`
3×	`flip3-+` `flip-+`
2×	`flip3--` `frac-2neg` `pow-prod-down` `clear-num` `*-commutative` `flip--`
1×	`distribute-rgt-in` `frac-times` `pow-flip` `distribute-lft-in` `associate-*l/` `distribute-lft-out` `inv-pow`

Counts

4 → 150

Calls

4 calls:

34.0ms	(* x (+ x 1.0))
24.0ms	(/ 1 (- x 1.0))
100.0ms	(* (/ 1 (- x 1.0)) (/ 2.0 (* x (+ x 1.0))))
18.0ms	(/ 2.0 (* x (+ x 1.0)))

series294.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* x (+ x 1.0))
41.0ms	(/ 1 (- x 1.0))
139.0ms	(* (/ 1 (- x 1.0)) (/ 2.0 (* x (+ x 1.0))))
48.0ms	(/ 2.0 (* x (+ x 1.0)))

simplify3.1s

Counts

162 → 162

Iterations

Useful iterations: 2 (768.0ms)

Iter	Nodes	Cost
0	230	2128
1	705	1973
2	4729	1625
done	5000	1625

prune533.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes44.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	12	16
1	17	13
2	19	11
done	19	11

end0.0ms

sample2.0s

Algorithm

intervals

Results

639.0ms	4135×	body	80	valid
522.0ms	1931×	body	640	valid
277.0ms	908×	body	320	valid
244.0ms	578×	body	1280	valid
56.0ms	448×	body	160	valid