Details

sample93.0ms

Algorithm

intervals

Results

62.0ms	190×	body	1280	valid
8.0ms	285×	body	80	valid
6.0ms	32×	body	640	valid
3.0ms	24×	body	320	valid
0.0ms	5×	body	160	valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	2899
9	809
8	249
7	88
6	71
5	62
4	56
3	40
2	26
1	14
0	7

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.8b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ -1 (exp x))
0.0b	(- (exp x) 2.0)
2.4b	(- (- (exp x) 2.0) (/ -1 (exp x)))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

5.0ms	(/ -1 (exp x))
10.0ms	(- (exp x) 2.0)
102.0ms	(- (- (exp x) 2.0) (/ -1 (exp x)))

series147.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(/ -1 (exp x))
23.0ms	(- (exp x) 2.0)
102.0ms	(- (- (exp x) 2.0) (/ -1 (exp x)))

simplify2.5s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	4084
2	765
1	275
0	129

prune328.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (* x x))
0.1b	(* x (* x x))
0.1b	(* (* x x) (* x x))
0.1b	(* (* x (* x x)) 1/360)

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

152×	`pow1`
46×	`pow-prod-up`
35×	`add-cbrt-cube` `pow-prod-down` `add-exp-log`
24×	`pow-sqr`
20×	`pow-plus` `prod-exp` `cbrt-unprod`
15×	`pow2`
9×	`add-sqr-sqrt`
8×	`associate-l`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
4×	`*-commutative` `add-log-exp`
3×	`unswap-sqr`
2×	`cube-unmult`
1×	`swap-sqr`

Counts

4 → 132

Calls

4 calls:

13.0ms	(* x (* x x))
23.0ms	(* x (* x x))
37.0ms	(* (* x x) (* x x))
44.0ms	(* (* x (* x x)) 1/360)

series236.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* x (* x x))
49.0ms	(* x (* x x))
52.0ms	(* (* x x) (* x x))
71.0ms	(* (* x (* x x)) 1/360)

simplify1.6s

Counts

144 → 144

Iterations

Iter	Nodes
done	5001
2	1610
1	254
0	90

prune356.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ -1 (exp x))
0.0b	(+ 2.0 (/ -1 (exp x)))
3.7b	(- (exp x) (+ 2.0 (/ -1 (exp x))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

5.0ms	(/ -1 (exp x))
10.0ms	(+ 2.0 (/ -1 (exp x)))
34.0ms	(- (exp x) (+ 2.0 (/ -1 (exp x))))

series102.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(/ -1 (exp x))
24.0ms	(+ 2.0 (/ -1 (exp x)))
60.0ms	(- (exp x) (+ 2.0 (/ -1 (exp x))))

simplify1.9s

Counts

65 → 65

Iterations

Iter	Nodes
done	5000
3	3714
2	785
1	267
0	115

prune304.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (- (exp x) (+ 2.0 (/ -1 (exp x))))) (cbrt (- (exp x) (+ 2.0 (/ -1 (exp x))))))
3.7b	(- (exp x) (+ 2.0 (/ -1 (exp x))))
3.7b	(- (exp x) (+ 2.0 (/ -1 (exp x))))
3.7b	(- (exp x) (+ 2.0 (/ -1 (exp x))))

rewrite457.0ms

Algorithm

rewrite-expression-head

Rules

71×	`*-un-lft-identity`
40×	`cbrt-prod`
34×	`add-sqr-sqrt`
22×	`distribute-lft-out--`
19×	`add-log-exp`
15×	`swap-sqr`
12×	`cbrt-div` `add-cube-cbrt`
11×	`pow1` `distribute-lft-out`
9×	`flip3--` `associate-r` `associate-l` `flip--`
7×	`difference-of-squares`
6×	`pow1/3` `diff-log` `add-exp-log`
4×	`frac-times` `add-cbrt-cube` `unswap-sqr`
3×	`sum-log` `sub-neg` `associate--r+`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 114

Calls

4 calls:

298.0ms	(* (cbrt (- (exp x) (+ 2.0 (/ -1 (exp x))))) (cbrt (- (exp x) (+ 2.0 (/ -1 (exp x))))))
53.0ms	(- (exp x) (+ 2.0 (/ -1 (exp x))))
55.0ms	(- (exp x) (+ 2.0 (/ -1 (exp x))))
44.0ms	(- (exp x) (+ 2.0 (/ -1 (exp x))))

series492.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(* (cbrt (- (exp x) (+ 2.0 (/ -1 (exp x))))) (cbrt (- (exp x) (+ 2.0 (/ -1 (exp x))))))
68.0ms	(- (exp x) (+ 2.0 (/ -1 (exp x))))
79.0ms	(- (exp x) (+ 2.0 (/ -1 (exp x))))
80.0ms	(- (exp x) (+ 2.0 (/ -1 (exp x))))

simplify3.0s

Counts

126 → 126

Iterations

Iter	Nodes
done	5001
3	4623
2	915
1	284
0	127

prune941.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes54.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	11

end0.0ms

sample5.1s

Algorithm

intervals

Results

3.7s	5658×	body	1280	valid
405.0ms	8005×	body	80	valid
364.0ms	1261×	body	640	valid
206.0ms	616×	body	320	valid
33.0ms	303×	body	160	valid