Details

sample92.0ms

Algorithm

intervals

Results

38.0ms	107×	body	1280	valid
20.0ms	88×	body	640	valid
9.0ms	266×	body	80	valid
5.0ms	35×	body	320	valid
2.0ms	21×	body	160	valid

simplify21.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	34
4	34
3	30
2	24
1	14
0	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.9b

localize33.0ms

Local error

Found 1 expressions with local error:

6.4b	(- (exp x) (exp (- x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

12.0ms

(- (exp x) (exp (- x)))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(- (exp x) (exp (- x)))

simplify890.0ms

Counts

17 → 17

Iterations

Iter	Nodes
done	5000
3	1367
2	333
1	109
0	46

prune82.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (pow x 5) 1/60)
0.1b	(* (pow x 3) 1/3)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`associate-l`
12×	`add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`add-cbrt-cube` `associate-r` `prod-exp`
4×	`cube-prod` `sqr-pow`
2×	`pow-to-exp` `pow1` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`
1×	`cube-mult` `unpow3`

Counts

2 → 56

Calls

2 calls:

16.0ms	(* (pow x 5) 1/60)
18.0ms	(* (pow x 3) 1/3)

series113.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(* (pow x 5) 1/60)
48.0ms	(* (pow x 3) 1/3)

simplify497.0ms

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
2	887
1	216
0	93

prune237.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp (- x)) (exp x))
0.0b	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp (- x)) (exp x)))
6.3b	(- (exp (+ x x)) (exp (* x -2)))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
24×	`times-frac`
15×	`add-cube-cbrt`
12×	`difference-of-squares`
8×	`distribute-lft-out`
7×	`add-log-exp`
6×	`exp-sum` `associate-/l*` `distribute-lft-out--`
5×	`add-cbrt-cube` `add-exp-log`
4×	`associate-/r*`
3×	`pow1`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

3 → 78

Calls

3 calls:

14.0ms	(+ (exp (- x)) (exp x))
129.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp (- x)) (exp x)))
49.0ms	(- (exp (+ x x)) (exp (* x -2)))

series182.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (exp (- x)) (exp x))
103.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp (- x)) (exp x)))
53.0ms	(- (exp (+ x x)) (exp (* x -2)))

simplify595.0ms

Counts

87 → 87

Iterations

Iter	Nodes
done	5001
2	1563
1	385
0	150

prune436.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (/ (- (exp (+ x x)) (pow (exp x) -2)) (+ (exp x) (exp (- x))))) (cbrt (/ (- (exp (+ x x)) (pow (exp x) -2)) (+ (exp x) (exp (- x))))))
6.3b	(- (exp (+ x x)) (pow (exp x) -2))
6.3b	(- (exp (+ x x)) (pow (exp x) -2))
6.3b	(- (exp (+ x x)) (pow (exp x) -2))

rewrite575.0ms

Algorithm

rewrite-expression-head

Rules

318×	`*-un-lft-identity`
261×	`add-sqr-sqrt`
260×	`cbrt-prod`
230×	`times-frac`
138×	`difference-of-squares`
81×	`swap-sqr`
76×	`add-cube-cbrt`
69×	`exp-sum`
68×	`distribute-lft-out`
49×	`associate-r` `associate-l`
46×	`unpow-prod-down` `sqr-pow`
35×	`distribute-lft-out--`
11×	`pow1`
10×	`add-log-exp`
9×	`unswap-sqr`
8×	`associate-/r/`
6×	`pow1/3` `add-exp-log`
4×	`cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+` `div-inv`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 266

Calls

4 calls:

413.0ms	(* (cbrt (/ (- (exp (+ x x)) (pow (exp x) -2)) (+ (exp x) (exp (- x))))) (cbrt (/ (- (exp (+ x x)) (pow (exp x) -2)) (+ (exp x) (exp (- x))))))
47.0ms	(- (exp (+ x x)) (pow (exp x) -2))
45.0ms	(- (exp (+ x x)) (pow (exp x) -2))
49.0ms	(- (exp (+ x x)) (pow (exp x) -2))

series602.0ms

Counts

4 → 12

Calls

4 calls:

371.0ms	(* (cbrt (/ (- (exp (+ x x)) (pow (exp x) -2)) (+ (exp x) (exp (- x))))) (cbrt (/ (- (exp (+ x x)) (pow (exp x) -2)) (+ (exp x) (exp (- x))))))
93.0ms	(- (exp (+ x x)) (pow (exp x) -2))
65.0ms	(- (exp (+ x x)) (pow (exp x) -2))
72.0ms	(- (exp (+ x x)) (pow (exp x) -2))

simplify1.8s

Counts

278 → 278

Iterations

Iter	Nodes
done	5000
2	3011
1	739
0	381

prune2.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

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	18
1	18
0	14

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.3s	3427×	body	1280	valid
820.0ms	2450×	body	640	valid
440.0ms	8317×	body	80	valid
359.0ms	1220×	body	320	valid
73.0ms	643×	body	160	valid