Details

sample107.0ms

Algorithm

intervals

Results

50.0ms	112×	body	1280	valid
19.0ms	76×	body	640	valid
10.0ms	248×	body	80	valid
7.0ms	39×	body	320	valid
2.0ms	22×	body	160	valid

simplify25.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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:

15.0ms

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

series77.0ms

Counts

1 → 3

Calls

1 calls:

77.0ms

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

simplify792.0ms

Counts

17 → 17

Iterations

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

prune114.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-l`
18×	`add-log-exp`
16×	`*-un-lft-identity`
14×	`add-exp-log`
11×	`add-cube-cbrt`
9×	`sum-log`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`flip3-+` `associate-r` `prod-exp` `flip-+`
4×	`pow1` `cube-prod` `frac-add` `sqr-pow`
3×	`distribute-lft-out`
2×	`pow-to-exp` `+-commutative` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`cube-mult` `associate-+l+` `associate-+r+` `unpow3`

Counts

4 → 89

Calls

4 calls:

68.0ms	(+ (+ x x) (+ (* (pow x 3) 1/3) (* (pow x 5) 1/60)))
16.0ms	(+ (* (pow x 3) 1/3) (* (pow x 5) 1/60))
16.0ms	(* (pow x 5) 1/60)
22.0ms	(* (pow x 3) 1/3)

series423.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ (+ x x) (+ (* (pow x 3) 1/3) (* (pow x 5) 1/60)))
237.0ms	(+ (* (pow x 3) 1/3) (* (pow x 5) 1/60))
56.0ms	(* (pow x 5) 1/60)
52.0ms	(* (pow x 3) 1/3)

simplify1.2s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	2356
1	460
0	160

prune430.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 2 expressions with local error:

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

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 66

Calls

2 calls:

148.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp (- x)) (exp x)))
48.0ms	(- (exp (+ x x)) (exp (* x -2)))

series172.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp (- x)) (exp x)))
73.0ms	(- (exp (+ x x)) (exp (* x -2)))

simplify1.0s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	1546
1	351
0	136

prune356.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.6s	3286×	body	1280	valid
891.0ms	2512×	body	640	valid
825.0ms	8161×	body	80	valid
351.0ms	1280×	body	320	valid
77.0ms	658×	body	160	valid