Details

sample122.0ms

Algorithm

intervals

Results

53.0ms	113×	body	1280	valid
22.0ms	71×	body	640	valid
10.0ms	217×	body	80	valid
9.0ms	48×	body	320	valid
2.0ms	15×	body	160	valid

simplify117.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	36
6	36
5	35
4	33
3	30
2	24
1	14
0	7

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize32.0ms

Local error

Found 1 expressions with local error:

6.2b	(- (exp x) (exp (- x)))

rewrite32.0ms

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` `insert-posit16` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 15

Calls

1 calls:

31.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify4.8s

Counts

18 → 18

Iterations

Iter	Nodes
done	5000
4	2342
3	782
2	282
1	110
0	47

prune219.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ (* 1/3 (* x x)) 2))
0.0b	(* 1/60 (pow x 5))
0.2b	(* 1/3 (* x x))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`add-exp-log`
12×	`add-cbrt-cube`
11×	`associate-r`
10×	`pow1`
9×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
7×	`prod-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down`
3×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`associate-*r/` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `flip3-+` `pow-exp` `flip-+`

Counts

3 → 69

Calls

3 calls:

99.0ms	(* x (+ (* 1/3 (* x x)) 2))
25.0ms	(* 1/60 (pow x 5))
23.0ms	(* 1/3 (* x x))

series262.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(* x (+ (* 1/3 (* x x)) 2))
100.0ms	(* 1/60 (pow x 5))
38.0ms	(* 1/3 (* x x))

simplify3.0s

Counts

78 → 78

Iterations

Iter	Nodes
done	5003
2	1263
1	360
0	122

prune669.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize46.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1/60 (pow x 5))
0.1b	(* x (* 1/3 (* x x)))
0.2b	(* 1/3 (* x x))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
19×	`add-cbrt-cube`
17×	`pow1`
14×	`add-sqr-sqrt`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`associate-r` `associate-l` `pow-prod-down`
8×	`*-un-lft-identity` `add-cube-cbrt`
4×	`unpow-prod-down` `unswap-sqr`
3×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-exp`

Counts

3 → 68

Calls

3 calls:

31.0ms	(* 1/60 (pow x 5))
73.0ms	(* x (* 1/3 (* x x)))
22.0ms	(* 1/3 (* x x))

series249.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(* 1/60 (pow x 5))
84.0ms	(* x (* 1/3 (* x x)))
57.0ms	(* 1/3 (* x x))

simplify8.3s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
3	3465
2	815
1	259
0	104

prune578.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ -1 (exp x))
6.2b	(+ (/ -1 (exp x)) (exp x))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `add-exp-log` `associate-/l`
2×	`pow1` `insert-posit16`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 41

Calls

2 calls:

18.0ms	(/ -1 (exp x))
43.0ms	(+ (/ -1 (exp x)) (exp x))

series141.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ -1 (exp x))
103.0ms	(+ (/ -1 (exp x)) (exp x))

simplify3.2s

Counts

47 → 47

Iterations

Iter	Nodes
done	5002
3	1338
2	455
1	195
0	87

prune373.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	21
1	21
0	15

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.8s	3398×	body	1280	valid
1.2s	2462×	body	640	valid
349.0ms	8202×	body	80	valid
314.0ms	1246×	body	320	valid
67.0ms	623×	body	160	valid