Details

sample161.0ms

Algorithm

intervals

Results

77.0ms	107×	body	1280	valid
33.0ms	75×	body	640	valid
22.0ms	267×	body	80	valid
14.0ms	48×	body	320	valid
3.0ms	17×	body	160	valid

simplify26.0ms

Counts

1 → 1

Iterations

Iter	Nodes
7	38
6	38
5	37
4	35
3	31
2	24
1	14
0	7

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize13.0ms

Local error

Found 1 expressions with local error:

5.7b	(- (exp x) (exp (- x)))

rewrite14.0ms

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:

14.0ms

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

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

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

simplify2.6s

Counts

18 → 18

Iterations

Iter	Nodes
5	5349
4	1659
3	631
2	259
1	111
0	47

prune157.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log`
13×	`add-cbrt-cube`
11×	`pow1` `associate-r`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-l`
7×	`prod-exp`
6×	`add-log-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down` `pow-prod-down` `insert-posit16`
3×	`*-commutative`
2×	`flip3-+` `associate-*l/` `flip-+` `sqr-pow`
1×	`pow-to-exp` `+-commutative` `sum-log` `pow-exp`

Counts

4 → 79

Calls

4 calls:

16.0ms	(* (+ 2 (* 1/3 (* x x))) x)
12.0ms	(+ (* (+ 2 (* 1/3 (* x x))) x) (* 1/60 (pow x 5)))
8.0ms	(* 1/60 (pow x 5))
25.0ms	(* 1/3 (* x x))

series274.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (+ 2 (* 1/3 (* x x))) x)
82.0ms	(+ (* (+ 2 (* 1/3 (* x x))) x) (* 1/60 (pow x 5)))
66.0ms	(* 1/60 (pow x 5))
35.0ms	(* 1/3 (* x x))

simplify2.8s

Counts

91 → 91

Iterations

Iter	Nodes
3	5757
2	1195
1	369
0	138

prune788.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 1/3 (* x x))
0.2b	(* 1/3 (* x x))
0.2b	(* 1/3 (* x x))
38.0b	(cbrt (* (* (* (+ 2 (* 1/3 (* x x))) x) (* (+ 2 (* 1/3 (* x x))) x)) (* (+ 2 (* 1/3 (* x x))) x)))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

68×	`associate-*l/`
28×	`frac-times`
27×	`flip3-+` `flip-+`
26×	`cbrt-div`
19×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
9×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-*r/`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`insert-posit16` `add-log-exp`
3×	`associate-r` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 97

Calls

4 calls:

31.0ms	(* 1/3 (* x x))
15.0ms	(* 1/3 (* x x))
13.0ms	(* 1/3 (* x x))
159.0ms	(cbrt (* (* (* (+ 2 (* 1/3 (* x x))) x) (* (+ 2 (* 1/3 (* x x))) x)) (* (+ 2 (* 1/3 (* x x))) x)))

series301.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* 1/3 (* x x))
47.0ms	(* 1/3 (* x x))
41.0ms	(* 1/3 (* x x))
172.0ms	(cbrt (* (* (* (+ 2 (* 1/3 (* x x))) x) (* (+ 2 (* 1/3 (* x x))) x)) (* (+ 2 (* 1/3 (* x x))) x)))

simplify6.0s

Counts

109 → 109

Iterations

Iter	Nodes
3	11618
2	1799
1	431
0	160

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ -1 (exp x))
5.7b	(+ (exp x) (/ -1 (exp x)))

rewrite15.0ms

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:

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

series90.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ -1 (exp x))
67.0ms	(+ (exp x) (/ -1 (exp x)))

simplify2.3s

Counts

47 → 47

Iterations

Iter	Nodes
4	7125
3	1309
2	436
1	191
0	87

prune283.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	18
1	18
0	13

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.3s	3442×	body	1280	valid
1.1s	8234×	body	80	valid
1.1s	2419×	body	640	valid
318.0ms	1254×	body	320	valid
125.0ms	611×	body	160	valid