Details

sample107.0ms

Algorithm

intervals

Results

40.0ms	60×	body	1280	valid
24.0ms	130×	body	80	valid
21.0ms	41×	body	640	valid
6.0ms	17×	body	320	valid
2.0ms	8×	body	160	valid

simplify48.0ms

Calls

1 calls:

Slowest

48.0ms

(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.7b

localize22.0ms

Local error

Found 2 expressions with local error:

2.6b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(/ 2 (+ 1 (exp (* -2 x))))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt`
3×	`associate-/r` `-un-lft-identity` `add-cube-cbrt`
2×	`pow1` `add-cbrt-cube` `add-exp-log` `associate-/r/` `insert-posit16` `add-log-exp`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `difference-of-sqr-1` `flip-+` `div-inv` `flip--`

Calls

2 calls:

Slowest

5.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
1.0ms	(/ 2 (+ 1 (exp (* -2 x))))

series76.0ms

Calls

2 calls:

Slowest

52.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
24.0ms	(/ 2 (+ 1 (exp (* -2 x))))

simplify617.0ms

Calls

12 calls:

Slowest

164.0ms	(+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x)))))
101.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
72.0ms	(- (+ x 1) (* 1/3 (pow x 3)))
48.0ms	(+ (sqrt (/ 2 (+ 1 (exp (* -2 x))))) 1)
40.0ms	(/ 2 (+ (exp (* -2 x)) 1))

prune370.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize1.0ms

Local error

Found 2 expressions with local error:

2.6b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(/ 2 (+ 1 (exp (* -2 x))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt`
3×	`associate-/r` `-un-lft-identity` `add-cube-cbrt`
2×	`pow1` `add-cbrt-cube` `add-exp-log` `associate-/r/` `insert-posit16` `add-log-exp`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `difference-of-sqr-1` `flip-+` `div-inv` `flip--`

Calls

2 calls:

Slowest

9.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
2.0ms	(/ 2 (+ 1 (exp (* -2 x))))

series90.0ms

Calls

2 calls:

Slowest

64.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
26.0ms	(/ 2 (+ 1 (exp (* -2 x))))

simplify592.0ms

Calls

12 calls:

Slowest

163.0ms	(+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x)))))
101.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
67.0ms	(- (+ x 1) (* 1/3 (pow x 3)))
40.0ms	(/ 2 (+ (exp (* -2 x)) 1))
35.0ms	(/ 2 (+ (exp (* -2 x)) 1))

prune356.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

20.2b	(+ (* (pow x 5) 2/15) (* x (* (* x x) -1/3)))
0.2b	(* (* x x) -1/3)
0.1b	(* x (* (* x x) -1/3))
0.0b	(* (pow x 5) 2/15)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `insert-posit16`
3×	`*-commutative`
1×	`+-commutative` `sum-log` `flip3-+` `associate-r` `flip-+`

Calls

4 calls:

Slowest

9.0ms	(* x (* (* x x) -1/3))
5.0ms	(+ (* (pow x 5) 2/15) (* x (* (* x x) -1/3)))
3.0ms	(* (* x x) -1/3)
2.0ms	(* (pow x 5) 2/15)

series163.0ms

Calls

4 calls:

Slowest

81.0ms	(+ (* (pow x 5) 2/15) (* x (* (* x x) -1/3)))
34.0ms	(* (pow x 5) 2/15)
28.0ms	(* x (* (* x x) -1/3))
19.0ms	(* (* x x) -1/3)

simplify450.0ms

Calls

15 calls:

Slowest

83.0ms	(* (exp (* (pow x 5) 2/15)) (exp (* x (* (* x x) -1/3))))
82.0ms	(- (* 2/15 (pow x 5)) (* 1/3 (pow x 3)))
74.0ms	(- (* 2/15 (pow x 5)) (* 1/3 (pow x 3)))
68.0ms	(- (* 2/15 (pow x 5)) (* 1/3 (pow x 3)))
20.0ms	(* -1/3 (pow x 3))

prune626.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes268.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.2b

bsearch145.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

993.0ms	1720×	body	1280	valid
847.0ms	4105×	body	80	valid
482.0ms	1246×	body	640	valid
249.0ms	609×	body	320	valid
55.0ms	320×	body	160	valid