Details

sample48.0ms

Algorithm

intervals

Results

22.0ms	62×	body	1280	valid
8.0ms	143×	body	80	valid
6.0ms	24×	body	640	valid
3.0ms	17×	body	320	valid
1.0ms	10×	body	160	valid

simplify119.0ms

Calls

1 calls:

Slowest

119.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.5b

localize23.0ms

Local error

Found 3 expressions with local error:

3.0b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(/ 2 (+ 1 (exp (* -2 x))))
0.0b	(+ 1 (exp (* -2 x)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `difference-of-squares`
3×	`pow1` `insert-posit16` `associate-/l*`
2×	`flip3-+` `difference-of-sqr-1` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `div-inv` `flip--` `distribute-lft-out--`

Calls

3 calls:

Slowest

44.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
16.0ms	(/ 2 (+ 1 (exp (* -2 x))))
9.0ms	(+ 1 (exp (* -2 x)))

series131.0ms

Calls

3 calls:

Slowest

81.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
35.0ms	(/ 2 (+ 1 (exp (* -2 x))))
15.0ms	(+ 1 (exp (* -2 x)))

simplify5.8s

Calls

57 calls:

Slowest

330.0ms	(- (/ (sqrt 2) (sqrt (+ 1 (exp (* -2 x))))) (sqrt 1))
314.0ms	(/ (* (* 2 2) 2) (* (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x)))))
312.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
209.0ms	(- (+ x 1) (* 1/3 (pow x 3)))
193.0ms	(+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x)))))

prune578.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

3.0b	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
0.0b	(/ 2 (+ (exp (* -2 x)) 1))
0.0b	(+ (exp (* -2 x)) 1)

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `difference-of-squares`
3×	`pow1` `insert-posit16` `associate-/l*`
2×	`flip3-+` `difference-of-sqr-1` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `div-inv` `flip--` `distribute-lft-out--`

Calls

3 calls:

Slowest

62.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
16.0ms	(/ 2 (+ (exp (* -2 x)) 1))
9.0ms	(+ (exp (* -2 x)) 1)

series88.0ms

Calls

3 calls:

Slowest

57.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
20.0ms	(/ 2 (+ (exp (* -2 x)) 1))
11.0ms	(+ (exp (* -2 x)) 1)

simplify6.7s

Calls

57 calls:

Slowest

445.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
300.0ms	(/ (* (* 2 2) 2) (* (* (+ (exp (* -2 x)) 1) (+ (exp (* -2 x)) 1)) (+ (exp (* -2 x)) 1)))
283.0ms	(+ (* (exp (* -2 x)) (exp (* -2 x))) (- (* 1 1) (* (exp (* -2 x)) 1)))
209.0ms	(- (+ x 1) (* 1/3 (pow x 3)))
184.0ms	(/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ (exp (* -2 x)) 1)) (cbrt (+ (exp (* -2 x)) 1))))

prune692.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

20.4b	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
0.2b	(* (* x x) -1/3)
0.1b	(* (* (* x x) -1/3) x)
0.1b	(* (pow x 5) 2/15)

rewrite396.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow1`
15×	`add-sqr-sqrt`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`-un-lft-identity` `associate-r` `associate-l*` `pow-prod-down` `add-cube-cbrt` `add-log-exp`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`sum-log` `*-commutative`
2×	`sqr-pow`
1×	`pow-to-exp` `+-commutative` `associate-+l+` `flip3-+` `pow-exp` `flip-+`

Calls

4 calls:

Slowest

303.0ms	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
55.0ms	(* (* (* x x) -1/3) x)
20.0ms	(* (* x x) -1/3)
16.0ms	(* (pow x 5) 2/15)

series306.0ms

Calls

4 calls:

Slowest

103.0ms	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
81.0ms	(* (pow x 5) 2/15)
73.0ms	(* (* (* x x) -1/3) x)
49.0ms	(* (* x x) -1/3)

simplify4.5s

Calls

55 calls:

Slowest

609.0ms	(* (* (* (* (* x x) -1/3) (* (* x x) -1/3)) (* (* x x) -1/3)) (* (* x x) x))
391.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
387.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
373.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
317.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* -1/3 -1/3) -1/3))

prune763.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes138.0ms

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

995.0ms	1777×	body	1280	valid
807.0ms	4101×	body	80	valid
525.0ms	1181×	body	640	valid
222.0ms	649×	body	320	valid
86.0ms	292×	body	160	valid