Details

sample131.0ms

Algorithm

intervals

Results

94.0ms	192×	body	1280	valid
12.0ms	242×	body	80	valid
9.0ms	32×	body	640	valid
3.0ms	18×	body	320	valid
1.0ms	9×	body	160	valid

simplify44.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

44.0ms

(+ (- (exp x) 2) (exp (- x)))

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.8b

localize14.0ms

Local error

Found 2 expressions with local error:

4.5b	(+ (- (exp x) 2) (exp (- x)))
0.0b	(- (exp x) 2)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `frac-add`
3×	`flip3--` `flip--`
2×	`neg-sub0` `exp-neg` `pow1` `associate-+l+` `sum-log` `sub-neg` `add-cbrt-cube` `exp-diff` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `flip3-+` `associate-+l-` `flip-+` `difference-of-squares`

Counts

2 → 37

Calls

2 calls:

Slowest

32.0ms	(+ (- (exp x) 2) (exp (- x)))
8.0ms	(- (exp x) 2)

series80.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

67.0ms	(+ (- (exp x) 2) (exp (- x)))
13.0ms	(- (exp x) 2)

simplify5.7s

Counts

51 → 43

Calls

51 calls:

Slowest

528.0ms	(* (* (+ (- (exp x) 2) (exp (- x))) (+ (- (exp x) 2) (exp (- x)))) (+ (- (exp x) 2) (exp (- x))))
442.0ms	(+ (* (- (exp x) 2) (- (exp x) 2)) (- (* (exp (- x)) (exp (- x))) (* (- (exp x) 2) (exp (- x)))))
432.0ms	(+ (* (- (* (exp x) (exp x)) (* 2 2)) (exp x)) (* (+ (exp x) 2) (exp 0)))
404.0ms	(+ (* (- (* (exp x) (exp x)) (* 2 2)) (exp x)) (* (+ (exp x) 2) 1))
391.0ms	(- (* (- (exp x) 2) (- (exp x) 2)) (* (exp (- x)) (exp (- x))))

prune321.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) (* x x))
0.1b	(* (* x x) (* x x))
0.1b	(* 1/12 (* (* x x) (* x x)))
0.1b	(* (* (* x x) (* (* x x) (* x x))) 1/360)

rewrite392.0ms

Algorithm

rewrite-expression-head

Rules

297×	`pow1`
101×	`pow-prod-down`
99×	`add-cbrt-cube` `add-exp-log`
72×	`pow-prod-up`
71×	`prod-exp` `cbrt-unprod`
44×	`pow-sqr`
36×	`pow-plus`
26×	`pow2`
7×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`swap-sqr`

Counts

4 → 203

Calls

4 calls:

Slowest

266.0ms	(* (* (* x x) (* (* x x) (* x x))) 1/360)
74.0ms	(* 1/12 (* (* x x) (* x x)))
22.0ms	(* (* x x) (* x x))
22.0ms	(* (* x x) (* x x))

series206.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

69.0ms	(* (* (* x x) (* (* x x) (* x x))) 1/360)
51.0ms	(* (* x x) (* x x))
45.0ms	(* 1/12 (* (* x x) (* x x)))
42.0ms	(* (* x x) (* x x))

simplify21.5s

Counts

214 → 215

Calls

214 calls:

Slowest

831.0ms	(* (* (* 1/12 (* (* x x) (* x x))) (* 1/12 (* (* x x) (* x x)))) (* 1/12 (* (* x x) (* x x))))
738.0ms	(* (* (* 1/12 1/12) 1/12) (* (* (* (* x x) x) (* (* x x) x)) (* (* (* x x) x) (* (* x x) x))))
658.0ms	(* (* (* 1/12 1/12) 1/12) (* (* (* (* x x) (* x x)) (* (* x x) (* x x))) (* (* x x) (* x x))))
652.0ms	(* (* (* x x) (* (* x x) (* x x))) (sqrt 1/360))
636.0ms	(* (cbrt (* (* (* x x) (* (* x x) (* x x))) 1/360)) (cbrt (* (* (* x x) (* (* x x) (* x x))) 1/360)))

prune1.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

4.0b	(+ (* (+ (* (exp x) (exp x)) -3) (exp x)) 2)
0.0b	(* (+ (exp x) 2) (exp x))
0.0b	(* (exp x) (exp x))
0.0b	(* (+ (* (exp x) (exp x)) -3) (exp x))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`exp-prod` `add-cube-cbrt`
15×	`pow1`
10×	`add-cbrt-cube` `associate-l`
9×	`associate-r`
6×	`pow-prod-down` `add-exp-log` `add-log-exp`
4×	`associate-*l/` `pow-sqr` `pow-prod-up` `insert-posit16`
3×	`flip3-+` `swap-sqr` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`pow2` `+-commutative` `sum-log` `pow-plus` `distribute-lft-out`

Counts

4 → 90

Calls

4 calls:

Slowest

66.0ms	(* (+ (* (exp x) (exp x)) -3) (exp x))
51.0ms	(* (+ (exp x) 2) (exp x))
29.0ms	(* (exp x) (exp x))
26.0ms	(+ (* (+ (* (exp x) (exp x)) -3) (exp x)) 2)

series147.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

68.0ms	(+ (* (+ (* (exp x) (exp x)) -3) (exp x)) 2)
42.0ms	(* (+ (* (exp x) (exp x)) -3) (exp x))
22.0ms	(* (+ (exp x) 2) (exp x))
15.0ms	(* (exp x) (exp x))

simplify10.2s

Counts

105 → 102

Calls

105 calls:

Slowest

892.0ms	(+ (* (* (+ (* (exp x) (exp x)) -3) (exp x)) (* (+ (* (exp x) (exp x)) -3) (exp x))) (- (* 2 2) (* (* (+ (* (exp x) (exp x)) -3) (exp x)) 2)))
773.0ms	(* (* (* (+ (* (exp x) (exp x)) -3) (exp x)) (* (+ (* (exp x) (exp x)) -3) (exp x))) (* (+ (* (exp x) (exp x)) -3) (exp x)))
676.0ms	(* (* (* (+ (exp x) 2) (exp x)) (* (+ (exp x) 2) (exp x))) (* (+ (exp x) 2) (exp x)))
554.0ms	(* (* (* (+ (exp x) 2) (+ (exp x) 2)) (+ (exp x) 2)) (* (* (exp x) (exp x)) (exp x)))
426.0ms	(+ (pow (* (+ (* (exp x) (exp x)) -3) (exp x)) 3) (pow 2 3))

prune996.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

4.0b	(+ (* (+ (* (exp x) (exp x)) -3) (exp x)) 2)
0.0b	(* (cbrt (exp x)) (cbrt (exp x)))
0.0b	(* (* (+ (exp x) 2) (* (cbrt (exp x)) (cbrt (exp x)))) (cbrt (exp x)))
0.0b	(* (exp x) (exp x))

rewrite228.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
27×	`pow1`
24×	`*-un-lft-identity` `add-cube-cbrt`
19×	`cbrt-prod`
18×	`exp-prod`
15×	`associate-r` `add-exp-log`
12×	`pow-prod-down`
10×	`add-cbrt-cube` `associate-l`
9×	`swap-sqr`
8×	`prod-exp` `cbrt-unprod`
6×	`pow1/3` `pow-sqr` `pow-prod-up` `add-log-exp`
5×	`unswap-sqr`
4×	`associate-*l/` `insert-posit16`
3×	`*-commutative`
2×	`pow2` `flip3-+` `pow-plus` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 115

Calls

4 calls:

Slowest

149.0ms	(* (* (+ (exp x) 2) (* (cbrt (exp x)) (cbrt (exp x)))) (cbrt (exp x)))
29.0ms	(* (cbrt (exp x)) (cbrt (exp x)))
25.0ms	(* (exp x) (exp x))
22.0ms	(+ (* (+ (* (exp x) (exp x)) -3) (exp x)) 2)

series237.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

105.0ms	(* (cbrt (exp x)) (cbrt (exp x)))
95.0ms	(+ (* (+ (* (exp x) (exp x)) -3) (exp x)) 2)
23.0ms	(* (* (+ (exp x) 2) (* (cbrt (exp x)) (cbrt (exp x)))) (cbrt (exp x)))
15.0ms	(* (exp x) (exp x))

simplify11.8s

Counts

137 → 127

Calls

137 calls:

Slowest

647.0ms	(* (* (* (* (+ (exp x) 2) (+ (exp x) 2)) (+ (exp x) 2)) (* (exp x) (exp x))) (exp x))
497.0ms	(* (* (+ (pow (exp x) 3) (pow 2 3)) (* (cbrt (exp x)) (cbrt (exp x)))) (cbrt (exp x)))
495.0ms	(+ (pow (* (+ (* (exp x) (exp x)) -3) (exp x)) 3) (pow 2 3))
420.0ms	(+ (* (* (+ (* (exp x) (exp x)) -3) (exp x)) (* (+ (* (exp x) (exp x)) -3) (exp x))) (- (* 2 2) (* (* (+ (* (exp x) (exp x)) -3) (exp x)) 2)))
412.0ms	(* (* (+ (exp x) 2) (* (cbrt (exp x)) (cbrt (exp x)))) (* (cbrt (cbrt (exp x))) (cbrt (cbrt (exp x)))))

prune1.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes46.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch4.0ms

end0.0ms

sample6.1s

Algorithm

intervals

Results

4.2s	5739×	body	1280	valid
985.0ms	8069×	body	80	valid
475.0ms	1215×	body	640	valid
184.0ms	599×	body	320	valid
44.0ms	289×	body	160	valid