Details

sample170.0ms

Algorithm

intervals

Results

115.0ms	194×	body	1280	valid
23.0ms	262×	body	80	valid
12.0ms	33×	body	640	valid
3.0ms	11×	body	320	valid
2.0ms	12×	body	160	valid

simplify175.0ms

Counts: 1 → 1

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 26.9b

localize19.0ms

Local error

Found 2 expressions with local error:

3.8b	(+ (- (exp x) 2) (exp (- x)))
0.0b	(- (exp x) 2)

rewrite51.0ms

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

39.0ms	(+ (- (exp x) 2) (exp (- x)))
12.0ms	(- (exp x) 2)

series88.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

75.0ms	(+ (- (exp x) 2) (exp (- x)))
13.0ms	(- (exp x) 2)

simplify769.0ms

Counts: 43 → 43

prune402.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x x) (* x x))
0.1b	(* 1/360 (* (* x x) x))
0.1b	(* (* (* x x) (* x x)) 1/12)
0.0b	(* (* (* x x) x) (* 1/360 (* (* x x) x)))

rewrite361.0ms

Algorithm

rewrite-expression-head

Rules

196×	`pow1`
97×	`add-cbrt-cube` `add-exp-log`
84×	`pow-prod-down`
69×	`prod-exp` `cbrt-unprod`
36×	`pow-prod-up`
22×	`pow-sqr`
18×	`pow-plus`
13×	`pow2`
7×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`unswap-sqr`
1×	`swap-sqr`

Counts

4 → 162

Calls

4 calls:

Slowest

199.0ms	(* (* (* x x) x) (* 1/360 (* (* x x) x)))
73.0ms	(* (* (* x x) (* x x)) 1/12)
57.0ms	(* 1/360 (* (* x x) x))
25.0ms	(* (* x x) (* x x))

series222.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

66.0ms	(* (* (* x x) x) (* 1/360 (* (* x x) x)))
59.0ms	(* (* (* x x) (* x x)) 1/12)
51.0ms	(* 1/360 (* (* x x) x))
46.0ms	(* (* x x) (* x x))

simplify2.3s

Counts: 174 → 174

prune1.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

3.8b	(+ (+ (exp x) 2) (* (+ (* (exp x) (exp x)) -4) (exp x)))
0.0b	(* (exp x) (exp x))
0.0b	(* (+ (* (exp x) (exp x)) -4) (exp x))
0.0b	(/ (+ (+ (exp x) 2) (* (+ (* (exp x) (exp x)) -4) (exp x))) (* (+ (exp x) 2) (exp x)))

rewrite343.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
18×	`exp-prod` `*-un-lft-identity` `add-cube-cbrt`
13×	`pow1` `add-cbrt-cube`
12×	`flip3-+` `associate-*l/` `flip-+`
9×	`add-exp-log` `add-log-exp`
8×	`frac-add`
6×	`associate-r` `associate-l` `associate-/l/`
5×	`pow-prod-down`
4×	`pow-sqr` `pow-prod-up` `insert-posit16`
3×	`sum-log` `times-frac` `swap-sqr` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`pow2` `+-commutative` `associate-+l+` `clear-num` `associate-/r*` `frac-2neg` `pow-plus` `div-inv`

Counts

4 → 104

Calls

4 calls:

Slowest

180.0ms	(/ (+ (+ (exp x) 2) (* (+ (* (exp x) (exp x)) -4) (exp x))) (* (+ (exp x) 2) (exp x)))
76.0ms	(+ (+ (exp x) 2) (* (+ (* (exp x) (exp x)) -4) (exp x)))
70.0ms	(* (+ (* (exp x) (exp x)) -4) (exp x))
14.0ms	(* (exp x) (exp x))

series407.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

213.0ms	(/ (+ (+ (exp x) 2) (* (+ (* (exp x) (exp x)) -4) (exp x))) (* (+ (exp x) 2) (exp x)))
116.0ms	(+ (+ (exp x) 2) (* (+ (* (exp x) (exp x)) -4) (exp x)))
59.0ms	(* (+ (* (exp x) (exp x)) -4) (exp x))
19.0ms	(* (exp x) (exp x))

simplify1.1s

Counts: 116 → 116

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

3.8b	(- (* (+ (exp x) 2) (+ (exp x) 2)) (* (* (+ (* (exp x) (exp x)) -4) (exp x)) (* (+ (* (exp x) (exp x)) -4) (exp x))))
0.0b	(* (exp x) (exp x))
0.0b	(* (exp x) (exp x))
0.0b	(* (exp x) (exp x))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

128×	`associate-*l/`
96×	`flip3-+` `flip-+`
64×	`frac-times` `frac-sub`
54×	`exp-prod`
40×	`add-sqr-sqrt`
34×	`*-un-lft-identity` `add-cube-cbrt`
32×	`associate-*r/`
25×	`pow1`
12×	`pow-prod-down` `pow-sqr` `pow-prod-up`
10×	`add-cbrt-cube`
9×	`swap-sqr` `associate-r` `associate-l`
6×	`add-log-exp`
4×	`add-exp-log` `insert-posit16`
3×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`associate--l+`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `diff-log` `flip--` `difference-of-squares`

Counts

4 → 185

Calls

4 calls:

Slowest

147.0ms	(- (* (+ (exp x) 2) (+ (exp x) 2)) (* (* (+ (* (exp x) (exp x)) -4) (exp x)) (* (+ (* (exp x) (exp x)) -4) (exp x))))
24.0ms	(* (exp x) (exp x))
17.0ms	(* (exp x) (exp x))
14.0ms	(* (exp x) (exp x))

series304.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

246.0ms	(- (* (+ (exp x) 2) (+ (exp x) 2)) (* (* (+ (* (exp x) (exp x)) -4) (exp x)) (* (+ (* (exp x) (exp x)) -4) (exp x))))
24.0ms	(* (exp x) (exp x))
20.0ms	(* (exp x) (exp x))
14.0ms	(* (exp x) (exp x))

simplify3.2s

Counts: 197 → 197

prune3.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes47.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch2.0ms

end0.0ms

sample5.8s

Algorithm

intervals

Results

3.7s	5696×	body	1280	valid
654.0ms	7947×	body	80	valid
583.0ms	581×	body	320	valid
537.0ms	1238×	body	640	valid
47.0ms	314×	body	160	valid