Details

sample229.0ms

Algorithm

intervals

Results

185.0ms	260×	body	10240	exit
17.0ms	200×	body	80	valid
7.0ms	26×	body	320	valid
5.0ms	13×	body	640	valid
3.0ms	17×	body	160	valid

simplify187.0ms

Calls

1 calls:

Slowest

187.0ms

(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize25.0ms

Local error

Found 4 expressions with local error:

3.8b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
0.3b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
0.0b	(+ (exp wj) (* wj (exp wj)))
0.0b	(* wj (exp wj))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`times-frac` `add-cube-cbrt`
8×	`add-cbrt-cube` `add-log-exp`
7×	`add-exp-log`
6×	`pow1`
5×	`associate-/r*` `distribute-rgt-out` `distribute-rgt1-in`
4×	`insert-posit16`
3×	`associate-r` `associate-l` `associate-/l*`
2×	`flip3-+` `flip3--` `div-sub` `associate-/r/` `flip-+` `flip--` `difference-of-squares` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out--` `associate--r-` `unswap-sqr`

Calls

4 calls:

Slowest

61.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
58.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
12.0ms	(+ (exp wj) (* wj (exp wj)))
9.0ms	(* wj (exp wj))

series243.0ms

Calls

4 calls:

Slowest

89.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
63.0ms	(+ (exp wj) (* wj (exp wj)))
55.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
37.0ms	(* wj (exp wj))

simplify6.3s

Calls

77 calls:

Slowest

689.0ms	(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
457.0ms	(- (pow (* wj (exp wj)) 3) (pow x 3))
456.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
430.0ms	(+ (sqrt wj) (sqrt (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))))
404.0ms	(- (sqrt wj) (sqrt (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))))

prune1.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (+ wj (* -2 x)) wj))
0.0b	(* (+ wj (* -2 x)) wj)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`flip3-+` `associate-*l/` `flip-+` `insert-posit16`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Calls

2 calls:

Slowest

26.0ms	(* (+ wj (* -2 x)) wj)
13.0ms	(+ x (* (+ wj (* -2 x)) wj))

series132.0ms

Calls

2 calls:

Slowest

76.0ms	(* (+ wj (* -2 x)) wj)
56.0ms	(+ x (* (+ wj (* -2 x)) wj))

simplify1.5s

Calls

18 calls:

Slowest

320.0ms	(* (exp x) (exp (* (+ wj (* -2 x)) wj)))
192.0ms	(* (+ (pow wj 3) (pow (* -2 x) 3)) wj)
148.0ms	(- (+ x (pow wj 2)) (* 2 (* x wj)))
146.0ms	(- (+ (pow wj 2) x) (* 2 (* x wj)))
138.0ms	(- (+ x (pow wj 2)) (* 2 (* x wj)))

prune350.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt wj)
0.6b	(cbrt wj)
0.6b	(cbrt wj)
0.5b	(* (cbrt wj) (cbrt wj))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Calls

4 calls:

Slowest

13.0ms	(* (cbrt wj) (cbrt wj))
1.0ms	(cbrt wj)
1.0ms	(cbrt wj)
1.0ms	(cbrt wj)

series1.1s

Calls

4 calls:

Slowest

316.0ms	(* (cbrt wj) (cbrt wj))
289.0ms	(cbrt wj)
273.0ms	(cbrt wj)
271.0ms	(cbrt wj)

simplify788.0ms

Calls

63 calls:

Slowest

126.0ms	(* (pow (* wj -1) 1/3) (cbrt -1))
114.0ms	(* (pow (* wj -1) 1/3) (cbrt -1))
112.0ms	(* (pow (* wj -1) 1/3) (cbrt -1))
83.0ms	(* (pow (cbrt -1) 2) (pow (pow wj 2) 1/3))
55.0ms	(* (* (cbrt (cbrt wj)) (cbrt (cbrt wj))) (* (cbrt (cbrt wj)) (cbrt (cbrt wj))))

prune979.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.3b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt wj) (cbrt wj)))
0.6b	(cbrt wj)
0.6b	(cbrt wj)
0.6b	(cbrt wj)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`

Calls

4 calls:

Slowest

6.0ms	(cbrt (* (cbrt wj) (cbrt wj)))
1.0ms	(cbrt wj)
1.0ms	(cbrt wj)
1.0ms	(cbrt wj)

series1.3s

Calls

4 calls:

Slowest

446.0ms	(cbrt (* (cbrt wj) (cbrt wj)))
307.0ms	(cbrt wj)
280.0ms	(cbrt wj)
254.0ms	(cbrt wj)

simplify706.0ms

Calls

22 calls:

Slowest

161.0ms	(* (pow (pow (cbrt -1) 2) 1/3) (pow (pow wj 2) 1/9))
124.0ms	(* (pow (* wj -1) 1/3) (cbrt -1))
121.0ms	(* (pow (* wj -1) 1/3) (cbrt -1))
117.0ms	(* (pow (* wj -1) 1/3) (cbrt -1))
38.0ms	(pow (/ 1 wj) -1/3)

prune1.1s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.3b

regimes193.0ms

Accuracy

0% (2.0b remaining)

Error of 2.3b against oracle of 0.3b and baseline of 2.3b

bsearch2.0ms

end0.0ms

sample8.3s

Algorithm

intervals

Results

6.4s	7707×	body	10240	exit
1.0s	6343×	body	80	valid
288.0ms	750×	body	320	valid
234.0ms	460×	body	640	valid
98.0ms	532×	body	160	valid