Details

sample213.0ms

Algorithm

intervals

Results

165.0ms	239×	body	10240	exit
15.0ms	197×	body	80	valid
7.0ms	28×	body	320	valid
6.0ms	16×	body	640	valid
3.0ms	17×	body	160	valid

simplify206.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

206.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize36.0ms

Local error

Found 4 expressions with local error:

5.3b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
0.7b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
0.0b	(+ (exp wj) (* wj (exp wj)))
0.0b	(* wj (exp wj))

rewrite123.0ms

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`

Counts

4 → 91

Calls

4 calls:

Slowest

46.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
41.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
17.0ms	(* wj (exp wj))
16.0ms	(+ (exp wj) (* wj (exp wj)))

series214.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

75.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
61.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
46.0ms	(+ (exp wj) (* wj (exp wj)))
31.0ms	(* wj (exp wj))

simplify5.9s

Counts

77 → 103

Calls

77 calls:

Slowest

603.0ms	(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
427.0ms	(+ (sqrt wj) (sqrt (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))))
408.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
392.0ms	(- (sqrt wj) (sqrt (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))))
379.0ms	(- (pow (* wj (exp wj)) 3) (pow x 3))

prune875.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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`

Counts

2 → 33

Calls

2 calls:

Slowest

25.0ms	(* (+ wj (* -2 x)) wj)
6.0ms	(+ x (* (+ wj (* -2 x)) wj))

series117.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

62.0ms	(* (+ wj (* -2 x)) wj)
55.0ms	(+ x (* (+ wj (* -2 x)) wj))

simplify1.4s

Counts

18 → 39

Calls

18 calls:

Slowest

267.0ms	(* (exp x) (exp (* (+ wj (* -2 x)) wj)))
213.0ms	(* (+ (pow wj 3) (pow (* -2 x) 3)) wj)
166.0ms	(- (+ x (pow wj 2)) (* 2 (* x wj)))
139.0ms	(* (* (* (+ wj (* -2 x)) (+ wj (* -2 x))) (+ wj (* -2 x))) (* (* wj wj) wj))
122.0ms	(- (+ x (pow wj 2)) (* 2 (* x wj)))

prune307.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

13.9b	(cbrt (* (+ wj (* -2 x)) wj))
13.9b	(cbrt (* (+ wj (* -2 x)) wj))
13.9b	(cbrt (* (+ wj (* -2 x)) wj))
0.5b	(* (cbrt (* (+ wj (* -2 x)) wj)) (cbrt (* (+ wj (* -2 x)) wj)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `associate-*r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

Slowest

19.0ms	(* (cbrt (* (+ wj (* -2 x)) wj)) (cbrt (* (+ wj (* -2 x)) wj)))
8.0ms	(cbrt (* (+ wj (* -2 x)) wj))
4.0ms	(cbrt (* (+ wj (* -2 x)) wj))
4.0ms	(cbrt (* (+ wj (* -2 x)) wj))

series1.6s

Counts

4 → 12

Calls

4 calls:

Slowest

434.0ms	(cbrt (* (+ wj (* -2 x)) wj))
388.0ms	(cbrt (* (+ wj (* -2 x)) wj))
386.0ms	(* (cbrt (* (+ wj (* -2 x)) wj)) (cbrt (* (+ wj (* -2 x)) wj)))
357.0ms	(cbrt (* (+ wj (* -2 x)) wj))

simplify7.4s

Counts

63 → 88

Calls

63 calls:

Slowest

747.0ms	(exp (* 1/3 (+ (* 2 (log wj)) (+ (log 4) (* 2 (log x))))))
482.0ms	(* (cbrt (* (- (* wj wj) (* (* -2 x) (* -2 x))) wj)) (cbrt (* (+ wj (* -2 x)) wj)))
415.0ms	(* (cbrt (* (+ (pow wj 3) (pow (* -2 x) 3)) wj)) (cbrt (* (- (* wj wj) (* (* -2 x) (* -2 x))) wj)))
335.0ms	(* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 wj)))))))
335.0ms	(* (cbrt (* (- (* wj wj) (* (* -2 x) (* -2 x))) wj)) (cbrt (* (+ (pow wj 3) (pow (* -2 x) 3)) wj)))

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize80.0ms

Local error

Found 4 expressions with local error:

13.9b	(cbrt (* (+ wj (* -2 x)) wj))
13.9b	(cbrt (* (+ wj (* -2 x)) wj))
13.9b	(cbrt (* (+ wj (* -2 x)) wj))
13.9b	(cbrt (* (+ wj (* -2 x)) wj))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-div` `associate-*l/`
4×	`cbrt-prod` `add-sqr-sqrt` `pow1` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16` `add-log-exp`

Counts

4 → 48

Calls

4 calls:

Slowest

9.0ms	(cbrt (* (+ wj (* -2 x)) wj))
9.0ms	(cbrt (* (+ wj (* -2 x)) wj))
9.0ms	(cbrt (* (+ wj (* -2 x)) wj))
9.0ms	(cbrt (* (+ wj (* -2 x)) wj))

series1.6s

Counts

4 → 12

Calls

4 calls:

Slowest

449.0ms	(cbrt (* (+ wj (* -2 x)) wj))
409.0ms	(cbrt (* (+ wj (* -2 x)) wj))
385.0ms	(cbrt (* (+ wj (* -2 x)) wj))
383.0ms	(cbrt (* (+ wj (* -2 x)) wj))

simplify3.2s

Counts

24 → 60

Calls

24 calls:

Slowest

300.0ms	(* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 wj)))))))
263.0ms	(* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 wj)))))))
237.0ms	(* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 wj)))))))
233.0ms	(* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 wj)))))))
207.0ms	(exp (* 1/3 (+ (log wj) (+ (log -2) (log x)))))

prune828.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

regimes184.0ms

Accuracy

70.1% (0.6b remaining)

Error of 0.9b against oracle of 0.3b and baseline of 2.3b

bsearch6.0ms

end0.0ms

sample8.2s

Algorithm

intervals

Results

6.7s	7530×	body	10240	exit
643.0ms	6341×	body	80	valid
246.0ms	784×	body	320	valid
202.0ms	433×	body	640	valid
93.0ms	520×	body	160	valid