Details

sample245.0ms

Algorithm

intervals

Results

191.0ms	221×	body	10240	exit
18.0ms	198×	body	80	valid
9.0ms	21×	body	640	valid
7.0ms	21×	body	320	valid
4.0ms	18×	body	160	valid

simplify579.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

578.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize26.0ms

Local error

Found 4 expressions with local error:

4.7b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
1.0b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
0.0b	(* wj (exp wj))
0.0b	(* wj (exp wj))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

Slowest

47.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
38.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
9.0ms	(* wj (exp wj))
9.0ms	(* wj (exp wj))

series210.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

79.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
54.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
40.0ms	(* wj (exp wj))
37.0ms	(* wj (exp wj))

simplify6.7s

Counts

83 → 108

Calls

83 calls:

Slowest

655.0ms	(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
453.0ms	(+ (sqrt wj) (sqrt (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))))
443.0ms	(- (sqrt wj) (sqrt (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))))
400.0ms	(- (pow (* wj (exp wj)) 3) (pow x 3))
396.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))

prune888.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (+ wj (* -2 x)) wj)
0.0b	(+ x (* (+ wj (* -2 x)) wj))

rewrite19.0ms

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

12.0ms	(* (+ wj (* -2 x)) wj)
6.0ms	(+ x (* (+ wj (* -2 x)) wj))

series135.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

82.0ms	(* (+ wj (* -2 x)) wj)
53.0ms	(+ x (* (+ wj (* -2 x)) wj))

simplify1.5s

Counts

18 → 39

Calls

18 calls:

Slowest

341.0ms	(* (exp x) (exp (* (+ wj (* -2 x)) wj)))
183.0ms	(* (+ (pow wj 3) (pow (* -2 x) 3)) wj)
170.0ms	(- (+ (pow wj 2) x) (* 2 (* x wj)))
144.0ms	(* (- (* wj wj) (* (* -2 x) (* -2 x))) wj)
130.0ms	(* (* (* (+ wj (* -2 x)) (+ wj (* -2 x))) (+ wj (* -2 x))) (* (* wj wj) wj))

prune324.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

10.4b	(cbrt (* (+ wj (* -2 x)) wj))
10.4b	(cbrt (* (+ wj (* -2 x)) wj))
10.4b	(cbrt (* (+ wj (* -2 x)) wj))
0.5b	(* (cbrt (* (+ wj (* -2 x)) wj)) (cbrt (* (+ wj (* -2 x)) wj)))

rewrite46.0ms

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

31.0ms	(* (cbrt (* (+ wj (* -2 x)) wj)) (cbrt (* (+ wj (* -2 x)) wj)))
5.0ms	(cbrt (* (+ wj (* -2 x)) wj))
4.0ms	(cbrt (* (+ wj (* -2 x)) wj))
4.0ms	(cbrt (* (+ wj (* -2 x)) wj))

series1.5s

Counts

4 → 12

Calls

4 calls:

Slowest

444.0ms	(cbrt (* (+ wj (* -2 x)) wj))
349.0ms	(* (cbrt (* (+ wj (* -2 x)) wj)) (cbrt (* (+ wj (* -2 x)) wj)))
343.0ms	(cbrt (* (+ wj (* -2 x)) wj))
339.0ms	(cbrt (* (+ wj (* -2 x)) wj))

simplify6.9s

Counts

63 → 88

Calls

63 calls:

Slowest

457.0ms	(* (cbrt (* (- (* wj wj) (* (* -2 x) (* -2 x))) wj)) (cbrt (* (+ wj (* -2 x)) wj)))
358.0ms	(exp (* 1/3 (+ (* 2 (log wj)) (+ (log 4) (* 2 (log x))))))
351.0ms	(* (cbrt (* (+ (pow wj 3) (pow (* -2 x) 3)) wj)) (cbrt (* (- (* wj wj) (* (* -2 x) (* -2 x))) wj)))
317.0ms	(* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 wj)))))))
289.0ms	(* (cbrt (* (- (* wj wj) (* (* -2 x) (* -2 x))) wj)) (cbrt (* (+ (pow wj 3) (pow (* -2 x) 3)) wj)))

prune1000.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

10.4b	(cbrt (* (+ wj (* -2 x)) wj))
10.4b	(cbrt (* (+ wj (* -2 x)) wj))
10.4b	(cbrt (* (+ wj (* -2 x)) wj))
4.9b	(exp (log (* (cbrt (* (+ wj (* -2 x)) wj)) (cbrt (* (+ wj (* -2 x)) wj)))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
12×	`pow1` `exp-prod`
9×	`flip3-+` `pow1/3` `log-pow` `flip-+`
8×	`log-div` `exp-diff`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`frac-times` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`cbrt-prod`
2×	`pow-prod-down` `associate-*r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `log-prod` `pow-plus` `exp-sum` `rem-exp-log`

Counts

4 → 66

Calls

4 calls:

Slowest

41.0ms	(exp (log (* (cbrt (* (+ wj (* -2 x)) wj)) (cbrt (* (+ wj (* -2 x)) wj)))))
5.0ms	(cbrt (* (+ wj (* -2 x)) wj))
5.0ms	(cbrt (* (+ wj (* -2 x)) wj))
5.0ms	(cbrt (* (+ wj (* -2 x)) wj))

series1.6s

Counts

4 → 12

Calls

4 calls:

Slowest

425.0ms	(cbrt (* (+ wj (* -2 x)) wj))
405.0ms	(exp (log (* (cbrt (* (+ wj (* -2 x)) wj)) (cbrt (* (+ wj (* -2 x)) wj)))))
382.0ms	(cbrt (* (+ wj (* -2 x)) wj))
367.0ms	(cbrt (* (+ wj (* -2 x)) wj))

simplify5.3s

Counts

43 → 78

Calls

43 calls:

Slowest

346.0ms	(exp (log (* (cbrt (* (- (* wj wj) (* (* -2 x) (* -2 x))) wj)) (cbrt (* (+ (pow wj 3) (pow (* -2 x) 3)) wj)))))
344.0ms	(exp (log (* (cbrt (* (+ (pow wj 3) (pow (* -2 x) 3)) wj)) (cbrt (* (- (* wj wj) (* (* -2 x) (* -2 x))) wj)))))
318.0ms	(* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 wj)))))))
303.0ms	(exp (* 1/3 (+ (* 2 (log wj)) (+ (log 4) (* 2 (log x))))))
303.0ms	(* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 wj)))))))

prune993.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes110.0ms

Accuracy

62.4% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 2.2b

bsearch50.0ms

end0.0ms

sample9.2s

Algorithm

intervals

Results

7.1s	7650×	body	10240	exit
1.1s	6310×	body	80	valid
340.0ms	487×	body	640	valid
276.0ms	774×	body	320	valid
104.0ms	509×	body	160	valid