Details

sample162.0ms

Algorithm

intervals

Results

124.0ms	218×	body	10240	exit
15.0ms	208×	body	80	valid
6.0ms	25×	body	320	valid
5.0ms	16×	body	640	valid
2.0ms	11×	body	160	valid

simplify154.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

154.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize16.0ms

Local error

Found 4 expressions with local error:

3.6b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
0.5b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
0.0b	(+ (exp wj) (* wj (exp wj)))
0.0b	(* wj (exp wj))

rewrite74.0ms

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

32.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
26.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
8.0ms	(* wj (exp wj))
7.0ms	(+ (exp wj) (* wj (exp wj)))

series253.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

85.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
70.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
59.0ms	(+ (exp wj) (* wj (exp wj)))
39.0ms	(* wj (exp wj))

simplify6.1s

Counts

77 → 103

Calls

77 calls:

Slowest

561.0ms	(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
460.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
375.0ms	(- (pow (* wj (exp wj)) 3) (pow x 3))
348.0ms	(* (* (* wj wj) wj) (* (* (exp wj) (exp wj)) (exp wj)))
341.0ms	(+ (sqrt wj) (sqrt (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))))

prune894.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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)
5.0ms	(+ x (* (+ wj (* -2 x)) wj))

series131.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

80.0ms	(* (+ wj (* -2 x)) wj)
51.0ms	(+ x (* (+ wj (* -2 x)) wj))

simplify1.6s

Counts

18 → 39

Calls

18 calls:

Slowest

292.0ms	(* (exp x) (exp (* (+ wj (* -2 x)) wj)))
175.0ms	(* (+ (pow wj 3) (pow (* -2 x) 3)) wj)
159.0ms	(* (- (* wj wj) (* (* -2 x) (* -2 x))) wj)
154.0ms	(- (+ (pow wj 2) x) (* 2 (* x wj)))
139.0ms	(- (+ x (pow wj 2)) (* 2 (* x wj)))

prune338.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

9.6b	(cbrt (* (+ wj (* -2 x)) wj))
9.6b	(cbrt (* (+ wj (* -2 x)) wj))
9.6b	(cbrt (* (+ wj (* -2 x)) wj))
0.4b	(* (cbrt (* (+ wj (* -2 x)) wj)) (cbrt (* (+ wj (* -2 x)) wj)))

rewrite52.0ms

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

32.0ms	(* (cbrt (* (+ wj (* -2 x)) wj)) (cbrt (* (+ wj (* -2 x)) wj)))
9.0ms	(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

420.0ms	(cbrt (* (+ wj (* -2 x)) wj))
417.0ms	(cbrt (* (+ wj (* -2 x)) wj))
391.0ms	(cbrt (* (+ wj (* -2 x)) wj))
348.0ms	(* (cbrt (* (+ wj (* -2 x)) wj)) (cbrt (* (+ wj (* -2 x)) wj)))

simplify7.1s

Counts

63 → 88

Calls

63 calls:

Slowest

451.0ms	(* (cbrt (* (- (* wj wj) (* (* -2 x) (* -2 x))) wj)) (cbrt (* (+ wj (* -2 x)) wj)))
364.0ms	(* (cbrt (* (+ (pow wj 3) (pow (* -2 x) 3)) wj)) (cbrt (* (- (* wj wj) (* (* -2 x) (* -2 x))) wj)))
331.0ms	(exp (* 1/3 (+ (* 2 (log wj)) (+ (log 4) (* 2 (log x))))))
286.0ms	(* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 wj)))))))
283.0ms	(* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 wj)))))))

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

9.6b	(cbrt (* (+ wj (* -2 x)) wj))
9.6b	(cbrt (* (+ wj (* -2 x)) wj))
9.6b	(cbrt (* (+ wj (* -2 x)) wj))
4.8b	(exp (log (* (cbrt (* (+ wj (* -2 x)) wj)) (cbrt (* (+ wj (* -2 x)) wj)))))

rewrite70.0ms

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

46.0ms	(exp (log (* (cbrt (* (+ wj (* -2 x)) wj)) (cbrt (* (+ wj (* -2 x)) wj)))))
9.0ms	(cbrt (* (+ wj (* -2 x)) wj))
9.0ms	(cbrt (* (+ wj (* -2 x)) wj))
5.0ms	(cbrt (* (+ wj (* -2 x)) wj))

series1.9s

Counts

4 → 12

Calls

4 calls:

Slowest

805.0ms	(cbrt (* (+ wj (* -2 x)) wj))
387.0ms	(cbrt (* (+ wj (* -2 x)) wj))
369.0ms	(exp (log (* (cbrt (* (+ wj (* -2 x)) wj)) (cbrt (* (+ wj (* -2 x)) wj)))))
348.0ms	(cbrt (* (+ wj (* -2 x)) wj))

simplify5.1s

Counts

43 → 78

Calls

43 calls:

Slowest

406.0ms	(exp (log (* (cbrt (* (+ (pow wj 3) (pow (* -2 x) 3)) wj)) (cbrt (* (- (* wj wj) (* (* -2 x) (* -2 x))) wj)))))
370.0ms	(exp (* 1/3 (+ (* 2 (log wj)) (+ (log 4) (* 2 (log x))))))
346.0ms	(exp (log (* (cbrt (* (- (* wj wj) (* (* -2 x) (* -2 x))) wj)) (cbrt (* (+ (pow wj 3) (pow (* -2 x) 3)) wj)))))
278.0ms	(* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 wj)))))))
275.0ms	(* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 wj)))))))

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes165.0ms

Accuracy

61.5% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 2.1b

bsearch57.0ms

end0.0ms

sample8.0s

Algorithm

intervals

Results

6.5s	7475×	body	10240	exit
611.0ms	6336×	body	80	valid
247.0ms	471×	body	640	valid
244.0ms	756×	body	320	valid
91.0ms	510×	body	160	valid