Details

sample249.0ms

Algorithm

intervals

Results

195.0ms	255×	body	10240	exit
19.0ms	202×	body	80	valid
8.0ms	16×	body	640	valid
6.0ms	20×	body	320	valid
4.0ms	21×	body	160	valid

simplify13.7s

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize25.0ms

Local error

Found 4 expressions with local error:

6.0b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
0.8b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
0.1b	(+ (exp wj) (* wj (exp wj)))
0.0b	(* wj (exp wj))

rewrite101.0ms

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

33.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
32.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
19.0ms	(* wj (exp wj))
15.0ms	(+ (exp wj) (* wj (exp wj)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

77.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
49.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
41.0ms	(+ (exp wj) (* wj (exp wj)))
33.0ms	(* wj (exp wj))

simplify2.0s

Counts: 103 → 103

prune1.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.6b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

Slowest

31.0ms	(* wj (- wj (* 2 x)))
19.0ms	(+ (* wj (- wj (* 2 x))) x)

series122.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

81.0ms	(* wj (- wj (* 2 x)))
41.0ms	(+ (* wj (- wj (* 2 x))) x)

simplify699.0ms

Counts: 47 → 47

prune420.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.6b

localize23.0ms

Local error

Found 4 expressions with local error:

11.6b	(cbrt (* wj (- wj (* 2 x))))
11.6b	(cbrt (* wj (- wj (* 2 x))))
11.6b	(cbrt (* wj (- wj (* 2 x))))
0.4b	(* (cbrt (* wj (- wj (* 2 x)))) (cbrt (* wj (- wj (* 2 x)))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
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-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

Slowest

36.0ms	(* (cbrt (* wj (- wj (* 2 x)))) (cbrt (* wj (- wj (* 2 x)))))
14.0ms	(cbrt (* wj (- wj (* 2 x))))
10.0ms	(cbrt (* wj (- wj (* 2 x))))
9.0ms	(cbrt (* wj (- wj (* 2 x))))

series1.5s

Counts

4 → 12

Calls

4 calls:

Slowest

384.0ms	(cbrt (* wj (- wj (* 2 x))))
379.0ms	(cbrt (* wj (- wj (* 2 x))))
361.0ms	(cbrt (* wj (- wj (* 2 x))))
351.0ms	(* (cbrt (* wj (- wj (* 2 x)))) (cbrt (* wj (- wj (* 2 x)))))

simplify2.0s

Counts: 88 → 88

prune934.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.6b

localize65.0ms

Local error

Found 4 expressions with local error:

11.6b	(cbrt (* wj (- wj (* 2 x))))
11.6b	(cbrt (* wj (- wj (* 2 x))))
11.6b	(cbrt (* wj (- wj (* 2 x))))
5.0b	(exp (log (* (cbrt (* wj (- wj (* 2 x)))) (cbrt (* wj (- wj (* 2 x)))))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
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-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `log-prod` `pow-plus` `exp-sum` `rem-exp-log`

Counts

4 → 66

Calls

4 calls:

Slowest

37.0ms	(exp (log (* (cbrt (* wj (- wj (* 2 x)))) (cbrt (* wj (- wj (* 2 x)))))))
5.0ms	(cbrt (* wj (- wj (* 2 x))))
5.0ms	(cbrt (* wj (- wj (* 2 x))))
5.0ms	(cbrt (* wj (- wj (* 2 x))))

series1.8s

Counts

4 → 12

Calls

4 calls:

Slowest

742.0ms	(cbrt (* wj (- wj (* 2 x))))
364.0ms	(cbrt (* wj (- wj (* 2 x))))
360.0ms	(cbrt (* wj (- wj (* 2 x))))
350.0ms	(exp (log (* (cbrt (* wj (- wj (* 2 x)))) (cbrt (* wj (- wj (* 2 x)))))))

simplify1.4s

Counts: 78 → 78

prune1.2s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.6b

regimes240.0ms

Accuracy

44.8% (1.0b remaining)

Error of 1.6b against oracle of 0.5b and baseline of 2.4b

bsearch6.0ms

end0.0ms

sample8.3s

Algorithm

intervals

Results

6.6s	7831×	body	10240	exit
718.0ms	6351×	body	80	valid
288.0ms	747×	body	320	valid
200.0ms	424×	body	640	valid
101.0ms	552×	body	160	valid