Details

sample284.0ms

Algorithm

intervals

Results

218.0ms	261×	body	10240	exit
22.0ms	204×	body	80	valid
9.0ms	18×	body	640	valid
7.0ms	21×	body	320	valid
3.0ms	17×	body	160	valid

simplify1.2s

Counts: 1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize46.0ms

Local error

Found 4 expressions with local error:

5.2b	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
0.0b	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
0.0b	(+ (exp wj) (* wj (exp wj)))
0.0b	(* wj (exp wj))

rewrite149.0ms

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

59.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
57.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
17.0ms	(* wj (exp wj))
14.0ms	(+ (exp wj) (* wj (exp wj)))

series214.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

77.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
54.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
44.0ms	(* wj (exp wj))
38.0ms	(+ (exp wj) (* wj (exp wj)))

simplify2.0s

Counts: 103 → 103

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`distribute-rgt-in` `pow1` `associate-+r+` `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

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

series105.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

66.0ms	(* wj (- wj (* 2 x)))
39.0ms	(+ x (* wj (- wj (* 2 x))))

simplify1.1s

Counts: 47 → 47

prune493.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize44.0ms

Local error

Found 4 expressions with local error:

5.2b	(- wj (* (- (* wj (exp wj)) x) (/ 1 (+ (exp wj) (* wj (exp wj))))))
0.0b	(* (- (* wj (exp wj)) x) (/ 1 (+ (exp wj) (* wj (exp wj)))))
0.0b	(+ (exp wj) (* wj (exp wj)))
0.0b	(* wj (exp wj))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
24×	`associate-r`
21×	`*-un-lft-identity`
17×	`times-frac`
16×	`add-cube-cbrt`
14×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`pow1` `add-log-exp`
6×	`associate-l`
5×	`prod-exp`
4×	`distribute-rgt-out` `distribute-rgt1-in` `insert-posit16` `unswap-sqr`
3×	`flip3--` `cbrt-unprod` `flip--`
2×	`frac-times` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `flip-+`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `sum-log` `sub-neg` `diff-log` `1-exp` `associate-*r/` `un-div-inv` `div-inv`

Counts

4 → 95

Calls

4 calls:

Slowest

72.0ms	(* (- (* wj (exp wj)) x) (/ 1 (+ (exp wj) (* wj (exp wj)))))
9.0ms	(* wj (exp wj))
8.0ms	(- wj (* (- (* wj (exp wj)) x) (/ 1 (+ (exp wj) (* wj (exp wj))))))
7.0ms	(+ (exp wj) (* wj (exp wj)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

91.0ms	(- wj (* (- (* wj (exp wj)) x) (/ 1 (+ (exp wj) (* wj (exp wj))))))
59.0ms	(* (- (* wj (exp wj)) x) (/ 1 (+ (exp wj) (* wj (exp wj)))))
56.0ms	(* wj (exp wj))
53.0ms	(+ (exp wj) (* wj (exp wj)))

simplify582.0ms

Counts: 107 → 107

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 4 expressions with local error:

9.3b	(log (* wj (- wj (* 2 x))))
2.8b	(exp (log (* wj (- wj (* 2 x)))))
0.0b	(* wj (- wj (* 2 x)))
0.0b	(+ x (exp (log (* wj (- wj (* 2 x))))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

Slowest

23.0ms	(+ x (exp (log (* wj (- wj (* 2 x))))))
18.0ms	(exp (log (* wj (- wj (* 2 x)))))
12.0ms	(* wj (- wj (* 2 x)))
7.0ms	(log (* wj (- wj (* 2 x))))

series302.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

134.0ms	(log (* wj (- wj (* 2 x))))
69.0ms	(* wj (- wj (* 2 x)))
60.0ms	(exp (log (* wj (- wj (* 2 x)))))
40.0ms	(+ x (exp (log (* wj (- wj (* 2 x))))))

simplify1.1s

Counts: 82 → 82

prune920.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.3b

regimes193.0ms

Accuracy

0% (1.3b remaining)

Error of 2.2b against oracle of 0.9b and baseline of 2.2b

bsearch1.0ms

end0.0ms

sample8.8s

Algorithm

intervals

Results

7.0s	7389×	body	10240	exit
846.0ms	6328×	body	80	valid
266.0ms	748×	body	320	valid
219.0ms	470×	body	640	valid
108.0ms	533×	body	160	valid