Details

sample256.0ms

Algorithm

intervals

Results

203.0ms	250×	body	10240	exit
22.0ms	217×	body	80	valid
7.0ms	20×	body	320	valid
5.0ms	11×	body	640	valid
2.0ms	11×	body	160	valid

simplify1.1s

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.9b

localize35.0ms

Local error

Found 4 expressions with local error:

3.2b	(- 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))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
76×	`add-sqr-sqrt`
67×	`add-cube-cbrt`
63×	`prod-diff`
61×	`times-frac`
13×	`distribute-rgt-out` `distribute-rgt1-in`
10×	`add-cbrt-cube`
8×	`pow1` `add-exp-log` `associate-/r/`
6×	`associate-r` `associate-l` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv`
3×	`fma-neg` `associate-/l*`
2×	`flip3--` `div-sub` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `difference-of-squares` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `distribute-lft-out--` `associate--r-`

Counts

4 → 170

Calls

4 calls:

Slowest

44.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
43.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
18.0ms	(* wj (exp wj))
14.0ms	(* wj (exp wj))

series212.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

71.0ms	(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
61.0ms	(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
43.0ms	(* wj (exp wj))
37.0ms	(* wj (exp wj))

simplify1.1s

Counts: 182 → 182

prune2.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`add-log-exp`
3×	`fma-neg` `associate-l` `prod-diff` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `associate-r` `associate--l+` `*-commutative` `fma-udef` `flip--`

Counts

2 → 43

Calls

2 calls:

Slowest

17.0ms	(* 2 (* x wj))
6.0ms	(- (fma wj wj x) (* 2 (* x wj)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

52.0ms	(- (fma wj wj x) (* 2 (* x wj)))
31.0ms	(* 2 (* x wj))

simplify956.0ms

Counts: 49 → 49

prune492.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize40.0ms

Local error

Found 4 expressions with local error:

3.2b	(- wj (/ (/ (- (* wj (exp wj)) x) (+ wj 1)) (exp wj)))
1.0b	(/ (/ (- (* wj (exp wj)) x) (+ wj 1)) (exp wj))
0.0b	(* wj (exp wj))
0.0b	(/ (- (* wj (exp wj)) x) (+ wj 1))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

387×	`times-frac`
342×	`*-un-lft-identity`
265×	`add-sqr-sqrt`
254×	`add-cube-cbrt`
174×	`prod-diff`
43×	`distribute-lft-out`
28×	`associate-/r/`
21×	`associate-/l*`
18×	`div-inv`
14×	`flip3-+` `flip-+`
13×	`add-cbrt-cube`
10×	`add-exp-log`
7×	`associate-/r*`
6×	`pow1` `add-log-exp`
5×	`div-sub`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg` `associate-r` `associate-l` `difference-of-squares` `associate-/l/`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `associate--r-` `unswap-sqr`

Counts

4 → 351

Calls

4 calls:

Slowest

59.0ms	(- wj (/ (/ (- (* wj (exp wj)) x) (+ wj 1)) (exp wj)))
39.0ms	(/ (- (* wj (exp wj)) x) (+ wj 1))
38.0ms	(/ (/ (- (* wj (exp wj)) x) (+ wj 1)) (exp wj))
9.0ms	(* wj (exp wj))

series246.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

83.0ms	(/ (/ (- (* wj (exp wj)) x) (+ wj 1)) (exp wj))
71.0ms	(- wj (/ (/ (- (* wj (exp wj)) x) (+ wj 1)) (exp wj)))
49.0ms	(/ (- (* wj (exp wj)) x) (+ wj 1))
43.0ms	(* wj (exp wj))

simplify1.4s

Counts: 363 → 363

prune4.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize39.0ms

Local error

Found 4 expressions with local error:

3.2b	(- wj (/ (- (* wj (exp wj)) x) (/ (exp wj) (/ 1 (+ wj 1)))))
1.0b	(/ (- (* wj (exp wj)) x) (/ (exp wj) (/ 1 (+ wj 1))))
0.0b	(* wj (exp wj))
0.0b	(/ (exp wj) (/ 1 (+ wj 1)))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

1989×	`times-frac`
1300×	`*-un-lft-identity`
1059×	`add-sqr-sqrt`
1039×	`add-cube-cbrt`
546×	`prod-diff`
129×	`distribute-lft-out`
104×	`associate-/r/`
77×	`associate-/r*`
61×	`div-inv`
43×	`flip3-+` `flip-+`
21×	`add-exp-log`
20×	`add-cbrt-cube`
17×	`div-exp`
9×	`cbrt-undiv`
6×	`pow1` `associate-/l*` `add-log-exp`
5×	`difference-of-squares`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg` `associate-r` `associate-l`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `div-sub` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `associate--r-` `unswap-sqr`

Counts

4 → 951

Calls

4 calls:

Slowest

60.0ms	(- wj (/ (- (* wj (exp wj)) x) (/ (exp wj) (/ 1 (+ wj 1)))))
60.0ms	(/ (- (* wj (exp wj)) x) (/ (exp wj) (/ 1 (+ wj 1))))
11.0ms	(/ (exp wj) (/ 1 (+ wj 1)))
9.0ms	(* wj (exp wj))

series268.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

102.0ms	(- wj (/ (- (* wj (exp wj)) x) (/ (exp wj) (/ 1 (+ wj 1)))))
66.0ms	(/ (- (* wj (exp wj)) x) (/ (exp wj) (/ 1 (+ wj 1))))
55.0ms	(/ (exp wj) (/ 1 (+ wj 1)))
45.0ms	(* wj (exp wj))

simplify4.6s

Counts: 963 → 963

prune14.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.5b

regimes164.0ms

Accuracy

0% (1.7b remaining)

Error of 2.1b against oracle of 0.4b and baseline of 2.1b

bsearch1.0ms

end0.0ms

sample7.4s

Algorithm

intervals

Results

5.3s	7571×	body	10240	exit
885.0ms	6271×	body	80	valid
560.0ms	481×	body	640	valid
219.0ms	779×	body	320	valid
90.0ms	543×	body	160	valid