Details

sample166.0ms

Algorithm

intervals

Results

119.0ms	271×	body	10240	exit
12.0ms	213×	body	80	valid
4.0ms	23×	body	320	valid
2.0ms	8×	body	640	valid
2.0ms	14×	body	160	valid

simplify33.0ms

Counts: 1 → 1

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 10.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ wj 1))
0.0b	(* (- (/ x (exp wj)) wj) (/ 1 (+ wj 1)))
0.0b	(/ x (exp wj))
4.5b	(+ (* (- (/ x (exp wj)) wj) (/ 1 (+ wj 1))) wj)

rewrite279.0ms

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity`
42×	`add-sqr-sqrt`
36×	`times-frac`
30×	`add-cube-cbrt`
18×	`add-exp-log` `associate-r`
13×	`add-cbrt-cube`
7×	`pow1` `associate-/r*` `distribute-lft-out`
6×	`associate-l` `associate-/l*` `add-log-exp`
5×	`div-exp`
4×	`prod-exp` `associate-/r/`
3×	`cbrt-undiv` `flip3-+` `flip-+` `div-inv` `unswap-sqr`
2×	`frac-times` `rec-exp` `flip3--` `frac-2neg` `1-exp` `associate-*l/` `clear-num` `flip--` `cbrt-unprod` `difference-of-squares`
1×	`+-commutative` `pow-flip` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `distribute-lft-out--` `inv-pow`

Counts

4 → 123

Calls

4 calls:

21.0ms	(/ 1 (+ wj 1))
151.0ms	(* (- (/ x (exp wj)) wj) (/ 1 (+ wj 1)))
12.0ms	(/ x (exp wj))
88.0ms	(+ (* (- (/ x (exp wj)) wj) (/ 1 (+ wj 1))) wj)

series249.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ 1 (+ wj 1))
59.0ms	(* (- (/ x (exp wj)) wj) (/ 1 (+ wj 1)))
52.0ms	(/ x (exp wj))
121.0ms	(+ (* (- (/ x (exp wj)) wj) (/ 1 (+ wj 1))) wj)

simplify57.0ms

Counts: 135 → 135

prune515.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`*-un-lft-identity`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

2 → 30

Calls

2 calls:

12.0ms	(+ x (pow wj 2))
23.0ms	(* 2 (* wj x))

series72.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ x (pow wj 2))
32.0ms	(* 2 (* wj x))

simplify46.0ms

Counts: 36 → 36

prune96.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (exp wj))
0.0b	(/ (- (/ x (exp wj)) wj) (- (* wj wj) 1))
0.0b	(* (/ (- (/ x (exp wj)) wj) (- (* wj wj) 1)) (- wj 1))
4.5b	(+ (* (/ (- (/ x (exp wj)) wj) (- (* wj wj) 1)) (- wj 1)) wj)

rewrite434.0ms

Algorithm

rewrite-expression-head

Rules

127×	`add-sqr-sqrt`
95×	`times-frac`
82×	`*-un-lft-identity`
54×	`difference-of-squares`
42×	`associate-l`
40×	`add-cube-cbrt`
14×	`difference-of-sqr-1` `distribute-lft-out--`
13×	`add-cbrt-cube`
12×	`add-exp-log`
9×	`associate-/r` `associate-/l`
7×	`associate-r`
6×	`pow1` `add-log-exp`
5×	`flip3--` `flip--`
4×	`distribute-rgt-in` `sub-neg` `associate-+l+` `distribute-lft-in` `associate-/r/`
3×	`cbrt-undiv` `div-exp` `div-inv`
2×	`frac-times` `frac-2neg` `associate-*r/` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+`

Counts

4 → 180

Calls

4 calls:

13.0ms	(/ x (exp wj))
103.0ms	(/ (- (/ x (exp wj)) wj) (- (* wj wj) 1))
234.0ms	(* (/ (- (/ x (exp wj)) wj) (- (* wj wj) 1)) (- wj 1))
67.0ms	(+ (* (/ (- (/ x (exp wj)) wj) (- (* wj wj) 1)) (- wj 1)) wj)

series530.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ x (exp wj))
111.0ms	(/ (- (/ x (exp wj)) wj) (- (* wj wj) 1))
127.0ms	(* (/ (- (/ x (exp wj)) wj) (- (* wj wj) 1)) (- wj 1))
248.0ms	(+ (* (/ (- (/ x (exp wj)) wj) (- (* wj wj) 1)) (- wj 1)) wj)

simplify84.0ms

Counts: 192 → 192

prune729.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (exp wj))
0.0b	(cbrt (exp wj))
0.0b	(* (cbrt (exp wj)) (cbrt (exp wj)))
4.5b	(+ (* (- (/ (/ x (* (cbrt (exp wj)) (cbrt (exp wj)))) (cbrt (exp wj))) wj) (/ 1 (+ wj 1))) wj)

rewrite280.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod` `add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
8×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l` `add-log-exp`
4×	`add-cbrt-cube` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`+-commutative` `pow2` `flip3-+` `pow-plus` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

4 → 73

Calls

4 calls:

4.0ms	(cbrt (exp wj))
2.0ms	(cbrt (exp wj))
28.0ms	(* (cbrt (exp wj)) (cbrt (exp wj)))
243.0ms	(+ (* (- (/ (/ x (* (cbrt (exp wj)) (cbrt (exp wj)))) (cbrt (exp wj))) wj) (/ 1 (+ wj 1))) wj)

series455.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt (exp wj))
110.0ms	(cbrt (exp wj))
130.0ms	(* (cbrt (exp wj)) (cbrt (exp wj)))
96.0ms	(+ (* (- (/ (/ x (* (cbrt (exp wj)) (cbrt (exp wj)))) (cbrt (exp wj))) wj) (/ 1 (+ wj 1))) wj)

simplify57.0ms

Counts: 85 → 85

prune341.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.2b

regimes129.0ms

Accuracy

33.3% (1.2b remaining)

Error of 1.6b against oracle of 0.4b and baseline of 2.2b

bsearch45.0ms

Steps

Iters	Range		Point
8	-6.966399513907256e-05	-2.8230244090247016e-09	-6.071002818416556e-09

simplify71.0ms

end0.0ms

sample6.5s

Algorithm

intervals

Results

4.9s	7537×	body	10240	exit
554.0ms	6261×	body	80	valid
224.0ms	762×	body	320	valid
159.0ms	459×	body	640	valid
109.0ms	592×	body	160	valid