Details

sample158.0ms

Algorithm

intervals

Results

109.0ms	252×	body	10240	exit
12.0ms	193×	body	80	valid
5.0ms	28×	body	320	valid
4.0ms	14×	body	640	valid
3.0ms	23×	body	160	valid

simplify541.0ms

Counts

1 → 1

Iterations

Useful iterations: done (541.0ms)

Iter	Nodes	Cost
0	8	16
1	21	15
2	52	15
3	115	15
4	419	15
done	5000	14

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.9b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj))
0.0b	(/ x (exp wj))
6.4b	(- wj (/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj)))

rewrite407.0ms

Algorithm

rewrite-expression-head

Rules

421×	`add-sqr-sqrt`
355×	`*-un-lft-identity`
339×	`times-frac`
150×	`prod-diff`
127×	`add-cube-cbrt`
104×	`difference-of-squares`
45×	`distribute-lft-out`
35×	`distribute-lft-out--`
14×	`associate-/l*`
8×	`associate-/r/`
7×	`associate-/r*` `add-cbrt-cube`
6×	`add-exp-log`
5×	`div-inv` `add-log-exp`
4×	`flip3-+` `flip-+`
3×	`pow1` `expm1-log1p-u` `fma-neg` `log1p-expm1-u` `associate-/l/`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--`
1×	`sub-neg` `diff-log` `frac-sub` `associate--r-`

Counts

3 → 279

Calls

3 calls:

154.0ms	(/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj))
14.0ms	(/ x (exp wj))
212.0ms	(- wj (/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj)))

series175.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj))
41.0ms	(/ x (exp wj))
61.0ms	(- wj (/ (- (/ wj 1) (/ x (exp wj))) (+ 1 wj)))

simplify878.0ms

Counts

288 → 288

Iterations

Useful iterations: done (858.0ms)

Iter	Nodes	Cost
0	480	16383
1	1291	13214
done	5001	10576

prune695.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

22.0ms	(* 2 (* wj x))
7.0ms	(- (fma wj wj x) (* 2 (* wj x)))

series66.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* 2 (* wj x))
33.0ms	(- (fma wj wj x) (* 2 (* wj x)))

simplify876.0ms

Counts

47 → 47

Iterations

Useful iterations: done (874.0ms)

Iter	Nodes	Cost
0	76	542
1	188	504
2	897	426
done	5001	383

prune129.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ wj (+ 1 wj))
0.0b	(/ (/ x (exp wj)) (+ 1 wj))
0.0b	(/ x (exp wj))
7.7b	(- wj (/ wj (+ 1 wj)))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

169×	`*-un-lft-identity`
155×	`times-frac`
118×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
54×	`prod-diff`
27×	`distribute-lft-out`
19×	`associate-/l*`
13×	`add-cbrt-cube`
11×	`add-exp-log` `associate-/r*` `div-inv`
10×	`associate-/r/`
6×	`add-log-exp`
5×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `fma-neg` `clear-num`
2×	`difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

4 → 226

Calls

4 calls:

23.0ms	(/ wj (+ 1 wj))
48.0ms	(/ (/ x (exp wj)) (+ 1 wj))
13.0ms	(/ x (exp wj))
59.0ms	(- wj (/ wj (+ 1 wj)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(/ wj (+ 1 wj))
92.0ms	(/ (/ x (exp wj)) (+ 1 wj))
54.0ms	(/ x (exp wj))
48.0ms	(- wj (/ wj (+ 1 wj)))

simplify2.7s

Counts

238 → 238

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	370	5110
1	953	4548
2	4398	3672
done	5000	3670

prune771.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma wj wj (pow wj 4))
0.0b	(/ (/ x (exp wj)) (+ 1 wj))
0.0b	(- (fma wj wj (pow wj 4)) (pow wj 3))
0.0b	(/ x (exp wj))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

113×	`*-un-lft-identity`
106×	`times-frac`
90×	`add-sqr-sqrt`
83×	`add-cube-cbrt`
36×	`prod-diff`
16×	`associate-/l*`
14×	`distribute-lft-out`
11×	`add-cbrt-cube`
10×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log`
7×	`associate-/r*` `div-inv`
6×	`add-log-exp`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `difference-of-squares` `sqr-pow`
3×	`cube-mult` `fma-neg` `unpow3`
2×	`frac-2neg` `clear-num` `associate-/r/` `fma-udef`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `associate--l+` `flip--` `flip-+` `associate-/l/` `distribute-lft-out--`

Counts

4 → 186

Calls

4 calls:

1.0ms	(fma wj wj (pow wj 4))
42.0ms	(/ (/ x (exp wj)) (+ 1 wj))
26.0ms	(- (fma wj wj (pow wj 4)) (pow wj 3))
12.0ms	(/ x (exp wj))

series293.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(fma wj wj (pow wj 4))
59.0ms	(/ (/ x (exp wj)) (+ 1 wj))
32.0ms	(- (fma wj wj (pow wj 4)) (pow wj 3))
61.0ms	(/ x (exp wj))

simplify2.3s

Counts

198 → 198

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	305	3851
1	744	3186
2	3369	2872
done	5001	2871

prune837.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes47.0ms

Accuracy

80.9% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 1.2b

bsearch55.0ms

Steps

Iters	Range		Point
9	4.038992460207801e-12	7.508000478696826e-06	7.430298569289363e-06

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	40
1	30	40
done	30	40

end0.0ms

sample6.2s

Algorithm

intervals

Results

4.8s	7532×	body	10240	exit
457.0ms	6334×	body	80	valid
136.0ms	784×	body	320	valid
118.0ms	430×	body	640	valid
57.0ms	522×	body	160	valid