Details

Time bar (total: 25.2s)

sample159.0ms

Algorithm
intervals
Results
122.0ms248×body10240exit
15.0ms212×body80valid
4.0ms23×body320valid
3.0ms9×body640valid
2.0ms15×body160valid

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done2022
62022
5815
4205
3108
252
121
08

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* wj (exp wj))
0.0b
(* wj (exp wj))
0.5b
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
3.5b
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite109.0ms

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:
17.0ms
(* wj (exp wj))
9.0ms
(* wj (exp wj))
30.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
49.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series213.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* wj (exp wj))
35.0ms
(* wj (exp wj))
53.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
84.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify1.1s

Counts
182 → 182
Iterations
IterNodes
done2001
22001
1829
0309

prune1.9s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt *-un-lft-identity fma-neg prod-diff add-cube-cbrt add-log-exp
1×expm1-log1p-u pow1 sub-neg flip3-- add-cbrt-cube diff-log associate--l+ add-exp-log fma-udef insert-posit16 log1p-expm1-u flip--
Counts
1 → 22
Calls
1 calls:
10.0ms
(- (fma wj wj x) (* (+ wj wj) x))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(- (fma wj wj x) (* (+ wj wj) x))

simplify1.1s

Counts
25 → 25
Iterations
IterNodes
done2005
32005
2430
1127
051

prune242.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (fma wj wj x) (* (+ wj wj) x))) (cbrt (- (fma wj wj x) (* (+ wj wj) x))))
0.8b
(cbrt (- (fma wj wj x) (* (+ wj wj) x)))
0.8b
(cbrt (- (fma wj wj x) (* (+ wj wj) x)))
0.8b
(cbrt (- (fma wj wj x) (* (+ wj wj) x)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-- pow1/3 flip--
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 99
Calls
4 calls:
34.0ms
(* (cbrt (- (fma wj wj x) (* (+ wj wj) x))) (cbrt (- (fma wj wj x) (* (+ wj wj) x))))
5.0ms
(cbrt (- (fma wj wj x) (* (+ wj wj) x)))
5.0ms
(cbrt (- (fma wj wj x) (* (+ wj wj) x)))
5.0ms
(cbrt (- (fma wj wj x) (* (+ wj wj) x)))

series893.0ms

Counts
4 → 12
Calls
4 calls:
236.0ms
(* (cbrt (- (fma wj wj x) (* (+ wj wj) x))) (cbrt (- (fma wj wj x) (* (+ wj wj) x))))
243.0ms
(cbrt (- (fma wj wj x) (* (+ wj wj) x)))
216.0ms
(cbrt (- (fma wj wj x) (* (+ wj wj) x)))
198.0ms
(cbrt (- (fma wj wj x) (* (+ wj wj) x)))

simplify1.0s

Counts
111 → 111
Iterations
IterNodes
done2005
32005
2705
1258
0111

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(* wj (exp wj))
0.2b
(/ 1 (/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x)))
0.5b
(/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x))
5.7b
(- wj (/ 1 (/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x))))

rewrite242.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
338×*-un-lft-identity
306×add-sqr-sqrt
290×add-cube-cbrt
204×prod-diff
43×distribute-rgt-out distribute-rgt1-in
32×associate-/r/
24×associate-/r*
19×div-inv
18×add-exp-log
15×flip3-- flip--
13×add-cbrt-cube
8×div-exp associate-/l*
7×pow1
6×add-log-exp
5×difference-of-squares
4×expm1-log1p-u cbrt-undiv insert-posit16 log1p-expm1-u
3×fma-neg associate-*r* associate-*l*
2×rec-exp clear-num frac-2neg 1-exp distribute-lft-out-- associate-/l/
1×sub-neg flip3-+ diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ pow-flip inv-pow unswap-sqr
Counts
4 → 403
Calls
4 calls:
19.0ms
(* wj (exp wj))
59.0ms
(/ 1 (/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x)))
70.0ms
(/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x))
76.0ms
(- wj (/ 1 (/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x))))

series340.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* wj (exp wj))
62.0ms
(/ 1 (/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x)))
121.0ms
(/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x))
105.0ms
(- wj (/ 1 (/ (+ (exp wj) (* wj (exp wj))) (- (* wj (exp wj)) x))))

simplify1.4s

Counts
415 → 415
Iterations
IterNodes
done2000
12000
0777

prune5.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

regimes149.0ms

Accuracy

33.8% (1.1b remaining)

Error of 1.6b against oracle of 0.5b and baseline of 2.2b

bsearch41.0ms

Steps
ItersRangePoint
7
1.531040506736195e-09
2.777781264454852e-08
5.490304900382047e-09

simplify3.0ms

Iterations
IterNodes
done25
125
019

end0.0ms

sample8.4s

Algorithm
intervals
Results
6.8s7646×body10240exit
695.0ms6271×body80valid
288.0ms800×body320valid
198.0ms487×body640valid
115.0ms523×body160valid