Details

Time bar (total: 33.0s)

sample194.0ms

Algorithm
intervals
Results
105.0ms259×body10240exit
13.0ms202×body80valid
5.0ms19×body320valid
4.0ms14×body640valid
3.0ms23×body160valid

simplify5.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08272
121272
252272
3108272
4205272
5815272
64330272
done5000272

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* wj (exp wj))
0.0b
(+ (exp wj) (* wj (exp wj)))
0.3b
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
5.3b
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
82×*-un-lft-identity
73×add-sqr-sqrt
66×add-cube-cbrt
63×prod-diff
61×times-frac
14×distribute-rgt-out distribute-rgt1-in
8×add-cbrt-cube associate-/r/ add-log-exp
7×add-exp-log
6×pow1
5×associate-/r* flip3-+ flip-+
4×expm1-log1p-u log1p-expm1-u div-inv
3×fma-def fma-neg associate-*r* associate-*l* associate-/l*
2×flip3-- div-sub 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 distribute-lft-out-- associate--r- unswap-sqr
Counts
4 → 164
Calls
4 calls:
9.0ms
(* wj (exp wj))
9.0ms
(+ (exp wj) (* wj (exp wj)))
45.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
79.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series221.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* wj (exp wj))
52.0ms
(+ (exp wj) (* wj (exp wj)))
55.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
77.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify4.4s

Counts
176 → 176
Iterations

Useful iterations: done (4.4s)

IterNodesCost
0317102111
184894454
2262286240
done500080546

prune1.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (* x wj) -2 (fma wj wj x))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(fma (* x wj) -2 (fma wj wj x))

simplify3.9s

Counts
13 → 13
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
0233239
1452654
21122579
34982579
426112099
done50012099

prune86.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (* x wj) -2 (fma wj wj x))) (cbrt (fma (* x wj) -2 (fma wj wj x))))
0.6b
(cbrt (fma (* x wj) -2 (fma wj wj x)))
0.6b
(cbrt (fma (* x wj) -2 (fma wj wj x)))
0.6b
(cbrt (fma (* x wj) -2 (fma wj wj x)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
21.0ms
(* (cbrt (fma (* x wj) -2 (fma wj wj x))) (cbrt (fma (* x wj) -2 (fma wj wj x))))
1.0ms
(cbrt (fma (* x wj) -2 (fma wj wj x)))
1.0ms
(cbrt (fma (* x wj) -2 (fma wj wj x)))
1.0ms
(cbrt (fma (* x wj) -2 (fma wj wj x)))

series1.7s

Counts
4 → 12
Calls
4 calls:
432.0ms
(* (cbrt (fma (* x wj) -2 (fma wj wj x))) (cbrt (fma (* x wj) -2 (fma wj wj x))))
379.0ms
(cbrt (fma (* x wj) -2 (fma wj wj x)))
435.0ms
(cbrt (fma (* x wj) -2 (fma wj wj x)))
407.0ms
(cbrt (fma (* x wj) -2 (fma wj wj x)))

simplify2.6s

Counts
93 → 93
Iterations

Useful iterations: done (2.6s)

IterNodesCost
011534513
126133065
262132581
3171531741
done500528093

prune694.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.5b

localize78.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (* x wj) -2 (fma wj wj x)))
0.6b
(cbrt (cbrt (fma (* x wj) -2 (fma wj wj x))))
0.6b
(cbrt (cbrt (fma (* x wj) -2 (fma wj wj x))))
0.6b
(cbrt (cbrt (fma (* x wj) -2 (fma wj wj x))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 61
Calls
4 calls:
1.0ms
(cbrt (fma (* x wj) -2 (fma wj wj x)))
2.0ms
(cbrt (cbrt (fma (* x wj) -2 (fma wj wj x))))
2.0ms
(cbrt (cbrt (fma (* x wj) -2 (fma wj wj x))))
2.0ms
(cbrt (cbrt (fma (* x wj) -2 (fma wj wj x))))

series1.7s

Counts
4 → 12
Calls
4 calls:
422.0ms
(cbrt (fma (* x wj) -2 (fma wj wj x)))
451.0ms
(cbrt (cbrt (fma (* x wj) -2 (fma wj wj x))))
438.0ms
(cbrt (cbrt (fma (* x wj) -2 (fma wj wj x))))
425.0ms
(cbrt (cbrt (fma (* x wj) -2 (fma wj wj x))))

simplify3.7s

Counts
73 → 73
Iterations

Useful iterations: 4 (2.2s)

IterNodesCost
08933174
118332170
238631919
3126131119
4483628079
done500028079

prune661.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.5b

regimes193.0ms

Accuracy

0% (1.7b remaining)

Error of 2.1b against oracle of 0.5b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06153
17153
done7153

end0.0ms

sample5.8s

Algorithm
intervals
Results
4.1s7626×body10240exit
812.0ms6294×body80valid
143.0ms448×body640valid
132.0ms771×body320valid
96.0ms561×body160valid