Details

Time bar (total: 21.5s)

sample233.0ms

Algorithm
intervals
Results
183.0ms232×body10240exit
19.0ms211×body80valid
6.0ms15×body640valid
5.0ms20×body320valid
2.0ms13×body160valid

simplify675.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
4419
3115
252
121
08

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(* wj (exp wj))
0.0b
(+ (exp wj) (* wj (exp wj)))
0.5b
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
4.2b
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite113.0ms

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 insert-posit16 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 → 168
Calls
4 calls:
9.0ms
(* wj (exp wj))
8.0ms
(+ (exp wj) (* wj (exp wj)))
43.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
49.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series269.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* wj (exp wj))
64.0ms
(+ (exp wj) (* wj (exp wj)))
68.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
86.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify2.1s

Counts
180 → 180
Iterations
IterNodes
done5000
23727
1856
0321

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize19.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 11
Calls
1 calls:
1.0ms
(fma (* x wj) -2 (fma wj wj x))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(fma (* x wj) -2 (fma wj wj x))

simplify975.0ms

Counts
14 → 14
Iterations
IterNodes
done5001
3772
2132
146
024

prune97.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize35.0ms

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)))

rewrite15.0ms

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 insert-posit16 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 → 85
Calls
4 calls:
10.0ms
(* (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)))

series1.6s

Counts
4 → 12
Calls
4 calls:
454.0ms
(* (cbrt (fma (* x wj) -2 (fma wj wj x))) (cbrt (fma (* x wj) -2 (fma wj wj x))))
387.0ms
(cbrt (fma (* x wj) -2 (fma wj wj x)))
368.0ms
(cbrt (fma (* x wj) -2 (fma wj wj x)))
374.0ms
(cbrt (fma (* x wj) -2 (fma wj wj x)))

simplify2.0s

Counts
97 → 97
Iterations
IterNodes
done5000
2854
1265
0117

prune532.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize31.0ms

Local error

Found 4 expressions with local error:

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)))
4.7b
(exp (log (* (cbrt (fma (* x wj) -2 (fma wj wj x))) (cbrt (fma (* x wj) -2 (fma wj wj x))))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1 exp-prod
9×cbrt-prod pow1/3 log-pow
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 log-prod pow-plus exp-sum rem-exp-log
Counts
4 → 66
Calls
4 calls:
2.0ms
(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)))
21.0ms
(exp (log (* (cbrt (fma (* x wj) -2 (fma wj wj x))) (cbrt (fma (* x wj) -2 (fma wj wj x))))))

series2.1s

Counts
4 → 12
Calls
4 calls:
451.0ms
(cbrt (fma (* x wj) -2 (fma wj wj x)))
428.0ms
(cbrt (fma (* x wj) -2 (fma wj wj x)))
380.0ms
(cbrt (fma (* x wj) -2 (fma wj wj x)))
811.0ms
(exp (log (* (cbrt (fma (* x wj) -2 (fma wj wj x))) (cbrt (fma (* x wj) -2 (fma wj wj x))))))

simplify1.3s

Counts
78 → 78
Iterations
IterNodes
done5001
31983
2595
1239
0115

prune375.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

regimes101.0ms

Accuracy

0% (1.5b remaining)

Error of 2.0b against oracle of 0.5b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done7
17
06

end0.0ms

sample7.8s

Algorithm
intervals
Results
5.7s7611×body10240exit
701.0ms6355×body80valid
657.0ms743×body320valid
167.0ms446×body640valid
122.0ms544×body160valid