Details

Time bar (total: 21.6s)

sample237.0ms

Algorithm
intervals
Results
185.0ms248×body10240exit
20.0ms212×body80valid
6.0ms23×body320valid
4.0ms9×body640valid
3.0ms15×body160valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
62372
5596
4193
3102
250
121
08

prune5.0ms

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)))))

rewrite122.0ms

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:
18.0ms
(* wj (exp wj))
18.0ms
(* wj (exp wj))
31.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
50.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series249.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* wj (exp wj))
52.0ms
(* wj (exp wj))
76.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
87.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify1.3s

Counts
182 → 182
Iterations
IterNodes
22303
1814
0309

prune2.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:
6.0ms
(- (fma wj wj x) (* (+ wj wj) x))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(- (fma wj wj x) (* (+ wj wj) x))

simplify834.0ms

Counts
25 → 25
Iterations
IterNodes
32119
2418
1125
051

prune248.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize21.0ms

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)))

rewrite52.0ms

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:
40.0ms
(* (cbrt (- (fma wj wj x) (* (+ wj wj) x))) (cbrt (- (fma wj wj x) (* (+ wj wj) x))))
7.0ms
(cbrt (- (fma wj wj x) (* (+ wj wj) x)))
2.0ms
(cbrt (- (fma wj wj x) (* (+ wj wj) x)))
2.0ms
(cbrt (- (fma wj wj x) (* (+ wj wj) x)))

series863.0ms

Counts
4 → 12
Calls
4 calls:
261.0ms
(* (cbrt (- (fma wj wj x) (* (+ wj wj) x))) (cbrt (- (fma wj wj x) (* (+ wj wj) x))))
231.0ms
(cbrt (- (fma wj wj x) (* (+ wj wj) x)))
189.0ms
(cbrt (- (fma wj wj x) (* (+ wj wj) x)))
181.0ms
(cbrt (- (fma wj wj x) (* (+ wj wj) x)))

simplify875.0ms

Counts
111 → 111
Iterations
IterNodes
32182
2660
1252
0111

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize38.0ms

Local error

Found 4 expressions with local error:

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)))
4.9b
(exp (log (* (cbrt (- (fma wj wj x) (* (+ wj wj) x))) (cbrt (- (fma wj wj x) (* (+ wj wj) x))))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
12×pow1 exp-prod
9×cbrt-prod flip3-- pow1/3 log-pow flip--
8×add-sqr-sqrt log-div *-un-lft-identity exp-diff add-cube-cbrt
4×expm1-log1p-u frac-times add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 log-prod pow-plus exp-sum rem-exp-log
Counts
4 → 80
Calls
4 calls:
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)))
35.0ms
(exp (log (* (cbrt (- (fma wj wj x) (* (+ wj wj) x))) (cbrt (- (fma wj wj x) (* (+ wj wj) x))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
247.0ms
(cbrt (- (fma wj wj x) (* (+ wj wj) x)))
234.0ms
(cbrt (- (fma wj wj x) (* (+ wj wj) x)))
280.0ms
(cbrt (- (fma wj wj x) (* (+ wj wj) x)))
292.0ms
(exp (log (* (cbrt (- (fma wj wj x) (* (+ wj wj) x))) (cbrt (- (fma wj wj x) (* (+ wj wj) x))))))

simplify692.0ms

Counts
92 → 92
Iterations
IterNodes
32003
2622
1273
0137

prune978.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

regimes131.0ms

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
3.072499520511824e-09

simplify3.0ms

Iterations
IterNodes
222
122
017

end0.0ms

sample8.8s

Algorithm
intervals
Results
6.9s7646×body10240exit
720.0ms6271×body80valid
320.0ms487×body640valid
258.0ms800×body320valid
123.0ms523×body160valid