Details

Time bar (total: 24.7s)

sample279.0ms

Algorithm
intervals
Results
215.0ms248×body10240exit
24.0ms212×body80valid
8.0ms23×body320valid
6.0ms9×body640valid
3.0ms15×body160valid

simplify3.4s

Counts
1 → 1
Iterations
IterNodes
63938
5680
4177
396
246
120
08

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize26.0ms

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
27×add-sqr-sqrt
24×*-un-lft-identity
18×add-cube-cbrt
16×times-frac
10×add-cbrt-cube
8×pow1 add-exp-log
6×associate-*r* associate-*l* add-log-exp
5×associate-/r*
4×distribute-rgt-out distribute-rgt1-in insert-posit16
3×associate-/l*
2×flip3-- div-sub pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-- difference-of-squares unswap-sqr associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-+ diff-log div-exp flip-+ div-inv distribute-lft-out-- associate--r-
Counts
4 → 96
Calls
4 calls:
18.0ms
(* wj (exp wj))
16.0ms
(* wj (exp wj))
33.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
39.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series258.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* wj (exp wj))
38.0ms
(* wj (exp wj))
69.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
100.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify1.2s

Counts
108 → 108
Iterations
IterNodes
33579
21010
1368
0153

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.4b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×*-un-lft-identity
2×add-sqr-sqrt pow1 associate-+l+ sum-log sub-neg add-cbrt-cube diff-log add-exp-log add-cube-cbrt insert-posit16 associate--r+
1×distribute-rgt-in +-commutative distribute-lft-in flip3-+ flip3-- associate-+l- flip-+ flip-- distribute-lft-out
Counts
2 → 32
Calls
2 calls:
51.0ms
(+ (- (* wj wj) (* x (+ wj wj))) x)
15.0ms
(- (* wj wj) (* x (+ wj wj)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (- (* wj wj) (* x (+ wj wj))) x)
58.0ms
(- (* wj wj) (* x (+ wj wj)))

simplify815.0ms

Counts
38 → 38
Iterations
IterNodes
32689
2612
1182
064

prune303.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube insert-posit16 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:
150.0ms
(* (cbrt (+ (- (* wj wj) (* x (+ wj wj))) x)) (cbrt (+ (- (* wj wj) (* x (+ wj wj))) x)))
17.0ms
(cbrt (+ (- (* wj wj) (* x (+ wj wj))) x))
17.0ms
(cbrt (+ (- (* wj wj) (* x (+ wj wj))) x))
14.0ms
(cbrt (+ (- (* wj wj) (* x (+ wj wj))) x))

series850.0ms

Counts
4 → 12
Calls
4 calls:
232.0ms
(* (cbrt (+ (- (* wj wj) (* x (+ wj wj))) x)) (cbrt (+ (- (* wj wj) (* x (+ wj wj))) x)))
220.0ms
(cbrt (+ (- (* wj wj) (* x (+ wj wj))) x))
182.0ms
(cbrt (+ (- (* wj wj) (* x (+ wj wj))) x))
216.0ms
(cbrt (+ (- (* wj wj) (* x (+ wj wj))) x))

simplify2.7s

Counts
111 → 111
Iterations
IterNodes
47474
31897
2615
1247
0108

prune1.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.3b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b
(* wj (exp wj))
0.0b
(* wj (exp wj))
0.5b
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
3.8b
(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity
13×add-cbrt-cube
10×add-exp-log add-cube-cbrt
8×pow1
6×associate-*r* associate-*l* add-log-exp
5×associate-/r* times-frac
4×insert-posit16
3×prod-exp cbrt-unprod
2×cbrt-undiv distribute-rgt-out div-exp pow-prod-down distribute-rgt1-in associate-/r/ *-commutative unswap-sqr
1×clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log flip-+ div-inv flip-- associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 81
Calls
4 calls:
11.0ms
(* wj (exp wj))
9.0ms
(* wj (exp wj))
26.0ms
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
33.0ms
(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))

series219.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* wj (exp wj))
35.0ms
(* wj (exp wj))
65.0ms
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
80.0ms
(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))

simplify2.0s

Counts
93 → 93
Iterations
IterNodes
34508
2966
1289
0119

prune988.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes112.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
216
116
011

end0.0ms

sample8.7s

Algorithm
intervals
Results
6.6s7646×body10240exit
694.0ms6271×body80valid
499.0ms523×body160valid
264.0ms487×body640valid
255.0ms800×body320valid