Details

Time bar (total: 24.8s)

sample229.0ms

Algorithm
intervals
Results
179.0ms259×body10240exit
18.0ms200×body80valid
8.0ms31×body320valid
4.0ms20×body160valid
3.0ms9×body640valid

simplify4.2s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(* wj (exp wj))
0.0b
(* wj (exp wj))
0.3b
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
5.8b
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

rewrite165.0ms

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:
12.0ms
(* wj (exp wj))
18.0ms
(* wj (exp wj))
59.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
66.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series296.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* wj (exp wj))
53.0ms
(* wj (exp wj))
84.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
108.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

simplify1.4s

Counts
108 → 108
Iterations
IterNodes
33579
21010
1368
0153

prune759.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

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:
14.0ms
(- (* wj wj) (* x (+ wj wj)))
45.0ms
(+ (- (* wj wj) (* x (+ wj wj))) x)

series97.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(- (* wj wj) (* x (+ wj wj)))
35.0ms
(+ (- (* wj wj) (* x (+ wj wj))) x)

simplify731.0ms

Counts
38 → 38
Iterations
IterNodes
32660
2610
1182
064

prune214.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize48.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (- (* wj wj) (* x (+ wj wj))) x)) (cbrt (+ (- (* wj wj) (* x (+ wj wj))) x)))
0.6b
(cbrt (+ (- (* wj wj) (* x (+ wj wj))) x))
0.6b
(cbrt (+ (- (* wj wj) (* x (+ wj wj))) x))
0.6b
(cbrt (+ (- (* wj wj) (* x (+ wj wj))) x))

rewrite275.0ms

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:
189.0ms
(* (cbrt (+ (- (* wj wj) (* x (+ wj wj))) x)) (cbrt (+ (- (* wj wj) (* x (+ wj wj))) x)))
31.0ms
(cbrt (+ (- (* wj wj) (* x (+ wj wj))) x))
26.0ms
(cbrt (+ (- (* wj wj) (* x (+ wj wj))) x))
26.0ms
(cbrt (+ (- (* wj wj) (* x (+ wj wj))) x))

series812.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (cbrt (+ (- (* wj wj) (* x (+ wj wj))) x)) (cbrt (+ (- (* wj wj) (* x (+ wj wj))) x)))
204.0ms
(cbrt (+ (- (* wj wj) (* x (+ wj wj))) x))
204.0ms
(cbrt (+ (- (* wj wj) (* x (+ wj wj))) x))
199.0ms
(cbrt (+ (- (* wj wj) (* x (+ wj wj))) x))

simplify3.2s

Counts
111 → 111
Iterations
IterNodes
47474
31897
2615
1247
0108

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.3b

localize57.0ms

Local error

Found 4 expressions with local error:

0.3b
(- (exp wj) (* wj (exp wj)))
0.3b
(* (/ (- (* wj (exp wj)) x) (* (+ (exp wj) (* wj (exp wj))) (- (exp wj) (* wj (exp wj))))) (- (exp wj) (* wj (exp wj))))
0.3b
(/ (- (* wj (exp wj)) x) (* (+ (exp wj) (* wj (exp wj))) (- (exp wj) (* wj (exp wj)))))
5.8b
(- wj (* (/ (- (* wj (exp wj)) x) (* (+ (exp wj) (* wj (exp wj))) (- (exp wj) (* wj (exp wj))))) (- (exp wj) (* wj (exp wj)))))

rewrite254.0ms

Algorithm
rewrite-expression-head
Rules
18×add-cbrt-cube add-exp-log
16×associate-/r/
15×associate-*l*
11×add-sqr-sqrt *-un-lft-identity flip3-- flip--
10×frac-times
9×add-cube-cbrt
8×add-log-exp
6×pow1 sub-neg flip3-+ times-frac associate-*r/ flip-+
5×associate-*l/ prod-exp cbrt-unprod
4×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp associate-*r* insert-posit16 associate--r+
3×associate-/l*
2×distribute-rgt-out-- diff-log div-inv associate-/l/
1×clear-num associate-/r* frac-2neg div-sub pow-prod-down *-commutative unswap-sqr
Counts
4 → 109
Calls
4 calls:
16.0ms
(- (exp wj) (* wj (exp wj)))
163.0ms
(* (/ (- (* wj (exp wj)) x) (* (+ (exp wj) (* wj (exp wj))) (- (exp wj) (* wj (exp wj))))) (- (exp wj) (* wj (exp wj))))
62.0ms
(/ (- (* wj (exp wj)) x) (* (+ (exp wj) (* wj (exp wj))) (- (exp wj) (* wj (exp wj)))))
11.0ms
(- wj (* (/ (- (* wj (exp wj)) x) (* (+ (exp wj) (* wj (exp wj))) (- (exp wj) (* wj (exp wj))))) (- (exp wj) (* wj (exp wj)))))

series336.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(- (exp wj) (* wj (exp wj)))
54.0ms
(* (/ (- (* wj (exp wj)) x) (* (+ (exp wj) (* wj (exp wj))) (- (exp wj) (* wj (exp wj))))) (- (exp wj) (* wj (exp wj))))
125.0ms
(/ (- (* wj (exp wj)) x) (* (+ (exp wj) (* wj (exp wj))) (- (exp wj) (* wj (exp wj)))))
104.0ms
(- wj (* (/ (- (* wj (exp wj)) x) (* (+ (exp wj) (* wj (exp wj))) (- (exp wj) (* wj (exp wj))))) (- (exp wj) (* wj (exp wj)))))

simplify1.1s

Counts
121 → 121
Iterations
IterNodes
23321
1609
0200

prune946.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.3b

regimes138.0ms

Accuracy

17.9% (1.3b remaining)

Error of 1.8b against oracle of 0.5b and baseline of 2.1b

bsearch117.0ms

Steps
ItersRangePoint
10
6.114234060626768e-49
2.785265345013959e-36
6.814864601083122e-38

simplify8.0ms

Iterations
IterNodes
444
344
241
135
022

end0.0ms

sample8.2s

Algorithm
intervals
Results
6.5s7498×body10240exit
756.0ms6299×body80valid
291.0ms829×body320valid
235.0ms417×body640valid
135.0ms535×body160valid