Details

Time bar (total: 28.0s)

sample194.0ms

Algorithm
intervals
Results
149.0ms260×body10240exit
16.0ms200×body80valid
7.0ms26×body320valid
5.0ms13×body640valid
3.0ms17×body160valid

simplify207.0ms

Calls
1 calls:
Slowest
207.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize27.0ms

Local error

Found 4 expressions with local error:

3.8b
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
0.3b
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
0.0b
(+ (exp wj) (* wj (exp wj)))
0.0b
(* wj (exp wj))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
15×add-sqr-sqrt times-frac add-cube-cbrt
6×add-cbrt-cube add-exp-log add-log-exp
5×associate-/r* distribute-rgt-out distribute-rgt1-in
4×pow1 insert-posit16
3×associate-*r* associate-/l*
2×flip3-+ flip3-- div-sub associate-/r/ flip-+ flip-- associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg div-exp *-commutative div-inv associate--r-
Calls
4 calls:
Slowest
14.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
8.0ms
(+ (exp wj) (* wj (exp wj)))
1.0ms
(* wj (exp wj))
1.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series223.0ms

Calls
4 calls:
Slowest
69.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
57.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
49.0ms
(* wj (exp wj))
49.0ms
(+ (exp wj) (* wj (exp wj)))

simplify3.4s

Calls
64 calls:
Slowest
542.0ms
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
384.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
228.0ms
(/ (* (* (- (* wj (exp wj)) x) (- (* wj (exp wj)) x)) (- (* wj (exp wj)) x)) (* (* (+ (exp wj) (* wj (exp wj))) (+ (exp wj) (* wj (exp wj)))) (+ (exp wj) (* wj (exp wj)))))
174.0ms
(- (* (* wj (exp wj)) (* wj (exp wj))) (* x x))
162.0ms
(+ (* (exp wj) (exp wj)) (- (* (* wj (exp wj)) (* wj (exp wj))) (* (exp wj) (* wj (exp wj)))))

prune800.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt *-un-lft-identity associate-*l* add-cube-cbrt
2×pow1 flip3-+ add-cbrt-cube associate-*l/ add-exp-log flip-+ insert-posit16 add-log-exp
1×+-commutative *-commutative
Calls
2 calls:
Slowest
5.0ms
(* (+ wj (* -2 x)) wj)
1.0ms
(+ x (* (+ wj (* -2 x)) wj))

series122.0ms

Calls
2 calls:
Slowest
77.0ms
(* (+ wj (* -2 x)) wj)
45.0ms
(+ x (* (+ wj (* -2 x)) wj))

simplify1.2s

Calls
10 calls:
Slowest
357.0ms
(* (- (* wj wj) (* (* -2 x) (* -2 x))) wj)
219.0ms
(* (+ (pow wj 3) (pow (* -2 x) 3)) wj)
118.0ms
(- (+ x (pow wj 2)) (* 2 (* x wj)))
106.0ms
(- (+ x (pow wj 2)) (* 2 (* x wj)))
98.0ms
(- (+ (pow wj 2) x) (* 2 (* x wj)))

prune219.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
15×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×pow1 flip3-+ flip-+
7×pow1/3
6×associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp
2×pow-prod-down associate-*l/ associate-*r/ pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
6.0ms
(* (cbrt (+ wj (* -2 x))) (cbrt (+ wj (* -2 x))))
1.0ms
(cbrt (+ wj (* -2 x)))
1.0ms
(cbrt (+ wj (* -2 x)))
1.0ms
(cbrt (+ wj (* -2 x)))

series746.0ms

Calls
4 calls:
Slowest
200.0ms
(cbrt (+ wj (* -2 x)))
194.0ms
(cbrt (+ wj (* -2 x)))
189.0ms
(cbrt (+ wj (* -2 x)))
163.0ms
(* (cbrt (+ wj (* -2 x))) (cbrt (+ wj (* -2 x))))

simplify5.8s

Calls
59 calls:
Slowest
390.0ms
(* (cbrt (- (* wj wj) (* (* -2 x) (* -2 x)))) (cbrt (+ (pow wj 3) (pow (* -2 x) 3))))
311.0ms
(* (cbrt (+ (pow wj 3) (pow (* -2 x) 3))) (cbrt (- (* wj wj) (* (* -2 x) (* -2 x)))))
300.0ms
(cbrt (- (* wj wj) (* (* -2 x) (* -2 x))))
295.0ms
(- (exp (* 1/3 (+ (log -2) (log x)))) (+ (* 1/6 (* (exp (* 1/3 (- (log -2) (* 2 (log x))))) wj)) (* 1/36 (* (exp (* 1/3 (- (log -2) (* 5 (log x))))) (pow wj 2)))))
292.0ms
(* (cbrt (- (* wj wj) (* (* -2 x) (* -2 x)))) (cbrt (+ wj (* -2 x))))

prune1.1s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
10×cbrt-div
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 flip3-+ add-cbrt-cube pow1/3 add-exp-log flip-+ insert-posit16 add-log-exp
Calls
4 calls:
Slowest
1.0ms
(cbrt (cbrt (+ wj (* -2 x))))
1.0ms
(cbrt (+ wj (* -2 x)))
1.0ms
(cbrt (+ wj (* -2 x)))
1.0ms
(cbrt (+ wj (* -2 x)))

series860.0ms

Calls
4 calls:
Slowest
232.0ms
(cbrt (+ wj (* -2 x)))
232.0ms
(cbrt (+ wj (* -2 x)))
212.0ms
(cbrt (cbrt (+ wj (* -2 x))))
185.0ms
(cbrt (+ wj (* -2 x)))

simplify3.9s

Calls
35 calls:
Slowest
365.0ms
(- (exp (* 1/9 (+ (log -2) (log x)))) (+ (* 1/18 (* (exp (* 1/9 (- (log -2) (* 8 (log x))))) wj)) (* 1/81 (* (exp (* 1/9 (- (log -2) (* 17 (log x))))) (pow wj 2)))))
297.0ms
(exp (* 1/9 (- (log -1) (log (/ -1 wj)))))
295.0ms
(- (exp (* 1/3 (+ (log -2) (log x)))) (+ (* 1/6 (* (exp (* 1/3 (- (log -2) (* 2 (log x))))) wj)) (* 1/36 (* (exp (* 1/3 (- (log -2) (* 5 (log x))))) (pow wj 2)))))
279.0ms
(cbrt (- (* wj wj) (* (* -2 x) (* -2 x))))
278.0ms
(cbrt (cbrt (- (* wj wj) (* (* -2 x) (* -2 x)))))

prune901.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.3b

regimes208.0ms

Accuracy

0% (2.0b remaining)

Error of 2.3b against oracle of 0.3b and baseline of 2.3b

bsearch3.0ms

end0.0ms

sample8.1s

Algorithm
intervals
Results
6.6s7707×body10240exit
630.0ms6343×body80valid
294.0ms750×body320valid
213.0ms460×body640valid
163.0ms532×body160valid