Details

Time bar (total: 36.0s)

sample221.0ms

Algorithm
intervals
Results
175.0ms256×body10240exit
17.0ms202×body80valid
8.0ms28×body320valid
6.0ms16×body640valid
2.0ms13×body160valid

simplify203.0ms

Calls
1 calls:
Slowest
202.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize23.0ms

Local error

Found 4 expressions with local error:

4.7b
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
1.2b
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
0.0b
(* wj (exp wj))
0.0b
(* wj (exp wj))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-sqr-sqrt add-cube-cbrt
15×times-frac
6×add-cbrt-cube associate-*r* add-exp-log
5×associate-/r*
4×pow1 distribute-rgt-out distribute-rgt1-in insert-posit16 add-log-exp
3×associate-/l*
2×flip3-- div-sub associate-/r/ *-commutative flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-+ div-exp flip-+ div-inv associate--r-
Calls
4 calls:
Slowest
10.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
1.0ms
(* wj (exp wj))
1.0ms
(* wj (exp wj))
1.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

series150.0ms

Calls
4 calls:
Slowest
64.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
42.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
27.0ms
(* wj (exp wj))
18.0ms
(* wj (exp wj))

simplify3.5s

Calls
63 calls:
Slowest
475.0ms
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
398.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
204.0ms
(- (* (* wj (exp wj)) (* wj (exp wj))) (* x x))
198.0ms
(+ (* (exp wj) (exp wj)) (- (* (* wj (exp wj)) (* wj (exp wj))) (* (exp wj) (* wj (exp wj)))))
185.0ms
(/ (* (* (- (* 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)))))

prune844.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite5.0ms

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
4.0ms
(* (+ wj (* -2 x)) wj)
1.0ms
(+ x (* (+ wj (* -2 x)) wj))

series46.0ms

Calls
2 calls:
Slowest
24.0ms
(+ x (* (+ wj (* -2 x)) wj))
22.0ms
(* (+ wj (* -2 x)) wj)

simplify1.5s

Calls
10 calls:
Slowest
604.0ms
(* (+ (pow wj 3) (pow (* -2 x) 3)) wj)
382.0ms
(* (- (* wj wj) (* (* -2 x) (* -2 x))) wj)
135.0ms
(- (+ x (pow wj 2)) (* 2 (* x wj)))
118.0ms
(- (+ (pow wj 2) x) (* 2 (* x wj)))
104.0ms
(- (+ x (pow wj 2)) (* 2 (* x wj)))

prune272.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 4 expressions with local error:

4.7b
(- wj (* (/ 1 (+ wj 1)) (- wj (/ x (exp wj)))))
0.0b
(/ 1 (+ wj 1))
0.0b
(* (/ 1 (+ wj 1)) (- wj (/ x (exp wj))))
0.0b
(/ x (exp wj))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×pow1
6×associate-/r* add-cbrt-cube associate-*l*
5×sub-neg
4×distribute-rgt-in distribute-lft-in associate-/r/ insert-posit16 associate--r+ add-log-exp
3×flip3-- associate-*r* div-inv flip--
2×frac-times rec-exp clear-num frac-2neg flip3-+ prod-exp associate-*r/ flip-+
1×pow-prod-down associate-*l/ *-commutative cbrt-unprod pow-flip inv-pow
Calls
4 calls:
Slowest
10.0ms
(* (/ 1 (+ wj 1)) (- wj (/ x (exp wj))))
3.0ms
(- wj (* (/ 1 (+ wj 1)) (- wj (/ x (exp wj)))))
2.0ms
(/ 1 (+ wj 1))
1.0ms
(/ x (exp wj))

series144.0ms

Calls
4 calls:
Slowest
51.0ms
(/ x (exp wj))
42.0ms
(- wj (* (/ 1 (+ wj 1)) (- wj (/ x (exp wj)))))
40.0ms
(* (/ 1 (+ wj 1)) (- wj (/ x (exp wj))))
10.0ms
(/ 1 (+ wj 1))

simplify5.5s

Calls
47 calls:
Slowest
830.0ms
(* (* (* (/ 1 (+ wj 1)) (/ 1 (+ wj 1))) (/ 1 (+ wj 1))) (* (* (- wj (/ x (exp wj))) (- wj (/ x (exp wj)))) (- wj (/ x (exp wj)))))
442.0ms
(* 1 (- (pow wj 3) (pow (/ x (exp wj)) 3)))
386.0ms
(* 1 (- (* wj wj) (* (/ x (exp wj)) (/ x (exp wj)))))
311.0ms
(* (/ 1 (+ wj 1)) (- (/ x (exp wj))))
296.0ms
(* (/ 1 (+ wj 1)) (- (/ x (exp wj))))

prune849.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

4.7b
(- wj (* (* (/ 1 (+ (pow wj 3) (pow 1 3))) (+ (- 1 wj) (* wj wj))) (- wj (/ x (exp wj)))))
0.0b
(* (* (/ 1 (+ (pow wj 3) (pow 1 3))) (+ (- 1 wj) (* wj wj))) (- wj (/ x (exp wj))))
0.0b
(/ x (exp wj))
0.0b
(/ 1 (+ (pow wj 3) (pow 1 3)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
16×frac-times
13×add-exp-log
10×pow1 *-un-lft-identity
9×associate-/r* add-cbrt-cube
8×associate-*l/ associate-*r/
7×add-sqr-sqrt flip3-+ flip3-- add-cube-cbrt flip-+ flip--
5×sub-neg prod-exp
4×distribute-rgt-in distribute-lft-in insert-posit16 associate--r+ add-log-exp
3×associate-*r* pow-prod-down cbrt-unprod
2×rec-exp clear-num frac-2neg associate-/r/ div-inv distribute-lft-out
1×cube-mult associate-*l* sum-cubes *-commutative pow-flip inv-pow
Calls
4 calls:
Slowest
30.0ms
(* (* (/ 1 (+ (pow wj 3) (pow 1 3))) (+ (- 1 wj) (* wj wj))) (- wj (/ x (exp wj))))
6.0ms
(/ 1 (+ (pow wj 3) (pow 1 3)))
1.0ms
(- wj (* (* (/ 1 (+ (pow wj 3) (pow 1 3))) (+ (- 1 wj) (* wj wj))) (- wj (/ x (exp wj)))))
1.0ms
(/ x (exp wj))

series220.0ms

Calls
4 calls:
Slowest
110.0ms
(- wj (* (* (/ 1 (+ (pow wj 3) (pow 1 3))) (+ (- 1 wj) (* wj wj))) (- wj (/ x (exp wj)))))
53.0ms
(* (* (/ 1 (+ (pow wj 3) (pow 1 3))) (+ (- 1 wj) (* wj wj))) (- wj (/ x (exp wj))))
36.0ms
(/ x (exp wj))
22.0ms
(/ 1 (+ (pow wj 3) (pow 1 3)))

simplify12.5s

Calls
70 calls:
Slowest
607.0ms
(* (* (* (* (/ 1 (+ (pow wj 3) (pow 1 3))) (/ 1 (+ (pow wj 3) (pow 1 3)))) (/ 1 (+ (pow wj 3) (pow 1 3)))) (* (* (+ (- 1 wj) (* wj wj)) (+ (- 1 wj) (* wj wj))) (+ (- 1 wj) (* wj wj)))) (* (* (- wj (/ x (exp wj))) (- wj (/ x (exp wj)))) (- wj (/ x (exp wj)))))
525.0ms
(* (* 1 (+ (- 1 wj) (* wj wj))) (- (* wj wj) (* (/ x (exp wj)) (/ x (exp wj)))))
495.0ms
(* (* 1 (+ (pow (- 1 wj) 3) (pow (* wj wj) 3))) (- (pow wj 3) (pow (/ x (exp wj)) 3)))
483.0ms
(* (* (* (* (/ 1 (+ (pow wj 3) (pow 1 3))) (+ (- 1 wj) (* wj wj))) (* (/ 1 (+ (pow wj 3) (pow 1 3))) (+ (- 1 wj) (* wj wj)))) (* (/ 1 (+ (pow wj 3) (pow 1 3))) (+ (- 1 wj) (* wj wj)))) (* (* (- wj (/ x (exp wj))) (- wj (/ x (exp wj)))) (- wj (/ x (exp wj)))))
455.0ms
(* (* 1 (+ (- 1 wj) (* wj wj))) (- (pow wj 3) (pow (/ x (exp wj)) 3)))

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

regimes149.0ms

Accuracy

67.5% (0.6b remaining)

Error of 0.9b against oracle of 0.3b and baseline of 2.2b

bsearch55.0ms

end0.0ms

sample8.3s

Algorithm
intervals
Results
6.7s7680×body10240exit
620.0ms6304×body80valid
281.0ms779×body320valid
256.0ms456×body640valid
139.0ms548×body160valid