Details

Time bar (total: 59.1s)

sample197.0ms

Algorithm
intervals
Results
149.0ms240×body10240exit
16.0ms197×body80valid
7.0ms30×body320valid
6.0ms15×body640valid
2.0ms16×body160valid

simplify218.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
217.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize18.0ms

Local error

Found 4 expressions with local error:

4.8b
(- 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))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt *-un-lft-identity
16×times-frac add-cube-cbrt
8×add-cbrt-cube add-log-exp
7×add-exp-log
6×pow1
5×associate-/r* distribute-rgt-out distribute-rgt1-in
4×insert-posit16
3×associate-*r* associate-*l* associate-/l*
2×flip3-+ flip3-- div-sub associate-/r/ flip-+ flip-- difference-of-squares associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv distribute-lft-out-- associate--r- unswap-sqr
Counts
4 → 91
Calls
4 calls:
Slowest
56.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
48.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
20.0ms
(* wj (exp wj))
15.0ms
(+ (exp wj) (* wj (exp wj)))

series217.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
81.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
62.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
39.0ms
(+ (exp wj) (* wj (exp wj)))
34.0ms
(* wj (exp wj))

simplify7.0s

Counts
77 → 103
Calls
77 calls:
Slowest
633.0ms
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
517.0ms
(- (sqrt wj) (sqrt (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))))
486.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
478.0ms
(* (* (* wj wj) wj) (* (* (exp wj) (exp wj)) (exp wj)))
457.0ms
(+ (sqrt wj) (sqrt (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))))

prune934.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
2×associate-*l/
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ insert-posit16 add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
Slowest
25.0ms
(* (+ wj (* -2 x)) wj)

series77.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
77.0ms
(* (+ wj (* -2 x)) wj)

simplify793.0ms

Counts
14 → 24
Calls
14 calls:
Slowest
188.0ms
(* (+ (pow wj 3) (pow (* -2 x) 3)) wj)
154.0ms
(* (- (* wj wj) (* (* -2 x) (* -2 x))) wj)
142.0ms
(* (* (* (+ wj (* -2 x)) (+ wj (* -2 x))) (+ wj (* -2 x))) (* (* wj wj) wj))
85.0ms
(- (pow wj 2) (* 2 (* x wj)))
80.0ms
(- (pow wj 2) (* 2 (* x wj)))

prune207.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 4 expressions with local error:

4.8b
(- 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))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
47×*-un-lft-identity
42×add-sqr-sqrt
36×times-frac
30×add-cube-cbrt
18×associate-*l* add-exp-log
13×add-cbrt-cube
7×pow1 associate-/r* distribute-lft-out
6×associate-*r* associate-/l* add-log-exp
5×sub-neg div-exp
4×distribute-rgt-in distribute-lft-in prod-exp associate-/r/ insert-posit16 associate--r+
3×cbrt-undiv flip3-- div-inv flip-- unswap-sqr
2×frac-times rec-exp clear-num frac-2neg flip3-+ 1-exp associate-*r/ cbrt-unprod flip-+ difference-of-squares
1×diff-log pow-prod-down associate-*l/ *-commutative pow-flip distribute-lft-out-- inv-pow
Counts
4 → 135
Calls
4 calls:
Slowest
59.0ms
(* (/ 1 (+ wj 1)) (- wj (/ x (exp wj))))
8.0ms
(/ 1 (+ wj 1))
5.0ms
(- wj (* (/ 1 (+ wj 1)) (- wj (/ x (exp wj)))))
5.0ms
(/ x (exp wj))

series221.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
88.0ms
(- wj (* (/ 1 (+ wj 1)) (- wj (/ x (exp wj)))))
67.0ms
(* (/ 1 (+ wj 1)) (- wj (/ x (exp wj))))
42.0ms
(/ x (exp wj))
23.0ms
(/ 1 (+ wj 1))

simplify9.8s

Counts
124 → 147
Calls
124 calls:
Slowest
1.0s
(* (* (* (/ 1 (+ wj 1)) (/ 1 (+ wj 1))) (/ 1 (+ wj 1))) (* (* (- wj (/ x (exp wj))) (- wj (/ x (exp wj)))) (- wj (/ x (exp wj)))))
828.0ms
(/ (* (* 1 1) 1) (* (* (+ wj 1) (+ wj 1)) (+ wj 1)))
508.0ms
(/ (* (* x x) x) (* (* (exp wj) (exp wj)) (exp wj)))
407.0ms
(* 1 (- (* wj wj) (* (/ x (exp wj)) (/ x (exp wj)))))
372.0ms
(/ (exp wj) (exp (* (/ 1 (+ wj 1)) (- wj (/ x (exp wj))))))

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize45.0ms

Local error

Found 4 expressions with local error:

4.8b
(- wj (* (/ 1 (+ (* wj (* wj wj)) 1)) (* (+ (* wj wj) (- (* 1 1) (* wj 1))) (- wj (/ x (exp wj))))))
0.1b
(* wj (* wj wj))
0.0b
(* (+ (* wj wj) (- (* 1 1) (* wj 1))) (- wj (/ x (exp wj))))
0.0b
(* (/ 1 (+ (* wj (* wj wj)) 1)) (* (+ (* wj wj) (- (* 1 1) (* wj 1))) (- wj (/ x (exp wj)))))

rewrite348.0ms

Algorithm
rewrite-expression-head
Rules
33×add-exp-log
25×pow1
23×add-cbrt-cube
22×add-sqr-sqrt
21×associate-*l*
20×frac-times
18×distribute-rgt-in distribute-lft-in
16×*-un-lft-identity prod-exp
14×associate-*r/ add-cube-cbrt
11×sub-neg
10×flip3-+ times-frac flip3-- cbrt-unprod flip-+ flip--
8×associate-*r* associate--r+
7×pow-prod-down associate-*l/
6×add-log-exp
5×pow-prod-up
4×div-exp insert-posit16
3×*-commutative
2×cbrt-undiv rec-exp 1-exp associate-/r/ difference-of-squares unswap-sqr
1×pow2 pow-plus diff-log cube-unmult pow-sqr div-inv distribute-lft-out--
Counts
4 → 144
Calls
4 calls:
Slowest
207.0ms
(* (/ 1 (+ (* wj (* wj wj)) 1)) (* (+ (* wj wj) (- (* 1 1) (* wj 1))) (- wj (/ x (exp wj)))))
110.0ms
(* (+ (* wj wj) (- (* 1 1) (* wj 1))) (- wj (/ x (exp wj))))
14.0ms
(- wj (* (/ 1 (+ (* wj (* wj wj)) 1)) (* (+ (* wj wj) (- (* 1 1) (* wj 1))) (- wj (/ x (exp wj))))))
13.0ms
(* wj (* wj wj))

series448.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
243.0ms
(- wj (* (/ 1 (+ (* wj (* wj wj)) 1)) (* (+ (* wj wj) (- (* 1 1) (* wj 1))) (- wj (/ x (exp wj))))))
95.0ms
(* (/ 1 (+ (* wj (* wj wj)) 1)) (* (+ (* wj wj) (- (* 1 1) (* wj 1))) (- wj (/ x (exp wj)))))
56.0ms
(* (+ (* wj wj) (- (* 1 1) (* wj 1))) (- wj (/ x (exp wj))))
53.0ms
(* wj (* wj wj))

simplify26.7s

Counts
125 → 156
Calls
125 calls:
Slowest
976.0ms
(* (/ (* (* 1 1) 1) (* (* (+ (* wj (* wj wj)) 1) (+ (* wj (* wj wj)) 1)) (+ (* wj (* wj wj)) 1))) (* (* (* (+ (* wj wj) (- (* 1 1) (* wj 1))) (+ (* wj wj) (- (* 1 1) (* wj 1)))) (+ (* wj wj) (- (* 1 1) (* wj 1)))) (* (* (- wj (/ x (exp wj))) (- wj (/ x (exp wj)))) (- wj (/ x (exp wj))))))
974.0ms
(* (/ (* (* 1 1) 1) (* (* (+ (* wj (* wj wj)) 1) (+ (* wj (* wj wj)) 1)) (+ (* wj (* wj wj)) 1))) (* (* (* (+ (* wj wj) (- (* 1 1) (* wj 1))) (- wj (/ x (exp wj)))) (* (+ (* wj wj) (- (* 1 1) (* wj 1))) (- wj (/ x (exp wj))))) (* (+ (* wj wj) (- (* 1 1) (* wj 1))) (- wj (/ x (exp wj))))))
837.0ms
(* (* (* (/ 1 (+ (* wj (* wj wj)) 1)) (/ 1 (+ (* wj (* wj wj)) 1))) (/ 1 (+ (* wj (* wj wj)) 1))) (* (* (* (+ (* wj wj) (- (* 1 1) (* wj 1))) (- wj (/ x (exp wj)))) (* (+ (* wj wj) (- (* 1 1) (* wj 1))) (- wj (/ x (exp wj))))) (* (+ (* wj wj) (- (* 1 1) (* wj 1))) (- wj (/ x (exp wj))))))
816.0ms
(* (- (* (* wj wj) (* wj wj)) (* (- (* 1 1) (* wj 1)) (- (* 1 1) (* wj 1)))) (- (* wj wj) (* (/ x (exp wj)) (/ x (exp wj)))))
801.0ms
(* (* (* (/ 1 (+ (* wj (* wj wj)) 1)) (/ 1 (+ (* wj (* wj wj)) 1))) (/ 1 (+ (* wj (* wj wj)) 1))) (* (* (* (+ (* wj wj) (- (* 1 1) (* wj 1))) (+ (* wj wj) (- (* 1 1) (* wj 1)))) (+ (* wj wj) (- (* 1 1) (* wj 1)))) (* (* (- wj (/ x (exp wj))) (- wj (/ x (exp wj)))) (- wj (/ x (exp wj))))))

prune1.8s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

regimes102.0ms

Accuracy

0% (1.8b remaining)

Error of 2.1b against oracle of 0.3b and baseline of 2.1b

bsearch1.0ms

end0.0ms

sample8.3s

Algorithm
intervals
Results
6.3s7772×body10240exit
1.0s6301×body80valid
268.0ms469×body640valid
233.0ms751×body320valid
121.0ms556×body160valid