Details

Time bar (total: 34.8s)

sample233.0ms

Algorithm
intervals
Results
179.0ms240×body10240exit
18.0ms189×body80valid
8.0ms28×body320valid
7.0ms16×body640valid
6.0ms26×body160valid

simplify229.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
229.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.3b

localize26.0ms

Local error

Found 4 expressions with local error:

6.7b
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
1.5b
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
0.0b
(+ (exp wj) (* wj (exp wj)))
0.0b
(* wj (exp wj))

rewrite143.0ms

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
63.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
42.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
19.0ms
(* wj (exp wj))
16.0ms
(+ (exp wj) (* wj (exp wj)))

series265.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
104.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
74.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
47.0ms
(* wj (exp wj))
40.0ms
(+ (exp wj) (* wj (exp wj)))

simplify6.7s

Counts
77 → 103
Calls
77 calls:
Slowest
583.0ms
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
475.0ms
(- (sqrt wj) (sqrt (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))))
464.0ms
(+ (sqrt wj) (sqrt (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))))
437.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
432.0ms
(- (pow (* wj (exp wj)) 3) (pow x 3))

prune892.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×associate-*r* associate-*l*
2×flip3-+ associate-*l/ flip-+ insert-posit16
1×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
Slowest
19.0ms
(* (+ wj (* -2 x)) wj)
12.0ms
(+ x (* (+ wj (* -2 x)) wj))

series103.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
63.0ms
(* (+ wj (* -2 x)) wj)
40.0ms
(+ x (* (+ wj (* -2 x)) wj))

simplify1.7s

Counts
18 → 39
Calls
18 calls:
Slowest
324.0ms
(* (exp x) (exp (* (+ wj (* -2 x)) wj)))
224.0ms
(* (+ (pow wj 3) (pow (* -2 x) 3)) wj)
158.0ms
(- (+ x (pow wj 2)) (* 2 (* x wj)))
158.0ms
(* (* (* (+ wj (* -2 x)) (+ wj (* -2 x))) (+ wj (* -2 x))) (* (* wj wj) wj))
145.0ms
(* (- (* wj wj) (* (* -2 x) (* -2 x))) wj)

prune364.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 4 expressions with local error:

10.0b
(cbrt (* (+ wj (* -2 x)) wj))
10.0b
(cbrt (* (+ wj (* -2 x)) wj))
10.0b
(cbrt (* (+ wj (* -2 x)) wj))
0.5b
(* (cbrt (* (+ wj (* -2 x)) wj)) (cbrt (* (+ wj (* -2 x)) wj)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 add-log-exp
2×pow-prod-down associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 76
Calls
4 calls:
Slowest
22.0ms
(* (cbrt (* (+ wj (* -2 x)) wj)) (cbrt (* (+ wj (* -2 x)) wj)))
6.0ms
(cbrt (* (+ wj (* -2 x)) wj))
5.0ms
(cbrt (* (+ wj (* -2 x)) wj))
5.0ms
(cbrt (* (+ wj (* -2 x)) wj))

series1.5s

Counts
4 → 12
Calls
4 calls:
Slowest
397.0ms
(cbrt (* (+ wj (* -2 x)) wj))
392.0ms
(cbrt (* (+ wj (* -2 x)) wj))
367.0ms
(cbrt (* (+ wj (* -2 x)) wj))
348.0ms
(* (cbrt (* (+ wj (* -2 x)) wj)) (cbrt (* (+ wj (* -2 x)) wj)))

simplify6.9s

Counts
63 → 88
Calls
63 calls:
Slowest
391.0ms
(* (cbrt (* (- (* wj wj) (* (* -2 x) (* -2 x))) wj)) (cbrt (* (+ (pow wj 3) (pow (* -2 x) 3)) wj)))
376.0ms
(exp (* 1/3 (+ (* 2 (log wj)) (+ (log 4) (* 2 (log x))))))
375.0ms
(* (cbrt (* (- (* wj wj) (* (* -2 x) (* -2 x))) wj)) (cbrt (* (+ wj (* -2 x)) wj)))
345.0ms
(* (cbrt (* (+ (pow wj 3) (pow (* -2 x) 3)) wj)) (cbrt (* (- (* wj wj) (* (* -2 x) (* -2 x))) wj)))
286.0ms
(* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 wj)))))))

prune1.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize59.0ms

Local error

Found 4 expressions with local error:

10.0b
(cbrt (* (+ wj (* -2 x)) wj))
10.0b
(cbrt (* (+ wj (* -2 x)) wj))
10.0b
(cbrt (* (+ wj (* -2 x)) wj))
10.0b
(cbrt (* (+ wj (* -2 x)) wj))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-div associate-*l/
4×cbrt-prod add-sqr-sqrt pow1 *-un-lft-identity flip3-+ add-cbrt-cube pow1/3 add-exp-log add-cube-cbrt flip-+ insert-posit16 add-log-exp
Counts
4 → 48
Calls
4 calls:
Slowest
7.0ms
(cbrt (* (+ wj (* -2 x)) wj))
5.0ms
(cbrt (* (+ wj (* -2 x)) wj))
5.0ms
(cbrt (* (+ wj (* -2 x)) wj))
5.0ms
(cbrt (* (+ wj (* -2 x)) wj))

series1.6s

Counts
4 → 12
Calls
4 calls:
Slowest
413.0ms
(cbrt (* (+ wj (* -2 x)) wj))
401.0ms
(cbrt (* (+ wj (* -2 x)) wj))
392.0ms
(cbrt (* (+ wj (* -2 x)) wj))
372.0ms
(cbrt (* (+ wj (* -2 x)) wj))

simplify3.7s

Counts
24 → 60
Calls
24 calls:
Slowest
551.0ms
(cbrt (* (- (* wj wj) (* (* -2 x) (* -2 x))) wj))
304.0ms
(* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 wj)))))))
280.0ms
(* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 wj)))))))
278.0ms
(* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 wj)))))))
272.0ms
(* (cbrt -1) (exp (* 1/3 (- (log -1) (* 2 (log (/ -1 wj)))))))

prune788.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.3b

regimes122.0ms

Accuracy

67.7% (0.6b remaining)

Error of 0.9b against oracle of 0.3b and baseline of 2.0b

bsearch38.0ms

end0.0ms

sample8.3s

Algorithm
intervals
Results
6.0s7709×body10240exit
1.4s6227×body80valid
253.0ms839×body320valid
222.0ms454×body640valid
103.0ms568×body160valid