Details

Time bar (total: 24.6s)

sample278.0ms

Algorithm
intervals
Results
212.0ms233×body10240exit
23.0ms204×body80valid
11.0ms30×body320valid
7.0ms13×body640valid
3.0ms15×body160valid

simplify207.0ms

Counts
1 → 1
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: 13.7b

localize16.0ms

Local error

Found 4 expressions with local error:

4.6b
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
0.5b
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
0.0b
(+ (exp wj) (* wj (exp wj)))
0.0b
(* wj (exp wj))

rewrite147.0ms

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
58.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
55.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
17.0ms
(* wj (exp wj))
15.0ms
(+ (exp wj) (* wj (exp wj)))

series209.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
77.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
49.0ms
(+ (exp wj) (* wj (exp wj)))
45.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
38.0ms
(* wj (exp wj))

simplify6.5s

Counts
77 → 103
Calls
77 calls:
Slowest
662.0ms
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
479.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
439.0ms
(+ (sqrt wj) (sqrt (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))))
425.0ms
(- (pow (* wj (exp wj)) 3) (pow x 3))
387.0ms
(- (sqrt wj) (sqrt (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))))

prune910.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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
12.0ms
(* (+ wj (* -2 x)) wj)
10.0ms
(+ x (* (+ wj (* -2 x)) wj))

series122.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
66.0ms
(* (+ wj (* -2 x)) wj)
56.0ms
(+ x (* (+ wj (* -2 x)) wj))

simplify1.6s

Counts
18 → 39
Calls
18 calls:
Slowest
325.0ms
(* (exp x) (exp (* (+ wj (* -2 x)) wj)))
181.0ms
(* (+ (pow wj 3) (pow (* -2 x) 3)) wj)
145.0ms
(- (+ x (pow wj 2)) (* 2 (* x wj)))
140.0ms
(* (* (* (+ wj (* -2 x)) (+ wj (* -2 x))) (+ wj (* -2 x))) (* (* wj wj) wj))
139.0ms
(* (- (* wj wj) (* (* -2 x) (* -2 x))) wj)

prune347.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.4b

localize28.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt wj)
0.7b
(cbrt wj)
0.7b
(cbrt wj)
0.5b
(* (cbrt wj) (cbrt wj))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 77
Calls
4 calls:
Slowest
7.0ms
(* (cbrt wj) (cbrt wj))
1.0ms
(cbrt wj)
1.0ms
(cbrt wj)
1.0ms
(cbrt wj)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
312.0ms
(cbrt wj)
292.0ms
(* (cbrt wj) (cbrt wj))
256.0ms
(cbrt wj)
220.0ms
(cbrt wj)

simplify837.0ms

Counts
63 → 89
Calls
63 calls:
Slowest
137.0ms
(* (pow (* wj -1) 1/3) (cbrt -1))
117.0ms
(* (pow (cbrt -1) 2) (pow (pow wj 2) 1/3))
115.0ms
(* (pow (* wj -1) 1/3) (cbrt -1))
91.0ms
(* (pow (* wj -1) 1/3) (cbrt -1))
83.0ms
(* (* (cbrt (cbrt wj)) (cbrt (cbrt wj))) (* (cbrt (cbrt wj)) (cbrt (cbrt wj))))

prune937.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt wj)
0.7b
(cbrt wj)
0.7b
(cbrt wj)
0.7b
(cbrt wj)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
Counts
4 → 48
Calls
4 calls:
Slowest
1.0ms
(cbrt wj)
1.0ms
(cbrt wj)
1.0ms
(cbrt wj)
1.0ms
(cbrt wj)

series1.4s

Counts
4 → 12
Calls
4 calls:
Slowest
638.0ms
(cbrt wj)
281.0ms
(cbrt wj)
262.0ms
(cbrt wj)
239.0ms
(cbrt wj)

simplify659.0ms

Counts
24 → 60
Calls
24 calls:
Slowest
146.0ms
(* (pow (* wj -1) 1/3) (cbrt -1))
117.0ms
(* (pow (* wj -1) 1/3) (cbrt -1))
115.0ms
(* (pow (* wj -1) 1/3) (cbrt -1))
111.0ms
(* (pow (* wj -1) 1/3) (cbrt -1))
33.0ms
(pow (/ 1 wj) -1/3)

prune672.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

regimes119.0ms

Accuracy

96.7% (0.1b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 2.1b

bsearch103.0ms

end0.0ms

sample8.4s

Algorithm
intervals
Results
6.4s7624×body10240exit
1.1s6305×body80valid
248.0ms781×body320valid
187.0ms452×body640valid
96.0ms547×body160valid