Details

Time bar (total: 40.9s)

sample204.0ms

Algorithm
intervals
Results
157.0ms243×body10240exit
17.0ms199×body80valid
8.0ms30×body320valid
6.0ms13×body640valid
3.0ms18×body160valid

simplify232.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
232.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize19.0ms

Local error

Found 4 expressions with local error:

5.4b
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
0.5b
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
0.0b
(* wj (exp wj))
0.0b
(* wj (exp wj))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
24×*-un-lft-identity
18×add-cube-cbrt
16×times-frac
10×add-cbrt-cube
8×pow1 add-exp-log
6×associate-*r* associate-*l* add-log-exp
5×associate-/r*
4×distribute-rgt-out distribute-rgt1-in insert-posit16
3×associate-/l*
2×flip3-- div-sub pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-- difference-of-squares unswap-sqr associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-+ diff-log div-exp flip-+ div-inv distribute-lft-out-- associate--r-
Counts
4 → 96
Calls
4 calls:
Slowest
55.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
53.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
19.0ms
(* wj (exp wj))
17.0ms
(* wj (exp wj))

series233.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
81.0ms
(- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))))
54.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
51.0ms
(* wj (exp wj))
47.0ms
(* wj (exp wj))

simplify6.4s

Counts
83 → 108
Calls
83 calls:
Slowest
600.0ms
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))
429.0ms
(/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))
428.0ms
(+ (sqrt wj) (sqrt (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))))
391.0ms
(- (sqrt wj) (sqrt (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))))
373.0ms
(- (pow (* wj (exp wj)) 3) (pow x 3))

prune930.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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)
5.0ms
(+ x (* (+ wj (* -2 x)) wj))

series107.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
66.0ms
(* (+ wj (* -2 x)) wj)
41.0ms
(+ x (* (+ wj (* -2 x)) wj))

simplify1.6s

Counts
18 → 39
Calls
18 calls:
Slowest
376.0ms
(* (exp x) (exp (* (+ wj (* -2 x)) wj)))
176.0ms
(* (* (* (+ wj (* -2 x)) (+ wj (* -2 x))) (+ wj (* -2 x))) (* (* wj wj) wj))
172.0ms
(* (+ (pow wj 3) (pow (* -2 x) 3)) wj)
152.0ms
(- (+ x (pow wj 2)) (* 2 (* x wj)))
142.0ms
(* (- (* wj wj) (* (* -2 x) (* -2 x))) wj)

prune328.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize24.0ms

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))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 91
Calls
4 calls:
Slowest
21.0ms
(* (cbrt (+ wj (* -2 x))) (cbrt (+ wj (* -2 x))))
4.0ms
(cbrt (+ wj (* -2 x)))
2.0ms
(cbrt (+ wj (* -2 x)))
2.0ms
(cbrt (+ wj (* -2 x)))

series881.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
230.0ms
(* (cbrt (+ wj (* -2 x))) (cbrt (+ wj (* -2 x))))
228.0ms
(cbrt (+ wj (* -2 x)))
217.0ms
(cbrt (+ wj (* -2 x)))
206.0ms
(cbrt (+ wj (* -2 x)))

simplify9.0s

Counts
83 → 103
Calls
83 calls:
Slowest
690.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 wj)))))
678.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 wj)))))
671.0ms
(- (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)))))
612.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 wj)))))
489.0ms
(- (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)))))

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
62×cbrt-div
19×flip3-+ flip-+
12×frac-times
6×cbrt-prod associate-*l/ associate-*r/
5×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 → 68
Calls
4 calls:
Slowest
15.0ms
(cbrt (* (cbrt (+ wj (* -2 x))) (cbrt (+ wj (* -2 x)))))
13.0ms
(cbrt (* (cbrt (+ wj (* -2 x))) (cbrt (+ wj (* -2 x)))))
7.0ms
(cbrt (* (cbrt (+ wj (* -2 x))) (cbrt (+ wj (* -2 x)))))
4.0ms
(cbrt (+ wj (* -2 x)))

series738.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
219.0ms
(cbrt (+ wj (* -2 x)))
181.0ms
(cbrt (* (cbrt (+ wj (* -2 x))) (cbrt (+ wj (* -2 x)))))
171.0ms
(cbrt (* (cbrt (+ wj (* -2 x))) (cbrt (+ wj (* -2 x)))))
167.0ms
(cbrt (* (cbrt (+ wj (* -2 x))) (cbrt (+ wj (* -2 x)))))

simplify9.4s

Counts
44 → 80
Calls
44 calls:
Slowest
634.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 wj)))))
421.0ms
(- (exp (* 1/9 (+ (log 4) (* 2 (log x))))) (+ (* 1/9 (* (exp (* 1/9 (- (log 4) (* 7 (log x))))) wj)) (* 7/324 (* (exp (* 1/9 (- (log 4) (* 16 (log x))))) (pow wj 2)))))
421.0ms
(- (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)))))
406.0ms
(- (exp (* 1/9 (+ (log 4) (* 2 (log x))))) (+ (* 1/9 (* (exp (* 1/9 (- (log 4) (* 7 (log x))))) wj)) (* 7/324 (* (exp (* 1/9 (- (log 4) (* 16 (log x))))) (pow wj 2)))))
361.0ms
(- (exp (* 1/9 (+ (log 4) (* 2 (log x))))) (+ (* 1/9 (* (exp (* 1/9 (- (log 4) (* 7 (log x))))) wj)) (* 7/324 (* (exp (* 1/9 (- (log 4) (* 16 (log x))))) (pow wj 2)))))

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

regimes114.0ms

Accuracy

0% (1.9b remaining)

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

bsearch1.0ms

end0.0ms

sample8.1s

Algorithm
intervals
Results
6.6s7340×body10240exit
597.0ms6347×body80valid
251.0ms770×body320valid
198.0ms418×body640valid
100.0ms543×body160valid