Details

Time bar (total: 26.3s)

sample201.0ms

Algorithm
intervals
Results
89.0ms758×body80nan
13.0ms167×body80valid
13.0ms16×body1280valid
12.0ms28×body640valid
8.0ms27×body320valid
4.0ms19×body160valid

simplify419.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
01213
12212
23812
35212
46012
57712
610512
715412
819812
922112
1023912
1124012
done24012

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (log y)) (* z (log (- 1.0 y))))
0.0b
(* z (log (- 1.0 y)))
0.2b
(* x (log y))
6.3b
(log (- 1.0 y))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
37×log-prod
31×add-sqr-sqrt
27×*-un-lft-identity
17×add-cube-cbrt
16×distribute-rgt-in distribute-lft-in
11×pow1
10×associate-+r+
9×add-exp-log
8×associate-*r* add-cbrt-cube
6×associate-+l+ associate-*l* add-log-exp
5×distribute-lft-out-- difference-of-squares
4×expm1-log1p-u log1p-expm1-u
3×log-pow
2×log-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-- fma-def flip3-+ rem-log-exp sum-log flip-- flip-+
Counts
4 → 106
Calls
4 calls:
31.0ms
(+ (* x (log y)) (* z (log (- 1.0 y))))
40.0ms
(* z (log (- 1.0 y)))
18.0ms
(* x (log y))
11.0ms
(log (- 1.0 y))

series333.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(+ (* x (log y)) (* z (log (- 1.0 y))))
91.0ms
(* z (log (- 1.0 y)))
53.0ms
(* x (log y))
75.0ms
(log (- 1.0 y))

simplify3.2s

Counts
118 → 118
Iterations

Useful iterations: done (3.1s)

IterNodesCost
02151294
14971187
212021087
328491058
done50001056

prune668.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.0b
(+ (* x (log y)) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.2b
(* x (log y))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
48×prod-diff
46×*-un-lft-identity
43×add-cube-cbrt
40×distribute-rgt-in distribute-lft-in
34×associate-+r+
24×log-prod
21×pow1
14×log-pow
12×associate--l+
10×associate-*r*
7×add-exp-log add-cbrt-cube
6×associate-+l+ associate-*l*
5×add-log-exp
4×sub-neg
3×expm1-log1p-u log1p-expm1-u
2×associate-*r/ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- unswap-sqr
1×+-commutative flip3-- fma-def flip3-+ sum-log flip-- flip-+ difference-of-squares
Counts
3 → 140
Calls
3 calls:
55.0ms
(* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
42.0ms
(+ (* x (log y)) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
16.0ms
(* x (log y))

series413.0ms

Counts
3 → 9
Calls
3 calls:
116.0ms
(* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
218.0ms
(+ (* x (log y)) (* z (- (log 1.0) (fma 1.0 y (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
79.0ms
(* x (log y))

simplify3.8s

Counts
149 → 149
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
02435034
15053540
211832944
344232486
done50002486

prune814.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (* 2 (log (cbrt y))))
0.3b
(* (log (cbrt y)) x)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
24×distribute-rgt-in log-prod distribute-lft-in
19×add-sqr-sqrt
18×cbrt-prod
17×add-cube-cbrt *-un-lft-identity
12×pow1
11×add-exp-log add-cbrt-cube
8×associate-*l*
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3
2×log-pow *-commutative
1×unswap-sqr
Counts
4 → 92
Calls
4 calls:
25.0ms
(* x (* 2 (log (cbrt y))))
10.0ms
(* (log (cbrt y)) x)
2.0ms
(cbrt y)
2.0ms
(cbrt y)

series1.2s

Counts
4 → 12
Calls
4 calls:
450.0ms
(* x (* 2 (log (cbrt y))))
158.0ms
(* (log (cbrt y)) x)
247.0ms
(cbrt y)
302.0ms
(cbrt y)

simplify3.8s

Counts
104 → 104
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
0147952
1298896
2828765
33269748
done5001748

prune794.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* x (* 2 (log (cbrt y)))) (* 1/3 (* x (log y))))
0.3b
(* x (* 2 (log (cbrt y))))
0.4b
(* 1/3 (* x (log y)))
0.6b
(cbrt y)

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
72×distribute-rgt-in log-prod distribute-lft-in
31×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×cbrt-prod
24×associate-+l+
14×pow1 add-exp-log add-cbrt-cube
12×associate-+r+
6×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
4×expm1-log1p-u log1p-expm1-u
2×associate-*r* *-commutative
1×+-commutative fma-def flip3-+ pow1/3 sum-log flip-+
Counts
4 → 139
Calls
4 calls:
52.0ms
(+ (* x (* 2 (log (cbrt y)))) (* 1/3 (* x (log y))))
50.0ms
(* x (* 2 (log (cbrt y))))
32.0ms
(* 1/3 (* x (log y)))
1.0ms
(cbrt y)

series672.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(+ (* x (* 2 (log (cbrt y)))) (* 1/3 (* x (log y))))
142.0ms
(* x (* 2 (log (cbrt y))))
51.0ms
(* 1/3 (* x (log y)))
245.0ms
(cbrt y)

simplify2.0s

Counts
151 → 151
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02571966
15961729
217771395
done50011311

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes329.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02634
13434
done3434

end0.0ms

sample6.2s

Algorithm
intervals
Results
2.8s24052×body80nan
565.0ms5518×body80valid
386.0ms862×body640valid
359.0ms416×body1280valid
295.0ms749×body320valid
80.0ms495×body160valid