Details

Time bar (total: 8.8s)

sample102.0ms

Algorithm
intervals
Results
33.0ms668×body80nan
11.0ms195×body80valid
8.0ms26×body640valid
6.0ms8×body1280valid
3.0ms15×body320valid
1.0ms13×body160valid

simplify128.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0269
1499
21189
32569
45339
512509
626379
742979
845739
945889
1045889
done45889

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.0b
(* (- z 1.0) (log (- 1.0 y)))
0.2b
(* (- x 1.0) (log y))
5.2b
(log (- 1.0 y))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×*-un-lft-identity
21×log-prod
13×add-cube-cbrt
11×pow1
10×associate-*l*
9×add-exp-log add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
6×distribute-lft-out-- difference-of-squares
4×flip3-- associate-*l/ flip--
3×log-pow
2×log-div diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sub-neg rem-log-exp associate--l+ sum-log
Counts
4 → 94
Calls
4 calls:
78.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
28.0ms
(* (- z 1.0) (log (- 1.0 y)))
25.0ms
(* (- x 1.0) (log y))
5.0ms
(log (- 1.0 y))

series451.0ms

Counts
4 → 12
Calls
4 calls:
301.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
43.0ms
(* (- z 1.0) (log (- 1.0 y)))
62.0ms
(* (- x 1.0) (log y))
45.0ms
(log (- 1.0 y))

simplify46.0ms

Counts
106 → 106
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0498803
11805714
25001701
done5001701

prune297.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
94×add-sqr-sqrt
80×times-frac
78×associate-*r*
57×*-un-lft-identity
56×unpow-prod-down
50×add-cube-cbrt
31×add-exp-log
27×flip3-- flip--
24×log-prod associate-*l/ unpow2 sqr-pow
19×unswap-sqr
16×distribute-rgt-in distribute-lft-in frac-add
13×associate-*l* add-cbrt-cube
12×pow1 frac-times prod-exp associate--l+
10×associate-+r+
9×div-exp
7×associate-*r/
6×pow-to-exp associate-+l+ pow-exp add-log-exp
4×sub-neg cbrt-unprod distribute-lft-out--
3×pow-prod-down *-commutative difference-of-squares
2×log-pow
1×cbrt-undiv +-commutative flip3-+ sum-log flip-+ div-inv
Counts
4 → 223
Calls
4 calls:
36.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
30.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
76.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
25.0ms
(* (- x 1.0) (log y))

series340.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
156.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
69.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
60.0ms
(* (- x 1.0) (log y))

simplify54.0ms

Counts
235 → 235
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013322812
150012662
done50012662

prune966.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube 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 → 73
Calls
4 calls:
11.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series730.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (cbrt y) (cbrt y))
178.0ms
(cbrt y)
181.0ms
(cbrt y)
175.0ms
(cbrt y)

simplify91.0ms

Counts
85 → 85
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0115288
1472261
22959238
35003235
done5003235

prune447.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (pow y 1/3) (pow y 1/3))
0.6b
(cbrt y)
5.1b
(pow y 1/3)
5.1b
(pow y 1/3)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
24×unpow-prod-down
18×add-exp-log
17×add-cube-cbrt *-un-lft-identity
12×sqr-pow
9×prod-exp unswap-sqr
8×pow-to-exp pow-exp add-cbrt-cube
7×swap-sqr associate-*r* associate-*l*
6×pow1 pow-unpow unpow1/3
4×cbrt-unprod add-log-exp
3×cbrt-prod
2×pow-pow
1×pow2 pow1/3 pow-prod-down pow-sqr *-commutative pow-prod-up
Counts
4 → 102
Calls
4 calls:
17.0ms
(* (pow y 1/3) (pow y 1/3))
1.0ms
(cbrt y)
6.0ms
(pow y 1/3)
3.0ms
(pow y 1/3)

series701.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(* (pow y 1/3) (pow y 1/3))
179.0ms
(cbrt y)
171.0ms
(pow y 1/3)
174.0ms
(pow y 1/3)

simplify33.0ms

Counts
114 → 114
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0188372
1788287
25002267
done5002267

prune491.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

regimes285.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03723
13723
done3723

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.1s23584×body80nan
313.0ms5863×body80valid
238.0ms789×body640valid
158.0ms264×body1280valid
126.0ms682×body320valid
49.0ms434×body160valid