Details

Time bar (total: 18.8s)

sample236.0ms

Algorithm
intervals
Results
98.0ms748×body80nan
19.0ms178×body80valid
14.0ms11×body1280valid
14.0ms24×body640valid
10.0ms28×body320valid
5.0ms19×body160valid

simplify518.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
12113
23013
33813
44413
55913
69013
718713
861113
done500013

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (log (- 1.0 y)))
0.0b
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.3b
(* x (log y))
4.6b
(log (- 1.0 y))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
21×log-prod *-un-lft-identity
13×add-cube-cbrt
11×pow1
9×add-exp-log add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
6×associate-*l*
4×distribute-lft-out-- difference-of-squares
3×log-pow
2×log-div flip3-- diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
1×sub-neg rem-log-exp associate--l+ sum-log
Counts
4 → 86
Calls
4 calls:
23.0ms
(* z (log (- 1.0 y)))
73.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
18.0ms
(* x (log y))
10.0ms
(log (- 1.0 y))

series389.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(* z (log (- 1.0 y)))
148.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
63.0ms
(* x (log y))
50.0ms
(log (- 1.0 y))

simplify835.0ms

Counts
98 → 98
Iterations

Useful iterations: done (831.0ms)

IterNodesCost
02091141
14701103
21490987
done5000966

prune370.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
0.0b
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.3b
(* x (log y))

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
84×add-sqr-sqrt
80×times-frac
72×associate-*r*
56×unpow-prod-down
48×*-un-lft-identity
46×add-cube-cbrt
29×add-exp-log
24×unpow2 sqr-pow
18×log-prod unswap-sqr
11×distribute-rgt-in distribute-lft-in prod-exp add-cbrt-cube add-log-exp
10×associate-+r+
9×pow1 div-exp
7×associate--l+
6×pow-to-exp associate-+l+ associate-*l* pow-exp
3×sub-neg cbrt-unprod
2×diff-log pow-prod-down sum-log *-commutative
1×cbrt-undiv +-commutative flip3-- flip3-+ associate-*r/ log-pow flip-- flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 178
Calls
4 calls:
56.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
58.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
17.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
27.0ms
(* x (log y))

series604.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
260.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
184.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
67.0ms
(* x (log y))

simplify2.5s

Counts
190 → 190
Iterations

Useful iterations: done (2.5s)

IterNodesCost
03583054
19312769
238982428
done50022427

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt y)))
0.3b
(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
0.7b
(cbrt y)
0.7b
(cbrt y)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod
18×cbrt-prod add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
12×distribute-rgt-in associate-+r+ distribute-lft-in
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 77
Calls
4 calls:
10.0ms
(* x (log (cbrt y)))
23.0ms
(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series897.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(* x (log (cbrt y)))
180.0ms
(+ (* (* 2 (log (cbrt y))) x) (* x (log (cbrt y))))
293.0ms
(cbrt y)
299.0ms
(cbrt y)

simplify859.0ms

Counts
89 → 89
Iterations

Useful iterations: done (856.0ms)

IterNodesCost
0119909
1305849
21321721
done5000711

prune674.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2 (log (cbrt y))) x)
0.3b
(+ (* (* 2 (log (cbrt y))) x) (* x (* (- (log y)) -1/3)))
0.4b
(* (- (log y)) -1/3)
0.7b
(cbrt y)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 associate-*l*
12×add-sqr-sqrt
11×add-exp-log add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
6×associate-*r* add-log-exp
4×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-neg-out cbrt-prod
2×log-pow *-commutative distribute-rgt-neg-out
1×+-commutative neg-mul-1 flip3-+ pow1/3 unsub-neg sum-log flip-+ unswap-sqr
Counts
4 → 70
Calls
4 calls:
26.0ms
(* (* 2 (log (cbrt y))) x)
21.0ms
(+ (* (* 2 (log (cbrt y))) x) (* x (* (- (log y)) -1/3)))
12.0ms
(* (- (log y)) -1/3)
1.0ms
(cbrt y)

series878.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(* (* 2 (log (cbrt y))) x)
282.0ms
(+ (* (* 2 (log (cbrt y))) x) (* x (* (- (log y)) -1/3)))
236.0ms
(* (- (log y)) -1/3)
208.0ms
(cbrt y)

simplify1.6s

Counts
82 → 82
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0150839
1391779
22163536
done5000525

prune555.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes231.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify22.0ms

Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
02836
14036
24935
35435
done5435

end0.0ms

sample6.1s

Algorithm
intervals
Results
2.4s24313×body80nan
920.0ms5569×body80valid
434.0ms845×body640valid
362.0ms414×body1280valid
243.0ms744×body320valid
75.0ms462×body160valid