Details

Time bar (total: 15.3s)

sample101.0ms

Algorithm
intervals
Results
29.0ms706×body80nan
10.0ms36×body640valid
8.0ms166×body80valid
7.0ms13×body1280valid
4.0ms27×body320valid
2.0ms16×body160valid

simplify164.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
12113
23013
33813
44413
55913
68313
710513
812413
913213
1013913
1114013
done14013

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize11.0ms

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))
6.2b
(log (- 1.0 y))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
21×log-prod *-un-lft-identity
13×add-cube-cbrt
11×pow1
add-exp-log add-log-exp
distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
associate-*l*
distribute-lft-out-- difference-of-squares
log-pow
log-div flip3-- diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
sub-neg rem-log-exp associate--l+ sum-log
Counts
4 → 86
Calls
4 calls:
14.0ms
(* z (log (- 1.0 y)))
40.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
8.0ms
(* x (log y))
5.0ms
(log (- 1.0 y))

series230.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* z (log (- 1.0 y)))
87.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
36.0ms
(* x (log y))
43.0ms
(log (- 1.0 y))

simplify1.2s

Counts
98 → 98
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02091141
14371103
21044987
32657953
done5000952

prune241.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt log-prod
21×*-un-lft-identity
16×distribute-rgt-in add-cube-cbrt distribute-lft-in
13×associate--l+
11×add-log-exp
10×pow1 associate-+r+ associate-*r*
add-exp-log add-cbrt-cube
associate-+l+ associate-*l*
sub-neg
distribute-lft-out--
flip3-- diff-log associate-*r/ pow-prod-down prod-exp sum-log log-pow *-commutative flip-- cbrt-unprod difference-of-squares unswap-sqr
+-commutative flip3-+ flip-+
Counts
4 → 101
Calls
4 calls:
16.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
60.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
40.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
8.0ms
(* x (log y))

series445.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
100.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
179.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
37.0ms
(* x (log y))

simplify1.9s

Counts
113 → 113
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02012374
14362239
211592120
342292067
done50002064

prune366.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
cbrt-prod add-log-exp
associate-*r* pow-prod-down prod-exp cbrt-unprod
pow1/3
+-commutative distribute-rgt-out flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
4 → 52
Calls
4 calls:
19.0ms
(* (* 2 (log (cbrt y))) x)
20.0ms
(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series622.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (* 2 (log (cbrt y))) x)
128.0ms
(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
181.0ms
(cbrt y)
183.0ms
(cbrt y)

simplify4.0s

Counts
64 → 64
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
093644
1247518
2969425
34950353
done5000353

prune339.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log (pow y 1/3)) x)
0.3b
(+ (* (* 2 (log (cbrt y))) x) (* (log (pow y 1/3)) x))
0.7b
(cbrt y)
5.1b
(pow y 1/3)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
pow1 add-exp-log
add-cbrt-cube add-log-exp
associate-*l*
cbrt-prod unpow-prod-down pow-unpow associate-*r*
+-commutative pow-to-exp distribute-rgt-out pow-pow flip3-+ unpow1/3 pow1/3 pow-prod-down pow-exp prod-exp sum-log log-pow *-commutative cbrt-unprod flip-+ unswap-sqr sqr-pow
Counts
4 → 60
Calls
4 calls:
9.0ms
(* (log (pow y 1/3)) x)
23.0ms
(+ (* (* 2 (log (cbrt y))) x) (* (log (pow y 1/3)) x))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series639.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(* (log (pow y 1/3)) x)
178.0ms
(+ (* (* 2 (log (cbrt y))) x) (* (log (pow y 1/3)) x))
180.0ms
(cbrt y)
177.0ms
(pow y 1/3)

simplify936.0ms

Counts
72 → 72
Iterations

Useful iterations: done (934.0ms)

IterNodesCost
0120701
1283564
2931456
done5000408

prune362.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes224.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02735
13635
done3635

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.0s24249×body80nan
271.0ms5483×body80valid
255.0ms908×body640valid
243.0ms422×body1280valid
122.0ms738×body320valid
51.0ms486×body160valid