Details

Time bar (total: 14.0s)

sample19.0ms

Algorithm
intervals
Results
9.0ms304×body80valid
0.0msbody1280valid
0.0msbody640valid
0.0msbody320valid

simplify39.0ms

Counts
1 → 1
Iterations
IterNodes
done62
562
461
349
233
118
09

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ d2 (+ 10.0 20.0)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-sqr-sqrt associate-*r*
pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt distribute-lft-out
associate-*r/
distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
49.0ms
(* d1 (+ d2 (+ 10.0 20.0)))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(* d1 (+ d2 (+ 10.0 20.0)))

simplify2.3s

Counts
27 → 27
Iterations
IterNodes
done5239
33918
2654
1160
050

prune123.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* d2 d1) (* (+ 10.0 20.0) d1))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
add-sqr-sqrt pow1 +-commutative sum-log *-un-lft-identity flip3-+ distribute-rgt-out add-cbrt-cube add-exp-log add-cube-cbrt flip-+
Counts
1 → 12
Calls
1 calls:
7.0ms
(+ (* d2 d1) (* (+ 10.0 20.0) d1))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(+ (* d2 d1) (* (+ 10.0 20.0) d1))

simplify1.6s

Counts
15 → 15
Iterations
IterNodes
done5019
32047
2421
1111
033

prune70.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* d2 d2) (- (* (+ 10.0 20.0) (+ 10.0 20.0)) (* d2 (+ 10.0 20.0))))
0.1b
(* d2 (* d2 d2))
1.9b
(* d1 (+ (* d2 (* d2 d2)) (* (+ 20.0 10.0) (* (+ 20.0 10.0) (+ 20.0 10.0)))))
12.3b
(/ (* d1 (+ (* d2 (* d2 d2)) (* (+ 20.0 10.0) (* (+ 20.0 10.0) (+ 20.0 10.0))))) (+ (* d2 d2) (- (* (+ 10.0 20.0) (+ 10.0 20.0)) (* d2 (+ 10.0 20.0)))))

rewrite359.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1
16×add-cbrt-cube add-exp-log
12×add-sqr-sqrt
*-un-lft-identity add-cube-cbrt add-log-exp
associate-*l*
associate-*r* prod-exp pow-prod-up cbrt-unprod
associate-+r+ flip3-+ pow-prod-down associate-*r/ flip-+
associate-/r* times-frac cube-unmult
distribute-rgt-in cbrt-undiv sum-log distribute-lft-in div-exp associate--l+ associate-/r/ *-commutative unswap-sqr associate-/l/
pow2 +-commutative clear-num associate-+r- sub-neg frac-2neg pow-plus diff-log pow-sqr sum-cubes div-inv associate-/l*
Counts
4 → 89
Calls
4 calls:
48.0ms
(+ (* d2 d2) (- (* (+ 10.0 20.0) (+ 10.0 20.0)) (* d2 (+ 10.0 20.0))))
13.0ms
(* d2 (* d2 d2))
175.0ms
(* d1 (+ (* d2 (* d2 d2)) (* (+ 20.0 10.0) (* (+ 20.0 10.0) (+ 20.0 10.0)))))
118.0ms
(/ (* d1 (+ (* d2 (* d2 d2)) (* (+ 20.0 10.0) (* (+ 20.0 10.0) (+ 20.0 10.0))))) (+ (* d2 d2) (- (* (+ 10.0 20.0) (+ 10.0 20.0)) (* d2 (+ 10.0 20.0)))))

series453.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ (* d2 d2) (- (* (+ 10.0 20.0) (+ 10.0 20.0)) (* d2 (+ 10.0 20.0))))
43.0ms
(* d2 (* d2 d2))
139.0ms
(* d1 (+ (* d2 (* d2 d2)) (* (+ 20.0 10.0) (* (+ 20.0 10.0) (+ 20.0 10.0)))))
230.0ms
(/ (* d1 (+ (* d2 (* d2 d2)) (* (+ 20.0 10.0) (* (+ 20.0 10.0) (+ 20.0 10.0))))) (+ (* d2 d2) (- (* (+ 10.0 20.0) (+ 10.0 20.0)) (* d2 (+ 10.0 20.0)))))

simplify1.8s

Counts
101 → 101
Iterations
IterNodes
done5008
22211
1510
0167

prune558.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- (+ 20.0 10.0) d2) (+ 20.0 10.0))
0.1b
(* d2 (* d2 d2))
0.2b
(/ d1 (/ (+ (* (- (+ 20.0 10.0) d2) (+ 20.0 10.0)) (* d2 d2)) (+ (* (* (+ 20.0 10.0) (+ 20.0 10.0)) (+ 20.0 10.0)) (* d2 (* d2 d2)))))
12.3b
(/ (+ (* (- (+ 20.0 10.0) d2) (+ 20.0 10.0)) (* d2 d2)) (+ (* (* (+ 20.0 10.0) (+ 20.0 10.0)) (+ 20.0 10.0)) (* d2 (* d2 d2))))

rewrite626.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
74×*-un-lft-identity
72×add-sqr-sqrt
67×add-cube-cbrt
22×associate-/r*
20×pow1
18×add-cbrt-cube add-exp-log
17×cube-unmult
16×pow3 sum-cubes
11×associate-/r/
flip3-+ associate-*l* flip-+
div-inv associate-/l*
associate-*r* pow-prod-up
frac-times cbrt-undiv div-exp pow-prod-down prod-exp cbrt-unprod add-log-exp
flip3-- flip--
clear-num frac-2neg associate-*l/ associate-*r/ *-commutative distribute-lft-out distribute-lft-out-- unswap-sqr associate-/l/
pow2 distribute-rgt-in distribute-lft-in pow-plus pow-sqr difference-of-squares
Counts
4 → 181
Calls
4 calls:
124.0ms
(* (- (+ 20.0 10.0) d2) (+ 20.0 10.0))
13.0ms
(* d2 (* d2 d2))
186.0ms
(/ d1 (/ (+ (* (- (+ 20.0 10.0) d2) (+ 20.0 10.0)) (* d2 d2)) (+ (* (* (+ 20.0 10.0) (+ 20.0 10.0)) (+ 20.0 10.0)) (* d2 (* d2 d2)))))
289.0ms
(/ (+ (* (- (+ 20.0 10.0) d2) (+ 20.0 10.0)) (* d2 d2)) (+ (* (* (+ 20.0 10.0) (+ 20.0 10.0)) (+ 20.0 10.0)) (* d2 (* d2 d2))))

series430.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (- (+ 20.0 10.0) d2) (+ 20.0 10.0))
44.0ms
(* d2 (* d2 d2))
253.0ms
(/ d1 (/ (+ (* (- (+ 20.0 10.0) d2) (+ 20.0 10.0)) (* d2 d2)) (+ (* (* (+ 20.0 10.0) (+ 20.0 10.0)) (+ 20.0 10.0)) (* d2 (* d2 d2)))))
77.0ms
(/ (+ (* (- (+ 20.0 10.0) d2) (+ 20.0 10.0)) (* d2 d2)) (+ (* (* (+ 20.0 10.0) (+ 20.0 10.0)) (+ 20.0 10.0)) (* d2 (* d2 d2))))

simplify3.2s

Counts
193 → 193
Iterations
IterNodes
done5007
24244
1969
0342

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample783.0ms

Algorithm
intervals
Results
494.0ms9006×body80valid
37.0ms47×body640valid
15.0ms72×body1280valid
3.0ms29×body320valid
1.0ms10×body160valid