Details

Time bar (total: 8.8s)

sample17.0ms

Algorithm
intervals
Results
8.0ms282×body80valid
0.0ms3×body1280valid
0.0ms1×body640valid

simplify64.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
09204
118164
234124
352124
466124
571124
done71124

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
7×add-log-exp
6×add-sqr-sqrt distribute-lft-out
5×associate-*r*
4×pow1 add-cbrt-cube add-exp-log add-cube-cbrt
3×sum-log associate-*l*
2×flip3-+ associate-*r/ flip-+
1×distribute-rgt-in +-commutative associate-+r+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
24.0ms
(+ 20.0 (+ 10.0 d2))
55.0ms
(* d1 (+ 20.0 (+ 10.0 d2)))

series74.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(+ 20.0 (+ 10.0 d2))
50.0ms
(* d1 (+ 20.0 (+ 10.0 d2)))

simplify1.2s

Counts
45 → 45
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0657766
11986681
28046681
done50006601

prune161.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 20.0 (+ 10.0 d2))
0.0b
(+ 20.0 (+ 10.0 d2))
0.1b
(* d1 (sqrt (+ 20.0 (+ 10.0 d2))))
0.2b
(* (* d1 (sqrt (+ 20.0 (+ 10.0 d2)))) (sqrt (+ 20.0 (+ 10.0 d2))))

rewrite292.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
16×associate-*r*
14×sqrt-div add-log-exp
13×add-sqr-sqrt
12×distribute-lft-out
11×pow1 add-cbrt-cube add-exp-log sqrt-prod
10×associate-*r/
9×flip3-+ add-cube-cbrt flip-+
6×sum-log
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
2×+-commutative associate-+r+ associate-*l/ *-commutative unswap-sqr
Counts
4 → 87
Calls
4 calls:
19.0ms
(+ 20.0 (+ 10.0 d2))
12.0ms
(+ 20.0 (+ 10.0 d2))
77.0ms
(* d1 (sqrt (+ 20.0 (+ 10.0 d2))))
179.0ms
(* (* d1 (sqrt (+ 20.0 (+ 10.0 d2)))) (sqrt (+ 20.0 (+ 10.0 d2))))

series169.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ 20.0 (+ 10.0 d2))
18.0ms
(+ 20.0 (+ 10.0 d2))
72.0ms
(* d1 (sqrt (+ 20.0 (+ 10.0 d2))))
43.0ms
(* (* d1 (sqrt (+ 20.0 (+ 10.0 d2)))) (sqrt (+ 20.0 (+ 10.0 d2))))

simplify1.8s

Counts
99 → 99
Iterations

Useful iterations: done (1.8s)

IterNodesCost
012926333
135120443
2184420043
done500219883

prune359.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ 10.0 d2) (* (+ 10.0 d2) (+ 10.0 d2)))
0.2b
(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 (+ 10.0 d2)))
3.6b
(* d1 (+ (* 20.0 (* 20.0 20.0)) (* (+ 10.0 d2) (* (+ 10.0 d2) (+ 10.0 d2)))))
15.8b
(/ (* d1 (+ (* 20.0 (* 20.0 20.0)) (* (+ 10.0 d2) (* (+ 10.0 d2) (+ 10.0 d2))))) (+ (* 20.0 20.0) (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 (+ 10.0 d2)))))

rewrite491.0ms

Algorithm
rewrite-expression-head
Rules
54×flip3-+ flip-+
44×associate-*r/
36×frac-times
20×pow1
16×add-cbrt-cube add-exp-log frac-sub
14×associate-*l/
12×add-sqr-sqrt
11×*-un-lft-identity
9×add-cube-cbrt
7×distribute-rgt-in distribute-lft-in associate-*l*
6×add-log-exp
5×associate-*r* prod-exp pow-prod-up cbrt-unprod
4×pow-prod-down sub-div
3×associate-/r* times-frac cube-unmult
2×cbrt-undiv div-exp associate--l+ associate-/r/ *-commutative associate--r+ unswap-sqr associate-/l/
1×pow2 clear-num sub-neg frac-2neg pow-plus flip3-- distribute-rgt-out-- diff-log pow-sqr sum-cubes div-inv flip-- distribute-lft-out associate-/l*
Counts
4 → 140
Calls
4 calls:
72.0ms
(* (+ 10.0 d2) (* (+ 10.0 d2) (+ 10.0 d2)))
17.0ms
(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 (+ 10.0 d2)))
203.0ms
(* d1 (+ (* 20.0 (* 20.0 20.0)) (* (+ 10.0 d2) (* (+ 10.0 d2) (+ 10.0 d2)))))
187.0ms
(/ (* d1 (+ (* 20.0 (* 20.0 20.0)) (* (+ 10.0 d2) (* (+ 10.0 d2) (+ 10.0 d2))))) (+ (* 20.0 20.0) (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 (+ 10.0 d2)))))

series500.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (+ 10.0 d2) (* (+ 10.0 d2) (+ 10.0 d2)))
60.0ms
(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 (+ 10.0 d2)))
131.0ms
(* d1 (+ (* 20.0 (* 20.0 20.0)) (* (+ 10.0 d2) (* (+ 10.0 d2) (+ 10.0 d2)))))
260.0ms
(/ (* d1 (+ (* 20.0 (* 20.0 20.0)) (* (+ 10.0 d2) (* (+ 10.0 d2) (+ 10.0 d2))))) (+ (* 20.0 20.0) (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 (+ 10.0 d2)))))

simplify1.4s

Counts
152 → 152
Iterations

Useful iterations: done (1.3s)

IterNodesCost
030972974
1100055869
done500053912

prune841.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes130.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07124
110124
done10124

end0.0ms

sample1.2s

Algorithm
intervals
Results
953.0ms9058×body80valid
10.0ms52×body1280valid
7.0ms45×body640valid
3.0ms27×body320valid
1.0ms11×body160valid