Details

Time bar (total: 13.8s)

sample18.0ms

Algorithm
intervals
Results
9.0ms290×body80valid
0.0ms3×body640valid
0.0ms1×body1280valid

simplify32.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0911
1189
2347
3517
4597
done597

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite159.0ms

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-exp-log add-cube-cbrt add-cbrt-cube
3×associate-*l* sum-log
2×flip3-+ associate-*r/ flip-+
1×+-commutative distribute-rgt-in associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
38.0ms
(+ (+ 10.0 d2) 20.0)
120.0ms
(* d1 (+ (+ 10.0 d2) 20.0))

series73.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ (+ 10.0 d2) 20.0)
50.0ms
(* d1 (+ (+ 10.0 d2) 20.0))

simplify1.9s

Counts
45 → 45
Iterations

Useful iterations: 3 (815.0ms)

IterNodesCost
065392
1177380
2610342
33072334
done5001334

prune113.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube distribute-lft-out
2×associate-*r/
1×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:
84.0ms
(* d1 (+ 10.0 (+ d2 20.0)))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* d1 (+ 10.0 (+ d2 20.0)))

simplify1.9s

Counts
27 → 27
Iterations

Useful iterations: 3 (878.0ms)

IterNodesCost
051253
1147246
2537218
32782212
done5002212

prune86.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite368.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
21×sqrt-prod
18×sqrt-div
17×add-sqr-sqrt
16×associate-*r*
13×pow1
12×distribute-lft-out
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
38.0ms
(sqrt (+ 10.0 (+ d2 20.0)))
35.0ms
(sqrt (+ 10.0 (+ d2 20.0)))
90.0ms
(* d1 (sqrt (+ 10.0 (+ d2 20.0))))
201.0ms
(* (* d1 (sqrt (+ 10.0 (+ d2 20.0)))) (sqrt (+ 10.0 (+ d2 20.0))))

series246.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(sqrt (+ 10.0 (+ d2 20.0)))
63.0ms
(sqrt (+ 10.0 (+ d2 20.0)))
82.0ms
(* d1 (sqrt (+ 10.0 (+ d2 20.0))))
47.0ms
(* (* d1 (sqrt (+ 10.0 (+ d2 20.0)))) (sqrt (+ 10.0 (+ d2 20.0))))

simplify3.6s

Counts
103 → 103
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
01341581
13471273
210461145
345391129
done50001129

prune241.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (+ 10.0 d2) 3)
0.2b
(+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0)))
2.6b
(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
15.7b
(/ (* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3))) (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0))))

rewrite468.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
32×frac-add
29×flip3-+ flip-+
18×associate-/r/
16×frac-times flip3-- flip--
15×distribute-lft-out
13×add-sqr-sqrt associate-*r*
12×add-exp-log unpow-prod-down cube-prod associate-*r/ add-cbrt-cube
11×add-cube-cbrt
9×add-log-exp
8×associate-*l/
7×pow1
3×pow-unpow times-frac associate-*l* associate-/r*
2×cbrt-undiv cube-div distribute-rgt-in associate-+l+ associate-+r+ distribute-lft-in div-exp prod-exp sum-log cbrt-unprod associate-/l/
1×+-commutative cube-mult pow-to-exp associate-+r- sub-neg pow-pow frac-2neg diff-log unpow3 pow-prod-down pow-exp clear-num sum-cubes *-commutative div-inv associate-/l* rem-cube-cbrt unswap-sqr sqr-pow
Counts
4 → 133
Calls
4 calls:
9.0ms
(pow (+ 10.0 d2) 3)
41.0ms
(+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0)))
212.0ms
(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
198.0ms
(/ (* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3))) (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0))))

series408.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(pow (+ 10.0 d2) 3)
53.0ms
(+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0)))
93.0ms
(* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)))
217.0ms
(/ (* d1 (+ (pow (+ 10.0 d2) 3) (pow 20.0 3))) (+ (* (+ 10.0 d2) (+ 10.0 d2)) (- (* 20.0 20.0) (* (+ 10.0 d2) 20.0))))

simplify2.6s

Counts
145 → 145
Iterations

Useful iterations: done (2.6s)

IterNodesCost
02794896
19744170
248183730
done50013718

prune644.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
done107

end0.0ms

sample685.0ms

Algorithm
intervals
Results
469.0ms8962×body80valid
12.0ms67×body1280valid
7.0ms52×body640valid
2.0ms21×body320valid
1.0ms11×body160valid