Details

Time bar (total: 6.3s)

sample17.0ms

Algorithm
intervals
Results
8.0ms280×body80valid
0.0ms1×body640valid

simplify29.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0911
1189
2347
3517
4597
done597

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite99.0ms

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:
27.0ms
(+ (+ 10.0 d2) 20.0)
71.0ms
(* d1 (+ (+ 10.0 d2) 20.0))

series48.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(+ (+ 10.0 d2) 20.0)
32.0ms
(* d1 (+ (+ 10.0 d2) 20.0))

simplify1.3s

Counts
45 → 45
Iterations

Useful iterations: 3 (543.0ms)

IterNodesCost
065392
1177380
2610342
33072334
done5001334

prune64.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ d2 30.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
21.0ms
(* d1 (+ d2 30.0))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* d1 (+ d2 30.0))

simplify2.9s

Counts
26 → 26
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
046194
1127183
2383163
31293163
44250163
done5001163

prune38.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow d2 3) (pow 30.0 3))
0.2b
(+ (* d2 d2) (- (* 30.0 30.0) (* d2 30.0)))
2.6b
(* d1 (+ (pow d2 3) (pow 30.0 3)))
15.8b
(/ (* d1 (+ (pow d2 3) (pow 30.0 3))) (+ (* d2 d2) (- (* 30.0 30.0) (* d2 30.0))))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
11×add-exp-log add-cbrt-cube add-log-exp
10×add-sqr-sqrt distribute-lft-out
9×associate-*r*
8×add-cube-cbrt unpow-prod-down cube-prod
6×pow1
5×flip3-+ flip-+
4×associate-*r/
3×times-frac associate-*l* associate-/r* sum-log
2×cbrt-undiv +-commutative associate-+r+ div-exp prod-exp associate-/r/ sum-cubes cbrt-unprod associate-/l/
1×distribute-rgt-in associate-+r- sub-neg frac-2neg distribute-lft-in diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 85
Calls
4 calls:
20.0ms
(+ (pow d2 3) (pow 30.0 3))
18.0ms
(+ (* d2 d2) (- (* 30.0 30.0) (* d2 30.0)))
70.0ms
(* d1 (+ (pow d2 3) (pow 30.0 3)))
56.0ms
(/ (* d1 (+ (pow d2 3) (pow 30.0 3))) (+ (* d2 d2) (- (* 30.0 30.0) (* d2 30.0))))

series306.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ (pow d2 3) (pow 30.0 3))
23.0ms
(+ (* d2 d2) (- (* 30.0 30.0) (* d2 30.0)))
80.0ms
(* d1 (+ (pow d2 3) (pow 30.0 3)))
148.0ms
(/ (* d1 (+ (pow d2 3) (pow 30.0 3))) (+ (* d2 d2) (- (* 30.0 30.0) (* d2 30.0))))

simplify664.0ms

Counts
97 → 97
Iterations

Useful iterations: done (657.0ms)

IterNodesCost
01371605
13831411
215071213
done50001207

prune208.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes28.0ms

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

sample393.0ms

Algorithm
intervals
Results
196.0ms8940×body80valid
5.0ms49×body1280valid
4.0ms51×body640valid
1.0ms24×body320valid
1.0ms16×body160valid