Details

Time bar (total: 15.1s)

sample20.0ms

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

simplify73.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0911
1189
2347
3517
4597
done597

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite214.0ms

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:
55.0ms
(+ (+ 10.0 d2) 20.0)
154.0ms
(* d1 (+ (+ 10.0 d2) 20.0))

series71.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(+ (+ 10.0 d2) 20.0)
54.0ms
(* d1 (+ (+ 10.0 d2) 20.0))

simplify1.8s

Counts
45 → 45
Iterations

Useful iterations: 3 (814.0ms)

IterNodesCost
065392
1177380
2610342
33072334
done5001334

prune92.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ d2 30.0))

rewrite28.0ms

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:
28.0ms
(* d1 (+ d2 30.0))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(* d1 (+ d2 30.0))

simplify4.7s

Counts
26 → 26
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
046194
1127183
2383163
31293163
44250163
done5001163

prune44.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

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)))

rewrite400.0ms

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:
53.0ms
(sqrt (+ (+ 10.0 d2) 20.0))
41.0ms
(sqrt (+ (+ 10.0 d2) 20.0))
109.0ms
(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
192.0ms
(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

series224.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(sqrt (+ (+ 10.0 d2) 20.0))
37.0ms
(sqrt (+ (+ 10.0 d2) 20.0))
86.0ms
(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
38.0ms
(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

simplify3.3s

Counts
103 → 103
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
01341581
13411283
210361155
345631129
done50001129

prune233.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite439.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
15×distribute-lft-out
13×add-sqr-sqrt associate-*l*
12×add-exp-log unpow-prod-down cube-prod add-cbrt-cube
11×add-cube-cbrt
7×pow1
6×add-log-exp
4×associate-*l/ associate--r+
3×sub-neg pow-unpow flip3-+ times-frac associate-*r* associate-/r* flip-+
2×cbrt-undiv cube-div distribute-rgt-in flip3-- distribute-lft-in div-exp prod-exp associate-/r/ flip-- cbrt-unprod associate-/l/
1×cube-mult pow-to-exp 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 → 98
Calls
4 calls:
11.0ms
(- (* 20.0 20.0) (* (+ 10.0 d2) (- 20.0 (+ 10.0 d2))))
18.0ms
(pow (+ 10.0 d2) 3)
302.0ms
(* (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)) d1)
105.0ms
(/ (* (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)) d1) (- (* 20.0 20.0) (* (+ 10.0 d2) (- 20.0 (+ 10.0 d2)))))

series270.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (* 20.0 20.0) (* (+ 10.0 d2) (- 20.0 (+ 10.0 d2))))
34.0ms
(pow (+ 10.0 d2) 3)
79.0ms
(* (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)) d1)
115.0ms
(/ (* (+ (pow (+ 10.0 d2) 3) (pow 20.0 3)) d1) (- (* 20.0 20.0) (* (+ 10.0 d2) (- 20.0 (+ 10.0 d2)))))

simplify1.4s

Counts
110 → 110
Iterations

Useful iterations: 2 (353.0ms)

IterNodesCost
01771993
14971883
220711635
done50001635

prune311.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes52.0ms

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 (0.0ms)

IterNodesCost
055
175
done75

end0.0ms

sample1.3s

Algorithm
intervals
Results
969.0ms8962×body80valid
14.0ms67×body1280valid
9.0ms52×body640valid
3.0ms21×body320valid
1.0ms11×body160valid