Details

Time bar (total: 12.8s)

sample32.0ms

Algorithm
intervals
Results
15.0ms288×body80valid
0.0ms2×body1280valid
0.0ms1×body640valid

simplify32.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0911
1189
2347
3517
4597
done597

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite148.0ms

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:
88.0ms
(* d1 (+ (+ 10.0 d2) 20.0))
58.0ms
(+ (+ 10.0 d2) 20.0)

series74.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* d1 (+ (+ 10.0 d2) 20.0))
29.0ms
(+ (+ 10.0 d2) 20.0)

simplify2.1s

Counts
45 → 45
Iterations

Useful iterations: 3 (872.0ms)

IterNodesCost
065392
1177380
2609342
33059334
done5002334

prune116.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
3×distribute-lft-out
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+
Counts
2 → 26
Calls
2 calls:
16.0ms
(+ (* d1 10.0) (* d1 d2))
43.0ms
(+ (+ (* d1 10.0) (* d1 d2)) (* d1 20.0))

series124.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(+ (* d1 10.0) (* d1 d2))
70.0ms
(+ (+ (* d1 10.0) (* d1 d2)) (* d1 20.0))

simplify2.3s

Counts
32 → 32
Iterations

Useful iterations: 3 (821.0ms)

IterNodesCost
057433
1186337
2732283
33082279
done5000279

prune84.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
0.0b
(* (+ 10.0 d2) (+ 10.0 d2))
5.9b
(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
10.3b
(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

rewrite297.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
20×add-sqr-sqrt
13×pow1 add-exp-log add-cbrt-cube
12×add-cube-cbrt
8×distribute-rgt-in distribute-lft-in associate-*r* distribute-lft-out
7×associate-*l*
6×flip3-+ times-frac associate-*r/ swap-sqr associate--l+ associate-/r* flip-+ add-log-exp
4×frac-times flip3-- flip-- distribute-lft-out-- difference-of-squares
3×sub-neg prod-exp cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative associate-/l/ unswap-sqr
1×pow2 frac-2neg pow-plus diff-log clear-num pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 115
Calls
4 calls:
20.0ms
(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
66.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
85.0ms
(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
122.0ms
(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

series334.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))
27.0ms
(* (+ 10.0 d2) (+ 10.0 d2))
81.0ms
(* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0)))
190.0ms
(/ (* d1 (- (* (+ 10.0 d2) (+ 10.0 d2)) (* 20.0 20.0))) (- (+ 10.0 d2) 20.0))

simplify1.5s

Counts
127 → 127
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01862147
15132001
219901725
done50001503

prune319.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite388.0ms

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-exp-log sqrt-prod add-cbrt-cube
10×associate-*r/
9×add-cube-cbrt flip3-+ flip-+
6×sum-log
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
2×+-commutative associate-+l+ associate-*l/ *-commutative unswap-sqr
Counts
4 → 87
Calls
4 calls:
28.0ms
(+ (+ 10.0 d2) 20.0)
43.0ms
(+ (+ 10.0 d2) 20.0)
96.0ms
(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
218.0ms
(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

series177.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(+ (+ 10.0 d2) 20.0)
18.0ms
(+ (+ 10.0 d2) 20.0)
85.0ms
(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
56.0ms
(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

simplify3.6s

Counts
99 → 99
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
01291391
13291135
210351011
34981989
done5001989

prune266.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes69.0ms

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
077
1107
done107

end0.0ms

sample705.0ms

Algorithm
intervals
Results
344.0ms9002×body80valid
11.0ms65×body1280valid
6.0ms46×body640valid
2.0ms23×body320valid
1.0ms15×body160valid