Details

Time bar (total: 8.8s)

sample19.0ms

Algorithm
intervals
Results
9.0ms322×body80valid
0.0ms1×body640valid

simplify81.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (11.0ms)

IterNodesCost
01113
11913
23911
3919
41599
51739
done1739

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ (+ (+ d3 5.0) 32.0) d2))

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
6×associate-*r* distribute-lft-out
5×add-sqr-sqrt
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-+ add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
155.0ms
(* d1 (+ (+ (+ d3 5.0) 32.0) d2))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(* d1 (+ (+ (+ d3 5.0) 32.0) d2))

simplify1.6s

Counts
28 → 28
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
054324
1159309
2671267
33577267
done5000267

prune51.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))
2.8b
(- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 d2))
8.8b
(* d1 (- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 d2)))
16.8b
(/ (* d1 (- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 d2))) (- (+ (+ d3 5.0) 32.0) d2))

rewrite296.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
30×distribute-lft-out
20×add-sqr-sqrt
13×pow1 add-exp-log add-cbrt-cube
12×add-cube-cbrt
11×swap-sqr
9×associate-*r*
8×distribute-rgt-in distribute-lft-in associate-*l*
7×times-frac associate-/r*
6×flip3-+ associate-*r/ associate--l+ flip-+ distribute-lft-out-- add-log-exp
4×frac-times flip3-- flip-- 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 → 124
Calls
4 calls:
77.0ms
(* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))
23.0ms
(- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 d2))
90.0ms
(* d1 (- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 d2)))
102.0ms
(/ (* d1 (- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 d2))) (- (+ (+ d3 5.0) 32.0) d2))

series240.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0))
39.0ms
(- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 d2))
84.0ms
(* d1 (- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 d2)))
101.0ms
(/ (* d1 (- (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (* d2 d2))) (- (+ (+ d3 5.0) 32.0) d2))

simplify976.0ms

Counts
136 → 136
Iterations

Useful iterations: 2 (257.0ms)

IterNodesCost
01942982
15492764
226312392
done50012392

prune254.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* d3 (+ d3 74.0))
2.8b
(- (+ 1369.0 (* d3 (+ d3 74.0))) (* d2 d2))
8.8b
(* d1 (- (+ 1369.0 (* d3 (+ d3 74.0))) (* d2 d2)))
16.8b
(/ (* d1 (- (+ 1369.0 (* d3 (+ d3 74.0))) (* d2 d2))) (- (+ (+ d3 5.0) 32.0) d2))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
20×add-sqr-sqrt
13×add-exp-log add-cbrt-cube
10×add-cube-cbrt
9×add-log-exp
8×pow1 associate-*r*
7×times-frac associate-/r* distribute-lft-out
6×associate-*r/ associate-*l* distribute-lft-out--
4×distribute-rgt-in flip3-- distribute-lft-in flip-- difference-of-squares
3×sub-neg prod-exp associate--l+ cbrt-unprod
2×cbrt-undiv diff-log div-exp pow-prod-down associate-/r/ *-commutative associate-/l/ unswap-sqr
1×frac-2neg flip3-+ clear-num sum-log flip-+ div-inv associate-/l*
Counts
4 → 98
Calls
4 calls:
9.0ms
(* d3 (+ d3 74.0))
12.0ms
(- (+ 1369.0 (* d3 (+ d3 74.0))) (* d2 d2))
28.0ms
(* d1 (- (+ 1369.0 (* d3 (+ d3 74.0))) (* d2 d2)))
83.0ms
(/ (* d1 (- (+ 1369.0 (* d3 (+ d3 74.0))) (* d2 d2))) (- (+ (+ d3 5.0) 32.0) d2))

series271.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* d3 (+ d3 74.0))
41.0ms
(- (+ 1369.0 (* d3 (+ d3 74.0))) (* d2 d2))
85.0ms
(* d1 (- (+ 1369.0 (* d3 (+ d3 74.0))) (* d2 d2)))
102.0ms
(/ (* d1 (- (+ 1369.0 (* d3 (+ d3 74.0))) (* d2 d2))) (- (+ (+ d3 5.0) 32.0) d2))

simplify924.0ms

Counts
110 → 110
Iterations

Useful iterations: 2 (368.0ms)

IterNodesCost
01841948
15011884
221471642
done50001642

prune263.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

1.6b
(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) d2))
4.1b
(+ (pow (+ (+ d3 5.0) 32.0) 3) (pow d2 3))
7.1b
(* d1 (+ (pow (+ (+ d3 5.0) 32.0) 3) (pow d2 3)))
28.1b
(/ (* d1 (+ (pow (+ (+ d3 5.0) 32.0) 3) (pow d2 3))) (+ (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) d2))))

rewrite746.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
50×distribute-lft-out
24×unpow-prod-down cube-prod
18×associate-/r/
17×associate-*r*
16×flip3-+ frac-add flip-+
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
9×flip3-- flip--
8×frac-times add-cube-cbrt associate-*r/ add-log-exp
6×pow1
4×associate-*l/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp sum-cubes cbrt-unprod associate-/l/
1×+-commutative distribute-rgt-in sub-neg distribute-rgt-out-- frac-2neg distribute-lft-in diff-log pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 115
Calls
4 calls:
3.0ms
(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) d2))
140.0ms
(+ (pow (+ (+ d3 5.0) 32.0) 3) (pow d2 3))
380.0ms
(* d1 (+ (pow (+ (+ d3 5.0) 32.0) 3) (pow d2 3)))
216.0ms
(/ (* d1 (+ (pow (+ (+ d3 5.0) 32.0) 3) (pow d2 3))) (+ (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) d2))))

series538.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (* d2 d2) (* (+ (+ d3 5.0) 32.0) d2))
87.0ms
(+ (pow (+ (+ d3 5.0) 32.0) 3) (pow d2 3))
182.0ms
(* d1 (+ (pow (+ (+ d3 5.0) 32.0) 3) (pow d2 3)))
230.0ms
(/ (* d1 (+ (pow (+ (+ d3 5.0) 32.0) 3) (pow d2 3))) (+ (* (+ (+ d3 5.0) 32.0) (+ (+ d3 5.0) 32.0)) (- (* d2 d2) (* (+ (+ d3 5.0) 32.0) d2))))

simplify1.2s

Counts
127 → 127
Iterations

Useful iterations: 2 (336.0ms)

IterNodesCost
02494097
17873629
237883311
done50003311

prune419.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes79.0ms

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
099
1139
done139

end0.0ms

sample526.0ms

Algorithm
intervals
Results
296.0ms10015×body80valid
2.0ms22×body640valid
1.0ms8×body1280valid
1.0ms11×body320valid
0.0ms2×body160valid