Details

Time bar (total: 14.6s)

sample54.0ms

Algorithm
intervals
Results
26.0ms320×body80valid
1.0ms7×body640valid
1.0ms9×body320valid
1.0ms3×body1280valid
0.0ms2×body160valid

simplify79.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0911
1189
2347
3527
4677
5727
6777
done777

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
0.0b
(+ (* d1 3.0) (* d1 d2))

rewrite73.0ms

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:
56.0ms
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
16.0ms
(+ (* d1 3.0) (* d1 d2))

series133.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
71.0ms
(+ (* d1 3.0) (* d1 d2))

simplify970.0ms

Counts
32 → 32
Iterations

Useful iterations: done (969.0ms)

IterNodesCost
056445
1188343
21030289
done5001285

prune168.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ (+ 3.0 d2) d3))

rewrite135.0ms

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:
133.0ms
(* d1 (+ (+ 3.0 d2) d3))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(* d1 (+ (+ 3.0 d2) d3))

simplify785.0ms

Counts
27 → 27
Iterations

Useful iterations: done (783.0ms)

IterNodesCost
051265
1166252
2726220
done5001218

prune128.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

4.0b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
6.2b
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
16.9b
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite306.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
13×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
7×distribute-rgt-in add-cube-cbrt distribute-lft-in
6×times-frac associate--l+ associate-/r*
5×pow1 add-log-exp
4×flip3-- associate-*r/ associate-*r* flip-- distribute-lft-out-- difference-of-squares
3×sub-neg associate-*l*
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out
1×frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 75
Calls
3 calls:
34.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
122.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
144.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series380.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
146.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
170.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify1.7s

Counts
84 → 84
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01471659
14381600
224281350
done50011348

prune564.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

2.7b
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
3.0b
(- (* d3 d3) (* (+ 3.0 d2) d3))
4.7b
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
26.9b
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

rewrite795.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
26×distribute-lft-out
18×associate-/r/
16×unpow-prod-down flip3-+ cube-prod frac-add flip-+
13×associate-*r*
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 → 107
Calls
4 calls:
135.0ms
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
17.0ms
(- (* d3 d3) (* (+ 3.0 d2) d3))
372.0ms
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
261.0ms
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

series872.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
52.0ms
(- (* d3 d3) (* (+ 3.0 d2) d3))
302.0ms
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
398.0ms
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

simplify4.2s

Counts
119 → 119
Iterations

Useful iterations: 2 (1.2s)

IterNodesCost
02443257
18472923
248202593
done50002593

prune994.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes343.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11411
done1411

end0.0ms

sample1.6s

Algorithm
intervals
Results
861.0ms9539×body80valid
49.0ms208×body640valid
28.0ms95×body1280valid
27.0ms153×body320valid
11.0ms94×body160valid