Details

Time bar (total: 8.4s)

sample20.0ms

Algorithm
intervals
Results
7.0ms300×body80valid
1.0ms7×body640valid
0.0ms7×body320valid
0.0ms4×body1280valid
0.0ms4×body160valid

simplify30.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0911
1189
2347
3517
4597
done597

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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:
28.0ms
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
8.0ms
(+ (* d1 3.0) (* d1 d2))

series86.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
46.0ms
(+ (* d1 3.0) (* d1 d2))

simplify1.6s

Counts
32 → 32
Iterations

Useful iterations: 3 (612.0ms)

IterNodesCost
056445
1187343
2758289
33347285
done5000285

prune63.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite73.0ms

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:
72.0ms
(* d1 (+ (+ 3.0 d2) d3))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(* d1 (+ (+ 3.0 d2) d3))

simplify1.2s

Counts
27 → 27
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
051265
1150252
2539218
32806218
done5000218

prune46.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3.0 d2) (+ 3.0 d2))
2.2b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
7.9b
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
13.4b
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite191.0ms

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:
32.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
20.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
66.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
69.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series253.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
38.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
87.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
108.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify1.0s

Counts
127 → 127
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01922163
15272009
220271729
done50011507

prune267.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.8b
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
1.7b
(- (* d3 d3) (* (+ 3.0 d2) d3))
4.5b
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
25.4b
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

rewrite377.0ms

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:
61.0ms
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
8.0ms
(- (* d3 d3) (* (+ 3.0 d2) d3))
179.0ms
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
124.0ms
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

series688.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
30.0ms
(- (* d3 d3) (* (+ 3.0 d2) d3))
366.0ms
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
223.0ms
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

simplify1.4s

Counts
119 → 119
Iterations

Useful iterations: 2 (475.0ms)

IterNodesCost
02443257
18112849
235702579
done50002579

prune343.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11411
done1411

end0.0ms

sample537.0ms

Algorithm
intervals
Results
228.0ms9550×body80valid
17.0ms201×body640valid
11.0ms103×body1280valid
8.0ms131×body320valid
4.0ms88×body160valid