Details

Time bar (total: 13.1s)

sample50.0ms

Algorithm
intervals
Results
19.0ms303×body80valid
2.0ms6×body1280valid
2.0ms7×body640valid
1.0ms7×body320valid
0.0ms3×body160valid

simplify80.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0911
1189
2347
3517
4597
done597

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite97.0ms

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:
96.0ms
(* d1 (+ (+ 3.0 d2) d3))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* d1 (+ (+ 3.0 d2) d3))

simplify2.0s

Counts
27 → 27
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
051265
1150252
2539218
32806218
done5000218

prune111.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (+ (+ 3.0 d2) d3))
0.4b
(cbrt (+ (+ 3.0 d2) d3))
0.4b
(cbrt (+ (+ 3.0 d2) d3))
0.4b
(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))

rewrite294.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
51×cbrt-prod
33×distribute-lft-out
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
14×swap-sqr
11×pow1
9×flip3-+ pow1/3 flip-+
8×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 105
Calls
4 calls:
23.0ms
(cbrt (+ (+ 3.0 d2) d3))
18.0ms
(cbrt (+ (+ 3.0 d2) d3))
24.0ms
(cbrt (+ (+ 3.0 d2) d3))
224.0ms
(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))

series580.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(cbrt (+ (+ 3.0 d2) d3))
135.0ms
(cbrt (+ (+ 3.0 d2) d3))
155.0ms
(cbrt (+ (+ 3.0 d2) d3))
137.0ms
(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))

simplify1.4s

Counts
117 → 117
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01361979
13071812
27901714
320241492
done50001461

prune421.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (+ (+ 3.0 d2) d3))
0.4b
(cbrt (+ (+ 3.0 d2) d3))
0.4b
(cbrt (+ (+ 3.0 d2) d3))
0.4b
(* (cbrt (+ (+ 3.0 d2) d3)) (* (* (cbrt (cbrt (+ (+ 3.0 d2) d3))) (cbrt (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (cbrt (+ (+ 3.0 d2) d3)))))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
384×cbrt-div
136×frac-times
111×flip3-+ flip-+
50×associate-*r/
44×associate-*l/
29×*-un-lft-identity
20×cbrt-prod
15×pow1
13×add-exp-log pow1/3
12×distribute-lft-out
10×add-cube-cbrt
9×add-sqr-sqrt pow-prod-down
8×associate-*l*
6×prod-exp add-cbrt-cube cbrt-unprod
5×pow-prod-up
4×add-log-exp
1×swap-sqr associate-*r* pow-sqr *-commutative
Counts
4 → 155
Calls
4 calls:
35.0ms
(cbrt (+ (+ 3.0 d2) d3))
36.0ms
(cbrt (+ (+ 3.0 d2) d3))
30.0ms
(cbrt (+ (+ 3.0 d2) d3))
993.0ms
(* (cbrt (+ (+ 3.0 d2) d3)) (* (* (cbrt (cbrt (+ (+ 3.0 d2) d3))) (cbrt (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (cbrt (+ (+ 3.0 d2) d3)))))

series651.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt (+ (+ 3.0 d2) d3))
151.0ms
(cbrt (+ (+ 3.0 d2) d3))
146.0ms
(cbrt (+ (+ 3.0 d2) d3))
165.0ms
(* (cbrt (+ (+ 3.0 d2) d3)) (* (* (cbrt (cbrt (+ (+ 3.0 d2) d3))) (cbrt (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (cbrt (+ (+ 3.0 d2) d3)))))

simplify2.3s

Counts
167 → 167
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02907478
17057245
215496449
331205889
done50004992

prune874.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

2.3b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
8.2b
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
15.2b
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite202.0ms

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:
26.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
79.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
94.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series314.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
118.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
142.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify856.0ms

Counts
84 → 84
Iterations

Useful iterations: done (852.0ms)

IterNodesCost
01471659
13901596
213771342
done50011192

prune271.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes116.0ms

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
077
1107
done107

end0.0ms

sample1.2s

Algorithm
intervals
Results
666.0ms9646×body80valid
35.0ms208×body640valid
18.0ms140×body320valid
16.0ms71×body1280valid
8.0ms94×body160valid