Details

Time bar (total: 14.2s)

sample52.0ms

Algorithm
intervals
Results
27.0ms379×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
01115
12513
26911
31939
45869
530979
done50019

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
0.0b
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

rewrite304.0ms

Algorithm
rewrite-expression-head
Rules
16×add-log-exp
5×diff-log
4×sum-log
3×add-sqr-sqrt
2×pow1 add-exp-log add-cube-cbrt associate-+l- sub-neg associate-+l+ *-un-lft-identity add-cbrt-cube
1×+-commutative associate--l- flip3-- flip3-+ associate--l+ flip-- flip-+ difference-of-squares
Counts
2 → 32
Calls
2 calls:
42.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
260.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

series148.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
87.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

simplify798.0ms

Counts
38 → 38
Iterations

Useful iterations: 2 (197.0ms)

IterNodesCost
072690
1215563
21253445
done5000445

prune101.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* d1 (- d4 d1))
0.0b
(+ (- (* d1 d2) (* d1 d3)) (* d1 (- d4 d1)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
7×add-log-exp
6×*-un-lft-identity associate-*r/
5×sub-neg flip3-- associate-*r* flip--
4×pow1 add-exp-log distribute-rgt-in add-cube-cbrt associate-+r+ distribute-lft-in frac-add add-cbrt-cube
3×associate-*l*
2×associate-+l+ sum-log distribute-lft-out--
1×+-commutative associate-+l- flip3-+ diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out difference-of-squares unswap-sqr
Counts
2 → 50
Calls
2 calls:
40.0ms
(* d1 (- d4 d1))
39.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d1 (- d4 d1)))

series114.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* d1 (- d4 d1))
73.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d1 (- d4 d1)))

simplify1.6s

Counts
56 → 56
Iterations

Useful iterations: 2 (360.0ms)

IterNodesCost
0118879
1396753
22025705
done5000705

prune178.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt d1) (cbrt d1))
0.6b
(cbrt d1)
0.6b
(cbrt d1)
0.6b
(cbrt d1)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
12.0ms
(* (cbrt d1) (cbrt d1))
1.0ms
(cbrt d1)
1.0ms
(cbrt d1)
1.0ms
(cbrt d1)

series1.2s

Counts
4 → 12
Calls
4 calls:
309.0ms
(* (cbrt d1) (cbrt d1))
295.0ms
(cbrt d1)
269.0ms
(cbrt d1)
358.0ms
(cbrt d1)

simplify1.3s

Counts
85 → 85
Iterations

Useful iterations: done (1.2s)

IterNodesCost
061524
1139417
2735397
done5001383

prune290.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* d1 d1) (* d4 d1))
0.5b
(- (pow d4 3) (pow d1 3))
3.6b
(* d1 (- (pow d4 3) (pow d1 3)))
32.5b
(/ (* d1 (- (pow d4 3) (pow d1 3))) (+ (* d4 d4) (+ (* d1 d1) (* d4 d1))))

rewrite262.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
32×difference-of-squares
28×*-un-lft-identity
25×associate-*r*
24×unpow-prod-down cube-prod
16×sqr-pow
11×add-exp-log add-cbrt-cube
10×distribute-lft-out--
8×add-cube-cbrt add-log-exp
6×pow1
4×associate-*r/
3×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×difference-cubes cbrt-undiv distribute-rgt-in distribute-lft-in flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l/
1×+-commutative distribute-rgt-out frac-2neg diff-log pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 117
Calls
4 calls:
9.0ms
(+ (* d1 d1) (* d4 d1))
45.0ms
(- (pow d4 3) (pow d1 3))
117.0ms
(* d1 (- (pow d4 3) (pow d1 3)))
87.0ms
(/ (* d1 (- (pow d4 3) (pow d1 3))) (+ (* d4 d4) (+ (* d1 d1) (* d4 d1))))

series377.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(+ (* d1 d1) (* d4 d1))
82.0ms
(- (pow d4 3) (pow d1 3))
93.0ms
(* d1 (- (pow d4 3) (pow d1 3)))
154.0ms
(/ (* d1 (- (pow d4 3) (pow d1 3))) (+ (* d4 d4) (+ (* d1 d1) (* d4 d1))))

simplify2.7s

Counts
129 → 129
Iterations

Useful iterations: 2 (905.0ms)

IterNodesCost
01692017
15571781
232201595
done50001595

prune567.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes108.0ms

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
01013
11413
done1413

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.0s11929×body80valid