Details

Time bar (total: 22.3s)

sample49.0ms

Algorithm
intervals
Results
27.0ms386×body80valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 3 (43.0ms)

IterNodesCost
01115
12513
26911
31889
44109
56939
69469
712639
815109
915959
done15959

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite241.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
14×add-log-exp
8×flip3-- frac-add flip-- distribute-lft-out distribute-lft-out--
7×associate-*r*
6×add-sqr-sqrt associate-*r/
4×pow1 add-exp-log add-cube-cbrt diff-log sum-log add-cbrt-cube
3×associate-*l*
2×sub-neg associate-+l+ associate-+r+ flip3-+ flip-+
1×+-commutative distribute-rgt-in associate-+l- associate-+r- distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 58
Calls
2 calls:
55.0ms
(+ (- d4 d1) (- d2 d3))
184.0ms
(* d1 (+ (- d4 d1) (- d2 d3)))

series134.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(+ (- d4 d1) (- d2 d3))
80.0ms
(* d1 (+ (- d4 d1) (- d2 d3)))

simplify1.0s

Counts
64 → 64
Iterations

Useful iterations: 2 (356.0ms)

IterNodesCost
0120894
1380839
21397787
done5000787

prune269.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite344.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
6×diff-log
4×add-sqr-sqrt sum-log
3×pow1 add-exp-log add-cube-cbrt sub-neg *-un-lft-identity add-cbrt-cube
2×associate-+l- associate-+l+ flip3-- flip--
1×+-commutative associate--l- flip3-+ associate--l+ flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 45
Calls
3 calls:
262.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
16.0ms
(- (* d1 d2) (* d1 d3))
64.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series209.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))
54.0ms
(- (* d1 d2) (* d1 d3))
70.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify3.3s

Counts
54 → 54
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
088867
1255659
2941547
34670527
done5000527

prune222.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (- d4 d1) (- d2 d3))) (cbrt (+ (- d4 d1) (- d2 d3))))
0.5b
(cbrt (+ (- d4 d1) (- d2 d3)))
0.5b
(cbrt (+ (- d4 d1) (- d2 d3)))
0.5b
(cbrt (+ (- d4 d1) (- d2 d3)))

rewrite467.0ms

Algorithm
rewrite-expression-head
Rules
203×*-un-lft-identity
102×cbrt-div
93×cbrt-prod
68×flip3-- frac-add flip--
60×distribute-lft-out distribute-lft-out--
36×frac-times
30×swap-sqr
23×add-sqr-sqrt
17×flip3-+ flip-+
15×add-cube-cbrt
11×pow1
10×associate-*r* associate-*l*
9×pow1/3
6×add-exp-log 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 → 183
Calls
4 calls:
314.0ms
(* (cbrt (+ (- d4 d1) (- d2 d3))) (cbrt (+ (- d4 d1) (- d2 d3))))
50.0ms
(cbrt (+ (- d4 d1) (- d2 d3)))
32.0ms
(cbrt (+ (- d4 d1) (- d2 d3)))
55.0ms
(cbrt (+ (- d4 d1) (- d2 d3)))

series1.3s

Counts
4 → 12
Calls
4 calls:
304.0ms
(* (cbrt (+ (- d4 d1) (- d2 d3))) (cbrt (+ (- d4 d1) (- d2 d3))))
354.0ms
(cbrt (+ (- d4 d1) (- d2 d3)))
340.0ms
(cbrt (+ (- d4 d1) (- d2 d3)))
335.0ms
(cbrt (+ (- d4 d1) (- d2 d3)))

simplify1.5s

Counts
195 → 195
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02296504
14655959
213715845
done50005304

prune847.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* d1 (+ d4 (- d2 d3))) (* d1 (+ (+ d4 d1) (- d2 d3))))
1.6b
(+ (* (* d1 (+ d4 (- d2 d3))) (* d1 (+ (+ d4 d1) (- d2 d3)))) (pow d1 4))
3.1b
(- (pow (* d1 (+ d4 (- d2 d3))) 3) (pow d1 6))
37.3b
(/ (- (pow (* d1 (+ d4 (- d2 d3))) 3) (pow d1 6)) (+ (* (* d1 (+ d4 (- d2 d3))) (* d1 (+ (+ d4 d1) (- d2 d3)))) (pow d1 4)))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
38×associate-*r/
30×times-frac difference-of-squares
29×*-un-lft-identity
25×sqr-pow
19×add-cube-cbrt
18×add-exp-log flip3-+ add-cbrt-cube flip-+
16×pow1
12×frac-times frac-add
10×unpow-prod-down associate-/l*
8×distribute-rgt-in flip3-- distribute-lft-in pow-prod-down prod-exp flip-- cbrt-unprod add-log-exp
5×distribute-lft-out--
4×associate-+l+
3×associate-/r*
2×associate-*l/ associate-/r/ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp associate-*r* associate-*l* clear-num sum-log *-commutative div-inv
Counts
4 → 140
Calls
4 calls:
255.0ms
(* (* d1 (+ d4 (- d2 d3))) (* d1 (+ (+ d4 d1) (- d2 d3))))
231.0ms
(+ (* (* d1 (+ d4 (- d2 d3))) (* d1 (+ (+ d4 d1) (- d2 d3)))) (pow d1 4))
36.0ms
(- (pow (* d1 (+ d4 (- d2 d3))) 3) (pow d1 6))
523.0ms
(/ (- (pow (* d1 (+ d4 (- d2 d3))) 3) (pow d1 6)) (+ (* (* d1 (+ d4 (- d2 d3))) (* d1 (+ (+ d4 d1) (- d2 d3)))) (pow d1 4)))

series4.1s

Counts
4 → 12
Calls
4 calls:
381.0ms
(* (* d1 (+ d4 (- d2 d3))) (* d1 (+ (+ d4 d1) (- d2 d3))))
705.0ms
(+ (* (* d1 (+ d4 (- d2 d3))) (* d1 (+ (+ d4 d1) (- d2 d3)))) (pow d1 4))
1.9s
(- (pow (* d1 (+ d4 (- d2 d3))) 3) (pow d1 6))
1.1s
(/ (- (pow (* d1 (+ d4 (- d2 d3))) 3) (pow d1 6)) (+ (* (* d1 (+ d4 (- d2 d3))) (* d1 (+ (+ d4 d1) (- d2 d3)))) (pow d1 4)))

simplify827.0ms

Counts
152 → 152
Iterations

Useful iterations: done (815.0ms)

IterNodesCost
03406479
110706142
done50015774

prune1.1s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes142.0ms

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
089
1109
done109

end0.0ms

sample1.6s

Algorithm
intervals
Results
987.0ms12000×body80valid