Details

Time bar (total: 14.3s)

sample48.0ms

Algorithm
intervals
Results
22.0ms385×body80valid

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 3 (81.0ms)

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite234.0ms

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:
38.0ms
(+ (- d4 d1) (- d2 d3))
193.0ms
(* d1 (+ (- d4 d1) (- d2 d3)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ (- d4 d1) (- d2 d3))
56.0ms
(* d1 (+ (- d4 d1) (- d2 d3)))

simplify845.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (303.0ms)

IterNodesCost
0120894
1380839
21397787
done5000787

prune160.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite476.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
8×associate--l+
7×add-sqr-sqrt associate-*r*
5×distribute-rgt-in distribute-lft-in distribute-lft-out--
4×sub-neg
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
2×associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out add-log-exp difference-of-squares unswap-sqr
Counts
1 → 34
Calls
1 calls:
474.0ms
(* d1 (- (- (+ d4 d2) d1) d3))

series74.0ms

Counts
1 → 3
Calls
1 calls:
74.0ms
(* d1 (- (- (+ d4 d2) d1) d3))

simplify1.1s

Counts
37 → 37
Iterations

Useful iterations: 2 (106.0ms)

IterNodesCost
072423
1153408
2392366
31905366
done5000366

prune67.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity
12×associate-*r/
10×associate-*r*
7×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
6×distribute-rgt-in distribute-lft-in associate-*l*
5×add-log-exp
4×sub-neg associate-+r+ flip3-+ frac-add flip-+
3×flip3-- flip--
2×associate-+l+ pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative distribute-rgt-neg-in sum-log difference-of-squares
Counts
3 → 72
Calls
3 calls:
23.0ms
(* d1 (+ d4 d2))
65.0ms
(* d1 (- (- d1) d3))
28.0ms
(+ (* d1 (+ d4 d2)) (* d1 (- (- d1) d3)))

series167.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(* d1 (+ d4 d2))
42.0ms
(* d1 (- (- d1) d3))
94.0ms
(+ (* d1 (+ d4 d2)) (* d1 (- (- d1) d3)))

simplify1.1s

Counts
81 → 81
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01401006
1431881
21671803
done5001801

prune244.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- d4 d1) (- d2 d3))
0.0b
(+ (- d4 d1) (- d2 d3))
0.0b
(* d1 (* (sqrt (+ (- d4 d1) (- d2 d3))) (sqrt (+ (- d4 d1) (- d2 d3)))))
0.2b
(* (sqrt (+ (- d4 d1) (- d2 d3))) (sqrt (+ (- d4 d1) (- d2 d3))))

rewrite689.0ms

Algorithm
rewrite-expression-head
Rules
189×*-un-lft-identity
168×sqrt-div
120×flip3-- frac-add flip--
74×sqrt-prod
72×frac-times
60×associate-*r/
56×distribute-lft-out distribute-lft-out--
32×swap-sqr
30×flip3-+ flip-+
28×add-log-exp
26×add-sqr-sqrt
24×pow1
13×add-cube-cbrt associate-*l*
12×associate-*l/
11×add-exp-log associate-*r* add-cbrt-cube
8×sqrt-pow1 pow1/2 diff-log sum-log
6×pow-prod-down
5×pow-prod-up unswap-sqr
4×sub-neg associate-+l+ associate-+r+ prod-exp cbrt-unprod
3×pow-sqr
2×+-commutative associate-+l- associate-+r- *-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 252
Calls
4 calls:
50.0ms
(+ (- d4 d1) (- d2 d3))
51.0ms
(+ (- d4 d1) (- d2 d3))
260.0ms
(* d1 (* (sqrt (+ (- d4 d1) (- d2 d3))) (sqrt (+ (- d4 d1) (- d2 d3)))))
301.0ms
(* (sqrt (+ (- d4 d1) (- d2 d3))) (sqrt (+ (- d4 d1) (- d2 d3))))

series228.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(+ (- d4 d1) (- d2 d3))
61.0ms
(+ (- d4 d1) (- d2 d3))
66.0ms
(* d1 (* (sqrt (+ (- d4 d1) (- d2 d3))) (sqrt (+ (- d4 d1) (- d2 d3)))))
50.0ms
(* (sqrt (+ (- d4 d1) (- d2 d3))) (sqrt (+ (- d4 d1) (- d2 d3))))

simplify1.5s

Counts
264 → 264
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02969017
16217100
219586938
done50026911

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes95.0ms

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
089
1109
done109

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.4s11953×body80valid