Details

Time bar (total: 20.5s)

sample66.0ms

Algorithm
intervals
Results
32.0ms385×body80valid

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 3 (40.0ms)

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)))

rewrite229.0ms

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:
74.0ms
(+ (- d4 d1) (- d2 d3))
151.0ms
(* d1 (+ (- d4 d1) (- d2 d3)))

series141.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(+ (- d4 d1) (- d2 d3))
87.0ms
(* d1 (+ (- d4 d1) (- d2 d3)))

simplify936.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (263.0ms)

IterNodesCost
0120894
1380839
21397787
done5000787

prune189.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite571.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
9×associate-*r*
8×distribute-lft-out
5×add-sqr-sqrt
4×distribute-lft-out--
3×pow1 add-exp-log add-cube-cbrt distribute-rgt-neg-in associate-*l* add-cbrt-cube
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 → 28
Calls
1 calls:
569.0ms
(* d1 (+ (- (+ d4 d2) d1) (- d3)))

series90.0ms

Counts
1 → 3
Calls
1 calls:
90.0ms
(* d1 (+ (- (+ d4 d2) d1) (- d3)))

simplify2.5s

Counts
31 → 31
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
057361
1168315
2599274
33822272
done5000272

prune59.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite285.0ms

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:
34.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
17.0ms
(- (* d1 d2) (* d1 d3))
233.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

series159.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))
40.0ms
(- (* d1 d2) (* d1 d3))
75.0ms
(- (+ (- (* d1 d2) (* d1 d3)) (* d4 d1)) (* d1 d1))

simplify2.7s

Counts
54 → 54
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
088867
1255659
2942547
34686527
done5001527

prune154.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (sqrt (* d1 (+ d4 (- d2 d3)))) d1)
0.2b
(* (+ (sqrt (* d1 (+ d4 (- d2 d3)))) d1) (- (sqrt (* d1 (+ d4 (- d2 d3)))) d1))
0.8b
(sqrt (* d1 (+ d4 (- d2 d3))))
0.8b
(sqrt (* d1 (+ d4 (- d2 d3))))

rewrite316.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×pow1 *-un-lft-identity
6×add-exp-log add-cube-cbrt flip3-+ associate-*r/ associate-*r* add-cbrt-cube flip-+ add-log-exp
5×associate-*l* sqrt-prod
4×frac-times sqrt-pow1 sqrt-div distribute-lft-out
3×flip3-- pow-prod-down flip--
2×distribute-rgt-in sub-neg distribute-lft-in pow1/2 associate-*l/ distribute-lft-out--
1×+-commutative prod-exp sum-log *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 74
Calls
4 calls:
24.0ms
(+ (sqrt (* d1 (+ d4 (- d2 d3)))) d1)
230.0ms
(* (+ (sqrt (* d1 (+ d4 (- d2 d3)))) d1) (- (sqrt (* d1 (+ d4 (- d2 d3)))) d1))
33.0ms
(sqrt (* d1 (+ d4 (- d2 d3))))
27.0ms
(sqrt (* d1 (+ d4 (- d2 d3))))

series5.4s

Counts
4 → 12
Calls
4 calls:
329.0ms
(+ (sqrt (* d1 (+ d4 (- d2 d3)))) d1)
4.5s
(* (+ (sqrt (* d1 (+ d4 (- d2 d3)))) d1) (- (sqrt (* d1 (+ d4 (- d2 d3)))) d1))
291.0ms
(sqrt (* d1 (+ d4 (- d2 d3))))
266.0ms
(sqrt (* d1 (+ d4 (- d2 d3))))

simplify1.0s

Counts
86 → 86
Iterations

Useful iterations: 2 (327.0ms)

IterNodesCost
01532020
14251660
217031478
done50001478

prune264.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes120.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
11210
done1210

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.1s11953×body80valid