Details

Time bar (total: 12.1s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
187
297
done97

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x y) (- x y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 47
Calls
1 calls:
11.0ms
(/ (+ x y) (- x y))

series69.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(/ (+ x y) (- x y))

simplify2.5s

Counts
50 → 50
Iterations

Useful iterations: 3 (230.0ms)

IterNodesCost
078606
1175582
2430554
31090547
42903547
done5000547

prune94.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x y) (- x y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 47
Calls
1 calls:
12.0ms
(/ (+ x y) (- x y))

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(/ (+ x y) (- x y))

simplify2.4s

Counts
50 → 50
Iterations

Useful iterations: 3 (224.0ms)

IterNodesCost
078606
1175582
2430554
31090547
42903547
done5000547

prune91.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
16×*-un-lft-identity
14×add-sqr-sqrt
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- flip-- distribute-lft-out-- difference-of-squares
1×flip3-+ flip-+ distribute-lft-out
Counts
4 → 67
Calls
4 calls:
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))
2.0ms
(cbrt (- x y))

series778.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(cbrt (+ x y))
343.0ms
(cbrt (- x y))
155.0ms
(cbrt (- x y))
153.0ms
(cbrt (- x y))

simplify2.3s

Counts
79 → 79
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
0106759
1232730
2536698
31326652
44349610
done5000610

prune244.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(expm1 (log1p (/ (+ x y) (- x y))))
0.0b
(/ (+ x y) (- x y))
3.0b
(log1p (/ (+ x y) (- x y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
24×add-sqr-sqrt
20×times-frac
14×add-cube-cbrt
6×distribute-lft-out
5×add-exp-log associate-/r* add-cbrt-cube distribute-lft-out-- difference-of-squares
4×expm1-log1p-u associate-/l*
3×pow1 log1p-expm1-u add-log-exp
2×associate-/r/ associate-/l/
1×cbrt-undiv log1p-udef expm1-log1p flip3-- frac-2neg flip3-+ log1p-expm1 div-exp clear-num flip-- flip-+ div-inv expm1-udef
Counts
3 → 69
Calls
3 calls:
0.0ms
(expm1 (log1p (/ (+ x y) (- x y))))
13.0ms
(/ (+ x y) (- x y))
0.0ms
(log1p (/ (+ x y) (- x y)))

series335.0ms

Counts
3 → 9
Calls
3 calls:
175.0ms
(expm1 (log1p (/ (+ x y) (- x y))))
64.0ms
(/ (+ x y) (- x y))
96.0ms
(log1p (/ (+ x y) (- x y)))

simplify2.5s

Counts
78 → 78
Iterations

Useful iterations: 3 (290.0ms)

IterNodesCost
0107877
1217825
2489767
31166757
43004757
done5000757

prune177.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes61.0ms

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: 1 (1.0ms)

IterNodesCost
079
1117
done117

end0.0ms

sample280.0ms

Algorithm
intervals
Results
152.0ms8000×body80valid