Details

Time bar (total: 14.0s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1117
2147
3167
done167

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

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-/l* distribute-lft-out-- difference-of-squares
4×associate-/r*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 48
Calls
1 calls:
32.0ms
(/ (- x y) (+ x y))

series78.0ms

Counts
1 → 3
Calls
1 calls:
78.0ms
(/ (- x y) (+ x y))

simplify3.0s

Counts
51 → 51
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
080616
1193588
2481560
31190560
43366553
done5002553

prune101.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(log1p (expm1 (/ (- x y) (+ x y))))
0.0b
(/ (- x y) (+ x y))
0.5b
(expm1 (/ (- x y) (+ x y)))

rewrite46.0ms

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 add-cbrt-cube associate-/l* distribute-lft-out-- difference-of-squares
4×associate-/r* log1p-expm1-u
3×pow1 expm1-log1p-u add-log-exp
2×associate-/r/ associate-/l/
1×cbrt-undiv log1p-udef expm1-log1p flip3-- frac-2neg flip3-+ div-sub log1p-expm1 div-exp clear-num flip-- flip-+ div-inv expm1-udef
Counts
3 → 70
Calls
3 calls:
0.0ms
(log1p (expm1 (/ (- x y) (+ x y))))
41.0ms
(/ (- x y) (+ x y))
1.0ms
(expm1 (/ (- x y) (+ x y)))

series325.0ms

Counts
3 → 9
Calls
3 calls:
106.0ms
(log1p (expm1 (/ (- x y) (+ x y))))
76.0ms
(/ (- x y) (+ x y))
143.0ms
(expm1 (/ (- x y) (+ x y)))

simplify2.3s

Counts
79 → 79
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
0103875
1223819
2519761
31230761
43406754
done5002754

prune175.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
131×*-un-lft-identity
85×add-sqr-sqrt
80×times-frac
47×add-cube-cbrt
26×cbrt-prod
23×distribute-lft-out
19×distribute-lft-out-- difference-of-squares
15×associate-/l*
12×associate-/r*
10×add-exp-log add-cbrt-cube
8×associate-/r/
6×associate-/l/
4×pow1 expm1-log1p-u flip3-+ flip-+ log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip--
1×cbrt-div pow1/3
Counts
4 → 181
Calls
4 calls:
10.0ms
(cbrt (/ (- x y) (+ x y)))
27.0ms
(/ (- x y) (+ x y))
25.0ms
(/ (- x y) (+ x y))
29.0ms
(/ (- x y) (+ x y))

series520.0ms

Counts
4 → 12
Calls
4 calls:
309.0ms
(cbrt (/ (- x y) (+ x y)))
72.0ms
(/ (- x y) (+ x y))
68.0ms
(/ (- x y) (+ x y))
72.0ms
(/ (- x y) (+ x y))

simplify2.8s

Counts
193 → 193
Iterations

Useful iterations: 4 (1.7s)

IterNodesCost
01232460
12492346
25632244
313122238
438592214
done50002214

prune524.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x y) (+ x y))
0.0b
(/ (- x y) (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (- x y))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
76×*-un-lft-identity
50×add-sqr-sqrt
40×times-frac
28×add-cube-cbrt
13×distribute-lft-out
11×distribute-lft-out-- difference-of-squares
10×associate-/l*
9×cbrt-prod
8×add-exp-log associate-/r* add-cbrt-cube
4×pow1 expm1-log1p-u cbrt-div associate-/r/ log1p-expm1-u associate-/l/ add-log-exp
3×flip3-- flip3-+ flip-- flip-+
2×cbrt-undiv frac-2neg pow1/3 div-sub div-exp clear-num div-inv
Counts
4 → 129
Calls
4 calls:
44.0ms
(/ (- x y) (+ x y))
38.0ms
(/ (- x y) (+ x y))
6.0ms
(cbrt (+ x y))
7.0ms
(cbrt (- x y))

series563.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(/ (- x y) (+ x y))
100.0ms
(/ (- x y) (+ x y))
184.0ms
(cbrt (+ x y))
197.0ms
(cbrt (- x y))

simplify2.1s

Counts
141 → 141
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01601599
13661526
28941454
322021434
done50001404

prune531.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes62.0ms

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
079
189
done89

end0.0ms

sample527.0ms

Algorithm
intervals
Results
313.0ms8000×body80valid