Details

Time bar (total: 9.4s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1117
2147
3167
done167

prune1.0ms

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))

rewrite32.0ms

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:
30.0ms
(/ (- x y) (+ x y))

series84.0ms

Counts
1 → 3
Calls
1 calls:
83.0ms
(/ (- x y) (+ x y))

simplify477.0ms

Counts
51 → 51
Iterations

Useful iterations: 2 (132.0ms)

IterNodesCost
080616
1198588
2763560
done5000560

prune99.0ms

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

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
581×*-un-lft-identity
484×times-frac
331×add-sqr-sqrt
324×prod-diff
319×add-cube-cbrt
123×distribute-lft-out
82×associate-/r/
41×flip3-+ flip-+ div-inv
18×fma-neg
8×associate-/r*
7×add-exp-log add-cbrt-cube distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×difference-of-squares
3×pow1 expm1-log1p-u distribute-rgt-out-- log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 442
Calls
3 calls:
15.0ms
(/ y (+ x y))
16.0ms
(/ x (+ x y))
135.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series174.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ y (+ x y))
41.0ms
(/ x (+ x y))
80.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify1.8s

Counts
451 → 451
Iterations

Useful iterations: 2 (561.0ms)

IterNodesCost
042220371
197517929
2333713801
done500013801

prune844.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
0.0b
(/ x (+ x y))
2.3b
(log (exp (/ x (+ x y))))

rewrite397.0ms

Algorithm
rewrite-expression-head
Rules
650×*-un-lft-identity
529×times-frac
396×prod-diff
384×add-sqr-sqrt
381×log-pow
379×add-cube-cbrt
360×exp-prod
134×distribute-lft-out
88×associate-/r/
44×flip3-+ flip-+ div-inv
25×pow1
22×fma-neg
8×add-exp-log associate-/r* add-cbrt-cube
6×log-prod associate-/l*
5×add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate--l+
2×cbrt-undiv frac-2neg div-exp clear-num distribute-lft-out-- difference-of-squares
1×sub-neg flip3-- diff-log rem-log-exp flip--
Counts
4 → 541
Calls
4 calls:
18.0ms
(/ y (+ x y))
271.0ms
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
11.0ms
(/ x (+ x y))
22.0ms
(log (exp (/ x (+ x y))))

series250.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ y (+ x y))
91.0ms
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
47.0ms
(/ x (+ x y))
65.0ms
(log (exp (/ x (+ x y))))

simplify2.0s

Counts
553 → 553
Iterations

Useful iterations: 2 (726.0ms)

IterNodesCost
050525588
1110621639
2365316163
done500016163

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
61×add-sqr-sqrt
60×times-frac
52×exp-prod
35×add-cube-cbrt
27×log-pow
16×distribute-lft-out
13×distribute-lft-out-- difference-of-squares
6×associate-/r/
5×add-exp-log add-cbrt-cube associate-/l*
4×pow1 associate-/r* add-log-exp
3×expm1-log1p-u log-prod flip3-+ div-sub flip-+ log1p-expm1-u div-inv
2×exp-diff associate-/l/
1×cbrt-undiv log-div flip3-- frac-2neg div-exp rem-log-exp clear-num flip-- rem-exp-log
Counts
3 → 126
Calls
3 calls:
43.0ms
(log (exp (/ (- x y) (+ x y))))
52.0ms
(exp (/ (- x y) (+ x y)))
34.0ms
(/ (- x y) (+ x y))

series296.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(log (exp (/ (- x y) (+ x y))))
121.0ms
(exp (/ (- x y) (+ x y)))
100.0ms
(/ (- x y) (+ x y))

simplify501.0ms

Counts
135 → 135
Iterations

Useful iterations: done (498.0ms)

IterNodesCost
01441477
12801316
29131253
done50001251

prune320.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes52.0ms

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
0813
1913
done913

end0.0ms

sample582.0ms

Algorithm
intervals
Results
253.0ms8000×body80valid