Details

Time bar (total: 10.6s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done16
316
214
111
05

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

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-cbrt-cube add-exp-log
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-sub div-exp flip-+ div-inv flip-- add-log-exp
Counts
1 → 46
Calls
1 calls:
22.0ms
(/ (- x y) (+ x y))

series85.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(/ (- x y) (+ x y))

simplify1.5s

Counts
49 → 49
Iterations
IterNodes
done5032
32487
2564
1193
078

prune163.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
40×times-frac
35×add-sqr-sqrt
23×add-cube-cbrt
12×distribute-lft-out
8×associate-/r* associate-/r/
7×add-cbrt-cube add-exp-log distribute-lft-out--
6×associate-/l*
5×add-log-exp
4×flip3-+ flip-+ div-inv difference-of-squares
3×pow1 distribute-rgt-out--
2×cbrt-undiv clear-num frac-2neg div-exp
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 94
Calls
3 calls:
11.0ms
(/ x (+ x y))
8.0ms
(/ y (+ x y))
91.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

series191.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ x (+ x y))
45.0ms
(/ y (+ x y))
102.0ms
(- (/ x (+ x y)) (/ y (+ x y)))

simplify1.3s

Counts
103 → 103
Iterations
IterNodes
done5005
33771
2912
1287
0130

prune333.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ x y))
0.0b
(exp (/ x (+ x y)))
0.0b
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
3.3b
(log (exp (/ x (+ x y))))

rewrite244.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
37×times-frac
36×add-sqr-sqrt exp-prod
31×add-cube-cbrt
20×log-pow
10×distribute-lft-out
6×pow1 log-prod add-cbrt-cube add-exp-log associate-/r/ add-log-exp
4×associate-/r*
3×flip3-+ associate--l+ flip-+ div-inv associate-/l*
2×distribute-lft-out-- difference-of-squares
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-- diff-log div-exp rem-log-exp flip-- rem-exp-log
Counts
4 → 108
Calls
4 calls:
16.0ms
(/ y (+ x y))
23.0ms
(exp (/ x (+ x y)))
173.0ms
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
26.0ms
(log (exp (/ x (+ x y))))

series282.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(/ y (+ x y))
73.0ms
(exp (/ x (+ x y)))
95.0ms
(- (log (exp (/ x (+ x y)))) (/ y (+ x y)))
56.0ms
(log (exp (/ x (+ x y))))

simplify1.4s

Counts
120 → 120
Iterations
IterNodes
done5070
32725
2731
1278
0149

prune532.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log (cbrt (* (* (exp (/ x (+ x y))) (exp (/ x (+ x y)))) (exp (/ x (+ x y)))))) (/ y (+ x y)))
0.0b
(cbrt (* (* (exp (/ x (+ x y))) (exp (/ x (+ x y)))) (exp (/ x (+ x y)))))
0.5b
(* (exp (/ x (+ x y))) (exp (/ x (+ x y))))
3.3b
(log (cbrt (* (* (exp (/ x (+ x y))) (exp (/ x (+ x y)))) (exp (/ x (+ x y))))))

rewrite941.0ms

Algorithm
rewrite-expression-head
Rules
177×*-un-lft-identity
152×exp-prod
113×times-frac
77×add-sqr-sqrt
70×add-cube-cbrt
38×distribute-lft-out
29×pow-prod-down
25×pow-sqr pow-prod-up
13×pow1
12×associate-/r/
8×log-prod
6×flip3-+ add-cbrt-cube flip-+ div-inv
5×add-exp-log add-log-exp
4×associate--l+
3×cbrt-prod swap-sqr associate-*r* associate-*l* log-pow
2×pow1/3 distribute-lft-out-- difference-of-squares
1×pow2 sub-neg pow-plus flip3-- diff-log rem-log-exp pow3 prod-exp *-commutative rem-cbrt-cube cbrt-unprod flip-- unswap-sqr
Counts
4 → 145
Calls
4 calls:
27.0ms
(- (log (cbrt (* (* (exp (/ x (+ x y))) (exp (/ x (+ x y)))) (exp (/ x (+ x y)))))) (/ y (+ x y)))
676.0ms
(cbrt (* (* (exp (/ x (+ x y))) (exp (/ x (+ x y)))) (exp (/ x (+ x y)))))
208.0ms
(* (exp (/ x (+ x y))) (exp (/ x (+ x y))))
21.0ms
(log (cbrt (* (* (exp (/ x (+ x y))) (exp (/ x (+ x y)))) (exp (/ x (+ x y))))))

series363.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(- (log (cbrt (* (* (exp (/ x (+ x y))) (exp (/ x (+ x y)))) (exp (/ x (+ x y)))))) (/ y (+ x y)))
86.0ms
(cbrt (* (* (exp (/ x (+ x y))) (exp (/ x (+ x y)))) (exp (/ x (+ x y)))))
116.0ms
(* (exp (/ x (+ x y))) (exp (/ x (+ x y))))
47.0ms
(log (cbrt (* (* (exp (/ x (+ x y))) (exp (/ x (+ x y)))) (exp (/ x (+ x y))))))

simplify1.7s

Counts
157 → 157
Iterations
IterNodes
done5000
32060
2817
1381
0186

prune666.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample478.0ms

Algorithm
intervals
Results
285.0ms8000×body80valid