Details

Time bar (total: 13.7s)

sample92.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
055
165
done65

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x y) 10.0)

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×distribute-lft-out associate-/l*
3×add-exp-log associate-/r* add-cbrt-cube
2×associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
81.0ms
(/ (+ x y) 10.0)

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(/ (+ x y) 10.0)

simplify2.6s

Counts
38 → 38
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
065354
1142334
2472314
32589314
done5001314

prune91.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 10.0 (+ x y))
0.3b
(/ 1 (/ 10.0 (+ x y)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
16×distribute-lft-out
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip inv-pow
Counts
2 → 133
Calls
2 calls:
22.0ms
(/ 10.0 (+ x y))
34.0ms
(/ 1 (/ 10.0 (+ x y)))

series107.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ 10.0 (+ x y))
47.0ms
(/ 1 (/ 10.0 (+ x y)))

simplify1.7s

Counts
139 → 139
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01811820
14541516
226321385
done50011379

prune247.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (sqrt (+ x y)))
0.2b
(/ 1 (* (/ 1 (sqrt (+ x y))) (/ 10.0 (sqrt (+ x y)))))
0.2b
(/ 10.0 (sqrt (+ x y)))
0.2b
(* (/ 1 (sqrt (+ x y))) (/ 10.0 (sqrt (+ x y))))

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
112×add-sqr-sqrt
110×add-exp-log
109×times-frac
100×*-un-lft-identity
67×sqrt-prod
66×add-cube-cbrt
53×div-exp
38×add-cbrt-cube
32×prod-exp
27×associate-*r* associate-*l*
18×rec-exp 1-exp
15×cbrt-undiv associate-/r* unswap-sqr
14×distribute-lft-out
11×pow1 associate-/r/
9×associate-/l*
8×sqrt-div cbrt-unprod
5×pow-flip div-inv
4×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u add-log-exp
3×frac-2neg clear-num
2×frac-times associate-*r/ pow-prod-down associate-*l/ inv-pow
1×sqrt-pow1 pow1/2 *-commutative
Counts
4 → 252
Calls
4 calls:
14.0ms
(/ 1 (sqrt (+ x y)))
70.0ms
(/ 1 (* (/ 1 (sqrt (+ x y))) (/ 10.0 (sqrt (+ x y)))))
17.0ms
(/ 10.0 (sqrt (+ x y)))
83.0ms
(* (/ 1 (sqrt (+ x y))) (/ 10.0 (sqrt (+ x y))))

series303.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(/ 1 (sqrt (+ x y)))
59.0ms
(/ 1 (* (/ 1 (sqrt (+ x y))) (/ 10.0 (sqrt (+ x y)))))
102.0ms
(/ 10.0 (sqrt (+ x y)))
62.0ms
(* (/ 1 (sqrt (+ x y))) (/ 10.0 (sqrt (+ x y))))

simplify3.6s

Counts
264 → 264
Iterations

Useful iterations: done (3.6s)

IterNodesCost
02854157
18453657
247383058
done50013056

prune507.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (- (* x x) (* y y)) 10.0)
4.7b
(- (* x x) (* y y))
27.3b
(/ (/ (- (* x x) (* y y)) 10.0) (- x y))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
164×times-frac
111×add-sqr-sqrt *-un-lft-identity
77×add-cube-cbrt
40×difference-of-squares
20×associate-/l*
17×distribute-lft-out--
10×add-exp-log add-cbrt-cube
8×associate-/r* div-inv
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 expm1-log1p-u flip3-- div-sub flip-- log1p-expm1-u associate-/l/
2×frac-2neg clear-num associate-/r/
1×sub-neg fma-neg diff-log prod-diff
Counts
3 → 174
Calls
3 calls:
38.0ms
(/ (- (* x x) (* y y)) 10.0)
17.0ms
(- (* x x) (* y y))
61.0ms
(/ (/ (- (* x x) (* y y)) 10.0) (- x y))

series228.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(/ (- (* x x) (* y y)) 10.0)
59.0ms
(- (* x x) (* y y))
102.0ms
(/ (/ (- (* x x) (* y y)) 10.0) (- x y))

simplify2.4s

Counts
183 → 183
Iterations

Useful iterations: 2 (720.0ms)

IterNodesCost
02723791
17273644
237263373
done50013373

prune677.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes79.0ms

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
055
165
done65

end0.0ms

sample467.0ms

Algorithm
intervals
Results
209.0ms8000×body80valid