Details

Time bar (total: 16.9s)

sample25.0ms

Algorithm
intervals
Results
10.0ms286×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
297
done97

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
1×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 27
Calls
1 calls:
5.0ms
(/ (fabs (- x y)) (fabs y))

series11.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(/ (fabs (- x y)) (fabs y))

simplify3.3s

Counts
30 → 30
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
052369
186360
2179332
3330332
4551332
5867332
62008332
done5000332

prune107.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ (fabs (- x y)) (sqrt (fabs y))) (sqrt (fabs y)))
0.4b
(/ (fabs (- x y)) (sqrt (fabs y)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
154×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
144×sqrt-prod
25×associate-/l*
12×associate-/r*
9×add-exp-log add-cbrt-cube div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 214
Calls
2 calls:
27.0ms
(/ (/ (fabs (- x y)) (sqrt (fabs y))) (sqrt (fabs y)))
6.0ms
(/ (fabs (- x y)) (sqrt (fabs y)))

series34.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (/ (fabs (- x y)) (sqrt (fabs y))) (sqrt (fabs y)))
25.0ms
(/ (fabs (- x y)) (sqrt (fabs y)))

simplify2.8s

Counts
220 → 220
Iterations

Useful iterations: done (2.8s)

IterNodesCost
02475276
15264697
29954403
323214307
done50004256

prune621.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (/ 1 (/ (sqrt (fabs y)) (fabs (- x y)))) (sqrt (fabs y)))
0.2b
(/ (sqrt (fabs y)) (fabs (- x y)))
0.3b
(/ 1 (/ (sqrt (fabs y)) (fabs (- x y))))

rewrite218.0ms

Algorithm
rewrite-expression-head
Rules
1422×times-frac
671×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
453×sqrt-prod
80×associate-/l*
35×add-exp-log div-inv
31×associate-/r*
22×div-exp
19×add-cbrt-cube
10×cbrt-undiv
8×associate-/r/
4×pow1 rec-exp 1-exp
3×frac-2neg clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
3 → 675
Calls
3 calls:
64.0ms
(/ (/ 1 (/ (sqrt (fabs y)) (fabs (- x y)))) (sqrt (fabs y)))
22.0ms
(/ (sqrt (fabs y)) (fabs (- x y)))
27.0ms
(/ 1 (/ (sqrt (fabs y)) (fabs (- x y))))

series90.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (/ 1 (/ (sqrt (fabs y)) (fabs (- x y)))) (sqrt (fabs y)))
49.0ms
(/ (sqrt (fabs y)) (fabs (- x y)))
22.0ms
(/ 1 (/ (sqrt (fabs y)) (fabs (- x y))))

simplify2.2s

Counts
684 → 684
Iterations

Useful iterations: done (2.2s)

IterNodesCost
074719925
1170616240
2284114679
done500014405

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1 (sqrt (fabs y)))
0.3b
(* (/ (fabs (- x y)) (sqrt (fabs y))) (/ 1 (sqrt (fabs y))))
0.4b
(/ (fabs (- x y)) (sqrt (fabs y)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
105×add-sqr-sqrt
94×times-frac
65×*-un-lft-identity
59×add-cube-cbrt
53×sqrt-prod
31×add-exp-log
22×associate-*r* associate-*l*
19×add-cbrt-cube
15×unswap-sqr
12×associate-/r*
11×div-exp
8×prod-exp
7×pow1
6×cbrt-undiv associate-/l*
4×cbrt-unprod div-inv
3×rec-exp pow-flip 1-exp add-log-exp
2×frac-2neg clear-num
1×frac-times sqrt-pow1 pow1/2 associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
3 → 168
Calls
3 calls:
8.0ms
(/ 1 (sqrt (fabs y)))
66.0ms
(* (/ (fabs (- x y)) (sqrt (fabs y))) (/ 1 (sqrt (fabs y))))
12.0ms
(/ (fabs (- x y)) (sqrt (fabs y)))

series54.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(/ 1 (sqrt (fabs y)))
14.0ms
(* (/ (fabs (- x y)) (sqrt (fabs y))) (/ 1 (sqrt (fabs y))))
23.0ms
(/ (fabs (- x y)) (sqrt (fabs y)))

simplify5.0s

Counts
177 → 177
Iterations

Useful iterations: done (5.0s)

IterNodesCost
01772827
14182466
210632109
325912089
done50001993

prune367.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes65.0ms

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
067
done67

end0.0ms

sample595.0ms

Algorithm
intervals
Results
308.0ms9073×body80valid