Details

Time bar (total: 13.0s)

sample17.0ms

Algorithm
intervals
Results
7.0ms282×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
297
done97

prune2.0ms

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 expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
5.0ms
(/ (fabs (- x y)) (fabs y))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(/ (fabs (- x y)) (fabs y))

simplify1.2s

Counts
32 → 32
Iterations

Useful iterations: 3 (226.0ms)

IterNodesCost
054385
193376
2268350
31252348
done5001348

prune108.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ 1 (/ (fabs y) (fabs (- x y))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/r*
12×add-exp-log
7×div-exp
6×add-cbrt-cube
5×div-inv
3×cbrt-undiv associate-/l*
2×pow1 rec-exp 1-exp
1×expm1-log1p-u pow-flip frac-2neg clear-num associate-/r/ log1p-expm1-u inv-pow add-log-exp
Counts
1 → 78
Calls
1 calls:
19.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

series16.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

simplify1.0s

Counts
81 → 81
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01441394
13451189
214631084
done50001020

prune163.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.0b
(sqrt (fabs (- x y)))
0.1b
(/ (sqrt (fabs (- x y))) (/ (fabs y) (sqrt (fabs (- x y)))))
0.4b
(/ (fabs y) (sqrt (fabs (- x y))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
160×add-sqr-sqrt
158×add-cube-cbrt *-un-lft-identity
150×sqrt-prod
28×associate-/r*
11×add-exp-log add-cbrt-cube
9×div-inv associate-/l*
6×pow1
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×associate-/r/
Counts
4 → 248
Calls
4 calls:
3.0ms
(sqrt (fabs (- x y)))
3.0ms
(sqrt (fabs (- x y)))
29.0ms
(/ (sqrt (fabs (- x y))) (/ (fabs y) (sqrt (fabs (- x y)))))
13.0ms
(/ (fabs y) (sqrt (fabs (- x y))))

series78.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(sqrt (fabs (- x y)))
18.0ms
(sqrt (fabs (- x y)))
16.0ms
(/ (sqrt (fabs (- x y))) (/ (fabs y) (sqrt (fabs (- x y)))))
25.0ms
(/ (fabs y) (sqrt (fabs (- x y))))

simplify546.0ms

Counts
260 → 260
Iterations

Useful iterations: done (533.0ms)

IterNodesCost
02676240
16665695
done50005496

prune631.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sqrt (sqrt (fabs (- x y)))) (sqrt (/ (fabs y) (sqrt (fabs (- x y))))))
0.2b
(* (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (/ (fabs y) (sqrt (fabs (- x y)))))) (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (/ (fabs y) (sqrt (fabs (- x y)))))))
0.4b
(/ (fabs y) (sqrt (fabs (- x y))))
0.4b
(/ (fabs y) (sqrt (fabs (- x y))))

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
4420×sqrt-prod
3393×times-frac
2778×add-sqr-sqrt
1336×add-cube-cbrt *-un-lft-identity
500×swap-sqr
230×associate-*r* associate-*l*
169×unswap-sqr
65×div-inv
37×associate-/r*
22×add-exp-log add-cbrt-cube
15×associate-/l*
11×pow1
7×cbrt-undiv div-exp
5×sqrt-undiv sqrt-div associate-/r/
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×frac-2neg clear-num
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ pow-prod-down associate-*l/ rem-square-sqrt pow-sqr *-commutative pow-prod-up
Counts
4 → 1514
Calls
4 calls:
28.0ms
(/ (sqrt (sqrt (fabs (- x y)))) (sqrt (/ (fabs y) (sqrt (fabs (- x y))))))
967.0ms
(* (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (/ (fabs y) (sqrt (fabs (- x y)))))) (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (/ (fabs y) (sqrt (fabs (- x y)))))))
7.0ms
(/ (fabs y) (sqrt (fabs (- x y))))
7.0ms
(/ (fabs y) (sqrt (fabs (- x y))))

series89.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (sqrt (sqrt (fabs (- x y)))) (sqrt (/ (fabs y) (sqrt (fabs (- x y))))))
11.0ms
(* (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (/ (fabs y) (sqrt (fabs (- x y)))))) (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (/ (fabs y) (sqrt (fabs (- x y)))))))
24.0ms
(/ (fabs y) (sqrt (fabs (- x y))))
33.0ms
(/ (fabs y) (sqrt (fabs (- x y))))

simplify2.5s

Counts
1526 → 1526
Iterations

Useful iterations: done (2.4s)

IterNodesCost
087479982
1315874970
done500072959

prune3.8s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes90.0ms

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

sample1.2s

Algorithm
intervals
Results
326.0ms9161×body80valid