Details

Time bar (total: 2.6s)

sample18.0ms

Algorithm
intervals
Results
7.0ms295×body80valid

simplify3.0ms

Counts
1 → 1

prune2.0ms

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
(/ (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))

series10.0ms

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

simplify83.0ms

Counts
30 → 30

prune72.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.1b
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
0.1b
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
0.2b
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
332×add-sqr-sqrt
327×sqrt-prod
312×times-frac
177×add-cube-cbrt *-un-lft-identity
68×swap-sqr
40×associate-*r* associate-*l*
25×unswap-sqr
20×add-exp-log add-cbrt-cube
12×pow1 associate-/r* associate-/l*
6×cbrt-undiv sqrt-undiv div-exp div-inv
4×prod-exp cbrt-unprod add-log-exp
2×frac-2neg clear-num
1×pow2 frac-times rem-sqrt-square sqrt-pow1 pow-plus pow1/2 sqrt-unprod associate-*r/ pow-prod-down associate-*l/ rem-square-sqrt pow-sqr *-commutative pow-prod-up
Counts
4 → 334
Calls
4 calls:
1.0ms
(sqrt (fabs (- x y)))
8.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
8.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
69.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

series62.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(sqrt (fabs (- x y)))
19.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
22.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
10.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

simplify94.0ms

Counts
346 → 346

prune569.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
277×sqrt-prod
174×add-sqr-sqrt
162×times-frac
112×add-cube-cbrt *-un-lft-identity
59×associate-*r*
49×associate-*l*
32×add-exp-log add-cbrt-cube
21×unswap-sqr
13×pow1
12×prod-exp cbrt-unprod
9×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r*
4×sqrt-undiv sqrt-pow1 associate-*r/ pow-prod-down add-log-exp
3×sqrt-unprod div-inv
2×rem-sqrt-square pow1/2 *-commutative
1×frac-times frac-2neg associate-*l/ clear-num
Counts
4 → 271
Calls
4 calls:
2.0ms
(sqrt (sqrt (fabs (- x y))))
86.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (* (sqrt (sqrt (fabs (- x y)))) (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs y)))))
10.0ms
(/ (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs y)))
50.0ms
(* (sqrt (sqrt (fabs (- x y)))) (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs y))))

series147.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(sqrt (sqrt (fabs (- x y))))
10.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (* (sqrt (sqrt (fabs (- x y)))) (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs y)))))
70.0ms
(/ (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs y)))
21.0ms
(* (sqrt (sqrt (fabs (- x y)))) (/ (sqrt (sqrt (fabs (- x y)))) (sqrt (fabs y))))

simplify94.0ms

Counts
283 → 283

prune542.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes57.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample517.0ms

Algorithm
intervals
Results
249.0ms9186×body80valid