Details

Time bar (total: 8.3s)

sample18.0ms

Algorithm
intervals
Results
7.0ms295×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done9
29
18
06

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
1×pow1 cbrt-undiv clear-num frac-2neg div-exp div-inv add-log-exp
Counts
1 → 27
Calls
1 calls:
6.0ms
(/ (fabs (- x y)) (fabs y))

series10.0ms

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

simplify1.0s

Counts
30 → 30
Iterations
IterNodes
done5000
31236
2266
191
052

prune119.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (fabs (- x y)) (/ 1 (fabs y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
11×times-frac
10×*-un-lft-identity add-exp-log
9×add-cube-cbrt
6×add-cbrt-cube
4×prod-exp
3×pow1 associate-*l* unswap-sqr
2×div-exp cbrt-unprod
1×cbrt-undiv rec-exp 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative div-inv add-log-exp
Counts
1 → 36
Calls
1 calls:
13.0ms
(* (fabs (- x y)) (/ 1 (fabs y)))

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(* (fabs (- x y)) (/ 1 (fabs y)))

simplify2.2s

Counts
39 → 39
Iterations
IterNodes
done5000
21527
1191
076

prune158.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

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))))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
332×add-sqr-sqrt
327×sqrt-prod
312×times-frac
177×*-un-lft-identity add-cube-cbrt
68×swap-sqr
40×associate-*r* associate-*l*
25×unswap-sqr
20×add-cbrt-cube add-exp-log
12×pow1 associate-/r* associate-/l*
6×cbrt-undiv sqrt-undiv div-exp div-inv
4×prod-exp cbrt-unprod add-log-exp
2×clear-num frac-2neg
1×pow2 frac-times rem-sqrt-square rem-square-sqrt sqrt-pow1 pow-plus pow1/2 sqrt-unprod pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 334
Calls
4 calls:
2.0ms
(sqrt (fabs (- x y)))
12.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
12.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
73.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

series78.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (fabs (- x y)))
20.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
28.0ms
(/ (sqrt (fabs (- x y))) (sqrt (fabs y)))
14.0ms
(* (/ (sqrt (fabs (- x y))) (sqrt (fabs y))) (/ (sqrt (fabs (- x y))) (sqrt (fabs y))))

simplify434.0ms

Counts
346 → 346
Iterations
IterNodes
done5000
1704
0205

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (fabs (- x y)) (/ (/ 1 (sqrt (fabs y))) (sqrt (fabs y))))
0.2b
(/ 1 (sqrt (fabs y)))
0.4b
(/ (/ 1 (sqrt (fabs y))) (sqrt (fabs y)))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
534×times-frac
316×add-sqr-sqrt
283×*-un-lft-identity
279×add-cube-cbrt
273×sqrt-prod
136×associate-*r*
31×add-exp-log
25×associate-/l*
19×add-cbrt-cube
17×div-inv
14×pow1 div-exp
12×associate-/r* unswap-sqr
8×pow-flip
7×cbrt-undiv
6×pow-div
5×sqrt-pow1 pow1/2 prod-exp
3×rec-exp 1-exp associate-*l* cbrt-unprod add-log-exp
2×clear-num frac-2neg inv-pow
1×pow-prod-down associate-*r/ *-commutative associate-/l/
Counts
3 → 397
Calls
3 calls:
85.0ms
(* (fabs (- x y)) (/ (/ 1 (sqrt (fabs y))) (sqrt (fabs y))))
11.0ms
(/ 1 (sqrt (fabs y)))
31.0ms
(/ (/ 1 (sqrt (fabs y))) (sqrt (fabs y)))

series38.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* (fabs (- x y)) (/ (/ 1 (sqrt (fabs y))) (sqrt (fabs y))))
16.0ms
(/ 1 (sqrt (fabs y)))
6.0ms
(/ (/ 1 (sqrt (fabs y))) (sqrt (fabs y)))

simplify691.0ms

Counts
406 → 406
Iterations
IterNodes
done5001
11081
0372

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes129.0ms

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
06

end0.0ms

sample703.0ms

Algorithm
intervals
Results
349.0ms9140×body80valid