Details

Time bar (total: 2.6s)

sample25.0ms

Algorithm
intervals
Results
10.0ms287×body80valid

simplify2.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:
8.0ms
(/ (fabs (- x y)) (fabs y))

series14.0ms

Counts
1 → 3
Calls
1 calls:
13.0ms
(/ (fabs (- x y)) (fabs y))

simplify51.0ms

Counts
30 → 30

prune87.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (fabs y) (fabs (- x y)))
0.2b
(/ 1 (/ (fabs y) (fabs (- x y))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 103
Calls
2 calls:
6.0ms
(/ (fabs y) (fabs (- x y)))
12.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

series30.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(/ (fabs y) (fabs (- x y)))
14.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

simplify81.0ms

Counts
109 → 109

prune270.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

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)))

rewrite43.0ms

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:
24.0ms
(/ (/ (fabs (- x y)) (sqrt (fabs y))) (sqrt (fabs y)))
7.0ms
(/ (fabs (- x y)) (sqrt (fabs y)))

series42.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(/ (/ (fabs (- x y)) (sqrt (fabs y))) (sqrt (fabs y)))
28.0ms
(/ (fabs (- x y)) (sqrt (fabs y)))

simplify55.0ms

Counts
220 → 220

prune519.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (fabs (- x y)) (fabs y))
0.1b
(pow (/ (fabs (- x y)) (fabs y)) 3)
14.7b
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 3))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
41×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
32×cbrt-prod
26×unpow-prod-down cube-prod
8×add-exp-log add-cbrt-cube
5×div-inv
4×pow1
3×pow-unpow associate-/r* associate-/l* add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num rem-cbrt-cube
Counts
3 → 115
Calls
3 calls:
6.0ms
(/ (fabs (- x y)) (fabs y))
13.0ms
(pow (/ (fabs (- x y)) (fabs y)) 3)
11.0ms
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 3))

series73.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(/ (fabs (- x y)) (fabs y))
49.0ms
(pow (/ (fabs (- x y)) (fabs y)) 3)
9.0ms
(cbrt (pow (/ (fabs (- x y)) (fabs y)) 3))

simplify51.0ms

Counts
124 → 124

prune315.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

end0.0ms

sample727.0ms

Algorithm
intervals
Results
299.0ms9136×body80valid