Details

Time bar (total: 1.4s)

sample13.0ms

Algorithm
intervals
Results
5.0ms295×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
084
194
294

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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))

rewrite3.0ms

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:
2.0ms
(/ (fabs (- x y)) (fabs y))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(/ (fabs (- x y)) (fabs y))

simplify89.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
088236
1237218
2600218
31536218
44404218
55002218

prune68.0ms

Filtered
32 candidates to 24 candidates (75.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (fabs y) (fabs (- x y)))
0.1b
(/ 1 (/ (fabs y) (fabs (- x y))))

rewrite11.0ms

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×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 107
Calls
2 calls:
2.0ms
(/ (fabs y) (fabs (- x y)))
5.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

series18.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(/ (fabs y) (fabs (- x y)))
7.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

simplify58.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
03141058
11325952
24677878
35001878

prune160.0ms

Filtered
113 candidates to 60 candidates (53.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fabs y) (fabs (- x y)))
0.0b
(log1p (/ (fabs y) (fabs (- x y))))
0.0b
(expm1 (log1p (/ (fabs y) (fabs (- x y)))))
0.1b
(/ 1 (expm1 (log1p (/ (fabs y) (fabs (- x y))))))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×times-frac
10×add-exp-log
8×add-cbrt-cube
6×associate-/r* associate-/l*
5×pow1 expm1-log1p-u
4×log1p-expm1-u add-log-exp
3×div-exp
2×cbrt-undiv frac-2neg clear-num div-inv
1×rec-exp log1p-udef expm1-log1p pow-flip 1-exp log1p-expm1 inv-pow expm1-udef
Counts
4 → 84
Calls
4 calls:
2.0ms
(/ (fabs y) (fabs (- x y)))
0.0ms
(log1p (/ (fabs y) (fabs (- x y))))
0.0ms
(expm1 (log1p (/ (fabs y) (fabs (- x y)))))
2.0ms
(/ 1 (expm1 (log1p (/ (fabs y) (fabs (- x y))))))

series131.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(/ (fabs y) (fabs (- x y)))
35.0ms
(log1p (/ (fabs y) (fabs (- x y))))
39.0ms
(expm1 (log1p (/ (fabs y) (fabs (- x y)))))
49.0ms
(/ 1 (expm1 (log1p (/ (fabs y) (fabs (- x y))))))

simplify88.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
0177778
1531650
21396623
33990621
45002621

prune196.0ms

Filtered
96 candidates to 61 candidates (63.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
11×times-frac
10×add-exp-log *-un-lft-identity
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 expm1-log1p-u rec-exp 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
7.0ms
(* (fabs (- x y)) (/ 1 (fabs y)))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(* (fabs (- x y)) (/ 1 (fabs y)))

simplify74.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0181289
1730247
22578229
34915229
45001229

prune70.0ms

Filtered
41 candidates to 26 candidates (63.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064

end0.0ms

sample311.0ms

Algorithm
intervals
Results
165.0ms9071×body80valid