Details

Time bar (total: 1.3s)

sample15.0ms

Algorithm
intervals
Results
7.0ms296×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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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:
3.0ms
(/ (fabs (- x y)) (fabs y))

series7.0ms

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

simplify93.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
088236
1237218
2600218
31536218
44404218
55002218

prune64.0ms

Filtered
32 candidates to 24 candidates (75.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New30232
Fresh000
Picked011
Done000
Total30333

Merged error: 0b

Counts
33 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
40×times-frac
32×add-cube-cbrt *-un-lft-identity
29×sqrt-prod
22×associate-*r*
9×add-exp-log add-cbrt-cube
6×associate-*l* associate-/l* unswap-sqr
4×pow1
3×associate-/r*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 91
Calls
2 calls:
4.0ms
(/ (sqrt (fabs (- x y))) (fabs y))
13.0ms
(* (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (fabs y)))

series25.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ (sqrt (fabs (- x y))) (fabs y))
7.0ms
(* (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (fabs y)))

simplify93.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
02261013
11019881
24533844
35002844

prune150.0ms

Filtered
97 candidates to 60 candidates (61.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh011
Picked011
Done011
Total973100

Merged error: 0b

Counts
100 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1 (sqrt (fabs y)))
0.3b
(* (/ 1 (sqrt (fabs y))) (/ (fabs (- x y)) (sqrt (fabs y))))
0.4b
(/ (fabs (- x y)) (sqrt (fabs y)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
105×add-sqr-sqrt
94×times-frac
65×*-un-lft-identity
59×add-cube-cbrt
53×sqrt-prod
31×add-exp-log
22×associate-*r* associate-*l*
19×add-cbrt-cube
15×unswap-sqr
12×associate-/r*
11×div-exp
8×prod-exp
7×pow1
6×cbrt-undiv associate-/l*
4×cbrt-unprod div-inv
3×expm1-log1p-u rec-exp pow-flip 1-exp log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×frac-times sqrt-pow1 pow1/2 associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 173
Calls
3 calls:
4.0ms
(/ 1 (sqrt (fabs y)))
17.0ms
(* (/ 1 (sqrt (fabs y))) (/ (fabs (- x y)) (sqrt (fabs y))))
4.0ms
(/ (fabs (- x y)) (sqrt (fabs y)))

series41.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(/ 1 (sqrt (fabs y)))
7.0ms
(* (/ 1 (sqrt (fabs y))) (/ (fabs (- x y)) (sqrt (fabs y))))
17.0ms
(/ (fabs (- x y)) (sqrt (fabs y)))

simplify56.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04491846
122311631
250011501

prune247.0ms

Filtered
182 candidates to 98 candidates (53.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1820182
Fresh000
Picked011
Done022
Total1823185

Merged error: 0b

Counts
185 → 3

regimes47.0ms

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

sample358.0ms

Algorithm
intervals
Results
207.0ms9130×body80valid