Details

Time bar (total: 2.1s)

sample13.0ms

Algorithm
intervals
Results
6.0ms305×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))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (fabs (- x y)) (fabs y))

simplify88.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
088236
1237218
2600218
31536218
44404218
55002218

prune71.0ms

Filtered
32 candidates to 24 candidates (75.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New29332
Fresh000
Picked011
Done000
Total29433

Merged error: 0b

Counts
33 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fabs (- x y)) (fabs y))
0.1b
(sqrt (/ (fabs (- x y)) (fabs y)))
0.1b
(sqrt (/ (fabs (- x y)) (fabs y)))
0.3b
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt sqrt-prod
71×times-frac
58×add-cube-cbrt *-un-lft-identity
21×pow1
18×swap-sqr
16×associate-*r* associate-*l*
10×sqrt-pow1 pow1/2
9×unswap-sqr
8×add-exp-log add-cbrt-cube
7×div-inv
6×sqrt-div
5×pow-prod-up
4×expm1-log1p-u rem-sqrt-square log1p-expm1-u add-log-exp
3×pow-prod-down associate-/r* pow-sqr associate-/l*
1×cbrt-undiv pow2 frac-times frac-2neg pow-plus sqrt-unprod associate-*r/ div-exp associate-*l/ prod-exp clear-num rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 172
Calls
4 calls:
3.0ms
(/ (fabs (- x y)) (fabs y))
3.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
3.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
13.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

series63.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(/ (fabs (- x y)) (fabs y))
17.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
30.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
9.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

simplify48.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
02411615
111581494
250011460

prune432.0ms

Filtered
184 candidates to 120 candidates (65.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1831184
Fresh112
Picked101
Done011
Total1853188

Merged error: 0b

Counts
188 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.0b
(sqrt (fabs (- x y)))
0.3b
(/ (sqrt (fabs (- x y))) (fabs y))
0.4b
(* (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (fabs y)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
36×add-cube-cbrt *-un-lft-identity
35×sqrt-prod
22×associate-*r*
11×add-exp-log add-cbrt-cube
8×pow1
6×associate-*l* associate-/l* unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r*
2×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp prod-exp cbrt-unprod div-inv
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 121
Calls
4 calls:
2.0ms
(sqrt (fabs (- x y)))
2.0ms
(sqrt (fabs (- x y)))
6.0ms
(/ (sqrt (fabs (- x y))) (fabs y))
20.0ms
(* (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (fabs y)))

series47.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sqrt (fabs (- x y)))
9.0ms
(sqrt (fabs (- x y)))
22.0ms
(/ (sqrt (fabs (- x y))) (fabs y))
8.0ms
(* (sqrt (fabs (- x y))) (/ (sqrt (fabs (- x y))) (fabs y)))

simplify90.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
02301157
110241021
24553982
35001982

prune248.0ms

Filtered
133 candidates to 84 candidates (63.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1330133
Fresh011
Picked011
Done011
Total1333136

Merged error: 0b

Counts
136 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (/ (fabs (- x y)) (fabs y)))
0.1b
(sqrt (/ (fabs (- x y)) (fabs y)))
0.6b
(expm1 (sqrt (/ (fabs (- x y)) (fabs y))))
1.2b
(log1p (expm1 (sqrt (/ (fabs (- x y)) (fabs y)))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
26×sqrt-prod
24×add-sqr-sqrt
20×times-frac
18×add-cube-cbrt *-un-lft-identity
6×pow1
5×log1p-expm1-u
4×add-exp-log expm1-log1p-u rem-sqrt-square add-cbrt-cube add-log-exp
2×sqrt-pow1 pow1/2 sqrt-div div-inv
1×log1p-udef expm1-log1p log1p-expm1 expm1-udef
Counts
4 → 76
Calls
4 calls:
3.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
3.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
1.0ms
(expm1 (sqrt (/ (fabs (- x y)) (fabs y))))
1.0ms
(log1p (expm1 (sqrt (/ (fabs (- x y)) (fabs y)))))

series131.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
17.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
44.0ms
(expm1 (sqrt (/ (fabs (- x y)) (fabs y))))
52.0ms
(log1p (expm1 (sqrt (/ (fabs (- x y)) (fabs y)))))

simplify64.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 3 (14.0ms)

IterNodesCost
0107685
1207636
2476631
31551625
45001625

prune249.0ms

Filtered
88 candidates to 64 candidates (72.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New88088
Fresh000
Picked011
Done022
Total88391

Merged error: 0b

Counts
91 → 3

regimes59.0ms

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

sample362.0ms

Algorithm
intervals
Results
197.0ms9217×body80valid