Details

Time bar (total: 1.8s)

sample13.0ms

Algorithm
intervals
Results
5.0ms288×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

localize5.0ms

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))

simplify87.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
088236
1237218
2600218
31536218
44404218
55002218

prune66.0ms

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

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))))

rewrite15.0ms

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:
3.0ms
(/ (fabs y) (fabs (- x y)))
8.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

series15.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ (fabs y) (fabs (- x y)))
7.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

simplify61.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
03141058
11325952
24677878
35001878

prune168.0ms

Filtered
113 candidates to 61 candidates (54.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1121113
Fresh112
Picked101
Done011
Total1143117

Merged error: 0b

Counts
117 → 3

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))))))

rewrite9.0ms

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:
3.0ms
(/ (fabs y) (fabs (- x y)))
1.0ms
(log1p (/ (fabs y) (fabs (- x y))))
1.0ms
(expm1 (log1p (/ (fabs y) (fabs (- x y)))))
3.0ms
(/ 1 (expm1 (log1p (/ (fabs y) (fabs (- x y))))))

series128.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(/ (fabs y) (fabs (- x y)))
32.0ms
(log1p (/ (fabs y) (fabs (- x y))))
42.0ms
(expm1 (log1p (/ (fabs y) (fabs (- x y)))))
46.0ms
(/ 1 (expm1 (log1p (/ (fabs y) (fabs (- x y))))))

simplify71.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
0177778
1531650
21396623
33990621
45002621

prune191.0ms

Filtered
96 candidates to 61 candidates (63.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh011
Picked011
Done011
Total96399

Merged error: 0b

Counts
99 → 3

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

rewrite32.0ms

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)))
16.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

series47.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ (fabs (- x y)) (fabs y))
16.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
16.0ms
(sqrt (/ (fabs (- x y)) (fabs y)))
7.0ms
(* (sqrt (/ (fabs (- x y)) (fabs y))) (sqrt (/ (fabs (- x y)) (fabs y))))

simplify57.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
02411615
111581494
250011460

prune385.0ms

Filtered
184 candidates to 122 candidates (66.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1840184
Fresh000
Picked011
Done022
Total1843187

Merged error: 0b

Counts
187 → 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

sample311.0ms

Algorithm
intervals
Results
166.0ms9130×body80valid