Details

Time bar (total: 3.3s)

sample13.0ms

Algorithm
intervals
Results
5.0ms282×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))

simplify88.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
088236
1237218
2598218
31539218
44397218
55001218

prune54.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
55×*-un-lft-identity
54×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
15×add-exp-log
10×associate-/l*
9×associate-/r/ add-cbrt-cube
8×div-exp
6×div-inv
4×cbrt-undiv clear-num
3×pow1 frac-2neg
2×expm1-log1p-u rec-exp 1-exp log1p-expm1-u remove-double-div add-log-exp
1×pow-flip inv-pow
Counts
2 → 117
Calls
2 calls:
3.0ms
(/ (fabs y) (fabs (- x y)))
7.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

series18.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ (fabs y) (fabs (- x y)))
10.0ms
(/ 1 (/ (fabs y) (fabs (- x y))))

simplify65.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
03201088
11345980
24713903
35002903

prune136.0ms

Filtered
123 candidates to 63 candidates (51.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1212123
Fresh202
Picked101
Done011
Total1243127

Merged error: 0b

Counts
127 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (* (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))) (/ (sqrt (fabs y)) (sqrt (fabs (- x y))))))
0.2b
(/ (sqrt (fabs y)) (sqrt (fabs (- x y))))
0.2b
(/ (sqrt (fabs y)) (sqrt (fabs (- x y))))
0.3b
(* (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))) (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))))

rewrite282.0ms

Algorithm
rewrite-expression-head
Rules
1849×add-sqr-sqrt
1806×times-frac
1668×sqrt-prod
1081×*-un-lft-identity
1079×add-cube-cbrt
574×associate-/r*
450×frac-times
401×associate-/l*
340×swap-sqr
257×associate-/r/
200×associate-*r* associate-*l*
125×unswap-sqr
69×clear-num
67×frac-2neg
64×add-exp-log
38×add-cbrt-cube
30×associate-*r/ associate-*l/
28×div-exp
23×div-inv
19×pow1
16×prod-exp
15×cbrt-undiv
8×cbrt-unprod
6×sqrt-undiv pow-flip
5×rec-exp 1-exp *-commutative
4×expm1-log1p-u un-div-inv log1p-expm1-u add-log-exp
2×pow2 pow-plus pow-prod-down pow-sqr pow-prod-up
1×sqrt-unprod rem-square-sqrt inv-pow
Counts
4 → 1592
Calls
4 calls:
84.0ms
(/ 1 (* (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))) (/ (sqrt (fabs y)) (sqrt (fabs (- x y))))))
5.0ms
(/ (sqrt (fabs y)) (sqrt (fabs (- x y))))
5.0ms
(/ (sqrt (fabs y)) (sqrt (fabs (- x y))))
46.0ms
(* (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))) (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))))

series50.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ 1 (* (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))) (/ (sqrt (fabs y)) (sqrt (fabs (- x y))))))
17.0ms
(/ (sqrt (fabs y)) (sqrt (fabs (- x y))))
17.0ms
(/ (sqrt (fabs y)) (sqrt (fabs (- x y))))
9.0ms
(* (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))) (/ (sqrt (fabs y)) (sqrt (fabs (- x y)))))

simplify285.0ms

Algorithm
egg-herbie
Counts
1604 → 1604
Iterations

Useful iterations: 1 (61.0ms)

IterNodesCost
0272432087
1500126033

prune1.5s

Filtered
1604 candidates to 478 candidates (29.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New160401604
Fresh011
Picked011
Done011
Total160431607

Merged error: 0b

Counts
1607 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fabs y) (fabs (- x y)))
0.1b
(/ 1 (cbrt (pow (/ (fabs y) (fabs (- x y))) 3)))
0.2b
(pow (/ (fabs y) (fabs (- x y))) 3)
15.7b
(cbrt (pow (/ (fabs y) (fabs (- x y))) 3))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
126×times-frac
90×cbrt-prod
87×*-un-lft-identity
86×add-sqr-sqrt add-cube-cbrt
78×unpow-prod-down
24×associate-/r*
13×add-exp-log
12×add-cbrt-cube
8×div-inv
6×pow1 unpow3 associate-/l* sqr-pow
4×cbrt-undiv expm1-log1p-u pow-unpow div-exp log1p-expm1-u add-log-exp
2×pow-flip frac-2neg pow1/3 pow-exp clear-num rem-cbrt-cube rem-cube-cbrt
1×pow-to-exp rec-exp pow-pow 1-exp inv-pow
Counts
4 → 199
Calls
4 calls:
3.0ms
(/ (fabs y) (fabs (- x y)))
8.0ms
(/ 1 (cbrt (pow (/ (fabs y) (fabs (- x y))) 3)))
4.0ms
(pow (/ (fabs y) (fabs (- x y))) 3)
4.0ms
(cbrt (pow (/ (fabs y) (fabs (- x y))) 3))

series55.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(/ (fabs y) (fabs (- x y)))
7.0ms
(/ 1 (cbrt (pow (/ (fabs y) (fabs (- x y))) 3)))
28.0ms
(pow (/ (fabs y) (fabs (- x y))) 3)
8.0ms
(cbrt (pow (/ (fabs y) (fabs (- x y))) 3))

simplify56.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04692140
118861808
250011773

prune292.0ms

Filtered
211 candidates to 112 candidates (53.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2110211
Fresh000
Picked011
Done022
Total2113214

Merged error: 0b

Counts
214 → 3

regimes49.0ms

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

sample306.0ms

Algorithm
intervals
Results
167.0ms9088×body80valid