Details

Time bar (total: 2.7s)

sample36.0ms

Algorithm
intervals
Results
19.0ms518×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1427
2547
3547

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.9b

localize9.0ms

Local error

Found 2 expressions with local error:

22.3b
(/ (* z z) (* t t))
23.8b
(/ (* x x) (* y y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-cbrt-cube
8×cbrt-undiv div-exp prod-exp cbrt-unprod
2×pow1 add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
2 → 42
Calls
2 calls:
5.0ms
(/ (* z z) (* t t))
5.0ms
(/ (* x x) (* y y))

series53.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (* z z) (* t t))
25.0ms
(/ (* x x) (* y y))

simplify32.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0285248
11335170
25001160

prune86.0ms

Filtered
48 candidates to 26 candidates (54.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 6.6b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (fabs (/ x y)) (fabs (/ x y)))
22.3b
(/ (* z z) (* t t))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×pow1
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp
3×swap-sqr associate-*r* associate-*l*
2×add-log-exp
1×pow2 frac-2neg times-frac pow-plus pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
3.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
5.0ms
(/ (* z z) (* t t))

series32.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
25.0ms
(/ (* z z) (* t t))

simplify111.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 3 (107.0ms)

IterNodesCost
0204263
1928199
24340182
35002176

prune110.0ms

Filtered
52 candidates to 28 candidates (53.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (fabs (/ x y)) (fabs (/ x y)))
0.3b
(* (fabs (/ z t)) (fabs (/ z t)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
6×add-exp-log swap-sqr associate-*r* associate-*l* add-cbrt-cube
2×pow2 pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod add-log-exp unswap-sqr
Counts
2 → 50
Calls
2 calls:
3.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
3.0ms
(* (fabs (/ z t)) (fabs (/ z t)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
7.0ms
(* (fabs (/ z t)) (fabs (/ z t)))

simplify68.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
0118278
1476228
22256204
35001192

prune136.0ms

Filtered
56 candidates to 30 candidates (53.6%)
Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (pow (fabs (/ z t)) 3/2) (sqrt (fabs (/ z t))))
0.2b
(pow (fabs (/ z t)) 3/2)
0.3b
(* (fabs (/ x y)) (fabs (/ x y)))
12.0b
(sqrt (fabs (/ z t)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
14×pow1
12×add-exp-log
10×associate-*l*
9×associate-*r* sqrt-prod
8×unpow-prod-down add-cbrt-cube
7×unswap-sqr
4×prod-exp add-log-exp sqr-pow
3×pow-unpow swap-sqr pow-prod-up
2×pow-to-exp sqrt-pow1 pow1/2 pow-exp *-commutative cbrt-unprod
1×pow2 rem-sqrt-square pow-pow pow-plus pow-prod-down pow-sqr
Counts
4 → 88
Calls
4 calls:
7.0ms
(* (pow (fabs (/ z t)) 3/2) (sqrt (fabs (/ z t))))
1.0ms
(pow (fabs (/ z t)) 3/2)
3.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
1.0ms
(sqrt (fabs (/ z t)))

series63.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (pow (fabs (/ z t)) 3/2) (sqrt (fabs (/ z t))))
38.0ms
(pow (fabs (/ z t)) 3/2)
7.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
10.0ms
(sqrt (fabs (/ z t)))

simplify137.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 3 (130.0ms)

IterNodesCost
0204617
1841568
24606547
35002517

prune245.0ms

Filtered
100 candidates to 60 candidates (60.0%)
Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.1b

regimes556.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01819
11819

end0.0ms

sample954.0ms

Algorithm
intervals
Results
549.0ms15631×body80valid