Details

Time bar (total: 2.7s)

sample18.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
4.0ms291×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (+ x y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
4×*-un-lft-identity sqrt-prod
2×pow1 add-cube-cbrt sqrt-div
1×add-exp-log expm1-log1p-u rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ hypot-def log1p-expm1-u distribute-lft-out add-log-exp
Counts
1 → 19
Calls
1 calls:
3.0ms
(sqrt (+ x y))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(sqrt (+ x y))

simplify75.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 3 (25.0ms)

IterNodesCost
012295
130386
296983
3287778
4500278

prune36.0ms

Filtered
22 candidates to 17 candidates (77.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New20222
Fresh000
Picked011
Done000
Total20323

Merged error: 0.0b

Counts
23 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (cbrt (+ x y)))
0.4b
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
18×cbrt-prod
16×sqrt-prod
12×add-cube-cbrt
10×associate-*r*
8×cbrt-div
7×pow1
6×add-exp-log add-cbrt-cube
4×expm1-log1p-u flip3-+ sqrt-div flip-+ log1p-expm1-u distribute-lft-out add-log-exp
3×pow1/3 associate-*l* unswap-sqr
2×rem-sqrt-square sqrt-pow1 associate-*r/
1×pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 86
Calls
4 calls:
4.0ms
(sqrt (cbrt (+ x y)))
8.0ms
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))

series578.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(sqrt (cbrt (+ x y)))
186.0ms
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
122.0ms
(cbrt (+ x y))
125.0ms
(cbrt (+ x y))

simplify114.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0325657
11094622
24451614
35001614

prune239.0ms

Filtered
98 candidates to 81 candidates (82.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New97198
Fresh101
Picked011
Done011
Total983101

Merged error: 0b

Counts
101 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))
0.6b
(cbrt (cbrt (+ x y)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
20×cbrt-prod
14×*-un-lft-identity
9×flip3-+ flip-+
8×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log expm1-log1p-u frac-times pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×distribute-lft-out
2×associate-*r/ associate-*l/
Counts
4 → 70
Calls
4 calls:
3.0ms
(cbrt (+ x y))
3.0ms
(cbrt (+ x y))
8.0ms
(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))
3.0ms
(cbrt (cbrt (+ x y)))

series691.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(cbrt (+ x y))
128.0ms
(cbrt (+ x y))
248.0ms
(cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))
192.0ms
(cbrt (cbrt (+ x y)))

simplify79.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0298572
1806540
22980530
35001530

prune255.0ms

Filtered
82 candidates to 72 candidates (87.8%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New82082
Fresh000
Picked011
Done022
Total82385

Merged error: 0b

Counts
85 → 3

regimes65.0ms

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
052
152

end0.0ms

sample450.0ms

Algorithm
intervals
Results
113.0ms8000×body80valid
108.0ms8124×body80nan