Details

Time bar (total: 3.6s)

sample19.0ms

Algorithm
intervals
Results
4.0ms256×body80valid
4.0ms294×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

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:
4.0ms
(sqrt (+ x y))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(sqrt (+ x y))

simplify70.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 3 (24.0ms)

IterNodesCost
012295
130386
296983
3287778
4500278

prune43.0ms

Filtered
22 candidates to 17 candidates (77.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

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))

rewrite25.0ms

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)))
15.0ms
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))

series574.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(sqrt (cbrt (+ x y)))
182.0ms
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
123.0ms
(cbrt (+ x y))
124.0ms
(cbrt (+ x y))

simplify119.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0325657
11094622
24451614
35001614

prune248.0ms

Filtered
98 candidates to 81 candidates (82.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (sqrt (+ x y)))
0.5b
(cbrt (sqrt (+ x y)))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod
18×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
8×cbrt-div sqrt-prod
4×pow1 add-exp-log expm1-log1p-u flip3-+ pow1/3 sqrt-div add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out add-log-exp
Counts
4 → 70
Calls
4 calls:
2.0ms
(cbrt (sqrt (+ x y)))
2.0ms
(cbrt (sqrt (+ x y)))
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))

series486.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(cbrt (sqrt (+ x y)))
123.0ms
(cbrt (sqrt (+ x y)))
120.0ms
(cbrt (+ x y))
123.0ms
(cbrt (+ x y))

simplify72.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0234486
1668458
22556442
35002438

prune331.0ms

Filtered
82 candidates to 70 candidates (85.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod *-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt cbrt-div
4×pow1 add-exp-log expm1-log1p-u flip3-+ pow1/3 add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out add-log-exp
Counts
4 → 64
Calls
4 calls:
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))

series500.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(cbrt (+ x y))
126.0ms
(cbrt (+ x y))
122.0ms
(cbrt (+ x y))
131.0ms
(cbrt (+ x y))

simplify137.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 4 (132.0ms)

IterNodesCost
0130372
1335348
21081340
34505340
45001336

prune273.0ms

Filtered
76 candidates to 68 candidates (89.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes81.0ms

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

sample484.0ms

Algorithm
intervals
Results
121.0ms8000×body80valid
109.0ms8096×body80nan