Details

Time bar (total: 2.4s)

sample17.0ms

Algorithm
intervals
Results
4.0ms275×body80nan
3.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152

prune2.0ms

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))

rewrite5.0ms

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))

series36.0ms

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

simplify78.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 3 (27.0ms)

IterNodesCost
012295
130386
296983
3287778
4500278

prune44.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (cbrt (+ x y)))
0.3b
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
0.7b
(cbrt (+ x y))
0.7b
(cbrt (+ x y))

rewrite27.0ms

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:
5.0ms
(sqrt (cbrt (+ x y)))
16.0ms
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
2.0ms
(cbrt (+ x y))
2.0ms
(cbrt (+ x y))

series587.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(sqrt (cbrt (+ x y)))
190.0ms
(* (fabs (cbrt (+ x y))) (sqrt (cbrt (+ x y))))
122.0ms
(cbrt (+ x y))
124.0ms
(cbrt (+ x y))

simplify118.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0325657
11094622
24451614
35001614

prune256.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x y))
0.3b
(* (fabs (cbrt (+ x y))) (fabs (cbrt (sqrt (+ x y)))))
0.6b
(cbrt (sqrt (+ x y)))
0.7b
(cbrt (+ x y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
15×add-sqr-sqrt
11×cbrt-prod
10×add-cube-cbrt
8×sqrt-prod
7×pow1
6×add-exp-log add-cbrt-cube
4×expm1-log1p-u cbrt-div sqrt-div log1p-expm1-u add-log-exp
3×flip3-+ associate-*r* associate-*l* flip-+ distribute-lft-out
2×pow1/3
1×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod hypot-def unswap-sqr
Counts
4 → 74
Calls
4 calls:
4.0ms
(sqrt (+ x y))
3.0ms
(* (fabs (cbrt (+ x y))) (fabs (cbrt (sqrt (+ x y)))))
3.0ms
(cbrt (sqrt (+ x y)))
2.0ms
(cbrt (+ x y))

series306.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(sqrt (+ x y))
17.0ms
(* (fabs (cbrt (+ x y))) (fabs (cbrt (sqrt (+ x y)))))
127.0ms
(cbrt (sqrt (+ x y)))
123.0ms
(cbrt (+ x y))

simplify119.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (112.0ms)

IterNodesCost
0378585
11196523
24704508
35001507

prune270.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes52.0ms

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

sample448.0ms

Algorithm
intervals
Results
110.0ms8000×body80valid
102.0ms8198×body80nan