Details

Time bar (total: 2.1s)

sample17.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
4.0ms249×body80nan

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
073
1113
2133
3133

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
2×sqrt-div
1×flip3-- pow1/2 flip--
Counts
1 → 3
Calls
1 calls:
2.0ms
(sqrt (- 1.0 (* x x)))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(sqrt (- 1.0 (* x x)))

simplify74.0ms

Algorithm
egg-herbie
Counts
6 → 6
Iterations

Useful iterations: 3 (71.0ms)

IterNodesCost
013262
146561
2230159
3500157

prune24.0ms

Filtered
6 candidates to 6 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New426
Fresh000
Picked101
Done000
Total527

Merged error: 0b

Counts
7 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot x (sqrt 1.0))
0.0b
(sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))
0.0b
(/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot x (sqrt 1.0)))
0.1b
(* (* x x) (* x x))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
67×*-commutative
40×sqrt-prod difference-of-squares
20×swap-sqr associate-/l* unswap-sqr
7×pow2
4×sqrt-div
2×hypot-udef flip3-- associate-*r* associate-*l* flip-- associate-/l/
1×sqrt-undiv frac-2neg pow1/2 pow-prod-down clear-num pow-sqr pow-prod-up div-inv
Counts
4 → 67
Calls
4 calls:
1.0ms
(hypot x (sqrt 1.0))
14.0ms
(sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))
11.0ms
(/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot x (sqrt 1.0)))
5.0ms
(* (* x x) (* x x))

series505.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(hypot x (sqrt 1.0))
102.0ms
(sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))
278.0ms
(/ (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot x (sqrt 1.0)))
31.0ms
(* (* x x) (* x x))

simplify39.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0305503
11305463
25001450

prune92.0ms

Filtered
79 candidates to 26 candidates (32.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New79079
Fresh011
Picked011
Done000
Total79281

Merged error: 0b

Counts
81 → 2

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))
0.0b
(+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
77×associate-*r/
42×frac-add
28×clear-num
27×sqr-pow
21×associate-/l*
14×frac-2neg associate-/r* un-div-inv
9×unpow3
7×unpow2
6×associate-*r*
5×fma-def
4×times-frac
2×*-commutative div-inv
1×+-commutative flip3-+ flip-+
Counts
2 → 61
Calls
2 calls:
4.0ms
(* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))
11.0ms
(+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))

series426.0ms

Counts
2 → 6
Calls
2 calls:
139.0ms
(* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))
287.0ms
(+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))

simplify82.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0652839
12870744
25001732

prune179.0ms

Filtered
67 candidates to 41 candidates (61.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New67067
Fresh000
Picked011
Done011
Total67269

Merged error: 0b

Counts
69 → 2

regimes12.0ms

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
0109

end0.0ms

sample511.0ms

Algorithm
intervals
Results
172.0ms8000×body80valid
145.0ms8139×body80nan