Details

Time bar (total: 3.4s)

sample47.0ms

Algorithm
intervals
Results
22.0ms736×body80nan
9.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0127
1167
2187
3187

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: 0.3b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (- 1.0 (* x x)))
0.0b
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
0.2b
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
21×times-frac
18×add-sqr-sqrt
16×add-cube-cbrt
13×fma-def
8×log-prod distribute-lft-out
5×pow1 div-inv add-log-exp
4×add-exp-log sqrt-prod
3×expm1-log1p-u log-div add-cbrt-cube log1p-expm1-u
2×distribute-rgt-out flip3-+ sqrt-div frac-add flip-+
1×+-commutative rem-sqrt-square flip3-- sqrt-pow1 pow1/2 rem-log-exp sum-log log-pow flip-- difference-of-squares
Counts
3 → 72
Calls
3 calls:
3.0ms
(sqrt (- 1.0 (* x x)))
19.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
22.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series451.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(sqrt (- 1.0 (* x x)))
101.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
295.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify54.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0443652
11562605
25001594

prune180.0ms

Filtered
81 candidates to 71 candidates (87.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New80181
Fresh000
Picked011
Done000
Total80282

Merged error: 0b

Counts
82 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sqrt (- 1.0 (* x x))) (sqrt x))
0.2b
(/ 1 (sqrt x))
0.2b
(/ 1.0 (sqrt x))
0.2b
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
112×times-frac
105×*-un-lft-identity
94×add-sqr-sqrt
93×sqrt-prod
83×add-cube-cbrt
35×log-prod
22×associate-+l+
18×associate-/r*
13×pow1 associate-+r+ distribute-lft-out associate-/l*
12×add-exp-log
10×add-cbrt-cube
9×log-pow
8×fma-def
7×difference-of-squares
6×pow-flip div-inv
4×expm1-log1p-u log-div div-exp log1p-expm1-u add-log-exp
3×cbrt-undiv associate-+r- frac-2neg clear-num
2×sqrt-pow1 flip3-+ pow1/2 sqrt-div flip-+ associate-/l/ inv-pow
1×+-commutative associate-+l- rec-exp sqrt-undiv distribute-rgt-out flip3-- 1-exp frac-add sum-log flip--
Counts
4 → 224
Calls
4 calls:
9.0ms
(/ (sqrt (- 1.0 (* x x))) (sqrt x))
4.0ms
(/ 1 (sqrt x))
4.0ms
(/ 1.0 (sqrt x))
51.0ms
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))

series497.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(/ (sqrt (- 1.0 (* x x))) (sqrt x))
26.0ms
(/ 1 (sqrt x))
44.0ms
(/ 1.0 (sqrt x))
357.0ms
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))

simplify84.0ms

Algorithm
egg-herbie
Counts
236 → 236
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
08202157
131241950
250021893

prune484.0ms

Filtered
236 candidates to 151 candidates (64.0%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2360236
Fresh000
Picked011
Done011
Total2362238

Merged error: 0b

Counts
238 → 2

regimes49.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01813
11813

end0.0ms

sample1.4s

Algorithm
intervals
Results
722.0ms23732×body80nan
288.0ms8000×body80valid