Details

Time bar (total: 3.6s)

sample53.0ms

Algorithm
intervals
Results
25.0ms756×body80nan
10.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2187
3187

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

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

rewrite60.0ms

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:
4.0ms
(sqrt (- 1.0 (* x x)))
30.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
24.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series428.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(sqrt (- 1.0 (* x x)))
103.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
269.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify46.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0443652
11562605
25001594

prune234.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
60×*-un-lft-identity
56×times-frac
28×add-cube-cbrt
26×fma-def
20×sqrt-prod
16×distribute-lft-out
12×hypot-def
10×div-inv
8×add-log-exp
6×pow1 sqrt-div
4×add-exp-log expm1-log1p-u distribute-rgt-out flip3-+ frac-add add-cbrt-cube flip-+ log1p-expm1-u
2×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
4 → 122
Calls
4 calls:
27.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
27.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
53.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
53.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series601.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
100.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
202.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
198.0ms
(sqrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify45.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
04171064
11386996
25001962

prune508.0ms

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
01217
11217

end0.0ms

sample1.4s

Algorithm
intervals
Results
721.0ms23984×body80nan
297.0ms8000×body80valid