Details

Time bar (total: 3.5s)

sample49.0ms

Algorithm
intervals
Results
24.0ms761×body80nan
9.0ms256×body80valid

simplify7.0ms

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: 0.3b

localize9.0ms

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)))

rewrite45.0ms

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))
21.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series457.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(sqrt (- 1.0 (* x x)))
104.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
289.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify48.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0443652
11562605
25001594

prune225.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series736.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(cbrt x)
180.0ms
(cbrt x)
180.0ms
(cbrt x)
186.0ms
(cbrt x)

simplify131.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
042172
183160
2195152
3699152
44132152
55001152

prune221.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01915
11915

end0.0ms

sample1.5s

Algorithm
intervals
Results
788.0ms24180×body80nan
307.0ms8000×body80valid