Details

Time bar (total: 3.7s)

sample47.0ms

Algorithm
intervals
Results
22.0ms782×body80nan
9.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2167

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
33×times-frac
32×add-sqr-sqrt
26×add-cube-cbrt
20×sqrt-prod
8×log-prod distribute-lft-out
7×add-exp-log associate-/l*
6×pow1 add-cbrt-cube add-log-exp
5×div-inv difference-of-squares
4×sqrt-div
3×log-div associate-/r*
2×distribute-rgt-out flip3-- flip3-+ frac-add flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-exp rem-log-exp clear-num sum-log log-pow
Counts
4 → 98
Calls
4 calls:
3.0ms
(sqrt (- 1.0 (* x x)))
25.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
9.0ms
(/ (sqrt (- 1.0 (* x x))) x)
25.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series606.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(sqrt (- 1.0 (* x x)))
107.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
134.0ms
(/ (sqrt (- 1.0 (* x x))) x)
298.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify52.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05121016
11814965
25002961

prune285.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))
0.3b
(/ 1 (sqrt x))
0.3b
(/ 1.0 (sqrt x))
0.3b
(/ (sqrt (- 1.0 (* x x))) (sqrt x))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
112×times-frac
104×*-un-lft-identity
93×add-sqr-sqrt sqrt-prod
82×add-cube-cbrt
35×log-prod
22×associate-+l+
18×associate-/r*
13×associate-+r+ distribute-lft-out associate-/l*
12×add-exp-log
10×pow1 add-cbrt-cube
7×difference-of-squares
6×div-inv
4×log-div div-exp log-pow add-log-exp
3×cbrt-undiv associate-+r- pow-flip frac-2neg clear-num
2×flip3-+ sqrt-div flip-+ associate-/l/
1×+-commutative associate-+l- rec-exp sqrt-undiv distribute-rgt-out flip3-- sqrt-pow1 pow1/2 1-exp frac-add sum-log flip-- inv-pow
Counts
4 → 208
Calls
4 calls:
69.0ms
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))
3.0ms
(/ 1 (sqrt x))
3.0ms
(/ 1.0 (sqrt x))
7.0ms
(/ (sqrt (- 1.0 (* x x))) (sqrt x))

series522.0ms

Counts
4 → 12
Calls
4 calls:
381.0ms
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))
28.0ms
(/ 1 (sqrt x))
45.0ms
(/ 1.0 (sqrt x))
67.0ms
(/ (sqrt (- 1.0 (* x x))) (sqrt x))

simplify75.0ms

Algorithm
egg-herbie
Counts
220 → 220
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
07872108
130091900
250011856

prune530.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes48.0ms

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

sample1.3s

Algorithm
intervals
Results
692.0ms24080×body80nan
283.0ms8000×body80valid