Details

Time bar (total: 3.8s)

sample55.0ms

Algorithm
intervals
Results
29.0ms848×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: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

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:
5.0ms
(/ (sqrt (- 1.0 (* x x))) x)
3.0ms
(sqrt (- 1.0 (* x x)))
21.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
18.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series603.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(/ (sqrt (- 1.0 (* x x))) x)
58.0ms
(sqrt (- 1.0 (* x x)))
302.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
106.0ms
(+ (/ 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
11816965
25001961

prune286.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (/ (sqrt (- 1.0 (* x x))) x))
0.0b
(sqrt (- 1.0 (* x x)))
0.0b
(log (+ (/ 1.0 x) (exp (log (/ (sqrt (- 1.0 (* x x))) x)))))
5.6b
(exp (log (/ (sqrt (- 1.0 (* x x))) x)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
54×log-prod
43×add-sqr-sqrt
42×times-frac
37×*-un-lft-identity
35×add-cube-cbrt
28×sqrt-prod
25×exp-sum
8×pow1 add-exp-log
7×difference-of-squares
6×log-div
4×exp-prod add-cbrt-cube add-log-exp
3×rem-log-exp log-pow
2×exp-diff sqrt-div div-inv
1×rem-sqrt-square flip3-- sqrt-pow1 flip3-+ pow1/2 div-exp frac-add flip-- flip-+ rem-exp-log distribute-lft-out
Counts
4 → 106
Calls
4 calls:
5.0ms
(log (/ (sqrt (- 1.0 (* x x))) x))
3.0ms
(sqrt (- 1.0 (* x x)))
22.0ms
(log (+ (/ 1.0 x) (exp (log (/ (sqrt (- 1.0 (* x x))) x)))))
6.0ms
(exp (log (/ (sqrt (- 1.0 (* x x))) x)))

series792.0ms

Counts
4 → 12
Calls
4 calls:
293.0ms
(log (/ (sqrt (- 1.0 (* x x))) x))
64.0ms
(sqrt (- 1.0 (* x x)))
297.0ms
(log (+ (/ 1.0 x) (exp (log (/ (sqrt (- 1.0 (* x x))) x)))))
136.0ms
(exp (log (/ (sqrt (- 1.0 (* x x))) x)))

simplify57.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
06211255
121271169
250011148

prune329.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes48.0ms

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
0107
1107

end0.0ms

sample1.4s

Algorithm
intervals
Results
757.0ms24086×body80nan
293.0ms8000×body80valid