Details

Time bar (total: 4.4s)

sample60.0ms

Algorithm
intervals
Results
31.0ms687×body80nan
13.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
47×*-un-lft-identity
42×times-frac
35×add-sqr-sqrt
31×add-cube-cbrt
16×sqrt-prod
13×fma-def
8×log-prod distribute-lft-out
7×associate-/l*
6×add-exp-log div-inv
5×add-cbrt-cube add-log-exp
4×pow1 difference-of-squares
3×expm1-log1p-u log-div associate-/r* log1p-expm1-u
2×distribute-rgt-out flip3-+ sqrt-div frac-add flip-+ associate-/l/
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp rem-log-exp clear-num sum-log log-pow flip--
Counts
3 → 101
Calls
3 calls:
20.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
24.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
6.0ms
(/ (sqrt (- 1.0 (* x x))) x)

series506.0ms

Counts
3 → 9
Calls
3 calls:
282.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
98.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
127.0ms
(/ (sqrt (- 1.0 (* x x))) x)

simplify53.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0479926
11679875
25001867

prune228.0ms

Filtered
110 candidates to 91 candidates (82.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1091110
Fresh000
Picked011
Done000
Total1092111

Merged error: 0b

Counts
111 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))
0.0b
(/ (sqrt (- 1.0 (* x x))) x)
0.0b
(log1p (/ (sqrt (- 1.0 (* x x))) x))
5.7b
(expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
30×times-frac
29×*-un-lft-identity
27×add-cube-cbrt
16×sqrt-prod
13×fma-def
7×associate-/l*
6×add-exp-log add-cbrt-cube add-log-exp
5×expm1-log1p-u
4×pow1 log1p-expm1-u difference-of-squares
3×associate-/r*
2×sqrt-div div-inv associate-/l/ expm1-udef
1×cbrt-undiv +-commutative associate-+r- log1p-udef expm1-log1p flip3-- frac-2neg flip3-+ log1p-expm1 div-exp clear-num sum-log flip-- flip-+ distribute-lft-out
Counts
4 → 97
Calls
4 calls:
8.0ms
(+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))
6.0ms
(/ (sqrt (- 1.0 (* x x))) x)
1.0ms
(log1p (/ (sqrt (- 1.0 (* x x))) x))
1.0ms
(expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))

series956.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(+ (/ 1.0 x) (expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x))))
134.0ms
(/ (sqrt (- 1.0 (* x x))) x)
286.0ms
(log1p (/ (sqrt (- 1.0 (* x x))) x))
376.0ms
(expm1 (log1p (/ (sqrt (- 1.0 (* x x))) x)))

simplify64.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0515886
11961834
25002814

prune276.0ms

Filtered
109 candidates to 92 candidates (84.4%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1090109
Fresh000
Picked011
Done011
Total1092111

Merged error: 0b

Counts
111 → 2

regimes49.0ms

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

sample2.1s

Algorithm
intervals
Results
1.3s24149×body80nan
418.0ms8000×body80valid