Details

Time bar (total: 3.8s)

sample50.0ms

Algorithm
intervals
Results
24.0ms805×body80nan
9.0ms256×body80valid

simplify6.0ms

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: 0.3b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity
42×times-frac
39×add-sqr-sqrt
33×add-cube-cbrt
20×sqrt-prod
13×fma-def
8×log-prod distribute-lft-out
7×add-exp-log associate-/l*
6×pow1 add-cbrt-cube div-inv add-log-exp
5×difference-of-squares
4×expm1-log1p-u sqrt-div log1p-expm1-u
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 → 119
Calls
4 calls:
21.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
6.0ms
(/ (sqrt (- 1.0 (* x x))) x)
3.0ms
(sqrt (- 1.0 (* x x)))
23.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

series603.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
137.0ms
(/ (sqrt (- 1.0 (* x x))) x)
57.0ms
(sqrt (- 1.0 (* x x)))
302.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))

simplify55.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
05371057
119231003
25001992

prune308.0ms

Filtered
131 candidates to 109 candidates (83.2%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1301131
Fresh000
Picked011
Done000
Total1302132

Merged error: 0b

Counts
132 → 2

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)

series915.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt x)
176.0ms
(cbrt x)
378.0ms
(cbrt x)
180.0ms
(cbrt x)

simplify132.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
042172
183160
2195152
3699152
44132152
55001152

prune197.0ms

Filtered
64 candidates to 56 candidates (87.5%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New64064
Fresh000
Picked011
Done011
Total64266

Merged error: 0b

Counts
66 → 2

regimes51.0ms

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 (1.0ms)

IterNodesCost
01915
11915

end0.0ms

sample1.4s

Algorithm
intervals
Results
747.0ms24233×body80nan
295.0ms8000×body80valid