Details

Time bar (total: 5.0s)

sample77.0ms

Algorithm
intervals
Results
40.0ms766×body80nan
16.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2167

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

localize9.0ms

Local error

Found 3 expressions with local error:

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))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt
9×add-cube-cbrt
8×log-prod distribute-lft-out
5×pow1 add-log-exp
4×add-exp-log sqrt-prod div-inv
3×log-div add-cbrt-cube
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 → 53
Calls
3 calls:
2.0ms
(sqrt (- 1.0 (* x x)))
18.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
20.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series466.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(sqrt (- 1.0 (* x x)))
301.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
103.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify43.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0421620
11463576
25001565

prune135.0ms

Filtered
62 candidates to 52 candidates (83.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New61162
Fresh000
Picked011
Done000
Total61263

Merged error: 0b

Counts
63 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.5b
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.5b
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.5b
(* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
91×*-un-lft-identity
64×cbrt-prod
42×times-frac
37×add-sqr-sqrt
33×cbrt-div
30×distribute-lft-out
29×add-cube-cbrt
14×div-inv
13×swap-sqr
11×pow1 flip3-+ associate-*r* associate-*l* frac-add flip-+
9×frac-times pow1/3
7×distribute-rgt-out
6×add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r/ associate-*l/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 129
Calls
4 calls:
20.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
18.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
18.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
44.0ms
(* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

series1.7s

Counts
4 → 12
Calls
4 calls:
392.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
391.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
385.0ms
(cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
567.0ms
(* (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (cbrt (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))

simplify85.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05882613
123622496
250012354

prune407.0ms

Filtered
141 candidates to 101 candidates (71.6%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1410141
Fresh000
Picked011
Done011
Total1412143

Merged error: 0b

Counts
143 → 2

regimes49.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107
1107

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.0s24206×body80nan
392.0ms8000×body80valid

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