Details

Time bar (total: 1.4s)

analyze5.0ms

Algorithm
search

sample18.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0127
1167
2167

prune3.0ms

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))

rewrite47.0ms

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:
3.0ms
(sqrt (- 1.0 (* x x)))
24.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
19.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series23.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(sqrt (- 1.0 (* x x)))
12.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
6.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify43.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0421620
11466576
25001566

prune119.0ms

Filtered
52 candidates to 62 candidates (-19.2%)
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:

0.3b
(/ 1 (sqrt x))
0.3b
(/ 1.0 (sqrt x))
0.3b
(/ (sqrt (- 1.0 (* x x))) (sqrt x))
0.5b
(* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
116×times-frac
105×add-sqr-sqrt
102×*-un-lft-identity
95×sqrt-prod
82×add-cube-cbrt
22×associate-*l*
21×add-exp-log
18×associate-/r*
15×add-cbrt-cube
13×associate-*r* associate-/l*
9×distribute-lft-out
8×pow1
7×difference-of-squares
6×div-exp div-inv
5×unswap-sqr
4×cbrt-undiv prod-exp add-log-exp
3×frac-times pow-flip frac-2neg associate-*r/ clear-num
2×rec-exp flip3-+ sqrt-div 1-exp frac-add cbrt-unprod flip-+ associate-/l/
1×distribute-rgt-in sqrt-undiv distribute-rgt-out flip3-- distribute-lft-in sqrt-pow1 pow1/2 pow-prod-down associate-*l/ *-commutative flip-- inv-pow
Counts
4 → 218
Calls
4 calls:
7.0ms
(/ 1 (sqrt x))
4.0ms
(/ 1.0 (sqrt x))
7.0ms
(/ (sqrt (- 1.0 (* x x))) (sqrt x))
57.0ms
(* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))

series35.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ 1 (sqrt x))
7.0ms
(/ 1.0 (sqrt x))
5.0ms
(/ (sqrt (- 1.0 (* x x))) (sqrt x))
16.0ms
(* (/ 1 (sqrt x)) (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x))))

simplify100.0ms

Algorithm
egg-herbie
Counts
230 → 230
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
09372143
146091954
250011908

prune289.0ms

Filtered
139 candidates to 230 candidates (-65.5%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2300230
Fresh000
Picked011
Done011
Total2302232

Merged error: 0b

Counts
232 → 2

regimes97.0ms

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
01712
11712

end0.0ms

analyze4.0ms

Algorithm
search

sample482.0ms

Algorithm
intervals
Results
394.0ms8000×body80valid
0.0ms1×body80nan

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