Details

Time bar (total: 2.2s)

sample38.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
13.0ms273×body80nan

simplify4.0ms

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
33×times-frac
28×add-sqr-sqrt
24×add-cube-cbrt
16×sqrt-prod
8×log-prod distribute-lft-out
7×associate-/l*
6×add-exp-log
5×add-cbrt-cube div-inv add-log-exp
4×pow1 difference-of-squares
3×log-div associate-/r*
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 → 82
Calls
3 calls:
5.0ms
(/ (sqrt (- 1.0 (* x x))) x)
20.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
18.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series26.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ (sqrt (- 1.0 (* x x))) x)
13.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
6.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify44.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0460892
11597843
25002823

prune152.0ms

Filtered
72 candidates to 91 candidates (-26.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New89291
Fresh000
Picked011
Done000
Total89392

Merged error: 0b

Counts
92 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (sqrt (- 1.0 (* x x))))
0.0b
(log (+ 1.0 (sqrt (- 1.0 (* x x)))))
0.2b
(+ (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
21×log-prod
13×associate-+l+
12×add-sqr-sqrt add-cube-cbrt
9×times-frac
8×pow1
7×distribute-lft-out
5×log-div log-pow add-log-exp
4×add-exp-log associate-+r+ flip3-+ flip-+
3×add-cbrt-cube
2×+-commutative associate-+r- sum-log
1×associate-+l- rem-log-exp div-inv
Counts
3 → 62
Calls
3 calls:
9.0ms
(+ 1.0 (sqrt (- 1.0 (* x x))))
7.0ms
(log (+ 1.0 (sqrt (- 1.0 (* x x)))))
10.0ms
(+ (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))))

series37.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ 1.0 (sqrt (- 1.0 (* x x))))
10.0ms
(log (+ 1.0 (sqrt (- 1.0 (* x x)))))
23.0ms
(+ (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))))

simplify38.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0432735
11359668
25002652

prune142.0ms

Filtered
59 candidates to 71 candidates (-20.3%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New71071
Fresh011
Picked011
Done011
Total71374

Merged error: 0b

Counts
74 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))
0.3b
(/ (sqrt (- 1.0 (* x x))) (sqrt x))
0.3b
(/ 1 (sqrt x))
0.3b
(/ 1.0 (sqrt x))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
112×times-frac
104×*-un-lft-identity
93×add-sqr-sqrt sqrt-prod
82×add-cube-cbrt
35×log-prod
22×associate-+l+
18×associate-/r*
13×associate-+r+ distribute-lft-out associate-/l*
12×add-exp-log
10×pow1 add-cbrt-cube
7×difference-of-squares
6×div-inv
4×log-div div-exp log-pow add-log-exp
3×cbrt-undiv associate-+r- pow-flip frac-2neg clear-num
2×flip3-+ sqrt-div flip-+ associate-/l/
1×+-commutative associate-+l- rec-exp sqrt-undiv distribute-rgt-out flip3-- sqrt-pow1 pow1/2 1-exp frac-add sum-log flip-- inv-pow
Counts
4 → 208
Calls
4 calls:
51.0ms
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))
6.0ms
(/ (sqrt (- 1.0 (* x x))) (sqrt x))
4.0ms
(/ 1 (sqrt x))
4.0ms
(/ 1.0 (sqrt x))

series34.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(+ (log (/ 1 (sqrt x))) (log (+ (/ 1.0 (sqrt x)) (/ (sqrt (- 1.0 (* x x))) (sqrt x)))))
5.0ms
(/ (sqrt (- 1.0 (* x x))) (sqrt x))
6.0ms
(/ 1 (sqrt x))
7.0ms
(/ 1.0 (sqrt x))

simplify78.0ms

Algorithm
egg-herbie
Counts
220 → 220
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
07962055
131691885
250011841

prune304.0ms

Filtered
134 candidates to 220 candidates (-64.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2200220
Fresh000
Picked011
Done022
Total2203223

Merged error: 0b

Counts
223 → 3

regimes102.0ms

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

sample1.1s

Algorithm
intervals
Results
421.0ms8000×body80valid
385.0ms8098×body80nan

Profiling

Loading profile data...