Details

Time bar (total: 4.0s)

sample67.0ms

Algorithm
intervals
Results
37.0ms820×body80nan
12.0ms256×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 4 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))
0.0b
(/ (sqrt (- 1.0 (* x x))) x)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
33×times-frac
32×add-sqr-sqrt
26×add-cube-cbrt
20×sqrt-prod
8×log-prod distribute-lft-out
7×add-exp-log associate-/l*
6×pow1 add-cbrt-cube add-log-exp
5×div-inv difference-of-squares
4×sqrt-div
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 → 98
Calls
4 calls:
3.0ms
(sqrt (- 1.0 (* x x)))
22.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
19.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
6.0ms
(/ (sqrt (- 1.0 (* x x))) x)

series605.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(sqrt (- 1.0 (* x x)))
297.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
111.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))
131.0ms
(/ (sqrt (- 1.0 (* x x))) x)

simplify52.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05121016
11814965
25002961

prune248.0ms

Filtered
110 candidates to 88 candidates (80.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1091110
Fresh000
Picked011
Done000
Total1092111

Merged error: 0b

Counts
111 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
62×sqrt-prod
59×*-un-lft-identity
58×times-frac
41×add-cube-cbrt
31×associate-*r*
14×difference-of-squares
12×sqrt-div
11×add-exp-log add-cbrt-cube
9×associate-/l*
7×pow1 associate-*l* distribute-lft-out--
6×flip3-+ flip-+ add-log-exp unswap-sqr
5×frac-add
4×frac-times associate-*l/
3×associate-/r*
2×cbrt-undiv associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ distribute-lft-out
1×+-commutative rem-sqrt-square flip3-- frac-2neg sqrt-pow1 pow1/2 pow-prod-down clear-num sum-log *-commutative flip--
Counts
4 → 147
Calls
4 calls:
10.0ms
(+ (/ 1.0 x) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x)))
4.0ms
(sqrt (+ (sqrt 1.0) x))
8.0ms
(/ (sqrt (- (sqrt 1.0) x)) x)
20.0ms
(* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x))

series632.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(+ (/ 1.0 x) (* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x)))
67.0ms
(sqrt (+ (sqrt 1.0) x))
156.0ms
(/ (sqrt (- (sqrt 1.0) x)) x)
234.0ms
(* (sqrt (+ (sqrt 1.0) x)) (/ (sqrt (- (sqrt 1.0) x)) x))

simplify76.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06531722
126171638
250011618

prune346.0ms

Filtered
159 candidates to 106 candidates (66.7%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1590159
Fresh000
Picked011
Done011
Total1592161

Merged error: 0b

Counts
161 → 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

sample1.8s

Algorithm
intervals
Results
1.0s24348×body80nan
387.0ms8000×body80valid

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